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
sineoko [7]
3 years ago
8

Five years ago, Mrs. Merlin was 8 times as old as her son, Josh. The sum of their present ages is 46. If Mr. Merlin is one year

older than Mrs. Merlin, how old will Mr. Merlin be in two years from now?
Mathematics
1 answer:
Zanzabum3 years ago
4 0

Say that Mrs.Merlin's age was represented by x and Josh's age was represented by y. Therefore, as the sum of their ages is 46, x+y=46. Next, 5 years ago, Mrs. Merlin was 8 times as old as her son. To do this, we must first subtract 5 from each age to go to 5 years ago. Next, we must multiply Josh's age by 8 to get Mrs. Merlin's age, getting (y-5)*8=x-5


To make it a little neater, we can add 40 to both sides to get 8y=x+35. Subtracting x from both sides, 8y-x=35.

We then have two equations:

x+y=46

-x+8y=35.

If we add the two equations together using the elimination method, you'll notice that x is eliminated, so we have 9y=81. Dividing 9 from both sides to separate y, we get Josh's current age as 9. Next, since x+y=46, 9+x=46 and we can then subtract 9 from both sides to get Mrs. Merlin's age as 37. To get Mrs. Merlin's age in 2 years, we add 2 to her current age to get 39. Note that Mr. Merlin's age is not relevant because we need at least two pieces of information, and only one is given for him.


Feel free to ask further questions!

You might be interested in
Is -72.27 a integer yes or no
jonny [76]

Answer:  No.

Step-by-step explanation:

Integers are whole numbers. No fractions or decimals

3 0
3 years ago
Read 2 more answers
The Venn diagram is shown below​
Lelu [443]

n(A), n(B) and n(AnB) are given and n(AUB)'s complement is asked.

3 0
3 years ago
Solve for x 2x^2 + 7x -15 = 0
slava [35]

Answer:

x = 3/2, x = -5

Step-by-step explanation:

    2x² + 7x - 15 = 0

You're going to factor first using whichever method you prefer, but it's best to always start with GCF over any other method. In this case, this equation does not have one so we'll go with the Lie method and grouping method.

A quadratic is formulated to look like this:

    ax² + bx + c = 0

So to start factoring, we're going to multiply "a" and "c" to get -30.

Then, we are going to look at factors of -30 that will add up to "b" and in this case, 10 and -3 multiply to get -30 but also add up 7 so we plug those two numbers in.

    2x² + 10x - 3x - 15 = 0

Now, we are going to group them like so:

    (2x² + 10x)(-3x - 15) = 0

Finally, we can begin to break it down and find x.

    2x(x+5) - 3(x+5) = 0

You're doing this right, if the information in the parentheses match.

    (x+5)(2x-3) = 0

Set both (x+5) and (2x-3) to zero and solve.

x = 3/2 and x = -5

5 0
3 years ago
Please help!!!!!!!!!!!!!!
prohojiy [21]

Answer:

First graph is y = 2x +5 (you can tell by the intercept)

Second graph is y = -x + 1 (you can tell because it has a negative slope)

Third graph is y= 1/5x -2 (last option left, and you can tell by the intercept)

4 0
3 years ago
Choose the type of variation that relates the variables in the table. X=.5,2.1,3.5 Y=1,4.2,7 inverse variation direct variation
Natasha_Volkova [10]

Answer:

Maybe combined variation or direct. Those are two answers i came up with.

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Please help asap...…...…………………………………...
    5·1 answer
  • Which equation has real zeros corresponding to
    10·2 answers
  • The smith family bought a new tent for a camping tent
    12·2 answers
  • Evaluate 3 to the second power + (8 - 2 ) • 4 - 6/3
    6·1 answer
  • Which function is the result of vertically stretching ƒ(x) = x2 – 7 by a factor of 2 and translating it downward 5 units?
    5·1 answer
  • The sum of three consecutive even numbers is 48. what are the smallest of these numbers?
    10·2 answers
  • PLEASE HELP I WILL JIVE YOU 100 POINTS NEEDED ASAP
    10·2 answers
  • PLZ ANSWER THESE QUESTIONS HURRY UP PLZ I NEED THIS FINISHED COME ON
    13·2 answers
  • PENISPENISPENISPENISPENISPENISPENIS
    5·2 answers
  • Which expression is equivalent to 3√50 × √22 ?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!