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Snowcat [4.5K]
3 years ago
13

82 = 4x + 14 solve for x

Mathematics
2 answers:
mamaluj [8]3 years ago
8 0

Answer: 15 = x

Step-by-step explanation: Don't be thrown off if your variable <em>x</em> appears on the right side of the equation. Just solve for <em>x</em> in the usual way by first isolating the <em>x</em> term which in this case is 4x.

Since 14 is being added to 4x we start by

subtracting 14 from both sides of the equation.

On the left, 82 - 14 is 68 and on the right, 14 - 14 cancels out.

So we have 68 = 4x.

To get <em>x</em> by itself since 4 is being multiplied by <em>x</em>,

divide both sides of the equation by 4.

On the left, 68 divided by 4 is 15 and

on the right, the 4's cancel.

So 15 = x.

34kurt3 years ago
6 0

Answer:

17

Step-by-step explanation:

82=4x+14

If you subtract 14 from both sides:

4x=68

Divide both sides by 4:

x=17

Hope this helps!

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Six pumps working together empty a tank in 28 minutes. How long will it take to empty the tank if 4
Katarina [22]

Answer:

prob more time ngl

Step-by-step explanation:

6 0
3 years ago
Jason has 34 blueberry scones and 85 raspberry scones. There is 17 bags of scones each filled with an equal amount of blueberry
ozzi

Answer:

2 blueberry and 5 raspberry scones go in each bag

Step-by-step explanation:

34+85=119

119/17=7

34/85= 2/5

so 2 blueberry and 5 raspberry scones go in each bag

hope that helps :)

8 0
2 years ago
Read 2 more answers
Lalasa and yasmin are designing a triangular banner to hang in the school gymnasiums. They first draw the design on paper. The t
jasenka [17]
<span>The triangle on paper is 5 inches wide by 7 inches high.</span><span>
</span><span>
If 1 inch on paper is equal to 1.5 feet on paper, then you need to multiply all dimensions by 18 because 1.5 feet is equal to 18 inches and you are getting 18 inches on the real banner for every inch on the paper banner. </span><span>

5 * 18 = 90 inches from the base of the rear triangle.</span><span>
7 * 18 = 125 inches for the height of the rear triangle. </span><span>
</span><span>The area of the paper triangle will be 5 * 7 / 2 = 35/2 square inches.</span><span>
The area of the rear triangle will be 90 * 125 / 2 = 5625 square inches. </span><span>

regarding feet: 

The base of the real banner will be 125/12 = 10.41666666....... feet.</span><span>
the height of the real banner will be 90 / 12 = 7.5 feet.</span><span>
the area of the real banner will be 5625 / 12^1 = 5625 / 144 = 39.0625 square feet.</span><span>
</span>

3 0
3 years ago
Need help (midpoints)
Zinaida [17]

Answer:

5

Step-by-step explanation:

i know it

5 0
2 years ago
In a triangle ABC, measure of angle B is 90 degrees. AB is 3x-2 units and BC is x+3. If the area of the triangle is 17 sq cm, fo
Scorpion4ik [409]

Answer:

x=\frac{8}{3}\ cm

Step-by-step explanation:

we know that

The area of the right triangle ABC is equal to

A=\frac{1}{2}(AB)(BC)

we have

A=17\ cm^2

AB=(3x-2)\ cm

BC=(x+3)\ cm

substitute the values

17=\frac{1}{2}(3x-2)(x+3)

34=(3x-2)(x+3)

34=3x^2+9x-2x-6

3x^2+7x-6-34=0

3x^2+7x-40=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

3x^2+7x-40=0

so

a=3\\b=7\\c=-40

substitute in the formula

x=\frac{-7(+/-)\sqrt{7^{2}-4(3)(-40)}} {2(3)}

x=\frac{-7(+/-)\sqrt{529}} {6}

x=\frac{-7(+/-)23} {6}

x=\frac{-7(+)23} {6}=\frac{16}{6}=\frac{8}{3}

x=\frac{-7(-)23} {6}=-5

therefore

The solution is

x=\frac{8}{3}\ cm

6 0
3 years ago
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