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Oxana [17]
4 years ago
6

Question: 5 of 36:. Alice bought 8\9 of a pound of grapes and ate 1\3 of a pound. How many pounds were left?. A. 8\6. B. 7\3. C.

7\9. D. 5\9.
Mathematics
2 answers:
Veronika [31]4 years ago
4 0
8/9 - 1/3 = 8/9 - 3/9 = 5/9
yawa3891 [41]4 years ago
3 0
In order to solve this question, you just need to equalize the denominator

in 8/9 , 8 is the numerator and 9 is the denominator
in 1/3, 1 is the numerator and 3 is the denominator

in order to change 1/3 into denominator 9, you just need to multiply both numerator and denominator with 3 , which give us :

1/3 = 3/9

now back to the question

Alice has 8/9 , and ate 3/9 of them, this will give us :

8/9 - 3/9 = 5/9 which is left

so the answer is option D

hope this helps


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Find the value of x and y
kotykmax [81]

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x = 8

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Step-by-step explanation:

By verticle angles theorem, the angles with the measure of ( 4x + 17 ), and the angles with the measure of ( y + 20 ) are equal.

Verticles angles theorem states, when two lines intersect, there are four angles formed. The angles opposite to each other will have the same measure or congruent measures.

Hence one can say that;

4x + 17 = y + 20

Inverse operations;

4x + 17 = y + 20

     -17          -17

4x = y + 3

-3      -3

4x - 3 = y

Assuming that lines "m" and "n" are parallel, then the angles with the measure of ( 5x + 9 ) and the angles with the measure of ( y + 20 ) are congruent.

When two lines are parallel and are intersected by another line (transversal line), then the angles that are alternate and interior are congruent, in other words,  the same measure.

Based on that, one can say;

5x + 9 = y + 20

Earlier it was found that;

y = 4x - 3

Now substitute that into the previous equation, and solve using simplification and inverse operations;

5x + 9 = 4x - 3 + 20

5x + 9 = 4x + 17

     -9          -9

5x = 4x + 8

-4x   -4x

x = 8

Back solve to find y

y = 4x - 3

y = 4(8) - 3

y = 32 - 3

y = 29

3 0
3 years ago
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