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3 years ago

The table and the graph each show a different relationship between the same two variables, x and y:

Mathematics

1 answer:

Oksanka [162]3 years ago

8 0

1. y₁ = 70x
2. y₂ = 55x

Solve y₁ - y₂ for x = 11.

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Use point-slope form to write the equation of a line that passes through the point

blagie [28]

Answer:

y - 8 = -2(x - 9)

Step-by-step explanation:

Given the slope, m = -2, and the point, (9, 8):

Let (x₁, y₁) = (9, 8)

slope (m ) = -2

We can substitute these values into the following point-slope form:

y - y₁ = m(x - x₁)

y - 8 = -2(x - 9) ⇒ This is the point-slope form.

4 0

2 years ago

A truck is being filled with cube-shaped packages that have side lengths of 1/4 foot. The part of the truck that is being filled

n200080 [17]

Answer:

24000 pieces.

Step-by-step explanation:

Given:

Side lengths of cube = $\frac{1}{4} \ foot$

The part of the truck that is being filled is in the shape of a rectangular prism with dimensions of 8 ft x 6 1/4 ft x 7 1/2 ft.

Question asked:

What is the greatest number of packages that can fit in the truck?

Solution:

First of all we will find volume of cube, then volume of rectangular prism and then simply divide the volume of prism by volume of cube to find the greatest number of packages that can fit in the truck.

$Volume\ of\ cube =a^{3}$

$=\frac{1}{4} \times\frac{1}{4}\times \frac{1}{4} =\frac{1}{64} \ cubic \ foot$

Length = 8 foot, Breadth = $6\frac{1}{4} =\frac{25}{4} \ foot$ , Height = $7\frac{1}{2} =\frac{15}{2} \ foot$

$Volume\ of\ rectangular\ prism =length\times breadth\times height$

$=8\times\frac{25}{4} \times\frac{15}{2} \\=\frac{3000}{8} =375\ cubic\ foot$

The greatest number of packages that can fit in the truck = Volume of prism divided by volume of cube

The greatest number of packages that can fit in the truck = $\frac{375}{\frac{1}{64} } =375\times64=24000\ pieces\ of\ cube$

Thus, the greatest number of packages that can fit in the truck is 24000 pieces.

7 0

3 years ago

A $65 coat is now on sale for $52. What percent discount is given?

leonid [27]

20%, because if 65 is 100, then 52 is 80% out of 65; so 100 - 80 is 20

3 0

3 years ago

Read 2 more answers

What is the justification for step 2 in the solution process?

Maksim231197 [3]

Answer:

Subtract property of deviation becasue your subtracting 6y frrom both sides of the equation.

Step-by-step explanation:

1)Given: 12y - 40 - 4y = 6y - 18

2)Simplify by adding 12y + (-4y): 8y - 40 = 6y - 18

3)Subtract property of deviation: 8y -6y - 40 = 6y -6y - 18

2y - 40 = -18

Hope this helped!

8 0

3 years ago

Read 2 more answers

When a question ask you to describe the relationship what does that mean and how will u do it

yanalaym [24]

In this case you can say in one hour Austin earns $7.50.

4 0

3 years ago