In her last two years in college, Marlene received $42,000 in loans. The first year, she received a loan that was $6,000 less than three times the amount of the second year's loan. Call the amount that Marlene received her first year f and the amount she received in her second year s.

Answers

Answer 1

Answer:

First year = 30000

Second year = 12000

Step-by-step explanation:

Given

[tex]Loan = \$42000[/tex]

Represent first year with f and second year with s.

So, we have:

[tex]s + f = 42000[/tex]

and

[tex]f = 3s - 6000[/tex]

Required

Solve for f and S

Substitute 3s - 6000 for f in the first equation.

[tex]s + f = 42000[/tex]

[tex]s + 3s - 6000 = 42000[/tex]

[tex]4s - 6000 = 42000[/tex]

Collect Like Terms

[tex]4s = 42000 + 6000[/tex]

[tex]4s = 48000[/tex]

Solve for s

[tex]s = 48000/4[/tex]

[tex]s = 12000[/tex]

Substitute 12000 for s in [tex]f = 3s - 6000[/tex]

[tex]f = 3 * 12000 - 6000[/tex]

[tex]f = 36000 - 6000[/tex]

[tex]f = 30000[/tex]


Related Questions

Select three ratios that are equivalent to

16

:

12

16:1216, colon, 12.

Choose 3 answers:

Choose 3 answers:


(Choice A)

A

8

:

6

8:68, colon, 6


(Choice B)

B

32

:

24

32:2432, colon, 24


(Choice C)

C

4

:

3

4:34, colon, 3


(Choice D)

D

12

:

8

12:812, colon, 8


(Choice E)

E

24

:

16

24:16

Answers

Answer:

A,B,C

Step-by-step explanation:

When you divide 16 by 12 you  get 1.3 repeating. When you divide A , B , C by their numbers you get 1.3 repeating also. But D and E equal 1.5 so that's how you know those to answers are incorrect:)

glad to help!

The equivalent ratio are 8:6, 32:24 and 4:3

What is Ratio?

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

Ratio = 16 : 12

Simplifying the ratio

= 16/12

= 4/3

So, first 8:6

= 4: 3

and, second 32:24

= 4:3

and, third = 4:3

and, fourth 12 : 8

= 3:2

Hence, the equivalent ratio are 8:6, 32:24 and 4:3

Learn more about ratio here:

https://brainly.com/question/13419413

#SPJ5

Solve the system by substitution.
Y = 10x
7x + 3y =
37

Answers

Answer:

x=1 , y=10

Step-by-step explanation:

i attached photo of steps of solution

3. John has $500 and wants to buy a used car but does not have sufficient money.
He decides to save $80 per week for a number of weeks to make up the deficit.
a. Given that he has $500 at the beginning of the first week, how much will he
have saved at the end of the 2nd, 3rd, 45, and 5 weeks?
b. Make a graph to represent the pattern from part a.
c. Create a function that represents the relationship between weeks (w) and
money (m)
d. Explain each part of your function.

Answers

Answer:820

Step-by-step explanation:

Since he got $500 the first week multiply 80x4 which is 320+500 is 820$

Help step by step plz :)

Answers

Answer:

182i2j3jdii32i3i38839393838383383 yan yung sagot pasalamat ka nalang mamaya

Step-by-step explanation:

hakdog ses dog

6x+12=54
6x=54-12
6x=42
6x/6=42/6(divide both sides)

x=7

PLEASE HELP I ONLY NEED# 8,10,12,19,20 AND 22 DONE ​

Answers

This is the answer hope you get it :)

On her first science test, Whitney scored a 92%. On the second test, she scored an 80%. What is the approximate percent of decrease in her score?

Answers

Answer:

Step-by-step explanation:

Decrease = 92 - 80 = 12

Percent of decrease in her score = [tex]\frac{12}{92}*100\\[/tex]

                                                       = [tex]\frac{1200}{92}\\[/tex]

                                                       = 13.04

                                                      = 13 %

Answer:

it would be a 12 percent

Step-by-step explanation:

The function h(t) = 150 – 9t represents the height of a ball dropped from 150 feet after t seconds. What will the height of the ball be after 1.4 seconds?

Answers

Answer:

I'm so sorry I can't help

Consider the rule y = 5x + 7.
a. How many tiles are in Figure 0?
b. Which figure has 37 tiles?
c. In the equation y = mx + b, what do the letters m and b represent?

Answers

Answer:

see below

Step-by-step explanation:

Consider the rule y = 5x + 7.

a. How many tiles are in Figure 0?

In figure 0, we let x=0

y = 5*0+7 = 0+7 = 7

b. Which figure has 37 tiles?

This means y = 37

37 = 5x+7

Subtract 7 from each side

37-7 = 5x+7-7

30 = 5x

Divide by 5

30/5 = 5x/5

6 =x

Figure 6 has 37 tiles

c. In the equation y = mx + b, what do the letters m and b represent?

m is the slope or how much it is increasing each time x increases by 1  and b is how much we start with when x =0

A preschool class has 14 girls and 10 boys. What is the ratio of boys to
the WHOLE class?

Answers

Answer:

10/24 or 5/12

Step-by-step explanation:

If you add both boys and girls you will get 24 which is the total students and the number of boys us 10 so it would be 10/24 or simplified would be 5/12.

:) Hope this helps

2( 3y−8 ) = 8 what is y?

Answers

[tex]2(3y - 8) = 8 \: \: so \: \: 6y - 16 = 8 \: \: so \: \: 6y = 24 \: \: finaly \: > > y = 4[/tex]

A train leaves New Delhi at 4:00 p.m. and reaches Lucknow at midnight. Its speed is 55km/h. What is the distance between Delhi and Lucknow?

Answers

Answer:

[tex]\boxed{440 km}[/tex]

Step-by-step explanation:

→ Work out time between New Delhi and Lucknow

12:00 - 4:00 = 8:00

→ State the speed formula

Speed = Distance ÷ Time

→ Rearrange to make distance the subject

Distance = Speed × Time

→ Substitute in the values

55 × 8 = 440 km

On a set of parallel lines cut by a transversal m<2=(7x-5) and m<6=(x+25) which value of x could show that <2 and <6 are corresponding angles

Answers

Answer:

X = 5

Step-by-step explanation:

When the lines are parallel, the corresponding angles are equal in measure then:

m<2 = m<6

7x - 5 = x + 25

7x - x = 25 + 5

6x = 30

x = 5

2/ 6 dividing by 1 /3

Answers

Answer:

1/9

Step-by-step explanation:

I hope this help.

how do i to find the slope

Answers

Answer:

To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

Step-by-step explanation:

Answer:

The equation to find slope is y=mx+b. Find two points in the line that are clear. subtract x1 and x2 and y1 and y2. Plug in the x and y values of one into the equation. b is equal to y when x is 0

Step-by-step explanation:

Which could be the first step in solving this equation?
5x + 4x - 72
A)
Combine like terms.
B)
Add 9x to both sides of the equation
0)
Subtract 72 from both sides of the equation
D)
Subtract 5x from both sides of the equation

Answers

A combine like terms
Hi :)

The answer is A

Because 5x and 4x have the same variable, we can add them together

Hope this helps :)

-2/9 ÷ 1/2 as a fraction

Answers

Answer:

-4/9

Step-by-step explanation:

-2/9*2/1

-4/9

Answer:-4/9

Step-by-step explanation:used a caculator


1. A day care center has 52 children. Each teacher has the same number
of children. How many children could each teacher at the center
have?

Answers

Answer:

It depends on how many teacher has

Step-by-step explanation:

52 children divided by number of teacher

Help I’m so confused

Answers

Answer:

a

Step-by-step explanation:

90 minutes=1 and a half hour

hour=60 min

answer: A

explanation:
liz and mike both started at 4:15 pm.

mike stopped 90 minutes later. if liz stopped half an hour less than mike, then that means she stopped 60 minutes later. this is because half an hour is 30 and 90-30= 60.

therefore, we would add 60 minutes (or 1 hour because 60 minutes= 1 hour) to when she started, which is 4:15 pm.

4:15 pm + 1 hour = 5:15 pm

if 1 bag of popcorn would fill 2 paper bags, and i have 24 bags of popcorn, how many paper bags do i have? ( please help!! urgent aahhh )

Answers

Answer:

48

Step-by-step explanation:

1 b = 2p

24 b = 48  p

award brainliest if this helped! :)

Early in November, it was 37​ O​ F on a particular day. The temperature has dropped 2​ O​ F every day since then. It is now -11​ O​ F. How many days have passed since it was 37​ O​ F outside?

Answers

14 days have passed since it was 37°F outside.

Two angles are supplementary. If one of them is 30 degrees, the other is...

150
150

30
30

15
15

60

Answers

Answer:

450

Step-by-step explanation:

I think the answer is 450

Simplify -7 + 7 -19 A.12 B.-19 C. 0 D.19 PlZZzz Help me

Answers

Answer:

8^2+20-30x

Step-by-step explanation:

Answer:

Hello

B. -19

Step-by-step explanation:

= (-7)+7-(19)

= (-7+7)-19

= 0-19

= -19

Solve the equation for x, and enter your answer below.
6(x-4) + 7 = -5

Answers

Answer:

x=2

Step-by-step explanation:

The answer is –5. Explantation is in the picture.

An ice cream shop sells five sundaes for every six cones. Yesterday the shop sold 60 sundaes. How many cones were sold?

Answers

Answer:

50

Step-by-step explanation:

To get each sundae come from sold, you divide sold by for every x cones, then multiply by how many sundaes

Answer:

72

Step-by-step explanation:

60÷5=12

6×12=72 cones

I need to match each equation with the right answers and I need to show my work for each one

Answers

Don’t mind my hand writing

Please help me out with my homework! This is super urgent! It's due in 18 minutes! Baranga lives in the city of Delmarville, North Carolina. She drives for 572 miles to Montgomery, Alabama. She drove for 22 hours. How long did she drive every hour?

Answers

Answer:

26 miles every hour

Step-by-step explanation:

she drove 572 miles for 22 hours

???????                      for 1 hour

572/22= 26 miles per hour

Answer: 26 miles

We know that Baranga drove 572 miles in 22 hours. To find how much she drove every hour, we must divide.

Let m represent miles, and h represent hours.

m ÷ h = 26

Remember to always check your answer.

26 x h = m

Therefore, the answer is 26. Hope this helps you!

What is the missing exponent

Answers

Answer:

x^5 is the missing

The function g(x) is defined as shown.
What is the value of g(0)?

Answers

Plug it into the second one and you should get -1

Find the slope of the line that passes through (9,6) and (1,3)

Answers

Answer:

3/8

Step-by-step explanation:

Slope m = (y2-y1) / (x2-x1)

= (3-6) / (1-9)

= (-3) / (-8)

= 3/8

A hot air balloon went from an elevation of 5,340 ft to an elevation of 3,436 ft in 32 minutes what was its rate of descent?

The rate of descent was ____ feet per minute.


Please help ASAP my assignment is due in less then an hour.​

Answers

Answer

The rate of descent was 59.5 feet per minute

Step-by-step explanation:

Other Questions
Does this look good? Caleb and Sergio stacked boxes on a shelf. Caleb lifted 14 boxes and Sergio lifted 12 boxes. The boxes that Sergio lifted each weighed 10 lb more than the boxes Caleb lifted.Let c represent the weight of each box Caleb lifted.Which expression represents the total number of pounds Sergio lifted?120c10(c12)12(c+10)c + 10 Plz help :( I dont understand which of these is correct? will give brainliest C: Part AIn "Solitude," what can be inferred about the authors feelings toward the natural world?a. He feels that people can learn a lot from observing the interactions that take place in nature.b. He is afraid in the company of other people, but he has no fear around animals.c. Every part of the natural world is equally appealing, but each in its own way.d. He understands the emotions of people but has much to learn about those of animals.Part BWhich sentence best supports the answer in Part A?a. "They are Natures watchmen,links which connect the days of animated life."b. "As I walk along the stony shore of the pond in my shirt sleeves . . . and I see nothing special to attract me, all the elements are unusually congenial to me."c. "What sort of space is that which separates a man from his fellows and makes him solitary?"d. "The wildest anima What was the name for the people who were considered to be so low that they were not even part of the Hindu caste system?A.SudrasB.UntouchablesC.vedas What is the only part of government that can "declare war"? please help ASAP i don't understand what to do Appendix 1: Gross and net methods for sales discounts The following were selected from among the transactions completed by Strong Retail Group during August of the current year: Aug. 5. Sold merchandise on account to M. Quinn, $7,500, terms 2/10, n/30. The cost of the merchandise sold was $4,200. 9. Sold merchandise on account to R. Busch., $4,000, terms 1/10, n/30. The cost of the merchandise sold was $2,100. 15. Received payment on account for the sale of August 5 less the discount. 20. Sold merchandise on account to S. Mooney, $6,000, terms n/eom. The cost of the merchandise sold was $3,300. 25. Received payment on account for the sale of August 9. 31.Received payment on account for the sale of August 20.A. Journalize the August transactions using the gross method of recording sales discounts. Aug. 5 Accounts Receivable-M. Quinn 7,500Sales 7,500 Cost of Goods Sold 4,200 Inventory 4,200 Accounts Receivable-R. Busch 4,000 Sales 4,000 Cost of Goods Sold 2,100 B. Journalize the August transactions using the net method of recording sales discounts. 6 inches for every horizontal change of 12 inches Suppose you are studying the kinetics of the iodine-catalyzed decomposition of hydrogen peroxide. 2 H 2 O 2 2 H 2 O + O 2 If you determine the initial rate is 7.50 10 4 M/s when [ H 2 O 2 ] = 0.546 M and [ K I ] = 0.212 M , what is the rate constant? Assume that the order of both reactants is 1. Which of the following is an example of a breakthrough? aa new cure for a rare disease ba perfect score on a college exam ca climb to the top of Mt. Everest da non-stop swim across the English Channel 5 sentences !, Ill give brainliest and help too Angela went to the farmers' market to buy some vegetables. She wanted some yellow squash and zucchini which were both on sale for $1.48 per pound. Angela bought 245 pounds of yellow squash and 3110 pounds of zucchini. To the nearest cent, what was the total cost of the vegetables? PLEASE ANSWER QUICKThe most important object in a picture is the ______.A. patternB. balanceC. focal pointD. background (5x10^3) + (4.3x10^4)= True or False: The prisoners in the hospital were liberated days after the camp was evacuated. 16. Which of the following can be explained at point B? Lithosphere B Mantle Outer core Inner core O plates move apart and volcanoes form O plates move past each other sideways O plates are not moving O plates move toward each other and volcanoes form The power that a student generates when walking at a steady pace of vw is the same as when the student is riding a bike at vb = 3vw. The student is going to travel a distance d. The energy the student uses when walking is Ew. The energy the student uses when biking is Eb. The ratio EwEb is The pOH of an aqueous solution of 0.480 M trimethylamine (a weak base with the formula (CH3)3N) is .