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masya89 [10]
3 years ago
15

What is the value of x?

Mathematics
2 answers:
lara31 [8.8K]3 years ago
5 0

Hello from MrBillDoesMath!

Answer:

x = 12

Discussion:

From the diagram, the two triangles appear to be similiar. Then

28/7 =  (6x + 28)  /25

as the ratio of corresponding parts of similar triangle are  the same.

28/7 = (6x +28)/25           => simplify. 28/7 = 4

4 = (6x + 28)/25                => multiply both sides by 25

4*25 = 6x + 28                  => simplify, 4 * 25 = 100

100 = 6x + 28                    => subtract 28 from both sides

100 -28 = 6x                      => simplify. 100 - 28 - 72

72 = 6x                               => divide both sides by 6

72/6 = 12 = x

Thank you,

MrB

zzz [600]3 years ago
4 0
12 is the x value . To this problem
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An online bookstore sells all paperback books for x dollars each. Aidan bought 7 paperback books and spent $3.95 on shipping. Ni
rusak2 [61]

Answer:

Here's the answer

Step-by-step explanation

y= 18x+9.20

8 0
2 years ago
A paint company mixes it's paint with water to create more paint per gallon. They currently have ten gallon jugs which contain 1
Karo-lina-s [1.5K]
<h3>Answer:  1.25 gallons</h3>

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

Explanation:

They currently have ten gallon jugs that contain 10% water, so this means 0.10*10 = 1 gallon of the jug is water and the other 10-1 = 9 gallons is paint. This is assuming the cans are just paint and water.

The ratio of paint to water is 90:10 which reduces to 9:1

Often it helps to reduce as much as possible, but it's actually more handy in this case to keep it at 90:10 so you can see the two parts add back up to 100%

--------------

Let x be the amount of water we add. This amount is in gallons.

We start off with 1 gallon of water and it bumps up to 1+x gallons of water.

The overall amount of 10 gallons also bumps up to 10+x gallons.

We want a ratio of 80:20 this time, so we want 20 parts water and 80 parts paint. In other words, we want 20/(20+80) = 20/100 = 20% water

Divide (1+x) over (10+x) to get (1+x)/(10+x). This represents the fraction of water. We want this fraction to be equal to 0.20, which is the 20% water amount. It is also equal to 20/100.

--------------

(1+x)/(10+x) = 20/100

100(1+x) = 20(10+x) ... cross multiply

100+100x = 200+20x ... distribute

100x-20x = 200-100

80x = 100

x = 100/80 ... divide both sides by 80

x = 1.25

You need to add 1.25 gallons of water

--------------

If you add 1.25 gallons of water, then,

amount of water = 1+x = 1+1.25 = 2.25

amount of paint&water = 10+x = 10+1.25 = 11.25

So you'll have 2.25 gallons of water out of 11.25 gallons of water&paint mix

2.25/11.25 = 0.2 = 20% water

This confirms our answer.

--------------

Extra info:

1.25 gallons = 1 gallon + 1/4 gallon

1.25 gallons = 1 gallon + 1 quart

This is because 1 gallon = 4 quarts, so 1 quart = 1/4 gallon.

5 0
3 years ago
25 points. Similarity in triangles
Helen [10]
◆ Triangles ◆

Heya !

Check the attachment.
Hope it helps you ;)

3 0
3 years ago
2
kotykmax [81]

Answer:

16.5 hours

Step-by-step explanation:

The bicycle costs $240.  Eva already has $42.  She is making $12 per hour.

240 = 12x + 42

Solve for x to find out how many hours Eva needs to work to buy the bicycle.

240 = 12x + 42

240 - 42 = (12x + 42) - 42

198 = 12x

198/12 = (12x)/12

16.5 = x

Eva needs to work 16.5 hours to be able to buy the bikw.

6 0
3 years ago
What is the answer to -3/4 (2)(-6) in fraction form
nasty-shy [4]

I'm assuming the question looks like this?

\frac{-3}{4} (2)(-6)

If so then the answer should be:

\frac{-3}{4} (2)(-6)=\frac{-3}{4} (-12)=9

Hope this helps!

4 0
3 years ago
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