Will give brainliest to whoever answers both questions!! I need to turn this in soon!

A family is taking a car for a road trip. The distance traveled is represented by y=55x. The distance in miles y and gallons used by the car is x.

Part 1. If the car has gone 385 miles, how much gas was used?

Part 2. The inverse function for this situation is the gallons of gas as a function of distance in miles. Write this equation.

Answers

Answer 1

Answer:

y=55x

given y=385

x=gallons of gas = 385/55 = 7 gallons

inverse function

y=55x

change x to y and y to x

x=55y

y=x/55

inverse function is x/55

Step-by-step explanation:


Related Questions

!PLEASE ANSWER FAST! !30 POINTS!
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In the 1960s, the average price for an ear of corn was 4.17 cents. In the 1980s, the average price went up to 9.83 cents. How much did the average price go up?
4.97 cents
5.66 cents
7 cents
14 cents
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I'm pretty dumb so I don't know the answer to this :b
so please answer this :(

Answers

Answer:

5.66

Step-by-step explanation:

Answer:

im pretty sure you just subtract 4.17 from 9.63 LOL so 5.66 HAHA

Step-by-step explanation:

Imagine someone makes $30,000 a year and receives two paychecks per month. The employer withholds 13.9% of that in federal income tax. What is the amount of each paycheck after federal income tax has been taken out?

Answers

Answer:

Step-by-step explanation:

30,000/12= 2500

2500/2 checks per month= 1250 per check

1250*13.9%=173.75 per check in federal taxes

1250-173.75= $1076.25 per check after federal tax

The amount of each paycheck after federal income tax has been taken out is $1,076.25.

Calculation of the amount:

The per month payment be like

[tex]= 30,000 \div 12[/tex]

= 2,500

Since there are two paycheck for each one it should be

[tex]= 2,500 \div 12[/tex]

= 1,250

Now there is 13.9% of federal income tax

So,

= 13.9% of 1,250

= 173,.75

Now the amount should be

= $1,250 - $173.75

= $1076.25

Hence, The amount of each paycheck after federal income tax has been taken out is $1,076.25.

Learn more about paycheck here: https://brainly.com/question/24597215

if two thirds of a number is 56, what is three-quarters of that number?

Answers

Answer:

84

Step-by-step explanation:

56/2 = 28

28 x 3 = 84

To check work: 84/3 =28


5.
Solve
3/5x + 1/3 <4/5x+-1/3

Answers

Answer:

Inequality form: x>10/3

Interval Notation: (10/3, infinity)

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x > 10/3

Step-by-step explanation:

Need the answer, please help me

Answers

Answer:

3/5×

Step-by-step explanation:

y2-y1/x2-x1

0-(-6)/ 14-4

6/10x 3/5x

The entry price for an adult is $10 and the ratio between the prices for adults and children is 5:4. How much is the cost for a child?
A) $10 B) $4 C) $8

Answers

Answer:

$8

Step-by-step explanation:

[tex]5:4\\10:?\\5*2=10\\4*2=8\\10:8[/tex]

Have an amazing day!! <3

Answer:

C - 8

Step-by-step explanation:

Dave wrote the equation
, and Bonnie graphed the function shown below.

Answers

Answer:

dolor sit amet, coisse. Enim neque volutpat ac tincidunt vitae. Leo a diam sollicitudin tempor id eu nisl nunc. A diam maecenas se ut sem viverra.dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut ln tempor id eu nisl nunc. A diam maecenas sed enim ut sem viverra.dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Habitant morbi tristique senectus et netus et

Step-by-step explanation:

dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Habitant morbi tristique senectus et netus et malesuada fames. Pharetra massa massa ultricies mi. Tortor at risus viv et egestas quis ipsum suspendisse. Enim neque volutpat ac tincidunt vitae. Leo a diam sollicitudin tempor id eu nisl nunc. A diam maecenas sed enim ut sem viverra.dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Habitant morbi tristique senectus et netus et malesuada fames. Pharetra massa massa ultricies mi. Tortor at risus viv et egestas quis ipsum suspendisse. Enim neque volutpat ac tincidunt vitae. Leo a diam sollicitudin tempor id eu nisl nunc. A diam maecenas sed enim ut sem viverra.

f EX = 4z + 1, XF = 2z + 7, and mABC = 44°, find the following measures. GX = mABX = °

Answers

Answer: GX= 13

mABX= 22

Step-by-step explanation:

EDGE

Answer:

GX= 13  

mABX= 22

Step-by-step explanation:

#edge2021

Point P′(–6, –4) is the image of point P(–2, 3) under a translation. What is the image of (5, –1) under the same translation?
A. (9, 6)
B. (–1, –5)
C. (1, –8)
D. (3, 2)

Answers

Answer:c

Step-by-step explanation:

is this a zero? or a negative? or a positive or an undefined?

Answers

do you mean the slope? if so, the slope is undefined. however, the equation for the line would be written as y=3 since all the y values on that line are equal to three. hope this helped!
Undefined I hope this helped

complete the missing value in the solution to the equation.

Answers

Y= 5

5(8) - 2(5)

40 - 10 = 30

3. Let f(x) = 4x + 3 and g(x) = x - 2, find:
a) f(g(5))

Answers

g(5)= (5)-2= 3
substitute 5 into g
f(3)= 4(3)+3=15
substitute the answer you got in g into f
f(g(5))=15

- 3x + 10 < -2 and -17 < - 3x + 10

Answers

Answer:

7 is more than-2

Step-by-step explanation:

this is because when u add -3+10 u will get 7

and 7 is larger than -2

Answer:

x > 4 and x < 9

Step-by-step explanation:

1.) -3x + 10 < -2

-3x < -2-10

-3x < -12

x > 4

2.) -17 < -3x + 10

-17 - 10 < -3x

-27 < -3x

x < 9

Simplify 7 +(-3). (1 point)

Answers

Answer:

4

Step-by-step explanation:

7-3=4

Answer:

7-3=4

Step-by-step explanation:

Im not quite sure if this is what you were asking for but here

What is 6/7 of 2/3?

Answers

6/7 ÷ 2/3 = 1 2/7 please I need some points

Answer:

4/7

Step-by-step explanation:

6 times 2 = 12 and 7 times 3= 21

12/21

put the answer on simpliest  form 4/7

8x + 7(2-3x) = -6(2x + 5)

Answers

Answer:

x = 44

Step-by-step explanation:

8x + 7(2-3x) = -6(2x + 5)

8x + 14 -21x = -12x - 30

-13x + 14 = -12x - 30

-x + 14 = -30

-x = -44

x = 44

Evaluate the following expression:
3.65+(-8.2)=
MUST SHOW WORK!

Answers

Answer:

-4.55

Step-by-step explanation:

  8.20

-  3.65

  4.55

then just add a negative sign to it !

-4.55

hope this helps : )

have a good day

10t-19=7t-14
what does t=​

Answers

10t-19=7t-14
+19. +19
10t=7t+5
-7. -7
3t=5
—.—-
3. 3
t= 1.6, or rounded 2

Answer:

t = [tex]\frac{5}{3}[/tex]

Step-by-step explanation:

10t - 19 = 7t - 14

Subtract 7t from both sides;

3t - 19 = -14

Add 19 to both sides;

3t = 5

Divide both sides by 3;

t = [tex]\frac{5}{3}[/tex]

13) Find the value for x and y.
Someone help me please thanks

Answers

Answer:

x=14 y=37

Step-by-step explanation:

For those who are good with equations....(unlike me when it comes to this)

Answers

Answer:

a = 5

Step-by-step explanation:

When the coefficients of the variables are equal with different constants, then you will get an equation which is never true.

For this particular equation, when a on the right side has a coefficient of 5, you will get the equation: 4(a - 2) + a = 5a - 4.

When you distribute the factors in the parenthesis and add the like terms of a together, 4(a - 2) + a will become 5a - 8. This is because 4(a - 2) + a = 4(a) + 4(-2) + a = 4a - 8 + a = 5a - 8.

Now when you simplify 5a - 8 = 5a - 4 by subtracting 5a from both sides, you will get an equation with unlike constants. For instance 1 = 0.

Now:

5a - 8 = 5a - 4

-5a -5a

-8 = -4

This is never true, so therefore, there is no solution.

Answer:

It is 5

Step-by-step explanation:

Store
Think about a cereal box. What
geometric shape is a cereal box?
What geometric shape is each of
the faces of a cereal box?

Answers

Answer:

what type of cereal

Step-by-step explanation:

Answer:

The geometric shape in a cereal box is a rectangular prism, with rectangles for each side of the cereal box.

Step-by-step explanation:

That's just how cereal boxes are.

from 500 to 645 what is the percent increase

Answers

Answer:

Uhauiaihaihaa

Step-by-step explanation:

-2(m + 2) - 12 = -8 help

Answers

Answer:

m = -4

Step-by-step explanation:

-2m-4-12 = -8

-2m = -8+4+12

-2m = 8

m = -8/2

m = -4

Answer:

m=12

Step-by-step explanation:

Substitute 12 for m.

A circle has a circumference of 452.16 units. what is the radius

Answers

Answer:

Circumference = 2*r*pi

452.16 = 2*r*pi

226.08 = r*pi

226.08 = r*(3.14)

72 = r

The radius is 72

Step-by-step explanation:

The photo shows a portion of an airport. The measure of Z4 is 84°. Find the measure
of Z3.

Help

Answers

Answer: 96°

180-84 = 96

I hope this is good enough:

Find the slope of the line through
3) (-1, 17). (6, 12)

Answers

slope = 0.75 or -5/7

full process to find HCF of x^3 -1 and x^4+ x^2 + 1​

Answers

Answer:

Step-by-step explanation:

Factor of x^3-1= (x-1)(X^2+X+1)

Apply the formula of a^3-b^3=(a-b)(a^2+b^2+1)

X^4+x^2+1=(x^2+X+1)(x^2-x+1)

H.c.f is (x^2+X+1)

What is an equation of the line that passes through the point (-2,-3) and is parallel to the line 5x+2y=14

Answers

Answer: y=-5/2x-8

Step-by-step explanation:

The equation of the line that passes through the point (-2,-3) and is parallel to the line 5x+2y=1 is

y = (-5/2)x - 8

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

We have,

An equation of the line that passes through the point (-2,-3) and is parallel to the line 5x+2y=14.

The equation of a line can be written as:

y = mx + c _____(1)

The line 5x + 2y = 14 can be written in the form y = mx + c.

5x + 2y = 14

2y = -5x + 14

y = -5/2x + 7

m = -5/2 ____(2)

The equation of the line passes through the point (-2, -3) so,

From (1) and (2) we get,

y = mx + c

-3 = -5/2 x -2 + c

-3 = 5 + c

c = -3 - 5

c = -8 ____(3)

Now,

From (1) , (2), and (3) we get,

The equation of the line is

y = (-5/2)x - 8

Thus,

The equation of the line that passes through the point (-2,-3) and is parallel to the line 5x+2y=1 is

y = (-5/2)x - 8

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ5

Plz hurry!!

Click the answer that shows the numbers in order from least to greatest.


A. 1.6, 0.9, 0.2, -0.8, -2.4

B. -0.8, -2.4, 0.2, 0.9, 1.6

C. -2.4, -0.8, 0.2, 0.9, 1.6

D. -0.8, 1.6, 0.9, -2.4, 0.2

Answers

Answer:

C is the correct answer

The rule R x-axis ∘ T⟨–5, 3⟩ is applied to the point (–3, –2). Where is the image in the coordinate system?

Answers

Given:

Rule of transformation is rule R x-axis ∘ T⟨–5, 3⟩.

The point is (-3,-2).

To find:

The image of given point after the transformation.

Solution:

Consider the given point be P(-3,-2).

Rule of transformation is rule R x-axis ∘ T⟨–5, 3⟩. If means first we have apply translation T⟨–5, 3⟩ after that we have to apply reflection R x-axis.

If a figure translated by T⟨–5, 3⟩, then

[tex](x,y)\to (x-5,y+3)[/tex]

[tex]P(-3,-2)\to P'(-3-5,-2+3)[/tex]

[tex]P(-3,-2)\to P'(-8,1)[/tex]

If a figure reflected by R x-axis, then

[tex](x,y)\to (x,-y)[/tex]

[tex]P'(-8,1)\to P''(-8,-1)[/tex]

Therefore, the image of given point after transformation is (-8,-1).

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