Tony will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $60 and costs an additional $0.30 per mile driven. The second plan has no initial fee but costs $0.80 per mile driven. How many miles would Tony need to drive for the two plans to cost the same?

Answers

Answer 1
Hello.

The first car has a cost that can be calculated as a function of the miles driven:

f(m) = 60 + 0.3m

The second has a similar comportment:

s(m) = 0.8m


We want f(m) = s(m).

60 + 0.3m = 0.8m

0.8m - 0.3m = 60

0.5m = 60

m = 60 / 0.5

m = 120.

Tony would need to drive 120 miles to pay the same amount. 

Related Questions

What will it cost to tile a kitchen floor that is 12 feet wide by 20 feet long if the tile cost $8.91 per square yard?

Answers

$2138.40 because you multiply 12 and 20 to get the number of tiles and multiply it by 8.91 to get the cost for all the tiles

Answer:

Step-by-step explanation:

What you have todo is to multiply the length by the width

Which is 20×12 = 240

Then multiply 240 by 8.91

This should give you $2,138.4

Which equation can be used to solve this problem?

Molly bought 6 packs of trading cards. Each pack cost $3. She also bought 1 pack of gum. It cost $2. How much did Molly spend altogether?

A.
6 ÷ 2 × 3 = x

B.
6 + 3 × 2 = x

C.
6 × 3 ÷ 2 = x

D.
6 × 3 + 2 = x

Answers

the answer is d) 6 * 3 + 2 =x

2/11 x 5/7 = ? PLEASE ALSO EXPLAIN THAAAANKS

Answers

Hi,

2/11 * 5/7

When we do a multiplications of two fractions, we should keep in mind that we are multiplying the numerators (2 and 5) and the denominators (11 and 7).

Firstly, we check if there are numbers to simplify by cross-multipling.

In this case, we don't have to simplify.

So 2*5 = 10
11*7 = 77

Final answer 10/77

help me pls I'm stuck......

Answers

subtracting the smaller number from the larger number


ex. 1+ -5 becomes 5-1 = 4, since the larger number is the negative, the answer is negatives oit is -4


ex2. -5+7 = 7-5 = 2, since the larger number is positive, the answer is positive 2

The question is above

Answers

For 11, we can subtract x from both sides for the first equation to get y=8-x, making the slope -1 for both equations and therefore making it parallel.

For 13, we can solve for y in the first equation by subtracting 14 from both sides and therefore getting 2x-14=y. For the next one, we can subtract 4x from both sides to get 10-4x=2y. Dividing both sides by 2, we get 10-2x=y. Since for the equations to be parallel they must be the same and for perpendicular they must be -1/(slope), this fits neither.

Using those two explanations, I implore you to solve the other two on your own!

How to factor: 15x^2y^3 + 10xy^2z

Answers

Since 5 is a factor of 10 and 15 (by guess and check with factors of 10 and seeing if they're factors of 15), we get 5(3x^2y^3+2xy^2z). Next, y^2 is in both - remember that when multiplying exponents, you add them up, so we end up with 5y^2(x^2y+2xz). Lastly, x (aka x^1) is in both, so we factor that out to end up with 5y^2x(xy+2z)

A cube has eight congruent faces.
true
false

Answers

False, it has 6 congruent faces

Find the value of x if B is between A and C AB=4x-9 BC= 3x+5 and AC = 17

Answers

We are assuming A, C and B are on the same line segment AC, of length 17, with B a point in the segment.


|AC|=|AB|+|BC|

17= (4x-9)+(3x+5)

17= (4x+3x)+(-9+5)

17=7x-4

7x=17+4

7x=21

x=21/7=3


Answer: x=3

What is the rate of change of the volume of a ball with respect to the radius when the radius is?

Answers

V=4/3*pi*r^3
dV/dr=4/3*pi*d(r^3)/dr =4/3*pi*(3*r^2)=4*pi*r^2

Deangelo has $7 worth of dimes and quarters in a jar. He has 7 more quarters than dimes.
How many of each coin does he have?

Answers

d=number of dimes
q=number of quarters

let's count everything in cents
dimes are worth 10 cents
quarters are worth 25 cents

10d+25q=700
divide both sides by 5
2d+5q=140


he has 7 more quarters than dimes
q=7+d
subsitute 7+d for q in other equation

2d+5q=140
2d+5(7+d)=140
2d+35+5d=140
7d+35=140
minus 35 both sides
7d=105
divide both sides by 7
d=15

sub back

q=7+d
q=7+15
q=22


22 quarters and 15 dimes
Deangelo has 15 dimes and 22 quarters

Hope this helps

Marcus has $40 in his pocket. Joseph has twice as much as Marcus; Jenna has half as much as Marcus, and Sam has 1/3 as much as Marcus. Order the individuals based on the amount of money they have from least to greatest

Answers

Marcus : 40$ Joseph, twice as much as Marcus : 40x2 : 80$ Jenna, half as much as Marcus : 40/2 : 20$ Sam, 1/3 as much as Marcus : 1/3 x 40 : (40x1)/3 : 13.33 In the order from least to greatest : Sam - Jenna - Marcus - Joseph

max is four years younger than his sister brenda. the total of their age is 16. write and solve an equation to find their ages.

Answers

X is Brenda 
X - 4 is Max 

X + (X - 4) = 16 
2X -4 = 16 
2X = 20 
X = 10 
This means that Max is 6 and Brenda is 10

X and y are supplementary angles y measures 97

Answers

its easy supplementary angles equal to be 180 so you take 180-97 and it equals 83 so x =83 and y=97

The ratio of male students to female students is 4 to 5. if there is a total of 6192 students, find the number of male syudents to the number of female students

Answers

5+7=12 is the number of elements.
16,200/12=1350 value of each element.
5+1350=6,750 males.
7*1,350=9,450 females.
Proofs:
6,750+9,450=16,200
5/7=6,750/9,450
5*9,450=7*6,750
47,250=47,250

Give an example of two numbers that differ by an order of magnitude

Answers

if two numbers have the same order of magnitude, they are about the same size.The order of magnitude is used to make approximate comparison.

if two numbers differ by an order of magnitude then one is about ten times larger than the other. If they differ by two orders of magnitude then they differ by a factor of 100

hope i helped :-)

Final answer:

The term order of magnitude refers to the scale of a value expressed in the metric system. Each power of 10 in the metric system represents a different order of magnitude. For example, 10¹, 10², 10³, and so forth are all different orders of magnitude.

Explanation:

The term order of magnitude refers to the scale of a value expressed in the metric system. Each power of 10 in the metric system represents a different order of magnitude. For example, 10¹, 10², 10³, and so forth are all different orders of magnitude. All quantities that can be expressed as a product of a specific power of 10 are said to be of the same order of magnitude. For example, the number 800 can be written as 8 x 10², and the number 450 can be written as 4.5 x 10². Thus, the numbers 800 and 450 are of the same order of magnitude: 10². Order of magnitude can be thought of as a ballpark estimate for the scale of a value. The diameter of an atom is on the order of 10⁻⁹ m, while the diameter of the sun is on the order of 10⁹ m.

The value for ss can never be less than zero.
a. True
b. False

Answers

It is true that the value of ss can never be less than zero because if the value of s is a negative, ss will be a postive since a negative times a negative equals a positive. If the value of s is a positive, ss will still be a positive because a positive times a positive equals a positive.

For example, S= -3

-3(-3)= 9

Another example, S= 3

3(3)=9

Therefore, it is true that the value of ss can never be less than a zero.

Hopefully, this helps!



A wire is first bent into the shape of a rectangle with width 5in and length 13in. Then the wire is unbent and reshaped into a triangle. If each side of the triangle has equal length, what is this length?

Answers

Total length of the wire = 2*13 + 2*5 = 26 + 10 = 36 in.

so length of each side of the triangle would be 36/3  = 12 ins.

Length of each side of a triangle with equal measurements is equals to [tex]12in[/tex].

What is perimeter?

" Perimeter is defined as the total length around the boundary of any two dimensional geomertic shape."

Formula used

Perimeter of a rectangle [tex]= 2 ( L + W)[/tex]

[tex]L =[/tex] length of the rectangle

[tex]W =[/tex] Width of the rectangle

Perimeter of a triangle with equal length [tex]= 3s[/tex]

[tex]s =[/tex] side length of a triangle

According to the question,

Given,

Length of a rectangle [tex]'L'= 13 in[/tex]

Width of a rectangle [tex]'W' = 5 in[/tex]

Substitute the value in the formula we get,

Perimeter of a rectangle [tex]= 2( 13 + 5)[/tex]

                                          [tex]= 36 in[/tex]

Substitute the value in the perimeter of a triangle with equal side length,

[tex]3s = 36 in\\\\\implies s = \frac{36}{3} \\\\\implies s = 12in[/tex]

Hence, Length of each side of a triangle with equal measurements is equals to [tex]12in[/tex].

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If AB - 27 and BC=13 then find the length of AC

Answers

AB = 27
BC = 13

AC = AB + BC

AC = 27 + 13

AC = 40

hope this helps
so you would just add AB + BC = AC

27 + 13 = AC

AC= 40

at 3:00a.m,the temperature is -5°F. Between 3:00a.m. and 6:00 a.m.,the temperature drops by 12°F. Between 6:00a.m. and 9:00a.m., the temperature rises by 4°F. What is the temperature at 9:00a.m.?

Answers

I believe the answer is -14.

Hope this helps!
The temperature at 9:00 AM is -13°F.

Two cars start at the same time, but travel in opposite directions. one car's average speed is 20 miles per hour (mph). at the end of 4 hours, the two cars are 320 miles apart. find the average speed in mph of the other car. (enter an exact number.)

Answers

Let s= the speed of the other car. Think of this as one of the cars standing still and the other moving at the sum of their speeds. 350=(20+s)*4 350=80+4s 4s=350-80 4s=270 s=270/4 s=67.5 The average speed of the other car is 67.5 mi/hr.

Final answer:

The question asks for the average speed of the second car given that two cars travel in opposite directions and the total distance between them after 4 hours. By calculating the distance one car traveled at 20 mph after 4 hours, it's possible to determine that the other car must have traveled at an average speed of 60 mph to cover the remaining distance.

Explanation:

The student's question is a problem involving distance, speed, and time, which are fundamental concepts in mathematics. To find the average speed of the other car, we can use the formula distance = speed times time. Since the two cars travel in opposite directions, their distances add up to the total separation distance after a certain time.

In this case, one car travels at 20 mph, so in 4 hours it covers 20 mph times 4 h = 80 miles. The total distance between them after 4 hours is 320 miles. Therefore, the distance covered by the second car is 320 miles - 80 miles = 240 miles. To find the average speed of the second car, we divide the distance it covered by the time it traveled which is 240 miles / 4 h = 60 mph. Hence, the average speed of the other car is 60 mph.

If the measure of Angle AXC=8x-7 and Angle AXB = 3x+10 find the measure of ANGLE AXC

Answers

To find the measure of ANGLE AXC, we assume Angle AXB is supplementary to Angle AXC. Solving the supplementary angle equation with the given expressions, we find x = 16. Substituting x back into the expression for Angle AXC, we determine its measure to be 121 degrees.

The question asks to find the measure of ANGLE AXC given that the measure of Angle AXC is represented by the expression 8x-7 and Angle AXB is represented by the expression 3x+10. Without additional context, it is not clear whether Angle AXB is related to Angle AXC in a way that would allow us to solve for x. However, if we assume Angle AXC and Angle AXB are supplementary angles (which sum to 180 degrees), we could set up the equation 8x - 7 + 3x + 10 = 180. If we solve this equation, we get:

Combine like terms: 8x + 3x - 7 + 10 = 180Simplify: 11x + 3 = 180Subtract 3 from both sides: 11x = 177Divide by 11: x = 16

Once we have found that x = 16, we can substitute it back into the expression for Angle AXC:

AXC = 8x - 7 = 8(16) - 7Calculate the value: AXC = 128 - 7Simplify: AXC = 121 degrees

Therefore, the measure of ANGLE AXC is 121 degrees.

Please explain the answer.

Answers

Since the answer is increasing, we want to essentially draw a straight line and guesstimate where the 7th day is. To do this, we can only use the range out of the options given so that we can find a difference in the numbers, not the average. Finding the average (or anything else other than range) would give us a straight line, not an increasing one.We use the first and last day since they're the lowest and highest numbers respectively, and therefore have 67-43=24 as our range. To make this into a line, we can realize that the slope is (change in y)/(change in x). Since the degrees is the y axis and the day is the x axis, 24/(6-1)=24/5=4.8 is our slope. SInce we have the point (1, 43), we can have the equation y=mx+b=y=4.8x+b and plug in 1 and 43 to get 43=4.8*1+b. Subtracting 4.8 from both sides, we get 43-4.8=38.2=b, making our equation y=4.8x+38.2 (since y and x stay variables). For the 7th day, we would have 7 as our x value, making the temperature equal to 4.8*7+38.2=71.8

What is the reason for each step in the solution of the equation? 2x−1=4(x+1)2x−1=4(x+1)
Drag and drop the reasons into the boxes to correctly complete the table.
2x−1=4(x+1)2x−1=4(x+1)-
2x−1=4x+42x−1=4x+4-
2x=4x+52x=4x+5-
−2x=5−2x=5-
x=−52-

Given
Distributive property
Commutative property
Addition or suptraction property of equality

Answers

The steps in the trying to obtain the value of x in the given item are rewritten below with their corresponding algebraic law or property.

2x - 1 = 4 (x + 1)        ; GIVEN
2x - 1 = 4x + 4            ; Distributive property (as we can see, 4 is multiplied to each of the terms found inside the parentheses)
2x = 4x + 5                 : Addition property of equality (both sides of the equation are added with 1)
-2x = 5                         : Subtraction property of equality (both sides of the equation are subtracted with 4x)
 x = -5/2                        : Division Property of equality (both sides are divided by -2)

A student must have an average​ (the mean) on five tests that is greater than or equal to​ 80% but less than​ 90% to receive a final grade of
b.​ devon's grades on the first four tests were​ 92%, 82%,​ 88%, and​ 92%. what range of grades on the fifth test would give him a b in the​ course?

Answers

The requried, Devon needs to score between 46% and 95% on the fifth test to receive a final grade of a B in the course.

To find the range of grades Devon needs on the fifth test to receive a final grade of a B (between 80% and 90% inclusive), we need to consider the average of all five tests.

Let's denote the grade on the fifth test as "x" (in percentage).

The average of the five tests will be:

Average = (92% + 82% + 88% + 92% + x) / 5

To achieve a final grade of a B, the average must be greater than or equal to 80% but less than 90%:

80% ≤ Average < 90%

Now, substitute the given grades and the variable "x" into the average equation:

(92% + 82% + 88% + 92% + x) / 5 ≥ 80%

(92 + 82 + 88 + 92 + x) / 5 ≥ 80

(354 + x) / 5 ≥ 80

354 + x ≥ 400

x ≥ 400 - 354

x ≥ 46

Now, for the upper limit:

(92 + 82 + 88 + 92 + x) / 5 < 90

(354 + x) / 5 < 90

354 + x < 450

x < 450 - 354

x < 96

So, Devon needs to score between 46% and 95% on the fifth test to receive a final grade of a B in the course.

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Final answer:

Devon must score between 46% and 91% on his fifth test to achieve a B average in the course.

Explanation:

To determine the range of grades on the fifth test that would give Devon a final grade of B, we need to calculate the average of the five test scores. For an average to fall between 80% and 90%, the total sum of the five test grades must be between 400% and 449%, since 5 tests × 80% = 400% and 5 tests × 89% (just below 90%) = 445%. Devon's current grades add up to 92% + 82% + 88% + 92% = 354%. Therefore, to achieve a B, his fifth test score needs to be between 400% - 354% = 46% and 445% - 354% = 91%.

Joe practiced his trumpet 3/4 hour on Monday and 7/12 hour on Tuesday. How long did he practice all together

Answers

3/4 of an hour is 45 minutes and 7/12 of an hour is 35 so 

45+35= 80minues if 60 minutes is an hour then its 1 hour and 20 minutes.

3/4 = 9/12

9/12 + 7/12 = 16/12 = 1 4/12 = 1 1/3 hours


Mindy is 36 years old. Mindy’s age is 3 years older than two times Jake’s age. Let j represent Jake’s age.

Answers

j=30          !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Mindy is 36 years old

(36 - 3)/2 = jakes age

33/2 = jakes age

jakes age = 16 1/2

hope this helps

Suppose M is the midpoint of FG. Use the given info. to find the missing measure or value. FM=3X-4, MG=5X-26, FG=?

Answers

check the picture below.

surely you know how much that is.

Answer:FG=29+29

Step-by-step explanation:

Find the perimeter of △ABC with vertices A(−5, −5), B(3, −5), and C(−5, 1).

Answers

check the picture below.

so notice, the sides AB and AC you can pretty much count them off the grid.

now, to get the CB side.

[tex]\bf \textit{distance between 2 points}\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) C&({{ -5}}\quad ,&{{ 1}})\quad % (c,d) B&({{ 3}}\quad ,&{{ -5}}) \end{array}\qquad % distance value d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2} \\\\\\ CB=\sqrt{[3-(-5)]^2+[-5-1]^2}\implies CB=\sqrt{(3+5)^2+(-5-1)^2} \\\\\\ CB=\sqrt{8^2+(-6)^2}\implies CB=\sqrt{100}\implies CB=10[/tex]

sum all three sides up, and that's the perimeter of the triangle.

Shilo is trying to compute the value of 27 + 55 + 13. She adds 27 + 13 to get 40, and then adds on 55. Which of the following properties is Shilo using? commutative distributive associative identity

Answers

the answer is commutative. hope this helps!

Shilo is using commutative and associative

What is commutative property?

"For any numbers 'a' and 'b', a + b = b + a"

What is distributive property?

"For any real numbers 'a', 'b' and 'c',

a × (b + c) = a × b + a × c"

What is associative property?

For any numbers 'a', 'b' and 'c',

(a + b) + c = a + (b + c)

What is identity?

For any real number a,

the additive identity is a + 0 = 0 + a = a

For given question,

Shilo is trying to compute the value of 27 + 55 + 13.

She adds 27 + 13 to get 40, and then adds on 55.

⇒ 27 + 55 + 13

= 27 + 13 + 55                  ...........(commutative property, 55 + 13 = 13 + 55)

= (27 + 13) + 55                ...........(associative property)

= 40 + 55

= 95

Therefore, Shilo is using commutative and associative property.

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For the above table:
x . 0.5 Y. 3 x.2 ,y 6, x 2, y 9 , x 2.5 y 12 , x 3, y 15
a. State the domain.

b. State the range.

c. Is this relation a function? Why or why not?

(2 points)

Answers

a) domain are the x's

 so 0.5, 2, 2,2.5, 3

b) range is the y's so:

3, 6, 9, 12,15

c) it is not a function, since there are 2 x's that equal 2 but the 2 y's that go with them are different numbers (2,6) & (2,9)


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