All categories

3 years ago

If the area of the rectangle shown is given by the expression 3x2 + 72 - 6and the width is (a + 3), which of the

Mathematics

1 answer:

aleksandr82 [10.1K]3 years ago

4 0

Answer:

3x - 2.

Step-by-step explanation:

The length = area / width.

The area 3x^2 + 7x - 6 = (3x - 2 )(x + 3)

so the length = (3x - 2 )(x + 3 ) / x + 3

= 3x - 2.

You might be interested in

If 2*3=10, 3*5=13, what is 4*7?

Mrac [35]

It should be 16, but because there is only 2 examples, I'm not totally sure. But, I hope this helps you! :)

3 0

3 years ago

Ann cuts her brownie into six equal parts and eats three pieces. Chris cuts his brownie into ten equal parts and eats four piece

Trava [24]

Answer:

Step-by-step explanation:

Ann ate 3/6, or 1/2 (50%) of hers.

Chris ate 4/10, or 2/5 (40%) of his.

Chris has more left.

5 0

3 years ago

Which of the following choices gives you a slope of 3?

snow_tiger [21]

Answer: Could you list the choices?

8 0

3 years ago

A large aquarium contains only two kinds of fish, guppies and swordtails. If 3/4 of the number of guppies is equal to 2/3 of

Jlenok [28]

Answer:

$\frac{8}{17}$ of fish in this aquarium are guppies.

Step-by-step explanation:

Let x be the number of guppies and y be the number of swordtails in the aquarium,

According to the question,

$\frac{3}{4}\text{ of } x=\frac{2}{3}\text{ of }y$

$\frac{3x}{4}=\frac{2y}{3}$

By cross multiplication,

$9x=8y$

$\implies \frac{x}{y}=\frac{8}{9}$

Thus, the ratio of guppies and swordtail fishes is 8 : 9

Let guppies = 8x, swordtail = 9x

Where, x is any number,

Since, the aquarium contains only two kinds of fish, guppies and swordtails,

So, the total fishes = 8x + 9x = 17x

Hence, the fraction of fish in the aquarium are guppies = $\frac{\text{Guppies}}{\text{Total fishes}}$

$=\frac{8x}{17x}$

$=\frac{8}{17}$

6 0

3 years ago

Ms.Carger has has to send some emails in the afternoon.It takes her 3 minutes to start up her computer and log-in to her email,

butalik [34]

Answer:

Ms. Carger would have sent $\frac{x-3\\}{7} \\$ emails in x minutes

Step-by-step explanation:

Firstly, Ms. Carger takes her 3 minutes to start up her computer and log-in to her email.

Therefore in x minutes, after starting up her computer and logging-in to her email, she would have x minutes minus the time used to start up her computer and log-in to her email. this implies she would have (x-3) minutes left for sending emails.

Since it takes 7 minutes to write and send each email, in (x-3) minutes she would be able to send only $\frac{x-3}{7}$ emails.

Therefore equation to represent the number of emails she can send in x minutes is $\frac{x-3}{7}$ emails

6 0

3 years ago