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Brums [2.3K]
4 years ago
13

What is the value of x​

Mathematics
1 answer:
Artemon [7]4 years ago
4 0

Answer:

45 degrees

Step-by-step explanation:

Angles on a straight line add up to 180 degrees.

Thus, x+3x=180

4x=180

Divide both sides by 4:

\frac{4x}{x} =\frac{180}{4}

x=45

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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
4 years ago
Read 2 more answers
Please help with this questions 45 POINTSSSS!
sergij07 [2.7K]

Answer:

Part A is 14

Step-by-step explanation:

7 0
4 years ago
Read 2 more answers
Solve this 3x - 5 = 2x +6
Vinil7 [7]

Answer:

ok so x=11

Step-by-step explanation:

5 0
3 years ago
Find the derivative of f(x) = negative 9 divided by x at x = -8.
marusya05 [52]

Answer:

f'(-8)=\frac{9}{64}

Step-by-step explanation:

Given the function

f(x)=\frac{-9}{x}

We can rewrite it as

f(x)=-9x^{-1}

Now we can apply the power rule

f'(x)=9x^{-2}

Now we can rewrite it

f'(x)=\frac{9}{x^{2} }

Now we can plug in x=-8

f'(-8)=\frac{9}{(-8)^{2} }\\f'(-8)=\frac{9}{64}

7 0
3 years ago
Why do you multiply before you add or subtract?
Anni [7]
The rule of pemdas states that you have to divide or multiply ( from left to right) before you add or subtract.
5 0
3 years ago
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