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Crazy boy [7]
2 years ago
11

3

Mathematics
1 answer:
zaharov [31]2 years ago
6 0

The solutions are given below:

1. 3y- 9 = 2x

2.  2/3.

3. y/x

4.  y = (2/3)x + 3

<h3>What is equation of line?</h3>

The equation of a line with one given point (x1, y1) is (y - y1) = m(x - x1). Here m is the slope of the line.

The complete question is:

On a coordinate plane, a line goes through (0, 3) and (x, y). A triangle has a rise of 2 and run of 3. A larger triangle has a rise of 5 and run of 7.

Use similar triangles to determine the equation of the line with a slope of 2/3 that passes through the point (0, 3).

What is the ratio of the rise to the run in the smaller triangle in the diagram?

What is the ratio of the rise to the run in the larger triangle in the diagram?

What is the equation of the line in slope-intercept form?

1. slope= 2/3

coordinates= (0, 3)

y-y1 = m(x-x1)

y-3 = 2/3(x-0)

y-3 = 2/3x

3y- 9 = 2x

2. The ratio of the rise to the run in the smaller triangle in the diagram

is y/x = 2/3

3. The ratio of the rise to the run in the larger triangle = y/x

4. The equation of the line in slope-intercept form is given by:

  y = (2/3)x + 3

Learn more about this concept here:

brainly.com/question/15799501

#SPJ1

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Answer:

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Soloha48 [4]

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6 0
2 years ago
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Your family goes to a Southern-style restaurant for dinner. There are 7 people in your family. Some order the chicken dinner for
butalik [34]

Answer:

a) 4 people ordered streak dinner

b) 3 people ordered chicken dinner

Step-by-step explanation:

Let the number of people that ordered steak dinner be x

and the number of people that ordered chicken dinner be y

From the question,

There are 7 people in your family

Hence, we can write that

x + y = 7 ...... (1)

Also from the question

Some order the chicken dinner for $13 and some order the steak dinner for $18 and the total bill was $111.

We can then write that

13y + 18x = 111 ...... (2)

From equation (1)

x + y = 7

Then,

x = 7 - y ...... (3)

Put this into equation (2)

13y + 18x = 111

13y + 18(7 - y) = 111

13y + 126 - 18y = 111

-5y = -15

5y = 15

y = 15 / 5

y = 3

Put the value of y into equation (3) to get x

x = 7 - y

Then

x = 7 - 3

x = 4

Hence, 4 people ordered streak dinner

and 3 people ordered chicken dinner

a) 4 people ordered streak dinner

b) 3 people ordered chicken dinner

3 0
2 years ago
Please help me solve this it's due tmr
gladu [14]
This problem is about adding up the surface area of all of the surfaces he will paint and then dividing it by 200 to find how many gallons he will need to buy. Since he won't paint his roof, we need to find the surface area of every square foot that he will paint. So to do this it is just doing the area formula A=L*W for rectangles, and A=1/2*H*W, for the triangles. So he will paint 2 triangular spaces, the front and the back, plus he will paint 4 rectangular walls. So let's do the very front section first. When looking straight at the front u see a rectangle and a triangle. So let's find the area of both. The rectangle we need to plug in the length, or in other words the height, which is 8 feet. The width is 12 ft. So what is 8 times 12? It is 96 sq. ft. So 96 square feet is the front rectangle. There is another rectangle on the back of the shed that's the same dimensions that he will paint, so instead of doing that again we can just multiply 96 sq ft by 2, which is 192 sq ft. Now let's do the 2 triangles he will paint. Both of the triangles are the same exact dimensions, so what we do is plug the numbers in, the height is 4 ft. So it looks like 1/2 * 4 ft * 12 ft. 1/2 of 4 is 2, so multiply 2 by 12, which equals 24. So one of the triangles has 24 sq ft, but since there is another one on the back side that he will paint, we multiply that by 2 to save time. This will equal 48 sq ft. Now all we have to do is the other two walls on the sides. This is the same formula, A= L*W. so length is the same as the other 2 rectangles because they are the same height, so the length is 8 ft. And the width is 20 ft. What is 20 times 8? 20 times 8 is 160 sq ft. Since there is another wall just like that on the other side, we multiply that by 2 to get 320 sq ft. Now we add all of it up. 320+ 48+ 192= 560 sq ft. So he will paint 560 sq ft. What is 560 divided by 200? It will be 2.8, so he will have to buy 2.8 gallons of paint. Since you can't buy 2.8 gallons of paint, he will really buy 3 gallons, so he will have some left over. Since 1 gallon cost $48, we will need to multiply 48 by 3, to give us 144. So he will spend $144 on paint to paint his shed. I hope this helps
8 0
3 years ago
Which point is not on the graph of the equation y=10+x
SCORPION-xisa [38]

Answer:

C

Step-by-step explanation:

Check all points:

A: x=0, y=10, then from the equality 10=10+0 follows that A lies on the line.

B: x=3, y=13, then from the equality 13=10+3 follows that B lies on the line.

C: x=8, y=2, then from the inequality 2=10+8 follows that C doesn't lie on the line.

D: x=5, y=15, then from the equality 15=10+5 follows that D lies on the line.

8 0
3 years ago
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