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Brut [27]
3 years ago
13

A dance studio requires each dancer to pay a registration fee plus an hourly rate for all lessons. If the total cost, y, of a da

ncer's lesson is modeled by the equation y = 25x + 50, how could the y-intercept be interpreted?
Mathematics
1 answer:
Marat540 [252]3 years ago
7 0

Answer:

(0,50)

Step-by-step explanation:

Given the total cost of a dancers lesson  modeled by the equation y = 25x + 50, the y intercept occurs at the point where x = 0.

Substitute x = 0 into the expression

y = 25x + 50

y = 25(0) + 50

y = 0+50

y = 50

Hence the y intercept is (0, 50). This shows that the total cost of the dancers lesson registration fee is 50

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Three siblings date Kate and Sarah spent 100 hours helping Habitat for Humanity build new housing .Sarah worked 15 hours more th
Inessa [10]
The starting equation is
100=S+D+K
S is for Sarah, D is for Dave, and K is for Kate

This is what we know:
S=15+D
and
K=D-5
Now that we know how to find the values of everything, we must plug it in.

100=(15+D)+D+(D-5)
Combine like terms.
100=10+3D
Subtract 10 to isolate variable.
90=3D
Divide by 3 to isolate variable.
30=D
Plug in number to find the answers.

Answer:
Sarah worked for 45 hours
Dave worked for 30 hours
Kate worked for 25 hours
3 0
3 years ago
Read 2 more answers
PLEASE ANSWER THIS . Goran's company makes solid balls out of scrap metal for various industrial uses. For one project, he must
Ainat [17]

Cost of aluminum required to make a ball of radius 7.5 inches is $ 161.71

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

Given that  

Goran's company makes solid balls out of scrap metal for various industrial uses.

For one project, he must make aluminum balls that have a radius of 7.5 inches.

Cost of aluminum = $0.12 per cubic inches

Need to determine cost of aluminum to make one ball.

Lets first calculate the volume of one ball

As shape of the ball is sphere , we can use volume of sphere formula

\text {Volume of ball }=\text { Volume of sphere }=\frac{4}{3} \pi r^{3}

Where "r" is the raius of ball

Given that radius of required ball = 7.5 inches

\text { So, volume of ball of radius } 7.5 \text { inches }=\frac{4}{3} \pi \times 7.5^{3}

=\frac{4}{3} \times 3.14 \times 321.875=1347.5833 \text { cubic inches }

So quantity of aluminum required is same as volume of ball = 1347.5833 cubic inches  

Cost of aluminum for 1 cubic inch = $0.12

<em><u>So cost of aluminum required to make a ball of aluminium of 1347.5833 cubic inches is given as:</u></em>

=0.12 \times 1347.5833=\$ 161.71

8 0
3 years ago
Consider the following polynomial expression: 4x^5-16x^2+13x^8. Part A: Write the polynomial expression in standard form.
zavuch27 [327]

Answer:

13x^8 + 4x^5 - 16x^2

Step-by-step explanation:

Standard form is just rearranging each group of numbers so that the group with the most exponents on the variables is at the beginning. So it's basically least to greatest but with exponents. Hope this helped!

7 0
4 years ago
4/r=5/7solve for r. Help pls
antiseptic1488 [7]
Hello!

You first cross multiply

4 * 7 = 28

5 * r = 5 * r

r * 5 = 28

Divide both sides by 5

r = 28/5 = 5.6

The answer is 28/5 or 5.6

Hope this helps!
4 0
3 years ago
Read 2 more answers
How do you do this question?
Bess [88]

Answer:

see attached

Step-by-step explanation:

My choices are shown with green check marks.

___

An odd-degree polynomial cannot have a global maximum.

You can write a polynomial in intercept form with complex values:

 (x-i)(x+i) = 0

An even degree polynomial does not necessarily have any real roots:

  x^2 +2 = 0

4 0
4 years ago
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