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

What is the image of the point (7, -5) after a rotation of 270°
counterclockwise about the origin?

Answers

Answer:

It should be (-5,-7)

Step-by-step explanation:

I used a graphing calculator and turned it each degree till I reached 270

The length of a rectangle is 4 inches greater than the width. The perimeter of the rectangle is 24 inches. What are the dimensions of the rectangle

Answers

Answer:

L=8, W=4

Step-by-step explanation:

2L+2W=p

2(4)+2(8)=p

8+16=24

Answer:

length = 8 in.; width = 4 in

Step-by-step explanation:

Calculate the SPEED of a
sprinter who ran 200 meters
in 20 seconds.

Answers

Speed = distance / time

Speed = 200 meters / 20 seconds

Speed = 10 meters / second

1 meter per second = 3.6 km per hour

10 meters per second x 3.6 = 36 km per hour

Answer: 36 kilometers per hour

Step-by-step explanation: Average speed = total distance / total time.

help please :(((aaaa

Answers

Answer:

i think its b

Step-by-step explanation:

Answer:

it for sure the second one

Step-by-step explanation:

Need help please !!!

Will mark as brainliest!!!

Answers

Answer:

DW = 70

Given segments XW, YW, and ZW are perpendicular bisectors, the adjacent segments formed from the bisector are congruent.

All of your answers are correct, I checked!

Nikki just graduated from high school and would like to buy a car. If she received $3000 in graduation gifts from family friends. She will put this money into a 18 month certificate of deposit until she finds the car of her dreams. The CD earned 10% annually and simple interest. How much will she put towards the down payment and 18 months 1.5 years?

Answers

Answer:

$3450

Step-by-step explanation:

Here, P = $3000, N = 1.5 years, R = 10%

[tex]SI = \frac{PNR}{100} \\ \\ SI = \frac{3000 \times 1.5 \times 10}{100} \\ \\ SI = 450 \\ \\ [/tex]

Amount of down payment

= $3000 + $450

= $3450

How to Rewrite 8 + 36 as a product of their GCF and the sum of two factors

Answers

Answer:

4 (2 + 9)

Step-by-step explanation:

  Given expression:

              8 + 36

The greatest common factor is the highest number that divides a number:

8 and 36 ;

  Factors of 8 : 1,2,4, 8

                  36 : 1, 2, 3, 4, 9, 18, 36

The highest common factor is 4;

  8 + 36  = 4 (2 + 9)

f-4=6f + 26 what is f

Answers

Answer:

the answer is f=-6

Answer:

f = - 6  

Step-by-step explanation:

Step 1:

f - 4 = 6f + 26          Equation

Step 2:

- 4 = 5f + 26        Subtract f on both sides

Step 3:

- 30 = 5f       Subtract 26 on both sides

Step 4:

f = - 30 ÷ 5       Divide

Answer:

f = - 6      

Hope This Helps :)

What fraction is equivalent to 2 on this number line?

Answers

Answer:

2/1

Step-by-step explanation:

You can even check by doing 2 divided 1.

Hope this helps!!

2/1 I know there’s already an answer but

Which of the following relationships represents joint variation?

Answers

Answer:

y=7x

Step-by-step explanation:

that what I heard in math ok

8.55708 to the nearest cent

Answers

Answer:

the answer is 8.56

Step-by-step explanation:

Answer:

8.56

Step-by-step explanation:

if it is a 5 or higher you round it up

In the right ∆ABC, BL is an angle bisector. If LB = 1.2 in and LC = 0.6 in. Find:

- The distance from L to AB.

- m∠ABC

Answers

Answer:

Distance of L from AB = 0.6 in.

m∠ABC = 60°

Step-by-step explanation:

Given:

LB = 1.2 in

LC = 0.6 in

We have to find the distance of point L to AB or length of LD.

From right triangle ΔBCL,

Sin(∠LBC) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

                 = [tex]\frac{LC}{LB}[/tex]

                 = [tex]\frac{0.6}{1.2}[/tex]

                 = [tex]\frac{1}{2}[/tex]

m∠LBC = 30° [Since ∠LBC is an acute angle]

Since, ∠LBC ≅ ∠LBA

m∠LBA = 30°

Now from right triangle ΔLDC,

sin(∠LBA) = [tex]\frac{LD}{BL}[/tex]

sin(30)° = [tex]\frac{LD}{1.2}[/tex]

[tex]\frac{1}{2}=\frac{LD}{1.2}[/tex]

LD = 0.6

Therefore, Distance of point L from AB is 0.6 in.

m∠ABC = m∠ABL + m∠LBC

             = 30° + 30°

             = 60°

can someone help me with this

Answers

Answer:

The first one is 45 hours

The second is 1361

Answers
25.45
26.1361

What slope is perpendicular to:
m = 5/8

Answers

the perpendicular slope would be m=-8/5

The slope that is perpendicular to m = 5/8 is given by; m' = -8/5

When dealing with slope - intercept form of equation of a line, the general equation is;

         y = mx + c

where;

m is the slope

c is the y-intercept

Now, for a line to be perpendicular to a line above that has it's slope as m, the slope of this new line will be the negative inverse of the first slope. This is;  m' = -1/m

Applying that to our question, it means the slope that is perpendicular to m = 5/8 is; m' = -1/(5/8) = -8/5

Read more at; https://brainly.com/question/21441448

Please help! I’ll give brainleist!

Answers

x and y are equal to 36.8
X and Y are 100% equal to 36.8

Angad,malachy and Jim share £30 in A ratio 1:3:1 how much does each person get

Answers

Answer:

Angad=6

Malachay=3×6=18

Jim=6

Step-by-step explanation:

Angad,malachy and Jim share =£30 ratio =1:3:1

Let the part of the Angad=X

=3x

=X

So X+3x+X=30

5x=30

X=30/5

X=6

So part of Angad=6

Malachay=3×6=18

Jim=6

Step-by-step explanation:

A:M:J

1:3:1

let total amt be 5x

5x = 30

x = 6

thus, A get 6dollars , M get 18 and J 6

Topic: ratio and proportions

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

Samson owes his friend
$42.75. If Samson just
got paid $167.25 and
pays back his friend.
How much money will
he have left over?

Answers

the answer would be $124.50:)
Ok .……………………124.50 ok

i need help again sorry

Answers

Answer:

I want say it is C just by how close in proximity it is to E

Step-by-step explanation:

Write a linear function f with f(5)=7 and F(-2)=0.

Answers

Answer:

f(x)=x+2

Step-by-step explanation:

Slope= (7-0)/(5-(-2)) = 7/7 = 1

Y-intercept= 2

substitute the slope, 1, for m and the y-intercept, 2, for b to get:

f(x)=x+2

hope this helps!

The linear function f with f(5)=7 and F(-2)=0 is f(x) = x + 2

f(5) = 7

This means when x = 5 , y = 7

(5, 7)

f(-2) = 0

(-2, 0)

This implies when x = -2 , y = 0

Using the linear function formula,

y = mx + b

where

m = slope

b = y-intercept

Therefore, the function can be represented as follows:

m = 0 - 7 / -2 - 5 = -7 / -7 = 1

Therefore,

y = x + b

0 = -2 + b

b = 2

The function in relation to x can be represented as follows:

f(x) = x + 2

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Lucy owns a bakery. She has 2 cakes baked and can bake 4 cakes every
hour. Write an equation for the number of cakes baked, c, in h, hours. *


equation?

Answers

Answer:

c=4h+2

Step-by-step explanation:

you start of with 2 cakes and every hour you can bake 4

A house costs $18,000, which is 9/10 the cost of a car. A motorcycle costs 1/5 the cost of the car, or 4/5 the cost of 100 cards. How much is the cost of 30 cards?
PLZ PLZ PLZ PLZ PLZ HELP!!!!!!!!!!!!!

Answers

$6750
The ratio of the cards is 4:5, or 18000:22500
22500/100 is 225
225 times 30 is 6750

BRAINLY PLS HELP ME OUT ASP ! NOW PLS !

Answers

Answer:

_

[tex] - \sqrt{10} \\ \sqrt{10 \\ } [/tex]

A and D

Answer:

(-[tex]\sqrt{10}[/tex]) and ([tex]\sqrt{10}[/tex]) are both solutions

Step-by-step explanation:

If you plug in (-[tex]\sqrt{10}[/tex]) for x, you get [tex](-\sqrt{10})^{2}[/tex] which is equal to 10

Also, when you plug in ([tex]\sqrt{10}[/tex]) for x, you get [tex](\sqrt{10} )^{2}[/tex] which is equal to 10

y + 12 = y + 10 + 2

how many solutions does the equation have

Answers

Answer:

infinite

Step-by-step explanation:

(–6)² – (–7)²

I need a step by step process.

Answers

Is the = -13. Is the response

3 (6+4) +26² + (1+-4)2

Answers

Math-way said 700
Not to sure

Answer:

700

Step-by-step explanation:

3 times 10  plus 26 squared plus (1-4) times 2

= 3 times 10 plus 26 squared -3 times 2

=3 times 10  plus 676  minus 3 times 2

=30 plus 676 minus 6

=700!

Simplify the expression -7+(-3)-(-5)


I NEED HELP ASAP​

Answers

Answer:

It should be -5

Step-by-step explanation:

what is the answer to this (-¾)(½)(-⅔) = in simplest form please answer ASAP

Answers

Answer:

1/4

Step-by-step explanation:

cross both 3s and 2s. 1/4 is left.also -×- =+. so it's +1/4

I will mark the brainiest! Please, and thanks! :)
(For the second one, just put it down on a piece of paper and upload a pic)

Answers

The best thing is to have a ruler with the appropriate units to construct these triangles;)

Three times the difference of a number and 5 is the same as twice the number, decreased by 3. Find the number

Answers

Answer:

x = 12

Step-by-step explanation:

3 (x-5) = 2x - 3

3x -15 = 2x - 3

x-15 = -3

x = 12

check:

21 = 21

The number as decribed (Three times the difference of a number and 5 is the same as twice the number, decreased by 3) in the question is; 12

According to the question;

Three times the difference of a number and 5 is the same as twice the number, decreased by 3.

The word problem can be written and solved as follows;

3(x - 5) = 2x -3

3x -15 = 2x -3

3x -2x = 15 -3

x = 12

Read more:

https://brainly.com/question/1640242

Find two consecutive whole numbers that 105 lies between.
____ and ____
whoever gets this correct will get marked brainliest!

Answers

Answer:

The answer is 10 and 11. :) (If that was not the answer you were looking for than I say maybe 104 and 106)

Step-by-step explanation:

First, calculate the square root of 105. It is roughly 10.24695. Then, find out what two whole numbers that number lies between.

Answer:

74,,76

Step-by-step explanation:

x+x+2=150

2x+2=150

2x=150_2

2x=148

2x/2=148/2

x=74

x+2=76 74+76=150

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