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DENIUS [597]
2 years ago
8

A landscaping company is delivering crushed stone to a construction site .The Table shows the total weight in pounds W, of n loa

ds of crushed stone. Which equation could represent the total weight, in pounds ,for n loads of crushed stone?
A.600/n
B.W=6,000-2,000n
C.W=2,000n
D.W=n+2,000

Mathematics
1 answer:
irina1246 [14]2 years ago
3 0

Answer:

Option (C)

Step-by-step explanation:

From the given table,

Dependent variable is the weight of each load and independent variable is number of loads of crushed stones.

Let the equation that represents the total weight is,

W = mn + b

Where 'm' = slope of the line

b = y-intercept

n = number of loads

Since graph starts from the origin (0, 0), y - intercept 'b' will be 0.

Two points lying on the line are (0, 0) and (1, 2000)

Slope of the line 'm' = \frac{y_2-y_1}{x_2-x_1}

                                  = \frac{2000-0}{1-0}

                                  =2000

Therefore, equation will be,

W = 2000n

Option (C) will be the answer.

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Which will result in a difference of squares? (negative 7 x + 4)(negative 7 x + 4) (negative 7 x + 4)(4 minus 7 x) (negative 7 x
nevsk [136]

Answer:

(negative 7 x + 4)(negative 7 x minus 4)

Step-by-step explanation:

Consider two real numbers a and b. A difference of squares involving a and b is usually given as;

a^{2}-b^{2}

The difference of the two squares above can be factored to yield;

(a-b)(a+b)

This implies that in order to have the difference of squares we must have a product involving the difference and the sum of the numbers.

The expression;

(negative 7 x + 4)(negative 7 x minus 4) can also be written as ( 4 - 7x) ( -4 - 7x)

( 4 - 7x) ( -4 - 7x) = ( 4 - 7x) (-1( 4 + 7x)) = -1 *( 4 - 7x) ( 4 + 7x)

Expanding the last expression yields;

-1 (16 + 28x -28x - 49x^2) = -1 (16 - 49x^2) = 49x^2 - 16 which is in deed a difference of squares

3 0
2 years ago
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Anita earns 60 points every time she shops at a grocery store.She needs a total of 2,580 points to receive a free prize.So far s
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Answer: 43 more times

2580÷60=43.

Step-by-step explanation: 43×60 =2580

This proves that 43 times is correct.

6 0
2 years ago
For the upcoming holiday season, Dorothy wants to mold 20 bars of chocolate into tiny pyramids. Each bar of chocolate contains 6
lorasvet [3.4K]

Answer:

A. 180

Step-by-step explanation:

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2 years ago
Solve: the quantity 3x minus 15 divided by 2 = 4x
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Answer:

x=-3

Step-by-step explanation:

(3x-15)/2 = 4x

Multiply each side by 2

(3x-15)/2 *2= 4x*2

3x-15 = 8x

Subtract 3x from each side

3x-15-3x = 8x-3x

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-15/5 = 5x/5

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5 0
2 years ago
The equations below represent the numbers y of tickets sold after x weeks for two different local music festivals
Anton [14]
Assuming you mean y=10x+150 and y=20x+115, you need to use a simultaneous equation, because you have two equations with two unknowns (x and y)

rearrange so
10x-y=-150
20x-y=-115

multiply the top by -1, so that if we add the two lines together, the y will cancel out
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add the two lines together
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x=3.5

so the time is 3 and a half weeks

then we can sub in x to find y
20x-y=-115
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so 185 tickets were sold !
you can sub these values into your original equations to check your answer :)
5 0
2 years ago
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