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lorasvet [3.4K]
3 years ago
10

Solve . - 3a + 8 = 14

Mathematics
1 answer:
zysi [14]3 years ago
5 0

Answer:

a = -2

Step-by-step explanation:

-3a + 8 = 14

First you want to combine the constants by subtracting 8 from both sides.

-3a = 6

Now you want to isolate a by dividing both sides by -3.

a = -2

Check your answer by plugging -2 back into the equation.

-3(-2) + 8 = 14

6 + 8 = 14

14 = 14

Your answer is correct.

Hope this helps!

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The students in the fourth and fifth grades are going to a concert. There are 178 students. Each row has 8 seats. The fifth grad
nexus9112 [7]

Answer:


Step-by-step explanation:  So there are 148 students total and we know the fifth graders filled up 12 rows and since each row has a number of 8 seats we should multiply 8 times 12, which is equal to 96. Now in order to find the number of rows needed for the fourth graders we should first, subtract 178 minus 96; that is equal to 82. Next, we should divide 82 by the number of seats in each row since what we are trying to find id the number of rows needed for the fourth graders. So, we should divide 82 by 8 which is equal to 10. 25.

The number of rows needed is 11 since all students need to have a seat; the answer cannot be 10 because that means a few students would not have a seat.



8 0
3 years ago
If two lines are parallel and they are defined by the equations, y=4x-5 and y=ax+2, what is the value of a?
tino4ka555 [31]

Answer:

a=\dfrac{4x-7}{x}

Step-by-step explanation:

The equations of lines are :

y=4x-5 and y=ax+2

From above equations,

4x-5 = ax+2

4x-ax = 5+2

4x-7 = ax

a=\dfrac{4x-7}{x}

So, the value of a is equal to \dfrac{4x-7}{x}.

6 0
3 years ago
A rectangle has a length that is 18 feet more than the width. The area of the
Archy [21]

Answer:

For a rectangle of length L and width W, the area is:

A = L*W

In this case, we know that;

The length is 18ft more than the width.

L = W + 18ft

The area is 175 ft^2

Then:

A = 175 ft^2

Then we have a system of two equations:

L = W + 18ft

A = L*W = 175 ft^2

To solve this, the first step would be to replace the first equation into the second one:

(18ft + W)*W = 175ft^2

Now we can solve this for W.

18ft*W + W^2 - 175ft^2 = 0.

This is the quadratic equation, i will solve it just to be complete.

We have a quadratic equation, using the Bhaskara formula we can find the two solutions as:

w = \frac{-18ft +- \sqrt{(18ft)^2 - 4*1*(-175ft^2)} }{2*1} = \frac{-18ft +- 32ft}{2ft}

Then the two solutions are:

W = (-18ft - 32ft)/2 = -25ft    (This option can be discarded, because a                negative width has no sense)

W = (-18ft + 32ft)/2 = 7ft

Then the width is 7ft long, and the lenght will be:

L = W + 18ft = 7ft + 18ft = 25ft

3 0
3 years ago
Frank purchased an air conditioner for $3000. Its value depreciates at a rate of 8% each year. How much will the air conditioner
Lina20 [59]

Answer:

$2280

Step-by-step explanation:

Given: Cost of Air conditioner= $3000.

            Rate of depreciation= 8%

            Number of year= 3 years.

Now, finding the depreciation for 3 years.

Depreciation= \frac{Cost\ of\ air\ conditioner\times rate\ of\ depreciation\times years}{100}

Amount of depreciation= \frac{\$ 3000\times 8\times 3}{100} = \$ 30\times 24

∴ Amount of depreciation in 3 years is $720.

Cost of Air conditioner after 3 years= Original\ cost - Amount\ of\ depreciation

⇒ Cost of Air conditioner after 3 years= \$ 3000-\$ 720= \$ 2280.

∴ Cost of Air conditioner in 3 years is $2280.

5 0
3 years ago
Read 2 more answers
Find ordered pair solution x= -5 (7, -5) (-5, 0) (-5, 6)
antoniya [11.8K]

Answer:

The correct answer is either (-5,0) or (-5,6)

Step-by-step explanation:

An ordered pair is described as (x,y)

Since x=-5, the last two work just fine, but we don't have a y-coordinate value, so I'm not sure on the details of that

7 0
3 years ago
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