Answer:
4
Step-by-step explanation:
4 x .25 = 1
Answer:
its 4
Step-by-step explanation:
1÷4×100
=25%
(1×100)÷25
=4
Practice 5
In Richmond, Virginia, the average daily high temperature was 90°F for July. The average daily low temperature for the same month was 69°F. If a day's temperature change is measured by comparing the morning/low temperature to the afternoon/high temperature, what is the percent of increase between the average low and high temperatures in July? Round your answer to the tenths place. Do not include the % symbol in your answer.
26°F in July would be the percent of increase between the average low and high temperatures.
What is the temperature range?The difference between how hot and how cold two locations are is known as the temperature range.So, the month's typical daily maximum temperature is 90°F.
The month's typical low temperature is 69°F.The difference in temperature between the two ranges is 21°F or 90-69°F.When comparing the two temperatures, the result is:
79.5°F = 90+69/2 = 159/2The daily low-temperature increase as a percentage:
= 21/79.5 × 100/1= 2100/79.5= 26.4= 26°F ( nearest to the tenth place)Therefore, 26°F in July would be the percent of increase between the average low and high temperatures.
Know more about temperature range here:
https://brainly.com/question/25677592
#SPJ1
If s(y)=(2y−7)/(y−A) and s(2)=−3, what is the value of A ?
The value of A is 1.
To find the value of A, we need to use the given information that s(2) = -3.
First, let's substitute y = 2 into the expression for s(y):
s(y) = (2y - 7) / (y - A)
s(2) = (2(2) - 7) / (2 - A)
-3 = (4 - 7) / (2 - A)
-3 = -3 / (2 - A)
To eliminate the denominator, we can cross-multiply:
-3(2 - A) = -3
-6 + 3A = -3
3A = -3 + 6
3A = 3
A = 3 / 3
A = 1
Learn more about value here :-
https://brainly.com/question/1578158
#SPJ11
14.2=2(-5.8+t) i dont know the answer
Answer:
t = 12.9
Step-by-step explanation:
Here is the answer (i think)
t = 1 2. 9
PlZ HELP i dont know answer
An isosceles triangle has an angle that measures 118°. Which other angles could be in that isosceles triangle? Choose all that apply. a 69° b 31 c 118 d 54
Answer:
b. 31.
Step-by-step explanation:
The other 2 angles in the triangle are congruent so they are:
(180 - 118) / 2
= 31 degrees.
The possible measure of two similar angles in an isosceles triangle could be b. 31 °
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know in an isosceles triangle two sides are equal and angles opposite sides to the equal side are also equal.
We also know that the sum of all the interior angles in a triangle is 180°.
Let, The similar angles be 'x'.
Therefore,
x + x + 118 = 180
2x = 62.
x = 31°.
learn more about the isosceles triangle here :
https://brainly.com/question/2456591
#SPJ2
9. Suppose a boat travels 96 miles downstream and then travels the same distance
upstream. In still water, the boat travels at a speed of 18 mph. Let x be the speed of
the current. If the total trip takes 12 hours, find the speed of the current to the
nearest whole number. Use t = . (Hint: Going downstream, the boat is going
with the current and going upstream, the boat is going against the current.) [10
points]
If the total trip takes 12 hours, the speed of the current is 1 mph.
What is speed?The speed of an object is described as the magnitude of the change of its position over time or the magnitude of the change of its position per unit of time.
The downstream trip:
distance = rate × time
96 = (18 + x) × t ( 18 + x)
The upstream trip:
distance = rate × time
96 = (18 - x) × (12 - t)
96 = (18 - x) × (12 - t)
8 = x - (x/6)t
We have two equations and two unknowns, so we can solve for x and t.
We solve for x by making t subject fomula and substituting into the equation.
Where x = 1
In conclusion, if the total trip takes 12 hours, the speed of the current is 1 mph.
Learn more about speed at: https://brainly.com/question/4931057
#SPJ1
a travel agent is interested in the average price of a hotel room during the summer in a resort community. the agent randomly selects 1919 hotels from the community and determines the price of a regular room with a king size bed. the average price of the room for the sample was $140$140 with a standard deviation of $25$25. assume the prices are normally distributed. construct an interval to estimate the true average price of a regular room with a king size bed in the resort community with 99�% confidence. round the endpoints to two decimal places, if necessary.
The 99% confidence interval for the true average price of a regular room with a king size bed in the resort community is $125.35 to $154.65.
To construct a 99% confidence interval for the true average price of a regular room with a king size bed in the resort community, we can use the sample mean and standard deviation.
Since the sample size is large (n = 19), we can assume that the sampling distribution of the sample mean is approximately normally distributed.
To calculate the margin of error, we need to find the critical value corresponding to a 99% confidence level. The critical value can be obtained from the z-table or by using a calculator. For a 99% confidence level, the critical value is approximately 2.576.
The margin of error is calculated by multiplying the critical value by the standard deviation divided by the square root of the sample size. In this case, the margin of error is (2.576 * 25) / √19 ≈ 14.65.
To construct the confidence interval, we subtract and add the margin of error from the sample mean. Therefore, the 99% confidence interval for the true average price of a regular room with a king size bed in the resort community is approximately $140 - $14.65 to $140 + $14.65, which is $125.35 to $154.65.
In summary, the 99% confidence interval for the true average price of a regular room with a king size bed in the resort community is $125.35 to $154.65.
Learn more about confidence interval from the following link:
https://brainly.com/question/20309162
#SPJ11
Create a function called sensor_value that randomly generates a number between ( 0 and 3 ). Create a new function called Gate_Control that uses the function sensor_value to generate two semaphores: Gate and Counter. The semaphore Gate is passed if the output is 2 . On the other hand the semaphore Counter is passed if the output is 1 , or 3 ). Then create a thread using the Gate_Control function. C should be used and code should be ready to be executed
We have been able to create a thread that uses Gate_Control function and then shown the code generated.
How to use the Gate Control Function?A thread that uses Gate_Control function and the code generated is as follows:
#include <stdio.h>
#include <stdlib.h>
#include <pthread.h>
#include <semaphore.h>
#include <unistd.h>
sem_t Gate, Counter;
// Function to generate a random number between 0 and 3
int sensor_value() {
return rand() % 4;
}
// Function for the Gate_Control thread
void* Gate_Control(void* arg) {
while (1) {
int value = sensor_value();
if (value == 2) {
// Passing the Gate semaphore
sem_post(&Gate);
}
if (value == 1 || value == 3) {
// Passing the Counter semaphore
sem_post(&Counter);
}
usleep(1000000); // Wait for 1 second
}
return NULL;
}
int main() {
srand(time(NULL));
// Initialize semaphores
sem_init(&Gate, 0, 0);
sem_init(&Counter, 0, 0);
// Create the Gate_Control thread
pthread_t gateControlThread;
pthread_create(&gateControlThread, NULL, Gate_Control, NULL);
// Main thread waits for the Gate semaphore
while (1) {
sem_wait(&Gate);
// Gate semaphore passed
printf("Gate semaphore passed\n");
}
// Cleanup and exit
sem_destroy(&Gate);
sem_destroy(&Counter);
return 0;
}
Read more about Gate control Function at: https://brainly.com/question/30825273
#SPJ1
The speed limit on a road drops down to 15 miles per hour around a curve. Mr. Gerard slows down by 10 miles per hour as he drives around the curve. He never drives above the speed limit. At what speed was Mr. Gerard driving before the curve? Please write your inequality.
Answer:
x ≤ 25mph
Step-by-step explanation:
Given that :
Speed limit drops to 15 miles per hour at curve
Driver slows down by 10 miles per hour as he drives around the curve
The driver's speed before reaching the curve is :
Let speed befure curve = x
Lowest speed before curve = 15 +. 10 = 25 mph
x ≤ 25mph
PLEASE HELP ME ITS TIMED!!
Answer:
x=10
Step-by-step explanation:
x^2 + 24^2 = 26^2
x^2 + 576 = 676
x^2 = 100
√x^2 = √100
x=10
Answer:
well, we carry 2 of 2 of x so we know that 10 is in because of 6 +4 and 2+2=4 add them up so if im correct its 14 mark brainleist
Step-by-step explanation:
i took a sample of the grade point averages for students in my class. for the 25 students, the standard deviation of grade points was 0.65 and the mean was 2.89. the standard error for the sample was:
The standard error for the sample was 0.13 when "for the 25 students, the standard deviation of grade points was 0.65 and the mean was 2.89."
What is standard error?The standard deviation of a statistic's sampling distribution, or an estimate of that standard deviation, is the statistic's standard error. The term "standard error of the mean" is used when referring to a statistic that is the sample mean. By dividing the standard deviation by the square root of the sample size, the standard error is determined. By taking into account the sample-to-sample variability of the sample means, it provides the precision of a sample mean.
Here,
The standard error=standard deviation/√number of samples
=0.65/√25
=0.65/5
=0.13
When "for the 25 students, the standard deviation of grade points was 0.65 and the mean was 2.89," the standard error for the sample was 0.13.
To know more about standard error,
https://brainly.com/question/13905583?referrer=searchResults
#SPJ4
How many times "Welcome to CS204!" is printed? Counter =10 do print "Welcome to CS204!" counter = counter +1 while counter >6 find time complexity:
The statement "Welcome to CS204!" is printed 6 times in total. The time complexity of this loop is O(1)
Initially, the counter is set to 10. The loop is a "do-while" loop, which means that the code block inside the loop will be executed at least once, regardless of the condition.
In each iteration of the loop, the statement "Welcome to CS204!" is printed, and then the counter is incremented by 1 using the line counter = counter + 1;.
The condition for the loop to continue is counter > 6. As long as this condition is true, the loop will repeat.
Now let's trace the execution:
The counter is 10, which is greater than 6. The statement "Welcome to CS204!" is printed, and the counter is incremented to 11.The counter is 11, which is still greater than 6. The statement "Welcome to CS204!" is printed, and the counter is incremented to 12.The counter is 12, which is still greater than 6. The statement "Welcome to CS204!" is printed, and the counter is incremented to 13.The counter is 13, which is still greater than 6. The statement "Welcome to CS204!" is printed, and the counter is incremented to 14.The counter is 14, which is still greater than 6. The statement "Welcome to CS204!" is printed, and the counter is incremented to 15.The counter is 15, which is still greater than 6. The statement "Welcome to CS204!" is printed, and the counter is incremented to 16.The counter is 16, which is no longer greater than 6. The condition is false, and the loop terminatesTherefore, the statement "Welcome to CS204!" is printed 6 times in total.
Regarding the time complexity, the loop will execute a constant number of times (6 times in this case) regardless of the input size or value. Therefore, the time complexity of this loop is O(1), indicating constant time complexity.
Learn more about loop at https://brainly.com/question/32781538
#SPJ11
Rolf owns a package delivery business. During the current year, he purchased and placed into service $1,080,000 worth of equipment. Rolf is in the highest marginal income tax bracket this year and expects to be in that bracket for two more years. After that, he plans to semi-retire but keep the business open for another three to five years. He expects to drop into the lower marginal brackets when he semi-retires. What advice would you give Rolf regarding the use of Section 179 and cost recovery deductions
I would advise Rolf to take advantage of the Section 179 deduction for the current year to maximize his tax savings. By doing so, he can deduct the full cost of the equipment purchased and placed into service, up to the Section 179 limit.
Rolf should consider utilizing the Section 179 deduction, which allows business owners to deduct the full cost of qualifying equipment purchased and placed into service during the year, instead of depreciating it over several years. The current Section 179 limit is $1,050,000. Since Rolf purchased equipment worth $1,080,000, he can fully deduct this amount, subject to the limit. By taking advantage of this deduction, Rolf can significantly reduce his taxable income for the current year, thereby lowering his tax liability in the highest marginal tax bracket.
Furthermore, Rolf's plan to semi-retire in the future and potentially drop into lower marginal tax brackets should be considered when deciding whether to utilize cost recovery deductions such as depreciation. If Rolf expects to be in a lower tax bracket in the coming years, it may be more advantageous to spread the deductions over the useful life of the equipment through depreciation. This would allow him to offset income in future years when his tax rate is lower. However, since Rolf plans to keep the business open for another three to five years before fully retiring, it is important to assess the potential tax implications during this period. Consulting with a tax professional would be beneficial in determining the most suitable strategy for Rolf's specific circumstances.
Learn more about tax liability here:
https://brainly.com/question/31965060
#SPJ11
A single person earns a gross biweekly salary of $840 and claims 5 exemptions. How will federal taxes affect his net pay?
Option (a) it is the same as the gross pay. is true statement about a person who is claiming 5 exemptions and biweekly salary of $ 840.
What separates a gross pay from a net salary?Yοur incοme is referred tο be yοur grοss pay if it is unaffected by taxes and οther withhοldings.
When referring tο yοur yearly grοss incοme, the phrase "annual pay" is frequently used. Net pay is the amοunt that remains after deductiοns like sοcial security and incοme tax have been made.
the persοn want mοre exemptiοns, it means that persοn thinks that, his οr her salary is less than οthers when cοmpared with οther emplοyee having mοre expenditure, and he οr she dοes nοt want tο pay tax οr will pay minimum amοunt οf tax tο the Gοvernment.
Sο, tο dο this he want exemptiοns.
As,persοn earns a grοss biweekly salary οf $840 and claims 5 exemptiοns.
→it means he οr she want tο reduce his tοtal tax tο minimum amοunt.
→it means he οr she dοes nοt have enοugh mοney in his οr her pοcket thrοughοut the year.
→ there will be nο tax deductiοn οn persοn net pay.And if he fοund caught cheating , he will have tο pay Penality.
Sο, οptiοn (a) it is the same as the grοss pay. is true statement abοut a persοn whο is claiming 5 exemptiοns and biweekly salary οf $ 840.
Learn more about Gross pay
brainly.com/question/14690804
#SPJ1
Y=(x-5)(2x+3) x intercept? HELPPP
Answer:
To find the x-intercept, substitute in 00 for yy and solve for xx. To find the y-intercept, substitute in 00 for xx and solve for yy.x-intercept(s): (5,0),(−32,0),(0,0)(5,0),(-32,0),(0,0)y-intercept(s): (0,0)
Hope this helps! :)
A poster needs to be pasted on a rectangular wall of area 64 sq cm. The area of the poster is 48 sq cm. Sheela says it is not possible to fix the poster on the wall, even though the area of the poster is less than the area of the wall. What could be the reason? Explain your answer with calculations
The reason it is not possible to fix the poster on the wall, even though the area of the poster is less than the area of the wall.
Sheela is correct. It is not possible to fix the poster on the wall, even though the area of the poster is less than the area of the wall.
The reason is that the dimensions of the poster are larger than the dimensions of the wall, which means it cannot fit properly.
Let's assume the length and width of the wall are Lw and Ww, respectively, and the length and width of the poster are Lp and Wp, respectively.
Given:
Area of the wall = 64 sq cm
Area of the poster = 48 sq cm
We know that the area of a rectangle is calculated by multiplying its length by its width:
Area of the wall = Lw * Ww
Area of the poster = Lp * Wp
From the given information, we have:
Lw * Ww = 64 ---(Equation 1)
Lp * Wp = 48 ---(Equation 2)
We need to compare the dimensions of the poster (Lp and Wp) with the dimensions of the wall (Lw and Ww).
Let's consider the scenario where the dimensions of the poster are larger than the dimensions of the wall:
Lp > Lw and Wp > Ww
If we substitute these values in Equation 2, we get:
Lw * Ww = 48
Since Lp > Lw and Wp > Ww, the area of the poster (48 sq cm) cannot fit within the area of the wall (64 sq cm).
Therefore, the reason it is not possible to fix the poster on the wall, even though the area of the poster is less than the area of the wall, is that the dimensions of the poster are larger than the dimensions of the wall, making it impossible to fit the entire poster on the wall.
Learn more about area here: brainly.com/question/1631786
#SPJ11
HELP ME ASAP!!! PLS!!
The Chu family can hike 3 miles per hour. How long will it take them to hike 15 miles?
A- 3.75 hours
B- 4 hours
C- 4.5 hours
D- 5 hours
Answer:
D- 5hrs
Step-by-step explanation:
If the family can hike 3 miles per hour,
for 15 miles: 15/3 = 5 hours.
Every hour they cover 3 miles per hour, so to cover 15 miles, they will take 5 hours
Answer:
D. 5 hours
Step-by-step explanation:
3 miles per 1 hour so 3/1
15 miles per x hours so 15/x
3/1 = 15/x or 3 = 15/x
get x by itself so
3 divided by 3 and 15 divided by 3
x = 5 hours
what is the rate of change of the function y=4x-2
Answer: 4
Step-by-step explanation: x is multiplied by 4
Numerical Integration • The function f(x)=e* can be used to generate the following table of unequally spaced data = x O 0.1 0.3 0.5 0.7 0.95 1.2 f(x) 1 0.9048 0.7408 0.6065 0.4966 0.3867 0.3012 . =
Numerical integration is a numerical analysis technique for calculating the approximate numerical value of a definite integral.
In general, integrals can be either indefinite integrals or definite integrals. A definite integral is an integral with limits of integration, while an indefinite integral is an integral without limits of integration.A numerical integration formula is an algorithm that calculates the approximate numerical value of a definite integral. Numerical integration is based on the approximation of the integrand using a numerical quadrature formula.
The numerical quadrature formula is used to approximate the value of the integral by breaking it up into small parts and summing the parts together.Equations for the calculation of integration by trapezoidal rule (1/2)h[f(x0)+2(f(x1)+...+f(xn-1))+f(xn)] where h= Δx [the space between the values], and x0, x1, x2...xn are the coordinates of the abscissas of the nodes. The basic principle is to replace the integral by a simple sum that can be calculated numerically. This is done by partitioning the interval of integration into subintervals, approximating the integrand on each subinterval by an interpolating polynomial, and then evaluating the integral of each polynomial.
Based on the given table of unequally spaced data, we are to calculate the approximate numerical value of the definite integral. To do this, we will use the integration formula as given by the trapezoidal rule which is 1/2 h[f(x0)+2(f(x1)+...+f(xn-1))+f(xn)] where h = Δx [the space between the values], and x0, x1, x2...xn are the coordinates of the abscissas of the nodes. The table can be represented as follows:x 0.1 0.3 0.5 0.7 0.95 1.2f(x) 1 0.9048 0.7408 0.6065 0.4966 0.3867 0.3012Let Δx = 0.1 + 0.2 + 0.2 + 0.25 + 0.25 = 1, and n = 5Substituting into the integration formula, we have; 1/2[1(1)+2(0.9048+0.7408+0.6065+0.4966)+0.3867]1/2[1 + 2.3037+ 1.5136+ 1.1932 + 0.3867]1/2[6.3972]= 3.1986 (to 4 decimal places)
Therefore, the approximate numerical value of the definite integral is 3.1986.
The approximate numerical value of a definite integral can be calculated using numerical integration formulas such as the trapezoidal rule. The trapezoidal rule can be used to calculate the approximate numerical value of a definite integral of an unequally spaced table of data.
To know more about Numerical integration visit
https://brainly.com/question/31148471
#SPJ11
factorize the following expressions completely 5-20v
Answer:
5(1-4v)
Step-by-step explanation:
Divide the expression by 5
(5-20v) / 5
_____________
5(1-4v)
find this expression in square form with process pls help me !!!!
Answer:
(p -3q )(p -3q )
Step-by-step explanation:
p'2 - 6pq + 9q'2
(p -3q )(p -3q )
find two values that add to give 6 and multiply to 9
p x p =p'2
-3q x p = -3pq -3 x pq = -3pq ...... -3pq - 3pq = -6pq
-3q x - 3q = 9q'2
One-third of the students in Mrs. Hayko's class walk to school. Of the students who do not walk to school, four-fifths take the bus.
a.) What fraction of the students in Mrs. Hayko's class take the bus to school?
b.) How many students might be there in her class?
Answer:
The possible number of students in Mrs. Hayko's class is limited to 15 or 30, as higher multiples of 15 would exceed the desired class size.
Step-by-step explanation:
a)
Let 'x' be the total number of students in Mrs. Hayko's class.
One-third of the students walk to school: (1/3)x.
The remaining students who do not walk to school: (2/3)x.
Four-fifths of the non-walking students take the bus: (4/5) * (2/3)x.
Simplify to find the fraction of students taking the bus: (8/15)x.
b)
Consider different values for 'x' to find a whole number of students taking the bus.
Start with a small number, such as x = 15.
Calculate the number of students taking the bus using (8/15)x.
If the result is a whole number, it's a possible class size.
Repeat with different values of 'x' until a whole number is obtained.
The possible number of students in Mrs. Hayko's class could be 15, 30, or any other multiple of 15.
A steel company is making flat rectangular frames as a part of a new product they are launching. Each frame will be cut out of a piece of steel and will have a final area as close to 28 cm2 as possible. The width of the frame needs to be uniform throughout. The inside dimensions of the frame must be 11 cm by 6 cm.Complete the equation that models the above situation, and find the width of the frame, x.The area of the steel frame can be modeled by the following equation.x2 +x - 28 = 0The width of the frame, x, rounded to the nearest hundredth, is approximatelycm.
The steel company is making flat rectangular frames. So,The width of the frame, x, rounded to the nearest hundredth, is approximately 4.38 cm.
To find the width of the frame, we need to solve the equation \(x^2 + x - 28 = 0\). This equation represents the area of the steel frame, which needs to be as close to \(28 cm^2\) as possible.
To solve the equation, we can use factoring or the quadratic formula. In this case, factoring the equation is not straightforward, so we'll use the quadratic formula:
\(x = (-b \pm \sqrt{(b^2 - 4ac)} ) / (2a)\)
For the given equation\(x^2 + x - 28 = 0\), we have \(a = 1\), \(b = 1\), and\(c = -28\). Substituting these values into the quadratic formula, we get:
\(x = (-1 \pm \sqrt{(1^2 - 4(1)(-28))}) / (2(1))\)
Simplifying the expression further:
\(x = (-1 \pm\sqrt{(1 + 112)}) / 2\)
\(x = (-1 \pm \sqrt{(1 + 112)}) / 2\)
The two possible solutions are obtained by taking the positive and negative square roots of 113 and dividing them by 2. Rounding to the nearest hundredth, we find that x is approximately 4.38 cm.
Learn more about quadratic here:
https://brainly.com/question/22364785
#SPJ11
The measure of an angle is 1.6°. What is the measure of its complementary angle?
Step-by-step explanation:
From the image, let Angle 1 be x, and angle 2 be 16°
\({ \tt{x + 16 = 180}} \\ { \tt{x = 164 \degree}}\)
Even if you don’t think it is an independent variable, _____ is usually always plotted on the “x” axis.
Help?
Answer:
Y axis is dependent
Step-by-step explanation:
and x axis is independent, so if its on the x axis, its alwasy a independent variable, hope it helped Lol
How can you tell that 3.590 and 3.59 are equivalent decimals?
Answer:
That video should help you a lot...
Step-by-step explanation:
https://youtu.be/u2L0qWVePfc
Jane's school is due west of her house and due south of her friend Norma's house. The distance between the school and Norma's house is 8 kilometers and the straight-line distance between Jane's house and Norma's house is 9 kilometers. How far is Jane's house from school? If necessary, round to the nearest tenth.
Answer
Distance = 4.1 km
Explanation
Let the distance between Jane's house from school be x
The distance can be calculated using pythagora's theorem
\(\begin{gathered} \text{Hypotenus}^2=opposite^2+adjacent^2 \\ \text{Hypotenus = 9km, opposite = 8km and adjacent = x km} \\ 9^2=8^2+x^2 \\ \text{Isolate x}^2 \\ 81=64+x^2 \\ \text{Collect the like terms} \\ 81-64=x^2 \\ 17=x^2 \\ \text{Take the square roots of both sides} \\ \text{x = }\sqrt[]{17} \\ \text{x = 4.1 km} \end{gathered}\)Therefore, the distance between Jane's house from school is 4.1 km
Shelly and Terrence completed a different number of tasks in a game. Shelly earned 90 points on each task. Terrence's total points were 20 less than Shelly's total. The expression below shows Terrence's total points in the game:
90x − 20
What does the factor x of the first term of the expression represent? (2 points)
Group of answer choices
The total number of tasks Terrence completed
The total number of tasks Shelly completed
The sum of Shelly's and Terrence's total points
The difference between Shelly's and Terrence's total points
The total number of tasks Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed
The factor 'x' in the expression '90x - 20' represents the total number of tasks that Terrence completed in the game.
To understand why, let's break down the given information. It states that Shelly and Terrence completed a different number of tasks. Shelly earned 90 points on each task, so the total number of tasks she completed is not represented by 'x'.
On the other hand, Terrence's total points were 20 less than Shelly's total. This means that Terrence's total points can be calculated by subtracting 20 from Shelly's total points. Since Shelly earned 90 points on each task, her total points would be 90 multiplied by the number of tasks she completed.
So, the expression '90x - 20' represents Terrence's total points in the game, where 'x' represents the total number of tasks that Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed, we can calculate his total points.
Therefore, the correct answer is: The total number of tasks Terrence completed.
for more such question on substituting visit
https://brainly.com/question/22340165
#SPJ8
what is the surface area, in square inches, of the rectangular prism formed by folding the next below?
Therefore, the surface area of the rectangular prism is 2600 square inches.
What is surface area?In geometry, surface area is the total area that the surface of a 3-dimensional object covers. It is the sum of the areas of all the faces or surfaces that make up the object. Surface area is often used to determine the amount of material needed to cover an object or to calculate the heat transfer between an object and its surroundings.
Here,
To find the surface area of the rectangular prism, we need to find the area of each of its faces and add them together. Looking at the net, we see that there are three pairs of identical rectangles: the top and bottom faces, the front and back faces, and the left and right faces. Each of these rectangles has dimensions of 23 inches by 8 inches.
Therefore, the surface area of the rectangular prism is:
=2 * (23 in. * 8 in.) (top and bottom faces)
=2 * (36 in. * 8 in.) (front and back faces)
=2 * (23 in. * 36 in.) (left and right faces)
= 368 + 576 + 1656
= 2600 square inches
To know more about surface area,
https://brainly.com/question/29101132
#SPJ1
question:To make a certain shade of paint, Anya mixed 2/3 cups of white paint with 2 2/3 cups of blue paint
How many cups of blue paint should she mix with 3 cups of white paint to make the same shade?
Step-by-step explanation:
2/3 cups white paint mix with 2 2/3 cups = 8/3 cups blue paint.
so, 2/3 / 8/3 = 2×3 / 3×8 = 6/24 = 1/4.
therefore, the mix ratio white/blue paint is 1/4 (1 part white, 4 parts blue).
so, for 3 cups of white paint we need 3×4 = 12 cups of blue paint.