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liraira [26]
3 years ago
6

Kristin bought eight boxes.A week later half of all her boxes were destroyed in a fire.There are now only 17 boxes left.With how

many did she start
Mathematics
1 answer:
Dmitriy789 [7]3 years ago
7 0

Answer:

She started with 26 boxes.

Step-by-step explanation:

She started with x boxes. Then she bought 8 more boxes. Now she had x + 8 boxes. Then half the boxes were destroyed, so she has the other half of the boxes. Half of the boxes is (x + 8)/2. She has now 17 boxes, so (x + 8)/2 = 17.

(x + 8)/2 = 17

Multiply both sides by 2.

x + 8 = 34

Subtract 8 from both sides.

x = 26

She started with 26 boxes.

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A box of cereal states that there are 78 calories in a three fourths ​cup serving. What is the unit rate for calories per​ cup?
ladessa [460]

Answer:

See below.

Step-by-step explanation:

Unit rate = 78 / 3/4

= 78 * 4/3

= 26*4    (because 78 / 3 = 26)

= 104 calories per cup

There are 2 * 104 = 208 calories in 2 cuos of cereal..

4 0
3 years ago
Read 2 more answers
The SAT scores have an average of 1200 with a standard deviation of 60. A sample of 36 scores is selected. a) What is the probab
erastova [34]

Answer:

the probability that the sample mean will be larger than 1224 is  0.0082

Step-by-step explanation:

Given that:

The SAT scores have an average of 1200

with a  standard deviation of 60

also; a sample of 36 scores is selected

The objective is to determine  the probability that the sample mean will be larger than 1224

Assuming X to be the random variable that represents the SAT score of each student.

This implies that  ;

S \sim N ( 1200,60)

the probability that the sample mean will be larger than 1224 will now be:

P(\overline X > 1224) = P(\dfrac{\overline X - \mu }{\dfrac{\sigma}{\sqrt{n}} }> \dfrac{}{}\dfrac{1224- \mu }{\dfrac{\sigma}{\sqrt{n}} })

P(\overline X > 1224) = P(Z > \dfrac{1224- 1200 }{\dfrac{60}{\sqrt{36}} })

P(\overline X > 1224) = P(Z > \dfrac{24 }{\dfrac{60}{6} })

P(\overline X > 1224) = P(Z > \dfrac{24 }{10} })

P(\overline X > 1224) = P(Z > 2.4 })

P(\overline X > 1224) =1 -  P(Z \leq 2.4 })

From Excel Table ; Using the formula (=NORMDIST(2.4))

P(\overline X > 1224) = 1 -  0.9918

P(\overline X > 1224) = 0.0082

Hence;  the probability that the sample mean will be larger than 1224 is  0.0082

4 0
3 years ago
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VashaNatasha [74]

Answer:

d. 21.5

Step-by-step explanation:

To find the missing side length of each triangle, use the pythagorean theorem. The theorem is a^2 + b^2 = c^2 where a, b, and c are all side lengths of the triangle. a is the smallest lef and b is the other leg while c is always the hypotenuse or longest side.

In d, you'll use it twice to find the missing measure. First use it when a = 12 and b = 20. So you'll have:

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Repeat the same process using a = 9 and c = 23.32. Then solve for the b value.

9^2 + b^2 = 23.32^2\\81 + b^2 = 544\\b^2 = 544 - 81\\b^2 = 463\\b = \sqrt{463} \\b = 21.5

4 0
3 years ago
Yt3=1/2(x+4) in standard form
son4ous [18]
Do you mean 3y? If so, 3y = 1/2x + 2

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3 years ago
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rjkz [21]
-15 both sides and then it’s will be
5x = 13 then u divide both sides over 5 and the answer will be ( X=2.6 )
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2 years ago
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