Find the area of a circle with a radius of 7m. Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.

Answer:

156

Step-by-step explanation:

Let measure of angle C = x.

Then, the measure of angle B is 14x.

14x + x = 180

15x = 180

x = 12

14x = 14(12) = 168

168 - 12 = 156

Answer: 2x + 4y = $40

Step-by-step explanation:

Answer:

0.75 or 6/8

Step-by-step explanation:

This is probably a late answer but I thought I would go ahead and respond.

When you have two data sets with the same variance, the ratio of the means to MAD is a way to test for the pooled variance of the two data sets

Given Data Set 1 with mean M1 and mean absolute deviation with MAD1 and another data set 2 with mean M2 and MAD2 the means to MAD ratio is given by the ratio of the absolute difference in means to the largest of the MADs

Here M1 = 84 and M2 = 78 so the absolute difference is |84-78| = 6

The larger MAD is MAD2 = 8

So the ratio is 6/8 = 3/4 = 0.75

Answer: 0.7 I think

Step-by-step explanation:

The percent of error of Jin's mother's estimate is 4,9% (4,9 percent)

The Percent of error of Jin's mother's estimate can be calculated as follows ?

The first step is to convert a half gallon to ounces

1 gallon = 153,722 ounces

= [tex]\frac{1}{2}[/tex] × 153,722

= 76,861 ounces

The next step is calculate the error between Jin's mother's estimate (76,861 ounces) and the actual amount of fruit punch in the container (72 ounces)

The error = 76,861 - 72

= 4,861

Third step is to round the calculated the percent error to the nearest tenth.

4,861 ÷ 100 = 4,861%

The final step is to round it to the nearest tenth by round the second digit behind the coma which has value more than 5 to the higher number of the first digit behind the coma.

4,861% = 4,9%

Hence, the percent error of Jin's mother's estimate is 4,9% (4,9 percent)

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Answer:90

Step-by-step explanation: If you do 275 divided by 3 it equals 90

1st divide

9/12= 0.75

21/24=0.875

therefore 21/24 is a greater fraction

Answer:

2051920

Step-by-step explanation:

Alright look what you want to do is first see the letters it says "HE" which means you count from A to Z so A1 B2 C3 D4 E5 F6 G7 H8 I9 J10 K11 L12 M13 N14 O15 P16 Q17 R18 S19 T20 U21 V22 W23 X24 Y25 Z26 so you would use that to change letter to a number. so HE is 85 SET is 19520 THE is 2085 and TEST would be 2051920

so
85
+19520
2085
----------
2051920

Sorry for over complicating it

Using simple mathematical operations, the value of TEST is 20,51,920.

So, the value of the TEST will be:

Then,

Now,

Therefore, using simple mathematical operations, the value of TEST is 20,51,920.

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Answer: 90 seconds or 1.5 minutes

Step-by-step explanation: 2 minutes(120 seconds) divided by 4 edges equals 30 seconds per edge. To get from 1 corner to the diagonally opposed opposite corner the fly would walk on 3 edges, so it would take 90 seconds

The time taken to cross from one corner to another diagonally is 90 seconds or 1.5 minutes.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a fly can walk around a cubical block in two minutes.

The time taken to cover all the one edge is,

T = 120 / 4

T = 30 seconds

To get from 1 corner to the diagonally opposed opposite corner the fly would walk on 3 edges, so it would take 90 seconds. Mathematically written as,

To = 3 x 30

To = 90 seconds

To = 1.5 minutes

Therefore, the time taken to cross from one corner to another diagonally is 90 seconds or 1.5 minutes.

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Answer: 19.8

Step-by-step explanation: distribute -3.3 into -6 by multiplying them together

Answer:

  (x, y) = (-3, -6)

Step-by-step explanation:

You want the solution to the system of equations 6 = -4x +y, -5x -y = -21 using the substitution method.

Adding 4x to the first equation gives an expression for y:

  6 +4x = y

This can be substituted into the second equation:

  -5x -(6 +4x) = 21

  -9x -6 = 21 . . . . . simplify

  -9x = 27 . . . . . . . add 6

  x = -3 . . . . . . . . . divide by -9

  6 +4(-3) = y . . . . . . . find y using the expression for y

  6 -12 = -6 = y

The solution is (x, y) = (-3, -6).

Answer: 2 1/6

Step-by-step explanation: First, convert 10 5/6 into a mixed number: 65/6, then divide by 5/1.

65/5=13

6/1=6

You then have 13/6.

Convert it to a mixed number: 2 1/6

Answer:

Step-by-step explanation:

1=2 so 12

Answer:

5.4

Step-by-step explanation:

Conversion a mixed number 3 2/

5

to a improper fraction: 3 2/5 = 3 2/

5

= 3 · 5 + 2/

5

= 15 + 2/

5

= 17/

5

To find a new numerator:

a) Multiply the whole number 3 by the denominator 5. Whole number 3 equally 3 * 5/

5

= 15/

5

b) Add the answer from previous step 15 to the numerator 2. New numerator is 15 + 2 = 17

c) Write a previous answer (new numerator 17) over the denominator 5.

Three and two fifths is seventeen fifths

Conversion a mixed number 5 1/

4

to a improper fraction: 5 1/4 = 5 1/

4

= 5 · 4 + 1/

4

= 20 + 1/

4

= 21/

4

To find a new numerator:

a) Multiply the whole number 5 by the denominator 4. Whole number 5 equally 5 * 4/

4

= 20/

4

b) Add the answer from previous step 20 to the numerator 1. New numerator is 20 + 1 = 21

c) Write a previous answer (new numerator 21) over the denominator 4.

Five and one quarter is twenty-one quarters

Add: 17/

5

+ 21/

4

= 17 · 4/

5 · 4

+ 21 · 5/

4 · 5

= 68/

20

+ 105/

20

= 68 + 105/

20

= 173/

20

It is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions. The common denominator you can calculate as the least common multiple of both denominators - LCM(5, 4) = 20. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 4 = 20. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - seventeen fifths plus twenty-one quarters is one hundred seventy-three twentieths.

Answer:

Decimal: 5.4
Fraction: 5 2/5 or 27/5

Step-by-step explanation:

Decimal:

5 1/4 = 5.25

-3 2/5 = -3.4
5.25 + 3.55 - 3.4 (Simplified)
= 5.4

Fraction:

-3.55 = -71/20 or -3 11/20

5 1/4 + 3 11/20 - 3 2/5 (Simplified)

= 5 2/5

Answer: the speed of the current is 5 miles an hour

Step-by-step explanation:

9-4=5

Answer:

The amount of dough used for the pepperoni will be twice that of the cheese or 2 times the amount of dough.

Step-by-step explanation:

Answer: (8,5) and (16,10)

Step-by-step explanation:

The number of questions per minute is 0.625. To find the points, multiply 0.625 by the x-values of each point, and if it corresponds with any of the y-values you see, that'll be the points you choose.

Answer:

Step-by-step explanation:

(8,5)  (16,10)

Answer:

$50

Step-by-step explanation:

75(3)= 225

225-175= 50

Your budget is $225 and you exceeded it by $50 so you need atleast $50 dollars more.

Answer:

20 bags

Step-by-step explanation:

they should by 20 bags because 6 x 32 will equal how many lemons total you need. then you divide that number by 10.

Answer:

He should buy 20 bags of lemons.

Step-by-step explanation:

Okay, so the first step will be to see how many lemons we first need. We do this by multiplying the 32 people and the 6 lemons:

32 x 6 = 192 lemons

The next step is to find out how many bags we need. So, we know we have 192 lemons and each bag of lemons contain 10, so we need to divide 192 by 10.

192 divided by 10 = 19.2

Now, 19.2 isn't the answer because it is not a whole number. We can't buy a fraction of lemons. So, we need to buy 1 more extra bag to be able to have all 32 people be able to have some lemonade:

19 + 1 = 20 bags of lemons.

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Answer:

19.2

Step-by-step explanation:

[24 + 1.5(16)] / 2.5 = 19.2

Or

[24 - 1.5(16)] / 2.5 = 0

Answer:19.2

Step-by-step explanation:

Answer:

There should be 20 questions

Step-by-step explanation:

60 divided by 12 is 5, which means that each question is 5 percent.

100% is all the questions; you need 40% to get to 100. 40 divided by 5, is 8. So 12 + 8 = 20 questions.

The set of points that represent one side of the given square is (C) (−2, −2) and (−8, −2).

So, in the given figure of the square on the graph:

We can easily tell that the coordinates are:

Therefore, the set of points that represent one side of the given square is (C) (−2, −2) and (−8, −2).

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Correct question:

Which set of points could represent one of the side lengths of a square that is congruent to the one shown on the coordinate plane?

A) (−7, −8) and (−7, 2)

B) (−3, −2) and (−3, −8)

C) (−2, −2) and (−8, −2)

D) (−3, −4) and (−6, −4)

Answer:

make sure they have the same denominator

Answer:

x=24

Step-by-step explanation:

a perimeter is made up of a length and width, obviously, so you can write that out algebraically as 2L+2W=P. Now, since the length is 6ft greater than 2 times the width, it can be written as 2W+6. If we plug our new L value in now, we would make the equation 2(2W+6)+2W=P. From here on out, you just gotta plug and chug.

2(2W+6)+2W=P

2(2W+6)+2W=384

4W+12+2W=384

6W+12=384

6W=372

W=62

Answer:

2 YEAR AND 9 MONTHS

Step-by-step explanation:

solution,

given,

principle [p]=40.54

rate [r]=0.9

interest=1.09

time[t]=?

now,

t=I*100/P*R

109/40.54*0.9

109/36.48

=2.9