Donna's company reimburses her expenses on food, lodging, and conveyance during business trips. The company pays $50 a day for food and lodging and $0.60 for each mile traveled. Donna drove 200 miles and was reimbursed $1,620. Part A: Create an equation that will determine the number of days on the trip. (3 points) Part B: Solve this equation justifying each step with an algebraic property of equality. (6 points) Part C: How many days did Donna spend on this trip? (1 point)

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

Part A

Let number of days be d, then the equation is:

50d + 200*0.6 = 1620Part B

Solution of the equation

50d + 120 = 162050d + 120 - 120 = 1620 - 120   ⇒ subtraction property of equality50d = 150050d / 50 = 1500/50                ⇒ division property of equalityd = 30Part C30 days as above


Related Questions

Lonny is serving soup for charity. Each bowl holds 2.15 cups of soup. How many bowls will Lonny use if he serves a total of 94.6 cups of soup?

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you can set it up like a proportionality...hope this helps :)

What is the value of x?
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5 I think








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What do the four yellow tiles in the model of the equation below represent?
1
xxx
-4
4
-4x
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Where is the model??

A person places $7420 in an investment account earning an annual rate of 5.9%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 20 years.

Answers

Answer:

$24147.50

Step-by-step explanation:

Step one:

given

principal=$7420

rate = 5.9%= 0.059

time = 20years

Step two:

Required

Final amount V

using the relation

[tex]V = Pe^{rt}[/tex]

Substituting we have

[tex]V = 7420e^{0.059*20}\\\\V=7420e^{1.18}\\\\V=7420*3.2543\\\\V=24147.456[/tex]

To the nearest cent

= $24147.50

The amount of money in the account after 20 years is $24147.50

What is the mode of the following numbers? 12, 11, 14, 10, 8, 13, 11,9​

Answers

Answer:

11 is the mode

Step-by-step explanation: it appears the most

1. –X + Y = -22X – Y = 6

2. X + Y = 5-2X + Y = -4

Answers

Answer:

1. –X + Y = -22X – Y = 6

2. X + Y = 5-2X + Y = -4

Step-by-step explanation:

In 12 hours , the temperature fell steadily from 17F to -7F. What was the change in temperature

Answers

Answer:

the change was 24F

Step-by-step explanation:

Given these two data sets, IQ-GPA and IQ-SAT, how would you predict Justin’s SAT score based on his GPA? Explain.

Answers

Answer:

First, use the equation of the trend line to find the IQ that is expected by the GPA. Next, use the other equation of the trend line to find the SAT that is predicted by the IQ.

Step-by-step explanation:

have a great day!

Answer:

First, use the equation of the trend line to find the IQ that is expected by the GPA. Next, use the other equation of the trend line to find the SAT that is predicted by the IQ.

Step-by-step explanation:

it was correct on edge

Drilon got 63 out of 72 correct in his test.
What fraction of the marks did he get wrong?
Give your answer in its simplest form.​

Answers

Answer:7/10

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

He got 63/72 correct.

Since he got 9 wrong (72-63).

Fraction of wrong answers = 9/72

Which is equal to 1/8.

The amount that Ronnie earns, E, in terms of the number of hours that he works, h, is shown in
the graph below.
What is the constant of proportionality. E/h for this situation

Answers

Answer:

8

Step-by-step explanation:

The constant of proportionality bus the amount earned by Ronnie, E, all over the corresponding hours he used in working, h.

Constant of proportionality = [tex] \frac{E}{h} [/tex]

From the graph given, when h = 5, E = 40.

Therefore:

Constant of proportionality = [tex] \frac{E}{h} = \frac{40}{5} = 8 [/tex]

a price of a sweter was reduced from $20 to $12 . By what percentege was the price of the sweter reduced?

Answers

Answer:

im pretty sure its 40%

Step-by-step explanation:

Answer:

The sweater is 40% off

Step-by-step explanation:

Which expression can be used to find 25 percent of 88?
StartFraction 1 Over 25 EndFraction times 88
One-fourth times 88
StartFraction 1 Over 0.25 EndFraction times 88
StartFraction 1 Over 40 EndFraction times 88

Answers

Answer: 25/100* 88

Step-by-step explanation:

Answer:

88?

Step-by-step explanation:

Use the table and graph that relates dog ages to human ages to
following question.


question: would there ever be one year assigned to two different quantities? explain.

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Answers

Answer:

No

Step-by-step explanation:

If x= 2 what does y equal

Answers

Answer:6

Step-by-step explanation:

4.8(x)+1.2(y)=2.4

y would equal -6.

4.8(2)+1.2(y)=2.4

9.6 + 1.2y = 2.4      subtract 9.6 from both sides

1.2y = - 7.2    divide by 1.2 on both sides

y = -6

Find the slope of the line that passes through the points (2, 4) and (6, 12)

Answers

Answer: The slope is 2

Answer:

Slope = 2

Step-by-step explanation:

To find slope, you use the formula [tex]\frac{y1-y2}{x1-x2}[/tex]

[tex]\frac{4-12}{2-6} = \frac{-8}{-4} = 2[/tex]

So the slope = 2

Can I get brainliest please? Thanks.

How do I find the x in this special triangle?

Answers

Answer:

x=5

Step-by-step explanation:

a^2+b^2=c^2

a=4

b=3

c=x

4^2+3^3=x^2

16+9=x^2

25=x^2

5=x

If A= 1, Be= 7, then ADD=?

Answers

Answer:

D or DD was not given any factor, but A was given which is 1, ADD= 1 multipltied by D

Neurons are brain cells. Where would a new neuron come from?

Answers

Answer:

New neurons are born not from mature nerve cells but rather develop from neural stem cells that remain in our brains throughout life. Indeed, in some brain areas, there is continual turnover of neurons - old ones die and new ones are born - and these new neurons can participate in circuits that underlie learning.

Answer:

New neurons are born not from mature nerve cells but rather develop from neural stem cells that remain in our brains throughout life. Indeed, in some brain areas, there is continual turnover of neurons - old ones die and new ones are born - and these new neurons can participate in circuits that underlie learning.

Step-by-step explanation:

a triangles inside angles all add up to how many degrees​

Answers

Answer:

.?????¿¿????????????????

Answer:

180!

Angles in a triangle sum to 180°

help!!!!!!!!!!!!!!!!!​

Answers

Answer: B. -2a^2 + 3a -6

Step-by-step explanation: Hope this helps!

Felicia has grown five pumpkins. The first is 25.34 pounds. The second
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are 13.2 pounds. If the combined weight of the pumpkins is 71.87 pounds,
how much does the fifth pumpkin weigh?

Answers

Answer:

5.02

Step-by-step explanation:


[tex]\pi - 1[/tex]
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Answers

Irrational
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What is y+3=4(x-1) in Slope intercept form ?

Answers

Y+3=4(x-1)
Y+3=4x-4
-3 -3
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Draw a number line diagram and write an expression to represent this situation: "On Tuesday at lunchtime, it was 29 ∘C. By sunset, the temperature had dropped to 16 ∘C.

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Answer:

Step-by-step explanation:

look at the png

Brian measures his height at 160cm to the nearest 10cm.
What is the tallest he could be?
Give the upper bound as your answer.

Answers

Answer:

170 cm is the tallest

The table shows a linear function.

Which equation represents the function?

Answers

You have a great day and you can

Use the inverse relationship to complete the expression.

If i = square root of -1, then t^2= ?

Answers

Answer:

revertive is correct. The answer is -1

Step-by-step explanation:

Which statement is true about function f, which is shown in the graph? f(x) -8x⁵+ 4x³+5x?
A. Function f is neither even nor odd.
B. Function f is even.
C. Function f is odd.
D. function f is both even and odd.​

Answers

Answer:

f(-x)=-f(x)

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Option C is correct.

Step-by-step explanation:

Which statement is true about function f, which is shown in the graph?

f(x)= -8x⁵+ 4x³+5x?

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and function is odd if f(-x)=-f(x)

Putting x=-x and finding f(-x)

f(-x)=-8(-x)^5+4(-x)^3+5(-x)

f(-x)=-8(-x^5)+4(-x^3)-5x

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Option C is correct.

The function f(x) = -8x⁵+ 4x³+5x is an odd function option (C) Function f is odd is correct.

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It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

f(x) = -8x⁵+ 4x³+5x

Plug x → -x

f(-x) = -8(-x)⁵+ 4(-x)³+5(-x)

f(-x) = 8x⁵- 4x³-5x

f(-x) = -( -8x⁵+ 4x³+5x)

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Learn more about the function here:

brainly.com/question/5245372

#SPJ5

IM IN A RUSH PLZ HELP ME WILL GIVE BRAINEST!




Jenna's family is planning a trip to Oceanside, California. They will begin their trip in Scranton, Pennsylvania and will travel 2,754 miles over 9 days. If the family travels an equal number of miles every day, how far will they travel?​

Answers

Answer:

I believe they will travel 306 miles in a day

Step-by-step explanation:

if you divide 2,754 by 9 it equals 306. I hope this helps.

Multiple Step Equations
Solve the multiple choice equation
What is the solution to this equation?
5(x – 4) = 3x + 4
A x = -8
(B) x = -2
C x=3
(D) x = 12
Math

Answers

The answer is D.

The first step is to use the distributive property and turn 5(x-4) into 5x - 20.
You then move the twenty into the right equation by adding 20 to both sides. The final step is to move the 3x into the left equation by subtraction and then dividing both sides by 2 to isolate x. Hope this helped !!

Answer:

D

Step-by-step explanation:

5(x-4) = 3x + 4

5x-20 = 3x + 4

5x-3x-20= 4

2x=4 +20

2x=24

x=12

check answer by inserting 12 for x into original  equation.

5(12-4) = 3(12) +4

5(8) = 36 +4

40 = 40

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