Mathematics College

Suppose it costs $ 20 per day and $ 0.12 per mile to rent a car. What is the total bill if the car is rented for 3 days and is driven 140 miles?
The total bill is $_

Answers

Answer 1
20 per day for 3 days = 20 * 3 = 60
0.12 per mile for 140 miles = 0.12(140) = 16.80
for a total cost of : 60 + 16.80 = 76.80 <==

Related Questions

-4x<-12 choose the correct soultion

Answers

-4x<-12
4x > 12
  x > 3

answer
x > 3 

-4x < -12

divide both sides by -4

x > -12/-4

x > 3


note: when multiplying or dividing a negative inequality you flip the direction of it

An 8 foot length of 4 inch wide crown molding costs $16. How much will it cost to buy 40 feet of crown molding?

Answers

Converting feet to inches, 8*12=96 and 96*4=384. Next, 40*12=480. Since 384*x (if x represents the cost per inch of crown molding)=16*100=1600 cents due to that for every inch, we add x amount of money, we can find x to be 1600/384=800/192=400/96=200/48=100/24=50/12=25/6 by simply dividing both the numerator and denominator by 2 each time. Since we add x amount of money for every inch, and we have 480 inches, 480*x=480*25/6=2000 cents=2000/100=20 dollars is our answer

Brandon bought a gallon of paint that covers 160 square feet. He wants to paint a wall that is 10 ft. high and 12 ft. wide. Explain whether he will need more than one gallon of paint. A. No, he won't need more paint. Brandon has enough paint to cover the 22-square-foot wall. B. Yes, he will need more paint. Brandon needs another gallon to cover the 240-square-foot wall. C. No, he won't need more paint. Brandon has enough paint to cover the 120-square-foot wall. D. Yes, he will need more paint. Brandon needs enough paint to cover the 1,200-square-foot wall.

Answers

C. Brandon has enough paint to cover the 120 square-foot wall.


During a 4-month-long drought, the water level in a lake changed by
−3 1/2 feet. The water level changed at the same rate each month.
What is amount the water level changed in 1 month?

Answers

In 4 months, the water level changed in the lake by -3.5 ft.
We want to know the change in one month knowing that the change is the same for all months.
To do that, we can simply do a cross multiplication as follows:
change per month=(1*-3.5)/4 = -0.875 ft

Answer:

-7/8

Step-by-step explanation:

i did the 3.15 Unit Test

                                       

Your Bank account balance was $235 and 24. After two checks were cashed (each for the same amount) your balance is now -45.58. What was the amount of each of those checks?

Answers

235.24 + 45.58 = 280.82

280.82/2 = 140.41

each check was for $140.41

I have a rug has a length that is 2 times the width the area of the rug is 8 square feet What is the length and width of the rug

Answers

length = 4 feet
width = 2 feet

4 feet x 2 feet = 8 feet squared

Hope this helps!

If a refrigerator is a heat pump that follows the first law of thermodynamics, how much heat was removed from food inside of the refrigerator if it released 492J of energy to the room? Joules

Answers

First, we need to define the first law of thermodynamics. This law states that in an isolated system, energy can neither be created nor destroyed, it can just be transformed from one form to another.

Based on this, if we assume that the refrigerator is and isolated system, then if 492 Joules of energy was released into the room, this means that 492 Joules of energy (heat) was removed from food inside the refrigerator. 

A container holds 6 gallon of juice how many in pints

Answers

Okay. A tool to help you out with this is the gallon man. When you look at the gallon man, you see that 8 pints equal 1 gallon. In this case, we’re looking at the amount for 6 gallons. 8 * 6 = 48. A container that holds 6 gallons of juice is equivalent to 48 pints of juice.

△RST is mapped to △R′S′T′ using the rule (x, y)→(x, −y) followed by (x, y)→(3x, 3y) .

Which statement correctly describes the relationship between △RST and △R′S′T′ ?

△RST is congruent to △R′S′T′ because the rules represent a reflection followed by a rotation, which is a sequence of rigid motions.

△RST is congruent to △R′S′T′ because the rules represent a reflection followed by a translation, which is a sequence of rigid motions.

△RST is congruent to △R′S′T′ because the rules represent a rotation followed by a translation, which is a sequence of rigid motions.

△RST is not congruent to △R′S′T′ because the rules do not represent a sequence of rigid motions.

By the way, this question DOES NOT include a picture, so don't ask please.

Answers

The rule (x,y) --> (x,-y) reflects the triangle over the x axis. So far the triangle has not changed size at all. So the triangles are congruent.

However, when we use (x,y) --> (3x,3y), the triangle will get larger. Now the triangle is no longer congruent to the original.

So the answer is choice D. 

When they mention "rigid motions" they mean reflections and translations (aka vertical/horizontal shifts). Dilations are not rigid motions. They do not preserve size. 

Answer:

△RST is not congruent to △R′S′T′ because the rules do not represent a sequence of rigid motions.

Step-by-step explanation:

If ( f ∘ g)(x) = x2 - 6x + 8 and g(x) = x - 3, what is f(x)?

Answers

[tex]\bf \begin{cases} (f\circ g)(x)=x^2-6x+8\\\\ (f\circ g)(x)=f(~~g(x)~~)\\\\ g(x)=x-3\\ \end{cases} \\\\\\ \textit{now, one probability is }x^2-1 \\\\\\ f(x)=x^2-1\implies f(~~g(x)~~)=(x-3)^2-1 \\\\\\ f(~~g(x)~~)=(x^2-6x+9)-1\implies f(~~g(x)~~)=x^2-6x+8[/tex]

A television game has 6 shows doors, of which the contests must pick 2. behind two of the doors are expensive cars, and behind the other 4 doors are consolation prizes. Find the probability that the contestant wins exactly 1 car? no car? or atleast one car?

Answers

In this question, there are 4 consolation door and 2 car doors of total 6 doors. That means for the first door the chance to get consolation is 4/6 and car is 2/6. In second door, only 5 remains so the chance to get consolation is either 4/5 (if 1st door car) or 3/5(if 1st door consolation)

Win 1 car condition: 
1. 1st door car, 2nd door consolation = 2/6 * 4/5 =8/30
2. 1st door consolation, 2nd door car= 4/6 * 2/5 = 8/30
8/30+8/30= 16/30

No car condition
1. 1st door consolation, 2nd door consolation= 4/6 * 3/5= 12/30

At least one car condition
1. 1st door car, 2nd door car = 2/6 * 1/5 =2/30
2. 1st door car, 2nd door consolation = 2/6 * 4/5 =8/30
3. 1st door consolation, 2nd door car= 4/6 * 2/5 = 8/30
2/30 + 8/30 + 8/30= 18/30

Answer:

In this question, there are 4 consolation door and 2 car doors of total 6 doors. That means for the first door the chance to get consolation is 4/6 and car is 2/6. In second door, only 5 remains so the chance to get consolation is either 4/5 (if 1st door car) or 3/5(if 1st door consolation)

Win 1 car condition:  

1. 1st door car, 2nd door consolation = 2/6 * 4/5 =8/30

2. 1st door consolation, 2nd door car= 4/6 * 2/5 = 8/30

8/30+8/30= 16/30

No car condition

1. 1st door consolation, 2nd door consolation= 4/6 * 3/5= 12/30

At least one car condition

1. 1st door car, 2nd door car = 2/6 * 1/5 =2/30

2. 1st door car, 2nd door consolation = 2/6 * 4/5 =8/30

3. 1st door consolation, 2nd door car= 4/6 * 2/5 = 8/30

2/30 + 8/30 + 8/30= 18/30

9+(6-6)x4-(-7-(-2)) solved in order of operations

Answers

(6-6)=0

(-7+2)=-5

9+0×4+5=14

The solution of the given expression will be 14.

What is simplification of an expression?

Usually, simplification involves proceeding with the pending operations in the expression.  

Simplification usually involves making the expression simple and easy to use later.

Given expression as; 9+(6-6)x4-(-7-(-2))

We have to solved in order of operations

1. (6-6)=0

2. (-7+2)=-5

3. Now, substitute the values in the expression;

9 + 0×4 + 5 = 14

Therefore, the solution of the given expression will be 14.

Learn more about simplification;

https://brainly.com/question/17579585

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The time at which the mailman delivers the mail to ace bike shop follows a normal distribution with mean 2:00 pm and standard deviation of 15 minutes.

Answers

There are three questions related to this problem.


First, the probability of the mail will arrive after 2:30 PM


Find the z-score of 2:30 which is 30 minutes after 2:00.


z(2:30) = (2:30 – 2:00)/15 = -30/15 = -2


P(x < 2:30) = P(z<-2) = 0.0228


Second, the probability of the mail will arrive at 1:36 PM

Find the z-score of 1:36 which is 24 minutes before 2:00.


z(1:36) = (1:36 – 2:00)/15 = -24/15 = -1.6


P(x < 1:36) = P(z<-1.6) = 0.0548

 

Lastly, the probability of the mail will arrive between 1:48 PM and 2:09 PM


Find the z-score of 1:46 and 2:09 PM which will result to a z value of 0.034599


P(1:48 < x < 2:09) = P(z<0.034599) = 0.5138

What are the coordinates of the point?

A:(4, −2)

B:(2, 4)

C:(−4, −2)

D:(−2, 4)
A coordinate grid with a dot placed in the second quadrant. The dot is to the left of positive 4 on the y axis and above negative 2 on the x axis

Answers

D -2, 4 is in the second quadrant because the -x brings it to the left side and the positive 4 puts it in the upper of the left side which is the second quadrant

On average, a sample of n = 16 scores from a population with s = 10 will provide a better estimate of the population mean than you would get with a sample of n = 16 scores from a population with s = 5.
a. True
b. False

Answers

when using z-tests what is knownour population mean μ and standard deviation σ are
knownWe used z-test to ask ifour sample mean is different than the population mean.student's t-tests akaone-way t-testsOne-way t-tests compare asample mean to a population mean but allows you to estimate population variability when it is not providedS=estimated population standard deviationSm =estimated standard deviation of the sampling distribution, based on Sgreek letters=population parametersroman letters=based on our sampleestimating variability

We measure sample variability and use it toestimate population variabilityWe measure sample variability and use it to estimate population variability

however, sample variability systematicallyunderestimates population variabilityestimating standard deviation the old 

the denominator wastoo big, will under estimate population varianceestimating standard deviation the old way

SD istoo small estimate population SD (σ)However, sample variability systematically underestimates population variability

this is calledbiasBias occurs when asample statistic systematically differs from a population statisticBias can be due topoor design, non-random sampling, etc.estimating variability the new way 

S will bebigger than SD, better estimate of population SD (σ)estimating variability the new way 

the denominator issmaller, accurately estimate population varianceestimating variability the new way 

S will bebigger than SD, better estimate of population SD (σ)estimating variability

SD^2 is calculated with what in the denominatorn in denominator is biased as an estimatorS^2 calculated with what in denominatorn-1 in denominator is unbiasedS^2 calculated with n-1 in denominator is unbiased

this is need toaccurately infer population variancedegrees of freedom isn-1 in the denominator is called degrees of freedomDegrees of freedom refers to thenumber of scores that are free to vary given
a known parameterDegrees of freedom refers to the number of scores that are free to vary given
a known parameter

here we assumesample mean = population meanIn order to ensure that sample mean = population mean all butone score is free to varyn-1 scores in our sample can vary

The one score that doesn't vary ensures that oursample mean will equal our population meanEstimating one parameter in one-


The volume of a rectangular box can be found using the formula lwh where l represents the length, w represents the width, and h represents the height of the box. What is the volume of a box with the following dimensions?

l = 4 centimeters
w = 5 centimeters
h = 6 centimeters

120 cm 3
456 cm 3
15 cm 3
34 cm 3

Answers

multiply the 3 dimensions together

4*5 = 20 *6 = 120 cm^3

What is the slope of the line passing through the points (−1, 7) and (4, −1)?


2nd picture is the choices I have.

Answers

Slope equation :

m = y₂-y₁/x₂-x₁

We are given the following points :

(-1, 7) & (4, -1)

Simply plug everything in :)

m = y₂ - y₁ / x₂ - x₁

Plug in :)

m = -1 - 7 / 4 + 1

Simplify.

m = -8 / 5

So, the slope is -8/5

The first answer choice is correct.

~Hope I helped~

how many times that a one-to-one function crosses the horizontal line?

Answers

One-to-one means the function will cross ANY horizontal or vertical line at at most one point.

We want to see how many times a one-to-one function crosses the x-axis (this is equivalent to see how many values of x are mapped into y = 0).

We will see that it crosses the x-axis only one time.

A function is a relation that maps elements from one set, the domain, into elements from another set, the range. Such that each element in the domain can be mapped into only one element in the range.

Now we add the restriction that the function is one-to-one, this means that no two elements from the domain can be mapped into the same element from the range.

With this is easy to see that the one-to-one function crosses the horizontal line only once, as the value y = 0 can be assigned to only one value in the domain.

If you want to learn more, you can read:

https://brainly.com/question/4483049

what is the solution?

Answers

If you're looking for c, then the answer is 6 in. I found this answer by using a2+b2=c2 So 4 squared + 5 squared = 41. So then i found the square root of 41 which is 6.40, which rounds to 6.
To find the hypotenuse (the side opposite the right angle) of this right triangle, we turn to one of the oldest and most renowned results in all of mathematics: the Pythagorean Theorem. The Pythagorean Theorem states that the square of the legs of a right triangle is always equal to the square of its hypotenuse (leg²+leg²=hypotenuse²). Here, our legs our 4 and 5 respectively, and our hypotenuse is unknown. Let's call our hypotenuse c. We have:

[tex]4^2+5^2=c^2[/tex]

4² = 16, and 5² = 25, so putting the two together, we get:

[tex]16+25=c^2\\41=c^2\\\sqrt{41}=c[/tex]

41 is prime, so we cannot reduce this radical any further. The measure of our hypotenuse c is √41.

For reference, and for its sheer elegance, I've included a copy of my favorite proof of the Pythagorean Theorem so you can get a feel for why it works.

Divide.
3 5/9 ÷ -2 2/3
Enter your answer as a mixed number, in simplified form, in the box.

Answers

-1 and 1/3 because you convert to a regular fraction and get (32/9)/(-8/3), then you flip the fraction and multiply

Redo of telephone math ..

Answers

I'm sorry I don't know but if you figure it out tell me
Problem 1) correct
Problem 2) correct
Problem 3) incorrect; answer is 8
Problem 4) incorrect; answer is 3
Problem 5) correct
Problem 6) correct
Problem 7) incorrect; answer is 59
Problem 8) incorrect; answer is 99
Problem 9) correct
Problem 10) incorrect; answer is 25
Problem 11) correct
Problem 12) incorrect; answer is 76

88 = W
52 = I
8 = L
8 = L

3 = G
52 = I
70 = V
67 = E

59 = Y
99 = O
31 = U

25 = A 

164 = R
52 = I
76 = N
3 = G

It decodes to "Will give you a ring" which has a double meaning. The first meaning is "I'll give you a wedding ring" and the second is "I'll give you a call" (which is British English)


mr chu is slicing 4 cantaloupes for his class . There are 24 students in the class. If he cuts the cantal to make an equal portion for each student how much of a whole cantal will each student get

Answers

1/6 because 4/24 simplifies to 1/6

Solve for x.

2/5≤x−4

Answers

x >=(22)/(5) Is the answer
   
2/5 ≤ x - 4

Add 4 to both sides.

2/5 + 4 ≤ x 

Simplify.

4 2/5 ≤ x

AND 

x ≥ 4 2/5

~Hope I helped!~

Find the vertices and foci of the hyperbola with equation (x+1)^2/16-(y+5)^2/9=1

Answers

Sent a picture of the solution to the problem (s).

Answer:

B on edge

Step-by-step explanation:

On the pic explanation is right on.

How to find the width of a rectangular prim
n when the length is 6 cm height is 8 cm and surface area is 208 cm²

Answers

Sent a pic of the solution (s).

Is the expression 3x+2x−4 in simplest form

Answers

No, because you would have to simplify like terms. Which the simplest form would be
5x-4

3x+2x-4 is not in simplest form.

What is Expression?

An Expression is Combination of variables, numbers and operators.

The given expression is three x plus two x minus 4

i.e 3x+2x-4

It is not in simplest form because we have to add like terms.

In the above expression we have two terms of same variable.

We have to add 3x and 2x which gives 5x.

So 5x-4 is the simplest form.

Hence  3x+2x-4 is not in simplest form.

To learn more on Expressions click:

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How did you calculate the price of each nickel to begin with? Thanks

Answers

Mike had a jar of nickels that had five more nickels than he originally thought. If the total amount of nickels was $4.35, how many nickels did Mike think he had originally?


The nickels in the jar are worth $4.35.
A nickel is worth $0.05.
To find the number of nickels in the jar, we divide $4.35 by $0.05.
$4.35/$0/05 = 87
There are 87 nickels in the jar.

He thought there were 5 nickels fewer.
87 - 5 = 82
He though there were 82 nickels.

chris has a bag of sweets. there are more than 20 sweets in the bag he shares his sweets equally between six people chris says, "the number of sweets in the packet was prime." is he correct? circle: yes or no, explain your answer below.

Answers

no, this is because a prime number is an uneven number. So it can not be prime.

3/4 x 3 2/3 in simplest form

Answers

Simply you can start off by multiplying the 3 to 2/3 which would equal 6/3 (you multiply the 2 by three and the three on the bottom of the fraction by one) now you multiply 3/4 by 6/3 . so 6 x 3= 18 ; 4 x 3 = 12 ;18/12 reduced is 3/2 which equals 1 1/2


If 1/3 of a sum of money is $21, what is the sum of money?

Answers

The sum of the money equals 7?
Your equation is 1/3x = 21
Divide by 1/3 from both sides
x = 21 / 1/3
x = 21 x 3
x = 63
The sum of money is $63.
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