A circle has an area of 121π in2. Which of the following is the circumference of the circle in terms of pi (π)?

to convert fraction to percent, multiply the fraction with 100%. Therefore, the percent equivalent of 3/4 is

3/4*100%=75%

Thus, 3/4is equal to 75%.

To form an equation from the word problem, first break the given statement into smaller statements.

First, we are given the width of the rectangle as x. We are told, the length is two times width. Mathematically, this means

Length=2*width=2*x=2x

Now, the length is 6 less than 2 times width of the rectangle. Thus, the length of rectangle in terms of width becomes:

Length =2x-6

Thus, the length of the rectangle is 2x-6.

The interconversion of yards to feet utilizes the relationship 1 yard =3 feet. Then, 9 yards to ft becomes

                                        t

There, 9 yards is equal to 27 ft.

to find the average time the athlete runs in 1 mile, find total time divided by total distance covered in the two runs.

Total distance=5+3=8 miles

Total time=25+15=40 minutes

We now know that the athlete runs 8 miles in 40 minutes, so the time the athlete will run in 1 mile will be:  

In 5 minutes, the athlete runs 1 mile.

Here we need to find the actual values of the additions and see the trend the student will use to estimate the given problem. The exact sum is as follows

35+192=227

258+350=608

947+1032=1979

From the above calculations, it is evident that the student rounds up or down the ones place values. So, in the problem we need to approximate 694+7618.

694+7618=8312

We can approximate 8312 based on the provided choices is 8310.

Let's calculate the number of each color of gumball:

• Red: 20% of 120 → 0.2×120=24
• Orange: 30% of 120 → 0.3×120=36
• Yellow: 5% of 120 → 0.05×120=6
• Green: 10% of 120 → 0.1×120=12
• Blue: The remaining percentage: 100%−(20%+30%+5%+10%) = 100%−65% =35%
• So, 0.35×120=42 blue gumballs.

Now, we find how many more blue gumballs there are than yellow:

42−6=36

From the given estimations, we can find the exact sum after adding the given numbers and see the trend the student utilizes to find their estimates. The actual sum is as follows

26+180=206

115+391=506

497+2024=2521

From the above evaluation, the students round the exact sum to the nearest tens. So, in the problem we need to approximate 545+7501.

545+7501=8046

The exact sum is 8046 and the approximate value after rounding to the nearest tens is 8050.

We need to find how many mL are in 5.5 teaspoons. We are told that 1 teaspoon is about 4.93 mL, which we interpret as follows:

Or

Since we are looking for mL, we use the second option.

Thus, 5.5 teaspoons can hold approximately 27 mL.

: we are needed to find the portion of burger the two other friends share between themselves. A whole burger is 1, and we know that,

One friend=1/4 of 1=1/4*1=1/4

Remaining amount=1-1/4=4/4-1/4=3/4

Thus, ¾ of burger is left for two friends to share among themselves. Then, each friend will get

So, the other two friends will each get 3/8 of the burger.

 we are to find the selling price of the sweater from the marked price and the discount. The marked price is given as

Discount=mark off rate*original price

Discount=15%*$78

Convert 15% into a fraction, which become 15/100=0.15. Then

Discount=0.15*$78=$11.70

The selling price of the sweater will be the original price less the discount or mark off value. Then,

Thus, the approximate selling price of the sweater is $66.