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Svetradugi [14.3K]
3 years ago
8

All first-year students at Red State University must take calculus, English composition, or both. If half of the 2,400 first-yea

r students at Red State University take calculus and half do not, and one-third of those who take calculus also take English composition, how many students take English composition?
A) 400
B) 800
C) 1,200
D) 1,600
E) 2,000
Mathematics
1 answer:
seraphim [82]3 years ago
5 0

Answer:

The correct option is D) 1,600.

Step-by-step explanation:

Consider the provided information.

Half of the 2,400 first-year students at Red State University take calculus and half do not.

That means 1200 students take only English.

One-third of those who take Calculus also take English Composition, we can say

1200 take calculus and one third of it is: \frac{1200}{3}=400

400 take Calculus also take English Composition.

Thus, the total number of students taking English Composition = 400 + 1200 = 1600

Hence, the correct option is D) 1,600.

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Answer:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

X = 1
Y = 2
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2 years ago
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A cycle race began at 9:40
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The entire race took Henry 1hr:36min which is 96min. He has an average speed of 30km/hr means he's been traveling 0.5km/min
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since Henry took 96min to finish the race we multiply 0.5km/min with 96
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3 years ago
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Wilson frees home security system he has an 11% commission on every system he sells wislson sale for this month totaled $4264.00
Finger [1]

Wilson's commission is $469.04

Step-by-step explanation:

Given,

Commission = 11%

Total sales worth = $4264.00

Amount of commission = 11% of total sales worth

Amount\ of\ commission=\frac{11}{100}*4264\\\\Amount\ of\ commission=\frac{46904}{100}\\\\Amount\ of\ commission=\$469.04

Wilson's commission is $469.04

Keywords: commission, division

Learn more about division at:

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6 0
3 years ago
Suppose James has a credit card with a balance of 4289 . Each month the credit card company charges 5% interest. If James pays o
topjm [15]

Answer:

<h2>4076.56</h2>

Step-by-step explanation:

First we need to calculate the James monthly charges on his balance of 4289.

Using the simple interest formula;

Simple Interest = Principal * Rate * Time/100

Principal = 4289

Rate = 5%

Time = 1 month = 1/12 year

Simple interest = 4289*5*1/12*100

Simple interest = 21,445/1200

Simple interest = 17.87

<u>If monthly charge is 17.87, yearly charge will be 12 * 17.87 = </u><u>214.44</u>

The balance on his credit card one year from now = Principal - Interest

= 4289 - 214.44

= 4076.56

The balance on his credit card one year from now will be 4076.56

5 0
3 years ago
Please help me. ASAP.Please I need answer step-by-step.
nikitadnepr [17]

so this is how i was taught the inverse function.  f(x) is basicly the same thing as saying y

so y=x over x+3  

you switch the top x with y so it turns in to x=y over x+3

the problem should tell you what x equals so substitute x with the number it equals and then solve

here is an example f(x)=x over x+3 and x=14

x=y over x+3

14=y over 14+3

the inverse inverse function would probably be just solve the equation so just substitute the number they give you for x in for x

4 0
3 years ago
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