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VARVARA [1.3K]
2 years ago
8

The student to faculty ratio at a small college is 17:3 the total number of students and faculty is 740. How many faculty member

s are there at the college?
Mathematics
1 answer:
larisa86 [58]2 years ago
3 0

Answer:

111

Step-by-step explanation:

It is given that the student to faculty ratio at a small college is 17:3.

Let number of students and faculty members are 17x and 3x respectively.

It is given that total number of students and faculty is 740.

17x+3x=740

20x=740

Divide both sides by 20.

x=37

Number of student =17\times 37=629

Number of faculty members =3\times 37=111

Therefore, there are 111 faculty members at the college.

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This point represents the amount of money the computer was worth at its lowest point.

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Answer:

$15.25

Step-by-step explanation:

$7.50+$4.85+$12.25 +$9.00 +$8.15 = $41.75

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Express 5.555... in the form of a geometric series.
Evgesh-ka [11]

5.555 = 5.1 + 0.05 + 0.005

<span>          = 5.5 + 0.05 + 0.05(.1)</span>

<span>            = 5.5 + 0.05/(1-.1)</span>

<span>            =5.5+0.05/.9</span>

<span>            =5.5 + 5/90</span>

<span>            = 5.5+1/18</span>

<span>            =55/10 + 1/18</span>

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4 0
2 years ago
The Leaning Tower of Pisa in Italy was built between 1173 and 1350. A. Write an equation in slope-intercept form for the yellow
mote1985 [20]

Answer:

The answer is below

Step-by-step explanation:

From the image of the leaning tower of Pisa, we can see that it passes through the point (7.75, 0) and (10.75, 42).

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(x_1,y_1)\ and\ (x_2,y_2)\ is:\\\\y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)

Hence since it passes through  (7.75, 0) and (10.75, 42), the equation is:

y-0=\frac{42-0}{10.75-7.75} (x-7.75)\\\\y=14(x-7.75)\\\\y=14x-108.5

b) When the tower is 56 meters tall, i.e. y = 56, we need to find the value of x:

y = 14x - 108.5

56 = 14x - 108.5

56 + 108.5 = 14x

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x = 164.5/14

x = 11.75

When the tower is 56 meters tall, the top of the tower is 11.75 m off center

5 0
2 years ago
A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than t
belka [17]

system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y is  x+8y=68 and 3x+4y=64   .

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

Here we have , A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same. We need to find Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y . Let's find out:

Let the price in dollars of each large candle, x, and each small candle, y .So

A customer at a store paid $64 for 3 large candles and 4 small candles

Equation is  :

⇒ 3x+4y=64  .....(1)

At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles.

Equation is  :

⇒ x+8y=68  .......(2)

3(2)-(1) i.e.

⇒ 3(x+8y)-(3x+4y)=68(3)-64

⇒ 20y=140

⇒ y=7

So , x+8y=68  

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⇒  x=12

Therefore , system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y is  x+8y=68 and 3x+4y=64   .

7 0
2 years ago
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