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Lisa [10]
3 years ago
14

Which of the equation of the line with slope 3 that contains point (-1,5)

Mathematics
1 answer:
SpyIntel [72]3 years ago
3 0

The point-slope form:

y-y_1=m(x-x_1)

We have the slope m = 3 and the point (-1, 5). Substitute:

y-5=3(x-(-1))

\boxed{y-5=3(x+1)}      <em>use distributive property</em>

y-5=3x+3           <em>add 5 to both sides</em>

\boxed{y=3x+8} - slope-intercept form

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A tennis coach took his team out for lunch and bought 8 hamburgers and 5 fries for $24. The players were still hungry so the coa
g100num [7]

The cost of 1 hamburger is $ 2.5 and cost of 1 fries is $ 0.8

<h3><u>Solution:</u></h3>

Let "f" be the cost of 1 fries

Let "h" be the cost of 1 hamburger

<em><u>Given that, tennis coach took his team out for lunch and bought 8 hamburgers and 5 fries for $24</u></em>

8 x cost of 1 hamburger + 5 x cost of 1 fries = 24

8 \times h + 5 \times f = 24

8h + 5f = 24 -------- eqn 1

<em><u>The players were still hungry so the coach bought six more hamburgers and two more fries for $16.60</u></em>

6 x cost of 1 hamburger + 2 x cost of 1 fries = 16.60

6 \times h + 2 \times f = 16.60

6h + 2f = 16.60 ------ eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

Multiply eqn 1 by 2

16h + 10f = 48 ------ eqn 3

Multiply eqn 2 by 5

30h + 10f = 83 -------- eqn 4

<em><u>Subtract eqn 3 from eqn 4</u></em>

30h + 10f = 83

16h + 10f = 48

( - ) ----------------------

14h = 35

<h3>h = 2.5</h3>

Substitute h = 2.5 in eqn 1

8(2.5) + 5f = 24

20 + 5f = 24

5f = 4

<h3>f = 0.8</h3>

Thus cost of 1 hamburger is $ 2.5 and cost of 1 fries is $ 0.8

5 0
3 years ago
If the side length is increased by a factor of 3, how much larger is the perimeter of a face of the new cube?
Luden [163]
The <span>perimeter of a face of the new cube is 8 times larger than the previous cube.
</span>Let us say, the side of cube before increase is "a"
Then perimeter of the cube = 12a ,

because the cube has 12 sides.
And perimeter of a face of cube = 4a
Now, the side length is increased by factor of 3 i.e. new side is 3a
Thus, perimeter of new face of the cube = 4*3a = 12a

Therefore, the new perimeter is larger by = 12a - 4a = 8a 
6 0
3 years ago
The base of a triangle is 3 cm and the height is 5 cm. What mathematical operation(s) described must be performed in order to fi
Firdavs [7]

Answer:

C.

Step-by-step explanation:

To find the area of a triangle, one must multiply the base by the height then divide by 2.

So, the area of this triangle would be 7.5

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Estimate by first rounding each number to the nearest 1/2 -4 1/6 * (-1 14/15) A.
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The correct answer is B -8 just do the work :)
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Answer: A

Step-by-step explanation:

The easiest way to solve this problem would to first figure out how long it takes for Mak to run 1 mile. To do that, you would need to divide 50 by 4 which would give you 12.5. So, it takes Mak 12 and a half minutes to run 1 mile. From there, you would need to multiply 12.5 by 10 to get 125. Finally, you wold need to simplify 125 minutes to hours giving you 2 hours and 5 minutes.

5 0
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