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2 years ago

Here are the dimensions of some rectangles. Which rectangle has an area of 12 square units and a perimeter of 14 units?

1 answer:

4 0

Considering the formulas for the area and the perimeter of the rectangle, the one with the desired measures is given as follows:

a length of 3 units and a width of 4 units.

<h3>What are the area and the perimeter of a rectangle?</h3>

Considering a rectangle of length l and width w, we have that:

A = lw.

P = 2(l + w).

For a rectangle with a length of 3 units and a width of 4 units, we have that:

A = 3 x 4 = 12 square units.

P = 2(3 + 7) = 14 units.

Hence it is the correct option.

More can be learned about the area and the perimeter of a rectangle at brainly.com/question/10489198

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What is the unit rate of $52.5 7h

Brilliant_brown [7]

Answer:

= 7.5 USD per hour

Step-by-step explanation:

This is a fraction equal to

52.5 USD ÷ 7 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 7

$\frac{52.5}{7}$ = 7.5 USD per hour

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3 years ago

A farmer sells 6.8 kilograms of apples and pears at the farmer's market. 2 5 of this weight is apples, and the rest is pears. Ho

Alina [70]

Answer:

weight of pears sold = 4.08 kg

Step-by-step explanation:

total weight of apples and pears = 6.8 kg

2/5 of this weight = apples

this means that if the total weight (6.8 kg) were divided into 5 parts, apples take 2 out of the 5 parts:

∴ weight of apples = 2/5 of total weight

weight of apples 2/5 × 6.8 = 2.72 kg

Therefore apples weigh a total of 2.72 kg

Therefore, since weight of apples + weight of pears = 6.8 kg

2.72 + weight of pears = 6.8

weight of pears = 6.8 - 2.72 = 4.08 kg

7 0

3 years ago

3. Which two expressions are equivalent for any value of y? *

-Dominant- [34]

Given:

The pair of expressions in the options.

To find:

The two expressions are equivalent for any value of y.

Solution:

Two expressions are equivalent for any value of y, iff they are equivalent.

$3(3y+3)=3(3y)+3(3)$

$3(3y+3)=9y+9$

Clearly, $3(3y+3)$ is not equivalent to $6y+6$ or $9y+6$ . So, options A and B are incorrect.

$9(y+3)=9(y)+9(3)$

$9(y+3)=9y+27$

$9(y+3)=27+9y$

The expression $9(y+3)$ is not equivalent to $12+9y$ . So, option C is incorrect.

The expression $9(y+3)$ is equivalent to $27+9y$ .

Therefore, the correct option is D.

5 0

3 years ago

The equation shown below involves a perfect square trinomial. 4x2 + 20x + 25 = 7 Which of the following is a step in solving thi

fomenos

4 x^2 + 20 x + 25 = 7
Divide both sides by 4:
x^2 + 5 x + 25/4 = 7/4
Write the left-hand side as a square:
(x + 5/2)^2 = 7/4
Take the square root of both sides:
x + 5/2 = sqrt(7)/2 or x + 5/2 = -sqrt(7)/2
Subtract 5/2 from both sides:
x = sqrt(7)/2 - 5/2 or x + 5/2 = -sqrt(7)/2
Subtract 5/2 from both sides:
Answer: x = sqrt(7)/2 - 5/2 or x = -5/2 - sqrt(7)/2

3 0

3 years ago

B(n)=1 (-2)^n-1<br> What is the 4th term in the sequence

Vera_Pavlovna [14]

Answer:

The 4th term in the sequence is -8.

Step-by-step explanation:

The nth term of the sequence B is given by:

$B(n) = (-2)^{n-1}$

So the fourth term will be given by:

B when n = 4, that is, B(4).

$B(4) = (-2)^{4-1} = (-2)^{3} = -8$

The 4th term in the sequence is -8.

3 0

3 years ago