1. Camilla won $150 in a drawing contest. She spent 5/8 art supplies. How much money does she have left?
A $56.25
B $68.75
C $93.75
D $131.25

2. Kelly paid a one-time membership fee of $56.80 when joining a gym, and since then she has been paying $22.70 per month. So far she has paid the gym $374.60. For how many months has Kelly been a member of the gym?

3. The 20 students in Ms. Wilson's art class made a project with construction paper. Nine students used red construction paper, 5 students used green construction paper, and the rest of the students used blue construction paper. If Ms. Wilson chooses one project at random, what is the probability that it Will be blue?

4. The battery on Sarah's old cömputer can last for 3 3/4 hours. She bought a new computer that has a battery that can last 20% longer. How long can the battery on Sarah's new computer last?

5.Kendra needs to buy a window shade to cover a window in her living room. She measured the width of the window shade as 68 inches. The actual measurement is 72 inches. What is Kendra's percent error? Round your answer to the nearest tenth.

6. Kyle bought a sofa for d dollars and paid an 8% sales tax. Write two different expressions that represent the total number of dollars, including tax, that Kyle spent, and show or explain why the expressions are equivalent.

7. Michael and Nadia are on their school(s swim team. They each swam 5 laps and recorded their lap times in seconds.
Michael's Lap Times (seconds) 42, 43, 45, 4.7, 48
Nadia's Lap Times (seconds) 36, 37, 46, 50, 51
Who has the greater mean absolute deviation, and by how much? Show or explain how you know.

Answers

Answer 1

Answer:

#1

150*(1 - 5/8) = 150(3/8) = 56.25Option A

#2

56.80 + 22.70x = 374.6022.7x = 374.60 - 56.8022.7x = 317.8x = 317.8/22.7x = 14 months

#3

Blue = 20 - (9 + 5) = 6p(blue) = 6/20 = 0.3 or 30%

#4

3 3/4 + 20% of 3 3/4 =3 3/4*1.2 = 15/4 * 12/10 =9/2 = 4.5 hr

#5

Actual value = 72 in, expected value = 68 in

Error = 72 - 68 = 4 inPercent error = error/ expected value * 100% = 4/68*100% = 5.9% (rounded)

#6

d  + 8% = d + 0.08d = 1.08dd*1.08 = 1.08d

#7

Michael

Data = 42, 43, 45, 4.7, 48Mean = (42+ 43+ 45+ 47+ 48) / 5 = 45Absolute deviation = (|42 - 45| + |43 - 45| + |45 - 45| + |47 -45| + |48 - 45|)/5 = 2

Nadia

Data = 36, 37, 46, 50, 51Mean = (36+ 37+ 46+ 50+ 51)/5 = 44Absolute  deviation = (|36 - 44| + |37 - 44| + |46 - 44|+ |50 -44| + |51 - 44|)/5= 6

Nadia had greater mean absolute deviation: 6 - 2 = 4 (seconds)


Related Questions

How much interest does a $407 investment earn at 6% over seven years?

Answers

Answer:

$204.98

Step-by-step explanation:

407(1+0.06)^7

611.98

611.98-407

204.98

So it made $204.98

Hope this helps

If x=6 and y=−2, evaluate the following expression:2xy​

Answers

Step-by-step explanation:

[tex]2(6)( - 2) = \\ = 2( - 12) = \\ = - 24[/tex]

substitute 6 for x and -2 for y.
2(6) (-2)
6 • -2 = -12
2•-12=
24

Anna likes to skate at a candy store that is due south of her school and due west of her favorite skate park. If the candy store is 8 miles from her school and the straight-line distance between the school and the skate park is 10 miles, how far is the candy store from the skate park?

Answers

Answer:

6 miles

Step-by-step explanation:

Given that the candy store that is due south of her school and due west of her favorite skate park, the distance between the the school and the skate park when considered with the distance between the candy store and her school and that between the candy store and her favorite skate park gives us a right angled triangle.

The distance between the school and the skate park is the longest side (hypotenuse of the triangle so formed). As such, using Pythagoras theorem

10^2 = 8^2 + x^2 where x is the distance between the Candy store and the skate park

100 = 64 + x^2

100 - 64 = x^2

36 = x^2

6^2 = x^2

x = 6

The distance between the  candy store and the skate park is 6 miles

Please explain how to solve this and the answer

Answers

Looking at the letter arrangement in the problem B is similar to W

Set those equal to each other and solve.

X + 24 = 2x -2

Subtract x from both sides:

24 = x -2

Add 2 to both sides:

X = 26

Now replace x in the equation for B

2x -2 = 2(26)-2 = 52-2 = 50

B = 50 degrees

The 3rd choice is the answer.

FIND THE AREA OF THE COMPOUND SHAPE

Answers

Answer: 488cm^2

Step-by-step explanation:

The area of the triangle is 12*19/2= 114cm

The area of the rectangle is 17*22=374

114+374= 488cm^2 is the area

Jack has $37 and saves $6.50 per week. Diane has $9 and saves $8.25 per week. Define a variable, then write and solve an equation to find out how many weeks it would take for Jake and Diane to have saved the same amout of money.

Answers

Answer:

Defining variable: x = per week

Equation: 37 + 6.5x = 9 + 8.25x

Answer: 16 weeks

Step-by-step explanation:

x = per week

Jack:

37 + 6.5x

Diane:

9 + 8.25x

Equation:

37 + 6.5x = 9 + 8.25x

-1.75x = -28

x = 16

What is BBC???????????

Answers

Answer:

BBC News is a British free-to-air television news channel ;)

Step-by-step explanation:

It was launched as BBC News 24 on 9 November 1997 at 5:30 pm as part of the BBC's foray into digital domestic television channels, becoming the first competitor to Sky News, which had been running since 1989.

Hometown Gym charges a $200 membership fee and $45 per month. Local Gym charges a $50 membership fee and $55 per month. Write an equation to represent the situation. After how many months will the total amount of money paid to both gyms be the same?

Answers

Answer:

=> membership fee = $50

=> monthly fee = $55

=> First month = 105$

=> 50 + 55(x)

=> 50 + 55 (15)

=> 50 + 825

=> 875

Workout gym

=> membership fee = $200

=> monthly fee = $45

=> First month = 245$

=> 200 + 45(x)

=> 200 + 45(15)

=> 200 + 675

=> 875

plz help me whoever first answers get brainliest

Answers

Point g. ...........

Answer:

J

Step-by-step explanation:

What is 13^2 ? Help me !

Answers

Answer:

13^2 is 169

Step-by-step explanation:

Answer:

169

Step-by-step explanation:

13^2 is 13x13= 169

Hope this helps :)

(PS I included an explanation on exponents)

when you have an exponent you multiply the base number by itself as many times as the exponent says.

Example: 13^5

13 x 13 x 13 x 13 x 13= 371,293

I'm d u m b so I can't figure this out lol

Answers

Answer: 6

Steps:
IQR = Q3 - Q1
7 - 1 = 6
im pretty sure the answer is 6?

Fine the missing length indicated.

Answers

Answer:

144

Step-by-step explanation:

the height is sqrt(65^2-25^2) = 60

the length of the unknow side of the largest triangle is sqrt((25+x)^2-65^2)

or also sqrt(x^2+60^2)

set them to equal

sqrt((25+x)^2-65^2) = sqrt(x^2+60^2)

==> x = 144

Answer:

The answer would be x=144

helllkkklppppppp plzzzzzzzzz

Answers

Answer:

4. 28 sq. inch

Step-by-step explanation:

First, Area of the square = l² = 2² = 4

Area of the triangle = 1/2 x b x h

= 1/2 x 2 x 6

= 6

Total surface area = Area of square + 4 x area of triangle

= 4 + 4 x 6

= 28

The new location for a park needs to be exactly 5 miles from the school. When plotted on the coordinate plane, the school is located at (3, 3). Use the Pythagorean theorem to determine two possible locations on the coordinate plane for the park. (–3, –3) (–1, 0) (0, 0) (6, –1) (6, 6)

Answers

Answer:

the answer is --1, 0 and 6, -1

Step-by-step explanation:

your welcome :) have a good day!

Answer:

B and D

Step-by-step explanation:

I took the test edg 2022 ur welcome

Please help me!! Thank you:)

Answers

Answer:

it should be C 444ft^2

Step-by-step explanation:

20*24=480

6*6=36

480-36=444

Find the y intercept and the slope

Answers

Answer:

The slope is -1/2 and the y intercept is 1

Step-by-step explanation:

1. Could you use an inscribed prism to derive the volume of a hemisphere? Why or why not? Are there any other ways you could approximate a hemisphere, and what problems would you encounter in finding its volume?
2.Could you use a circumscribed regular n-gon as the base of a pyramid to derive the formula for the volume of a cone? Explain.

Answers

We can always get the volume of the figure whenever we get enough data to recreate that considered figure, because it provides us with necessary measurements needed for finding the volume.

When can we find the volume of a considered figure?

For finding volume of the considered figure, we somehow needs measurement of its correct dimensions by which we would be able to recreate the figure. By any means, if we could get enough measurement, then we'd be able to characterize the figure, and thus, get its volume.

Case 1. Could you use an inscribed prism to derive the volume of a hemisphere? Why or why not? Are there any other ways you could approximate a hemisphere, and what problems would you encounter in finding its volume?

Yes, if the prism fits perfectly, and we know about the prism, then it would tell us about the radius of the hemisphere. For example, we can fit a cubic prism inside it, and diagonal of that cube's base will give diameter of that hemisphere.

Case 2.Could you use a circumscribed regular n-gon as the base of a pyramid to derive the formula for the volume of a cone?

Yes, because the the base of the pyramid can give the details about radius of the cone's base, and due to the n-gon being regular and circumscribed, the height of the cone would be same as that of the height of that n-gon.

Thus, we can always get the volume of the figure whenever we get enough data to recreate that considered figure, because it provides us with necessary measurements needed for finding the volume.

Learn more about volume here:

https://brainly.com/question/2952465

find the value of 9w - 10 given that -5w-8=7.
simplify your answer as much as possible.

Answers

Answer:

w= -3, therefore the value of 9w-10= -37

Step-by-step explanation:

i hope this helps :)

Can someone help me i will give extra points

Answers

For the top part, both equations are vertical angles, so both equations will equal the same angle.

(4 + 23x) = (24x)

4 + 23x = 24x

4 = 24x - 23x

4 = x

Plug in x = 4 into both equations.

4 + 23(4) = 24(4)

4 + 92 = 96

96 = 96

Since x = 4 is a solution for both equations, the angle that is equal to both is 96 degrees.  

Answer: 96 degrees is the angle

--------------------------------------------------------------------------------------------------------------

For the bottom part, both equations lie on the same straight line, so adding both equations together will equal 180 degrees.

(x + 120) + (x + 80) = 180

x + 120 + x + 80 = 180

2x + 200 = 180

2x = 180 - 200

2x = -20 (don't worry about having a negative solution)

x = -10

Plug in x = -10 into both equations.

(-10) + 120 + (-10) + 80 = 180

110 + 70 = 180

180 = 180

Since x = -10 is a solution for both equations, the angle for equation (x + 120) is 110 degrees and angle for equation (x + 80) is 70 degrees.

Answer: Since the question asked to find a measure of the angle indicated in bold, the angle measure is 70 degrees.

Need help getting stuck on this problem

Answers

Answer:

Variable x in first equation

Step-by-step explanation:

Given system

x = 5y - 1x + 2y = 13

Variables in this system are x and y.

Isolating a variable means rearranging the equation so that a variable of our interest is on its own in one side of the equal sign.

We see variable x is isolated in the first equation.

In the second equation both of the variables are on the same side so they are not isolated.

Answer:

x

Step-by-step explanation:

x=5y-1--(1)

The x variable is isolated here as it's solo on left side

Solve the equations

x+2y=13x=-2y+13--(2)

Equate

5y-1=-2y+137y=14y=2

x=10-1=9

Please help ASAP! Will mark brainliest if correct :)

Answers

Answer:

x is equal to 12 mm

what is the area of the following shape​

Answers

Answer:

23

Step-by-step explanation:

if you break this shape into 2 shapes it will be easier to solve

a pair of jeans is normally priced at $56, but is currently marked down for with a 35% discount. What is the final cost of the pair of jeans?

Answers

Answer:

36.4

Step-by-step explanation:

56x.35=19.6

56-19.6=36.4

Type the expression that results from the following series of steps:
Start with n, add 5, multiply by 4, then subtract 7.​

Answers

Answer:

n+5×4-7

Step-by-step explanation:

Write the equation of a line that is parallel to y = -2/3 x + 1 and passes through the point (-6,-1).​

Answers

Take x of 35 dude and match it up with the external answer

These problems are so confusinggggggg

Answers

Answer:

C (both)

step by step explanation:

Answer:

C. Both (1, 11) and (-1, -5)

Step-by-step explanation:

y = 8x + 3

Substitute the values of (x, y)

(1, 11)

11 = 8*1 + 311 = 11yes

(-1, -5)

-5 = 8(-1) + 3-5 = -8 + 3-5 = -5 yes

Both pairs are solutions

Correct choice is C

What force is required to lift a 50-N load with this pulley system

Answers

Answer:

The minimum force required would be 50-N!

Timberly spent 3 4/5 hours in Misty spent 2 1/10 hours at gymnastics practice over the weekend. How many more hours did Timberly spend than Misty at the gymnastics practice?

Answers

Answer:

Step-by-step explanation:

The common denominator of these 2 fractions is 10.

Turn the mixed number 3 4/5 into an improper fraction which would be

19/5.

Then multiply the numerator and denominator with 2 to get the denominator to be 10.

19/5 x 2 = 38/10

Now turn 2 1/10 into an improper fraction= 21/10

Now subtract...

38/10 - 21/10 = 17/10

So Timberly spent 17/10  or  1 7/10 more hours then Misty at the gymnastics practice

One way to compute a 15% discount is to multiply the price by 0.15. The price of a pair of shoes is $142.20. How do i Calculate the discount?

Answers

$142.20 x .15% = 21.33

$142.20 - 21.33 = $119.87

Mr. and Mrs. Doran have a genetic history such that the probability that a child being born to them with a certain trait is 42%. If they have five children, what is the probability that at least two of their five children will have that trait? Round your answer to the nearest thousandth.
ANSWER IS 0.697

Answers

Answer:

answer is 0.697 !

Step-by-step explanation:

Other Questions
Can someone help me with this ASAP please Im being timed Why is foreign aid given?O A. In order to grow the global economyO B. In order to protect domestic industriesO C. In order to stimulate foreign investmentO D. In order to help needy countriesSUBN PLEASE HELP SOON!Simplify the inequalities and match them with the graphs that represent them.(look at the screen shot) PLEASE HELP ME I NEED THIS QUICKLY, ILL GIVE BRAINLIEST JUST PLEASE!Find the surface area Only eukaryotic cells are capable of photosynthesis, because photosynthesis requires chloroplasts.truefalse For ABC, let c = 600 ft, m angle B = 50 and then m angle A =30 Then a= ft. Round to nearest whole number. Hi can you please help Ive been stuck on this question PLEASE HELP ME CORRECT MY SPANISH THANKS The developments referenced by the image most directly contributed to United States involvement in HELPPPPP FAST PLEASEEEEEEEEEEEE adam completed 17 math worksheets last week and 13 math worksheets this week. if each workshet had 15 problems on it, hoow many problems did he do altogether in these two weeks? Waste water from nuclear power plants is generally ? The Senates approval of a treaty is an example of which constitutional principle? Checks and balances Separation of powers Popular sovereignty Consent of the governed explain X a.18. During the post-Civil War period between 1870 and 1895, United States farmers borrowed more moneyfrom banks becausegovernment regulations required farmers to pay additional fees.b. grain prices fell drastically.Unit 2, Q18, 49C. imported grain was being sold more cheaply than US-produced grain.d. farmers had to produce more grain to make money. The hypotenuse of a 30 -60 -90 triangle is 13cm. What is the length of the shorter leg? PLEASE HELP THIS IS AN EMERGENCY!! Given f(x) = 3x2 - 6x + k, and theremainder when f (x) is divided by X 1is 1, then what is the value of k? PLEASE HELP!!!Ive been working on this equation for 2 days now and cant get the right answer I think this is the right way to do it but Im not sure Solve for Y in the equation (5y-29) + (3y+19) = 180 Everytime I want an answer to important homeworks people answer with a link( virus) What should I do in that case?! I need help not a virus!... Read the list. Then answer the question that follows.1. Brazil2. Canada3. CubaWhich of the listed countries are BEST characterized as mixed economies? 1 and 2B 2 onlyC2 and 3D3 only use the graph below to write the equation of the function