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3 years ago

The length of a rectangle is four times its width. If the perimeter of the rectangle is 50 yd, find its area.

Mathematics

2 answers:

zepelin [54]3 years ago

5 0

Answer:

Area of rectangle is 100 square inches.

Step-by-step explanation:

Area of rectangle = length * width

a=l*w

a=4w*w

a=4w^2............(1)

Put the value of w in (1)

a=4(5)^2

a=4(25)

a=100in^2

boyakko [2]3 years ago

3 0

Answer:

100 yards

Step-by-step explanation:

the length is 4 times the width of the rectangle, so I used guess and check and figured 20 is four times greater than 5 and plugged those two numbers in and it worked.

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soldi70 [24.7K]

Answer:

c. 69

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Step-by-step explanation:

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2 years ago

A researcher is interested in estimating the mean weight of a semi trailer truck to determine the potential load capacity. She t

Kaylis [27]

Answer: 95% confidence interval = 20,000 ± 2.12 $\times$ $\frac{1500}{\sqrt{17} }$

( 19228.736 , 20771.263 ) OR ( 19229 , 20771 )

Step-by-step explanation:

Given :

Sample size(n) = 17

Sample mean = 20000

Sample standard deviation = 1,500

5% confidence

∴ $\frac{\alpha}{2}$ = 0.025

Degree of freedom ( $d_{f}$ ) = n-1 = 16

∵ Critical value at ( 0.025 , 16 ) = 2.12

∴ 95% confidence interval = mean ± $Z_{c}$ $\times$ $\frac{\sigma}{\sqrt{n} }$

Critical value at 95% confidence interval = 20,000 ± 2.12 $\times$ $\frac{1500}{\sqrt{17} }$

( 19228.736 , 20771.263 ) OR ( 19229 , 20771 )

3 0

3 years ago

Maya had $27. She spent all the money on buying 3 burgers for $x each and 2 sandwiches for $y each. If Maya would have bought 2

defon

Answer:

Option C

The student's conclusion is correct because the solution to the system of equations $3x+2y=27$ and $2x+y=16$ is $(5,6)$

Step-by-step explanation:

Let

x------> the cost of each burger

y-----> the cost of each sandwich

we know that

$3x+2y=27$ -----> equation A

$2x+y=(27-11)$

$2x+y=16$ ----> equation B

Solve the system of equations

Multiply the equation B by $-2$

$-2(2x+y)=-2*16$ -----> $-4x-2y=-32$ ------> equation C

Adds equation A and equation C

$3x+2y=27 \\-4x-2y=-32\\ ----------\\ 3x-4x=27-32\\ -x=-5\\x=5$

Substitute the value of x in the equation B

$2(5)+y=16$

$10+y=16$

$y=6$

The solution of the system of equations is the point $(5,6)$

The price of each burger is $\$5$

The price of each sandwich is $\$6$

6 0

3 years ago

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you are buying a new shirt at the mall. It has a price of $59.99. you have a coupon for 20% off. In new jersey the sales tax is

Musya8 [376]

59.99
× .20= 11.99 round up to 12.00

59.99
-12.00=
47.99

47.99
×0.0825=
3.359 round up to 3.96

47.99
+3.96=
Total: $51.95

4 0

4 years ago

Start time 11:00 am Elapsed time 4 hr and 5 min

vivado [14]

Well, if it starts on 11:00 am, add 4 hours = 3:00 + 5 min = end time = 3:05 am.
Hopes this helps ;)

8 0

4 years ago

Read 2 more answers