Can someone please help me on this!!??

The volume of a larger cone:

[tex]V_l=\dfrac{1}{3}\pi\cdot4.5^2\cdot(3+6)=\dfrac{1}{\not3_1}\pi\cdot20.25\cdot\not9^3=(20.25)(3)\pi=60.25\pi\ cm^3[/tex]

The volume of a smaller cone:

[tex]V_s=\dfrac{1}{3}\pi\cdot3^2\cdot6=\dfrac{1}{\not3_1}\pi\cdot\not3^1\cdot3\cdot6=18\pi\ cm^3[/tex]

The volume of the frustum:

[tex]V=V_l-V_s\\\\V=60.25\pi-18\pi=42.75\pi\ cm^3[/tex]

Answer:

The pole is 6 ft tall

Step-by-step explanation:

We can solve this using ratio's

4ft tall Mary        x ft tall  pole

-----------        =     -------------------

10 ft shadow      15 ft shadow

Using cross products

4 * 15 = 10 x

60 = 10x

Divide by 10

60/10 = 10x/10

6 =x

The pole is 6 ft tall

Answer:

it is 6 feet

Step-by-step explanation:

i dont have much of an explaination except that you have to draw a diagram inorder not tom get confused.

hope it helps.

Answer:

Solutions are  (3, -8) and (5, -10)

Step-by-step explanation:

From the equation x + y + 5 = 0 :-

x = -y - 5

Substitute for x in the other equation:

y = (-y - 5)^2 - 9(-y-5) + 10

y = (y^2 + 10y + 25) + 9y + 45 + 10

y^2 +  18y + 80 = 0

( y + 8)(y + 10) = 0

y  = -8, -10

Substitute these values of y in the equation x + y + 5 = 0:-

x = -8:-

x - 8 + 5 = 0 so x = 8-5 giving.x = 3

x = -10:-

x - 10 + 5 = 0 sox = 10-5 giving x = 5

Answer:

see below  PLEASE GIVE BRAINLIEST

Step-by-step explanation:

1  2  3  4  5  6  7  8  9  10  11  12  13  14  15  

BOLD number are multiples of 4 or 6

4 out of the 15 numbers are a multiple of either 4 or 6,

so the probablilty would be 4/15 or a 26.6% chance.

The probability that the result is a multiple of 6 or a multiple of 4 is 4 /15.

The spinner has 15 equal areas numbered 1 through 15.

If the spinner is spun one time the probability of getting a multiple of 6 or a multiple of 4 can be calculated below;

The numbered side are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15.

multiple of 6 are 6 and 12.

multiple of 4 are 4, 8 and 12

union of the set = 4, 6, 8, 12

number of acceptable value = 4

The probability of getting a multiple of 6 or a multiple of 4 = number of acceptable value / number of possible value

probability of getting a multiple of 6 or a multiple of 4 = 4 / 15 = 4 / 15

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Answer:

f(x) = -8 x + 34

Step-by-step explanation:

First, normalize the equation 8y = x-16 into y = ... form (divide by 8):

y = 1/8 x - 2

So the slope of this line is 1/8. The slope of a perpendicular line is the negative reciprocal, which means you swap numerator and denominator and add a minus sign. So the slope of our line is -8 and our function will look like f(x) = -8x + b

Now all we have to do is find b such that f(x) goes through (5,-6).

So f(5) = -8*5 + b = -6, and solve it for b:

-40 + b = -6 =>

b = 34.

So f(x) = -8x + 34

[tex]\text{Let}\ k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}.\\\\\text{We have}\ 8y=x-16\qquad\text{divide both sides by 8}\\\\y=\dfrac{1}{8}x-2\to m_1=\dfrac{1}{8}.\\\\\text{Let}\ y=mx+b.\ \text{It's perpendicular to given line. Therefore}\ m=-\dfrac{1}{\frac{1}{8}}=-8.\\\\y=-8x+b.\\\\\text{The line passes through point (5, -6)}.\ \text{Put the coordinates of the point}\\\text{to the equation of a line:}[/tex]

[tex]-6=-8(5)+b\\-6=-40+b\qquad\text{add 40 to both sides}\\34=b\to b=34\\\\Answer:\ \boxed{f(x)=-8x+34}[/tex]

Answer:

$22.30

Step-by-step explanation:

To determine how much money Chapman saved from purchasing a gift for his mother, calculate 2/5 of $55.75, which equals $22.30.

To find how much money Chapman saved:

Calculate 2/5 of $55.75: (2/5) x $55.75 = $22.30

Therefore, Chapman saved $22.30

The answer you are looking for is 9/11.

When dividing fractions, you multiply the first value by the inverse of the second value. The inverse is found by simply flipping the numbers of the last fraction. So, the inverse is 9/4. Then, multiply 4/11 and 9/4 to get 36/44. 36/44 simplified (divided by 4/4) is 9/11. Thus making 9/11 the answer.

I hope this helps.

Answer:

9/11

Step-by-step explanation:

Answer:

9/25

Step-by-step explanation:

The answer is 9/25

Answer:

51,400 thats my answer hope it helps!

Answer:

[tex]\frac{1}{216}[/tex]

Step-by-step explanation:

We have been given that three cubes are being rolled and we are required to find the probability of getting 4 on each of the three cubes.

We know the probability of rolling a 4 on one cube will be [tex]\frac{1}{6}[/tex]. Since there are 3 cubes, the probability of rolling 4 in each of the individual cubes will be [tex]\frac{1}{6}[/tex].

But we want 4 to be rolled on all three cubes at once, in order for that to happen, we need to get a four on first cube AND second cube AND third cube. Since there is AND between the events, we will multiplied their probabilities as per counting principle. Thus, the required probability of rolling 4 on each of the three cubes is [tex]\frac{1}{6}\cdot\frac{1}{6}\cdot\frac{1}{6}[/tex] which simplifies to [tex]\frac{1}{216}[/tex].

Answer:

A = 2/5

Step-by-step explanation:

r = sqrt(v) / (pi*h)

10 = sqrt(v) /(pi * h)

Solve for the volume by multiplying by pi * h on each side

10 * pi * h = sqrt(v)

Now square each side

(10*pi* h) ^2 = v

Now we have a second cylinder with a height that is 25 times the height of the other cylinder  but the same volume.  Solving for volume, we will multiply by

r = sqrt(v) / (pi*h)

r = sqrt(v) /(pi *25h)

r* pi * 25h = sqrt(v)

Now square each side

(r*pi*25h) ^2 = (sqrtv) ^2

(r*pi*25h)^2 = v

The problem states the the 2 cylinders have the same volume

(10 * pi * h) ^2 =  ( r * pi * 25h) ^2

Take the square root of each side

10*pi*h = r*pi * 25h

Divide each side by pi and h

10 = 25r

Divide by 25

10/25 =r

2/5 =r

Answer:

10.) y = -5x + 7

12.) y = 3/2x - 8

Step-by-step explanation: Since you have to create a new line that us parallel, the slopes will be equivalent. So the mx value will not change. Now we can plug in the coordinates to find the value of b.

10.)

2 = -5(1) + b.

2 = -5 +b

b = 7

therefore...

y = -5x + 7

12.)

2(-5) = 3(2) + b

-10 = 6 + b

b = -16

therefore...

2y = 3x - 16

simplified:

y = 3/2x - 8

Answer:

72 is 8 times as many as 9

Step-by-step explanation:

72 is the product of 8 groups of nine

72 is 9 times as many as 8 is the answer that completes the statement.

To solve the equation 72 = q × 8, we need to find the value of q.

By dividing both sides by 8, we get:

72/8 = q × 8/8

q = 72/8

q = 9.

This means that 72 is 9 times greater than 8 and to correctly complete the statement, we write: 72 is 9 times as many as 8.

Equivalent fractions are fractions that are equal to each other.

So they might have different denominators

and different numerators but they're

going to be equal fractions.

Answer:

Price of floor seat =$ 17 and

Price of stadium seats = $8.5

Step-by-step explanation:

Let x represents the cost of floor seats and y represents the cost of stadium seats.

Then, from the given condition, we have;

Total cost for selling floor seats =  62x  and the total cost for stadium seats = 120y.

Since, a math club earn $2,080.

⇒ 62x + 120y = 2080                         .....[1]

Also, it is given that the floor seats cost twice as much as Stadium seats.

⇒ x = 2y                                               .....[2]

Substitute this equation [2] in [1] we get;

[tex]62(2y) + 120y = 2080[/tex]

Simplify:

124y + 120y =2080

Combine like terms;

244y =2080

Divide both sides by 144 we get;

[tex]y = \frac{2080}{144} = 8.5[/tex]

⇒y = $8.5

Substitute this in [2] we get x;

x = 2(8.5) = 17

i.e, x = $ 17

Therefore, the price of floor seat is, $ 17 and the price of stadium seats is, $8.5

Answer:

n=2

Step-by-step explanation:

I am assuming that you want to solve this algebraic equation

4n+3 =11

Subtract 3 from both sides

4n+3-3=11-3

4n =8

Divide each side by 4

4n/4 = 8/4

n =2

Answer:

1/12 of the watermelon in each piece

Step-by-step explanation:

The final answer is 1/12.

I hope this helped!

Answer:

The fraction of the watermelon that corresponds to each piece is [tex]\frac{1}{12}[/tex]

Step-by-step explanation:

Caleb has [tex]\frac{1}{3}[/tex] of a watermelon. To know what fraction each portion of watermelon represents after cutting it into 4 equal parts, just divide the portion that Caleb owns ([tex]\frac{1}{3}[/tex]) by the amount of sliced ​​portions (4):

[tex]\frac{\frac{1}{3} }{4}[/tex]

Given that 4 can also be represented by the fraction [tex]\frac{4}{1}[/tex], then:

[tex]\frac{\frac{1}{3} }{\frac{4}{1} }[/tex]

To divide two fractions, the SECOND FRACTION must be reversed, that is, change the denominator to the numerator and change the numerator to the denominator. Then, the two fractions are multiplied.

[tex]\frac{\frac{1}{3} }{\frac{4}{1} } =\frac{1}{3} *\frac{1}{4} =\frac{1}{12}[/tex]

The fraction of the watermelon that corresponds to each piece is [tex]\frac{1}{12}[/tex]

To find out how much longer the record alligator is than the one Taylor saw, we subtract the length of the alligator Taylor saw from the record length. The record alligator is 6 feet and 3/4 feet longer than the alligator Taylor saw.

To find out how much longer the record alligator is than the one Taylor saw, we need to subtract the length of the alligator Taylor saw from the record length.

To do this, we need to convert the mixed numbers to improper fractions. 12 11/12 is equal to 155/12 and 19 1/6 is equal to 115/6.

Subtracting 155/12 from 115/6 gives us (115/6) - (155/12) = (230/12) - (155/12) = 75/12 = 6 3/4.

Therefore, the record alligator is 6 feet and 3/4 feet longer than the alligator Taylor saw.

Answer:

First, you have to get all of the variables on one side of the equation.

x15 on both sides

8 + a = 15+15a/6

x6 on both sides

48 + 6a=15+15a

Subtract 15 on both sides and Subtract 6a on both sides

33=11a

a=3

Step-by-step explanation:

Answer:

2 3/8

Step-by-step explanation:

1 1/4 + 1 1/8

We need to get a common denominator to add the fractions.  The common denominator is 8

1 1/4 *2/2  + 1 1/8

1 2/8 + 1 1/8

2 3/8

Answer:

-10

Step-by-step explanation:

Write out the equation

5n-8=n-48

move like terms to the same side

4n=-40

divide 4n and 4 by 4 to get n by itself.

n=-10

The number is -10.

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

For example, 3x + 5 = 15.

Given,

Eight less than 5 times a number is 48 less than the number

Let the number be x

then statement can be written as

5x - 8 = x - 48

5x - x = - 48 + 8

4x = -40

x = 40/4

x = -10

Hence, -10 is the number.

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Answer: The answer is 60.

Step-by-step explanation: To determine this, we need to square root the number in question. In this case, that’s 3600.

The square root of 36 is 6, so the square root of 3600 is 60, following the rules of zeros.

I hope this helps!

Answer: Let x=length of the longest side of the smaller triangle.

x/20=3/12

x=60/12

x=5

Final answer:

To find the longest side of the similar triangle, multiply the longest side of the original triangle (20) by the scale factor, which is the ratio of the shortest sides (3/12 = 0.25). This results in a longest side of 5 units for the similar triangle.

Explanation:

The question pertains to finding the longest side of a similar triangle given that the shortest side is 3 and the original triangle has sides 12, 15, and 20. To find the answer, we need to calculate the scale factor between the similar triangles. The scale factor is obtained by dividing the shortest side of the new triangle (3) by the shortest side of the original triangle (12), which is ¼ or 0.25.

We then multiply the longest side of the original triangle (20) by the scale factor (0.25) to get the longest side of the similar triangle. Calculating, 20 * 0.25 = 5. Therefore, the longest side of the triangle with the shortest side 3 is 5 units long.

Final answer:

To convert 3 square feet to square centimeters, multiply by the correct conversion factor of 9.29 × 10⁻².

Explanation:

To convert square feet to square centimeters, you need to understand the conversion factor between these two units. Since 1 foot is equal to 30.48 centimeters and area is defined as the product of the two dimensions, you need to square the conversion factor of 30.48 to convert square feet to square centimeters.

So, the correct conversion factor is (30.48 cm/1 ft)².

To convert 3 square feet to square centimeters, you can use the conversion factor as follows:

(3 ft²) × (30.48 cm/1 ft)² = 274.32 cm²

Therefore, the statement is True as multiplying 3 by the correct conversion factor of 9.29 × 10⁻² will indeed give you the value of 274.32 square centimeters.

Answer:

y = 3 and x = -2  PLEASE GIVE BRAINLIEST

Step-by-step explanation:

Solve for y                                                  

4y - 2x = 16

-y + 2x = -7

3y    =  9

y = 9 ÷ 3

y = 3

Input y to find x

2x = 4(3) - 16

2x = 12 - 16

2x = -4

x = -4 ÷ 2

x = -2

Input both x and y to see if it works

2(-2) = 4(3) - 16                                2(-2) - 3 = -7

-4 = 12 -16                                         -4 -3 = -7

-4 = -4                                                 -7 = -7

The solution to the system of equations is [tex]x = -2[/tex] and [tex]y = 3[/tex].

To solve the system of equations given by

Here is a step-by-step guide on how to solve for [tex]x[/tex] and [tex]y[/tex].

Step 1: Simplify the first equation

Start by rearranging the first equation to express it in terms of one variable. We can isolate [tex]y[/tex]:

[tex]2x = 4y - 16[/tex]
[tex]4y = 2x + 16[/tex]
[tex]y = \frac{2x + 16}{4}[/tex]
[tex]y = \frac{x}{2} + 4[/tex]

Step 2: Substitute [tex]y[/tex] in the second equation

Now, we can substitute [tex]y[/tex] in the second equation:

[tex]2x - \left(\frac{x}{2} + 4\right) = -7[/tex]

Step 3: Solve for [tex]x[/tex]

Distributing the negative and simplifying:

[tex]2x - \frac{x}{2} - 4 = -7[/tex]

Multiply every term by 2 to eliminate the fraction:

[tex]4x - x - 8 = -14[/tex]

This simplifies to:

[tex]3x - 8 = -14[/tex]
[tex]3x = -14 + 8[/tex]
[tex]3x = -6[/tex]
[tex]x = -2[/tex]

Step 4: Substitute [tex]x[/tex] back to solve for [tex]y[/tex]

Now substitute [tex]x = -2[/tex] back into the equation for [tex]y[/tex]:

[tex]y = \frac{-2}{2} + 4[/tex]
[tex]y = -1 + 4[/tex]
[tex]y = 3[/tex]

Answer:

3/4

Step-by-step explanation:

- He ate 1/4

- 4-1=3

- 3/4 of the pizza is left

Final answer:

The fraction representing the remaining pizza after Jason ate 1/4 of it is 3/4. We calculate this by subtracting the portion Jason ate (1/4) from the whole (4/4).

Explanation:

If Jason ate 1/4 of the whole pizza for dinner, we can easily calculate the fraction that represents the amount of pizza remaining. To find out the remaining portion of the pizza, we subtract the portion Jason ate from the whole. Since the whole is considered to be 1 (or 4/4 in this case, as there are four quarters in a whole), we subtract 1/4 from 4/4:

Remaining pizza = Whole pizza - Portion eaten by Jason

Remaining pizza = 4/4 - 1/4

Remaining pizza = (4 - 1)/4

Remaining pizza = 3/4

Therefore, the fraction that represents the remaining pizza after Jason has eaten is 3/4.