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marta [7]
3 years ago
11

At a small private college 9 / 20 of the students are female if there are 2160 female students how many male students

Mathematics
1 answer:
drek231 [11]3 years ago
8 0

Answer:

4800

Step-by-step explanation:

x is the number of total students

x * 9/20 = number of female students

x * 9/20 = 2160

Multiply each side by 20/9

x * 9/20 * 20/9 = 2160 * 20/9

x =4800

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A carpenter uses a hand saw to cut a piece of wood in half. The length of the saw blade is 40 cm, while the wood he is cutting i
Oxana [17]

Answer:

The equation that models how far from the tip of the saw is from the wood in terms of time is x(t) = 10×cos(2×π×t) + 17

Step-by-step explanation:

The given parameters are;

Length of the saw blade = 40 cm

Thickness of the wood across = 8 cm

Length of blade between wood saw handle with hand extended = 5 cm

Length of the tip from the wood at the above time = 40 - 8 - 5 = 27 cm

Length of blade between wood saw handle with saw pulled inwards = 25 cm

Length of the tip from the wood at the above time = 40 - 8 - 25 = 7 cm

Time for one complete cycle = 1 second

We note that the basic equation for oscillatory motion is of the form;

x(t) = A·cos(ωt) + d

Where:

A = Amplitude of the motion = (27 - 7)/2 = 10 cm

ω = Angular frequency = 2·π/T

ωt = Motion's phase

t = Time of the motion

d = The middle location = 27 - 10 = 17 cm

T = The time to complete a cycle = 1 s

Therefore;

ω = 2·π

Given that he stars with his arm extended out, we have;

27 = 10×cos(2×π×0) + 17

Therefore, the equation that models how far from the tip of the saw is from the wood in terms of time is x(t) = 10×cos(2×π×t) + 17.

4 0
4 years ago
Each year a store decrease the price of a certain model of a TV by $35 if the price in 2001 was $1950 what is the price in 2009
Ronch [10]

Answer:

1,670

Step-by-step explanation:

35x8= 280

1950-280= 1,670


7 0
4 years ago
Cheryl plans to bake cookies tomorrow and needs to purchase chocolate chips and pecans for no more than $25 total. Chocolate chi
boyakko [2]

The inequality that correctly represents this scenario is given as follows:

2x + 5y \leq 25

The graph is given at the end of the question.

<h3>What is a system of inequalities?</h3>

A system of inequalities is when two or more variables are related, and inequalities are built to find the values of each variable.

In this problem, the variables are given as follows:

  • Variable x: number of chocolate chips purchased.
  • Variable y: number of pecans sold.

Chocolate chips are $2 per pound and pecans are $5 per pound. She wants to spend at most $25, hence:

2x + 5y \leq 25

More can be learned about a system of inequalities at brainly.com/question/3656398

#SPJ1

6 0
2 years ago
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larisa [96]
One inequality would be 9d + 10 > 72
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Which of the following transformations result in<br> congruent figures?
Eddi Din [679]

Answer:

Step-by-step explanation:

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