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3 years ago

What is the slope of the line?

Mathematics

1 answer:

bixtya [17]3 years ago

5 0

Answer:

The slope of the line is

$\frac{2}{3}$

Step-by-step explanation:

Remember:

$slope = \frac{rise}{run}$

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A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes.

Paladinen [302]

Answer:

Answer:

\{ {{20x+30y=280} \atop {y=4x}} .{

y=4x

20x+30y=280

Where xx is the number of small boxes sent and yy is the number of large boxes sent.

Step-by-step explanation:

Let be xx the number of small boxes sent and yy the number of large boxes sent.

Since each small box can hold 20 books (20x20x ), each large box can hold 30 books (30y30y )and altogether can hold a total of 280 books, we can write the following equation to represent this:

20x+30y=28020x+30y=280

According to the information provided in the exercise, there were 4 times as many large boxes sent as small boxes. This can be represented with this equation:

y=4xy=4x

Therefore, the system of equation that be used to determine the number of small boxes sent and the number of large boxes sent, is:

\{ {{20x+30y=280} \atop {y=4x}} .{

y=4x

20x+30y=280

7 0

3 years ago

Mr. Walker asked his students to use the associative property to find an expression that is equivalent to (13 + 15 + 20) + (20 +

pychu [463]

I got it as 4 when calculating all have the same number which is 133

7 0

3 years ago

Perimeter of 26 with the length of 7 what is the width

almond37 [142]

6 would be the width

7 0

2 years ago

It takes 154 cubes with side lengths of 1/2 inch to fill a rectangular prism. What is the volume of the rectangular prism? Show

Tju [1.3M]

Answer:

The volume of the rectangular prism is 19.25 inches³.

Step-by-step explanation:

Given:

It takes 154 cubes with side lengths of 1/2 inch to fill a rectangular prism.

Now, to find the rectangular prism's volume.

We first find the volume of a cube to fill in the rectangular prism.

The side length of the cube = $\frac{1}{2}\ inch.$

Now, to get the volume of cube we put formula:

$Volume=(side)^3\\\\Volume=(\frac{1}{2})^3 \\\\Volume=\frac{1}{8}\ inch^3.$

Thus, the volume of a cube is $\frac{1}{8} \ inch^3.$

Number of cubes = 154.

According to question, it takes 154 cubes to fill the rectangular prism.

So, to get the volume of prism we need to find the volume of 154 cubes.

Now, to get the volume of 154 such cubes we multiply the volume of a cube by number of cubes:

$\frac{1}{8}\times 154\\\\ =\frac{154}{8}\\\\ =19.25\ inches^3.$

Therefore, the volume of the rectangular prism is 19.25 inches³.

3 0

3 years ago

If the length of segment AC equals 58, what is the length of the midsegment DE

Delicious77 [7]

Answer:

B) 29

Step-by-step explanation:

Given:

AC= 58

Point D and E are the midpoints of side AB and BC Respectively.

Solution:

According to Midpoint theorem which states:

"The segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side."

$\therefore$ DE= $\frac{1}{2}$ AC

DE= $\frac{58}{2} =29$

Hence length of DE is 29.

4 0

3 years ago

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