What is 4 1/5 + 8 2/7 equal.

Answers

Answer 1

Answer: The answer is 123/12

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The arc corresponding to a central angle of 125 degrees in a circle of radius 10 feet measures _____ feet. Round your answer to two decimal places.

Answers

Answer:

$21.82\ ft$

Step-by-step explanation:

we know that

The circumference of a complete circle is equal to

$C=2\pi r$

In this problem we have

$r=10\ ft$

substitute

$C=2\pi (10)=20 \pi\ ft$

Remember that

An angle of $360\°$ subtends the arc length of a complete circle

by proportion

Find the arc length for an angle of $125\°$

$(20 \pi)/(360)(feet)/(degrees)=(x)/(125)(feet)/(degrees)\n \nx=125*(20\pi )/360\n \nx=21.82\ ft$

$(Angle)/(360)$ x $2 \pi r$

$(125)/(360)$ x $2 \pi (10)$ = $21.82$

Answer: The Arc measures $21.82 feet$

Please help me with number 5

Answers

287/5 = 57.4

The minimum stacks he will make is 57

Hope this helps

55% of what number is 77?

Answers

Set up an equation
Let the number be x.
55% of x = 77
"of" means multiply, so
55% * x = 77
55% is the same as 0.55 (% means divide by 100).
0.55x = 77
x = 140

If mVQ=(y+7), mQR=(x+11), mRS=(3y),and mST=65,findthevaluesofxandy

Answers

Answer:

The values of x and y are x = 25 and y = 18

Step-by-step explanation:

The measure of an arc is equal to the measure of the central angle subtended by it

In circle W

∵ W is the center of the circle

∵ m∠QWS = 90°

∵ ∠QWS is subtended by arc QS

- Use the rule above

∴ m∠QWS = m arc QS

∴ m arc QS = 90°

∵ m arc QS = m arc QR + m arc RS

∵ m arc QR = (x + 11)°

∵ m arc RS = (3y)°

- Add them and equate the answer by 90

∴ (x + 11) + (3y) = 90

- Subtract 11 from both sides

∴ x + 3y = 79 ⇒ (1)

∵ VT passes through W

∴ VT is a diameter in circle W

- Diameter divides the circle into two equal arcs the measure

of its arc is 180° because the measure of the circle is 360°

∴ m arc VQRST is 180°

∵ m arc QRS = 90°

∵ m arc VQRST = m arc VQ + m arc QRS + m arc ST

- Substitute the measures of arc VQRST and QRS

∴ 180 = m arc VQ + 90 + m arc ST

- Subtract 90 from both sides

∴ 90 = m arc VQ + m arc ST

∵ m arc VQ = (y + 7)°

∵ m arc ST = 65°

∴ 90 = (y + 7) + 65

- Add like terms in the right hand side

∴ 90 = y + 72

- Subtract 72 from both sides

∴ 18 = y

Substitute the value of y in equation (1) to find x

∵ x + 3(18) = 79

∴ x + 54 = 79

- Subtract 54 from both sides

∴ x = 25

The values of x and y are x = 25 and y = 18

The product of 9 plus a number decreased by 7

Answers

9+n-7 is the algebraic expression

The algebraic expression is 9+n-7.

9 = number

n = variable

7 = number

The grocery store sells a 25-ounce container of lemonade mix for $2.00. The wholesale club sells a 75 ounce container of the same lemonade mix for $6.75.a) Find the unit price for the lemonade mix at the grocery store.
b) Find the unit price for the lemonade mix at the whole sales club.
c) Where should you buy the lemonade if you want a better deal? Explain.

PLEASE HELP!!!!!!!!!!!!!!!CONFUSED!!!

Answers

a) 2 ÷ 25 = $0.08

b) 6.75 ÷ 75 = $0.09

c) The grocery store club would be the better buy since each ounce is for $0.08, while in the whole sales club each ounce is for $0.09.

Hope I helped:P

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Thirteen out of twenty-one people surveyed prefer fresh fruit over canned fruit. What percent of people prefer fresh fruit?