All categories

3 years ago

A rectangle has a length of 9 inches and a perimeter of 22 inches. What is the width of the rectangle?

Mathematics

1 answer:

Minchanka [31]3 years ago

7 0

$p = 2(l + w)$

$22 = 2(9 + w)$

$\frac{22}{2} = \frac{2(9 + w)}{2}$

$11 = 9 + w$

$11 - 9 = 9 - 9 + w$

$2 = w$

$p = 2(9 + 2)$

$p = 2(11)$

$p = 22$

You might be interested in

A jar has 32 marbles. Some are blue and the rest are green. There are three times as many green marbles as blue. How many green

ella [17]

Answer: 24

Step-by-step explanation:

Number of marbles in jar = 32

Let blue marbles be represented by b.

Since there are three times as many green marbles as blue. This means that green will be = 3 × b = 3b

We then add them together. This will be:

3b + b = 32

4b = 32

b = 32/4

b = 8

There are 8 blue marbles

Since green is 3× blue. Therefore,

Green = 8 × 3 = 24 marbles

7 0

2 years ago

Solve this application problem using a system of equations: The Bright College footballteam scored 80 times last season, some on

Goryan [66]

Answer:

$\large \boxed{\sf \ \ 69 \ \textbf{touchdowns } 11 \ \textbf{field goals } \ }$

Step-by-step explanation:

Hello,

Touchdown is 7 points, field goals is 3 points

Let's note a the number of touchdowns and b the number of field goals, we can write

(1) a + b = 80

(2) 7a + 3b = 516

(2) - 3*(1) gives

7a + 3b - 3(a + b) = 516 - 3*80

<=> 7a + 3b -3a - 3b = 516 - 240 = 276

<=> 4a = 276

<=> $a=\dfrac{276}{4}=69$

And then from (1) b = 80 - 69 = 11

Hope this helps

4 0

3 years ago

Shelly has $175 to shop for jeans and sweaters. Each pair of jeans costs $25 and each

Ksju [112]

Answer:

3 jeans and 5 sweaters

Step-by-step explanation:

This is a solid guess

However, this is a straight forward question.

175 she has to spend all of it.

To make it an even number you minus 25.

Than you have 150, minus another 50.

You have 5 more clothes to buy, and $100 left.

You use the rest to buy sweaters, therefore spending all the money and getting 8 clothing.

4 0

3 years ago

Mr. Young is offered an investment opportunity. Kyra says she will invest his money at a 6% simple interest rate over the next 7

gregori [183]

Answer:

$126

Step-by-step explanation:

Given that:

Investment is done as per Simple interest.

Principal = $3000

Time for which the investment is to done = 7 years

Rate of interest = 6%

To find:

Interest earned when the investment matures?

Solution:

Formula for Simple Interest :

$Simple\ Interest = \dfrac{PRT}{100}$

Where $P$ is the principal amount

$R$ is the Rate of Interest

$T$ is the time for which the investment is made

Putting the given values:

$Simple\ Interest = \dfrac{3000\times 6\times 7}{100}\\\Rightarrow Simple\ Interest = \dfrac{12600}{100}\\Simple\ Interest = \$126$

Therefore, the answer is:

Interest earned is <em>$126</em>.

8 0

3 years ago

A bricklayer lays 421 bricks on day 1 of a project, 623 on the 2nd day, and 343 the 3rd day, how many was the total number of br

Angelina_Jolie [31]

1,387 because you just add all the bricks (421+623+343)

4 0

3 years ago