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Tema [17]
3 years ago
15

The Math Club wants to order t-shirts to recognize students who improved their performance in Algebra I for their hard work and

effort. Hot Shirts charges $10 per shirt with a $15 set up charge. T-Shirt World charges $5 per shirt with a $50 set up charge.
Mathematics
1 answer:
Umnica [9.8K]3 years ago
8 0

Answer:

Cost of ordering t-shirts the same at both sides is 7

The cost is $85

Step-by-step explanation:

let x equal the number of tshirts

Hence:

15 + 10x = 50 + 5x

10x-5x= 50-15

5x = 35

35/5x

x = 7

Therefore the cost of ordering t-shirts the same at both sides is 7

The cost is $85

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How does the area of the polygons compare to π? ( π is 3.14)
soldi70 [24.7K]

The area of the polygons compare to π in the way that as more angles and sides are added to a polygon the polygon becomes closer to a circle; the perimeter slowly changes to circumference. Π is used to find the area and circumference of a circle, so as polygons come closer to becoming circles π becomes more strongly associated to the polygon. You can even use π to find the approximate area of a circle if you use the same formula (as you would to find the area of a circle) on a polygon. Another way to go about it is like this…

You can find the area of a circle if you know the circle’s circumference by using these steps:

<span>1.         Divide the circumference by π to find the diameter of the circle.</span>

<span>2.         Divide the diameter by 2 to find the radius of the circle.</span>

<span>3.         Now that you have the radius you can use the formula Area= πr2 to find the area of the circle.</span>


5 0
3 years ago
Read 2 more answers
A company has two manufacturing plants with daily production levels of 5x+14 items and 3x−7 ​items, respectively. The first plan
Anastasy [175]

Answer:

3x+24 more widgets

Step-by-step explanation:

A company owns two manufacturing plants:

1st plant: 8x+17 widgets;2nd plant: 5x-7 widgets.

To find how many more items the first plant produces daily than the second plant, we have to subtract from the number of widgets the first plant produces the second plant produces. So,

(8x+17)-(5x-7)\\ \\=8x+17-5x+7\ [\text{Eliminate brackets}]\\ \\=(8x-5x)+(17+7)\ [\text{Combine the like terms}]\\ \\=3x+24

hope this helps!

Step-by-step explanation:

4 0
3 years ago
If you shift the exponential parent function, f(x) = 2^x , right 2 units, what is the equation of the new function?
aev [14]

Answer:

g(x)=2^{x-2}

Step-by-step explanation:

<u>Translations</u>

For a > 0

f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}

f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}

f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}

f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}

Parent function:  f(x)=2^x

Translated 2 units right:  g(x)=f(x-2)=2^{x-2}

6 0
2 years ago
Read 2 more answers
PLEASE ANSWER
Flauer [41]

Answer:

c and d are correct

Step-by-step explanation:

5 0
3 years ago
What are the solutions to the quadratic equation (5y + 6)2 = 24? y = StartFraction negative 6 + 2 StartRoot 6 EndRoot Over 5 End
Paladinen [302]

Answer:

there are two solutions:

a) y=\frac{-6+2\sqrt{6} }{5}, and

b) y=\frac{-6-2\sqrt{6} }{5}

Step-by-step explanation:

In the equation: (5y+6)^2=24, since a perfect square with the unknown "y" is isolated on the left of the equal sign, we start by applying the square root on both sides of the equality, and then on isolating the unknown:

(5y+6)^2=24\\\sqrt{(5y+6)^2} =+/-\sqrt{24} \\(5y+6)=+/-\sqrt{6*4} \\(5y+6)=+/-2\sqrt{6}\\5y=-6+/-2\sqrt{6}\\y=\frac{-6+/-2\sqrt{6} }{5}

Therefore there are two solutions:

a) y=\frac{-6+2\sqrt{6} }{5}, and

b) y=\frac{-6-2\sqrt{6} }{5}

10 0
3 years ago
Read 2 more answers
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