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olganol [36]
3 years ago
10

Mr.Nowlings garden has a length that is 7ft more than twice the width. Draw a diagram to represent this situation.Label each sid

e of the garden,and then write an expression for the perimeter.

Mathematics
2 answers:
mart [117]3 years ago
8 0
The expression for the perimeter would be

2(x) + 2(2x+7)

which can be simplified to 2x+4x+14

which equals 6x+14
Paraphin [41]3 years ago
5 0

Answer: P = 2w + 2(2w + 7)

Step-by-step explanation:

Hi, to answer this question we have to write an equation for the value of the length:

Length: 2w + 7

Where w is the length

Applying the perimeter formula:

Perimeter: 2w + 2 L

Where L is the length,

Replacing with the values given:

P = 2w + 2(2w + 7)

Simplifying:

P =2w + 2 (2w) + 2 (7)

P = 2w +4w+14

P = 6W +14

Feel free to ask for more if needed or if you did not understand something.

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Drew invests $4000 at 6% for 5 years. How much interest does Drew earn? Remember the formula for simple interest is I=prt.
expeople1 [14]

Answer:

I = $1,200.00

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year,

then, solving our equation

I = 4000 × 0.06 × 5 = 1200

I = $1,200.00

6 0
3 years ago
Which expression is equivalent to one over 3p + 15?
Dafna1 [17]
<span>3p + 15 = 3(p + 5) (distributive property)

answer
</span><span>3(p + 5)</span>
6 0
3 years ago
Read 2 more answers
Which is the residual value when x = -2?
Aleks [24]

Answer:

-2

Step-by-step explanation:

hope this helped!

7 0
3 years ago
Identify the constant of proportionality from the graph. PLEASE HELP AND HURRY!!
geniusboy [140]
The answer is D

Have you ever heard of rise over run rise/run
Y/x. Well in this case the run is One with a rise of four
3 0
3 years ago
A researcher conducted an experiment to investigate the effectiveness of a medicated lotion in treating a skin irritation. A gro
Helga [31]

Answer:

It can be concluded that the medicated lotion has an effect on treating skin irritations.

Step-by-step explanation:

In this case we need to determine whether the medicated lotion was effective in treating the skin irritation or not.

The hypothesis can be defined as follows:  

<em>H₀</em>: There is no difference between the two proportions, i.e. <em>p</em>₁ - <em>p</em>₂ = 0.  

<em>Hₐ</em>: There is a significant difference between the two proportions, i.e. <em>p</em>₁ - <em>p</em>₂ ≠ 0.  

The information provided is:

n₁ = 40

n₂ = 40

X₁ = 36

X₂ = 16

Compute the sample proportions and total proportions as follows:

 \hat p_{1}=\frac{36}{40}=0.90\\\\\hat p_{2}=\frac{16}{40}=0.40\\\\\hat P=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{36+16}{40+40}=0.65

Compute the test statistic value as follows:

 z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat P(1-\hat P)[\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}=\frac{0.90-0.40}{\sqrt{0.65(1-0.65)[\frac{1}{40}+\frac{1}{40}]}}=4.69

The test statistic value is 4.69.

The decision rule is:

The null hypothesis will be rejected if the <em>p</em>-value of the test is less than the significance level.

Compute the <em>p</em>-value as follows:

 p-value=2\times P(Z

The <em>p</em>-value of the test is very small.

The null hypothesis will be rejected at any significance level.

Thus, there is a significant difference between the two proportions.

So, it can be concluded that the medicated lotion has an effect on treating skin irritations.

6 0
3 years ago
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