Colton is planning on building a new shed for his backyard. The plans for the shed are shown with all the measurements. The shed is a right prism.
• How much can Colton store inside the new shed? Explain your reasoning.
• Colton wants to paint the outside of the shed including the shed door to match his house.
Explain how much paint Colton will need to paint the shed.
• A gallon of paint covers 200 square feet and costs $16.99. How much will it cost Colton to
paint the shed?
Your work should include:
• An explanation using math terms of how you could determine how much Colton can store
inside his shed (3 points)
• An explanation using math terms of how much paint Colton will need to paint the shed
(3 points)
• Your calculations (3 points)
• Statement explaining how much it will cost to paint the shed (3 points)
5 ft
4 ft
8 ft
6 ft 12 ft

Answer:

5 pizzas

Step-by-step explanation:

So first you subtract 18 so that you know that there is at least one cake.

84 - 18 = 66

When you get 66 dollars remaining, you divide it by 12 to see how many you can afford.

66/12 = 5.5

So because you can’t say you have an additonal amount of money, you would actually round down to 5.

So Matt can buy a total of 5 pizzas and 1 cake.

Answer:

5

Step-by-step explanation:

To find the number of pizzas Matt can buy while still being able to afford a cake set up an inequality. The inequality should look like [tex]84\geq 12x+18[/tex]  where x is the number of pizzas Matt bought. Then, solve the inequality by first subtracting 18 from both sides, [tex]66\geq 12x[/tex]. Next, divide both sides by 12, [tex]5.5\geq x[/tex]. This means that Matt can buy 5 pizzas. At first, it might seem like you should round up; however, if you rounded up at all then Matt could not afford the cake, so you must round down.

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Answer:

1/24

Step-by-step explanation:

SHAWTYYY THIRSTY

Answer:

21/24-20/24=1/24

Step-by-step explanation:

Make the denominators same by multiplying the fraction with a number that will make the denominators equal i.e 3 for first fraction and 4 for the second fraction.

Answer:

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

A(x) = x * (x + 3)

      = x^2 + 3x

A(4) = 4^2 + 3(4)

       = 16 + 12

       = 28

Answer:

a(4)=4^2+3(4)

a(4)=16+12

a(4) =28 ft ^2

Answer:

x = 1

y = 9

Step-by-step explanation:

The diagonals of the parallelogram bisect each other. Therefore:

✔️2x + 13 = 15

2x + 13 - 13 = 15 - 13

2x = 2

2x/2 = 2/2

x = 1

✔️5y - 36 = y

5y - 36 - 5y = y - 5y

-36 = -4y

-36/-4 = -4y/-4

9 = y

y = 9

Answer:

5 times the cube of x divided by 4 times x answer is the first one from the left 5x³-4/x. the quotient of the difference of 5 times x cubed and 4 and x the answers is 5x³-4x/ the third one from the right. the cube of the difference of 5 times x and 4 the answer is the middle one

Answer:

(6,0) and (0,-8)

Step-by-step explanation:

Substitute a zero for each variable

So 4(0) - 3y = 24 to find the y-int so -3y = 24, y = -8, so y-int is (0,-8)

to find x-int y = 0 so 4x - 3(0) =24   so 4x = 24, so x = 6 so x-int is (6,0)

Answer:

37

Step-by-step explanation:

Here the 2 angles are the same. So

74 = 2x

74/2 = x

x = 37

Answer ;

( refer the attachment for the division )

hence , x = 53

hope my answer helps you !!

Answer:

Radius= 5.4

Step-by-step explanation:

Formula for Sphere- V= 4/3(pi)• r^3

r=(3 V/4 pi) = (3•660/4•pi)= 5.40114 (5.4)

Answer:

The minimum weight resistance possible for a 240-pound man is 19.2 pounds.

Step-by-step explanation:

Since the U Gym provides weight resistance through adjustments of incline, and the minimum weight resistance is 8% of the weight of the person using the U Gym, to find the minimum weight resistance possible for a 240-pound man the following calculation:

240 x 8/100 = X

1,920 / 100 = X

19.2 = X

Thus, the minimum weight resistance possible for a 240-pound man is 19.2 pounds.

Answer:

the correct ordering to the number line it is from left to the right

Answer:

Interesting statement

Answer:

and then Jeff says "my name a Jeff"

Answer:

c 111 mark me

Step-by-step explanation:

and ur welcome lol

Answer:

105

Step-by-step explanation:

if it true i add 65 +40 =105 so yeah

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 6/-5

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

7 inches

Step-by-step explanation:

Now the area of a rectangle equals to length by width or in this scenario, height by base.

Therefore, we take a look at what we already have.

We got 5 inches for height and 35 squared inches as the area.

h= 5 inches a=35squared inches b=?

*Therefore, 5 x b =35

Through substitution this becomes:

*35/5= b

*Therefore b=7 inches

Answer:

191.0

Step-by-step explanation:

Answer:

The median of the numbers is 3.66 less than the mean

Step-by-step explanation:

To find the median, find the middle of the numbers

0.6, 0.7, 0.85, 1.5, 5.4

To find the mean, add all the numbers and divide by the number of numbers

0.6 + 0.7 + 0.85 + 15 + 5.4 = 22.55

22.55/5 = 4.51

To find how less, subtract the median from the mean

4.51 - 0.85 = 3.66

Answer:

Add one to both sides

Multiply both sides by 4

Take the square root of both sides

subtract 5 from both sides

Step-by-step explanation:

The probability that a restaurant customer approves of the food given that they already approved of the service is 0.8, or 80%.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Let's use Bayes' theorem to solve this problem.

= P(approves of food | approves of service)

By Bayes' theorem, we can express this probability in terms of the probabilities of approving of the service and the food separately:

P(approves of food | approves of service) = P(approves of service and food) / P(approves of service)

We know that the overall customer approval rating for the service is 75%, so:

P(approves of service) = 0.75

We also know that the customer approval rating for both the service and the food is 60%, so:

P(approves of service and food) = 0.60

Substituting these values into the formula, we get:

P(approves of food | approves of service) = 0.60 / 0.75

P(approves of food | approves of service) = 0.8

Therefore, the probability that a restaurant customer approves of the food given that they already approved of the service is 0.8, or 80%.

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Answer:

B) 6/5 or 1 1/5

Step-by-step explanation:

5/9 ÷ 5/3 × 18/5 = 5/9 × 3/5 × 18/5 = 6/5

21 pieces of ribbon

Step-by-step explanation:

6.3/0.3= 21

Answer:

63 kilometers per hour for train A and 83 kilometers for train B

Step-by-step explanation:

Same beginning

but train B 20 kilometers per hour faster

15 minutes from 20 kilometers per hours are 5 kilometers

So, train B is 45 kilometers travel more far than train B.

= 360 kilometers - 45 kilometers

= 315 kilometers ÷ 5 hours

= 63 kilometers per hours

Hope it's right><

Answer:

1. 85 in squared

Work: b=17 h=10

17*1/2=8.5

8.5*10=85

2. 142.5 mm squared

Work:b=15 h=19

15*1/2=7.5

7.5*19=142.5

3. 110.5 mm squared

Work:b=17 h=13

17*1/2=8.5

8.5*13=110.5

4. 9km squared

Work:b=2 h=9

2*1/2=1

1*9=9

5. 924 mm squared

Work:b=77 h=24

77*1/2=33.5

33.5*24=924

6. 104.5 m squared

Work: b=19 h=11

19*1/2=9.5

9.5*11=104.5

Step-by-step explanation:

Answer:

1. 10x17=170

170/2=85in

2. 19x15=285

285/2=142.5mm

3. 13x17=221

221/2=110.5mm

4. 9x2=18

18/2= 9km

5. 24x77=1,848

1,848/2=924mm

6. 11x19=209

209/2=104.5m

Answer:

16

Step-by-step explanation:

3x+3+3x+3+5x+7+4x-1+4x-1=106

19x+11=106

19x=95

x=5

JL=5(5)+7=32

ST=1/2 of JL = 1/2 of 32 = 16

The length of midsegment ST will be 6. The perimeter of the triangle is given.

It's the sum of length of the sides used to make the given figure.

The perimeter of AJKL is 106;

⇒KS+SJ+JL+LT+TK=106

⇒3x+3+3x+3+5x+7+4x-1+4x-1=106

⇒19x+11=106

⇒19x=95

⇒x=5

The side JL is obtained by,x=5

JL=5x+7

JL=5×(5)+7

JL=32

The side ST is obtained

ST=(1/2)×JL

ST= 1/2 of 32

ST = 16

Hence, the length of midsegment ST will be 16.

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Answer:

See explanation

Step-by-step explanation:

Recall that

Amount = Principal + Interest

The formula is;

A = P(1 + r)^n

Where;

P= principal, n = time and r = rate

Hence;

P + I =  P(1 + r)^n

P + 193.03 = P(1.021)^2

P + 193.03 = 1.04P

P - 1.04P = -  193.03

-0.04 P =  -  193.03

P = 193.03/0.04

P = $ 4825.75

B) When A = $6000, n=?

From;

A=   P(1 + r)^n

6000 = 4825.75 (1.021)^n

6000/4825.75 = (1.021)^n

1.24 =  (1.021)^n

Taking logarithm of both sides;

log 1.24 = n log 1.021

n = log 1.24/log 1.021

n = 0.0934/0.009

n = 10 years

Answer: Method B is an experiment because it randomly assigns volunteers a sunscreen, while method A is an observational study.

Step-by-step explanation:

Based on the information given, we can infer that method A is an observational study. An observational study simply refers to the study whereby the researchers just observe the impact of a rise factor without them trying to change the people or things exposed to it. This can be seen as the survey adults visited the beach on the busy weekend asking each adult the brand of sunscreen that they use and then assess their arms for sun exposure.

Method B is an experiment. An experiment refers to a test that's carried out in order to evaluate a particular hypothesis or theory. Method B is an experiment because it randomly assigns volunteers a sunscreen.

Therefore, the correct option is D.

The measure of angle A is 86.

A kite is a flying object that is tethered to the ground by a string or a cord. It typically has a light framework of bamboo, plastic, or other materials, covered with paper or fabric, and often in the shape of a diamond or triangle.

We have,

From the figure,

We see that,

6x + 4 + ∠A = 180

Now,

∠A = 4x + 26

So,

6x + 4 + 4x + 26 = 180

10x + 30 = 180

10x = 180 - 30

10x = 150

x = 15

Now,

∠A = 4x + 26 = 4 x 15 + 26 = 60 + 26 = 86

Thus,

The measure of angle A is 86.

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The complete question:

Levi was designing a kite. he needs to determine the measure of angle A.