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3 years ago

12

The length of rectangle PQRS is expressed as 2x+7. The width of rectangle PQRS is expressed as 3x−4. Which expression describes

the area of rectangle PQRS?
A.6x^2
B.6x^2-29x-28
C.6x^2-15
D.6x^2+13x-28

1 answer:

dalvyx [7]3 years ago

3 0

Answer:

$area = length \times width \\ = (2x + 7)(3x - 4) \\ = (6 {x}^{2} - 8x + 21x - 28) \\ = (6 {x}^{2} + 13x - 28) \: sq \: units$

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Whats is y=1/3x+2 This is for math

marusya05 [52]

Answer:

an equation of a line

Step-by-step explanation:

This is an equation of a line. Lets walk through it.

y=1/3x+2

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Y=1/3x+2

This is what the slope is. If the slope is negative (ie. -3/4) the greater the x intercept the lower the y will be. (so if I had x=4 for a slope of -3/4, that would be y=-3/4(4)+2, y=-3+2, y=-1) But if the slope is positive (ie. 1/3) the greater the x value the greater the y value as well. (see graph attached below for positive)

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3 years ago

A plot of land doubles in size by adding x meters to the length and x meters to the width of the land. if the original plot had

ladessa [460]

Lets write as an equation the info provided in the problem:
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Now writing as a single equation all info:
(300 + x)(200 + x) = 120000
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3 years ago

Three boxes have a total weight of 640 pounds. Box A weights twice as much as Box B. Box C weight 30 pounds more than Box A. How

Zarrin [17]

Answer:

A: 244 pounds

B: 122 pounds

C: 274 pounds

Step-by-step explanation:

We have A+B+C = 640; A=2B; C=A+30. Substituting the last into the first gives ...

A + B + (A +30) = 640

2A +B = 610 . . . . . . . . . . . . subtract 30

Substituting the second into this equation gives ...

2(2B) +B = 610

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A = 2B = 244 . . . . . . . .find A from B

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Box A weighs 244 pounds; box B weighs 122 pounds; box C weighs 274 pounds.

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3 years ago

Farmer Brown has 42 animals, which are cows and chickens. They have a total of 120 legs. Write a system of equations, show your

SCORPION-xisa [38]

Answer:

The system of equations is:

x + y = 42

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And there are 24 chickens.

Step-by-step explanation:

We know that the total number of cows (x) plus the total number of chickens (y) is 42, because Farmer Brown has 42 animals.

We also know that cows (x) have 4 legs and so 4 times the number of cows is the number of cow legs. And chickens (y) have 2 legs, so the number of chickens times two represents the total chicken legs. The sum of 4x + 2y is 120 because there are 120 legs in total.

To solve the system of equations, first solve each equation for y.

In the first equation:

x + y = 42

Subtract x from both sides to isolate y.

y = 42 - x

Second equation:

4x + 2y = 120

Subtract 4x from both sides

2y = 120 - 4x

Divide both sides by 2

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Now that the y's are isolated in both equation, you can put them into 1 equation. Where y = y:

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42 - x = 60 - 2x

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42 + x = 60

Subtract 42 from both sides

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2 years ago