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sineoko [7]
2 years ago
14

A college student needs 11 classes that are worth a total of 40 credits in order to complete her degree. The college offers both

4-credit classes and 3-credit classes.
Which system of equations can be used to determine f, the number of 4-credit classes the student can take to complete her degree, and h, the number of 3-credit classes?
A) f + h = 40
4h + 3f = 11
B) f + h = 11
4h + 3f = 40
C) f + h = 40
4f + 3h = 11
D) f + h = 11
4f + 3h = 40
Mathematics
1 answer:
iren [92.7K]2 years ago
4 0
Answer: The correct answer is Choice D.

In this problem, there are 2 different  equations. The first ones adds the 2 variables together to get a total of 11.
f + h = 11

For the second equation, each four credit class gets multiplied by 4. And each 3 credit class gets multiplied by 3. Then, they are added together to get 40.
4f + 3h = 40
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Do you need more help on this question? All of these are done the same way.

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Yuri is thinking of a 4-digit whole number. He rounds his number to the nearest thousand. His answer is 4000, what is the smalle
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Answer:

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Step-by-step explanation:

Rounding of numbers involve replacing numbers with simpler numbers. In order to round a number to the nearest thousand, the last 3 digits of the number should be considered. If the last 3 digits are less than 500, the number is rounded down(the thousand figure is unaffected), but if the last 3 digits are greater or equal to 500, the number is rounded up.

In this case, Yuri is thinking of a 4-digit whole number and he rounds his number to the nearest thousand. Since his answer is 4000, the smallest number yuri could be thinking of would be 3500 and the highest number he could be thinking of is 4499.

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Step-by-step explanation:

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Read 2 more answers
Please help me. The original blueprint of the Moreno’s’ living room has a scale of 2 inches= 5 feet. The family wants to use a n
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Answer:

Part a) The scale of the new blueprint is \frac{5}{8} \frac{in}{ft}    

Part b) The width of the living room in the new blueprint is 9.4\ in

Step-by-step explanation:

we know that

The scale of the original blueprint is

\frac{2}{5}\frac{in}{ft}

and

the width of the living room on the original blueprint is 6 inches

so

<em>Find the actual width of the living room, using proportion</em>

\frac{2}{5}\frac{in}{ft}=\frac{6}{x}\frac{in}{ft}\\ \\x=5*6/2\\ \\x=15\ ft

<em>Find the actual length of the living room, using proportion</em>

\frac{2}{5}\frac{in}{ft}=\frac{9.6}{x}\frac{in}{ft}\\ \\x=5*9.6/2\\ \\x=24\ ft

<em>Find the scale of the new blueprint</em>, divide the length of the living room on the new blueprint by the actual length of the living room

\frac{15}{24} \frac{in}{ft}

simplify  

\frac{5}{8} \frac{in}{ft}      

<em>Find the width of the living room in the new blueprint, using proportion</em>

\frac{5}{8}\frac{in}{ft}=\frac{x}{15}\frac{in}{ft}\\ \\x=15*5/8\\ \\x=9.4\ in

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