Kayla drives her new car to work every day. It uses 1 3/5 gallons of gas for each round trip. How many round trips to work can Kayla drive on a 16-gallon full tank of gas?

Answers

Answer 1

Answer:

16 road trips

Step-by-step explanation:


Related Questions

The ratio of your monthly allowance compared to your friends monthly allowance is five to three and totally you and your friend make $40 how much money do you make

Answers

15$ is the answer to this question.

Which expressions have a value that is greater than 1?

Answers

Answer:

Im not sure about A but other then that B and D have greater values then one

Step-by-step explanation:

[tex]~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \boxed{A}\qquad \cfrac{3^{-2}}{3^3}\implies \cfrac{~~\frac{1}{3^2} ~~}{3^3}\implies \cfrac{~~\frac{1}{3^2} ~~}{\cfrac{3^3}{1}}\implies \cfrac{1}{3^3\cdot 3^2}\implies \cfrac{1}{3^5}\implies \cfrac{1}{243}\qquad \textit{\large \checkmark}[/tex]

[tex]\boxed{B}\qquad \cfrac{5^3}{5^2}\implies 5^3\cdot 5^{-2}\implies 5^{3-2}\implies 5^1\implies 5\qquad \bigotimes \\\\\\ \boxed{C}\qquad 9^0\implies 1\qquad \bigotimes \\\\\\ \boxed{D}\qquad \cfrac{(2^3)^2}{2^2}\implies \cfrac{2^{3\cdot 2}}{2^2}\implies \cfrac{2^6}{2^2}\implies 2^6\cdot 2^{-2}\implies 2^4\implies 16\qquad \textit{\large \checkmark} \\\\\\ \boxed{E}\qquad \cfrac{2^3}{2^8}\implies 2^3\cdot 2^{-8}\implies 2^{3-8}\implies 2^{-5}\implies \cfrac{1}{2^5}\implies \cfrac{1}{32}\qquad \bigotimes[/tex]

O A woman's store sells the following categories of clothing for the following prices. blouses : Ghc14 each, skirt : Ghc 16 each, dress: Ghc 25 each, pantyhose:2 pairs for Ghc 3, socks: Ghc7. A lady goes to the store in a day when the store has a 20% off sale on all skirts. if ya buys 2 skirks, 1 dress and 4 pairs of pantyhose, how much money does lady have to pay?

Answers

Answer:

$4

Step-by-step explanation:

i know this because i passed collage last year

Given the functions,
f(x) = x^3 - 4x^2 + 5
g(x) = x^2 + 6x - 7
h(x) = x + 6
Find f(g(-3)).

Answers

Answer:

f(g(- 3) ) = - 5115

Step-by-step explanation:

Evaluate g(- 3) then substitute the value obtained into f(x)

g(- 3) = (- 3)² + 6(- 3) - 7 = 9 - 18 - 7 = - 16 , then

f(- 16) = (- 16)³ - 4(- 16)² + 5

        = - 4096 - 4(256) + 5

        = - 4096 - 1024 + 5

        = - 5115

How to solve -2(x+2)^2=5 using the square root method.

Answers

Here it is I had to add a photo because I didn’t know how to rite it out but I hope this helps!

Donnel purchased two pairs of jeans. There was a 20% discount on one pair of jeans with an original price of $45.50. There was a 40% discount on the other pair of jeans with an original price of $32.20. How much did he save altogether?

Answers

Answer:

$21.98

Step-by-step explanation:

45.50 * .20 = 9.1

32.20 * .40 = 12.88

12.88 + 9.1 = 21.98

Convert 32∘C to ∘F. Round to one decimal place.

Answers

Answer:

89.6°F

Step-by-step explanation:

hope this helps

have a good day or night

Answer:

89.6∘F

Step-by-step explanation:

[tex](32 * \frac{9}{5}) + 32\\\rule{150}{0.5}\\ 57 . 6 + 32\\\\\boxed{89.6}[/tex]

32∘C should be 89.6∘F.

Hope this helps.

Operations
Five football players ate
15/17
of a lasagna. The 5 players ate equal
amounts. How much of the lasagna did each player eat?

Answers

Answer:

3

Step-by-step explanation: because 15 divided by 5 equals 3

12 x 12 x 12 = 4 x # x 4 what number must replace the '#' symbol​

Answers

Answer:

I'm pretty sure it's 108.

Step-by-step explanation:

12 x 12 x 12 = 1,728

4 x 4 = 16

1,728 ÷ 16 = 108

A model rocket is launched with an initial upward velocity of 125/fts. The rocket's height h (in feet) after t seconds is given by the following.

h=125t- -16t^2

Answers

Answer:

H = V0 t + 1/2 g t^2   is the equation in question with V0 and g in different directions, they have different signs

Joy needs 8 feet of fabric for a project she is working on, but the store only sells the fabric in meters. One meter of fabric costs $1.15. How much will the fabric cost?

[1 ft = 0.305m]

$9.20
$2.12
$2.81
$30.16

Answers

Answer:

$2.81

Step-by-step explanation:

8 feet = 2.44 meters

2.44 · $1.15 = $2.81

I hope that this helps!!!

Answer:

c. 2.81

Step-by-step explanation:

Help please on part b

Answers

Answer:

-0.045

Step-by-step explanation:

you first take the derivate of A(t)

A'(t)=1.4e^-0.05t X (-0.05)

A'(t)=-0.07e^-0.05t

so when t=0

amount remaining is -0.07e^-0.05(0) ---- e^0 = 1

so its -0.07

when t=9

do the same thing,

-0.07e^-0.05(9) ---use calculator

-0.045

How to divided 4 and 2/4

Answers

Answer:

8

Step-by-step explanation:

turn 2/4 into fraction by dividing 2 by 4  equals to 0.5 then divide 4 by 0.5 equals 8

Which equation has a solution of r = 1/3

Answers

Answer:

                 

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

A.

2 2/3 + r = 3

r = 3 - 2 2/3

r = 1/3

B.

r - 1 = 2/3

r = 1 2/3

C.

3r = 1/3

r = 1/9

D.

4r = 12

r = 3

Answer: A.

100 pointer question here

Answers

Answer:

See attached

Expressions matching the properties

The associative property:

a + b = b + aab = ba

The commutative property:

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

Distributive property:

a(b + c) = ab + ac

Two points are shown on the number line. Which value is best represented by the point F? 

Answers

Answer:

I believe its d

50 point question Solve quick i will give branliest

Answers

Answer:

17

Step-by-step explanation:

x + 100 = 4x + 49

100 - 49 = 3x

3x = 51

x = 17

.79 % of what number of horses is 29 horses

Answers

Answer: 37

Cross multiply 100x29 over 79

The following triangles are similar triangles with some dimensions specified. Find the measures of the other sides.

Answers

Answer:

116°

Step-by-step explanation:

(Angle sum property of a triangle = 180°)

angle A + angle C + angle ABC = 180°

66° + 50° + angle BAC = 180°

116° + angle ABC = 180°

angle ABC = 180° - 116°

angle ABC = 64°

angle ABD + angle ABC = 180°

angle ABD + 64° = 180°

angle ABD = 180° - 64°

angle ABD = 116°

So, the measure of the unknown angle is 116°

rebecca has 12 photos she wants to hang side by side on her wall.

A. if she only wants to display 8 of the photos, in how many ways can she choose 8 photos she wishes to eventually display?


B. in how many ways can she arrange all 12 photos?


C. if rebecca wants to have the 10 out of 12 photos in specific places, how many ways could she order the 12 photos?​

Answers

We want to find different ways of selecting and ordering elements. The answers are:

A) C = 395

B) combinations = 479,001,600

C) combinations = 239,500,800

First, we know that Rebecca has 12 photos.

A) She wants to choose 8 of these 12 photos, we want to see in how many ways she can choose these 8 photos.

Remember that for a set of N elements, the number of different combinations of K elements (such that K is smaller than N) is given by:

[tex]C(N, K) = \frac{N!}{(N - K)!*K!}[/tex]

Here we have N = 12 and K = 8, then:

[tex]C(12, 8) = \frac{12!}{(12 - 8)!*8!} = \frac{12!}{4!*8!} = \frac{12*11*10*9}{4*3*2*1} = 495[/tex]

So there are 495 different ways of choosing 8 photos out of the 12.

B) Now we want to see in how many ways she can arrange all 12 photos.

The first photo can be any one of the 12, so there we have 12 options.The second photo can be any one of the remaining 11 (so we have 11 options).The third photo can be any one of the remaining 10, and so on.

The total number of combinations is just the product between the numbers of options, we got:

[tex]combinations = 12*11*10*9*8*7*6*5*4*3*2*1 = 479,001,600[/tex]

C) Now we must combine the two things we did before, first, we select 10 out of the 12 photos, and then we want to find in how many ways we can arrange these 10 photos.

[tex]C(12, 10) = \frac{12!}{(12 - 10)°*10°} = \frac{12*11}{2} = 66[/tex]

And we multiply this by the total number of arrangements of these 10 photos, that is just given by 10!, so we get:

[tex]c = 66*10! = 66*(10*9*8*7*6*5*4*3*2*1) = 239,500,800[/tex]

If you want to learn more, you can read:

https://brainly.com/question/14305145

A coordinate plane with a straight line with a positive slope passing through the points, (0, negative 3) and (3, 4). Choose the answer to complete each statement. The slope of the line is . The y-intercept is at . The graph represents the function

Answers

[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{4}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{0}}}\implies \cfrac{4+3}{3}\implies \cfrac{7}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{\cfrac{7}{3}}(x-\stackrel{x_1}{0})[/tex]

we can always find the y-intercept by simply setting x = 0, or namely

[tex]y-(-3)=\cfrac{7}{3}(0-0)\implies y+3=\cfrac{7}{3}(0)\implies y+3=0\implies y=-3 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{y-intercept at}}{(0~~,~-3)}~\hfill[/tex]

Answer:

first one is 7/3

second one is -3

third one is g(x) = 7/3x-3

Step-by-step explanation:

I got it right

1. A bag contains red apples and yellow apples. The ratio of red apples to yellow apples in the bag is 9 to 4. How many apples are yellow.

Answers

Answer:

?

Step-by-step explanation:

You can’t know that, because you don’t know how many total apples there are.

how do you simplify 18x⁶/27x⁴ ​

Answers

Answer:

2x^2/3

Step-by-step explanation:

In pic

(Credits: Symbolab)

(Hope this helps can I pls have brainlist (crown)☺️)

Twelve pounds of the element plutonium is released in a nuclear accident. The amount of plutonium P that is present after t months is given by P(t)=12e^-0.1507t. What amount of plutonium remains after 36 months? Round to two decimal places.

Answers

The amount of Plutonium that remains after 36 months is 0.05

The equation for the amount of Plutonium after t months is

[tex]\mathbf{P(t) = 12e^{-0.1507t}}[/tex]

After 36 months; we have: t = 36.

Substitute 36 for t in P(t).

So, we have:

[tex]\mathbf{P(36) = 12e^{-0.1507 \times 36}}[/tex]

Simplify the exponent

[tex]\mathbf{P(36) = 12e^{-5.4252}}[/tex]

Evaluate the exponent

[tex]\mathbf{P(36) = 12 \times 0.004404}[/tex]

Multiply

[tex]\mathbf{P(36) = 0.052848}[/tex]

Approximate to 2 decimal places

[tex]\mathbf{P(36) = 0.05}[/tex]

Hence, the amount that remains is 0.05

Read more about exponential functions at:

https://brainly.com/question/11487261

Point One = (0, -2) = Point Two = (-3, -5)
write in slope intercept form​

Answers

Answer: m=1

Step-by-step explanation:

Use the equation y=y2-y1 over x2-x1

1.  label your points

     0=x1

     -2=y1

      -3=x2

       -5=y2

The first pair is x1 and y1 and the next pair is x2 and y2

plug in the numbers to find your answer

Two cities are 5 3/4 inches apart on a map. The map scale says that 1/2 inch= 10 miles. How many miles
apart are two cities?

Answers

Answer:

900 Miles

Step-by-step explanation:

Since 1 inch = 200 miles, then ....

    4.5 inches * (200 miles / 1 inch) = (4.5 inches * 200 miles) / (1 inch) = 900 miles

OR

    1 / 200 : 4.5 / m     ==>     1 * 4.5 / 200 * 4.5 = 4.5 / 900    ==>    m = 900

Thus, the actual distance between the two cities is 900 miles.

Each square below represents one whole …. What percent is represented by the shaded area?

Answers

Answer:

3/4

Step-by-step explanation:

because there are 4 parts and only three are shaded so 3/4

3/4 or .75 or 75%

what is the value of 2​

Answers

Step-by-step explanation:

???

one more than 1, one less than 3

Answer:

the value of 2 is 1+1=2

Step-by-step explanation:

gamsahamnida have a great day ahead

A car rents for $40 per day plus 21¢ per mile. You are on a daily budget of $82. What mileage will allow you to stay within your budget?

Answers

Answer:

less than or equal to 200 miles

Step-by-step explanation:

let 'm' = mileage

0.21m + 40 ≤ 82

subtract 40 from each side to get:

0.21m ≤ 42

divide each side by 0.21 to get:

m ≤ 200

In this picture B,D, and F are midpoints. AC=50, CE=60, and BD=35
DF=[?]

Answers

Answer:

25

Step-by-step explanation:

AC=50  ∴BC=25

DF is the opposite of BC ( take it as a square BCDF)

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