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artcher [175]
2 years ago
10

8 times the difference between a number and 6 is equal to 4 times the number.

Mathematics
2 answers:
iVinArrow [24]2 years ago
8 0
8(x - 6) = 4x
Distribute.
8x - 48 = 4x
Subtract 8x from both sides.
8x -8x - 48 =4x -8x
Now you have...
-48 = -4x
Divide -4 by both sides.
-48/-4 = -4x/-4
12 = x
The number is 12.
Ipatiy [6.2K]2 years ago
6 0

Answer:  12

Step-by-step explanation:

Let the number be x.

Given statement: 8 times the difference between a number and 6 is equal to 4 times the number.

then, the required equation :

8(x-6)=4x

Divide both sides by 4 , we gte

\dfrac{8(x-6)}{4}=\dfrac{4x}{4}

Simplify

2(x-6)=x

Multiply 2 inside the parenthesis.

2x-12=x

Subtract x and add 12 on both sides , we gte

2x-x-12+12=x-x+12

Simplify

x=12

Hence, the number is <u>12</u>.

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3 years ago
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Maya travels  4.19 feet/sec faster than Kelly !

Difference in distance is : 106.76-56.52 = 50.24 feet

<u>Step-by-step explanation:</u>

Here we have , The Carousel in the National Mall has 4 rings of horses. Kelly is riding on the inner ring, which has a radius of 9 feet. Maya is riding on the outer ring, which is 8 feet farther out from the center than the inner ring is. We need to find In one rotation of the carousel, how much farther does Maya travel than Kelly . Let's find out:

Kelly is riding on the inner ring, which has a radius of 9 feet

Total distance traveled by Kelly is circumference of circle with radius 9 feet i.e.

⇒ Distance = 2\pi r

⇒ Distance = 2(3.14) 9

⇒ Distance = 56.52feet

Maya is riding on the outer ring, which is 8 feet farther out from the center than the inner ring .

Total distance traveled by Maya is circumference of circle with radius (8+9=17) feet i.e.

⇒ Distance = 2\pi r

⇒ Distance = 2(3.14) 17

⇒ Distance = 106.76feet

Therefore , Difference in distance is : 106.76-56.52 = 50.24 feet

Now , Speed of both is give by

⇒ Speed_k_e_l_l_y=\frac{56.52}{12} = 4.71 feet/sec   And ,

⇒ Speed_M_a_y_a=\frac{106.76}{12} = 8.90 feet/sec

Faster Maya travels = 8.90-4.71 = 4.19

So , Maya travels  4.19 feet/sec faster than Kelly !

3 0
3 years ago
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