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
Maslowich
3 years ago
10

Write a system of equations to model each situation. Solve using any method:

Mathematics
1 answer:
ivolga24 [154]3 years ago
6 0

Answer:

a=50 b=20

Step-by-step explanation:

Call A and B the 2 present ages.

Ten years from now, A is twice as old as B -->

(A + 10) = 2(B + 10) (1)

Five years ago, A was 3 times as old as B -->

(A - 5) = 3(B - 5) (2).

Solve the system (1) and (2).

From (2) --> A = 3B - 15 + 5 = 3B - 10.

Replace this value of A into (1) -->

3B - 10 + 10 = 2B + 20 --> B = 20. Then,

A = 3B - 10 = 60 - 10 = 50.

Check

!0 years from now --> A = 60 and B = 30 --> A = 2B .OK

5 years ago --> A = 45 and B = 15 --> A = 3B. OK

You might be interested in
Please help this is due tomorrow ​
tia_tia [17]
Danielle had a percent error of 13.6 (farthest)
Iris had a percent error of 6.8
HB has a percent error of -2.3 (closest)

So the order is HB, Iris, and then Danielle
7 0
3 years ago
What is 4z-3/z+6 when z = −3?
Ierofanga [76]
4(-3)-3/(-3)+6
-12-3/-3+6
-12+1+6
-12+7
-5
3 0
3 years ago
PLS PLS PLS HELP I WILL GIVE BRAINLIEST !!!!!!!!!!!!!!!!!!!
Aleksandr [31]

Answer:

More context please

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Kate earned $10 less this week than last week. This
Lisa [10]

Answer:

I ready hope you find the answer

Step-by-step explanation:

4 0
2 years ago
Solve for the indicated variable.
Hunter-Best [27]

Answer:

<h3><u>1.</u>)</h3>

3n + 1 = 7n - 5

1 + 5 = 7n - 3n

6 = 4n

3/2 = n

<h3><u>2</u><u>.</u>)</h3>

2[x + 3(x - 1)] = 18

2[x + 3x - 3] = 18

2(4x - 3) = 18

8x - 6 = 18

8x = 12

x = 12/8

x = 3/2

<h3><u>3</u><u>.</u>)</h3>

6(y + 2) - 4 = -10

6y + 12 - 4 = -10

6y = -10 - 8

6y = -18

y = -3

<h3><u>4</u><u>.</u>)</h3>

2x² = 50

x² = 50/2

x = √25

x = 5

<h3><u>5</u><u>.</u>)</h3>

5 + 2(k + 4) = 5(k - 3) + 10

5 + 2k + 8 = 5k - 15 + 10

2k - 5k = -5 - 13

-3k = -18

k = 6

<h3><u>6</u><u>.</u>)</h3>

6 + 2x(x - 3) = 2x²

6 + 2x² - 6x = 2x²

-6x = 2x² - 2x² - 6

x = 1

<h3><u>7</u><u>.</u>)</h3>

2/3x - 18 = x/6

12(2/3x - 18 = x/6)

8x - 216 = 2x

8x - 2x = 216

6x = 216

x = 36

<h3><u>8.</u>)</h3>

x - 2/3 = 2x + 1/4

12(x - 2/3 = 2x + 1/4)

4x - 8 = 6x + 3

4x - 6x = 8 + 3

2x = 11

x = 11/2

<u>-TheUnknownScientist</u><u> 72</u>

3 0
3 years ago
Other questions:
  • What is the next term of 500, 100, 20
    6·2 answers
  • 1.5×10 to the negative sixth
    15·1 answer
  • What's the prime fractorization of 24
    13·1 answer
  • How to factor this equation
    6·1 answer
  • Is this table proportional or non-proportional <br> X 8,16,24,32 <br> Y 2,4,6,8
    8·1 answer
  • Any easy questions out there i can answer
    12·2 answers
  • The points (-1,r) and (2,1) lie on a line with slope -4 find the missing coordinate
    5·1 answer
  • Equal or not equal 6/12 and 5/8<br> equal<br> not equal
    13·1 answer
  • A Gallup survey of 2322 adults (at least 18 years old) in the U.S. found that 408 of them have donated blood in the past two yea
    6·1 answer
  • Both circles have the same center. What is the area of the shaded region?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!