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
A rectangular pyramid. The rectangular base has a length of 10 inches and a width of 6 inches. 2 triangular sides have a base of
melisa1 [442]

Answer:

Answer:

a) The base of the rectangular pyramid shown has an area of

60 square inches

b) A triangular face with a base of 10 inches has an area of 28 square inches.

c) A triangular face with a base of 5 inches has an area of 17.75 square inches.

d) The total surface area of the pyramid is 151.5 square inches.

Step-by-step explanation:

a) Solving for question a, we were given the following parameters

A rectangular pyramid. The rectangular base has a length of 10 inches and a width of 6 inches

The formula used to calculate the rectangular base of a rectangular pyramid =

Length × Width

Where :

Length = 10 inches

Width = 6 inches

Rectangular base = 10 inches × 6 inches

= 60 inches²

Hence, the base of the rectangular pyramid shown has an area of 60 square inches

b) Solving for question b, we have the following values given:

2 triangular sides have a base of 10 inches and height of 5.6 inches.

First step would be to solve for one triangular side first.

The area of the one triangular side = (Base × Height) ÷ 2

= (10 inches × 5.6 inches) ÷ 2

= 56inches² ÷ 2

= 28 inches²

Therefore, for the 2 triangular sides, since they have the same base and height, the other side as well would be 28 inches².

A triangular face with a base of 10 inches has an area of 28 square inches.

c) Solving for question c, the following parameters are given:

2 triangular sides have a base of 5 inches and height of 7.1 inches.

We would be to solving for one triangular side first.

The area of the one triangular side = (Base × Height) ÷ 2

= (5 inches × 7.1 inches) ÷ 2

= 35.5 inches² ÷ 2

= 17.75 inches²

Therefore, for the 2 triangular sides, since they have the same base and height, the other side as well would be 17.75 inches².

A triangular face with a base of 5 inches has an area of 17.75 square inches.

d) Solving for d, it is important to note that, a rectangular pyramid has 5 faces and they are: The rectangular base and 4 triangular faces

The formula for the total surface area of the rectangular pyramid is given as

Total Surface Area of the rectangular pyramid = Rectangular Base + Area of Triangular Side A + Area of Triangular Side B + Area of Triangular Side C + Area of Triangular Side D + Area of Triangular Side E

Total Surface Area of the Rectangular Pyramid = 60 inches² + 28 inches² + 28 inches² + 17.75 inches² + 17.75 inches²

Total surface Area of the Rectangular pyramid = 151.5 inches²

The total surface area of the pyramid is 151.5 square inches.

Step-by-step explanation:

BRAINLIEST PLEASE?

3 0
3 years ago
Francine and Cheryl received equal scores on a test made up of multiple choice questions and an essay Francine got 34 multiple c
dem82 [27]

Answer: 2 points

Step-by-step explanation:

5 0
3 years ago
The temperature is -4 degrees at 6am and rises 13 degrees by midday. What is the temperature at midday?
Mars2501 [29]

It is 9 degrees by midday

3 0
3 years ago
Read 2 more answers
PLEASE HELP ME I AM TAKING A TEST AND I NEED HELP!!!
zhannawk [14.2K]
Part A.
y=4x+3

Part B.
11=4x+3
8=4x
2=x
2 dollars

Part C.
4(3)+4(2)=12+8=20

It would be enough if there is no sales tax.

Hope this helps!
Your fortune is "Only one fortune a day!"
3 0
3 years ago
Helpppppppppppppppppppppp
7nadin3 [17]
A) false
3(5)-5
15-5
10

b)True
3(6)-5
18-5
13

c) false
3(7)-5
27-5
22
5 0
3 years ago
Other questions:
  • How did newton know that 1%of 80 is 0.8
    10·1 answer
  • Your puppy weighed 2 1/2 lb last week. This week it weighs 7 1/4lb. How much weight has the puppy gained? A) 9 3/4 B) 3/4 C) 4 3
    11·2 answers
  • 3 thousand ÷10 standard form
    15·2 answers
  • Find two different planes whose intersection is theline:x = 6 + 3ty = -8 - 3tz = -1 - tWrite equations for each plane in the for
    8·1 answer
  • A recipe calls for 1/2 teaspoon of crushed red pepper and 3/4 teaspoon of thyme leaves. What is the unit rate of teaspoons of cr
    10·1 answer
  • Mrs. Berry’s class organized the lunch orders for their upcoming party in the table below.Lunch Orders for the Class Party
    13·2 answers
  • PLEASE HELP ASAP!!! 20 Points!! Will give brainliest!!!!!
    7·1 answer
  • Describe the transformation from the graph of f(x) =ax^2 to the graph of g(x) = a(x-h)^2+k
    11·1 answer
  • Please help me<br><br> no random links pls
    10·1 answer
  • Solve for X and Y thank u!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!