Jillian and Nikki each filled their cars with gasoline. The graphs below show the amount of gas in each car and the miles driven since filling the tank. A graph titled Jillian's Car has miles driven on the x-axis, and gallons of gas left on the y-axis. A line goes through (0, 22) and (100, 16). A graph titled Nikki's Car has miles driven on the x-axis and gallons of gas left on the y-axis. A line goes through points (0, 20) and (100, 16). Which statement is supported by the graphs? Jillian’s car holds more gasoline and gets better gas mileage. Nikki’s car holds more gasoline and gets better gas mileage. Jillian’s car holds more gasoline, but Nikki’s car gets better gas mileage. Nikki’s car holds more gasoline, but Jillian’s car gets better gas mileage.

Answer:

Midpoint formula is given as [(x1+x2)÷2, (y1+y2)÷2], where x and y are coordinates of the points.

Midpoint = [(19+17)÷2, (6+(-3))÷2]

= (36÷2, 3÷2)

= (18, 1.5)

The dimensions of the rectangular prisms are:

Prism M: l=4 cm , w=1 cm and h=6 cm

Prism W: l=2 cm , w=2 cm and h=6 cm

Prism Z: l=6 cm , w=1 cm and h=4 cm

Prism J: l=2 cm , w=4 cm and h=3 cm

Prism R: l=2 cm , w=3 cm and h=4 cm

Prism F: l=1 cm , w=8 cm and h=3 cm

Given, a rectangular prism with a volume of 24 cm³

Dimensions of the prism if the volume is 24 cm³.

Prism M:

l=4 cm and w=1 cm

we know that volume = h×l×w

h×4×1=24

4h=24

h=24/4

h=6 cm

Prism W:

l=4 cm and w=2 cm

we know that volume = h×l×w

h×2×2=24

4h=24

h=24/4

h=6 cm

Prism Z:

l=4 cm and w=1 cm

we know that volume = h×l×w

h×6×1=24

6h=24

h=24/6

h=4 cm

Prism J:

l=2 cm and w=4 cm

we know that volume = h×l×w

h×2×4=24

8h=24

h=24/8

h=3 cm

Prism R:

l=2 cm and w=3 cm

we know that volume = h×l×w

h×2×3=24

6h=24

h=24/6

h=4 cm

Prism F:

l=1 cm and w=8 cm

we know that volume = h×l×w

h×1×8=24

8h=24

h=24/8

h=3 cm

hence we get the required dimensions.

Learn more about Rectangular prism here:

brainly.com/question/4062480

#SPJ1

The given expressions have been evaluated to be equivalent or not equivalent as follows:

The distributive property of multiplication states that when the sum of two (2) or more addends are multiplied by a specific number, the same output (result) would be produced as when each addend is multiplied respectively by the number, and the products are added together.

Mathematically, the distributive property of multiplication is given by this expression:

a(b + c) = ab + ac.

Next, we would determine whether or not the given expressions are equivalent:

3x + 12 and 3(4 + x):

Opening the bracket, we have:

3(4 + x) = 3x + 12 (Equivalent).

2(3x - 30) and 6 - 30;

Opening the bracket, we have:

2(3x - 30) = 6x - 60

2(3x - 30) = 6 - 30 (Not equivalent).

4(5 - 4x) and 20x - 16;

Opening the bracket, we have:

4(5 - 4x) = 20 - 16x

4(5 - 4x) = 20x - 16 (Not equivalent).

Read more on distributive property here; https://brainly.com/question/28244772

#SPJ1

Answer:

2/3

Step-by-step explanation:

The formula for the slope is:

[tex]\frac{y2-y1}{x2-x1}[/tex]

Plug in (7,1) and (10, 3):

[tex]\frac{3-1}{10-7} = 2/3[/tex]

Answer:

Congruent shapes are shapes that are exactly the same. The corresponding sides are the same and the corresponding angles are the same.

Answer: Congruent mean same/equal

Step-by-step explanation: So if the have the same height,width, radius,or even angles, they can be congruent.

Answer:

Five coins are tossed the probability of getting two heads is 5/16.

Step-by-step explanation:

I hope it will be helpful for you.

Answer:

9.88x

Step-by-step explanation:

multiply both numbers together

The other side of the fence based on the information illustrated is 6.5 feet.

It should be noted that the perimeter of a rectangle is illustrated as:

= 2(length + width)

In this case, the width is given as 7/2 = 3.5 feet.

It should be noted that the perimeter is given as 20 feet.

Therefore, the length will be:

2(length + width) = 30

2(length + 3.5) = 20

2Length + 7 = 20

2L = 20 - 7

2L = 13

L = 13/2

L = 6.5

Therefore, the length is 6.5 feet.

Learn more about rectangles on:

brainly.com/question/25292087

#SPJ1

Answer:

25/6

Step-by-step explanation:

We determine the scale factor by comparing the lengths of corresponding sides of the square. 
The length of O’N’=15 and the length of ¯¯¯¯¯¯¯¯¯¯¯ON=9

The equation for the scale factor, k is then given by:

O’N’=kON

15=9k

K= 15/9= 5/3.

The scale factor is k= 5/3

It should be noted that 10^-3 × 10^6 in scientific notation is 10³.

It should be noted that scientific notation is simply used in Mathematics to express the numbers that are either too small or too large.

This will be illustrated based on the information given. In this case, we want to multiply 10^-3 × 10^6. This will be illustrated thus:

= 10^-3 × 10^6.

It should be noted that since the question is about multiplication, the powers will be added.

= 10^-3 × 10^6.

= 10³

The answer is 10³.

Learn more about power on:

brainly.com/question/15361818

#SPJ1

Answer:

Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

PEMDAS

multiplication and division are on the same level, when you see both work from left to right

addition and subtraction are also on the same leve, work from left to Right

P > E > M = D > A = S

Answer:

p e m d a s

Step-by-step explanation:

I hope it's helpful for you

Answer: 4/5

Step-by-step explanation:

y = mx + b

m represents the slope in this line.

Answer:

4/5

Step-by-step explanation:

Equation is in slope intercept form:

[tex]y = mx + b[/tex]

where m is the slope and b us the y-intercept

so, slope is 4/5

Answer:

25 miles

Step-by-step explanation:

Hakeem is starting a running plan to train for a race. In the first week of his running plan, Hakeem will run 11 miles. The plan calls for Hakeem to increase his weekly milage by 2 miles every week. If Hakeem sticks to the plan, how many miles would he be expected to run during his 8th week of the training plan?

This can be described as:

11 + 2w

when w = week

because he runs 11 miles the first week, he only has 7 weeks of 2 mile increases:

11 + 2(7) = 25 miles

The expression for the side length of the bulletin board is √n (option B).

A square is an object with four sides that are of equal length. The sum of angles in a square is 360 degrees. A square has two diagonals that are of equal length that bisect each other at a right angle.

The area of a square can be determined by calculating the square of a side length.

The area of a square = length x length

= length²

If the area of a square is given, to determine its side length, find the square root of the area.

Length of a side = √area

√n

To learn how to determine the side length of a square, please check: https://brainly.com/question/9030544

#SPJ1

The value of the area are;

Rectangle A = 54 square units

Triangle B = 2 square units

Rectangle C = 6 square units

Whole figure = 62 square units

The formula for determining the area of a rectangle is expressed as;

Area = lw

Where;

From the figure shown, we have two rectangles

Area of the bigger rectangle;

Length = 9

Width = 6

Now, substitute the value

Area = 9(6)

Multiply through

Area = 54 square units

Area of the smaller rectangle

Length = 9 - 7 = 2

Width = 9 - 6 = 3

Substitute the values

Area = 2(3)

Multiply through

Area = 6square units

The formula for area of a triangle is expressed as;

Area = 1/2 base× height

Base = 9 - 6 = 3

Height = 9 - 2 = 3

Substitute the value

Area = 1/ 2 ×2(3)

Area = 6/ 3

Area = 2

The total area = Rectangle A + rectangle B + Triangle

Total area = 54 + 6 + 2

Total area = 62 square units

Hence, the area is 62square units

Learn more about area here:

https://brainly.com/question/25292087

#SPJ1

Answer:

A=54 B=3 Whole=73

Step-by-step explanation:

I know this because i did this aswell

can't understand Ur question nicely

========================================================

Explanation:

I'll use the substitution method to solve this system of equations.

Solve the third equation for z

2x+z = 5

z = 5-2x

Then solve the second equation for y

x+2y = 5

2y = 5-x

y = (5-x)/2

y = -0.5x+2.5

Plug each of these into the first equation so we can solve for x.

x+y+z = 6

x+(-0.5x+2.5)+(5-2x) = 6

-1.5x+7.5 = 6

-1.5x = 6-7.5

-1.5x = -1.5

x = (-1.5)/(-1.5)

x = 1

Let's use this to find y and z

y = -0.5x+2.5 = -0.5*1+2.5 = 2

z = 5-2x = 5-2*1 = 3

Therefore,

x = 1

y = 2

z = 3

Or we can write it like this:  (x,y,z) = (1,2,3)

-------------------

Check:

Plug these values into equation 1 and simplify

x+y+z = 6

1+2+3 = 6

6 = 6

We get the same thing on both sides.

This confirms equation 1.

Repeat for equation 2.

x+2y = 5

1+2*2 = 5

1+4 = 5

5 = 5

This confirms equation 2.

Lastly, plug those values into equation 3

2x+z = 5

2*1+3 = 5

2+3 = 5

5 = 5

Equation 3 is confirmed.

All three equations are true when (x,y,z) = (1,2,3). The solution is fully confirmed.

When the price is $1,500 for 1,080 square feet of carpet, the price per square feet is $1.389.

It should be noted that from the information, it was stated that the price is $1,500 for 1,080 square feet of carpet.

In this case, it should be noted that the price per square feet will be:

= Total amount / Number of square feet

= $1500 / 1080

= $1.389 per square feet.

Therefore, the price is $1.389.

Learn more about price on:

brainly.com/question/1153322

#SPJ1

$1,500 for 1,080 square feet of carpet. Find the. price per square feet

The supergym sold 15,826.24 membership last year

This year it's employees sold 10,412

This number is 52% more that they sold last year

The first step is to calculate 52% of 10,412

52/100 × 10,412

= 0.52 × 10412

= 5,414.24

The number of membership sold this year can be calculated as follows

= 5414.24 + 10,412

= 15,826.24

Hence the number of membership they sold last year is  15,826.24

Read more on membership here

https://brainly.com/question/28221364

#SPJ1

The equation of the line that goes through the point (3,-3) and has a slope of -5/3 is y=(-5x+6)/3.

In mathematics, line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. The letter m is frequently used to represent a slope; reason for this is unclear, although it is first used in English by O'Brien in 1844, who wrote the equation for a straight line as "y = mx + b," and by Todhunter in 1888, who wrote it as "y = mx + c."

The ratio of "vertical change" to "horizontal change" between (any) two unique points on a line is used to compute slope. The ratio can also be written as quotient ("rise over run"), which produces same number for every two distinct points on the same line. A declining line has negative "rise." The line might be useful, as determined by road surveyor, or it might appear in a diagram that represents a road or a roof as a description or a design.

The slope's absolute value serves as a gauge for  line's steepness, incline, or grade. A steeper line is indicated by slope with a higher absolute value. A line can be drawn with one of four directions: upward, downward, horizontal, or vertical.

if we let y = mx + b, where m is the slope and b is the intercept, and y - y1 = m (x - x1), then:

3(y + 3) = - 5 (X - (-3))

3y + 9 = - 5 X + 15

3y = -5 X + 6

y=(-5x+6)/3

Check:

When x = 3, y should equal - 3, so:

Y = (- 5 (3) + 6)/3 = -3

To know more about slope visit: https://brainly.com/question/3605446

#SPJ9

We will compute the volume of each figure.

1) Figure A

We have a cone with:

• Ab = base area = 20 cm²,

• h = heigh = 5 cm.

The volume of the cone is:

2) Figure B

We have a cylinder with:

• Ab = base area = 20 cm²,

• h = heigh = 6 cm.

The volume of the cylinder is:

3) Figure C

We have an inclined cylinder with:

• Ab = base area = 20 cm²,

• h = heigh = 5 cm.

The volume of the inclined cylinder is:

4) Figure D

We have a parallelepiped with:

• Ab = base area = 20 cm²,

• h = heigh = 5 cm.

The volume of the parallelepiped is:

5) Figure E

We have an inclined square pyramid with:

• Ab = base area = 20 cm²,

• h = heigh = 10 cm.

The volume of the square pyramid is:

Answer

Among these figures, figure C and figure D have the same volume.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The probability of rolling exactly  one six = 0.04

what is probability ?

Probability is a branch of mathematics that deals with the occurrence from of a random event . the value is expressed from zero to one .Probability has been introduced in mathematics  to predict how likely events are to happen .

So , acc the question "exactly one six " means  that one roll so that probability must be doubled the probability of " not six " is 4/5 . the probability of a 6 on the roll and not on the second is 1/5 x 4/5 =4/ 25 .

The six could come on the second roll so thst probability must be doubled .

the overall probability of exactly one six 8/25 or 0.32

completing toatl probability -no sixes =4/25 x 4/25 =16/25 =0.04

two sixes =1/5x 1/5 =1/25= 0.04

Hence , the probability of rolling exactly one six = 0.04

To learn more about random event click here :https://brainly.com/question/28834752

#SPJ9

Hey you man what are you doing here go to there

Answer:

125.

Step-by-step explanation:

5^3

= 5 * 5 * 5

= 25 * 5

= 125.