Answer:
x = 10
Step-by-step explanation:
The marked angles are called Alternate Interior Angles. They are equal to each other.
So, write an equation:
3x + 15 = 5x - 5
Subtract 3x
15 = 2x - 5
Add 5
20 = 2x
Divide by 2
10 = x
Evaluate the expression for p = 2.
4p =
Answer:
4p = 8
Step-by-step explanation:
2 × 4 = 8
4p = 8
A house on the market was valued at $423,000. After several years, the value increased by 8%. By how much did the house's value increase in dollars? What i
the current value of the house?
if we take the 423000 to be the 100%, how much is 8% off of it in bucks?
\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 423000&100\\ x&8 \end{array}\implies \cfrac{423000}{x}=\cfrac{100}{8}\implies \cfrac{423000}{x}=\cfrac{25}{2} \\\\\\ 846000=25x\implies \cfrac{846000}{25}=x\implies 33840=x\)
Answer(s):
The house value increase in dollars in 33,840.The current cost of the house is $456,840.Step-by-step explanation:
423,000 = 100%=> 4,230 = 100/100%=> 4,230 = 1%=> 4,230 x 108 = 108%=> 456,840 = 108%Hence, the current cost of the house is $456,840.
=> 456,840 - 423,000 = Increased cost.=> 33,840 = Increased costHence, the house value increase in dollars in 33,840.
Hoped this helped.
\(BrainiacUser1357\)
74 points plsss help meee!!!!!
Answer:
(b) x- intercept is -1/3; y-intercept is -3/2Step-by-step explanation:
Given function:
-9x - 2y = 3x- intercept is:
y = 0 ⇒ -9x = 3 ⇒ x = -1/3y-intercept is:
x = 0 ⇒ -2y = 3 ⇒ y = -3/2Correct answer choice is (b)
Answer:
B) X intercept = (-1/3,0) and Y Intercept = (0,-3/2)
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x .
To find the y-intercept, substitute in 0 for x and solve for y .
Which set of ordered pairs represents a function?
O (5,4), (4, 5), (1, 2), (1, 4)
O (2, 1), (3, 1), (5, 1), (5, 4)
O (2,5), (1, 6), (0,5), (1, 10)
None of the other answers are correct
O (0,0), (1, 1), (2, 0), (3, 3)
Answer:
The third one
What is the slope of the graph of z - 2y=8
To evaluate whether customers enjoy the barista’s new smoothie, a restaurant manager surveys every other customer who orders the new smoothie. The manager determines that customers enjoy the new smoothie. Select all the statements that are true about the sampling method.
The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.
Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:
1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.
2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.
3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.
4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.
5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.
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Two large containers A and B of the same size are filled with different fluids. The fluids in containers A and B are maintained at 0° C and 100° C, respectively. A small metal bar, whose initial temperature is 100° C, is lowered into container A. After 1 minute the temperature of the bar is 90° C. After 2 minutes (since being lowered into container A) the bar is removed and instantly transferred into the other container. After 1 minute in container B the temperature of the bar rises 10°. How long, measured from the start of the entire process, will it take the bar to reach 99.7° C? (Round your answer to two decimal places. Assume the final temperature being asked for is reached while the bar is container B.) t = min
Answer:
What I think, Is that it... It might be, It can take 3 seconds
60% expressed as a ration is StartFraction 60 Over 100 EndFraction. What is this as a fraction in its reduced form?
One-sixth
Three-fifths
StartFraction 6 Over 10 EndFraction
StartFraction 30 Over 50 EndFraction
Answer:
Step-by-step explanation:
Three-fifths or 3/5
(a) The perimeter of a rectangular field is 366m m.If the width is 86m, what is its length
(b) The area of a rectangular painting is 7200 cm^2. I’f the length of the painting is 96 cm, what is the width
Help please. Which polynomial represents the sum below? (20 points)
Answer:
b option ..............
NEED HELP A family traveling home after a reunion Records the time in hours and the distance they are from home in miles based on the scatter plot the family is miles from home after the first 3.5 hours
Answer:
200 miles
Step-by-step explanation:
I need answer asap thank you
The measure of ∠QTS = 58°
Given; A triangle QPR
PQ = PR
this means that ∠ Q = ∠ R
and QR = QT this means ∠ R = ∠ T
And ST ║ QR
and QT is the transversal
From the above mentioned information we can conclude that
∠QTS = ∠TQR -------------- 1
Thus since ∠ Q = ∠ R
by using angle sum property of triangle we can conclude that
∠ Q + ∠ R = 116 [ exterior angle sum property ]
2 ∠ Q = 116
∠ Q = 58°
this means ∠ TQR = 58°
And from 1 we know that this angle is equal to angle QTS
Thus ∠QTS = ∠TQR = 58°
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What are all possible values of x that satisfy the inequality x3−8≥1?
By answering the above question, we may state that Therefore, all possible values of x that satisfy the inequality \(x^3\) - 8 ≥ 1 are x ≥ 2.08.
What is inequality?A connection between two expressions or values that is not equal in mathematics is referred to as an inequality. Hence, inequity results from imbalance. In mathematics, an inequality establishes the connection between two non-equal numbers. Egality and inequality are not the same. Use the not equal symbol most frequently when two values are not equal (). Values of any size can be contrasted using a variety of inequalities. By changing the two sides until just the variables are left, many straightforward inequalities may be solved. Nonetheless, a variety of factors support inequality: Both sides' negative values are split or added. Exchange the left and the right.
\(x^3\) - 8 ≥ 1
\(x^3\) ≥ 9
Taking the cube root of both sides, we get:
x ≥ ∛9
Since ∛9 ≈ 2.08, the solution to the inequality is:
x ≥ 2.08
Therefore, all possible values of x that satisfy the inequality \(x^3\) - 8 ≥ 1 are x ≥ 2.08.
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Calculate the amount of leather needed to manufacture a basketball if it has a radius of 11.14 cm. I need ASAP please and thank uuu
Answer:
Step-by-step explanation:
A basketball is basically a sphere, so it suffices to calculate the surface are of the ball to determine the amount of required material. Given a sphere of radius r we have that the surface area is \(4\pi r^2\)
In this case, r = 11.14 cm. So the area is aproximately 1159.48 squared cm. (1159.48 = \(4\pi (11.14)^2\))
Peter Company, a produce distributer, always tries to sell its oldest produce first.
Peter company
Answer:
what is this a maths problem
It takes 20 days using 12 machines to produce a batch of pens.
due to a fault only 3 machines were used for the first 8 days, all 12 machines were used from day 9 onwards.
how many days in total to produce the batch of pens
It would take a total of 20 days to produce the batch of pens.
Let's calculate the work done by the 3 machines for the first 8 days:
Work done by 3 machines in 8 days = (3/12) * 8 = 2 days' worth of work
The remaining work that needs to be done by all 12 machines is:
Remaining work = 1 - (2/20) = 0.9
Now, we can use the work formula to find the total number of days needed to complete the remaining work with 12 machines:
Total work = 0.9
Work done by 12 machines in one day = 12/20 = 0.6
Total number of days needed = 0.9/0.6 = 1.5
Therefore, the total number of days needed to produce the batch of pens is:
8 (days with 3 machines) + 1.5 (days with 12 machines) = 9.5 days
However, we also need to add the 10.5 days it would take for all 12 machines to complete the batch from the beginning:
10.5 + 9.5 = 20 days
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Every 2 centimeters on a floor plan represents
meters of the house. The dining room is 8 cm by
10 cm on the floor plan, and the bedroom is 6cm by10cm on the floor plan. If installing tile costs $34
per square meter and installing carpet costs $21 per
square meter, how much would it cost to install tile
in the dining room and install carpet in the bedroom?
Show your work.
Given statement solution is :- It would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.
To find the cost of installing tile in the dining room and carpet in the bedroom, we need to calculate the areas of both rooms first.
Given:
Every 2 centimeters on the floor plan represents 1 meter of the house.
Dining Room:
On the floor plan, the dining room is 8 cm by 10 cm.
Converting this to meters, the dimensions of the dining room are 8 cm / 2 = 4 meters by 10 cm / 2 = 5 meters.
The area of the dining room is 4 meters * 5 meters = 20 square meters.
Bedroom:
On the floor plan, the bedroom is 6 cm by 10 cm.
Converting this to meters, the dimensions of the bedroom are 6 cm / 2 = 3 meters by 10 cm / 2 = 5 meters.
The area of the bedroom is 3 meters * 5 meters = 15 square meters.
Now, let's calculate the costs.
Cost of Tile:
The cost of installing tile is $34 per square meter.
The area of the dining room is 20 square meters.
Therefore, the cost of installing tile in the dining room is 20 square meters * $34/square meter = $680.
Cost of Carpet:
The cost of installing carpet is $21 per square meter.
The area of the bedroom is 15 square meters.
Therefore, the cost of installing carpet in the bedroom is 15 square meters * $21/square meter = $315.
Therefore, it would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.
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The Empirical Rule states that for bell-shaped distributions, about 68% of the values fall within 1 standard deviation of the mean. The heights of women at a large university are approximately bell-shaped, with a mean of 66 inches and standard deviation of 3 inches. Use this information to answer the questions. (a) What is the probability that a randomly selected woman from this university is 69 inches or taller
Answer: 0.16
Step-by-step explanation:
Let X be a random variable that represents the heights of women at a large university are approximately bell-shaped, with a mean of 66 inches and standard deviation of 3 inches.
According to the Empirical Rule, for bell-shaped distributions, about 68% of the values fall within 1 standard deviation of the mean.
About 68% woman have height between ( 66-3) inches and (66+3) inches.
i.e. About 68% woman have height between 63 inches and 69 inches.
The percentage of woman have height either less than 69 inches or greater than 69 inches =100% - 68%= 32% [both share equal area on curve.]
The percentage of woman have height is 69 inches or taller = 32%÷2
= 16%
Hence, the probability that a randomly selected woman from this university is 69 inches or taller =16%=0.16
Robert is baking a cake. He
needs 5 cups of milk, but notices that
his measuring device is only marked in
pints.
How many pints of milk will Robert
need?
Amy spent $6.00 for 2 gallons of gas. Bobby paid $15.00 for 6 gallons of gas. Carlos paid $32.00 for 8 gallons of gas. List the people in order of how much they paid for one gallon of gas, from the cheapest to the most expensive cost per gallon.
Answer:From cheapest to most expensive: Bobby, Amy, Carlos
-Hope this helped!
Step-by-step explanation:
Amy pays $3. 6/2=3
Bobby pays $2.50. 15/6=2.5
Carlos pays $4. 32/8=4
The formula to convert Fahrenheit to Celsius is C=5/9(F-32). Convert 30c to Fahrenheit. Round to the nearest degree
Answer:
86 degrees farenheit
Step-by-step explanation:
First, we plug 30 in for C.
Next, solve for F
Multiplying both sides by 9/5 gives us 54=F-32
Add 32 to both sides 86=F
How much is 2 tablets 3 x per day for 14 days
Answer:
84 tablets with 6 per day
Megan goes on walking holiday for five days.
The table shows how far she walked on the first four days.
Monday-14km,Tuesday-23km,Wednesday-13km,Thursday-13km
Megan says,'My average for the first four days is more than 15km.'
Explain why Megan is correct.
Friday is her last day.
She wants to increase her average to 17 km.
How many kilometres must she walk on Friday?
Answer:
a) Megan's total so far is 3 km more than necessary for an average of 15 km
b) 22 km
Step-by-step explanation:
a) The total of differences from 15 is ...
-1 + 8 + (-2) +(-2) = 3
Since this is more than 0, Megan's average is more than 15.
__
b) The total of differences from 17 is ...
-3 +6 -4 -4 = -5
To increase her average to 17 km, Megan must walk 17+5 = 22 km on Friday.
_____
Comment on the approach
In general, I find it easier mentally to deal with small numbers than with larger ones. So adding small differences can be easier than computing larger sums.
a) By computing the difference from the supposed average, we have effectively found the difference of the sum of values from the total necessary to give the required average. That is, Megan's average would be 15 if her total distance were 4·15 = 60. Her total distance is (4·15 +3) = 63, so her average is more than 15.
b) By finding out how much the total is below that necessary for the desired average, we determine the amount above that average the final number needs to be.
(14 -17) +(23 -17) +(13 -17) +(13 -17) +(Friday -17) = 0 . . . . the Friday value to make an average of 17
14 +23 +13 +13 +Friday = 5·17 . . . . . . . add 5·17
(14 +23 +13 +13 +Friday)/5 = 17 . . . . . . shows the Friday amount gives the required average
Friday = 17 -((14 -17) +(23 -17) +(13 -17) +(13 -17)) . . . . first equation rearranged to show how we computed Friday
Friday = 17 -(-5) = 17 +5 = 22
Find the measure of the angle to the nearest degree. Make sure to include your steps. PLEASE I NEED HELPPPP FASTT
a) sin A = 0.6018
b) cos B = 0.9205
c) tan C = 0.0349
Answer:
Sure, I can help with that! Here are the steps to solve each problem:
a) Since sin A = 0.6018, we can use the inverse sine function (sin^-1) to find the measure of angle A. Taking the inverse sine of 0.6018 gives us 37.19 degrees rounded to the nearest degree.
b) Since cos B = 0.9205, we can use the inverse cosine function (cos^-1) to find the measure of angle B. Taking the inverse cosine of 0.9205 gives us 23.06 degrees rounded to the nearest degree.
c) Since tan C = 0.0349, we can use the inverse tangent function (tan^-1) to find the measure of angle C. Taking the inverse tangent of 0.0349 gives us 2.00 degrees rounded to the nearest degree.
I hope that helps! Let me know if you need any further assistance.
Joe's age Is x years. Match the descriptions of the ages of Angela, Bruce, Callie, and Deshawn with the expressions in terms of Joe's age, x. +4 41+2 +3 40-3 Bruce's age is 4 years more than half Joe's age. Callie's age is 3 years less than 4 times Joe's age. Angela's age is 4 years more than twice Joe's age. Deshawn's age is 3 years more than half Joe's age.
Answer: I am pretty sure its what I said
Bruce: x/2 + 4
Angela: 4x + 2
Callie: 4x - 3
Deshawn: x/2 + 3
Let me know If I am correct thank you!
Answer:
Should be
Callie: 4x-3
Angela: 2x+4
Bruce: x/2 + 4
Deshawn: x/2 - 3
Step-by-step explanation:
Hopefully this helps sorry if it’s wrong
A young executive is going to purchase a vacation property for investment purposes. She needs to borrow $128,000.00 for 25 years at a 5.3% annual interest rate, with interest compounded monthly, and will make monthly payments of $770.82. (Round all answers to 2 decimal places.)
Create an amortization table to answer the following:
a) What is the unpaid balance after 9 months? $
b) Over the 9 months in part (a), how much total interest did she pay?
Answer:
(a) After 9 months, the unpaid balance is $125,874.09.
(b) Over the 9 months, she paid a total of $4,918.56 in interest.
To create the amortization table, we can use the formula for calculating the monthly payment of a loan:
P = (r * A) / (1 - (1 + r)^(-n))
where:
P = monthly payment
r = monthly interest rate
A = loan amount
n = total number of payments
In this case, we have:
A = $128,000.00
n = 25 years * 12 months/year = 300 months
r = 5.3% / 12 = 0.00441666667
Using the formula, we can calculate the monthly payment:
P = (0.00441666667 * $128,000.00) / (1 - (1 + 0.00441666667)^(-300))
P = $770.82
Now, we can create the amortization table:
What is the volume of the prism below?
A. 150 cubic units
B. 300 cubic units
C. 55 cubic units
D. 1,500 cubic units
Answer:
the answer is B.300.Don't forget to mark brainliest
Answer:
a
Step-by-step explanation:
Suppose you want to estimate the percentage of stat students who passed the departmental final exam. You take a sample of 50 stat students and grade their finals first to get an estimate Match the following: __ percentage of all stat students who passed the departmental final exam
___ 50 stat students ___ the percentage of 50 stat students who passed the departmental final exam
___ whether or not they passed the final
___ a stat student all stat students a. parameter b. population c. sample d. individual e. variable f. statistic
a. parameter - percentage of all stat students who passed the departmental final exam.
c. sample - 50 stat students
e. variable - whether or not they passed the final
d. individual - a stat student
f. statistic - the percentage of 50 stat students who passed the departmental final exam.
In statistics, a parameter refers to a numerical value that describes a characteristic of a population. A population is a group of individuals or objects that we are interested in studying.
A sample, on the other hand, is a subset of the population that we actually observe and collect data on. A variable is a characteristic of an individual or object that can take on different values. An individual is a single member of the population.
A statistic is a numerical value that is calculated from the data collected in a sample and is used to estimate the corresponding parameter for the population.
Understanding these terms is essential in statistical analysis, as it allows us to make inferences about populations based on information collected from samples.
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3. [Kangaroo Grey 2004 Q7] Maija has a rectangular
patio in her garden. She decides to make the patio
larger by increasing both its length and width by
10%. What is the percentage increase in the area
of the patio?
Answer:
21 % increase
Step-by-step explanation:
Lets imagine the sides of the rectangle are 100 & 200 cms.
The area would be 100 x 200 = 20000cm^2
If we added 10% onto each side, the sides would now be 110 & 220 cms.
The area would be 110 x 220 = 24200cm^2
We can now find percentage change:
\(\frac{24200-20000}{20000}\) = 21/100 = 21% increase.
The reason we can just pick random values of sides to do this question with is because we worked out percentage change, which will be the same no matter the proportion of the sides.
Hope this helped! Let me know if you have any questions :)
The side of a triangle are in the ratio 4:4:3 what kind of triangle is it (b) calculate the smallest angle of the triangle to the nearest degree
The smallest angle of the equilateral triangle is 60 degrees
If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.
To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.
For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:
Smallest angle \(= \frac{180}{3} = 60\)\) degrees.
Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).
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