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morpeh [17]
1 year ago
6

A student received an 82% on an exam. If there were 50 questions on the exam, which ratio would show the number of questions ans

wered correctly to the total number of questions? A. 25:50 B. 59:50 C. 82:50 D. 41:50
Mathematics
2 answers:
solmaris [256]1 year ago
8 0
Hello!

To solve this we have to find what 82% of 50 is

So we do 50 * 0.82 where 0.82 is 82% as a decimal.

This gives us 41

So the answer is D

Hope this helps!
Oksana_A [137]1 year ago
8 0
Total questions = 50
Correct Answer = 82% x 50 = 0.82 x 50 = 41

Ratio of questions answered correctly to total number of questions:
41 : 50 

--------------------------------------------
Answer: 41 : 50 (Answer D)
--------------------------------------------
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Wittaler [7]
Yes, 0.1 is less than 5.00. 

5.00 is a whole number, while 0.1 is less than that, so yes, you were correct.

Have a nice day! :)
7 0
1 year ago
2 A pharmacist has a 13 % alcohol solution and another 18 % alcohol solution. How much of each must he use to make 50 grams of a
nalin [4]
<h2>Therefore he took 40 gram of 1^{st} type solution and 10 gram of 2^{nd} type solution.</h2>

Step-by-step explanation:

Given that , A pharmacist 13% alcohol solution another 18% alcohol solution .

Let he took x gram solution of 1^{st} type solution

and he took (50-x) gram of 2^{nd} type solution.

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Total amount of solution = 50 gram

According to problem

⇔\frac{ [x\times\frac{13}{100}] +[(50 -x) \times\frac{18}{100} ]}{50}= \frac{14}{100}

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⇔5x = 200

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Therefore he took 40 gram of 1^{st} type solution and (50 -40)gram = 10 gram of 2^{nd} type solution.

7 0
2 years ago
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Manuela solved the equation 3−2|0.5x+1.5|=2 for one solution. Her work is shown below. 3−2|0.5x+1.5|=2 −2|0.5x+1.5|=−1 |0.5x+1.5
lions [1.4K]

Answer:

Step-by-step explanation:

We'll just work on solving both so you can see what's involved in solving an absolute value equation. Because an absolute value is a distance, we can have that distance being both to the right on the number line of the number in question or to the left. For example, from 2 on the number line, the numbers that are 5 units away are 7 and -3. Using that logic, we will simplify the equation down so we can set up the 2 basic equations needed to solve for x.

If  3-2|.5x+1.5|=2 then

-2|.5x+1.5|=-1  What you need to remember here is that you cannot distribute into a set of absolute values like you would a set of parenthesis. The -2 needs to be divided away:

|.5x+1.5|=.5

Now we can set up the 2 main equations for this which are

.5x + 1.5 = .5  and .5x + 1.5 = -.5

Knowing that an absolute value will never equal a negative number (because absolute values are distances and distances will NEVER be negative), once we remove the absolute value signs we can in fact state that the expression on the left can be equal to a negative number on the right, like in the second equation above.

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Solving the second one:

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7 0
1 year ago
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True [87]

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We can tell from the data that there is a midpoint between the lowest and highest point of the clock, which is at a height of 9.5 feet.
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The amplitude of variation from the mid-point is 0.5 feet given by (10 - 9) / 2.
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h = 0.5cos(πt/6) + 9.5, option B
5 0
2 years ago
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