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3 years ago

Find the area of a rectangle with a length of (5x – 4) and a width of (-3x – 6).

1 answer:

4 0

Use this simple calcula tor to find the area and perimeter of a rectangle. ... Suppose the length is a = 6 inches and the width is b = 4 inches.

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If 30 buses can carry 1,500 people, how many people can 5 buses carry? A 200 © 500 B 250 D 750

maksim [4K]

Answer:

$\boxed {\boxed {\sf 250 \ people}}$

Step-by-step explanation:

Let's set up a proportion using the following setup.

$\frac {buses}{people}=\frac {buses}{people}$

We know 30 buses can carry 1,500 people.

$\frac {30 \ buses}{1500 \ people}=\frac {buses}{people}$

We don't know how many people 5 buses can carry, so we say 5 buses carry x people.

$\frac {30 \ buses}{1500 \ people}=\frac {5 \ buses}{x \ people}$

$\frac {30 }{1500 }=\frac {5 }{x }$

Cross multiply. Multiply the numerator of the first fraction by the second fraction's denominator. Then, multiply the first denominator by the second numerator.

$30*x=1500*5\\30x=7500$

Solve for x. It is being multiplied by 30. The inverse of multiplication is division. Divide both sides by 30.

$30x/30=7500\\x=250$

5 buses can carry 250 people.

7 0

3 years ago

A quantity, y, varies directly as x When y=10, x=6.<br> Find xwhen y= 14.

grigory [225]

The value of x when y = 14 is 8.4

<h3 />

<h3>How to solve variation ?</h3>

y, varies directly as x. Therefore,

y ∝ x

Therefore,

y = kx

where

k =constant of proportionality

Therefore,

10 = 6k

k = 10 / 6

k = 5 / 3

Hence, when y = 14

y = kx

14 = 5 / 3 x

cross multiply

42 = 5x

x = 42 / 5

x = 8.4

learn more on variation here: brainly.com/question/20707320

#SPJ1

7 0

2 years ago

-3x(x+8)+x+2(9-x-x^2) please show solving steps

Flauer [41]

Answer:

-5x^2 - 25x + 18

Step-by-step explanation:

-3x ( x + 8 ) + x + 2 ( 9 - x - x^2 ) ( original equation )

-3x^2 - 24x + x + 18 - 2x - 2x^2 ( distribute )

-3x^2 - 2x^2 - 24x + x - 2x + 18 ( order them based on the variables . )

( -3x^2 - 2x^2 ) (- 24x + x - 2x ) ( + 18 ) ( just separated them not a part of solving !! )

-5x^2 - 25x + 18 ( solved , and the answer :) )

Hope its helps !!!

4 0

3 years ago

The population of a small town in central Florida has shown a linear decline in the years 2001-2012. In 2001 the population was

earnstyle [38]

Answer:

Step-by-step explanation:

First of all, to keep our numbers manageable, we are going to let year 2001 = 0 so year 2012 = 11. The coordinates that result from these years/population numbers are (0, 22200) and (11, 13950). Since this linear, we can plug those 2 coordinate pairs into the slope equation to find the rate at which the population is decreasing in people per year:

$m=\frac{13950-22200}{11-0}=\frac{-8250}{11}=-750\frac{people}{year}$ That means that the town is losing people at the rate of 750 per year. We can use that slop along with one of the coordinate points to write the linear equation representing this situation: