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motikmotik
3 years ago
9

9) If two ropes measure 3 2/3 yards and 8/9 yard, how much longer is the first

Mathematics
1 answer:
jenyasd209 [6]3 years ago
3 0
Think of two ropes next to each other. Draw a picture if it helps. To find how much longer, start with the longer one and subtract the shorter length to get the difference, or “how much longer.”
To subtract fractions they have to be changed to the same denominator. First change 3 2/3 to a complex fraction; multiply the coefficient 3 times the denominator 3, then add the numerator. 3X3=9. 9+2=11 . 11 is now numerator, use same denominator. So you get 11/3. Then change denominator to 9. To do this you have to multiply by what? You would multiply by 3. Do the same to the numerator: 11 X 3=33. The fraction becomes 33/9. Now you can subtract. Now that both have the same denominator, you just subtract the numerators. 33-8=25. So, 33/9-8/9= 25/9
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this year benny is 12 years old and his mom is 48 years old, what percent of Benny's age is his mom's age?​
jolli1 [7]
25% should be correct
3 0
3 years ago
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Select the correct answer. (Remember there will be a length, width and height and they are all different numbers).
Bogdan [553]
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3 years ago
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Three times one number added to five times another number is 54. The second number is two less than the first. Use a system of e
worty [1.4K]

Answer:

8 and 6

Step-by-step explanation:

If you use x for the first number, and y for the second, you get equations of 3x+5y=54 and x-2=y.

You can substitute the second equation into the first one to solve it. This gives 3x+5(x-2)=54.

The brackets can be expanded to 3x+5x-10=54. Collecting like terms makes it 8x-10=54.

Next, we add 10 to both sides. This gives 8x=64.

From there, we isolate the x by dividing both sides by 8, giving x=8.

To work out the second number, we can sub 8 for x in either equation (I'm using the second one as it's simpler).

This comes to y=8-2, therefore y=6.

**This content is simultaneous equations, which you may wish to revise. I'm always happy to help!

3 0
3 years ago
3) If you can buy one package of shallots for<br> $4, then how many can you buy with $12?
Olin [163]

Answer:

3.

Step-by-step explanation:

4$ = 1 pack

(think: what times 4 is 12? 3! so we need to muliply both sides of the equal sign by 3, so we can turn the 4 into a 12. Remember, what you do to on side, you must do to the other. )

4$ = 1 pack

*3  *3

12$ = 3 packs

so your answer is 3.

5 0
3 years ago
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A circle has a circumference of 18. It has an arc of 6. What is the central angle of the arc, in degrees?
irga5000 [103]

Answer:

Step-by-step explanation:

C=2πr

18=2×3.14×r

18=6.28r

r=2.88

Arc of a circle

A=®/360°πr

6=®/360°×3.14×r

®=239°

6

3 0
3 years ago
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