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nlexa [21]
3 years ago
14

Jason designs a rectangular sandbox. He models the perimeter of the sandbox using the expression 8l+2, where l is the length of

the sandbox. Which statement includes an equivalent expression to 8l+2 with a correct description?
A.The expression 2l+2(3l+1) shows the width is 1 more than 3 times the length.
B.the expression 10l shows the perimeter is 10 times the length.
C.The expression 2l+(6l+2) shows the width is 2 more than 6 times the length.
D.The expression 2(4l+1) shows the perimeter is 1 more than 4 times the length.
Mathematics
1 answer:
inn [45]3 years ago
7 0

Answer:

A   .The expression 2l+2(3l+1) shows the width is 1 more than 3 times the length.

Step-by-step explanation:

p = 8l + 2

Length = l

Width:

2w = p - 2l

2w = (8l + 2) - 2l

2w = 6l + 2

w = 3l + 1

Therefor w is 3 times the length plus 1

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Which equation requires the division property of equality to be solved?
Ymorist [56]

Answer:

A. 201.6 = 11.2f

Step-by-step explanation:

we solve for each unknown to verify which equality will require the division property:

#A. 201.6 = 11.2f

201.6=11.2f\\\\f=\frac{201.6}{11.2}=201.6\div 11.2\\\\=18

Hence, division property used.

#B. 35.4=Z ÷ 3.1

35.4=Z\div 3.1\\\\35.4=\frac{Z}{3.1}\\\\Z=35.4\times 3.1\\\\=109.74

Hence, multiplication property used.

#C. t/3.2=15.1

\frac{t}{3.2}=15.1\\\\t=15.1\times 3.2\\\\=48.32

Hence, multiplication property used.

#D. 201.6 = 11.2+c

201.6=11.2+c\\\\201.6-11.2=c\\\\c=190.4

Hence, subtractionproperty used.

5 0
3 years ago
Read 2 more answers
The distribution of the number of words in text messages between employees at a large company is skewed right
kaheart [24]

The probability the sample mean is more than 10 words for a random sample of 39 messages is 2.12%

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

The z score is given by:

z = (raw score - mean) / (standard deviation / √sample size)

Given mean of 8.6 words and a standard deviation of 4.3 words. If a random sample of 39 messages, hence, for x > 10:

z = (10 - 8.6) / (4.3 / √39) = 2.03

P(x > 10) = P(z > 2.03) = 1 - P(z < 2.03) = 1 - 0.9788 = 0.0212

The probability the sample mean is more than 10 words for a random sample of 39 messages is 2.12%

Find out more on equation at: brainly.com/question/2972832

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8 0
2 years ago
Data is collected to perform the following the hypothesis test:
nekit [7.7K]

Answer:

option f is right

Step-by-step explanation:

Given that data is collected to perform the following hypothesis test.

H_0: \mu = 5.5\\H_a: \mu >5.5

(right tailed test)

Sample mean = 5.4

p value = 0.1034

when p value = 0.1034 we normally accept null hypothesis.  i.e chances of null hypothesis true is  the probability of obtaining test results at least as extreme as the results actually observed during the test, assuming that the null hypothesis is correct

f) If the mean µ does not differ significantly from 5.5 (that is, if the null hypothesis is true), then the probability of obtaining a sample mean y as far or farther from 5.5 than 5.4 is .1034.

.

5 0
3 years ago
Leon made more baskets than Jaden but fewer baskets than Jeremiah. Who made more baskets, Jeremiah or Jaden?
snow_lady [41]

Answer:

I’m pretty sure it’s Jeremiah

Step-by-step explanation:

6 0
3 years ago
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A bank is offering 2.5% simple interest on a savings account . if you deposit $5000, how much interest will you earn in one year
hjlf

Answer: $1,500

I=PRT

I=(5000)(.025)(12)

I=$1,500

4 0
3 years ago
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