Brian will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $44 and costs an additional $0.10 per mile driven. The second plan has an initial fee of $49 and costs an additional $0.08 per mile driven.
For what amount of driving do the two plans cost the same? _ miles
What is the cost when two plans cost the same? $_

Answers

Answer 1

Answer:

250 miles

69 dollars

Step-by-step explanation:

Plan 1

44+.10m

Plan 2

49 +.08m

Set the two plans equal

44+.10m = 49 +.08m

Subtract .08m from each side

44+.10m - .08m = 49 +.08m-.08m

44+.02m = 49

Subtract 44 from each side

44 +.02m-44 = 49-44

.02m = 5

Divide each side by .02

.02m/.02 = 5/.02

m = 250

The cost is 44 +.10(250)

                  44 +25

                    69


Related Questions

At a cost of $8 per pound, how many ounces of rolled oats can be bought for $4.70?

Answers

Answer: 9.4 ounces.

Step-by-step explanation:

There are 16 ounces in a pound. We are given the going rate of $8/pound which we can convert into $8/16 ounces. This can be simplified by dividing both sides by 8, which gives us the rate of $1/2 ounces. We now apply this ratio to the amount of money we have, 4 dollars and 70 cents. The 4 dollars translates into 8 ounces via the ratio. For the 70 cents, we can again change the ratio to 10 cents / 0.2 ounces (divide both sides by 10 - $1 is equal to 100 cents). This would mean that we could buy 0.2*7 ounces with the 70 cents, which equals 1.4 ounces. We add the 8 ounces from the 4 dollars and the 1.4 from the 70 cents to get 9.4 ounces.

#7: Convert the equation to slope-intercept form. (Type your
answer with no spaces. Example: y=2/5x-4*

3x – 4y = 8

Answers

Step-by-step explanation:

First, let y coeffecinet be 1, since y coefficient is -4 we divide both sides by -4

[tex] - \frac{3}{4} x + y = - 2[/tex]

Add 3/4 to both sides

[tex]y = \frac{3}{4} x - 2[/tex]

Which of the following is true, according to the graph?

There is a much larger preference for science among those who prefer R&B.
There is a much larger preference for English among those who prefer rock.
There is a much smaller preference for math among those who prefer country.
The percentages for class preference are relatively the same among the different music groups.

Answers

Answer:

a one is right answer

Step-by-step explanation:

h.j.j.k kaoa0

A tower is 320 feet tall. A model is being built for an architecture project and the model is 8 inches tall. Write the
information that completes the scale for the model. Complete them so the 320 foot height of the tower and the 8 inch height
of the model are still valid for every case.
16 inches : ______ feet

Answers

Answer:

640 feet

Step-by-step explanation:

8 = 320

16 = 640

Answer:

640

Step-by-step explanation:

8-->16

320-->640

If other factors are held constant, how does sample size influence the likelihood of rejecting the null hypothesis and measures of effect size such as r^2 and Cohen's d?A) A larger sample increases both the likelihood and measures of effect size.B) A larger sample increases the likelihood but has little influence on measures of effect size.C) A larger sample decreases the likelihood but has little influence on measures of effect size.D) A larger sample decreases both the likelihood and measures of effect size.

Answers

Answer:

2000

Step-by-step explanation:

simplify
-12 divided by 3 x (-8 + (-4) ^2 - 6) + 2

Answers

[tex] \large \mathfrak{Solution : }[/tex]

-12 ÷ 3 × (-8 + (-4)² - 6) + 2

-12 ÷ 3 × (-8 + 16 - 6) + 2

-12 ÷ 3 × 2 + 2

-4 × 2 + 2

-8 + 2

-6

I know the answer don’t know how though

Answers

Answer:

16384

Step-by-step explanation:

As,

[tex] {2}^{15} [/tex]

Meaning that 2 multiplied 15 times here,

Equals 32 768

Now,

[tex] {2}^{14} [/tex]

Meaning that 2 multiplied 15 times then divided by one time 2,

Equals 32 768 ÷ 2 = 16384 (Ans)

pls help im a little bit sтuрid

Answers

Step-by-step explanation:

a⁴+16a²b-2ab-a²+64b²-b²

we can also write them as,

a⁴+16a²b+64b²-a²-2ab-b²

Now, from -a²-2ab-b² if we take - as common term then we get,

a⁴+16a²b+64b²-(+2ab+)

Now, by using the concept of +2ab+=(a+b)²

()²+2×a²×8b+(8b)²-{(a)²+2×a×b+(b)²}(+8b)²-(a+b)²

I hope it helped U

stay safe stay happy

Pls I am really struggling here
How do you know the end behavior of a polynomial function if the first number is a variable? Do you just move on to the next term that is a number

Answers

Answer:

You need to bring the function to the standard form.

The term with highest degree exponent is the leading term and its coefficient is the leading coefficient.

Let it be axⁿ.

Depending on the n and a, the end behavior of the function will change.

Case 1a > 0, n - is odd

This is an odd function and:

x → -∞ ⇒ f(x) → -∞x → ∞ ⇒ f(x) → ∞Case 2a < 0, n - is odd

This is an odd function and:

x → -∞ ⇒ f(x) → ∞x → ∞ ⇒ f(x) → -∞Case 3a > 0, n - is even

This is an even function and:

x → -∞ ⇒ f(x) ⇒ ∞x → ∞ ⇒ f(x) ⇒ ∞Case 4a < 0, n - is even

This is an even function and:

x → - ∞ ⇒ f(x) ⇒ - ∞x → ∞ ⇒ f(x) ⇒  - ∞

Answer:

Yeah your right

Step-by-step explanation:

The odometer on your car read 53,305 at this time last year. It now reads 79,964. Estimate the number of miles your car has been driven during the past year. (Estimate to the nearest thousand miles.)

Answers

Answer:

26659

Step-by-step explanation:

subtracting the recent meter and the last time meter

(6x-5y+4)dy+(y-2x-1)dx=0​

Answers

(6x - 5y + 4) dy + (y - 2x - 1) dx = 0

(6x - 5y + 4) dy = (2x - y + 1) dx

dy/dx = (2x - y + 1) / (6x - 5y + 4)

Let X = x - a and Y = y - b. We want to find constants a and b such that

dY/dX = (a rational function)

where the numerator and denominator on the right side are free of constant terms. Substituting x and y in the equation, we have

dY/dX = (2 (X + a) - (Y + b) + 1) / (6 (X + a) - 5 (Y + b) + 4)

dY/dX = (2X - Y + 2a - b + 1) / (6X - 5Y + 6a - 5b + 4)

Then we solve for a and b in the system,

2a - b + 1 = 0

6a - 5b + 4 = 0

==>   a = -1/4 and b = 1/2

With these constants, the equation reduces to

dY/dX = (2X - Y) / (6X - 5Y)

Now substitute Y = VX and dY/dX = X dV/dX + V :

X dV/dX + V = (2X - VX) / (6X - 5VX)

The equation becomes separable after some simplification:

X dV/dX + V = (2 - V) / (6 - 5V)

X dV/dX = (2 - V) / (6 - 5V) - V

X dV/dX = (2 - V - (6 - 5V)) / (6 - 5V)

X dV/dX = (4V - 4) / (6 - 5V)

- (5V - 6) / (4V - 4) dV = 1/X dX

Integrate both sides:

-5/4 V + 1/4 ln|4V - 4| = ln|X| + C

Extract a constant from the logarithm on the left:

-5/4 V + 1/4 (ln(4) + ln|V - 1|) = ln|X| + C

-5/4 V + 1/4 ln|V - 1| = ln|X| + C

-5V + ln|V - 1| = 4 ln|X| + C

Get this back in terms of Y :

-5Y/X + ln|Y/X - 1| = 4 ln|X| + C

Now get the solution in terms of y and x :

-5 (y - 1/2)/(x + 1/4) + ln|(y - 1/2)/(x + 1/4) - 1| = 4 ln|x + 1/4| + C

With some manipulation of constants and logarithms, and a bit of algebra, we can rewrite this solution as

-5 (4y - 2)/(4x + 1) + ln|(4y - 4x - 3)/(4x + 1)| = 4 ln|x + 1/4| + 4 ln(4) + C

-5 (4y - 2)/(4x + 1) + ln|(4y - 4x - 3)/(4x + 1)| = 4 ln|4x + 1| + C

-5 (4y - 2)/(4x + 1) + ln|4y - 4x - 3| - ln|4x + 1| = 4 ln|4x + 1| + C

-5 (4y - 2)/(4x + 1) + ln|4y - 4x - 3| = 5 ln|4x + 1| + C

Find the midpoint of the line segment with end coordinates of: ( 2 , 0 ) and ( 8 , 8 )

Answers

Answer:

mid point is (1, 8)

Step-by-step explanation:

[tex]{ \bf{midpoint = ( \frac{x_{1} + x _{2} }{2} , \: \frac{y _{1} + y _{2} }{2} ) }}[/tex]

x1 is 2

x2 is 0

y1 is 8

y2 is 8

[tex] = ( \frac{2 + 0}{2} , \: \frac{8 + 8}{2} ) \\ \\ = ( \frac{2}{2} , \: \frac{16}{2} ) \\ \\ = (1, \: 8)[/tex]

A farmer performs a cross between two species of flowers and expects a distribution of 25% red, 50% pink, and 25% white flowers. Out of 224 flowers, the following numbers of red, pink, and white flowers were observed. Calculate the expected number of each type of flower.

Answers

Answer:

the number of pink would be 112 because 224 divided by 2 is 112 then the red and white are 56 cuz 112 divided by 2 is 56

Step-by-step explanation:

2. Consider the division operations below and choose whether the result can be rational,
irrational, or both.
Expressions
Rational
Irrational
O
O
Flá na por laskas
5
16
o
o

Answers

Answer:

All are rational.

Step-by-step explanation:

1)

=1/3/3/5

=1/3×5/3

=5/9

5/9 is non-terminating and recurring number so it is rational.

2)

4/3√9/5

=4/3*3/5

=4/5

4/5 is a terminating number it is rational.

3)

2*√16/√4

=2*4/2

=4

4 is a natural/whole number it is also rational.

Note:if you need to ask any questions please let me know.

a cake is sliced into 12 equal pieces 1/2 of the cake is: slices​

Answers

Answer:

6

Step-by-step explanation:

1/2 of 12

1/2×12

6

i hope this will help

I need some help I’ve been trying to figure this out for a while now and I keep coming up with different answers. Match the pairs of equivalent expressions.

Answers

Answer:

dccxxydffffyyyrtttttttyhg

Jaxson did the following problem incorrectly. Choose the option that correctly identifies what Jaxson did
wrong.
Jaxson's work:
8 3/5 + 7 1/8 = 15 4/13

Answers

Answer:

4/13 very identifies what Jaxson did wrong.

Step-by-step explanation:

The addition of the whole number part of the fraction was well done that is (8+7)

What Jaxson did wrong in his work was the addition of the fractions (⅗+⅛). They have different denominators and thus can't be added straightforwardly. the denominator has to be a common value.

1 tenth + 2 tenths = blank tenths =

Answers

Answer:

3 tenths +4 tenths: 7 tenths

Step-by-step explanation:

2+1 :3

so

3+4:7

PLS HELP!! WILL AMRK BRAINLIEST IF RIGHT

Answers

9514 1404 393

Answer:

  3 feet

Step-by-step explanation:

The equation with all the parameters filled in is ...

  f(t) = -16t² +8t +2

The maximum height occurs at the vertex of the function, which can be written in vertex form as ...

  f(t) = -16(t² -1/2t) +2

  f(t) = -16(t² -1/2t +1/16) +2 +16(1/16)

  f(t) = -16(x -1/4)² +3

The vertex of the graph is (1/4, 3), so the maximum height is 3 feet.

How many solutions are there to the equation below?
5x + 48 + 7 x = 12(x + 4)
A. 1
B. Infinitely many
C. 0
COM

Answers

Answer:

A. 1

Step-by-step explanation:

5x + 48 + 7x = 12(x + 4)

12x + 48 = 12x + 48

x = 1
It is b. The other answer is wrong. You can test it out by putting in different values for x.

Which expression is equivalent to the given expression? 2x^2-14 +24

Answers

Answer:

Equivalent expression is (x - 4)(x - 3)

Step-by-step explanation:

[tex] {2x}^{2} - 14x + 24[/tex]

find the factors:

[tex] = (x - 4)(x - 3)[/tex]

(2x-12)(x-2)

after multiplying you'll get the same


Peter mixes 4 1/2 cups of orange juice, 1 1/3 cups of ginger ale, 6 1/3 and oſ cups of strawberry lemonade to make some punch. What is the
total number of cups of punch that Peter makes?

Answers

convert them all into improper fractions first -
4 1/2 = 9/2 6 1/3 = 19/3. 1 1/3 = 4/3

then find the lowest common multiple of 2 and 3 = 6

9/2 = 27/6. 19/3 = 38/6. 4/3 = 8/6

now add them all together

27/6 + 38/6 + 8/6 = 73/6

then change it back to a mixed fraction

73 divided by 6 = 12 r 1

73/6 = 12 1/6
so Peter can make 12 full cups or 12 and 1/6 cups

Class 8 squares and square roots without adding find the sum of a) 1+3+5+7+9+11+13+15+17.

Answers

Answer:

given

n=9

a=1

d=3-1=2

Step-by-step explanation:

now , by formula,

sn = n/2(2a+(n-1)d)

= 9/2(2×1+(9-1)×2)

=9/2×18

=81

What are the solutions of the equation? X^2-16/25=0
x= 4/25 and x =-4/25
x = 8/25and x =-8/25
x = 16/25and x = -16/25
X =4/5 and x=-4/5

Answers

Answer:

x=4/5 ,x=-4/5

Step-by-step explanation:

Equation:

x²-16/25=0

x²=16/25

x=+-√16/25

x=+-4/5

Note:if you need to ask any question please let me know.

What’s equivalent to this

Answers

Answer:

a^(m-n)

Step-by-step explanation:

We have

a^m / a^n

Exponent rules state that

a^m / a^n = a^(m-n)

The mean number of guests on 5 nights is 90. When an extra night of guests is added the mean is 91 . What was the number of guests on the extra night ?

Answers

Answer:

96

Step-by-step explanation:

The mean number of 5 nights is 90. It means that the quantity of guests who came these nights is 90*5=450

The mean number of the six nights is 91. So the quantity of guests is 6*91=546

546-450= 96- the quantity of guests that came on the extra night

Write the equation of the line parallel to y = 1/3x- 6 that passes through the point (-12,3) in slope-intercept form

Answers

Answer:

[tex]y=\frac{1}{3} x+7.[/tex]

Step-by-step explanation:

all the detail are in the attached picture, here is the short explanation step-by-step:

1) to select the values of slope and interception from the given equation;

2) using the rule of parallel lines to find the slope of the required line;

3) to write the required equation (the value of slope is known, the value of interception is inknown);

4) to calculate the unknown value of interception of the required equation after the substitution the coordinates of the point in the condition;

5) to make up the required equation using calculated slope and interception.

2 A car transporter can carry 13 cars. How many transporters are needed for 340 cars? ​

Answers

27 transporters

340
––– = 26.1538
13

But u can’t have a 1538th if a car is u round up to 27

Pls give me a brainliest if this helped thx

Answer:

27 car transporter

Step-by-step explanation:

Number of cars a car transporter can carry= 13

Number of cars there=340

number of transporters needed= 340÷13

= 27

can anyone plz with steps (not for useless man )

Answers

[tex]\boxed{\sf \displaystyle{\lim_{x\to a}}(x^n)=a^n}[/tex]

[tex]\\ \sf\longmapsto \displaystyle{\lim_{x\to \infty}}(\sqrt{3x}-\sqrt{x-5})[/tex]

[tex]\\ \sf\longmapsto \displaystyle{\lim_{x\to \infty}}\sqrt{3x}-\displaystyle{\lim_{x\to \infty}}\sqrt{x-5}[/tex]

[tex]\\ \sf\longmapsto \infty^{\dfrac{1}{2}}-\sqrt{\infty-5}[/tex]

[tex]\\ \sf\longmapsto \infty-\sqrt{\infty}[/tex]

[tex]\\ \sf\longmapsto\infty-\infty[/tex]

[tex]\\ \sf\longmapsto\infty[/tex]

How do you determine if the numbers are positive or negative?

Answers

Answer:

Positive integers have values greater than zero.

Negative integers have values less than zero.

Zero is neither positive nor negative.

Step-by-step explanation:

Answer: if they have got - before them or if the say negative

Step-by-step explanation:

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