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leva [86]
3 years ago
15

What is the Coefficient in the following expression: 10+4a−3

Mathematics
1 answer:
Valentin [98]3 years ago
6 0

Answer:

4

Step-by-step explanation:

Coefficient is the number next to the variable, making it 4.

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A wallet contains $460 in $5, $10, and $20 bills. The number of $5 bills exceeds twice the number of $10 bills by 4, and the num
Butoxors [25]

Answer:

Number of $5 bills = 32

Number of $10 bills = 14

Number of $20 bills = 8

Step-by-step explanation:

Let x number of $5, y number of $10 and z number of $20

The number of $5 bills exceeds twice the number of $10 bills by 4.

Therefore, x = 2y + 4

The number of $20 bills is 6 fewer than the number of $10 bills.

Therefore, z = y - 6

A wallet contains $460 in $5, $10, and $20 bills.

Therefore,

5x + 10y + 20z = 460

Substitute x and y into equation

    5(2y+4) + 10y + 20(y-6) = 460

10y + 20 + 10y + 20y - 120 = 460

                           40y - 100 = 460

                                    40y = 460 + 100

                                    40y = 560

                                      y = 14

  • Put the value of y into x = 2y + 4 and solve for x

                                      x = 2(14) + 4

                                      x = 32

  • Put the value of y into z = y - 6 and solve for z

                                      z = 14 - 6

                                      z = 8

Hence, the each type of bills,

Number of $5 bills = 32

Number of $10 bills = 14

Number of $20 bills = 8

3 0
3 years ago
Read 2 more answers
Four times the sum of a number and 15 is at least 120 let x represent the number
Dvinal [7]

Answer:

x <u>></u> 15

Step-by-step explanation:

4(x + 15) <u>></u> 120

Divide by 4

x + 15 <u>></u> 30

Subtract 15

x <u>></u> 15

3 0
3 years ago
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HELP ON MY LAST QUESTION
diamong [38]

Answer:

What is da question? >:|

Step-by-step explanation: WHATS DA QUESTION >:P

3 0
3 years ago
How many nickels will fit in a 2 liter bottle
Simora [160]
You can fit<span> 4679 dimes into a </span>2 liter bottle<span>.</span>
6 0
3 years ago
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Write the slope-intercept form of the equation of the line through the given points.
Yuri [45]
<h3>Answer:  y = 3x+4</h3>

Slope = 3

y intercept = 4

========================================================

Explanation:

Let's find the slope.

m = \text{slope}\\\\m=\frac{\text{rise}}{\text{run}}\\\\m = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{7-4}{1-0}\\\\m = \frac{3}{1}\\\\m = 3

The slope is m = 3.

The y intercept is b = 4 due to the point (0,4). The y intercept <u>always</u> occurs when x = 0.

We'll then plug those m and b values into y = mx+b to get the answer y = 3x+4

-----------

As a way to check the answer, plugging x = 0 should lead to y = 4

y = 3x+4

y = 3*0+4

y = 0+4

y = 4

So that works out. Let's try x = 1. It should produce y = 7

y = 3x+4

y = 3*1+4

y = 3+4

y = 7

That works out also. The answer is fully confirmed.

4 0
2 years ago
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