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Bumek [7]
3 years ago
9

Type the correct answer in each box. The length of a rectangle is 2 inches more than its width. The perimeter of the rectangle i

s 24 inches. The equation 2x + 2(x + 2) = 24, where x is the width in inches, represents this situation. The value of x from the set {1, 3, 5, 7} that holds true for the equation is . So, the width of the rectangle is inches and its length is inches
Mathematics
2 answers:
Lera25 [3.4K]3 years ago
5 0

Answer:

x=5 in (Width)

x+2=5+2=7 in (Length)

Step-by-step explanation:

You are given the equation 2x+2(x+2)=24 to solve for x where x is the width.

First step, use distributive property 2x+2x+4=24

Second step, subtract 4 on both sides  and combine the like terms on the left hand side: 4x=20

Divide both sides by 4:  x=20/4

So x=5 in

And since length is 2 more than the width so the length is 2+5=7 in

vekshin13 years ago
4 0

Answer:

5 is the width and 7 is the length

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Carson needs to select one of the following designs that meet his volume requirement, using the least amount of sheet metal which is the first option. Rectangular prism with dimensions of 8 in, 8 in., and 5 in.

<h3>How to find the volume of a right rectangular prism?</h3>

Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units, then its volume is given as:

V =  a\times b \times c \: \: unit^3

Carson needs to build a closed container out of sheet metal but needs to minimize the amount of sheet metal used.

The volume of Carson's container needs to be approximately 320 cubic Inches.

Carson needs to select one of the following designs that meets his volume requirement, using the least amount of sheet metal.

If we consider the Rectangular prism with dimensions of 8 inches (in.), 8 in., and 5 in.

Then the volume would be

V = 8 \times 8 \times 5\\\\V = 320

This satisfies the given volume so it could be the correct answer.

Learn more about the volume of a right rectangular prism here:

brainly.com/question/21308574

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3 0
2 years ago
The dimensions of a triangular prism are given in the diagram find the volume of the prism in cubic feet .
nata0808 [166]

Answer:

B. 192.5 ft³

To find the volume of a triangle prism, multiply the base, height, and length together, and then divide it by 2 (or multiply that by 0.5).

(5 * 7 * 11)/2

Multiply 5 by 7 to get 35.

(35 * 11)/2

Multiply 35 by 11 to get 385.

385/2

192.5 ft³ is the volume of this triangluar prism.

4 0
3 years ago
Read 2 more answers
The photo shows a small coin. The scale from the actual coin to the photo is 8 mm to 2 cm In the photo, the distance across the
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Answer:

1.3cm

Step-by-step explanation:

The scale from the actual coin to the photo is 8 mm to 2 cm In the photo,

converting 8mm to cm = 0.8 cm

using ratio and proportion,

if 2cm = 3.25 cm

then 0.8cm = ? less

if less then more devides.

thus ; (0.8cm ÷2cm ) × 3.25cm =

( 0.4) × 3.25cm = 1.3cm

therefore the distance across the actual coin is 1.3cm.

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Allison has an account balance of -$50.15. Does Allison owe the bank more or less than $50?
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Answer: Allison owes the bank more then $50

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3 years ago
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It is claimed that automobiles are driven on average more than 20,000 kilometers per year. To test this claim, 100 randomly sele
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Answer:

t=\frac{23500-20000}{\frac{3900}{\sqrt{100}}}=8.974      

p_v =P(t_{99}>8.974)=9.43x10^{-15}  

If we compare the p value and the significance level given for example \alpha=0.05 we see that p_v so we can conclude that we to reject the null hypothesis, and the actual mean is significantly higher than 20000.      

Step-by-step explanation:

1) Data given and notation      

\bar X=23500 represent the sample mean  

s=3900 represent the sample standard deviation      

n=100 sample size      

\mu_o =2000 represent the value that we want to test    

\alpha represent the significance level for the hypothesis test.    

t would represent the statistic (variable of interest)      

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.      

We need to conduct a hypothesis in order to determine if the true mean is higher than 20000, the system of hypothesis would be:      

Null hypothesis:\mu \leq 2000      

Alternative hypothesis:\mu > 2000      

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:      

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)      

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic      

We can replace in formula (1) the info given like this:      

t=\frac{23500-20000}{\frac{3900}{\sqrt{100}}}=8.974      

Calculate the P-value      

First we need to calculate the degrees of freedom given by:  

df=n-1=100-1=99  

Since is a one-side upper test the p value would be:      

p_v =P(t_{99}>8.974)=9.43x10^{-15}  

Conclusion      

If we compare the p value and the significance level given for example \alpha=0.05 we see that p_v so we can conclude that we to reject the null hypothesis, and the actual mean is significantly higher than 20000.      

8 0
3 years ago
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