8 times the difference between a number and 6 is equal to 4 times the number.
2 answers:
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 :
Divide both sides by 4 , we gte
Simplify
Multiply 2 inside the parenthesis.
Subtract x and add 12 on both sides , we gte
Simplify
Hence, the number is <u>12</u>.
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Maya travels faster than Kelly !
Difference in distance is :
<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.
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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.
⇒
⇒
⇒
Therefore , Difference in distance is :
Now , Speed of both is give by
⇒ And ,
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Faster Maya travels = 8.90-4.71 = 4.19
So , Maya travels faster than Kelly !