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Kamila [148]
2 years ago
14

Which of the following equations, represents the line with a slope of -2/5 and a y-intercept of 2?

Mathematics
1 answer:
ValentinkaMS [17]2 years ago
7 0

Answer:

2)

Step-by-step explanation:

Y intercept means x=0.

y=mx+c

m is the slope

y=-2/5x+c

Y intercept is 2

y=(-2/5)0+c =2

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60 is 25% of what number?
Marysya12 [62]
Your answer would be 15. You first would move the "pretend" decimal to the left 2 times. so it would end up being 0.25. So then you would set up your problem. 0.25 x 60 =. Which should give you the answer of 15.
5 0
3 years ago
Read 2 more answers
I scream for ice cream sells specialty ice cream in three​ flavors: rocky​ road, peanut​ butter, and fruity tooty. it sold​ 17,0
oksian1 [2.3K]
---------------------------------------------------------------------
Find Sales Price of 5 gallons of ice-cream:
---------------------------------------------------------------------
Sales price of Fruity Tooty = $6.00
Sales price of Peanut Butter = $5 x 2 = $10.00
Sales price of Rocky Road = $5.25 x 2 = $10.50
Total Sales Per 5 gallon = $6 + $10 + $10.50 = $26.50

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Find Variable Cost of 5 gallons of ice-cream:
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Variable Cost of Fruit Tooty = $5.25
Variable Cost of Peanut Butter = $4.50 x 2 = $9.00
Variable Cost of Rocky Road = $4 x 2 = $8.00
Total Variable Coast = $5.25 + $9 + $8 = $22.25

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Fixed Cost Given:
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Fixed Cost = $7500

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Define x:
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Let x be the number of 5 gallons that need to be sold to breakeven:

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Find x:
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26.50x = 7500 + 22.25x

26.50x - 22.25x = 7500

4.25x = 7500

x = 7500 ÷ 4.25

x = 1764.7 (Nearest tenth)

---------------------------------------------------------------------
Find the number of gallons of ice-cream needed:
---------------------------------------------------------------------
Total number of 5 gallons needed = 1764.7

Total gallons needed = 1764.7 x 5 =8823.5

---------------------------------------------------------------------
Answer: I sceam needs to sell 8823.5 gallons of ice cream to break even.
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8 0
2 years ago
The coordinate m is 2.5 and mn=4. What are the possible coordinates for n
steposvetlana [31]
Refer to the figure shown below.

The coordinates of point m are (2,5).
Let (x,y) = the coordinates of pont n.

Because mn = 4, use the Pythagorean theorem to obtain
(x - 2)² + (y - 5)² = 4²

This represents a circle with center at (2,5) and radus = 4.

Answer:
Possible coordinates for n lie on the circle (x-2)² + (y-5)² = 16.

7 0
3 years ago
Is Figure B a scale copy of Figure A?
Flauer [41]

Answer:

Yes

Step-by-step explanation:

Each side length of Figure A is 3 times the length of the corresponding length in Figure B, so the scale factor is 3

7 0
1 year ago
What is the area of a triangle whose vertices are D(3,3), E(3,-1), and F(-2,-5)?
Elis [28]

There is a formula which employs the use of determinants and which helps us calculate the area of a triangle if the vertices are given as (x_1,y_1),(x_2,y_2),(x_3,y_3). The formula is as shown below:

Area=\frac{1}{2}\begin{vmatrix}x_1&y_1&1 \\ x_2&y_2&1\\ x_3&y_3&1\end{vmatrix}

Now, in our case, we have: (x_1,y_1)=(3,3)

(x_2,y_2)=(3,-1), and

(x_3,y_3)=(-2,-5)

Thus, the area in this case will become:


Area=\frac{1}{2}\begin{vmatrix}3&3&1 \\ 3&-1&1\\ -2&-5&1\end{vmatrix}

Therefore, Area=\frac{1}{2}\times [[3(-1\times 1-(-5)\times 1]-3[3\times 1-(-2)\times 1]+1[3\times -5-2]]= \frac{1}{2}\times -20=-10

We know that area cannot be negative, so the area of the given triangle is <u>10 squared units</u>.



3 0
3 years ago
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