John used 5/6 of a tank of gas each day while traveling to the Super Bowl. He drove for 9 days in a row . How much gas did he use in all.

Answer:

Area of the rectangle  A   = 32 x - 8

Step-by-step explanation:

Explanation:-

Given that the length of the rectangle(l) = 8x-2

Given that the width of the rectangle (w) = 4

Area of the rectangle = length × width

                         A   = (8x - 2) × 4

                         A   = 32 x - 8

Final answer:-

Area of the rectangle  A   = 32 x - 8

Answer:

1) Slope: 3; y-intercept: -7

2) Slope: 2/3; y-intercept: 1

Step-by-step explanation:

y = mx + b; m is slope and b is y-intercept

1. y = 3x - 7

The equation is already in slope-intercept form, so you can find the slope and intercept.

Slope: 3

y-intercept: -7

2. y - 1 = 2/3x

For this one, you have to convert this into slope-intercept form (solving for y)

y - 1 = 2/3x

Add 1 to both sides

y - 1 + 1 = 2/3x + 1

y = 2/3x + 1

Now that the equation is in slope-intercept form, you can get the slope and y-intercept.

Slope: 2/3

y-intercept: 1

Answer:

Solve for O

by simplifying both sides of the equation, then isolating the variable.

O=y+7x/17

Answer:

[tex]c = 41[/tex]

Step-by-step explanation:

[tex] {c}^{2} = \sqrt{ {a}^{2} + {b}^{2} } [/tex]

[tex]c = \sqrt{ {a}^{2} + {b}^{2} } [/tex]

[tex]c = \sqrt{ {9}^{2} + {40}^{2} } [/tex]

[tex]c = \sqrt{81 + 1600} [/tex]

[tex]c = \sqrt{1681} [/tex]

[tex]c = 41[/tex]

Answer:

probably c=41

Step-by-step explanation:

Answer:

(2x + 1)(3x + 5)

Step-by-step explanation:

Answer:

60=x

Step-by-step explanation:

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.

The equation of the line is y = -0.5x + 5

Option C is the correct option.

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.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of the line y = mx + c.

The line passes through (4, 3) and (6, 2).

This means,

We can find the slope using the coordinates (4, 3) and (6, 2).

Slope = m

m = (2 - 3) / (6 - 4)

m = -1 / 2

Now,

For the y-intercept.

Take any point.

(4, 3) = (x, y)

y = mx + c

3 = (-1/2)4 + c

3 = -2 + c

3 + 2 = c

c = 5

Now,

m = (-1/2) = -0.5

c = 5

The equation of the line is y = -0.5x + 5

Thus,

The equation of the line is y = -0.5x + 5

Option C is the correct option.

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ2

Answer:

63.97 sheets of paper

Step-by-step explanation:

40-18.25 = 21.75

21.75 divided by 0.35 = 63.97

Answer:

she started with 32 apples and ended with 28

there were 8 apples in each bag but after she ate one from each bag, there are only 7 apples in each bag

Step-by-step explanation:

Answer:

[tex]y= 35+15x[/tex]

Step-by-step explanation:

Given data

It costs $35 for a membership

Monthly fee is $15

Let the number of months be x

and the total cost for x months be y

Hence the expression for the cost after x months is given as:

[tex]y= 35+15x[/tex]

Answer:

- 61

Step-by-step explanation:

-3 - 58 = -61

times 1 is

is -61

Answer:

T can be equal to 1 1/10 or 1.1 or 11/10

Step-by-step explanation:

10t=11

So divide by 10 on both sides.

t=11/10 which can be simplified to t=1 1/10 or t=1.1

:)

Answer:

625

Step-by-step explanation: 5^6/5^2

multiply 5^6 and than devide your answer with 5^2

Answer:

625

Step-by-step explanation:

5^6=15625

5^2=25

15625/25=625

Answer:

The value of x is 72 degrees

Step-by-step explanation:

Answer:

4x-y=19, y=4x-19

Step-by-step explanation:

I learned a really quick way to do these in geometry.

Let's use standard form or ax+by=c.

Slope of 4:  4x - y = c.

Passes through point 6,5.

4(6) - 5 = c

c= 24-5

c=19

4x-y=19

y=4x-19

Answer:

d > 5

Step-by-step explanation:

The circle is open which means there is no line underneath the sign, the way the arrow is facing is the same way the sign should be facing.

Answer:

the first one

Step-by-step explanation:

have a great day

Answer:

[I didn't do it right]

Step-by-step explanation:

[Deleted since it has been said to be wrong and I would not like to spread misinformation]

Answer:

[tex]\% Percent = 75 \%[/tex]

Step-by-step explanation:

Given

[tex]Painters = 32[/tex]

[tex]Interior\ Painters = 24[/tex]

Required

Determine the percentage of the interior painters

This percentage is calculated as:

[tex]\% Percent = \frac{Interior\ Painters}{Painters} * 100\%[/tex]

This gives:

[tex]\% Percent = \frac{24}{32} * 100\%[/tex]

[tex]\% Percent = \frac{24* 100\%}{32}[/tex]

[tex]\% Percent = \frac{2400\%}{32}[/tex]

[tex]\% Percent = 75 \%[/tex]

75% are painting the interiors

The correct option is D, the value of the missing side x is 5.

If the two prism are similar, then there is a scale factor that when multiplied by the dimensions of the blue prism, we get the dimensions of the green one.

If that scale is k, then we can write:

3k = 15

Solving for k:

k = 15/3

k = 5

Now, the correspondent side to the one that measures x, has a measure of 1 unit (in the blue prism), then the value of x is:

1*k = x

1*5 = x

5 = x

The correct option is D.

Learn more about scale factors:

https://brainly.com/question/25722260

#SPJ1

To solve this, we need to use the z statistic. The formula for z score is:

z = (x – u) / s

where x is sample value = less than 90, u is the sample mean = 90.6, s is the standard deviation = 17.2

z = (90 – 90.6) / 17.2

z = -0.035

From the standard distribution tables:

P (z = -0.035) = 0.4860

Therefore there is about 48.60 % chance that it will be less than 90 pounds

Answer:

It's still gonna equal 28

Answer:

10

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Equation 1 would be: 3a+2C

Equation 2 would be: 5a+3C

The system of equations are solved and the cost of adult ticket and child tickets are $ 6 and $ 4 respectively

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the adult tickets be a

Let the child tickets be c

Group A buys 3 adult tickets and 2 child tickets and pays a total of $26

So , 3a + 2c = 26   be equation (1)

And , Group B buys 5 adult tickets and 3 child tickets and pays $42

So , 5a + 3c = 42   be equation (2)

On simplifying , we get

Multiply equation (1) by 5 and equation (2) by 3 , we get

15a + 10c = 130   be equation (3)

15a + 9c = 126   be equation (4)

Subtracting equation (4) from equation (3) , we get

c = $ 4

Therefore , the cost of child ticket is $ 4

Substituting the value of c in equation (1) , we get

3a + 2 ( 4 ) = 26

3a + 8 = 26

Subtracting 8 on both sides , we get

3a = 18

Divide by 3 on both sides , we get

a = $ 6

Therefore , the cost of adult ticket is $ 6

Hence , the system of equations are solved

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ5

Answer:

-10

Step-by-step explanation:

this is the answer have a great day