My mother is 12 years more than twice my age.after 8 years she will be 20 years less than three times my age...find my age and my mothers age Hi I would like you to tell me step by step how you did it (the equation) please

Answers

Answer 1
Answer: Hello,

m is the mother 's age
a is your age

My mother is 12 years more than twice my age. ==>m=2a+12 (1)


after 8 years she will be 20 years less than three times my age:

in 8 years: mother 's age=m+8
your new age: a+8

m+8=3*(a+8)-20 (2)

m=2a+12 (1)
(2a+12)+8=3*(a+8)-20 (for (2))
==>2a+20=3a+24-20
==>3a+4=2a+20
==>3a-2a=20-4
==>a=16 (your age )

m=2a+12=2*16+12=32+12=44

Proof: m=2a+12==>44=2*16+12
m+8=3(a+8)-20==>44+8=3(16+8)-20 ==>52=72-20



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Mrs. aviles is planning a fruit-cup party for a class of 18 students and two teachers. She spends $10 for a package of snacks and also takes orders in advance for fruit cups that cost $3 each. 1. describe the domain of the function both in words and numbers?
2. what is the range?

Answers

Answer:

domain is x = 3

Thus domain means that for every fruit cup costs $3

Range is f(20) = 60

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We are given;

Total students for the fruit cup party = 18

Total teachers for the fruit cup party = 2

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Delivery charge = $ 10

Now, the total number of people attending the party = Total number of students + Total number of teachers

Thus;

Total number of people attending party = 18 + 2 = 20

Since cost of each fruit cup is $3.

Thus, for 20 fruit cups, the function is;

f(x) = 20x where x is cost of each fruit cup.

It means the cost of 20 fruit cups = $3 × 20 = $60

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Thus domain means that for every fruit cup costs $3

Range is f(20) = 60

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Answers

A triangle with 2 congruent sides is an ISOSCELES triangle.

Answer: Isosceles

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Answer:

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Answers

Answer:

(-6,-4)

Step-by-step explanation:

to get to -4 from 2 you have to subtract 6, making the slope x/6 but you said the slope is 3/2. divide 6 by 2 and you get 3. 3x3=9 making the slope 9/6. simplify and you get 3/2

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What is the area of the square??

Answers

The length of each side is 32

The area is 256
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Answers

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-----------------add
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x = -2

solution is (-2,-3)