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Keith_Richards [23]
3 years ago
8

Drag each equation to show if it could be a correct first step to solving the

Mathematics
1 answer:
DIA [1.3K]3 years ago
6 0

Answer:

The first step to solving the  equation is:

3x+24 = 42

Hence, 3x + 24 = 42 is the correct option.

Step-by-step explanation:

Given the equation

3(x+8)= 42

First of all, we need to apply the distributive law on the left side of the equation to expand the equation.

\quad \:a\left(b+c\right)=ab+ac

So the equation would be expaneded using the distributive law on the left side of the equation

3(x+8) = 42

3x+24 = 42        ∵ a(b+c) = ab + ac

Therefore, the first step to solving the  equation is:

3x+24 = 42

Hence, 3x + 24 = 42 is the correct option.

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The length of a rectangle is 3 times the width. The perimeter of the rectangle is 56 inches. Determine the width of the rectangl
Phoenix [80]

Answer:

7

Step-by-step explanation:

56/2=28 (since the formula is w x l x 2)

28/4=7

Width is 7 inches and length is 21 inches.

7 + 21 = 28 x 2 = 56

8 0
3 years ago
The price of a motorbike is $1,500. How much do you need to pay if it was 15% discount?
amm1812

Answer:

Hey!

Your answer is that the motorbike will cost $1,275 after the 15% discount

Step-by-step explanation:

15% of $1,500 is $225 so we minus this value away from $1,500 which gives us $1275!

HOPE THIS HELPS!!

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3 years ago
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2) find an equation of the line theough the given
Olenka [21]

Answer:

y = -2x + 2

Step-by-step explanation:

Given the following data;

Points on the x-axis (x1, x2) = (2, -1)

Points on the y-axis (y1, y2) = (-2, 4)

To find the equation of line in slope intercept form;

First of all, we would determine the slope of the line.

Mathematically, slope is given by the formula;

Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis}

Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}}

Substituting into the equation, we have;

Slope, m = \frac {4 - (-2)}{-1 -2}

Slope, m = \frac {4 + 2}{-1 -2}

Slope, m = \frac {6}{-3}

Slope, m = -2

Next, we would use the following formula to find the equation of the line;

y - y1 = m(x - x1)

Substituting into the formula, we have;

y - (-2) = -2(x - 2)

y + 2 = -2x + 4

y = -2x + 4 - 2

y = -2x + 2 = mx + c

8 0
3 years ago
Which statement describes the total amount a rewards customer pays for 10 ounces and 12 ounces of yogurt?
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Answer:

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3 0
3 years ago
What is the solution set of -xl = -10?
lorasvet [3.4K]

No solution since absolute value can't be equal to negative numbers

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2 years ago
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