1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Otrada [13]
2 years ago
13

A woman is now 8 times as old as her son Michael. Two years ago, she was 15 times as old as Michael. Form an equation and solve

it.
Mathematics
2 answers:
Goshia [24]2 years ago
8 0
W = the woman's age
m = michael's age

8m = w
15(m -2) = (w-2)

15(m - 2) = (8m - 2)
15m - 30 = 8m - 2
15m - 8m - 30 = 8m - 8m - 2
7m - 30 = -2
7m - 30 + 30 = -2 + 30
7m = 28
m = 4

8m = w
8(4) = w
32 = w

w = 32 years old
m = 4 years old
Delvig [45]2 years ago
5 0

-- Let's call Michael's age 'S'  (for 'son')

-- Right now his mother's age is 8 times his age ... 8s

-- Two years ago ...

                   son was (S - 2) years old

                   mother was  (8s -2) years old.

                   she was 15 times her son's age.

--  So          (8s - 2)  =  15(s - 2)    <=== this is the equation

                    8s - 2   =  15s - 30

                        - 2   =    7s - 30

                        28   =    7s

                          4   =     s        <=== this is the solution to the equation

-- Michael is  4  now.
   His mother is  (8s) = 32

-- Two years ago, Michael was  2 .
    His mother was (8s - 2) = 30

   30  = 15 x 2      yay !

You might be interested in
Given: m∠AEB = 45° ∠AEC is a right angle. Prove: bisects ∠AEC.
Musya8 [376]
If angle AEC is 90° and angle AEB bisects it and is 45° that right there proves that angle AEB bisects angle AEC
5 0
3 years ago
Kay scored above 90% on five of her math quizzes, 80% to 90% on fourteen of them, and 70% to 80% on two of them. What is the exp
Leya [2.2K]
In total, Kay took 5+14+2=21exams. she got 80%-90% on 14 of them. the probably is 14/21 which is 2/3. Therefore, the probability of Kay getting 80%-90% on her next exam is 2/3 or 66.6%
3 0
3 years ago
If f(x) = 5x, what is f–1(x)?
Verdich [7]
We are given f(x) = 5x
and we are to find inverse of f(x).

Step 1:
Replace f(x) by y.
So,

y = 5x

Step 2:
Isolate x
So,

x = y/5

Step 3:
Replace x by f'(y)
So,

f'(y) = y/5

Step 4:
Replace all occurrences of y by x.
So,

f'(x) = x/5

Therefore, the inverse of f(x) = 5x is f'(x) = x/5
7 0
3 years ago
Tamara has $42.00 to buy party decorations. She wants to buy 3 packs of party hats, 2 bags of balloons, and a banner
posledela

Answer:

Step-by-step explanation:

Add everything together then you get 22.02 and she could buy everything but you gotta figure out the other part b bc I’m stuck on it

7 0
3 years ago
Which of the following are operations in the algebra of sets?
postnew [5]

Answer:

Union and Intersection

Step-by-step explanation:

We know that the algebra of sets define the properties and laws of the sets.

The basic operations of sets are,

Union, Intersection, Complement of a set and Equality of sets.

Since, the operations addition, subtraction, multiplication and division are the basic arithmetic operations of numbers.

i.e. they are not in the algebra of sets.

So, we get that out of the given options, the operations in algebra of sets are Union and Intersection.

7 0
2 years ago
Other questions:
  • I need help with 15?????
    11·2 answers
  • I need helphdhhd;hhdhdjdjieieieiieieii
    8·1 answer
  • What is 4x[5] [testing this out]
    15·2 answers
  • when was the balloon at 250 ft ? make sure you describe all times when the balloon was at this height.
    10·1 answer
  • Prove, using the second derivative, that the general quadratic y= ax^2+bx+c, is:
    5·1 answer
  • If x= root 7+ root 6 /root 7-root 6 then find the value of (x+1/x)
    8·1 answer
  • A rectangular prism has a length of 10 cm and width of 5 cm. If the volume of the prism is 250 cm3 , find the height. (Volume of
    5·2 answers
  • Answer would be needed ! thanks
    11·2 answers
  • <img src="https://tex.z-dn.net/?f=%20a%E2%88%923%282a%E2%88%924%29%3D27%5C%20%20%5Ctextless%20%5C%20br%20%2F%5C%20%20%5Ctextgrea
    6·2 answers
  • Pets Plus and Pet Planet are having a sale on the same aquarium. At Pets Plus the aquarium is on sale for 30% off the original p
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!