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seropon [69]
3 years ago
10

Joyce knits baby sweaters and baby socks. The baby sweaters take 10 feet of yarn and the baby socks take 5 feet of yarn. She has

100 feet of yarn and wants to make 5 sweaters. What is the maximum number of socks she will be able to make from the leftover yarn?
Let x represent sweaters and y represent socks.

Select one:
A. 8
B. 9
C. 11
D. 10
Mathematics
2 answers:
charle [14.2K]3 years ago
8 0
I believe the correct answer is c
Sergeu [11.5K]3 years ago
3 0

Answer: the maximum number of socks she will be able to make from the leftover yarn is 10

Step-by-step explanation:

Let x represent the number of sweaters.

Let y represent the number of socks.

The baby sweaters take 10 feet of yarn and the baby socks take 5 feet of yarn. This means that the total number of feet of yarn needed to make x sweaters and y socks is expressed as

10x + 5y

She has 100 feet of yarn and wants to make 5 sweaters. This means that

10 × 5 + 5y = 100

50 + 5y = 100

5y = 100 - 50 = 50

y = 50/5

y = 10

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A girl that is 4 feet tall is standing next to the empire State building in New York city. The girls shadow is 3.2 feet long. If
lesya692 [45]

Answer: 1163.2 feet

<u>Step-by-step explanation:</u>

Set up the proportion then cross multiply:

\frac{height(girl)}{height(building)} = \frac{shadow (girl)}{shadow(building)}

\frac{4}{1454} = \frac{shadow (3.2)}{x}

4(x) = 1454(3.2)

   x = \frac{1454(3.2)}{4}

   x = 1163.2

3 0
3 years ago
The board of examiners that administers the real estate broker's examination in a certain state found that the mean score on the
Goshia [24]

Answer:

The passing score is 645.2

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 553, \sigma = 72

If the board wants to set the passing score so that only the best 10% of all applicants pass, what is the passing score?

This is the value of X when Z has a pvalue of 1-0.1 = 0.9. So it is X when Z = 1.28.

Z = \frac{X - \mu}{\sigma}

1.28 = \frac{X - 553}{72}

X - 553 = 1.28*72

X = 645.2

The passing score is 645.2

6 0
3 years ago
How do u write 20,484,163 in expanded form
Lubov Fominskaja [6]
Expanded form is when you take a number, and add its digits together, reforming the number. For example, 1,523 would be 1,000 + 500 + 20 + 3
Here are a few examples:
2,000 + 400 + 50 + 7 = 2,457
200,000 + 700 + 10 + 2 = 200,712
50,000 + 800 + 50 + 6 = 50,856
60,000,000 + 200,000 + 50,000 + 1,000 + 400 + 20 + 3 = 60,251,423

So, 20,484,163 is equal to

20,000,000 + 400,000 + 80,000 + 4,000 + 100 + 60 + 3 = 20,484,163

I hope I helped!
~Olivia




8 0
3 years ago
This is a question I need help with​
OverLord2011 [107]

Answer:

55

Step-by-step explanation:

180=35+90+m∠3

5 0
2 years ago
Which of the following is most likely the next step in the series?
ANTONII [103]

It would be  C)

the pattern is

(2,6,12,20)

8 0
4 years ago
Read 2 more answers
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