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Ne4ueva [31]
3 years ago
12

A trailer will be used to transport several 40-kilogram crates to a store. The greatest amount of weight that can be loaded onto

the trailer is 1,050 kilograms. An 82-kilogram crate has already been loaded onto the trailer. What is the greatest number of 40-kilogram crates that can also be loaded onto the trailer?
Mathematics
1 answer:
nikklg [1K]3 years ago
5 0

Answer:

24

Step-by-step explanation:

The total capacity of the trailer is 1,050 kg.

An 82-kg crate is already loaded on the trailer.

We subtract 82 kg from 1,050 kg to find out the amount of weight still available.

1,050 kg - 82 kg = 968 kg

The trailer can still carry another 968 kg.

Each additional crate weighs 40 kg.

We divide 968 kg by 40 kg to calculate the number of crates that can still be loaded.

(968 kg)/(40 kg) = 24.2

Since we cannot place 0.2 of a crate, we round 24.2 down to 24.

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Tema [17]

Answer:

y = \frac{1}{2} x+7

Step-by-step explanation:

Slope-intercept form: y = mx + b

Slope formula: \frac{y2-y1}{x2-x1}

Given points: (-6, 4), (6, 10)

(-6, 4) = (x1, y1)

(6, 10) = (x2, y2)

To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.

First, let's find the slope. To do this, input the given points into the slope formula:

\frac{10-4}{6-(-6)}

Simplify:

10 - 4 = 6

6 - (-6) = 6 + 6 = 12

\frac{6}{12}=\frac{1}{2}

The slope is \frac{1}{2}.

To find the y-intercept, input the slope and one of the given points(in this example I'll use point (6, 10)) into the equation and solve for b:

10 = \frac{1}{2}(6)+b

10 = 3 + b

7 = b

The y-intercept is 7.

Now that we know the slope and the y-intercept, we can write the equation:

y = \frac{1}{2} x+7

4 0
3 years ago
-(x + 8) = -x
White raven [17]

Answer:

Step-by-step explanation:

i can help

Step 1

-(x + 8) = -x  Simplify

Step 2

-(x + 8) = -x  Simplify the sides of the equation

-x-8=-x

Step 3

-x-8=-x  Add x to the sides

-8=0

Step 4

-8=0  Add 8 to the sides

0=8

Answer

No solution

Hope this helps

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3 years ago
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Answer:

B.

Step-by-step explanation:

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I believe the answer is -230
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Answer:

125

Step-by-step explanation:

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