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yaroslaw [1]
3 years ago
14

Solve the following proportion. х 42 35 10

Mathematics
1 answer:
anzhelika [568]3 years ago
6 0

Answer:

12

Step-by-step explanation:

The proportion is equal to \frac{x}{10}=\frac{42}{35}

We can simplify the right side by dividing by 7/7 to get the right side equal to 6/5. Now we can cross-multiply to get

60=5x

Dividing both sides by 5, we have the answer as

x=12

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Judy is now twice as old as Adam, but 6 years ago, she was 5 times as old as he was. How old is Judy now?
qaws [65]

Answer:

Judy is 16 years old

Step-by-step explanation:

J = Judy's age

A = Adams age

J = 2A

Six years ago   (subtract 6 from the ages)

(J-6) = 5*(A-6)

Distribute

J-6 = 5A - 30

Substitute J = 2A

2A -6 = 5A -30

Subtract 2A from both sides

2A-2A -6 = 5A-2A -30

-6 = 3A -30

Add 30 to each side

-6+30 = 3A-30+30

24 = 3A

Divide by 3

24/3 = 3A/3

8 = A

Adam is 8 years old now

We need to find Judy's age

J = 2A

J = 2*8

J = 16

Judy is 16 years old

8 0
4 years ago
Please help asap on 1, 2 & 3!! I will mark you as brainliest!!
ira [324]

Answer:

18. C

19.A

20. C

Step-by-step explanation:

18.

x< 15 where x is the average that each person contributes.

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19. simple algebra

a <= -4 + 7

a <= 3

20.

since u divide and the co efficient is negative u flip the sign

-3m<15

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6 0
3 years ago
Use ΔPQR below to answer the question that follows: Triangle PQR with sides PR and QR intersected by segment ST. Which fact is n
Aleonysh [2.5K]
Hello there,

"<span>RP" is a traversal line.
</span>
This would result that  it would be passing through "ST and PQ."

Hope this help's.

~Jurgen
3 0
3 years ago
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Patty made a banner that has an area of 112 square inches. The length and width of the banner are whole numbers. The length is 7
il63 [147K]

Answer:

The width of the banner is 4 inch and the length of the banner is  28 inch

Step-by-step explanation:

Given

Length is seven times its width

Let the width be "X", then length would be 7X

The banner is of rectangular shape.

Its area is 112 square inches

X* 7X = 112\\7X^2 = 112\\X^2 = 16\\X = 4

Hence, the width of the banner is 4 inch and the length of the banner is 4*7 i.2 28 inch

6 0
3 years ago
A 40<br> B 160<br> C 80<br> D 60
IceJOKER [234]

Answer:

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Step-by-step explanation:

6 0
4 years ago
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