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irina [24]
3 years ago
5

Solve the equation ​

Mathematics
1 answer:
UNO [17]3 years ago
4 0

Answer:

x = 10

Step-by-step explanation:

2x/3 + 1 = 7x/15 + 3

<em><u>(times everything in the equation by 3 to get rid of the first fraction)</u></em>

2x + 3 = 21x/15 + 9

<em><u>(times everything in the equation by 15 to get rid of the second fraction)</u></em>

30x+ 45 = 21x + 135

<em><u>(subtract 21x from 30x; subtract 45 from 135)</u></em>

9x = 90

<em><u>(divide 90 by 9)</u></em>

x = 10

<h2>Another solution:</h2>

2x/3 + 1 = 7x/15 + 3

<u><em>(find the LCM of 3 and 15 = 15)</em></u>

<u><em>(multiply everything in the equation by 15, then simplify)</em></u>

10x + 15 = 7x + 45

<u><em>(subtract 7x from 10x; subtract 15 from 45)</em></u>

3x = 30

<em><u>(divide 30 by 3)</u></em>

x = 10

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Arturiano [62]
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Then, to work out the area of a circle, you use the equation πr² to help you. You would multiply π by the radius², which is 16. Now you have just worked out the area of a circle, but not a semicircle, so you would have to divide your answer by two to get the area of this, which would be 25.13 (rounded to 2 d.p).
To get the area of the whole shape, you just have to add the two totals together.
25.13 + 96 = 121.13ft.
Remember to put the units there, or you can lose marks.

Try your best with the next questions! I have written the formulas for the other shapes to help you work out the answers.

Area of a square = Multiply sides together.
Area of rectangle = Multiply width by length.
Area of a circle = Multiply π by the radius².
Area of a semicircle = Multiply π by the radius², and the divide by two.
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Really hope this helps!

3 0
4 years ago
Read 2 more answers
Question what is the unit rate for miles per gallon
finlep [7]

Answer:

41 miles per hour

Step-by-step explanation:

This is a fraction equal to

41 miles ÷ 1 gallon

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 1

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8 0
3 years ago
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Pavlova-9 [17]
Choice 3 c=400t

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3 0
3 years ago
Please hurry it almost due
kolezko [41]

Answer: -18 - -18

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5 0
3 years ago
-1\2x+1y=3/4, y-2x=3 , do I divide all the  fractions by 4 to get rid of the fraction  or by 2?
Law Incorporation [45]
You <em>multiply</em> both sides of the first equation by  4.
Then you have . . .
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If you want to get rid of a fraction, you multiply it by itsdenominator.
BUT ... whatever you do to one term on one side of the equation, you
have to do the same to <em>all</em> the terms on that side, AND then you have to
do the same thing to all the termson the OTHER side.
4 0
3 years ago
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