Which expressions are equivalent to

The perimeter of a rectangle is 72 cm. The length is 3 more than twice the width What

solmaris [256]

<h3>Solution</h3>

Given :-

Perimeter of rectangle = 72 cm
The length is 3 more than twice the width.

Find :-

Dimensions of rectangle

<h3 /><h3>Explantion</h3>

Using Formula

$\boxed{\underline{\tt{\red{\:(perimeter_{rectang}\:=\:2\times (Length+Width)}}}}$

Let,

Length of Rectangle = x cm
Breadth of Rectangle = y cm

According to question,

==> perimeter of Rectangle = 72

==> 2(x+y) = 72

==> x + y = 72/2

==> x + y = 36_________________(1)

Again,

==> x = 2y + 3

==> x - 2y = 3__________________(2)

Subtract equ(1) & equ(2)

==> y + 2y = 36 - 3

==> 3y = 33

==> y = 33/3

==> y = 11

keep in equ(1)

==> x - 2×11 = 3

==> x = 3 + 22

==> x = 25

<h3>Hence</h3>

Length of Rectangle = 25 cm
Width of Rectangle = 11 cm

<h3 />

7 0

2 years ago

A rectangular garden has a walk around it of width x. The garden is 20 ft by 15 ft. Write a function representing the combined w

kodGreya [7K]

Answer: A(x) = 15 ft + 2x

EXPLANATION

Given,

The dimension of the rectangular garden is 20 ft by 15 ft.

Dimension of a rectangle is written as Length by Width

This implies that,

Length of the garden = 20 ft

Width of the garden = 15 ft

The garden has a walk around it of width x.

The combined width of the garden = Width of garden + 2x

[we are adding twice the width of the walk because it is around the garden (this means it will add to the width of the garden on both the left and right sides)]

Combined width of the garden, A(x) = Width of garden + 2x

Since width of the garden = 15 ft

A(x) = 15 ft + 2x

5 0

3 years ago

According to a recent study of 7335 young people in the US, 30% had been arrested for a crime other than a traffic violation by

victus00 [196]

Answer:

a) Statistic.

b) The population proportion is expected to be between 0.29 and 0.31 with a 94% degree of confidence.

Step-by-step explanation:

a) The proportion of 30% is a statistic, as it is a value that summarizes data only from the sample taken in the study from USA Today. Other samples may yield different proportions.

b) We can use the statistic to estimate a confidence interval for the parameter of the population.

The standard error for the proportion is calculated as:

$\sigma_p=\sqrt{\dfrac{p(1-p)}{N}}=\sqrt{\dfrac{0.3\cdot 0.7}{7335}}=\sqrt{2.83\cdot10^5}= 0.00535$

The margin of error is 0.01. We can use this value to determine the level of confidence that represents.

The formula for the margin of error is:

$E=z\cdot \sigma_p=0.01\\\\z\cdot 0.0535=0.01\\\\z=1.87$

This z-value, according to the the standard normal distribution, corresponds to a confidence interval of 94%.

The interval for this margin of error is:

$p-E\leq \pi \leq p+E\\\\0.30-0.01\leq \pi \leq 0.30+0.01\\\\0.29\leq \pi \leq 0.31$

Then, we can conclude that the population proportion is expected to be between 0.29 and 0.31 with a 94% degree of confidence.

3 0

3 years ago

Will give brainliest to first answer

fiasKO [112]

Answer:

the answer is 1500

Step-by-step explanation:

please give brainlyest

5 0

3 years ago

The cost for a company to produce x t-shirts can be modeled by

lana [24]

Answer:

P(x)=-2x^2+34x+98

The cost function is given by c(x)=21x-98

And the revenue function is given by r(x)=55x-2x^2

The profit function is the difference of revenue function and the cost function. Mathematically, we can write

p(x)=r(x)-c(x)

Substituting the values, we get

p(x)=55x-2x^2-(21x-98)

p(x)=-2x^2 + 34x = 98

Therefore, the profit function is

p(x) = -2x^2 + 34x + 98

Step-by-step explanation:

6 0

3 years ago

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