A cone has a volume of 769.3 cubic inches and a radius of 7 inches. What is its height?

Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answer:

B. 12/33

Step-by-step explanation:

Since there are 12 bluebonnets and 30 seeds in total, the ratio will be 12:33.

Answer:

Step-by-step explanation:

First you have to see how many seeds will be in total. There are 33 seeds in total and there are 12 bluebonnet seeds. I believe it would be 12/33

Answer:

okay :)

Step-by-step explanation:

Answer:

13

step-by-step explanation:

divide the cost of the total of sodas you bought by the cost of one soda, for example:

$24.57 divided by $1.89 is 13 which means you bought 13 sod

Step-by-step explanation:

Answer:

a. (10/40) * (9/39)

Step-by-step explanation:

Since, the total number of white box = 10,

Red box = 10,

Green box = 10,

And, Blue box = 10,

Thus, the total number of boxes = 10 + 10 + 10 + 10 = 40

The probability of receiving white box by first winner =  White box / Total box = 10/40

Since, the replacing is not allowed ( Because, here boxes are allotted )

Thus, the remaining white box = 10 - 1 = 9,

And, the remaining total boxes = 40 - 1 = 39,

Thus, the probability of receiving white box by second winner = Remaining white box / Remaining total box = 9/39

Hence, the probability of the first winner receiving a white box and the second winner also receiving a box of the same color = 10/40 * 9/39

Which is required expression.  

Answer:

x=-46/5

Step-by-step explanation:

1. subtract either 5/6 or add 3 for each side.

2. combine terms

3. x=-46/5

Answer:

32

Step-by-step explanation:

64/2=32

Answer:

[tex]\text{Apple juice needed: }40\:\mathrm{oz},\\\text{Cranberry juice needed: }24\:\mathrm{oz}[/tex]

Step-by-step explanation:

Let [tex]a[/tex] be the amount of apple juice needed, in ounces. Let [tex]c[/tex] be the amount of cranberry juice needed, in ounces. We can set up the following system of equations:

[tex]\begin{cases}a=\frac{5}{3}c, \\a+c=64\end{cases}[/tex]

Solving, we get:

[tex]\frac{5}{3}c+c=64,\\\\\frac{8}{3}c=64,\\\\c=\frac{64\cdot 3}{8}=\boxed{24\:\mathrm{oz}}[/tex]

[tex]a=\frac{5}{3}c,\\\\a=\frac{5}{3}(24),\\\\a=\boxed{40\:\mathrm{oz}}[/tex]

Answer:

Mean

Step-by-step explanation:

The mean is usually used when the dot plots, or histograms, are symmetrical and have no outliers.

Answer:

27

Step-by-step explanation:

You add 63 and 90 (90 being the right angle) and then subtract that from 180 which is the sum of all three angles and you get 27.

Step-by-step explanation:

2×2.5x+2×8=11

5x+16=11

5x=11-16

5x=-5

x=-1

Answer:

x = -1

Step-by-step explanation:

2(2.5x + 8) = 11

Divide both sides by

2.5x + 8 = 5.5

Subtract 8 from both sides

2.5x = -2.5

Divide both sides by 2.5

x = -1

Answer:

17² ft

Step-by-step explanation:

split it into two shapes.

then multiply each shape then add both shapes together

( make sure you subtract the bigger number like 5 from 3)

Answer:

150 or 15^1

Step-by-step explanation:

Answer:

A. 48

B. 24

C. C

Step-by-step explanation:

To divide up whole numbers by fractions, you simply need to just multiply the whole number by the reciprocal of the fraction. in other words, flip the fraction.

Ex.

12 ÷ 1/4

=

12 x 4

Ex. 2

12 ÷ 1/2

=

12 x 2

Answer:

divided all numbers by the hours they worked equals 18 dollars 50 cents per each worker then 6 hrs to get 100 because its shown in diagram as worker gets 111 in 6 hrs this is a logical way to determine because they all make the same amount

Answer:

RentNSave is 0.05x+2.5 more

Step-by-step explanation:

Answer: 12?????? i dont know what the question is saying bc ur took a picture of something too close maybe get the whole question?

Step-by-step explanation:

Part A

y varies directly with x, so we know that y = kx for some constant k. Why the letter 'c' isn't used as a constant, instead of k, I'm not entirely sure.

We're told that x = 0.5 and y = 36. Let's use those values to find k

y = kx

36 = k*0.5

36/0.5 = k

72 = k

k = 72

The equation y = kx updates to y = 72x

As a check, plug x = 0.5 in to get,

y = 72x

y = 72*0.5

y = 36

which helps show that we have the correct equation.

===============================================================

Part B

If y = 1/3, then,

y = 72x

1/3 = 72x

72x = 1/3

x = (1/3)*(1/72)

x = (1*1)/(3*72)

x = 1/216

Note how I multiplied both sides by 1/72, which is the same as dividing both sides by 72.

Step-by-step explanation:

Reflect of x-axis:

A. (1, -3)

B. (-2, 2)

C. (-4, -5)

D. (2, 5)

Reflect on the y-axis:

A. (-1, 3)

B. (2, -2)

C. (4, 5)

D. (-2, -5)

Reflect on Both y and x axis:

1. x: (-12, -13) y: (12, 13)

2. x: (4, 9) y: (-4, -9)

3. x: (-10, 8) y: (10, -8)

Step-by-step explanation:

All numbers belong to the set of numbers known as the real number system. The real number system consists of

every number you have ever dealt with since you were old enough to count. The numbers in the real number system

are divided into two main groups. One group is called the rational numbers and the other is called the irrational

numbers. The set of irrational numbers consists of all numbers that are not rational. This set of irrational numbers

includes those numbers that cannot be written as the ratio of two integers, non-remediate numbers.

and decimals that do not have a repeating pattern of digits. For example, pi(π),

√

2,−2.345876921... are irrational

numbers.

The set of rational numbers includes natural numbers, whole numbers, integers, numbers that can be expressed as

the ratio of two integers, a decimal number that terminates, and decimal numbers that have a repeating pattern of digits.

The natural numbers are the set of positive integers. For example, 1, 2, 3. . . are all natural numbers. The whole

numbers are the natural numbers and zero. For example, 0, 1, 2, 3. . . are all whole numbers. The integers are

the whole numbers and their opposites. For example, -2, -1, 0, 1, 2. . . are all integers. A rational number is any

number that can be expressed in the form of a

b where b 6= 0. When a rational number is expressed as a decimal, it

decimal will terminate (end) or For example, 1

2

,

√

81,−7.456 545 654 are

all rational numbers.

When you classify numbers remember that they can often belong to more than one set of numbers. If you think of

the number 3, you can call it a natural number, a whole number, an integer and a rational number.

The following table may help you to better understand the real number system.

Answer:

In lowest terms, there is a 1/3 probability of Jason pulling out a baseball card.

Step-by-step explanation:

There are a total of 6 cards. 4/6 of them are football and wrestling which results in 2 baseball cards. So the probability is 2/6 but since the question wants it in lowest terms, you would have to simplfy 2/6. Divide the top by 2 and the bottom by 2 which gets you 1/3.

Answer: 16

Explanation:

(2+6)÷ 2 + 4 × 3

8÷ 2 + 4 × 3

4 + 4 × 3

4 + 12

16

Multiply the top number of the fraction by the whole number and then place that over the lower number of the fraction. Then you can see if the new fraction can be reduced or rewritten as a proper fraction.

Example:

1/2 x 3 would be (1 x3) / 2 = 3/2 which can be rewritten as 1 1/2

Example: [tex]\frac{2}{5}*10=\frac{2}{5}*\frac{10}{1}=\frac{20}{5}=4[/tex]

Answer:

We can see that a coin was flipped 340 times. Heads was flipped 161. This gives us the fraction 161/340.

Now we divide.

161/340≈0.47≈47%

Our answer is B) 47%.

Step-by-step explanation:

Answer:

8/16 or 1/2 or 50 percent.

Step-by-step explanation:

8 out of 16 dogs are dachshunds so it will be 8/16.

Answer: The answer is 14

Step-by-step explanation: So, for every 5 books she gets, she gets two free. Here is a chart

5 books bought=2 free books

10 books bough=4 free books

15 books bought=6 free books

20 books bought=8 free books

25 books bought=10 free books

30 books bought=12 free books

35 books bought=14 free books

Every five books bought equals two free books, so if she buys 35 she would get 14, so 49 books in all. hope this helps :)