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
kondor19780726 [428]
3 years ago
13

10 Six years ago Jon was one-sixth the age of his mother

Mathematics
1 answer:
Debora [2.8K]3 years ago
7 0

Answer:

Jon is 11 years old

Step-by-step explanation:

We write the following equations describing the sentences of the problem, using the letter M to represent Jon's mom's current age, and j to represent his current age.

First sentence: "<em>Six years ago Jon was one-sixth the age of his mother</em>."

translates into:

J - 6 = (M - 6) / 6

Second sentence: "<em>in four years time his age doubled and increased </em>

<em>by 10 will match his mother's age</em>."

2 * (J + 4) + 10 = M + 4   which removing parentheses gives: 2 J + 18 = M + 4

We solve for "M" in the first equation

6 (J - 6) = M - 6

6 J - 36 = M - 6

M = 6 J - 30

and now use this result to substitute for M in the second equation

2 J + 18 = (6 J - 30) + 4

and work on solving for J

2 J + 18 = 6 J - 30 + 4

18 + 26 = 6 J - 2 J

44 = 4 J

J = 44 / 4

J = 11

You might be interested in
Solve for x. 7 – 4x = 31 A. x = 6 B. x = 9.5 C. x = –6 D. x = –9.5
Eduardwww [97]

7-4x= 31

Bring over 7 to the other side

Positive 7 changes into negative 7

7-7-4x= 31-7

-4x= 24

Divide by -4 for -4x and 24

-4x/-4= 24/-4

x= -6

Check answer by using substitution method

7-4x= 31

7-4(-6)= 31

7+24= 31

31= 31

Answer : C. x= -6

5 0
3 years ago
Read 2 more answers
The product of 1 1/2 and 2 is less than, equal to, or greater than 2
Rus_ich [418]

Answer:

The answer is 1 1/2 < 2

Step-by-step explanation:

If we convert 1/2 into a decimal, we would get .5. Add that to 1 and we get 1.5. Therfore, 2 > 1.5

3 0
3 years ago
A line passes through the point (-6, 6) and (-6, 2). In two or more complete sentences, explain why it is not possible to write
Galina-37 [17]
Try writing it in point-slope form and you will see why you have a problem.

slope m is equal to (y2-y1)/(x2-x1):

m = (y2-y1)/(x2-x1) = (2-6)/(-6 - -6) = -4/0

The denominator has a zero, so it is undefined.

Since the point-slope form requires "m" to be defined, you can't write the equation of the line using point-slope form.


7 0
3 years ago
Damon plans to buy a snowboard that cost $160. Damon has $40. He will save $20 each week until he has enough to buy the snowboar
Gekata [30.6K]

Answer:  It will take Damon 6 weeks to save the money he needs to buy the snowboard

Step-by-step explanation:

First, let's see what the problem is giving us:

-The variable X will represent the number of weeks it will take Damon to save the money he needs.

- Damon has $40

- Damon is going to safe $20 weekly

- The snowboard costs $160

Therefor:

Our equation will be:  $40 + $20X = $160

Step 1

We need to isolate the variable by subtracting in both sides of the equation 40 in order to maintain the equality.

40 - 40 + 20X = 160 - 40

This will let us with 20X = 120

Step 2

We have to isolate the variable again, but this time (because the variable is being multiplied by 20) we have to divide on both sides of the equation.

20X/20 = 120/20

Therefore: X=6

<u />

4 0
3 years ago
Read 2 more answers
Vocabulary Is every relation also a function? Explain.
mash [69]

Answer:

It is B

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • How do you solve -3log5x=-6?
    14·1 answer
  • Under the onslaught of the College Algebra second period class, a pile of homework problems decreased exponentially. It decrease
    13·1 answer
  • What is 1/3+7/8 equal to?
    14·2 answers
  • Convert 794mm into m​
    10·1 answer
  • Which best describes the strength of the model?
    12·1 answer
  • APML - ATAQ. Solve for x and QR<br><br> HELP ASAP!!!!! PLZZZZZ
    11·1 answer
  • Number 4<br><br><br> I WILL MARK BRAINLIEST
    13·1 answer
  • ASVAB Test<br><br> I need help studying!! Any suggestions?
    8·1 answer
  • Find m1 and m2 . Tell which theorem can be used.<br><br> m1 =<br> by the…<br> m2 =<br> by the…
    11·1 answer
  • Use the substitution method to determine the solution to the system of equations below. y-2x+2=1 6x-3y=3​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!