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ozzi
3 years ago
6

A swim teacher sells lesson packages. The best deal has the highest ratio of lessons to total cost.

Mathematics
1 answer:
tester [92]3 years ago
3 0

Answer:

15 lessons for $ 80

Step-by-step explanation:

In case 1

Cost of 1 lesson = $10

In case 2

Cost of 1 lesson = 40/5 = $8

In case 3

Cost of 1 lesson = 80/10 = $8

In case 4

Cost of 1 lesson = 80/15 = $ 5.33

Hence,

The best deal is case 4 i.e 15 lessons for $ 80

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True or False. Is (3,1) a solution to this system:
Alisiya [41]

It would be false since none of them are equal to 1.

8 0
4 years ago
What's 0.1002 to the nearest thousandth
Valentin [98]
0.1
the 0 is in the thousandths place plus the 2 os next to is since 2<5 it is 0
6 0
4 years ago
Hello! How do I find the surface area of this prism? Thanks!
Studentka2010 [4]
Answer: Choice C) 124 square cm

------------------------------------------------------------------

Explanation:

Let's calculate the area of the trapezoid shown
b1 and b2 are the parallel bases; h is the height of the 2D trapezoid
b1 = 2
b2 = 5
h = 1.5

A = h*(b1+b2)/2
A = 1.5*(2+5)/2
A = 1.5*7/2
A = 10.5/2
A = 5.25
The area of one 2D trapezoid is 5.25 sq cm
There are two of these trapezoids that form the base faces of the trapezoidal prism. So the total base area is 2*5.25 = 10.5 sq cm
Keep this value (10.5) in mind. We'll use it later.

------------

Now onto the lateral surface area (LSA)
It turns out that the formula for the LSA is
LSA = p*d
where 
p = perimeter of the trapezoid shown
d = depth or height of the 3D trapezoid (I'm not using h as it was used earlier)
This formula works for any polygonal base. It doesn't have to be a trapezoid.

In this case the perimeter is,
p = 1.7+2+2.65+5
p = 11.35

So
LSA = p*d
LSA = 11.35*10
LSA = 113.5

Add this LSA to the base area found earlier
10.5+113.5 = 124

The total surface area is 124 square cm
8 0
4 years ago
Look at the angles for all regular polygons. As the number of sides increases, do the measures of the angles increase or decreas
Verdich [7]

Answer:

As the number of sides increases, the measures of the angles increase

see the explanation

Step-by-step explanation:

we know that

The measure of the interior angle in a regular polygon is equal to

x=\frac{(n-2)}{n}(180^o)

where

n is the number of sides of the regular polygon

x is the measure of the interior angle in a regular polygon

we have that

<u><em>Examples</em></u>

<em>A triangle</em>

n=3 sides

x=\frac{(3-2)}{3}(180^o)=60^o

<em>A square</em>

n=4 sides

x=\frac{(4-2)}{4}(180^o)=90^o

<em>A pentagon</em>

n=5 sides

x=\frac{(5-2)}{5}(180^o)=108^o

<em>A hexagon</em>

n=6 sides

x=\frac{(6-2)}{6}(180^o)=120^o

so

n ----> 3,4,5,6...

x ----> 60°,90°,108°,120°,...

As the number of sides increases, the measures of the angles increase

The pattern is x=\frac{(n-2)}{n}(180^o)

5 0
3 years ago
Use fraction strips to help you complete the number line then locate and draw a point for the fraction 1/3
Finger [1]
<span>Halves, thirds, fourths, sixths, eighths (e.g., 1/2, 1/3, 1/4, 1/6, 1/8) these are some answers </span>
6 0
4 years ago
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