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sesenic [268]
3 years ago
12

Solve the equation 3|4x+3|+8=17

Mathematics
1 answer:
pentagon [3]3 years ago
3 0

Answer:

x=-3/2 or x=0

Step-by-step explanation:

Subtract 8 from both sides

3|4x+3|+8-8=17-8

Simplify

3|4x+3| = 9

Divide both sides by 3

3|4x+3|/3 = 9/3

Simplify

|4x+3|=3

Apply absolute rule

4x+3=-3 or 4x+3=3

Solve

x=-3/2 or x=0

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Andy has 31 coins made up of quarters and half dollars, and their total value is $11.00. How many quarters does he have?
charle [14.2K]

Answer:

4

Step-by-step explanation:

This situation has two unknowns - the total number of half dollars and the total number of quarters. Because we have two unknowns, we will write a system of equations with two equations using the two unknowns.

  • h+q=31 is an equation representing the total number of coins
  • 0.50h+0.25q=11 is an equation representing the total value in money based on the number of coin. 0.50 and 0.25 come from the value of a half dollar and quarter individually.

We write the first equation in terms of q by subtracting it across the equal sign to get h=31-q. We now substitute this for h in the second equation.

0.50(31-q)+0.25q=11

15.5-0.50q+0.25q=11

15.5-0.25q=11

After simplifying, we subtract 15.5 across and divide by the coefficient of q.

-0.25q=-4.5

q=4

We now know of the 31 coins that 4 are quarters.

3 0
3 years ago
What is the measure of ∠A?
riadik2000 [5.3K]

Answer:

A = 60.07°

Step-by-step explanation:

Sin A = \frac{opposite}{hypotenuse}

Sin A = \frac{13}{15\\}

Sin A = 0.867

A = Sin⁻¹ 0.867

A = 60.07°

6 0
2 years ago
IF UR GOOD IN GEOMETRY THIS QUESTION IS FOR YOU !! PLEASE HELP I SUCK AT MATH !
wlad13 [49]
It is 2 I believe :)
3 0
2 years ago
On a particular day, the wind added 5 miles per hour to Jaime's rate when she was rowing with the wind and subtracted 5 miles pe
olga55 [171]

Answer:

45

Step-by-step explanation:

The first part of the question is to throw you off and is of no use

To find the answer you must find the midpoint of 30 and 60

which shall give you 45 and that is the answer to the question

Hope this helped you

3 0
3 years ago
Solve the inequality <br> a^2(a-4)(a+3)&gt;0
Marysya12 [62]
Use math papa it’s a good thing it’s on the browser
6 0
2 years ago
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