A business trip will be reimbursed $0.55 per mile. Mr. Jackson has a budget of $70 for the round trip. If he is traveling to a town 61 miles away, then will he be under or over? Prove your thinking.

Answers

Answer 1

Answer:

We know Mr. Jackson will have to pay 0.55 dollars per mile and that he's traveling 61 miles, so, if we want to know. how much will he pay, we can multiply the quantity of miles (61) per the cost of these:

0.55 * 61 = 33.55

So we know he will have to pay 33.55 dollars, and, as the travel is round, considering he will travell the same quantity of miles, he will pay twice

33.55 * 2 = $67.10

He has more budget than the needed for the travel

Answer 2

Answer:

Mr. Jackson will be under his budget.

Step-by-step explanation:

We know that Mr. Jackson has a budget of only $70 for the trip. We know that the trip will be reimbursed $0.55 per mile. Mr. Jackson is traveling 61 miles. Therefore, we need to multiply $0.55 by 61.

61 x 0.55 = $35.55

Since $35.55 is less than $70, he will be under his budget.

Hope this helps! :D


Related Questions

Which fraction can be replaced with 0 when estimating with fractions?

Answers

Answer:

None

Step-by-step explanation:

Answer:

[tex] \frac{0}{1} [/tex]

[tex] \frac{0}{2} [/tex]

[tex] \frac{0}{72} [/tex]

[tex] \frac{0}{-56} [/tex]

[tex] \frac{0}{10} [/tex]

any number as the denominator and 0 as the numerator can be replaced in the place of 0.

Step-by-step explanation:

[tex] \frac{0}{any \: \: integer} = 0[/tex]

Tom reads 42 chapters of a book in 6 hours.
What is his rate in chapters per hour?

Answers

7 books per hour, 42/6 is 7

pls answer quick !!!

Answers

Answer:

A = The greatest common factor would be 9.

B: 45+63= 9*(5+7)

Step-by-step explanation:

Answer:

b is 45+63=9(5+7)

Step-by-step explanation:

Once you know the GCF, you just need to find what the GCF (9 in this case), times what will get you 45 and 63. So we already know that 9 will be on the outside of the parentheses since it's what we're multiplying by. 9 times 5 is 45, so for the first number in the parentheses you'll put 5, and for the second, 9 times 7 is 63, so the second number in the parentheses is 7. You can check by solving it. 9(5+7). Use the distributive property and first you will do 9 times 5, which is 45, then 9 times 7 which is 63, so you'll get 45+63, which is correct.

PLEASEE I REALLY NEED HELp Plus 30 coins
Brainlist too





For each question, solve for the length of the unknown side, as

denoted by the variable. You may round your answers to the nearest

tenth, if necessary. Make sure you show all steps needed to solve the

problem.

Answers

Answers (in order):

I used the Pythagorean Theorem to solve each one:

[tex]h=13[/tex]

[tex]l=9[/tex]

d ≈ 8.0622

l ≈ 6.7082

Hope this helps! :)

Hahahahaha umm I need help thankKss

Answers

Answer:

1

Step-by-step explanation:

Rewrite the following equation in standard form.
y + 7 = 2(x - 6)

Answers

Answer:

(-5)

Step-by-step explanation:

(-5)+7=2(×-6) fahhshzhsuhshzhhsbwysvavaghahahahwhwgwvavvwhhwshahwh

Susie is solving the quadratic​

Answers

Answer:

Option (D)

Step-by-step explanation:

Standard equation of a quadratic function is,

ax² + bx + c

Comparing this function with the given quadratic function,

f(x) = 2x² - 4x - 3

a = 2, b = -4 and c = -3

By using quadratic formula to get the value of x,

x = [tex]\frac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

  = [tex]\frac{-(-4)\pm \sqrt{(-4)^2-4(2)(-3)} }{2(2)}[/tex]

  = [tex]\frac{4\pm\sqrt{16+24}}{4}[/tex]

  = [tex]\frac{-4\pm \sqrt{40}}{4}[/tex]

  = [tex]\frac{-2\pm \sqrt{10}}{2}[/tex]

Therefore, Susie made a mistake in step IV.

Option (D) is the answer.

If the base number is 2/3 and the power is 5.
answer must be a fraction
please explain i need this ASAP!!
WILL GIVE BRAINIEST

Answers

Answer:

32/243

Step-by-step explanation:

do 2 to the 5th and put it above 3 to the 5th

32/243 that’s the answer

the table below shoes the rates for two duplicating companies. quick copy copy place initial fee of $5.00 initial fee of $10.00 $0.06 per page $0.04 per page the total cost, c, is dependent on the number of pages, p, that are duplicated. which of these systems of equations represents this situation? p = 5 + 6c p = 10 + 4c ⊝ c = 5 + 6p c = 10 + 4p ⊝ p = 5 + 0.06c p = 10 + 0.04c ⊝ c = 5 + 0.06p c = 10 + 0.04p

Answers

Answer:

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The system of equations representing the rates for two duplicating companies are -

C[1] = 5 + 0.06x

C[2] = 10 + 0.04x

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the rates for two duplicating companies. There are two different rates as-

[1] > initial fee of $5 and $0.06 per page.

[2] > initial fee of $10.00 and $0.04 per page.

For the [1] company, we can write the equation as -

C[1] = 5 + 0.06x

For the [2] company, we can write the equation as -

C[2] = 10 + 0.04x

So, the system of equations will be -

C[1] = 5 + 0.06x

C[2] = 10 + 0.04x

Therefore, the system of equations representing the rates for two duplicating companies are -

C[1] = 5 + 0.06x

C[2] = 10 + 0.04x

To solve more questions on equation modelling, visit the link below-

brainly.com/question/9144182

#SPJ2

Fill in the missing angles (GIVING BRAINLIEST, THANKS, and 15 Points)

Answers

Answer:

theres no picture availible

Step-by-step explanation:

Simplify the expression.
- 7 + 3 - 14 + 2

Answers

Answer:

-4 - 16

Step-by-step explanation:

Answer:

-16

Step-by-step explanation:

you just use a calculator lol :)

please help meeeeeeeeeee

Answers

A straight line is 180 degrees so the two angles together must equal 180. 180-54=126

Which numbers are 1.3 units away from 18 on the number line?

Answers

Answer:

Step-by-step explanation:

is 1.3 units from 0.4 on a number line. __is 1.3 units from 0.4

Hannah took $50.00 to go shopping and she bought 2 shirts for $17.00 each how change did she have left

Answers

Answer: Hannah had $16.00 left.

Step-by-step explanation: First, you add $17.00 plus $17.00 or $17.00 times 2 which gives you $34.00. Then, you subtract $50.00 minus $34.00 which gives you $16.00.

Tanya is printing a report. There are 92 sheets of paper in the printer, and the number of sheets of paper p left after t minutes of printing is given by the function p(t) = −8t + 92.

Answers

You missed a small portion of the question in the end. If I am not mistaken, I am able to find the complete question which you should have added. Anyways, this would help you clear your concept as I would explain the context.

Here is the complete question:

Tanya is printing a report. There are 92 sheets of paper in the printer, and the number of sheets of paper p left after t minutes of printing is given by the function p(t) = -8t + 92.

How many minutes would it take the printer to use all 92 sheets of paper?

Answer:

It would take 11.5 minutes for the printer to use all 92 sheets of paper

Step-by-step explanation:

Given:

Tanya is printing a report. There are 92 sheets of paper in the printer, and the number of sheets of paper p left after t minutes of printing is given by the function p(t) = −8t + 92

To determine:

How many minutes would it take the printer to use all 92 sheets of paper?

Given the function

[tex]p(t) = -8t + 92[/tex]

We know that when all the 92 sheets of paper will be printed, there will be no more sheets left to be printed.

Therefore, we need to substitute p(t) = 0 in the given function to determine the value of time in minutes

[tex]0 = -8t + 92[/tex]

[tex]8t = 92[/tex]

Divide both sides by 8

[tex]\frac{8t}{8}=\frac{92}{8}[/tex]

[tex]t=\frac{23}{2}[/tex]

[tex]t = 11.5[/tex] minutes

Therefore, it would take 11.5 minutes for the printer to use all 92 sheets of paper

Liliana has $5.60 to spend on tape. The tap cost $0.07 per foot. How many feet of tape can she buy? Which equation matches the scenario explained above?

Answers

Answer:

she can buy 70 ft tape

Step-by-step explanation:

5.6 ÷ 0.07

A certain brand of tea costs $7.99 for 16.2 ounces.

What is the unit rate?

Enter your answer, rounded to the nearest cent, in the box.

$
per ounce

Answers

Answer:

49 cents per ounce

Step-by-step explanation:

49 cents per once,because if you divide $7.99/16.2 once’s you’ll get .49 cents :)

100PTS PLEASE GIVE EXPLANATION
(I really need help please)

2x + 6y= 12

X + 3y= 6


In solving the system of equations shown above, Sean showed the following steps:

Step 1: x = 6 – 3y

Step 2: 2(6-3y) + 6y = 12

Step 3: 12 – 6y + 6y = 12

Step 4: 12 = 12


Sean’s work is correct. However, there are no variables in Sean’s final step. What can he state as the solution of the system?

Answers

Answer:

The system has infinitely many solutions

Step-by-step explanation:

There are no variables left. And the final equation is correct.

It means the system is going to be correct for any value of variables. So there are infinitely many solutions

Answer:

Step-by-step explanation:

There are two equations in the question

[tex]2x+6y=12\ -->Equation\ 1\\\\x+3y=6\ -->Equation\ 2\\\\[/tex]

If we take 2 common from the first Equation it becomes,

[tex]2(x+3y)=12\\\\x+3y=12/6\\\\x+3y=6\\[/tex]

Now we can see that both the Equations are similar which means they would have the same graph.

Since both the equations have the same equation of line they have infinitely many solutions which means both the lines intersect at each and every point on the line, since both the lines are on top of each other.

We can also see that in Step 4 where 12 = 12 there are no variables in the equation which also means that the work is correct and Sean can say that the system of equations is consistent and dependent which means they have infinite number of solutions

what is the value of sin 70

Answers

0.77389068155

EXPLANATION

sin 70 = 0.77389068155

0.77389068155
..


......

Marlene expects her gross income to be $54,000 this year, and she expects her required deductions to amount to $15,000. Her employer covers 90% of the cost of a $4800-per-year health insurance plan and 80% of the cost of a $900-per-year life insurance plan, with the remainder of the cost coming out of Marlene's pay, and Marlene also expects to contribute 8% of her gross income this year to her 401(k) plan. She wants to calculate how much she will receive for each of her bimonthly paychecks.

Answers

Answer:

Marlene will receive $1,417.50 for each of her bimonthly paychecks.

Step-by-step explanation:

This can be calculated using the following 3 steps:

Step 1: Calculation of annual deductions to bear by Marlene

Required deductions = $15,000

Contribution to cost of health insurance plan per-year = $4800 * 10% = $480

Contribution to cost of life insurance plan per-year = $900 * 20% = $180

Contribution to this year's 401(k) plan = $54,000 * 8% = $4,320

Step 2: Calculation of annual paychecks

Annual paychecks = Gross income - Required deductions - Contribution to cost of health insurance plan per-year - Contribution to cost of life insurance plan per-year - Contribution to this year's 401(k) plan = $54,000 - $15,000 - $480 - $180 - $4,320 = $34,020

Step 3: Calculation of bimonthly paychecks

Bimonthly paychecks = Annual paychecks / 24 = $34,020 / 24 = $1,417.50

Therefore, Marlene will receive $1,417.50 for each of her bimonthly paychecks.

6. What is the value of x in the following system of equations?
x + y = -10
y = x - 2

Answers

Plug in x-2 for y
x + x - 2 = -10
2x = 12, x = 6
The value of x is 6

Answer:

X= -4

Step-by-step explanation:

Hello. For to solve that, you need to use the sustitution method:

1. You need clear X in the first equation and put in the second

X+Y = -10

X = -10-Y

2.  Y = X-2, then you replaced the X in this equation:

Y = (-10-Y) - 2

Y+2=-10-Y

2Y=-10-2

2Y= -12

Y= -12/2

Y=-6

3. Now you use the Y value for to solve X:

X=-10-Y, then

X =- 10-(-6)

X = -4

HELP MEE!!! Make sure to simply please

Answers

Answer:

YOUR CAMERA IS BAD I CANT SEE ANYTHING

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

You have a bag with 6 green marbles, 15 blue marbles, 8 red marbles, 1 yellow
marble. What is the probability of pulling out a blue marble?

Answers

Answer:

1 / 2

Step-by-step explanation:

Total # of marbles in the bag = 30

Total # of blue marbles in the bag = 15

Probability of pulling a blue marble = # of blue /  total # of marbles

Probability = 15 / 30

Simplify = 1 / 2

The graph of is shown on the grid.







Which ordered pair is in the solution set of ?

Answers

Answer:

where's the graph rn ?

Step-by-step explanation:

is this question complete?

Be a bit more specific

SCHOOL PROJECT Green Valley Middle School is
selling wrapping paper. For each roll of wrapping paper
sold the school receives 45 cents. How many rolls of
wrapping paper must be sold to reach their goal of at
least $81?

Answers

Answer:

180 rolls.

Step-by-step explanation:

0.45x = 81

x = 81/0.45

x = 180


A person can pay $26 for a membership to the science museum and then go to the
museum for just $1 per visit. What is the maximum number of visits a member of the
science museum can make for a total cost of $34?

Answers

Answer:

8 visits

Step-by-step explanation:

26+8 visits (1 dollar a visit)= 34

Answer:

8

Step-by-step explanation:

a) -0.30103 b) -1.69897 c) 9.69897 d) 0.69897​

Answers

Answer:

[tex]\log \:_{10}\left(\frac{1}{2}\right)=-\log \:_{10}\left(2\right)=-0.30102[/tex]

Thus, option A is true.

Step-by-step explanation:

Given the expression

[tex]log\left(\frac{1}{2}\right)[/tex]

[tex]=\log _{10}\left(2^{-1}\right)[/tex]

[tex]\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right),\:\quad \:x>0[/tex]

[tex]\log _{10}\left(2^{-1}\right)=-1\cdot \log _{10}\left(2\right)[/tex]

so the expression becomes

[tex]=-1\cdot \log _{10}\left(2\right)[/tex]

[tex]\mathrm{Multiply:}\:1\cdot \log _{10}\left(2\right)=\log _{10}\left(2\right)[/tex]

[tex]=-\log _{10}\left(2\right)[/tex]

substituting the value of log 2 = 0.30103

[tex]\:=-0.30102[/tex]

Thus,

[tex]\log \:_{10}\left(\frac{1}{2}\right)=-\log \:_{10}\left(2\right)=-0.30103[/tex]

Therefore, option A is true.

Please help i need it really bad :(((

Answers

Answer:

2 loaves of bread

Step-by-step explanation:

The equation becomes

3b + 18 = 24 (because they said 18 rolls were sold)

you would subtract 18 from both sides to get 3b = 6

divide both sides by 3 and you get b = 2

Beth is putting up a fence in her yard so her dog can play outside. She purchased 80 feet of fencing. If the fenced area is a rectangle with a width of 30 feet, what is the length of the fenced area?

Answers

Answer:

10 feet

Step-by-step explanation:

The formula for the Perimeter fo a rectangle

= P = 2L + 2W

Where:

L = Length

W = Width

From the question

P = 80 feet

W = 30 feet

Hence:

80 = 2L + 2(30)

80 - 2(30) = 2L

80 - 60 = 2L

20 = 2L

L = 20/2

L = 10 feet

Hence, the length of the fenced area = 10 feet

Help meeee!will give brainliest!

Answers

It is (0,-1) hope that helps

Answer

(2,0) Brainliest please

Step-by-step explanation:

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