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galben [10]
2 years ago
8

Heather and Joel are setting up a new budget. They have decided that the ratio of spending to saving needs to be 5:2.

Mathematics
2 answers:
uysha [10]2 years ago
8 0

Answer:

The ratio of spending to savings last month is 8:5.

Step-by-step explanation:

Given : Heather and Joel are setting up a new budget. They have decided that the ratio of spending to saving needs to be 5:2.  

They have added up all of their bills for last month and see that they spent a total of $4,231. They also see that they put $2538.60 in their savings account for the month.

To find : What was their actual ratio of spending to savings last month ?

Solution :

Total spent in the last month = $4231

The savings last month = $2538.60

Actual ratio of spending to savings last month is

=\frac{4231}{2538.60}      

=\frac{42310}{25386}  

=\frac{8}{5}  

Therefore, The ratio of spending to savings last month is 8:5.

lisabon 2012 [21]2 years ago
4 0
4231/2538.6 = 1.666666... = 5/3

It was 5:3.
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CL 6-131. Solve each system using the method of your choice.
shepuryov [24]

System 1: The solution is (x, y) = (-4, 5)

System 2:  The solution is (x, y) = (\frac{11}{3}, -3)

<em><u>Solution:</u></em>

<em><u>Given system of equations are:</u></em>

2x + 3y = 7 ------ eqn 1

-3x - 5y = -13 --------- eqn 2

We can solve by elimination method

Multiply eqn 1 by 3

6x + 9y = 21 ------ eqn 3

Multiply eqn 2 by 2

-6x - 10y = -26 ------- eqn 4

Add eqn 3 and eqn 4

6x + 9y -6x - 10y = 21 - 26

-y = -5

y = 5

Substitute y = 5 in eqn 1

2x + 3(5) = 7

2x + 15 = 7

2x = -8

x = -4

Thus the solution is (x, y) = (-4, 5)

<h3><em><u>Second system of equation is:</u></em></h3>

8 - y = 3x ------ eqn 1

2y + 3x = 5 ----- eqn 2

We can solve by susbtitution method

From given,

y = 8 - 3x ----- eqn 3

Substitute eqn 3 in eqn 2

2(8 - 3x) + 3x = 5

16 - 6x + 3x = 5

3x = 16 - 5

3x = 11

x = \frac{11}{3}

Substitute the above value of x in eqn 3

y = 8 - 3x

y = 8 - 3 \times \frac{11}{3}\\\\y = 8 - 11\\\\y = -3

Thus the solution is (x, y) = (\frac{11}{3}, -3)

4 0
2 years ago
Given f(x) = 4x4 + 5x3 – 15x2 – 45, find f(–3).
poizon [28]

Answer:

C)  

f(–3) = 9

Step-by-step explanation:

Given f(x) = 4x^4 + 5x^3 – 15x^2 – 45

f(-3) means let x = -3

f(-3) = 4(-3)^4 +5(-3)^3 – 15(-3)^2 – 45

       =4(81) +5(-27) -15(9) -45

        = 324 - 135 - 135 -45

           =9

6 0
2 years ago
Read 2 more answers
Mrs. Adams deposited $12,000 into an account that earns an annual simple interest rate of 3.25%. She makes no other deposits or
lisabon 2012 [21]

Answer:

<em>Mrs. Adams will earn $3,120 of interest at the end of year 8.</em>

Step-by-step explanation:

<u>Simple Interest</u>

In simple interest, the money earns interest at a fixed rate, assuming no new money is coming in or out of the account.

We can calculate the interests earned by an investment of value A in a period of time t, at an interest rate r with the formula:

I=A.r.t

Mrs. Adams deposited an amount of A=$12,000 into an account that earns an annual simple interest rate of r=3.25%. We must find the interest earned in t=8 years. The interest rate is converted to decimal as:

r=3.25/100=0.0325

The interest is then calculated:

I=12,000\cdot 0.0325\cdot 8=3,120

Mrs. Adams will earn $3,120 of interest at the end of year 8.

7 0
2 years ago
Which statement and explanation about the product of a 3-digit number and a 2-digit number is correct?
Murrr4er [49]
The answer is D- 999*99 is 98,901 (which is 5 digits. It cannot go higher), but 100*10 is 1,000, so it can go lower.
8 0
2 years ago
Write an expression for the number of tiles Bruce used and an expression for the number of tiles Felicia used. Use x to represen
Basile [38]

Expression for the number of tiles Bruce used : <u>5x+2</u>

Expression for the number of tiles Felicia used : <u>5x + 5</u>

<h3>Further Explanation  </h3>

One variable linear equation is an equation that has a variable and the exponent number is one.  

Can be stated in the form:  

\large{\boxed{\bold{ax=b}}

or  

ax + b = c, where a, b, and c are constants, x is a variable  

We complete the introduction for the task

Bruce retiled his kitchen. Originally, he bought three boxes of tile with the same number of tiles in each. He ran out of tile and had to go back to get three extra boxes of tile. However, he only used two tiles from the last box to finish the job.

Felicia also retiled her kitchen. She bought five boxes of tile with the same number of tiles that were in each as Bruce’s boxes. She also ran out of tile. She had to go back to the store and get an extra five tiles to finish the job.

We can translate those in to expression of One variable linear equation (x = number of tiles)

  • Bruce

He bought three boxes ⇒ 3x

He only used two tiles from the last box  ⇒ 2x + 2

Total tiles of Bruce used : 3x+2x+2 = 5x+2

  • Felicia

She bought five boxes  ⇒ 5x

She get an extra five tiles to finish the job. ⇒ 5 tiles

Total tiles of Felicia used : 5x+5

<h3>Learn more</h3>

linear equation

brainly.com/question/13101704

Keywords : an expression, linear equation, tiles, box,Bruce,Felicia

#LearnWithBrainly

8 0
2 years ago
Read 2 more answers
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