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sergiy2304 [10]
3 years ago
5

You are choosing between two health clubs. Club A offers membership for a fee of $60 plus a monthly fee of $85. Club B offers me

mbership for a fee of
$35 plus a monthly fee of $90. After how many months will the total cost at each health club be the same?
A.5
B.6
C.4
D. They will never be the same, Club B will always be a higher cost.
Mathematics
1 answer:
Lyrx [107]3 years ago
7 0

Answer:

The answer is D. But Club A will always be  a Higher price

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A square grassy field is watered by 4 sprinklers. The sprinklers spray water in a circular pattern, as shown above. If the field
enot [183]
The answer is (3600 - 900π) ft²

Step 1. Find the radius r of circles.
Step 2. Find the area of the portion of the field that will be watered by the sprinklers (A1)
Step 3. Find the total area of the field (A2)
Step 4. Find the area of the portion of the field that will not be watered by the sprinklers (A)

Step 1. Find the radius r of circles
r = ?
According to the image, radius of a square is one fourth of the field side length:
r = s/4
s = 60 ft
r = 60/4 = 15 ft

Step 2. Find the area of the portion of the field that will be watered by the sprinklers.
The area of the field that will be watered by the sprinklers (A1) is actually total area of 4 circles with radius 15 ft.
Since the area of a circle is π r², then A1 is:
A1 = 4 * π r² = 4 * π * 15² = 900π ft²

Step 3. Find the total area of the field (A2)
The field is actually a square with side s = 60 ft.
A2 = s² = 60² = 3600 ft²

Step 4. Find the area of the portion of the field that will not be watered by the sprinklers (A).
To get the area of the portion of the field that will not be watered by the sprinklers (A) we need to subtract the area of 4 circles from the total area:
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3 years ago
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What are rational numbers
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A rational number is a number that can be written as a fraction or "ratio".
It includes the set of integers because all of them have a denominator of 1.  A rational number can take on the form of \frac{a}{b} where b ≠ 0.  Terminating and repeating decimals are rational numbers because they too can be written as a ratio; for example, 0.3 = \frac{3}{10} or 0.3333... = \frac{1}{3}.  
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The ratio of students to teachers at a school is 19 to 1 how many students are there in each total number of people
vladimir2022 [97]

<u>Question</u>:

The ratio of students to teachers at a school is 19 : 1. How many students are there in each total number of people?

A: 100 people

b. 280 people

c.440 people

d.760 people

<u>Answer</u>:

A )95 students  and 5 teachers

B)266 students  and 14 teachers

C)418 students  and 22 teachers

D)722 students  and 38 teachers

<u>Step-by-step explanation:</u>

<u><em>A: 100 people</em></u>

Ratio  =  19  :  1

The sum of the ratio is 19 + 1 = 20

Scale factor  = \frac{100}{20}

scale factor  = 5

The number students is 19 \times 5 = 95

The number of teachers is 1 \times 5 = 5

<em><u>b. 280 people </u></em>

Ratio  =  19  :  1

The sum of the ratio is 19 + 1 = 20

Scale factor  = \frac{280}{20}

scale factor  = 14

The number students is 19 \times 14 = 266

The number of teachers is 1 \times 14 =  14

<em><u>c.440 people</u></em>

Ratio  =  19  :  1

The sum of the ratio is 19 + 1 = 20

Scale factor  = \frac{440}{20}

scale factor  = 22

The number students is 19 \times 22 = 418

The number of teachers is 1 \times 22 =  22

<em><u>d.760 people</u></em>

Ratio  =  19  :  1

The sum of the ratio is 19 + 1 = 20

Scale factor  = \frac{760}{20}

scale factor  = 38

The number students is 19 \times 38 = 722

The number of teachers is 1 \times 38 =  38

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The area is the area of the rectangle minus the semicircle.

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G(x)=(x+3)2 we must find x? so x+3=0 x=-3 we transformation -3 on left
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