For the holidays, Antonio is driving to visit his grandparents who live 441 miles away. Antonio's car gets 31.5 miles per gallon of gas when he is driving on the highway. In order to budget for his trip, Antonio wants to know how much gas he will need.
Use an equation to find how much gas Antonio needs for the drive.
Antonio needs
gallons of gas.


Answers

Answer 1

Answer:

12

Step-by-step explanation:


Related Questions

Graph ​x≥2​.
If you’re confused about the question pls don’t answer it just ask about it in the comment section

Answers

it should be the 1st picture

Answer:

The first graph is correct.

Step-by-step explanation:

Note that the equation states x ≥ 2.  It includes the "equals" sign, so the graph line should include 2.  This is indicated by the solid line, as opposed to the 4th graph, which shows it as a dashed line.  The dashed line is correct for x>2, but not for x ≥ 2.

I'm having trouble solving this:
Corry collects cube containers. She fills them with water and pours them into a rectangular prism. She was playing with them and discovered something interesting. She had three cube containers. One cube was 1 inch by 1 inch by 1 inch. A second cube was 2 inches by 2 inches by 2 inches and a third cube was 3 inches by 3inches by 3 inches.
She filled all three with water. Then Corry poured all three cubes into a rectangular prism filling it exactly! The rectangular prism has a square base with a side length (1+2+3 = 6) inches and the height is 1 inch.
Corry wonders whether she has found a pattern. Investigate using more cube containers to fill square base prisms with heights of 1 in. Describe any conjectures you discover.

Answers

Corry's conjecture is right, and the volume follows a pattern

The volume of a cube of side length l is:

[tex]V = l^3[/tex]

For the first cube of length 1 in, the volume is:

[tex]V = 1^3[/tex]

[tex]V = 1[/tex]

For the second cube of length 2 in, the volume is:

[tex]V = 2^3[/tex]

[tex]V = 8[/tex]

For the third cube of length 1 in, the volume is:

[tex]V = 3^3[/tex]

[tex]V = 27[/tex]

So, the total volume is:

[tex]Total =1 + 8 + 27[/tex]

[tex]Total =36[/tex]

The volume of a rectangular prism of base lengths 6 in and height 1 in is:

[tex]Volume = 6^2 \times 1[/tex]

[tex]Volume = 36[/tex]

Assume, he adds a cube of side length 4 in, the volume is:

[tex]V = 4^3[/tex]

[tex]V = 64[/tex]

The total volume would be:

[tex]V =36 + 64[/tex]

[tex]V =100[/tex]

The base length of the rectangular prism would be:

[tex]Length =1+2+3+4[/tex]

[tex]Length =10[/tex]

The volume of the rectangular prism would be:

[tex]Volume = 10^2 \times 1[/tex]

[tex]Volume = 100[/tex]

So, the pattern is:

Cubes                Volumes

1, 2, 3                    36

1, 2, 3,4                  100

Corry's conjecture is right, and the volume follows a pattern

Read more about conjectures at:

https://brainly.com/question/4125198

A 12 ounce Starbucks latte costs $3.36. What is the constant of proportionality that relates the cost in dollars, y, to the number of ounces, x, in a Starbucks latte?

Answers

Answer:

Y = X times 0.28

Step-by-step explanation:

1. You set it up as a proportionality

12/1 and 3.36/x

The x stands for how much money it takes to get 1 ounce

2. You do the old man line.

12 times x = 3.36 times 1

12x = 3.36

3. Now you divide 3.36 by 12

3.36 divided by 12

.28

4. You insert 0.28 into the problem

12 times 0.28 = 3.36

X = 0.28

So 1 ounce costs $0.28

So Y = X times 0.28

Answer:

Step-by-step explanation:

High school
math/ geometry

Answers

Answer:

Well a triangle itself is worth 180 degrees (Inteirior angles)

your given “a” “b” and you need to find c.

So you can subtract

A is 50

B is 55

So

<BCA= 180- 55-50

Is the answer (b)

Answer:

B

Step-by-step explanation:

A triangle's angles all add up to 180 degrees. If m∠A is 50 and m∠B is 55 then m∠C is 75.

m∠C = 180 - (m∠A - m∠B); which is 180 - 105

180 - 105 is 75; Therefore, m∠C is 75 degrees

Proof: 50 + 55 + 75 = 180

I need help plz
12
10
8
12.5

Answers

Answer:

8

Step-by-step explanation:

what's the answer? and how did you get it??​

Answers

Answer:

97

Step-by-step explanation:

A straight horizonal line is 180 degrees, so you subtract 83 from 180 to get 97, which is the measure of angle JKL

HELP ASAP!! FULL RATING IF AWNSER!
ANSWER ALL PLEASE!!
IM STUCK!

Answers

Answer:

1: 3)

2: 2)

4: 3)

5: 4)

6: 4)

NEED HELP ASAP 40 POINTS GEOMETRY QUESTION PLEASE GIVE FULL ANSWER!!!Which of the lines listed below is perpendicular to the line with the equation ​

Answers

Answer:

Step-by-step explanation

PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

S (2, - 15 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Using (x₁, y₁ ) = T (0, 3 ) and (x₂, y₂ ) = S (x, y )

Calculate the midpoint using above and equate to coordinates of (1, - 6 )

[tex]\frac{x+0}{2}[/tex] = 1 ( multiply both sides by 2 )

x = 2

[tex]\frac{y+3}{2}[/tex] = - 6 ( multiply both sides by 2 )

y + 3 = - 12 ( subtract 3 from both sides )

y = - 15

S has coordinates (x, y ) = (2, - 15 )

Answer:

Point S is at the ordered pair (2,-15)

Step-by-step explanation:

midpoint formula : midpoint ordered pair (x,y) = ( [tex]\frac{x1+x2}{2}[/tex],[tex]\frac{y1+y2}{2}[/tex])

midpoint x = [tex]\frac{x1+x2}{2}[/tex] ; midpoint y = [tex]\frac{y1+y2}{2}[/tex]

midpoint x = 1 x1 = 0 midpoint y = -6 y1=3

Solve each equation for x2 and y2 to get the points for S.

x = [tex]\frac{x1+x2}{2}[/tex]

1 = (0) +x2 / 2

2 = x2

y = [tex]\frac{y1+y2}{2}[/tex]

-6 = 3 + y2 / 2

-12 = 3 + y2

-15 = y2

(2,-15) are the coordinates to point S.

Given the Data Points : (9, 72) (4, 32) (7, 56) What is the constant of variation?

Answers

The constant of variation of the data point is 8.

An equation is an expression that shows the relationship between two or more variables and numbers.

If two variables are proportional, they can be represented by:

y ∝ x

y = kx

k  is the constant of variation.

For the point (9, 72):

72 = 9k

k = 8

For the point (4, 32):

32 = 4k

k = 8

For the point (7, 56):

56 = 7k

k = 8

The constant of variation of the data point is 8.

Find out more about constant of variation at: https://brainly.com/question/25215474

y=−2x+7
y=5x−7

x=
y=

Answers

Answer:

x = 2

y = 3

Explanation:

A bacterial population has an exponential growth rate of 11.2% per hour. If there were 480 bacteria initially, what would the bacterial population be after 5 hours

Answers

The number of bacterial population after 5 hours is; 816

The formula for the exponential growth of the population is;

N(t) = N_o(1 + r)^(t)

Where;

N(t) is number of bacteria after t hours

N_o is number of bacteria initially

r is growth rate

t is time

We are given;

N_o = 480

r = 11.2% = 0.112

t = 5

Thus;

N(5) = 480(1 + 0.112)^(5)

N(5) = 816.14

Approximating to a whole number gives; N(5) = 816 bacteria

Read more about exponential growth at; https://brainly.com/question/15316908

Can someone help me with 45 ?

Answers

Answer:

h⁰ = 84⁰

f⁰ = 132⁰

g⁰ = 28⁰

Step-by-step explanation:

As we know that sum of all the angles in a triangle is 180⁰, so,

h⁰ + 48⁰ + 48⁰ = 180⁰

h⁰ = 84⁰

Now, we can find f⁰ by Linear Pair theorem, which states that the angles sum will equal to 180⁰.

48⁰ + f⁰ = 180⁰

f⁰ = 132⁰

Again, g⁰ can be founded the same way as h⁰.

20⁰ + 132⁰ + g⁰ = 180⁰

g⁰ = 28⁰

HOPE IT HELPS :)

Pam works a 52 hours in a week. Considering that a normal work week is 40 hours and paid at $1470 per hour and overtime is paid at time and a quarter

What is her basic wage ?


How much is she paid in overtime wages? (SHOW WORK) *


What is her gross wage ?

Answers

Step-by-step explanation:

they way it is written, she has one of the best paying jobs in the world : $1470 per hour ...

but I guess it is really $14.70 per hour, right ?

that is then her basic wage : $14.70 per hour for 40 hours = 14.7 × 40 = $588.

her overtime rate is then 14.7×1.25 (one time and a quarter) = 18.375 ≈ $18.38

and she gets that rate for all hours beyond the basic 40 hours, so, 52-40 = 12 hours.

12×18.38 = $220.56

or if you need it totally precise

12×18.375 = $220.50

in total, her gross wage for that week is then

588 + 220.56 = $808.56

or totally precise with unrounded hourly rates

588 + 220.5 = $808.50

which would create a mean hourly rate

808.56/52 = $15.54923077... per hour ≈ $15.55 per hour

or

808.5/52 = $15.54807692... per hour ≈ $15.55 per hour

many payroll systems do the rounding of the hourly rates and then calculate the total amount (as the first option here). some others keep the full decimal positions in the calculation and then only round the total (as the second option here).

so, it is the question what your teacher expects here. I cannot tell from the description.

Can someone help me with this x / 12 = -8

Answers

X/12 = -8

Solve for x by multiplying both sides by 12

X = -96

Answer:

X=12*-8-----> X= -96. multiply 12 by -8

Which of these inequalities is graphed below? NA w 1519 he darrer 14 li AN W UM AN ww 12+ 9 6 3 wao WA ME BAL - 15 - 12-9-6-3 - WASSA 6 3 RES WORK 11122 wen M 1215 KA பா VA . BEL MON w AKS SHOP ܝܛܝܝ 1 L- ON IN 2002 151 A. y< 2x - 6 B. y s 2x – 6 C. y> 2x - 6 D. yz 2x – 6
I know the answer I want you to explain it​

Answers

Answer:(-4,3)

Step-by-step explanation:

Here, Every equation has same slope (-4) and same y-intercept (3), so we don't need to calculate those.

Now, as coordinates are in left-portion, and also touches the line, it would be: y ≥ -4x + 3

how much is 75 decreased by 8% ???

Answers

Answer:

69

Step-by-step explanation:

The number 75 decreased by 8% means that you are looking for 92% of 75. To find a percent of the number you can multiply a number by the percent in decimal form. So, to find 92% of 75, multiply 75*0.92. This gives you 69. Doing this is the same as finding 8% of 75 and then subtracting.

Select the correct answer.
Write an expression to represent the product of 6 and the square of a number plus 15.
In your expression, what is the value of the coefficient?
A.1
В.15
c. 6
D. 2

Answers

Answer:

15 in the correct answer

5x+7x=180 a.___
12=80 b.__
x=15 C.___

Answers

Answer:

5x + 7x = 180

x = 15

Step-by-step explanation:

5x + 7x = 12x

180/12 = 15

Evaluate the expression for the given value of x.
0.6x + 6.2 for x = -1
The solution is

Answers

Answer:

5.6

Step-by-step explanation:

if x is -1. multiply -0.6 * -1. Which is -0.6.

Then add -0.6 and 6.2 and the answer you would get is 5.6.

What is the equation of the line that passes through the point (-4,-3)(−4,−3) and has a slope of \frac{3}{4}

Answers

Answer:

y = 3/4x

Step-by-step explanation:

Given:

x1 = -4

y1 = -3

slope (m) = 3/4

Solution:

y - y1 = m ( x - x1 )

y - (-3) = 3/4 ( x - (-4) )

y + 3 = 3/4 ( x + 4 )

y + 3 = 3/4x + 3

y = 3/4x + 3 - 3

y = 3/4x

A triangle has interior measures of 45° and 50°. What is the measure of the third angle?
950
850
90°
50

Answers

Answer:

85 degrees

Step-by-step explanation:

the inside of a triangle is always 180 degrees.

180-45-59=85

75+45+x/69=180
solve for x please :)

Answers

Answer: just add 75 and 45 + x and do division for 69 ok  but times the 45 with 69 ok good luck

Step-by-step explanation:

5.37 + x =12.89 explanation please it’s two step equation

Answers

Answer:

7.52

Step-by-step explanation:

5.37 + x = 12.89

In order to solve this equation, we must isolate the variable, x.

1.) To do this, subtract 5.37 on both sides of the equation.

5.37 + x = 12.89

-5.37         -5.37

x = 7.52

Therefore, x = 7.52

Answer:

Answers of given questions are written below :

1) x = 7.522) x = 113) x = 2.5

Step-by-step explanation:

[tex]\large{\tt{\underline{\underline{\purple{SOLUTION : - }}}}}[/tex]

5.37 + x = 12.89

[tex] \implies{\tt{5.37 + x = 12.89}}[/tex]

[tex] \implies{\tt{ x = 12.89 - 5.37}}[/tex]

[tex] \implies{\tt{ x = 7.52}}[/tex]

[tex]\star{\underline{\boxed{\sf{\red{ x = 7.52}}}}}[/tex]

Hence, the value of x is 7.52

[tex]\begin{gathered}\end{gathered}[/tex]

42 = 6x - 24

[tex] \longmapsto{\sf{42 = 6x - 24}}[/tex]

[tex] \longmapsto{\sf{ 6x = 42 + 24}}[/tex]

[tex] \longmapsto{\sf{ 6x = 66}}[/tex]

[tex] \longmapsto{\sf{x = \dfrac{66}{3}}}[/tex]

[tex] \longmapsto{\sf{x = 11}}[/tex]

[tex]\star{\underline{\boxed{\sf{\red{ x = 11}}}}}[/tex]

Hence, the value of x is 11.

[tex]\begin{gathered}\end{gathered}[/tex]

10x + 25 = 50

[tex]{\longrightarrow{\rm{10x + 25 = 50}}}[/tex]

[tex]{\longrightarrow{\rm{10x= 50 - 25}}}[/tex]

[tex]{\longrightarrow{\rm{10x= 25}}}[/tex]

[tex]{\longrightarrow{\rm{x= \dfrac{25}{10}}}}[/tex]

[tex]{\longrightarrow{\rm{x=2.5}}}[/tex]

Hence, the value of x is 2.5.

[tex]\rule{300}{2.5}[/tex]

The 2 pentagons above are similar. What is the area of the smaller pentagon?

Answers

Answer:

16^2

Step-by-step explanation:

All you have to do is do 64 *.25 and you get 16

The area of the smaller pentagon is 4 in². thus option B is correct.

How to determine the area of the smaller pentagon?

The ratio of the side lengths are given:

Small : Large = 3.5 : 14

The area of the larger pentagon is given;

Area = 64 in²

By Using the given parameters, the area of the small pentagon:

Area = (Small/Large)² * Area of Large

Area = (3.5/14)² * 64

Area = 4

Hence, the area of the smaller pentagon is 4 in². thus option B is correct.

Read more about areas:

brainly.com/question/24487155

#SPJ2

In a set of bivariate data, an additional point is added near the regression line but far away from the rest of the data. this
will the slope of the regression line and the correlation coefficient.
A slightly change, strengthen
B greatly change, weaken
C slightly change, weaken
D greatly change, strengthen
E not change, not change

Answers

Answer:

C. is the answer

Step-by-step explanation:

CARRY ON LEARNING

AND REMEMBER DO ALWAYS READ AND WRITE

Can someone help me plsssssssssssss

Answers

Answer:

The lines will cross at (-5,1)

Step-by-step explanation:

I graphed it

why you copy my profile picture hello.....

Felicia jumped 14 times every 28 minutes. At that rate, how many would she jump in 8 minutes?

Answers

She can jump 4 times in 8 minutes

Need help!!!!!!!!!!!!!!!!!!!!!!!!

Answers

[tex]\mathfrak{( \frac { 6 x } { y } ) ( \frac { y } { 3 x - 3 } ) } [/tex]

[tex]\mathfrak{ \frac{6xy}{y\left(3x-3\right)} } [/tex]

[tex]\mathfrak{ \frac{6x}{3x-3} } [/tex][tex]\mathfrak{ \frac{6x}{3\left(x-1\right)} } [/tex]

[tex]=\boxed{\mathfrak{\frac{2x}{x-1} } }[/tex]

☆ Option 3 is correct.

[tex]\mathbb{MIREU} [/tex]

i will report if you give any links or delete the answer. I need this answer desperately.

Answers

Answer:

If x = -3,

then y might equal -6

If y = -20,

then x might equal -13

Step-by-step explanation:

I have used a graph to estimate these answers. See image. If you are learning how to find the line of best fit for a data set, you might be expected to do those calculations, depending on the level of your math class. Many upper level math classes would use technology to find a line of best fit.

See image to see the data set given on an xy-axis in red. The circled areas are where the estimated numbers would lie, where

x = -3 (in blue) and where

y = -20 (in green)

The directions say estimate, so a graph is a good justification for several answers in the general area.

Other Questions
( i will give branly to the best and the fastest so please help :D extra points as wellWhy did the British ban the colonies from using Boston Harbor in 1774? To develop economy within the colony To keep out diseases from Europe To limit immigration from France To make colonists pay for destroying shipments of tea Solve 5-2x True or False. The 'C' programming language guarantees that R0 will always contain a zero value on the ATmega328P Find the zeros of g(x) = x3 + x2 9x 9.A) x = 3, 1, 3B) x = 1, 3C) x = 3, 3D) x = 3, 1, 3 What does this picture represente? In Chapter 16 of Hatchet, a tornado directly hits Brian's shelter and Brian is left with nothing but the hatchet. How does Brian respond to this setback?1. Brian has a sense of humor about the tornado, and he feels motivated to rebuild his shelter.2. Brian remembers the decisions he made earlier and uses them to guide how he rebuilds his shelter.3. Brian's anger causes him to shut down at first, but he quickly realized the importance of recreating his shelter.4. Brian experiences despair because he is hurt and has nothing left without his shelter. One of the first tasks to do when creating a game is to describe the elements of the game to yourself. True False buenos dias! Como ______ the atomic number of four elements p,q,r,s are 6,8,10 and 12 respectively. the two elements which can bond ionically are: -X + 2y= -3 and -8x 3y= -5 1. Evaluate the composition of the Board of Directors in Bell Pottinger, based on best practices in corporate governance. Write 15.5 as a fraction in the simplest form and as a decimal You have a meal at a restaurant. The sales tax is 8%. You leave a tip for the waitress that is 20% of the pretax price. You spend a total of $23.04. What is the pretax price of the meal?The pretax price of the meal is $_______ What is are some differences between a teacher and a student? Most newly arriving immigrants werewhich of the following?A. Unskilled workersB. Skilled workersC. Union workersD. White-collar workers Can contact with mucous membranes blood borne pathogen be transmitted Over spring break your mom ask you to help her put fertilizer on your lawn scale drawing of your yard has launched on the corner that says 2 inches of length corresponding to an actual length of 8 feet nolan is planning a trip aboard for a week do some research into safe travels aboard make a list of things nolan should do to make sure he is safe during his trip The population of a pigeons in a city is 100 and is growing exponentially at 20% per year. Write a function to represent the population of pigeons after tt years, where the monthly rate of change can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage rate of change per month, to the nearest hundredth of a percent what male reproductive organs are responsible for sperm production?