Mr Roman drove from his hometown to another city. He used 12 1/4 gallons of gas for 318 1/2 mile trip. On average, how many miles did Mr. Roman travel per gallon of gas

Answer:

[tex]x=\frac{1-\sqrt{-5} }{6}\\x=\frac{1+\sqrt{-5} }{6}[/tex]

There are no real roots.

Step-by-step explanation:

[tex]6x^2-2x+1=0\\x=\frac{2-\sqrt{2^2-4*6} }{2*6} \\x=\frac{2-\sqrt{-20} }{12}\\x=\frac{1-\sqrt{-5} }{6}\\x=\frac{1+\sqrt{-5} }{6}[/tex]

Answer:

The Slope of the hypotenuse of triangle ABC is equal to the slope of the hypotenuse of triangle CDE

Step-by-step explanation:

AE is a continuous line with consistent slope.

AC is a segment of this line and is the hypotenuse of triangle ABC.

CE is also a segment of AE and is the hypotenuse of triangle CDE.

Hope this helps.

Answer:

71829x

Step-by-step explanation:

Answer:

The correct answer is option A

Step-by-step explanation

You got this! keep going! :D

Answer:

the answer is -13/15

Step-by-step explanation:

hope this helps

Answer:

3.) Square Root of 250

Step-by-step explanation:

Answer:

last one on the left an go up and place dot in between 4 and 6

Step-by-step explanation:

Answer:

2 x^2 + 6 x + 12 = 0

Step-by-step explanation:

Expand the following:

2 (x^2 + 3 x) + 12 = 0

2 (x^2 + 3 x) = 2 x^2 + 2 (3 x):

2 x^2 + 2 3 x + 12 = 0

2×3 = 6:

Answer: |

| 2 x^2 + 6 x + 12 = 0

Answer:

112 ounces

Step-by-step explanation:

Malia bought 14 cans of cat food

Each of the can weighs 8 ounces

Therefore the total ounces of cat food bought can be calculated as follows

= 14×8

= 112 ounces

Answer:

1 and 3

Step-by-step explanation:

and the bottom is 4

i think the person below me is correct and the answer is 12

Answer:

M  equals 12

I hope this helps you.

Answer:

A.

Step-by-step explanation:

They are same side interior angles. Angle A measures 55°.

PLEASE MARK IT AS BRAINLIEST

Answer:

They are same side interior angles. Angle A measures 55°.

Step-by-step explanation:

just is

Answer:

D

Step-by-step explanation:

We have the equation:

[tex]x+9=4(x-1)^2[/tex]

To convert this to standard form, we can simply expand.

First, expand the right-hand side:

[tex]x+9=4(x^2-2x+1)[/tex]

Distribute the right:

[tex]x+9=4x^2-8x+4[/tex]

Subtract 9 from both sides:

[tex]x=4x^2-8x-5[/tex]

Finally, subtract an x from both sides:

[tex]0=4x^2-9x-5[/tex]

Flip:

[tex]4x^2-9x-5=0[/tex]

Hence, our answer is D.

Answer:

its b

Step-by-step explanation:

they have the same slope

1)-4/-6=2/3

2)-2/-3=2/3

BUT different y-int

1)-6/-26=1/4

2)-3/-6=1/2

so no solution

Answer:

20%

Step-by-step explanation:

Given parameters:

Marked price  = Rs. 100

Selling price  = Rs. 80

Unknown:

Discount rate  = ?

Solution:

The price on the label of an article is the marked price;

   Discount amount  = Marked price - selling price

                                  = Rs. 100  - Rs. 80

                                  = Rs. 20

Discount rate  = [tex]\frac{Discount }{Marked price } x 100[/tex]  

Discount rate  = [tex]\frac{20}{100}[/tex]  x 100  = 20%

Answer:

C

Step-by-step explanation:

The Pythagorean Theorem says [tex]a^{2} +b^{2} =c^{2}[/tex], with c being the hypothomes, which is not part of the right angle. So, when you square a and b, you get [tex]c^{2}[/tex]. To find the value of c, you find its square root.

Hope I helped!!!

Answer:

4.3 hours

Step-by-step explanation:

Let the number of hours Sally does a job = x

Let the number did hours Joan does a job be equal to y

Sally and Joan were able to dust the house in 3 hours together.

1/x + 1/y = 1/3

It takes Joan 10 hours to finish the same job alone.

Hence,

1/x + 1/10 = 1/3

1/x = 1/3 - 1/10

Least common dey = 30

1/x = 10 - 3/30

1/x = 7/30

Cross Multiply

x × 7 = 30

7x = 30

x = 30/7

x = 4.2857142857 hours

Approximately = 4.3 hours

Without help, it would take Sally 4.3 hours to finish the same job.

Answer:

[tex]\frac{x}{4} + 3 = -7\\\\\frac{x}{4} = -10\\\\x = -40[/tex]

Answer:

$760 earned in intrest

$10260 new account balance

Step-by-step explanation:

First we have to find 4% of 9500

use the formuala

[tex]\frac{4}{100} =\frac{x}{9500}[/tex]

4×9500=38000

38000÷100=380

now 380×2=760

add 760 to 9500 for new account balance

Answer:

infinity

Step-by-step explanation:

they are the same line on a graph so they have infinty solutions

Answer:

m=41/24

Step-by-step explanation:

The slope of the line passing through the points (12, 1), (36, 42) is m=41/24.

To find slope, we need to use the slope formula*.

42 - 1/36 -12 = 41/24

m = 41/24

Answer:

c.

Step-by-step explanation:

:)

Answer:

A

Step-by-step explanation:

i did the quiz and got a 96%

Answer:

yes, correct me if im wrong

Step-by-step explanation:

No it is not a direct variation or A

Answer:

5

Step-by-step explanation:

1 galon =16 tazas

1/4 de galon=4 tazas

1+.25= 1.25 ó 1+1/4=1, 1/4 y eso lo multiplico por 4

1.25 ×4= 5

Answer:

1.51

Step-by-step explanation:

[tex]y[/tex] = Cost in dollars of vegetables

[tex]x[/tex] = Number of pounds of vegetables

[tex]y\propto x[/tex]

[tex]\Rightarrow y=kx[/tex]

where k = Constant of proportionality

[tex]k=\dfrac{y}{x}[/tex]

In one case

[tex]y = 7.55\$[/tex]

and [tex]x = 5\ \text{pounds}[/tex]

[tex]k=\dfrac{7.55}{5}\\\Rightarrow k=1.51[/tex]

The constant of proportionality is 1.51.

Answer:

the second one

-1 -2

3 0

5 1

7 2

Answer:

7 units down

Step-by-step explanation:

x+4

x-3

4-(-3) =7

Answer:

3 times

Step-by-step explanation:

Firstly we calculate the number of minutes between 8 and 11 am

The number of hours is 3 hours

The number of minutes is 180 minutes since 1 hour is 60 minutes

Now out of 180, to know the number of times that they both leave, we need to get the multiples of both between 0 and 180

The multiples are;

60, 120, 180

This means that they leave together 3 times

Answer:

D

Step-by-step explanation:

it is a function because the x-value does not repeat