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gregori [183]
2 years ago
11

Twice the sum of Paloma's age and 15 is 106. How old is Paloma?

Mathematics
2 answers:
Ivanshal [37]2 years ago
7 0

Answer:

121

Step-by-step explanation:

fredd [130]2 years ago
4 0

Answer: 121

Step-by-step explanation:

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Write a system of equations to model each situation. Solve using any method:
ivolga24 [154]

Answer:

a=50 b=20

Step-by-step explanation:

Call A and B the 2 present ages.

Ten years from now, A is twice as old as B -->

(A + 10) = 2(B + 10) (1)

Five years ago, A was 3 times as old as B -->

(A - 5) = 3(B - 5) (2).

Solve the system (1) and (2).

From (2) --> A = 3B - 15 + 5 = 3B - 10.

Replace this value of A into (1) -->

3B - 10 + 10 = 2B + 20 --> B = 20. Then,

A = 3B - 10 = 60 - 10 = 50.

Check

!0 years from now --> A = 60 and B = 30 --> A = 2B .OK

5 years ago --> A = 45 and B = 15 --> A = 3B. OK

6 0
2 years ago
Clodagh and Eva went school supply shopping together. Clodagh bought 3 packs of pencils and 5 notebooks for a total of $18. Eva
elena55 [62]

Answer:

each notebook costs $2.70

each pack of pencils costs $1.50

Step-by-step explanation:

system of equations:

let p = pack of pencils

let n = notebook

3p + 5n = 18

4p + 4n = 16.8

I used the elimination method by multiplying the first equation by 4 and the second equation by -3

4(3p + 5n = 18)  =  12p + 20n = 72

-3(4p + 4n = 16.8)  =  -12p -12n = -50.4

adding the new equations together you get:  8n = 21.6

n = 21.6/8

n = $2.70

solve for 'p':

3p + 5(2.7) = 18

3p + 13.5 = 18

3p = 4.5

p = $1.50

4 0
2 years ago
Please answer please
Mariulka [41]

Answer:

that's wrong

Step-by-step explanation:

so yesThese icons are frequently found in the Quick Launch area. (Choose all that apply) Show Desktop icon My Documents directory Recycle Bin Windows Media Player Internet Explorer. best new y jk lol idk what that is XD

6 0
3 years ago
Y +3=2<br> What is m and b
ELEN [110]
I think it’s -1 not sure
6 0
3 years ago
Read 2 more answers
What is the greatest common factor of 14, 51 ,21
nikitadnepr [17]

Answer:

The answer is 1

Step-by-step explanation:

14 = 2 × 7

51 = 3 × 17

21 = 3 × 7

4 0
2 years ago
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