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GuDViN [60]
3 years ago
8

5/6 of the students completed homework last night, but only 3/4 of those students did their work correctly. How many students di

d their homework correctly?
Mathematics
1 answer:
Kisachek [45]3 years ago
8 0

Answer:


Step-by-step explanation:

first your going to do the least common multiple which is 12 for both then your going to subtract because were trying to find out how many students did there work correctly. so, whatever you do to the denominator you do to the numerator so, its going to be 10/12 - 9/12= 1/12 is your answer.

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User: A family spends 1/10 of its annual income for housing, 1/4 for food and clothing, 1/5 for general expenses, and 2/15 for e
Whitepunk [10]
\frac{1}{10}+\frac{1}{4}+\frac{1}{5}+\frac{2}{15}= \\ \\ \frac{1 \times 6}{10 \times 6}+\frac{1 \times 15}{4 \times 15}+\frac{1 \times 12}{5 \times 12}+\frac{2 \times 4}{15 \times 4}= \\ \\
\frac{6}{10}+\frac{15}{60}+\frac{12}{60}+\frac{8}{60}= \\ \\ \frac{41}{60}

The answer is A.
4 0
3 years ago
You have $55,000 in your savings account that pays 2.5% annual interest and the inflation rate is 3.4%. how much buying power in
lianna [129]
Your interest formula is given to you. 

<span>Interest in a year = principal (the amount invested) * rate (the interest rate) * period (the time you're measuring) </span>

<span>Interest = 55,000 * 2% * 1 year = 55,000 * 0.02 * 1 = $1,100 </span>

<span>How much would you need to have made for your spending power to keep with inflation? Your interest rate would have needed to match the inflation rate, otherwise, prices are going up faster than you're saving. </span>

<span>Required interest = 55,000 * 3.24% * 1 year = 55,000 * 0.0324 * 1 = $1,782 </span>

<span>How much buying power did you lose? The difference between your required interest and your actual interest. </span>
<span>Buying power lost = 1,782 - 1,100 = $682. You lost this much in buying power. </span>
6 0
3 years ago
Read 2 more answers
If it takes you 40 minutes to go 20 miles downstream and then 60 minutes on the way back, what is the speed of the current?
IrinaK [193]

Answer:

Speed of Current = 5 miles per hour

Step-by-step explanation:

We know distance formula,

D = RT

Where

D is distance

R is rate

T is time

If we let speed of boat (assume) to be "x" and speed of current to be "c"

Then downstream rate is (with current) = x + c

Upstream rate is (against current) = x - c

40 mins to go 20 miles downstream, that means:

D = RT

20 = (x + c)(40)

and

60 minutes to go upstream, 20 miles, that means:

D = RT

20 = (x - c)(60)

Simplifying first equation:

40x + 40c = 20

Simplifying second equation:

60x - 60c = 20

Multiplying first equation by 60, we get:

60 * [40x + 40c = 20] = 2400x + 2400c = 1200

Multiplying second equation by 40, we get:

40 * [60x - 60c = 20] = 2400x - 2400c = 800

Now we add up both these equations:

2400x + 2400c = 1200

2400x - 2400c = 800

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

4800x = 2000

x = 2000/4800 = 5/12

We need speed of current, that is "c", so we plug in the value of x into first equation and solve for c:

40x + 40c = 20\\40(\frac{5}{12}) + 40c = 20\\\frac{50}{3}+40c=20\\40c=20-\frac{50}{3}\\40c=\frac{10}{3}\\c=\frac{1}{12}

Speed of Current = 1/12 miles per minute

Since there is 60 minutes in an hours, that would be:

(1/12) * 60 = 5 miles per hour

Speed of Current = 5 miles per hour

3 0
3 years ago
How do you divide decimals
goblinko [34]
The same way you divide normal numbers, 0.5/0.5 = 1
3 0
3 years ago
Read 2 more answers
Marcia has $84 less than three times as much as sue. together they have $132. how much money does marcia have?
Brut [27]
Let x = sue
and then let 3x-84 = marcia
therefore
(x)+(3x-84)=132
4x-84=132
4x=216
x=54

however just solving for x doesnt completely solve. it only shows sues money because x = sue
for marcia
3x-84
3(54)-84
162-84
78

therefore Marcia has 78$.
5 0
3 years ago
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