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Rainbow [258]
3 years ago
8

Add, subtract, multiply, or divide the following fractions. Remember to find the LCD first.

Mathematics
1 answer:
Nat2105 [25]3 years ago
4 0

lcd 210

1/5=42/210

1/7=30/310

3/21=30/210

42+30+30=102/210

reduced 51/105

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-8(8 - x) = 4/5(x + 10)
Vedmedyk [2.9K]

Answer:

x = 10

Step-by-step explanation:

Solve for x:

-8 (8 - x) = (4 (x + 10))/5

Multiply both sides by 5:

-8×5 (8 - x) = (5×4 (x + 10))/5

(5×4 (x + 10))/5 = 5/5×4 (x + 10) = 4 (x + 10):

-8×5 (8 - x) = 4 (x + 10)

5 (-8) = -40:

-40 (8 - x) = 4 (x + 10)

Expand out terms of the left hand side:

40 x - 320 = 4 (x + 10)

Expand out terms of the right hand side:

40 x - 320 = 4 x + 40

Subtract 4 x from both sides:

(40 x - 4 x) - 320 = (4 x - 4 x) + 40

40 x - 4 x = 36 x:

36 x - 320 = (4 x - 4 x) + 40

4 x - 4 x = 0:

36 x - 320 = 40

Add 320 to both sides:

36 x + (320 - 320) = 320 + 40

320 - 320 = 0:

36 x = 40 + 320

40 + 320 = 360:

36 x = 360

Divide both sides of 36 x = 360 by 36:

(36 x)/36 = 360/36

36/36 = 1:

x = 360/36

The gcd of 360 and 36 is 36, so 360/36 = (36×10)/(36×1) = 36/36×10 = 10:

Answer:  x = 10

7 0
3 years ago
Find x.<br><br><br><br> Question 1 options:<br><br> 6<br><br><br> 3<br><br><br> 9<br><br><br> 12
Eduardwww [97]

Answer:18

Step-by-step explanation:

3 0
2 years ago
Nat's grocery bill was $150, which included a 5% club
Lemur [1.5K]

Answer:

12

Step-by-step explanation:

3 0
3 years ago
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What is the midpoint of the line segment with endpoints at (12,7)and (18,19)
Mrac [35]

Answer:

(15, 13)

Step-by-step explanation:

Midpoint is the half of the segment.

What I did to solve this was adding the two xs together to get 30 then find the average of 30 by dividing it by 2. This would give you 15

I did the same thing with the ys and got 13

hope this made sense

6 0
3 years ago
WORTH 61 points
mestny [16]

2*2 = 4

2+2 = 4

2-2 = 0

2 divided by 2 = 1

its the worlds easiest question

hope it helped u


6 0
3 years ago
Read 2 more answers
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