# What percent is 33 of 96?

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

QUESTION POSTED 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%

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

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

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

Okay i got 12.5% not 100% tho

ANSWERED AT 22/01/2020 - 02:11 AM

QUESTION POSTED AT 22/01/2020 - 02:11 AM

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

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

The automobile cost is $30000.

After 1st year, the depreciation will be =

After 2nd year the depreciation will be = dollars

Similarly after 3rd year the depreciation will be =

Now, adding all the depreciation amounts:

dollars

**Book Value at end of year = 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

**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.**

⇒

⇒

can be factored ∴ **not a prime polynomial.**

⇒

cannot be factored ∴ ** prime polynomial.**

⇒

⇒

can be factored ∴ **not a prime polynomial.**

⇒

⇒

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

**Answer:**

13.44

**Step-by-step explanation:**

Its simple math..

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

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

To convert a decimal to percent, multiply by 100.

699.99 × 100 = 69999 %

699.99 × 100 = 69999 %

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

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

37.5%

All you do is divide the numerator by the denominator

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'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.

(-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

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.

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

**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

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

**Answer:**

0.4

**Step-by-step explanation:**

ANSWERED AT 22/01/2020 - 01:05 AM

QUESTION POSTED AT 22/01/2020 - 01:05 AM

**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

24 minutes = 8 ears of corn

so in 33 minutes?

(8/24) * 33

(1/3) * 33

11 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

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

**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

**[ D ]** 23, negative skew

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

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

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**

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

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

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

**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

**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

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.

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

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%.

(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

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.

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

**Answer: **

**17.85**

**Step-by-step explanation:**

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

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

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

Use the formula for the conditional probability:

Consider such events

A - a senior takes the bus to school every day;

B - a senior has a driver’s license,

then

,

and

In percent this is nearly 17%.

**Answer:** correct choice is B.

ANSWERED AT 21/01/2020 - 09:29 AM

QUESTION POSTED AT 21/01/2020 - 09:29 AM

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

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

120 - 100 = 20

20/120 = 16.666666

Round up to 17

17%

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

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

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.

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

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.

(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

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.

% 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

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.

(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