In order to calculate how much was collected for sales tax, we need to calculate 8% of $216.
To do so, let's multiply 216 by 0.08:
\(\begin{gathered} tax=216\cdot0.08\\ \\ tax=17.28 \end{gathered}\)Therefore the amount collected is $17.28.
Andrew is downloading photos from his camera’s memory cards. He downloaded 2,145 megabytes (MB) from a total of 250 normal-quality photos and 100 best-quality photos from his smaller memory card. From the larger memory card, he downloaded 6,330 MB from a total of 500 normal-quality photos and 400 best-quality photos. The graph shows a system of equations representing the two downloads. How many MB is a photo of normal quality and how many MB is a photo of best quality?
Answer:
it is c
Step-by-step explanation:
lkhbkgbigligi;g;og
4.5m is __% of 90cm
Help pls I need it
\(\text {Answer:}\)
\(\huge\boxed{\sf 5}\)
\(\text {Step-by-step~explanation:}\)
\(\bold {4.5~ / ~90 \times 100}\)
\(\bold {(4.5 \times 100) ~/~90}\)
\(\bold {450~ /~ 90 }\)
\(\bold {= 5 }\)
write the equations of all the circles
The equation of a circle with center (a, b) and radius r is:
(x - a)^2 + (y - b)^2 = r^2
(x, y) represents any point on the circle
What is a circle?A circle is described as a shape consisting of all points in a plane that are at a given distance from a given point, the center.
The properties of the circle are as follows:
The circles are said to be congruent if they have equal radii.The diameter of a circle is the longest chord of a circle.Equal chords of a circle subtend equal angles at the centre.The radius drawn perpendicular to the chord bisects the chord.Learn more about properties of the circle at: https://brainly.com/question/4244936
#SPJ1
1 It takes 6 students 2 hours to stuff envelopes for Back to School Night. Determine
how many students would be needed to finish the job in a quarter of an hour.
Using proportions, it is found that 48 students would be needed to finish the job in a quarter of an hour.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
The rule of three for this problem is given as follows:
6 students - 2 hours
x students - 0.25 hours
The measures are inverse proportional, hence a line multiplication is applied, as follows:
0.25x = 12
1/4x = 12
x = 48.
48 students would be needed to finish the job in a quarter of an hour.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION!!!
Answer:
23
Step-by-step explanation:
34-29.99=4.01
4.01/17=23
pls give me brainliest
Answer:
It would be 23
Step-by-step explanation:
a floor plan is given for the first floor of a new house. one inch represents 10 feet. if the walk-in closet is 2/5. in. by 2/3 in. on the floor plan, what are the actual dimensions? (round to the nearest hundredth).
The actual dimensions of the walk-in closet are 4 feet × 6.67 feet.
Finding actual dimensions:To find actual dimensions multiply the given measurement with the measurement given in scale.
In the given problem, given that 1 in = 10 feet which is the scale given, we need to multiply the given measurements that are in the plan with the scale measurement 10 feet.
Here we have
A floor plan is given for the first floor of a new house.
One inch represents 10 feet.
The walk-in closet is 2/5 in. × 2/3 in. on the floor plan
As we know 1 inch = 10 feet
=> 2/5 in = (2/5) × 10 feet = 4 feet
=> 2/3 in = (2/3) × 10 feet = 6.67 feet
Therefore,
The actual dimensions of the walk-in closet are 4 feet × 6.67 feet.
Learn more about Actual dimensions at
https://brainly.com/question/4264220
#SPJ4
3x-10y=15
2x+3y=6
I can't get it can someone help me?
Answer: x= 105/29,y =-12/29
Step-by-step explanation: cause if you do it the graph way
Pls help me its due sooon
Answer:
nobody
Step-by-step explanation:
Given f(x) = -3x + 4, solve for x when f(x) = 1
(Will mark brainliest)
Answer:
x=1
Step-by-step explanation:
f(x) is a fancy way of saying Y. So whenever you see that, you can just say its y= something.
y=-3x+4
1=-3x+4
Move the -3x to the other side where the one is. By doing this, the 3x will become positive.
3x+1=4
Now just subract one from 4
3x=3
And divide 3 from both sides.
x=1
PLEASE ANSWER CORRECTLY
\(\boxed{\underline{\bf \: ANSWER}}\)
Adding -3 is equal to b. subtracting 3.
Take a look at the example (hint) they have given in the question.
\( \sf \: 5 + ( - 3) = 2 \\ \sf \: 5 \: \underline{- 3} \: = 2 \\ \sf2 = 2\)
We can see that, when we took + (-3) as - 3, the equation still worked. So, therefore -> Option B. is the correct answer.
_____
Hope it helps.
RainbowSalt2222
\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)
Okay, so first let's look at the hint they've provided. ⇨ 5 + (-3) = 2In this question, we need to find which operation fits with adding -3.Let's try to solve the example now.\( \sf \: 5 + ( - 3) = 2 \\ \sf 5 - 3 = 2 \\ \boxed{\bf \: 2 = 2}\)
From this example, it's clear that subtracting +3 is the same as adding -3. Hence, option B. subtracting 3 is the correct answer.Dora can plant 150 flowers in the same time it takes charlie to plant 120 flowers. Also Dora can plant 18 flowers more per day than charlie. How many flowers can Charlie plant per day?
Answer:
Number of flowers planted planted by Charlie per day = 72
Step-by-step explanation:
Given:
Dora can plant 150 flowers and Charlie plants 120 flowers in same time.
Dora can plant 18 flowers more per day than that of Charlie.
To find:
Flowers that can be planted by Charlie per day = ?
Solution:
Let the time taken by Dora to plant 150 flowers = T days
So, T will be the time taken by Charlie to plant 120 flowers.
Number of flowers planted by Dora per day = Total Number of flowers planted by Dora divided by number of days
Number of flowers planted by Dora per day = \(\frac{150}{T}\)
Similarly, Number of flowers planted by Charlie per day = Total Number of flowers planted by Charlie divided by number of days
Number of flowers planted by Charlie per day = \(\frac{120}{T}\)
As per condition given:
\(\dfrac{150}{T} = \dfrac{120}{T} +18\)
Solving the above equation by taking LCM:
\(\Rightarrow \dfrac{150}{T} = \dfrac{120 +18T}{T}\\\Rightarrow 150=120+18T\\\Rightarrow 18T = 30\\\Rightarrow T = \dfrac{30}{18}\\\Rightarrow T = \dfrac{5}{3}\ days\)
Number of flowers planted by Charlie per day = \(\frac{120}{T}\) = \(\frac{120\times 3}{5} = 72\)
So, answer is:
Number of flowers planted planted by Charlie per day = 72
1+1= (WILL GET BRAINLIST TO ANWSER FIRST)
Answer:
2
Step-by-step explanation:
one cookie plus one cookie is two cookies
PLEASE PLEASE PLEASE HELP!!
Two gyms open their memberships to the public. Compare the gyms by calculating and interpreting the average rates of change from Week 3 to Week 5. Round answers to the nearest whole number, where appropriate.
From Week 3 to Week 5, Gym A membership increases at a rate of 32 people per week, and Gym B membership increases at a rate of 34 people per week. So, Gym B is growing faster.
How to obtain the average rate of change?The average rate of change of a function is given by the change in the output of the function divided by the change in the input of the function. Hence we must identify the change in the output, the change in the input, and then divide then to obtain the average rate of change.
From Week 3 to Week 5, the change in the input is given as follows:
5 - 3 = 2.
From the table for Gym A and graph for Gym B, the change in the output for each gym is given as follows:
Gym A: 171 - 107 = 64 members.Gym B: 203 - 135 = 68 members.Hence the rates are given as follows:
Gym A: 64/2 = 32 members per week.Gym B: 68/2 = 34 members per week.More can be learned about the average rate of change of a function at brainly.com/question/11627203
#SPJ1
Find all zeros of the function \( f(x)=9 x^{3}+18 x^{2}-7 x-20 \). Enter the zeros separated by commas.
The zeros of the function f(x) = 9x³ + 18x² - 7x - 20 can be determined using the Rational Root Theorem and synthetic division. Here is the step by step solution:
Step 1: Write down all the possible factors of the constant term (-20) and the leading coefficient (9) of the polynomial function. The factors of 9 are {±1, ±3, ±9} and the factors of -20 are {±1, ±2, ±4, ±5, ±10, ±20}.
Step 2: Now, according to the Rational Root Theorem, if there is any rational zero of the function f(x), then it will be of the form p/q where p is a factor of the constant term and q is a factor of the leading coefficient.
Step 3: From the possible factors list in Step 1, check for the values of p/q that satisfy f(p/q) = 0. Use synthetic division to test these values and find out the zeros of the function.
Step 4: Repeat the above steps until all the zeros are obtained. Here is the solution using synthetic division:Possible rational zeros of f(x): {±1, ±2, ±4, ±5, ±10, ±20, ±1/3, ±2/3, ±4/3, ±5/3, ±10/3, ±20/3} Using p = 1, q = 3 as a test zero, we get the following results:
(3x + 5) is a factor of the polynomial 9x³ + 18x² - 7x - 20.Using synthetic division, we get:Now, 9x³ + 18x² - 7x - 20 = (3x + 5)(3x² + 9x - 4)Using the quadratic formula, we get:
The zeros of the function f(x) = 9x³ + 18x² - 7x - 20 are: -5/3, 1/3 and -4/3, and they are separated by commas.
To know about polynomial visit:
https://brainly.com/question/11536910
#SPJ11
Please help me i don't understand triangle congruency
Answer(s):
first page: asa
second page: hl
third page: sss
fourth page: aas
last page: sas
Answer:
the triangles on the first image are equal because
sol: let me name triangLes as abc and pqr
u can see that
angle a and p are same and angle b and q are equal and side BC and QR are same
so it is aas criteria
second as I see angle and p are same and sides ab and pq are equal and angle q and angle b are equal
so it is sas criteria
and third one is sss
fourth one is sas
fifth one is HL or you can say as RHS
Solve for x in the following diagram. Round your answer to nearest tenth.
Answer:
48.3
Step-by-step explanation:
→ See what side is not given
Opposite
→ Find a triangle with out an O in it
Cos = Adjacent / Hypotenuse
→ Make what you want to find the subject
Hypotenuse = Adjacent / Cos
→ Substitute the numbers into the formula
41 / cos (32) = 48.3
r1(t)=(2,1,8)+t⟨0,−2,1⟩
r2(t)=(6.5,0.5,10.5)+t⟨−3,3,−3⟩
Find the point of intersection, PP, of the lines r1r1 and r2r2.
P =
To find the point of intersection (P) of the lines r1 and r2. First, let's express the parametric equations of the lines as follows:r1(t) = (2, 1 - 2t, 8 + t)
r2(t) = (6.5 - 3t, 0.5 + 3t, 10.5 - 3t)
For these lines to intersect, the corresponding coordinates must be equal. Let's denote the parameter for r1 as t1 and for r2 as t2. This gives us the following system of equations:
1. 2 = 6.5 - 3t2
2. 1 - 2t1 = 0.5 + 3t2
3. 8 + t1 = 10.5 - 3t2
Solving equation 1 for t2, we get t2 = (6.5 - 2) / 3 = 1.5. Now, we can plug this value into equations 2 and 3:
1 - 2t1 = 0.5 + 3(1.5) => t1 = -2
8 + (-2) = 10.5 - 3(1.5) => t1 = -2
Since both equations result in t1 = -2, we have a consistent solution. Now, we can find the point of intersection P by plugging t1 and t2 into the parametric equations of r1 and r2:
P = r1(-2) = (2, 1 - 2(-2), 8 - 2) = (2, 5, 6)
Therefore, the point of intersection P is (2, 5, 6).
Learn more about point of intersection here:
https://brainly.com/question/14217061
#SPJ11
one key assumption of correlation analysis is that the variables have an essentially relationship. select one: a. linear b. non-linear c. curvilinear d. circular
One key assumption of correlation analysis is that the variables have a linear relationship. This means that the relationship between the two variables can be described by a straight line. In other words, as one variable increases, the other variable increases or decreases in a consistent manner.
When conducting correlation analysis, it is important to ensure that the relationship between the variables is indeed linear. This can be done by examining a scatterplot of the data, which allows you to visualize the relationship between the two variables. If the relationship appears to be curvilinear, non-linear, or circular, then a different type of analysis may be more appropriate.
Overall, the assumption of a linear relationship is important for ensuring the accuracy and validity of the correlation analysis. It allows for a clear and interpretable understanding of the relationship between the two variables and can inform further statistical analysis or decision-making.
Learn more about correlation here:
https://brainly.com/question/3158811
#SPJ11
A scuba diver is at a depth of -14 ft. Her
elevation changes -2 ft per second. How many
seconds will it take her to reach a depth of
79ft? Write and solve an equation.
On solving the provided question, we can say that - by the help of unitary method seconds will it take her to reach a depth of 79ft is = 39.5
What is unitary method ?The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.
here,
scuba diver is at a depth of = -14 ft
elevation changes = -2 ft per second.
seconds will it take her to reach a depth of 79ft is = 39.5
To know more about unitary method visit:
https://brainly.com/question/28276953
#SPJ1
The sum of two numbers is 84. The square of the first number is 6 more than the second number.
Write a system of equations to find the value of x, the first number, and y, the second number.
y = -x +
y = x² +
The system of equations to find the value of x, the first number, and y, the second number are;
y = -x + 84
y = x² + 6
System of equationThe system of equation are equations that contains more than two equation and unknown.
Let the two unknown numbers x and y
If the sum of two numbers is 84, hence;
x +y = 84
y = -x + 84
If the square of the first number is 6 more than the second number, hence;
x² = y + 6
Substitute equation 2 into 2 to have:
x² = y + 6
x² = (-x+84) + 6
x² = -x+84 + 6
x² +x+84 + 6 = 0
x² +x + 90 = 0
Hence the system of equations to find the value of x, the first number, and y, the second number are;
y = -x + 84
y = x² + 6
Learn more on system of equation here; https://brainly.com/question/12861087
#SPJ1
PLS HELP! THANKS! EXTRA P
Answer:
Step-by-step explanation:
I don't know how to help you by the way you're really pretty
one circle c1 of radius 2 is centered at the origin. on top of the circle a second circle, c2, is placed, with radius 1 and center (0, 4). find the center of gravity, ( x, y ) , of the combination of the two circles.
The center of gravity of the combination of the two circles is at (x, y) = (0, 4/5).
The center of gravity, or the center of mass, of a two-dimensional object can be found by taking the weighted average of the x-coordinates and y-coordinates of the individual masses making up the object.
In this case, the two circles can be treated as point masses, with the mass of each circle being proportional to its area. The area of a circle with radius r is given by pi * r^2.
So, for circle c1 with radius 2, its mass is given by:
m1 = pi * 2^2 = 4 * pi
And for circle c2 with radius 1, its mass is given by:
m2 = pi * 1^2 = pi
The x-coordinate of the center of gravity is given by the weighted average of the x-coordinates of the two masses:
x = (m1 * 0 + m2 * 0) / (m1 + m2) = 0
Similarly, the y-coordinate of the center of gravity is given by the weighted average of the y-coordinates of the two masses:
y = (m1 * 0 + m2 * 4) / (m1 + m2) = 4 * (m2 / (m1 + m2)) = 4 * (pi / (4 * pi + pi)) = 4 * (pi / 5 * pi) = 4/5
So, the center of gravity of the combination of the two circles is at (x, y) = (0, 4/5).
Learn more about circles here :
brainly.com/question/15482239
#SPJ4
For a certain type of hay fever, Medicine H has a 30% probability of working. In which distributions does the variable X have a binomial distribution?
Select EACH correct answer.
A. When the medicine is tried with two patients, X is the number of patients for whom the medicine worked.
B. When the medicine is tried with six patients, X is the number of patients for whom the medicine does not work.
C. When the medicine is tried with six patients, X is the number of patients for whom the medicine worked.
D. When the medicine is tried with two patients, X is the number of doses each patient needs to take.
The variable X has a binomial distribution in the following distributions:
A. When the medicine is tried with two patients, X is the number of patients for whom the medicine worked.
C. When the medicine is tried with six patients, X is the number of patients for whom the medicine worked.
What is binomial distribution?In a binomial probability distribution, the number of "Successes" in a series of n experiments is represented as either success/yes/true/one (probability p) or failure/no/false/zero (probability q = 1 p), depending on the outcome's boolean value.
In a binomial distribution, we have a fixed number of independent trials (in this case, the number of patients), and each trial has only two possible outcomes (success or failure). The probability of success remains the same for each trial (in this case, the probability of the medicine working is 30%).
Option B does not represent a binomial distribution since it counts the number of patients for whom the medicine does not work, which is the complement of success. Option D is not a binomial distribution as it counts the number of doses each patient needs to take, which is not a success/failure outcome.
So, the correct answers are:
A. When the medicine is tried with two patients, X is the number of patients for whom the medicine worked.
C. When the medicine is tried with six patients, X is the number of patients for whom the medicine worked.
Learn more about binomial distribution on:
https://brainly.com/question/29137961
#SPJ4
Bill wants to increase 150 by 3%
He writes down
150 x 1.3=195
Bill’s method is wrong.
Find the correct multiplier.
Answer:
1.03
Step-by-step explanation:
multiplying by 1.3 would increase the amount by 30%
true or false? about 60% of u.s. women older than 16 years are either currently employed or looking for work.
Answer: True
Step-by-step explanation:
Simple.
The variance of a sample or a population cannot be _____. a. zero b. calculated c. negative d. less than1
The variance of a sample or a population cannot be negative. This means that option c, negative, is the correct answer.
Variance is a statistical measure that quantifies the dispersion or spread of data points around the mean. It tells us how much the individual data points deviate from the average. The variance is always a non-negative value because it is calculated by summing the squared differences between each data point and the mean, divided by the total number of data points.
If the variance were negative, it would imply that the sum of the squared differences between each data point and the mean is less than zero. However, this is not possible because squared differences are always positive or zero.
On the other hand, options a, zero, and d, less than 1, are incorrect. The variance can be zero if all the data points in the sample or population are the same, indicating no dispersion. Additionally, the variance can be any positive value, including values less than 1.
To summarize, the variance of a sample or a population cannot be negative, making option c, negative, the correct answer.
Learn more about variance:
https://brainly.com/question/15707019
#SPJ11
in how many ways can eight different books be distributed to 12 children if no child more than one book
The number of ways to distribute the books is calculated using the concept of permutations, specifically the concept of selecting a subset without replacement. The answer is 199,584 possible ways.
In this scenario, we have 12 children and 8 different books. Since each child can receive at most one book, we can view this problem as selecting a subset of 8 books from the total set of 12 children.
To calculate the number of ways to distribute the books, we use the concept of permutations. Specifically, we use the formula for selecting a subset without replacement, denoted as nPr, where n is the total number of children and r is the number of books to be distributed.
Using this formula, we calculate 12P8, which is equivalent to 12!/(12-8)!. Simplifying this expression, we have 12!/4!. Evaluating the factorials, we find 12! = 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 and 4! = 4 × 3 × 2 × 1.
By dividing 12! by 4!, we obtain 199,584, which represents the number of ways to distribute the 8 different books to the 12 children, ensuring that each child receives at most one book.
In summary, there are 199,584 possible ways to distribute the eight different books among 12 children, with each child receiving at most one book. This is calculated using the concept of permutations, specifically the formula 12P8 = 12!/4!.
Learn more about permutations here:
https://brainly.com/question/29990226
#SPJ11
A business recently upgraded a conference TV they had in their conference room. Originally the TV was 32 inches (across the diagonal) and had a perimeter of 87.16 inches. The new TV is 66 inches across the diagonal. Since the new TV will be recessed in the wall, it will need trim put on the border. What is the perimeter of the new TV? Round your answer to two decimal places.
The perimeter of the new TV will be 179.77 inches.
How to calculate the perimeter?From the information, the TV was 32 inches (across the diagonal) and had a perimeter of 87.16 inches and the new TV is 66 inches across the diagonal.
It should be noted that the perimeter simply means the total length of the boundary of the object. This will be calculated thus:
= (66 × 87.16) / 32
= 5752.56 / 32
= 179.77 inches.
In conclusion, the perimeter is 179.77 inches.
Learn more about perimeter on:
brainly.com/question/19819849
#SPJ1
ILL GIVE YOU BRANNIEST Two linear functions are shown. Linear function J is represented by the equation y= 3/4x — 6 The table represents linear function K.
Which function has a larger x-intercept and what is its x-intercept?
A.
Linear function J has a larger x-intercept of –6.
B.
Linear function J has a larger x-intercept of 8.
C.
Linear function K has a larger x-intercept of 5.
D.
Linear function K has a larger x-intercept of 10.
Answer:
n/a
Step-by-step explanation:
could not locate the function J
Which is a true statement about the transformation?
A.) Triangle ABC was translated 8 units left and 3 units up.
B.) The pre-image is in quadrant II.
C.) The orientation of the figure was changed.
D.) The orientation of the vertices was changed
HELP ASAP
Answer: the answer is B
Step-by-step explanation:
Answer:b
Step-by-step explanation: