Susan will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $70 and costs an additional $0.40 per mile driven. The second plan has no initial fee but costs $0.60 per mile driven. How many miles would Susan need to drive for the two plans to cost the same?

Answer:

2 over 6 as a fraction simplifies as 1 over three.

Step-by-step explanation:

If you are writing as a fraction, you put 2 over 6 and simplify. Your answer is 1 over 3

Answer:

2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  

Step-by-step explanation:

its just 2/6

Answer:

x = 8

Step-by-step explanation:

4/x = 5/10

=> 4/x = 1/2

=> 4 x 2 = x

=> 8 = x

=> x = 8

Answer:

x = 6

Step-by-step explanation:

Given AG bisects ∠ RAZ , then

∠ RAG = ∠ ZAG , that is

8x + 5 = 4x + 29 ( subtract 4x from both sides )

4x + 5 = 29 ( subtract 5 from both sides )

4x = 24 ( divide both sides by 4 )

x = 6

Answer:

r= -1.2

Step-by-step explanation:

first use distributive property

- 3(4r - 8) = 36 - 2r

-12r +24 = 36-2r

+2r.           +2r

-10r +24= 36

-24.           -24

-10r = 12

/-10.     /-10

r= -1.2

Answer:

Step-by-step explanation:

Equation: -3(4r - 8) = 36 - 2r

Step 1:

-12r + 24 = 36 - 2r       Multiply (4r - 8) by -3 using the Distributive Property.

Step 2:

-10r + 24 = 36        Add -12r and -2r by 2r.

Step 3:

-10r = 12        Subtract 24 and 36 by 24.

Step 4:

r = -12/10          Divide both sides by -10

Step 5:

r = -6/5           Simplify the fraction.

Step-by-step explanation:

Notice that 15 squared = (3 * 5)^2 = 9 * 25 = 225.

So the area of the cornfield can be 225 square acres.

Answer:

12¢

Step-by-step explanation:

Let the unit price of a pencil be x and the unit price of a pen be y.

2x+3y=78¢

3x+2y=72¢

(2x)+3y=78¢

(3x)+2y=72¢

=2x=78¢-3y

=2x/2=78¢/2+3y/2

=x=36¢-1.5y

You then use the equation 3x+2y=72¢.

3(36¢-1.5y)+2y=72¢

=117¢-4.5y+2y=72¢

=117¢-72¢=4.5y-2y

=45¢=2.5y

=45¢/2.5=y

=18¢=y

So a pen costs 18¢.

You then use x=36¢-1.5y

x=36¢-1.5(18¢)

=x=36¢-27¢

=x=12¢

Therefore, a pencil costs 12¢.

Answer:

The first one, 2.2289<2.297

Step-by-step explanation:

Answer:

The answer is 2.2289<2.297 because if you look in the hundredths place there is a 9 in 2.297 but in 2.2289 there is an 2 and 9>2 so that is your answer.

Answer:

yes because 4 times 9 is equal to 36  and 4 times 5 is equal 20

Step-by-step explanation:

Yes, both the expressions ( 36 + 20 ) and 4 ( 9 + 5 ) are equivalent to each other.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The given expressions are solved as:-

First expression,

36 + 20 = 56

Second expression,

4( 9 + 5 ) = 36 + 20

               = 56

From the above calculations,

( 36 + 20 ) = 4 ( 9 + 5 )

Therefore, both the expressions ( 36 + 20 ) and 4 ( 9 + 5 ) are equivalent to each other.

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Answer:

-2

Step-by-step explanation:

42+35x=3x-22

35x-3x=-22-42

32x=-64

therefore, x= -64/32

and through further simplification you will get

-2

hope this helped you ( ꈍᴗꈍ)

Step-by-step explanation:

1.5y - 9.82 = -9.37 - 10.1y - 14.37

1.5y + 10.1y = 9.82 -9.37 - 14.37

11.6y = −13.92

y = (-13.92)/11.6

y = -1.2

First, divide.

24 / 10 = $2.40 per chicken wing

Second, multiply.

17 * 2.4 = $40.80

Best of Luck!

Answer:

Option c.

Step-by-step explanation:

It is given that the piecewise function represents the Social Security taxes for 2009.

[tex]Tax=\begin{cases}0.062x & \text{ when } 0< x < 106,800 \\ \$6,621.60 & \text{ when } x > 106,800 \end{cases}[/tex]

We need to find Rachel's security tax if she earned $102,000 in 2009.

Since 102,000 lies in [tex]0<x<106,800[/tex], therefore

[tex]Tax=0.062x[/tex]

Put x=102000.

[tex]Tax=0.062(102000)[/tex]

[tex]Tax=6324[/tex]

So, the Social  Security tax is $6324.

Therefore, the correct option is c.

Answer:

Distance  =  5.099

Step-by-step explanation:

Answer:

81 ft

Step-by-step explanation:

1 yard=3ft

27 x 3=81

So the answer is 81 ft

Answer:

32[tex]\sqrt{7}[/tex] - 24[tex]\sqrt{2}[/tex]

Alternative form:

≈50.72292

Step-by-step explanation:

Step one,

Simplify the radical expression:

8(4√7 - √18)  

Still Stuck?  *( √18 Simplified is 3√2)*

Your answer should look like this:  8(4√7 - 3√2)

Step two,

Distribute 8 through the parentheses:

8(4√7 - 3√2)

Still Stuck?   *( Use distribuitave property to distribute 8 to (4) and (-3). You should get (32) and (-24)*

Your answer should look like this: 32√7 - 24√2

Solution,

32[tex]\sqrt{7}[/tex] - 24[tex]\sqrt{2}[/tex]

Alternative form:

≈50.72292

*For alternative form, plug the final answer into your calculator. Round it if necessary*

Answer:

[tex]\frac{m^3}{2} - 4[/tex]

Step-by-step explanation:

Required

Determine an expression for the given statement

The expression can be rewritten as:

one-half    *     the cube of m       subtracted by      4

Convert each statement to mathematical expressions:

One half = [tex]\frac{1}{2}[/tex]

The cube of m = [tex]m^3[/tex]

one-half    *     the cube of m = [tex]\frac{1}{2} * m^3[/tex]

At this stage, we have:

[tex]\frac{1}{2} * m^3[/tex] subtracted by 4

This gives:

[tex]\frac{1}{2} * m^3 - 4[/tex]

[tex]\frac{m^3}{2} - 4[/tex]

Hence, The corresponding expression is [tex]\frac{m^3}{2} - 4[/tex]

One-half the cube of m subtracted by 4 is [tex]0.5\sqrt[3]{m} -4[/tex]

Based on the information given, one-half the cube of m subtracted by 4 is expressed as:

Subtracting 4 from the result will give the final expression as [tex]0.5\sqrt[3]{m} -4[/tex]

Learn more on expressions here: https://brainly.com/question/25968875

Answer:

8x + 60

Step-by-step explanation:

4(x + 5) + 2(x - 10) + 2(x + 30)

= 4x + 20 + 2x - 20 + 2x + 60 (combine like terms)

= 8x + 60

Answer:  -x - 5y + 19 = 0, choice A

All we're doing is adding 19 to both sides to get everything on the same side.

General form is Ax+By+C = 0. Some books use Ax+By = C which is just a variation of the same idea.

Answer:

  180

Step-by-step explanation:

2 1/4 ft = 9/4 ft, so is a length equivalent to 9 cubes.

1 ft = 4/4 ft, so is a length equivalent to 4 cubes.

1 1/4 ft = 5/4 ft, so is a length equivalent to 5 cubes.

Then the volume of the prism is ...

  V = LWH

  V = (9)(4)(5) = 180 . . . cubes

Answer:

It is angle FED which is equal to angle DEF

Answer:

0.003, 5/1000, 9/1000

Step-by-step explanation:

0.003 is thousandths.

5/1000 is thousandths.

9/1000 is thousandths.

I converted them to fractions.

5/1000 is already a fraction

Same for 9/1000

0.003=3/1000

So 3/1000, 5/1000, 9/1000

Answer:72.9

Step-by-step explanation:

Answer:

72.9

Step-by-step explanation:

Fractions method:

[tex]81*\frac{90}{100}[/tex] because 90/100 is the same thing as 90%

That gives us 7290/100, from 81*90/100

Simplify: =729/10 = 72.9

Decimals method:

81*9 = 729, add in decimal and that's 72.9

Cross-multiplication:

90    100

?         81

This is read as 90 to 100, (as a ratio) so how many to 81? To solve, cross-multiply - 81*90=7290, then divide by 100 to get 72.9.

This is my first answer , hope it helped!

Answer:

8

Step-by-step explanation:

3( 2 + 2 ) - 4

3( 4 ) - 4

12-4

8

Answer:

First, distribute the 4.

2x times 4  = 8x

3x times 4 = 12x

then add/ combine like terms.

8x + 12x = 20x

Step-by-step explanation:

Answer:

20x

Step-by-step explanation:

distribute the 4 to the 2x and 3x: 4 * 2x= 8x and 4 * 3x= 12x

then add the x's together: 8x+12x=20x

so the answer is 20x

False because 22 + 32 =54

Answer:

No. 22+32=54

Step-by-step explanation:

Answer:

Square root 8 over three, (square root of 4)/2, and pi/3.

Step-by-step explanation:

First of all, square the radicals to make solving this easier. Squarer root 8 over three will become 8/9, and square root 4 over 2 will now become 4/4, which is 1. Pi/3 is greater than 1, so we can now order this from least to greatest. 8/9 is the least, 1 is the second greatest value, and pi/3 is the greatest value.

Answer: 8squared/3 4squared/2 Pi/3

Step-by-step explanation:

8 squared = 2.8... = 2.8/3 (least)

4 squared = 2 = 2/2 = 1 (second least)

Pi over 3 = 3.14159.../3 = 1 .14159/3 (greatest)

Answer:

EF is 16.  

Step-by-step explanation:

So we know that Point E is somewhere on Line DF. In other words, DE plus EF must equal DF. In an equation, this is:

[tex]DF=DE+EF[/tex]

We are given that DE is 2x, EF is 2x-6, and DF is 3x+5. So, substitute:

[tex](3x+5)=(2x)+(2x-6)[/tex]

Now, solve for x.

On the right, combine like terms:

[tex]3x+5=4x-6[/tex]

Subtract 4x from both sides:

[tex]-x+5=-6[/tex]

Subtract 5 from both sides:

[tex]-x=-11[/tex]

Divide both sides by -1:

[tex]x=11[/tex]

Now that we know x is 11, substitute this back into the equation for EF to find EF.

[tex]EF=2x-6[/tex]

Substitute 11 for x:

[tex]EF=2(11)-6[/tex]

Multiply:

[tex]EF=22-6[/tex]

Subtract:

[tex]EF=16[/tex]

And we're done!

Answer:

4

Step-by-step explanation:

2(3x-2)=20

3x-2=10

3x=12

x=4

Answer:

x=4

Step-by-step explanation: