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

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 :)

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.

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

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!

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

(–6)² – (–7)²

I need a step by step process.

Answers

Is the = -13. Is the response

help please :(((aaaa

Answers

Answer:

i think its b

Step-by-step explanation:

Answer:

it for sure the second one

Step-by-step explanation:

Which of the following relationships represents joint variation?

Answers

Answer:

y=7x

Step-by-step explanation:

that what I heard in math ok

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

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)

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:

Please help! I’ll give brainleist!

Answers

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

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

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°

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

read more: https://brainly.com/question/13578480?referrer=searchResults

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

y + 12 = y + 10 + 2

how many solutions does the equation have

Answers

Answer:

infinite

Step-by-step explanation:

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:

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;)

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

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


I NEED HELP ASAP​

Answers

Answer:

It should be -5

Step-by-step explanation:

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

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

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

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

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!

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!

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

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
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