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
atroni [7]
3 years ago
15

Dawn has been using two bank accounts to save money for a car. the difference between account 1 and account 2 is $100. if she us

es 3/8 of account 1 and 7/8 of account 2, dawn will have a down payment of $2,000. solve the system of equations to find the total amount of money dawn has in each account. a – b = 100 a b = 2,000 dawn has $ in account 1 and $ in account 2.
Mathematics
2 answers:
asambeis [7]3 years ago
8 0
1) name the variables:

 - amount in account 1 "a"
 - amount in account 2 "b"

2) trtanslate the statements into equations:

<span>- the difference between account 1 and account 2 is $100.

=> a - b = 100

-  if she uses 3/8 of account 1 and 7/8 of account 2, Dawn will have a down payment of $2,000.

=> (3/8)a + (7/8)b = 2000

3) solve the system of equations

(1) a - b = 100
(2) (3/8)a + (7/8b) = 2000

Steps:

- multiply equation (1) by 7 and equaton (2) by 8

=>

(1) 7a - 7b = 700
(2) 3a + 7b = 16,000

- add the two equations

=>

7a + 3a - 7b + 7b = 700 + 16,000

- combine like terms:

10a = 16,700

- divide by 10:

a = 16,700 / 10 = 1670

- use equation (1) to find b:

a - b = 100 => b = a - 100 = 1670 - 100 = 1570

Answer: Dawn has $ 1670 in account 1 and $ 1570 in account 2. </span>
Alinara [238K]3 years ago
7 0

Answer: Dawn has $1670 in account 1 and $1570 in account 2.

hope this is helpful (:

You might be interested in
THIS IS FOR 15 POINTS PLEASE HELP. FIND THE Y INTERCEPT AND SLOPE PLEASE
labwork [276]

Answer:

Slope=1      

Step-by-step explanation:

I don't know the y intercept sorry

3 0
2 years ago
Solve the proportion x/8= 3/12. Please help.
galben [10]

Answer:

2

Step-by-step explanation:

\frac{x}{8}  =  \frac{3}{12}  \\  \\ x =  \frac{8 \times 3}{12}  \\  \\ x = \frac{24}{12}\\  \\ x = 2

5 0
3 years ago
(1,5) &amp; (3, 12) <br><br> Hi I don’t now what the answer is
tankabanditka [31]

Answer:

ummm Is that the full answer it's kinda confusing

8 0
3 years ago
Why do we use scientific notation, and what are the parts of an expression written in scientific notation?
Viefleur [7K]
We use scientific notation to make it easier to represent numbers very small to very large. EX: 6,000 Scientific Notation: 6^3

8 0
2 years ago
Read 2 more answers
Solve for x.
Ugo [173]

Area of rectangle = L × B

Where

L is length and B is breadth

A = x × 5

45 = x × 5

x =45 /5

x = 9/1

x = 9 (units)

4 0
2 years ago
Read 2 more answers
Other questions:
  • (2.5×10^−10)(7×10^−6)
    13·1 answer
  • A soft drink can has a diameter of 6 cm and a height of 11.5 cm. How much aluminum is used to make the can.
    15·1 answer
  • How many pairs of parallel faces are shown?<br><br><br> 3<br><br><br> 5<br><br><br> 4<br><br><br> 6
    10·2 answers
  • Find the next number in the number pattern 192,96,48,24
    9·1 answer
  • Why is <br> PLEASE HELP<br> 3x1/6x3
    6·2 answers
  • If I have line segmants with the measurements 3in, 5 in and 8 in; can I make a triangle?​
    13·1 answer
  • (-9) + (+3)=<br> in adding integers
    10·2 answers
  • PLEASE HELP ME I’m Stuck on this
    11·1 answer
  • Which expression is equivalent to 4(3n -5)?
    12·2 answers
  • Please help I will give brainliest.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!