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antiseptic1488 [7]
3 years ago
8

Rosa is participating in a fun run to raise money for the West Side Children's Hospital. The run is held at Rosa's high school t

rack. The more laps Rosa runs around the track, the more money she raises for the hospital.
There is a proportional relationship between the number of laps Rosa runs, x, and the amount of money she raises for the hospital (in dollars), y.
x (laps) y (dollars)
1 $5
2 $10
3 $15
4 $20
Write an equation for the relationship between x and y.
y=
Mathematics
1 answer:
Kaylis [27]3 years ago
5 0

Answer:

y=5x

Step-by-step explanation:

A proportional relation is of the form y=kx

To find k, we put any ordered pair from the table and solve for k.

From the table when x=1, k=5

This implies that:

5=k(1)

We simplify to get;

k=5

We put this back into the equation to get:

y=5x

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The discriminant of the quadratic equation 2x2 - 4x + 3 = 0 is
inna [77]

Answer:

(A) -8

Step-by-step explanation:

∆=b^2 -4ac= (-4)^2-4(2)(3)= -8

Since discriminant<0, then the equation has no roots.

6 0
3 years ago
Read 2 more answers
Syrus is buying a tent with the dimensions shown below. The volume inside the tent is 363636 feet^3 3 cubed. Syrus isn't sure if
stealth61 [152]

Answer:

The height of the tent = 3 feet

Step-by-step explanation:

Question

Syrus is buying a tent with the dimensions shown below. The volume inside the tent is 36 feet^3. Syrus isn't sure if the tent will be tall enough for him to sit up inside. The tent is the shape of triangular prism whose length is 6 feet and width is 4 feet. What is the height of the tent?

Given:

Length of the tent = 6 feet

Width of the tent = 4 feet

Volume of the tent = 36 feet^3

To find the height of the tent.

Solution:

Since the ten is in shape of triangular prism, so the volume of traingular prism is given as:

V=\frac{1}{2}\times l\times w\times h

where l represents length, w represents width and h represents height of the prism.

Plugging in the know values of the dimension of the tent and the volume to find the height of the tent.

36=\frac{1}{2}\times 6\times 4\times h

Simplifying.

36=12h

Dividing both sides by 12.

\frac{36}{12}=\frac{12h}{12}

3=h

∴ h=3

Thus, the height of the tent = 3 feet

5 0
3 years ago
Read 2 more answers
Can I name my Angle VTS as STV? And use it interchangeably in proving?
swat32

Answer:

both angles are the same, so you can use it interchangeably in proving.

But i suggest you to mantain only one, because it's easier to understand and it looks better.

5 0
3 years ago
How many positive integer factors of 100! are multiples of 2 or 3?
elena-s [515]

Positive integer factors of 100:

1, 2, 4, 5, 10, 20, 25, 50, 100

Now find if they are a multiple of 2 or 3.

2, 4, 10, 20, 50, 100

That is 6 factors.

3 0
3 years ago
How can I solve this does anyone knows?
Ipatiy [6.2K]
A. C = 17h + 15
b. 83 = 17h + 15 
    -15           - 15  subtract 15 from both sides 
    68 = 17h
    ------------
         17               divide both sides by 17
      4=h  
  They cleaned the house for 4 hours
c. C = 20x
to do this last part, you would put both equations into the calculator under y=, then look at the table to determine when the price is the same. According to the calculator, the price is the same at 5 hours 
7 0
3 years ago
Read 2 more answers
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