What percent is 33 of 96?

QUESTION POSTED AT 14/12/2019 - 05:22 PM

Answered by admin AT 14/12/2019 - 05:22 PM


1. We assume, that the number 96 is 100% - because it's the output value of the task. 
2. We assume, that x is the value we are looking for. 
3. If 96 is 100%, so we can write it down as 96=100%. 
4. We know, that x is 33% of the output value, so we can write it down as x=33%. 
5. Now we have two simple equations:
1) 96=100%
2) x=33%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
96/x=100%/33%
Post your answer

Related questions

To find the percent of a discount, ______________. A. find the percent of decrease from the original price to the new price. B. find the percent of increase from the new price to the original price. C. multiply the original price by the new price. D. divide the new price by the original price.

The correct and best answer would be letter B. To find the percent of a discount, you have to find or solve for the percent of increase from the new price to the original price. This is because you usually have the new price being given to you so you compare it with the old price to know the percent discount.

ANSWERED AT 22/01/2020 - 02:23 AM


QUESTION POSTED AT 22/01/2020 - 02:23 AM

Equilateral triangle ABC has a perimeter of 96 millimeters. A perpendicular bisector is drawn from angle A to side at point M. What is the length of ?

Apply heron's formula to get the area of the triangle.
since it is an equilateral triangle, we know that each side is 32mm.
we get the length of the line (h) from area = bh/a

27.7

ANSWERED AT 22/01/2020 - 02:19 AM


QUESTION POSTED AT 22/01/2020 - 02:19 AM

MACRS depreciates automobiles in 6 years using these percents: 20% the first year; 32% the second year; 19.2% the third year; 11.52% the fourth and fifth years; and 5.76% the sixth year. For an automobile that cost $30,000, what is the book value at the end of the third year? (Hint: To start, calculate the annual and accumulated depreciation for the first three years.)

Answer:

The book value at the end of the third year is $8640.

Step-by-step explanation:

Book value at end of year = Original Cost - Accumulated Depreciation

The automobile cost is $30000.

After 1st year, the depreciation will be =0.20\times30000=6000

After 2nd year the depreciation will be = 0.32\times30000=9600 dollars

Similarly after 3rd year the depreciation will be = 0.192\times30000=5760

Now, adding all the depreciation amounts:

6000+9600+5760=21360 dollars

Book Value at end of year = 30000-21360=8640 dollars

Therefore, the book value at the end of the third year is $8640.

ANSWERED AT 22/01/2020 - 01:37 AM


QUESTION POSTED AT 22/01/2020 - 01:37 AM

Which polynomial is prime? 7x2 – 35x + 2x – 10 9x3 + 11x2 + 3x – 33 10x3 – 15x2 + 8x – 12 12x4 + 42x2 + 4x2 + 14

Answer:

Option 2 is correct.

Step-by-step explanation:

Given the polynomials we have to choose the polynomial which is prime.

A polynomial with integer coefficients that cannot be factored into lower degree polynomials are Prime polynomials.

7x^2 - 35x + 2x - 10

7x(x-5)+2(x-5)

(7x+2)(x-5)

can be factored ∴ not a prime polynomial.

9x^3 + 11x^2 + 3x - 33

x^2(9x+11)+3(x-11)

cannot be factored ∴ prime polynomial.

10x^3 - 15x^2 + 8x - 12

5x^2(2x-3)+4(2x-3)

(5x^2+4)(2x-3)

can be factored ∴ not a prime polynomial.

12x^4 + 42x^2 + 4x^2 + 14

6x^2(2x^2+7)+2(2x^2+7)

(6x^2+2)(2x^2+7)

can be factored ∴ not a prime polynomial.

The second polynomial can not be factored into lower degree polynomial therefore, prime polynomial.

ANSWERED AT 22/01/2020 - 01:31 AM


QUESTION POSTED AT 22/01/2020 - 01:31 AM

What is $699.99 in percent?

To convert a decimal to percent, multiply by 100.

699.99 × 100 = 69999 %

ANSWERED AT 22/01/2020 - 01:21 AM


QUESTION POSTED AT 22/01/2020 - 01:21 AM

Write 3/8 as a percent

37.5%

All you do is divide the numerator by the denominator 

ANSWERED AT 22/01/2020 - 01:17 AM


QUESTION POSTED AT 22/01/2020 - 01:17 AM

Bryan estimates the cost of a vacation to be $730. the actual cost of the vacation is $850. find the percent error. round to the nearest whole percent if necessary. is the percent positive or negative? explain.

Bryan's estimated cost of vacation is $120 lesser than the actual cost. To solve for the percent error divide this value (with the sign) by the actual cost and multiply by 100%. This is shown below, 
 
                                 (-120 / 850) x 100% = -14.12%

Thus, the percent error is approximately -14.12%. It is negative because his estimated value is lesser than the actual cost. 

 
                                  

ANSWERED AT 22/01/2020 - 01:15 AM


QUESTION POSTED AT 22/01/2020 - 01:15 AM

Bobby borrowed $500 at 12 percent simple annual interest. He paid back $680 to pay off the loan. How many years did it take Bobby to pay back the loan?

Amount = $680

Principal = $500

Interest = 680 - 500 = 180

Rate = 12% Simple annual interest.

I = PRT

180 = 500*12% * Time

180 = 500 * 0.12 * T

180 / (500*0.12) = T

3 = T

T = 3 years.

It took Bobby 3 years to pay back the loan.  

ANSWERED AT 22/01/2020 - 01:09 AM


QUESTION POSTED AT 22/01/2020 - 01:09 AM

Alexi’s restaurant bill is $58, and he wants to leave a 20 percent tip. Which expression represents the total amount that Alexi needs to pay?

Answer:

The expression represents the total amount that Alexi needs to pay is T= 1.02A , where T is total amount and A is restaurant bill.

Step-by-step explanation:

Given : Alexi’s restaurant bill is $58, and he wants to leave a 20 percent tip.

We have to find the expression represents the total amount that Alexi needs to pay.

Since, Alexi's restaurant bill is $ 58.

Also, she want to leave 20 % tip

So 20 % of her restaurant bill is 20% of 58

\frac{20}{100}\times 58=11.6

Thus, her total amount is 58 + 11.6 = $ 69.6

Alos, in expression it can be represented by

Total Amount to be paid = Amount + 0.02(Amount)

Mathematically, written as

T = A+ 0.20A

T= (1+0.02)A

T= 1.02A

The expression represents the total amount that Alexi needs to pay is T= 1.02A , where T is total amount and A is restaurant bill.

ANSWERED AT 22/01/2020 - 01:09 AM


QUESTION POSTED AT 22/01/2020 - 01:09 AM

Twenty pounds of a salt-water solution contains fifteen percent salt. How much water must be added to weaken the solution to twelve percent salt?

Answer:

the answer is B. 5

Step-by-step explanation:


ANSWERED AT 22/01/2020 - 01:02 AM


QUESTION POSTED AT 22/01/2020 - 01:02 AM

Alejandra can husk 8 ears of corn in 24 minutes. At this rate, how many ears of corn can she husk in 33 minutes?

24 minutes = 8 ears of corn
so in 33 minutes?

(8/24) * 33
(1/3) * 33
11 ears of corn

ANSWERED AT 21/01/2020 - 11:47 PM


QUESTION POSTED AT 21/01/2020 - 11:47 PM

What is the percent increase in between 16 and 20

25 % increase; First find the difference between the two numbers, next divide the number you get by 16 and multiply by 100, You get 1/4, 0.25, or 25%

ANSWERED AT 21/01/2020 - 11:34 PM


QUESTION POSTED AT 21/01/2020 - 11:34 PM

For the following data distribution, find the value that best defines the central tendency of the distribution and characterize the distribution. {23, 29, 12, 14, 27, 23, 23, 18, 23, 1, 7, 18, 43, 24, 28, 17, 32, 33, 38} A) 23, positive skew B) 14, positive skew C) 34, negative skew D) 23, negative skew

Given :

[ 23, 29, 12, 14, 27, 23, 23, 18, 23, 1, 7, 18, 43, 24, 28, 17, 32, 33, 38 ]

Answer :

[ A ] 23, positive skew

[ B ] 14, positive skew

[ C ] 34, negative skew

[ D ] 23, negative skew

ANSWERED AT 21/01/2020 - 11:27 PM


QUESTION POSTED AT 21/01/2020 - 11:27 PM

Solve the triangle. (1 point) A = 33°, a = 19, b = 14

Sine theorem:
a/sin A=b/sin B=c/sin C

Data:
A=33º
a=19
b=14

19/ sin 33º=14 / sin B
sin B=(sin 33º *14) / 19
sin B=0.41312...;
B=arcsin 0.41312...=23.66º

A+B+C=180º
33º+23.66º+C=180º
C=180º-33º-23.66º
C=123.34º

a/Sin A=c/sin C
19 / sin 33º=c / sin 123.34º
c=(19 * sin 123.34º) / sin 33º
c=29.14

Answer: a=19; b=14, c=29.14; A=33º; B=23.66º; C=123.34º

ANSWERED AT 21/01/2020 - 07:55 PM


QUESTION POSTED AT 21/01/2020 - 07:55 PM

Consider the following data set:. . 5, 33, 25, 55, 96, 75, 23, 69, 37, 17, 12.. . A random sample of size 4 is drawn from the data set. It yields the following numbers: 5, 33, 17, and 23.. . What is the population proportion greater than the number 20?

Answer:

The population proportion greater than the number 20 = 72.7%

Step-by-step explanation:

To find : The proportion of the population that is greater than 20.  

Now, the data set of the population has been given explicitly, so the sample is irrelevant.

The data set is given to be :  5, 33, 25, 55, 96, 75, 23, 69, 37, 17, 12

Among the given data set of 11 , The numbers which are greater than 20 are :

{33, 25, 55, 96, 75, 23, 69, 37}  

So, The no. of numbers which are greater than 20 = 8

\text{Thus, the population proportion is = }\frac{8}{11} = 72.7\%

Hence, The population proportion greater than the number 20 = 72.7%

ANSWERED AT 21/01/2020 - 07:35 PM


QUESTION POSTED AT 21/01/2020 - 07:35 PM

In a group of 55 people, 33 are coffee drinkers and 12 are tea drinkers. Assuming that no one in this group drinks both tea and coffee, what is the probability that a person picked at random from the group does not drink tea or coffee?

Since the whole set is composed of a total of 55 people, with 45 people being drinks of either coffer or tea, then the remaining people not included in the 45 would be the non-drinkers. So 55-45, meaning there are 10 people who drink neither tea nor coffee. To obtain the probability:

10/55 = 2/11 = 0.182

Therefore, the probability of a person being picked at random does not drink either coffee or tea is 0.182.

ANSWERED AT 21/01/2020 - 07:35 PM


QUESTION POSTED AT 21/01/2020 - 07:35 PM

The temperature dropped from 75 degrees to 50 degrees. What was the percent decrease in the temperature?. . . 33%. 50%. 66%

Determine the decrease in temperature by subtracting 50 from 75. The temperature decrease is equal to 25 degrees. To solve for the percent decrease, divide the decrease in temperature by the initial temperature and multiply by 100%. This is shown below,
 
                                    (25 / 75) x 100% = 33.33%

Thus, the answer is approximately 33%.


ANSWERED AT 21/01/2020 - 10:36 AM


QUESTION POSTED AT 21/01/2020 - 10:36 AM

A rectangle has an area of 96 sq ft if the width of the yard is 4 ft less than the length, what is the perimeter in ft of the yard?

The area of a rectangle is obtained through the equation,
  
                                  A = L x W 

The width of the yard is 4 ft less than the length and may be expressed as L - 4. Length may be solved through the following steps,
   
                               A = (L)(L-4)   ; 96 = L(L - 4)    ; L = 12 ft

The length and width are 12 ft and 8 ft, respectively. Perimeter may be solved through the equation,
 
                                           P = 2 x (L + W)

Substituting the values of L and W
 
                                           P = 2 x ( 12 ft + 8 ft) = 40 ft

Therefore, the perimeter of the yard is 40 ft. 




ANSWERED AT 21/01/2020 - 10:28 AM


QUESTION POSTED AT 21/01/2020 - 10:28 AM

Marian's new balance on her credit card statement is $148.73. If her minimum payment is 12 percent of the balance, what must she pay?

Answer:

17.85

Step-by-step explanation:

ANSWERED AT 21/01/2020 - 10:21 AM


QUESTION POSTED AT 21/01/2020 - 10:21 AM

Fill in the correct answer in the space provided. An example of a fraction being renamed to a percent: 1/4 = 25% and 12/17 = 70 10/17% Use the table to calculate the percent of fat calories in a half cup of hashbrowns. Round to the nearest whole percent.

I think it is 9% because 10.8 fat grams/119 calories is equal to .09075 and if you put that into a percent it is 9%

ANSWERED AT 21/01/2020 - 10:19 AM


QUESTION POSTED AT 21/01/2020 - 10:19 AM

Can someone please explain why 33 and 35 are these answers?

For #32,
P=2L+2W
Subtract 2W from both sides, and swap left and right
2L = P-2W
Divide by 2
2L/2=(P-2W)/2
L = P/2 - 2W/2
L=P/2 - W

For #35
Most of the expenses are in fractions (of the original amount, A), so they can be added:
A/4 + A/5 + 2A/5 + 750  = A
add the fractions, with a common denominator of 20,
5A/20 + 4A/20 + 8A/20 +750  = A
(5A+4A+8A)/20 +750 = A
17A/20 + 750 = A

Now subtract 17A/20 from both sides and swap left and right
A - 17A/20 = 750
(3/20)A = 750

Multiply both sides by 20/3  (to make one unit of A on the left)

(3/20)*(20/3) A = 750*20/3
A =250*20=5000

ANSWERED AT 21/01/2020 - 09:27 AM


QUESTION POSTED AT 21/01/2020 - 09:27 AM

A lab technician needs to combine 30% alcohol solution with 35% alcohol solution to make 5l of 33% alcohol solution . how many luters of the 30% solutio and of the 35% solution will be used

To answer the problem, use the material and component balance. Let x and y be the volume of 30% and 35% solution, respectively. The balances are shown below,

Overall Material Balance:       x + y = 5
Component Balance:             0.30x + 0.35y = 5 x 0.33

Solving simultaneously for the values of the variables gives x = 2 and y = 3.

Thus, the technician needs 2L of 30% alcohol and 3L of 35% alcohol. 

ANSWERED AT 21/01/2020 - 09:07 AM


QUESTION POSTED AT 21/01/2020 - 09:07 AM

Your doctor told you to eat 25 grams of fiber each day. You had 66 grams of fiber for breakfast. What percent of the 25 grams of fiber have you eaten so far?

To answer the question, divide the amount of fiber taken during breakfast by the total allowable amount then multiply by 100%. This gives us,

                                 (66 / 25) x 100% = 264 %

Thus, the answer is 264%. The answer clearly shows that the fiber taken so far is much more than the total allowable fiber intake. 

ANSWERED AT 21/01/2020 - 08:50 AM


QUESTION POSTED AT 21/01/2020 - 08:50 AM

Your doctor told you to eat 25 grams of fiber each day. You had 44 grams of fiber for breakfast. What percent of the 25 grams of fiber have you eaten so far?

To determine the percent fiber that one had consumed so far, divide the amount of fiber taken during breakfast by the allowable fiber intake each day per doctor's advice. From the given above, divide 44 grams by 25 grams and multiply with 100%. This is mathematically expressed as, 

                               % fiber taken = (44 / 25) x 100% = 176%

The answer is 176%. Thus, one has taken more than allowable fiber intake. 

ANSWERED AT 21/01/2020 - 08:46 AM


QUESTION POSTED AT 21/01/2020 - 08:46 AM

Your doctor told you to eat 25 grams of fiber each day. You had 4 grams of fiber for breakfast. What percent of the 25 grams of fiber have you eaten so far?

To answer the question, divide the fiber intake during breakfast by the total fiber intake prescribed by the doctor and multiply with 100%. With the given above, 

                                              (4 / 25) x 100% = 16%

Thus the fiber intake during breakfast constitutes 16% of the total fiber intake. 

ANSWERED AT 21/01/2020 - 08:41 AM


QUESTION POSTED AT 21/01/2020 - 08:41 AM