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Ilia_Sergeevich [38]
3 years ago
11

If 9p = 3a + 1 and 7p = 2a - 3, then which of the following expresses p in terms of a

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
5 0
Ans=
9p-7p=3a+1-(2a-3)
=2p=3a+11-2a+3
=2p=a+4
=p=(a+4)/2

Ans is (a+4)/2

-Jing
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Drag the tiles to the correct boxes to complete the pairs. Match each word problem to its solution. Seven more than 3 times a nu
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Answer: (A) The number is 14

(B) Lily is 16 years old

(C)The number is 35

(D) The wallet cost $20

Step-by-step explanation: (A) Let the number be a. Three times the number is equal to 3 times a, or 3a. Seven more than 3a equals 49, that means

7 + 3a = 49

Subtract 7 from both sides of the equation

3a = 42

Divide both sides of the equation by 3

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(B) Let Hillary's age be h and Lily's age be l, so if Hillary's age is 3 years greater than Lily's age, then we have

h = 3 + l

Then if Hillary's age is now given as 19, the equation becomes

19 = 3 + l

Subtract 3 from both sides of the equation

16 = l

Lily's age is 16

(C) Let the number be x, and so twice the number becomes 2 times x which is 2x. Twice the number decreased by 20 is 50, becomes

2x - 20 = 50

Add 20 to both sides of the equation

2x = 70

Divide both sides of the equation by 2

x = 35

The number is 35

(D) Let each handbag be represented by b and each wallet be represented by w. The cost of each handbag is 10 more than the wallet, so if the wallet cost w, then the handbag would cost w + 10. This can be expressed as

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If she spent a total of 60 for the 2 handbags, then each handbag would cost 60 ÷ 2 which equals 30 per handbag. Substituting for the known value we now have,

30 = w + 10

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Step-by-step explanation:

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Answer:

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Consider the steps below;

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