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Airida [17]
2 years ago
11

Althea and her sister want to hang 5 pictures on a 12-foot wall. Each pic frame must be equal distance apart from each other and

the ends of the wall. The frames are 10 inches wide. How far apart will be placed?
Mathematics
1 answer:
stepan [7]2 years ago
5 0

the answer has to be 12.2

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Find the equation of this line. y= [?]x+[?]
DochEvi [55]

Answer:

y=3x-4

Step-by-step explanation:

Hi there!

Slope-intercept form: y=mx+b where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when x=0)

<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>

m=\displaystyle\frac{y_2-y_1}{x_2-x_1} where two points that fall on the line are (x_1,y_1) and (x_2,y_2)

On the graph, two points are highlighted for us: (0,-4) and (2,2). Plug these into the formula:

m=\displaystyle\frac{2-(-4)}{2-0}\\\\m=\displaystyle\frac{2+4}{2}\\\\m=\displaystyle\frac{6}{2}\\\\m=3

Therefore, the slope of the line is 3. Plug this into y=mx+b:

y=3x+b

<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>

y=3x+b

Recall that the y-intercept occurs when x=0. Given the point (0,-4), the y-intercept is therefore -4. Plug this into y=3x+b:

y=3x+(-4)\\y=3x-4

I hope this helps!

5 0
2 years ago
There are 30 students in the class and 270 apples. if the apples are divided equally among the students, how many does each stud
Ede4ka [16]

Answer:

9

Step-by-step explanation:

270/30=9

7 0
2 years ago
A scientist wants to find the radius, in feet, of this hemispherical dome. He found that the surface area of the entire sphere c
skelet666 [1.2K]
The surface area of a sphere by definition is given by:
 A = 4 * π * r ^ 2
 Where,
 r: radius of the sphere.
 Substituting the values we have:
 294 = 4 * π * r ^ 2
 We cleared the radio:
 r ^ 2 = (294) / (4 * π)
 Answer:
 An equation that I could use to find the dome's radius is:
 A. r2 = 294 square feet ÷ 4π
7 0
3 years ago
How many tens make 100
zheka24 [161]

Answer:

10

Step-by-step explanation:

10+10+10+10+10+10+10+10+10+10=100

7 0
3 years ago
Read 2 more answers
Using the concepts of marginal social benefit and marginal social cost, explain how the optimal combination of goods can be dete
PtichkaEL [24]

Answer:

Optimal combination of goods can be determined in an economy that produces only two goods, with production of extra units of the two goods at a minimal marginal social cost. The consumption of the additional units of the two goods being produced will be benefitted by the consumers. This is known as marginal social benefit.

Step-by-step explanation:

Marginal social cost is the change in society's total cost brought about by the production of an additional unit of a good or service. It includes both marginal private cost and marginal external cost.

Marginal social benefit is the change in benefits associated with the consumption of an additional unit of a good or service. It is measured by the amount people are willing to pay for the additional unit of a good or service.

6 0
3 years ago
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