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s344n2d4d5 [400]
3 years ago
5

Maggie's brother is 9 years younger than three times her age. The sum of their ages is 43. How old is Maggie?

Mathematics
1 answer:
bekas [8.4K]3 years ago
5 0

Answer:

Maggie's age is 13 years

Step-by-step explanation:

Let

x ------> Maggie's brother age

y ------> Maggie's age

we know that

x+y=43 ------ > equation A

x=3y-9 ------> equation B

substitute equation B in equation A and solve for y

(3y-9)+y=43

4y=43+9

4y=52

y=13

therefore

Maggie's age is 13 years

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2x² + 5x -6x - 15 = 0

2x² - x - 15 = 0

2x² -x = 15

x = 3

3 x 3 = 9 x 2 = 18 - 3 = 15

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3 years ago
BRAINLIEST ASAP!!!!!!!<br><br> why is it useful to factor out the gcf first when factoring
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By pulling out the common factors for each pair of terms, we can rewrite the original polynomial like this:
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2 years ago
A store pays a manufacturer $20 for a hat. To make a profit, the store prices the hat 60% higher than the amount they paid. Late
Molodets [167]

Answer:

The clearance price is $17.28.

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Step-by-step explanation:

We have been given that a store pays a manufacturer $20 for a hat. To make a profit, the store prices the hat 60% higher than the amount they paid.

The price of the hat after increasing the price by 60% will be:

\text{Price of the hat after an increase of 60\%}=20+(\frac{60}{100}*20)

\text{Price of the hat after an increase of 60\%}=20+(0.60*20)

\text{Price of the hat after an increase of 60\%}=20+12

\text{Price of the hat after an increase of 60\%}=32

So, the price of hat after the increase of 60% will be $32.

As the sale reduces the price of hat by 10%, so the price of hat after sale will be:

\text{Price of the hat after sale of 10\%}=32-(\frac{10}{100}*32)

\text{Price of the hat after sale of 10\%}=32-(0.10*32)

\text{Price of the hat after sale of 10\%}=32-3.2

\text{Price of the hat after sale of 10\%}=28.8

So the price of hat after 10% sale will be $28.8.

As the clearance sale reduces the price by 40%, so price of hat after clearance sale will be 28.8 minus 40% of 28.8.

\text{Price of the hat after clearance sale}=28.8-(\frac{40}{100}*28.8)

\text{Price of the hat after clearance sale}=28.8-(0.40*28.8)

\text{Price of the hat after clearance sale}=28.8-11.52

\text{Price of the hat after clearance sale}=17.28

Therefore, the clearance price is $17.28.

As store has purchased the hat from manufacturer for $20 and sold it $17.28, therefore, the store will not have a profit.

7 0
2 years ago
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murzikaleks [220]

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Answer:

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Step-by-step explanation:

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