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Brut [27]
2 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]2 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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Draw a rectangle that has a perimeter of 20 units and an area of 25 square units
marissa [1.9K]
<h2>Explanation:</h2><h2></h2>

For any rectangle the dimensions are given by:

w:width \\ \\ l:Length

So the perimeter (P) is given by the following equation:

P=2(w+l)

And the area is:

A=w\times l

We know that:

P=20units \\ \\ A=25units^2

By substituting:

20=2(w+l) \\ \\ \therefore w+l=10 \ \ldots eq1 \\ \\ \\ 25=w\times l \ldots eq2

Solving for w from eq1:

w=10-l

Substituting into eq2:

25=(10-l)\times l

Then:

\text{Solving for l:} \\ \\ \\ 10l-l^2=25 \\ \\ 10l-l^2-25=25-25 \\ \\ -l^2+10l-25=0 \\ \\ x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a} \\ \\ \\ a=-1,\:b=10,\:c=-25 \\ \\ \\ l_{1,\:2}=\frac{-10\pm \sqrt{10^2-4\left(-1\right)\left(-25\right)}}{2\left(-1\right)} \\ \\ l_{1,\:2}=\frac{-10\pm \sqrt{0}}{2\left(-1\right)} \\ \\ l=5

Solving for w:

w=10-5=5

So this rectangle is a square and is shown below.

8 0
2 years ago
last year she had 12 records in her collection. now she has 15. what is the percent increase of her collection
pochemuha

Answer:

Her percent increase would be 25%.

Step-by-step explanation:

7 0
3 years ago
Three students have started a fence-painting business. Working together, Pragnesh and Qazi can paint the fence in 2 hours. Simil
vlada-n [284]

Answer: 55.4 mins

Step-by-step explanation:

pragnesh and qazi = 2hrs

pragnesh and roghui = 3hrs

qazi and roghui = 4hrs

this means for every 1 hour they wold paint.

pragnesh and qazi = \frac{1}{2} half of the fence

pragnesh and roghui = \frac{1}{3}

qazi and roghui = \frac{1}{4} quarter of the fence

time taken when they all work together

= \frac{1}{2} + \frac{1}{3} + \frac{1}{4}

= \frac{13}{12}

= \frac{12}{13}

= 0.9231 × 60(mins)

= 55.4 mins

8 0
2 years ago
What is 103% of 127 tons???
Pie
%/100=is/off
so you plug in the numbers and cross-multiply.
103times127 equal 13081.
than divide it by 100 the answer is 130.81
8 0
3 years ago
Need help with this question ! Due soon*
Doss [256]

Answer:

x = 10, AB = 57

Step-by-step explanation:

In a trapezoid, the length of the median is one-half the sum of the lengths of the bases. From this, we have:

\frac{1}{2} (5x + 7 + 8x - 11) = 63

13x - 4 = 126

13x = 130

x = 10

5(10) + 7 = 50 + 7 = 57

5 0
2 years ago
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