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emmasim [6.3K]
3 years ago
15

1: A woman buys a car making a $3,000 down payment and then agrees to make 48 monthly payments of $360. What is the total cost o

f the car?
2: Last week a man worked 12 hours a day for 5 days. This week he worked 57 hours. How many hours did he work in all?

please show how you got your answer !!
Mathematics
2 answers:
katrin [286]3 years ago
7 0

Answer:

1. $20280

2. 117 h

Step-by-step explanation:

1.

to know the value of the car we have to add all the monthly payments with the $ 3000 that she paid at the beginning

x =  car value

x = $3000 + 48 * $360

x = $3000 + $17280

x = $20280

The total cost of the car is $20280

2.

To know how many hours I work in total we have to add the hours I work in each day 5 times with the 57 hours I work the following week

x =  hours that work in all

x = 5 * 12 + 57

x = 60 + 57

x = 117

work for 117 hours in all

timofeeve [1]3 years ago
5 0

Answer:

Step-by-step explanation:

1) the down payment made for the car is $3000.

She then agrees to make 48 monthly payments of $360. It means that the total monthly payments in 48 months is

48 × 360 = $17280

The total amount that she paid for the car is

17280 + 3000 = $20280

2) Last week a man worked 12 hours a day for 5 days. It means that the total number of hours he worked last week is

12 × 5 = 60 hours

This week, he worked 57 hours. It means that the total number of hours he worked is

60 + 57 = 117 hours

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Solve and check the linear equation.<br> 3(x-2) + 8 = 2(x + 5)
ANEK [815]

Answer:

x = 8

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

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

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. (Parenthesis) Distribute:                                                                               3x - 6 + 8 = 2x + 10
  2. Combine like terms:                                                                                     3x + 2 = 2x + 10
  3. {Subtraction Property of Equality] Subtract 2x on both sides:                    x + 2 = 10
  4. [Subtraction Property of Equality] Subtract 2 on both sides:                      x = 8

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                                                                                               3(8 - 2) + 8 = 2(8 + 5)
  2. (Parenthesis) Subtract/Add:                                                                         3(6) + 8 = 2(13)
  3. Multiply:                                                                                                         18 + 8 = 26
  4. Add:                                                                                                               26 = 26

Here we see that 26 does indeed equal 26.

∴ x = 8 is the solution to the equation.

3 0
3 years ago
A straight line has a slope of 2.08. Calculate the angle that the line makes with the x (horizontal) axis.
zubka84 [21]

Answer:

The angle that the line makes with x-axis of of 64.3º.

Step-by-step explanation:

Equation of a line, and angle with the x axis:

The equation of a line has the following format:

y = mx + b

In which m is the slope.

The angle that the line makes with the x axis is given by the angle which has tangent m, that is, a = \tan^{-1}{m}.

In this question:

We have that m = 2.08. So

a = \tan^{-1}{2.08} = 64.3

The angle that the line makes with x-axis of of 64.3º.

4 0
3 years ago
Help asap! i need to submit this soon and I don’t get it!
madreJ [45]

Answer:

no

Step-by-step explanation:

linear must be straight

4 0
3 years ago
Read 2 more answers
Help me please.<br><br> ------------------------------------------------
ladessa [460]

Answer:

Alicia

Step-by-step explanation:

First, convert the mixed fractions into improper fractions

<u>Alicia</u>

Distance: 5 1/2 = 11/2 = 5.5 miles

Time: 1 2/5 = 7/5 = 1.4 hours

<u>Carlos</u>

Distance: 8 1/8 = 65/8 = 8.125 miles

Time: 2 1/2 = 5/2 = 2.5 hours

<u>Henry</u>

Distance: 3 2/3 = 11/3 = 3.6 reoccuring miles

Time: 1 1/10 = 11/10 = 1.1 hours

<u>Zoe</u>

Distance: 4 2/3 = 14/3 = 4.6 reoccuring miles

Time: 1 3/10 = 13/10 = 1.3 hours

After that, divide the distance by the time

Alicia = 5.5 / 1.4 = 3.93 ( 3 s.f )

Carlos = 8.125 / 2.5 = 3.25

Henry = 3.6 re / 1.1 = 3.3 reoccuring

Zoe = 4.6 / 1.3 = 3.54 ( 3 s.f )

Looking at these answers, we determine which rate is the greatest

Alicia = 3.93

Carlos = 3.25

Henry = 3.3 re

Zoe = 3.54

Alicia hiked the highest rate.

5 0
3 years ago
I need this one answered too, I'm not very good at fractions...
gizmo_the_mogwai [7]

b is correct! good job :)

4 0
3 years ago
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