Jen uses 8.6 gallons of gasoline to drive 164.7 miles. Which is the best estimate for the number of miles per gallon of gasoline her vehicle gets?

A.
10 miles per gallon

B.
16 miles per gallon

C.
20 miles per gallon

D.
30 miles per gallon

Answer:

14

Step-by-step explanation:

Range is, basically, the span of all y-values.

To find range, you take the highest y-value and subtract from it the lowest y-value.

Here the highest "y" is 7 and the lowest is -7, so the range is 14.

Answer:

x=3,y= -4

Step-by-step explanation:

ii) x-2y=11

x=11+2y-----(i)

Now,

i) -7x-2y= -13

or, -7(11+2y)-2y= -13

or, -77-14y-2y = -13

or -14y-2y = -13+77

or -16y = 64

or y =64÷(-16)

:: y = -4

Again,

(ii) x-2y= 11

or x-2(-4)= 11

or x+8 = 11

or x = 11-8

:: x = 3

Answer:

y = 1/2x + 4

Step-by-step explanation:

Answer:

A function f is even if the graph of f is symmetric with respect to the y-axis. Algebraically, f is even if and only if f(-x) = f(x) for all x in the domain of f.

Answer:

z=8

Step-by-step explanation:

Answer:

z = 8

Step-by-step explanation:

Given

- 9z - 7 = - 23 - 7z ( add 9z to both sides )

- 2z - 7 = - 23 ( add 7 to both sides )

- 2z = - 16 ( divide both sides by - 2 )

z = 8

Answer:

theres is not table shown

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Solution in y-intercept form y=mx+b

We can calculate the slope of the line using any 2 of the given points: I pick (0,3) and (3,9) . Recall the formula for finding the slope of the line through 2 points (x1,y1) and (x2,y2) as m=(y2-y1)/(x2-x1)

By plugging in the corresponding values, we get (9-3)/(3-0)=6/3=2

Since we now the value of y when x is zero, i.e. the point (0,3) of the table, then the value of b is 3.

Now, putting everything together, we have y=2x+3

Solution in point-slope form y-y1=m(x-x1)

You can proceed the same way above to find the slope m=2

Now use one of the points in the given table to plug into x1 and y1

Doing the last 2 steps will result in y-23=2(x-10) if you use the point (10,23)

Realize that the point slope form of the equation of a line is not unique since using a different point will result in different values of x1 and y1. So the answer is A

Answer:

Step-by-step explanation:

Answer:

Area of sector AOB:

S =

[tex]\pi \times {9}^{2} \times \frac{60}{360} = 13.5 \times \pi[/tex]

Answer:

Growth rate is -0.25

Growth factor is 0.75

Step-by-step explanation:

The general form of an exponential equation is;

y = a(1 + r)^x

Where a is the initial value

r is the growth rate

For x = 3; we have

168.75 = 400(1 + r)^3 •••• (i)

For x = 2, we have

225 = 400(1 + r)^2 •••••(ii)

Divide i by ii

That will be;

168.75/225 = 1 + r

1 + r = 0.75

r = 0.75-1

r = -0.25

The growth rate is -0.25

The growth factor is 1-0.25 = 0.75

Answer:

Step-by-step explanation:

hope thsi helps

Answer:63

Step-by-step explanation:

Answer:

y= -2/7 +5

Step-by-step explanation:

The equation of the line with a slope of -2/7 and a y-intercept of 5 is y=-2/7 x+5.

Given that, slope (m) =-2/7 and y-intercept (c) =5.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The standard form of the slope intercept form is y=mx+c.

Put m=-2/7 and c=5 in y=mx+c, we get

y=-2/7 x+5

Therefore, the equation of the line with a slope of -2/7 and a y-intercept of 5 is y=-2/7 x+5.

To learn more about the slope of a line visit:

https://brainly.com/question/14511992.

#SPJ2

Answer:

b

Step-by-step explanation:

31x 1 is 850

The value of x=10 and m∠SOP=50° and m∠ROQ=50°  .

When two straight lines intersect each other at a point then vertical angles are formed , there are two pair of vertically opposite angles and also , the vertically opposite angles are equal.

In the given question

m∠SOP = (5x)°      ...(i)

and

m∠ROQ = (4x+10)°    ...(ii)

and Since the angles m∠SOP  and m∠ROQ are vertically opposite , they will be equal .

On equating we get  ,

m∠SOP=m∠ROQ

Substituting the values  from equation (i) and (ii) we get ,

5x=4x+10

5x-4x=10

x=10.

Substituting the value of x in equation (i) we get ,

m∠SOP = (5*10)° = 50°

Substituting the value of x in equation (ii) we get ,

m∠ROQ = (4*10+10)° = (40+10)° = 50°

Therefore , the value of x=10 and m∠SOP=50° and m∠ROQ=50°  .

Learn more about Angles here https://brainly.com/question/24152398

#SPJ1

Answer:

The answer is 0.5 and the Mixed Fraction is 1/2

Step-by-step explanation:

Answer:

3 1/8

Step-by-step explanation:

im only answering this late incase if someone else is looking for the right answer

Answer:

yep

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

2x + 6 is equal

293160-1+1-1+1-1+1= your answer

:D

Answer:

28980

Step-by-step explanation:

nice

Part a: The value of x such that the both lines are parallel to each other is (x = 12).

Part : The value of y such that the both lines are parallel to each other is (y = 108).

In the given figure;

Part a: For making the lines w and t parallel to each other; their corresponding angles must be equal.

Thus,

4x + 60 = 9x

Solving;

9x - 4x = 60

5x = 60

x = 12

Thus, the value of x for which both lines w and t are parallel is 12.

Part b: For making the lines u and v parallel to each other; their corresponding angles must be equal.

Thus, 9x = y

Put x = 12.

y = 9×12

y = 108.

Thus, the value of y for which both lines u and v are parallel is 108.

To know more about the corresponding angles, here

https://brainly.com/question/22190474

#SPJ9

Answer:

A. 2.94$

Step-by-step explanation:

You have to multiply 42 by the percentage converted into a decimal so 7 percent would be .7.

42x.7= 2.94

Answer:1/30

Step-by-step explanation:

green: 3/10

purple don't replace: 1/9

3/10*1/9=1/30

Answer:

Okay, so its kinda funny that you ask this question because its on our performance final that's due tomorrow but use elimination.

Step-by-step explanation:

Answer:

c 7/25

Step-by-step explanation:

edge 2021

Answer:5) x=y=7×6^1/2,6)x=38,y=19×3^1/2

7)m=n=18,8)u= 2×5^1/2,v=3

Step-by-step explanation: use trigonometry laws

Answer:

x = 0.8

Step-by-step explanation:

We are given this equation:
4x+8=7.2+5x

And we want to solve it for x.

To solve equations, we need to isolate the variable (x) on one side, and the numbers on the other side.

First, we can clear the numbers from the right side by subtracting 7.2 from both sides.

4x + 8 = 7.2 + 5x

     -7.2  -7.2

_______________

4x + 0.8 = 5x

Now, we can subtract 4x from both sides.

4x + 0.8 = 5x

-4x             -4x

_______________

0.8 = x

This can be rewritten to be: x = 0.8

The value of x is 0.8

Topic: solving equations

See more: https://brainly.com/question/28635147

Answer:

B.99°

Step-by-step explanation:

105°+ 66°+90°+ angle c=360°

angle c= 360° - 261

=99°

Answer:

x = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

6x + 2 = 2(x + 4) - 2

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 8 does indeed equal 8.

∴ x = 1 is the solution to the equation.