A car rental agency charges $70 per day, which includes 100 miles. For each mile over 100 miles, there is an additional cost of $0.40 per
Write an equation relating m, the number of miles driven, if the total cost for a one-day rental was $212.

Answers

Answer 1

Answer:

212=70+(m X 0.40)

Answer 2

If $212 is the total cost for a one-day rental, the number of miles driven is 455 miles.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Cost of car rent per day for 100 miles = $70

Additional cost per mile = $0.40

Let m = number of miles driven

Total cost for one day rental = $212

The equation that represents the additional m = miles driven for a day that cost $212 is:

212 - 70 = 0.40m

142 = 0.40m

m = 142 / 0.40

m = 355

This means 355 additional miles were driven.

The number of miles driven for the day is:

= 100 + 355

= 455 miles

Thus if $212 is the total cost for a one-day rental, the number of miles driven is 455 miles.

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Related Questions

in the figure, c // d. What are the measures of <1 and <2? Enter your answers in the boxes. Just write the numbers. (not the degree symbols)

Answers

Answer:  <1 = 105° and <2 = 75°

Step-by-step explanation:

The information we have is the 75 degree angle already provided. Using our knowledge on transverses we know a 180 degree angle is a straight line (we happen to have two of these (c and d)). Using the corresponding angle theorem we know angle 2 is equivalent to 75 degrees. Supplementary angles refer to angles that add up to 180 degrees. Angle 1 and 2 are supplementary so from there we solve.

180 - 75 = 105

<1 = 105 degrees

Which expression is equivalent to 6/7 divided by 3/5 ?

A. 6/7 x 5/3

B 6/7 x 5/3

C 7/6 divided 3/5

D 5/3 divided 6/7​

Answers

Answer:

A.

Step-by-step explanation:

6/7  / 3/5   we invert the divisor and multiply:

= 6/7 * 5/3

I need quick help!!!

Answers

Answer:

it is 6...................

pLEASE HELP ME ASAP FOR 9 AND 10

Answers

Answer:

9)

x^2 + 2x + 1 = (x + 1)^2

10)

x^2 - 6x + 9 = (x - 3)^2

Step-by-step explanation:

To complete the square, add the square of half of the x-term coefficient.

Then use the factoring of a perfect square trinomial.

a^2 + 2ab + b^2 = (a + b)^2

a^2 - 2ab + b^2 = (a - b)^2

9)

x^2 + 2x + 1 = (x + 1)^2

10)

x^2 - 6x + 9 = (x - 3)^2

Can someone please answer this please for god's sake

Answers

Answer:

x = 36 degrees

y = 48 degrees

Step-by-step explanation:

The two given triangles are congruent

Hence, we can say that the interior angles are equal

We shall use the angle markings on each of the triangles

Using the markings, we can see that y is 48 degrees

Now, let us find the last angle measure of the first triangle

Mathematically, the sum of angles in a triangle is 180

Thus;

108 + 48 + A = 180

A = 180 - 48 - 108

A = 180 - 156 = 24

Now, the measure 2x-y is equal to this;

Hence;

2x -y = 24

2x = 24 + y

we have that y = 48

2x = 24 + 48

2x = 72

x = 72/2

x = 36 degrees

Yahira collects 3,750 ounces of rainwater in the rain barrel outside her house. If the measurement lines count by 10, how many lines did the water reach? Type your numerical answer in the box below.

Answers

Answer:

375 lines

Step-by-step explanation:

Total ounces of rain water in the barrel = 3,750 ounces

Measurement lines in the barrel = 10 ounces per line

how many lines did the water reach?

Number of lines the water reach = Total water in the barrel / measurements per line

= 3,750/10

= 375 lines

The water in the barrel reach 375 lines

the linear function g is defined by g(x)=4x. show that g(3) and g(2) have a difference of 4.

Answers

Answer:

the answer is D.

Step-by-step explanation:

well, the y-intercept for f(x) is at  

as you can see from the slope-intercept form is at 4, and it has an slope of 2/3.

for g(x), well an y-intercept is when x = 0, what is it from that table?  well, is at 0,3, so when x = 0, y = 3, so no dice on that one.

c)

whenever an x-intercept occurs, y = 0, for f(x) that's at  

what about the x-intercept for g(x)?  well, let's check, when is y = 0?  aha!  at -9, 0, so when y = 0, x = -9, so no dice on that one either.

d)

well, what is the slope of g(x) anyway?  well, let's pick two points off the table to get it hmmm the first two let's use,

and from a), using the slope-intercept form, we know f(x) has a slope of 2/3.

well, 2/3 is larger than 1/3, so no dice.

b)

well, you already know.

Which steps are correct to solving this?

Answers

Answer:

it will mist likely be A hope this helps

Manager Mark counted the number of innings each Shire Sharks pitcher pitched during the Soiltop Tournament. Calvin pitched 11 innings, Brody pitched 5 innings, Thom pitched 12 innings, Shawn pitched 7 innings, and Harley pitched 5 innings.
Find the mean absolute deviation (MAD) of the data set.

Answers

Answer:

Step-by-step explanation: 55

A square box lid has an area of 50 square inches. Which is the best estimate of the length of one side?

Answers

Answer: 7.1 inches

Step-by-step explanation:

The area of a square is simply the square of one of its length. Therefore since we are informed that the area of the square box is given as 50 inches².

Then the best estimate of the length of one side will be the square root of 50 which will be:

= ✓50

= 7.1 inches approximately

Tell whether xy = 8 shows direct variation, inverse variation, or neither.

Answers

Answer:

inverse

Step-by-step explanation:

y = k/x indicates inverse variation, which is the same as xy = k

in this particular problem, k = 8

What is the domain and range topic is (parabola)

Answers

Step-by-step explanation:

domain is all real positive numbers. x> 0

range is y>= -1

A survey of 11 students showed that 8 liked science, 7 liked mathematics, and 4 liked both. How many students just liked science

Answers

Answer:

4 I guess..........not sure but my answer is 4

Determine whether the pair of lines is parallel perpendicular or neither 26x+2y=4 and -3x+39y=-15

Answers

Because they are crossing, these are perpendicular lines for both

A rectangle has a perimeter of 30 yards. If one side is 5 yards long, how long is the other side?
A. 15 yards
B. 25 yards
C. 10 yards
D. 30 yards

Answers

Answer:

C. 10

Step-by-step explanation:

5+5=10

10+10=20

10+20=30

Answer:

The other is 10 yards long

Step-by-step explanation:

For a given rectangle

Perimeter (P) = 30 yards

and one of rectangle is 5 yards

Now,

Perimeter of rectangle

P = 2l + 2b

30 = 2(5) + 2b

30 = 10 + 2b

30 - 10 = 2b

20 = 2b

b = 20 ÷ 2

b = 10 yards

Thus, The other is 10 yards long

-TheUnknownScientist

The cracker manufacturer is trying to determine the best dimensions for the boxes to hold their product so that they use the least amount of cardboard.

A rectangular prism with length of 6 inches, width of 4 inches, and height of 12 inches. A rectangular prism with length of 7 inches, width of 6 inches, and height of 9 inches.

Which box uses less cardboard, and how much less cardboard does it use?
A. The box on the right uses 30 inches squared less cardboard.
B. The box on the left uses 30 inches squared less cardboard.
C. The box on the right uses 90 inches squared less cardboard.
D. The box on the left uses 90 inches squared less cardboard.

Answers

Answer:

B, the box on the left used 30 in square units less cardboard.

Step-by-step explanation:

I took this question on my quiz and got it right.

Answer:

Step-by-step explanation:

A teenager has 8 tee shirts, 2 belts, and 5 pairs of jeans. How many different outfits can he wear, assuming that he must wear a belt to keep those pants up and keep that shirt tucked in?​

Answers

Answer: 80 ways

Step-by-step explanation:

If 8 tee shirts can be worn in 8 ways  

similarly for 2 belts = 2 ways

five pair of jeans= 5 ways  

so total number of ways=5*2*8=80 ways

La ecuación de la recta que lasa a través de los puntos P1 (2,5) y P2 (4,11) es: a) 3x+y+1=0 b)3x-y-1=0 c) 3x-y+1=0

Answers

Respuesta:

3x-y-1 = 0

Explicación paso a paso:

La forma estándar de ecuación de una línea se expresa como y = mx + b

M es la pendiente

b es la intersección con el eje y

Dada la coordenada P1 (2,5) y P2 (4,11)

Pendiente m = y2-y1 / x2-x1

m = 11-5 / 4-2

m = 6/2

m = 3

Sustituya m = 3 y (2,5) en y = mx + b

5 = 3 (2) + b

5 = 6 + b

b = 5-6

b = -1

Obtén la ecuación

y = 3x-1

Igualar a cero

y - 3x +1 = 0

Multiplicar por -1

3x-y-1 = 0

Esto da la ecuación requerida

Rewrite the expression by combining like terms. 3y + 5x2 + 10x + 2x2 + 15x – 3y​

Answers

Answer:

7x²+ 25x

Step-by-step explanation:

Reggie wants to save $86.10. He plans to save $10.25 each month.

For how many months does Reggie need to save?


0.80 months

0.84 months

8.00 months

8.40 months

Answers

Answer:

86.10/10.25= 8.4

The answer is the 4th one

Step-by-step explanation:

86.10/10.25
= 8.4
So answer will be 8.40 months

HELP PLEASE 24 POINTS

Answers

Answer:

reflection

Step-by-step explanation:

it is being REFLECTED over the x axis so this makes it a reflection

pls mark brainliest I need it

Ariel is making bracelets. She bought a 15% foot long string, and a 1243 foot long string. If each
bracelet requires 42 of a foot of string, how many bracelets can Ariel make?

Answers

Answer:

She can make 55 bracelets

Step-by-step explanation:

We have the correct question as follows;

Ariel bought a 15 1/6 foot long string, and a 12 1/3 foot long string. If each bracelet requires 1/2 of a foot long string, how many bracelets can Ariel make

we have the solution as follows

Firstly, we need to find the total length of the strings bought

We can get this by adding what was bought

That would be;

15 1/6 + 12 1/3

= 91/6 + 37/3

= (91 + 74)/6 = 27 1/2 ft

From the question, each bracelet requires 1/2 ft long

so the number of 1/2 ft long bracelets we can find will be;

27 1/2 divided by 1/2

= 55/2 * 2/1

= 55

3(2x+4)=2(9+2x)
I need Help with this one!
And then after, how do I change it so it has no solution at all.

Answers

Answer:

x = 3

Step-by-step explanation:

3(2x+4)=2(9+2x)

6x+12=18+4x

6x-4x=18-12

2x=6

x=3

pd: i solve this as an ecuation

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

I believe it’s B I apologize if it’s wrong
I agree with the fist answer it’s B.

please help with this one. i will give brainliest

Answers

70.. not pretty sure tho

Answer:

B: 170

Step-by-step explanation:

Can anyone help me with this I’m not too god at math an this is worth 50 points

Answers

Answer:

The answer is irrational

sam is building a model or an egyptian pyramid out of cardboard. he plans to make asquare base with an edge of 16 inches. The height of each triangular face is 9 inches . Determine the total amount of cardboard he will use for all the surfaces in square inches

Answers

Answer:

544

Step-by-step explanation:

What 6 over 4 simplified

Answers

Correct answer is 6/4 = 3/2 = 1 1 2
The answer for this question is 3/2

suppose you lean out a window of a tall building and use a sling to launch a stone straight up. the stone starts with a velocity of 69 feet per second. it leaves the sling 365 feet above the ground.

Answers

Answer:

y= 69x + 356

Step-by-step explanation:

y= 69x + 356

It goes 69 feet per second hence the 69x and it starts 356 feet in the air

The height of the stone above the ground at any time t can be described by the quadratic function h(t) = -16t^2 + 69t + 365.

How to write a function?

Assuming that the acceleration due to gravity is -32 feet per second squared (neglecting air resistance), we can use the following kinematic equation to describe the height of the stone as a function of time:

h(t) = -16t²+ vt + h₀

where:

h(t) is the height of the stone above the ground at time t

v is the initial velocity of the stone (69 feet per second, in this case)

h₀ is the initial height of the stone (365 feet above the ground, in this case)

Substituting the values of v and h0, we get:

h(t) = -16t² + 69t + 365

Therefore, the height of the stone above the ground at any time t can be described by the quadratic function h(t) = -16t² + 69t + 365.

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Emerson has some yellow stickers and some green stickers. She
has 30 green stickers and the ratio of vellow stickers to green
stickers is 2.5. How many yellow stickers does Emerson have?

Answers

answer:

12

explanation:


the ratio is 2:5 so we know that for every 5 green stickers, Emerson has 2 yellow stickers.

So, we know that 5 goes into 30 6 times so all you have to do is 6 x 2 = 12