A cone and cylinder have the same height and their bases are congruent circles. If the volume of the cylinder is 120 cubic inches, what is the volume of the cone?

Answer:

5040

Step-by-step explanation:

Given

Digits: 0 - 9

Required

Number of combinations of 4 digits where no repetition is allowed

First, we need to count the number of digits

[tex]Number = 10[/tex]

Then, we perform the following analysis.

The first space can contain any of the 10 digits;

The second space can contain any of the remaining 9 digits;

The third space can contain any of the remaining 8 digits;

The fourth space can contain any of the 7 digits;

Hence; the umber of combination is

[tex]Number = 10 * 9 * 8 * 7[/tex]

[tex]Number = 5040[/tex]

Hence, there are 5040 possible combinations

Answer:

[tex]1\frac{19}{30}[/tex]

Step-by-step explanation:

To operate between mixed numbers is always better to write then in fraction form first (as improper fractions), and then operate using the rules to combine fractions.

For the first mixed number :

[tex]4\frac{5}{6} = 4+\frac{5}{6} =\frac{24}{6} +\frac{5}{6}=\frac{29}{6}[/tex]

For the second mixed number:

[tex]3\frac{1}{5} =3+\frac{1}{5}=\frac{15}{5}+\frac{1}{5}=\frac{16}{5}[/tex]

So now we have to subtract these two fractions, so we need to write them with the same common denominator (6 x 5 = 30):

[tex]\frac{29}{6}-\frac{16}{5}=\frac{145}{30} -\frac{96}{30}=\frac{49}{30}[/tex]

and finally we write the obtained answer in mixed number form:

[tex]\frac{49}{30} =1+\frac{19}{30} =1\frac{19}{30}[/tex]

Answer: Carpet required: 35 square yards. Cost: $700.

Wallpaper required 185 square feet, 4.2 double rolls needed, but you must buy full rolls. So 5 rolls will cost $125.

Step-by-step explanation:

Multiply the dimensions of the floor to get total square footage. Divide by 9 to convert to square yards.

314.5 ÷ 9 = 34.944. Round to 35 square yards. Multiply by $20 to get the cost of the carpet.

Multiply the dimensions of the wall to get total square footage.

Divide by 44 to get the number of rolls needed. Partial rolls not allowed. So it's 5 rolls times the $25 per "double roll." $125 is the cost.

Answer:

m = 1/4 b = 0

Step-by-step explanation:

We know that the slope-intercept form of a line is y=mx+b and that our equation is y=1/4x or y=1/4x+0 so m = 1/4 and b = 0  

Answer:

The answer is

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line.

From the question , the original line is

y = 5x + 8

Comparing with the general equation above

Slope / m = 5

Since the lines are parallel their slope are also the same

Slope of parallel line = 5

Equation of the line using point (1,-3) and slope 5 is

We have the final answer as

Hope this helps you

Answer:

Step-by-step explanation:

Answer:

i kill math for u

Step-by-step explanation:

Answer:I think A is the answer sorry if I’m wrong

Step-by-step explanation:

The equivalent decimal have 1 places right after the decimal point, if

the denominator of the fraction is 10.

And, The equivalent decimal have 2 places right after the decimal point, if

the denominator of the fraction is 100.

Here,

We have to determine places after the decimal point does the equivalent decimal have,

The denominator of the fraction is 10 and the denominator of the fraction is 100.

What is Decimal representation?

A decimal number is a number where the integer part is separated from the fractional part with the help of a decimal point.

Now,

Let the number 2 in numerator,

Denominator = 10

Then, Fraction = 2/10 = 0.2

Hence, The equivalent decimal have 1 places right after the decimal point.

Let the number 3 in numerator,

Denominator = 100

Then, Fraction = 3/100 = 0.03

Hence, The equivalent decimal have 2 places right after the decimal point.

So, The equivalent decimal have 1 places right after the decimal point, if

the denominator of the fraction is 10.

And, The equivalent decimal have 2 places right after the decimal point, if

the denominator of the fraction is 100.

Learn more about the Decimal representation visit:

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Answer:

-452°F < 212°F

Step-by-step explanation:

Steps:

Add  

−9  and  6.

Answer:

−3

Hope this helps (●'◡'●)

Answer:

Step-by-step explanation:

50 = 19 + 8 + x

50 - 27 = x

x = 23

Number of students = 50

Apples = 19

Bananas = 8

Other fruits = 23

Percentage of students who chose apples =

19/50 × 100 =

38%

Percentage of students who chose bananas =

8/50 × 100 =

16%

Students that didn't chose apples =

50 - 8 = 42

42/50 × 100 =

84%

Students that didn't chose apples or bananas = 23

23/50 × 100 =

46%

Answer: what is the total amount of Rashad's sales? 1,380

How much does Rashad earn from his sales? 138

Edg.

Step-by-step explanation:

Answer:

1,380 , 138

Step-by-step explanation:

Edge 2021

Answer:

It's 15

Step-by-step explanation:

(5x+12) (6x+3)=180

5x+6x+12+3=180

11x+15=180

11x=180-15

11x=165

x=165/11

x=15

hope this helps :)

Answer: 0.75 = 3/4

Step-by-step explanation: To solve, flip the second fraction and multiply the numerators and denominators together and simplify.

Answer:

Step-by-step explanation:

[tex]\frac{1}{2}\div \frac{2}{3}\\\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\\\\=\frac{1}{2}\times \frac{3}{2}\\\\\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}=\frac{1\times \:3}{2\times \:2}\\\\=\frac{3}{4}[/tex]

Answer:

The vector [tex]\vec v = (3,-2,3)[/tex] points from the origin to the point (3,-2,-3).

Step-by-step explanation:

Geometrically speaking, a vector is the change between a final point and a initial point. Since vector are located in space, the origin is represented by point (0, 0, 0) That is:

[tex]\vec v = (3,-2,3)-(0,0,0)[/tex]

[tex]\vec v = (3-0,-2-0,3-0)[/tex]

[tex]\vec v = (3,-2,3)[/tex]

The vector [tex]\vec v = (3,-2,3)[/tex] points from the origin to the point (3,-2,-3).

To solve the problem we must know about Vector points.

A point is a position in space. It is represented by a dot.

A vector is something that has both magnitude and direction but no fixed position in space. it is represented by an arrow pointing in a particular direction.

When we draw vectors, we attach them to specific points, but we should remember that the vector has no fixed position. These points are known as vector points.

The vector will point toward the point (3, -2, 3) in space.

As we know a vector has no fixed position in space, but it points towards its final condition starting from the initial condition. Therefore, its tail is towards the initial condition while its arrowhead is towards the final condition. Thus,

Final condition - Initial Condition

= (3, -2, 3) - (0, 0, 0)

= (3-0, -2-0, 3-0)

= (3, -2, 3)

Hence, the vector will point toward the point (3, -2, 3) in space.

Learn more about Vector Points:

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Answer:

I must be popular because my phone is blowing up.  

✔ hyperbole

Her smile lit up my day.  

✔ metaphor

The dog continued to bark, speaking with authority.  

✔ personification

He wept like a faucet.  

✔ simile

Step-by-step explanation:

Answer:

I must be popular because my phone is blowing up.  hyperbole

Her smile lit up my day.  metaphor

The dog continued to bark, speaking with authority.  personification

He wept like a faucet.  simile

Step-by-step explanation:

Answer:

a is the value of X

Step-by-step explanation:

The value of the variable x is 40. Then the correct option is C.

The circle is at equidistant of points drawn from the center. The radius of a circle is the distance between the center and the circumference.

Half the differential between the dimensions of the captured arcs is the measurement of an angle made by the two secants, two tangents, or a secant and a tangent from just a point are outside the circle.

Then the equation will be given as,

35° = [(4x + 50) – (3x + 20)] / 2

Simplify the above equation, then the equation will be

35 = (4x – 3x + 50 – 20) / 2

70 = x + 30

 x = 70 – 30

 x = 40

Then the value of the variable x is 40.

Then the correct option is C.

More about the circle link is given below.

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Answer:

okNeed more practice? Just not getting it? Get Math help

Answer:

(x+4)(x+30)

Step-by-step explanation:

when the equation is x^2+bx+c=0

-b is the sum of the zeroes and c the product

so -34=-30-4 is the sum of the zeroes

120=30*4 is the product

so x^2+34x+120=x^2+30x+4x+120=x(x+30)+4(x+30)=(x+4)(x+30)

Answer:

(x+4)(x+30)

Step-by-step explanation:

sorry i am late...

Answer:

that one is already correct

Answer:

1.24

Step-by-step explanation:

there are 4 quarts to a gallon. you have 3 gallons. so you have 12 quarts. 14.88 divided by 12 is 1.24! hope this helps! :)

Answer:

1/3 or 33.3%

Step-by-step explanation:

You can roll a 1 2 3 4 5 or 6

If you want a 5 or 6 there is a 2 in 6 chance which is the same as 1 in 3.

1/3 = .333333 which can be expressed at 33.3%

Answer:

0.4 pokemons per min

Step-by-step explanation:

12/30=0.4

Answer:

i thought u played pokemon go

Step-by-step explanation:

Answer:

a) 7/4 b) 5 c) 2

Step-by-step explanation:

Logrithmic Rule for a and b

Let a, M, N be positive real numbers.

a)  

logaM - logaN = loga(M/N)

log9(7) - log9(4) = log9 (7/4)

b)

logaM + logaN = logaMN

log2 (x) + log2(9) = log2(45)

x9=45

(x9)/9 = 45/9

x = 5

c)

Change of base formula.

logb​(x)=logd​(b)/logd​(x)​

x log6(5) = log6(25) divide each term by log6(5)

x log6(5) / log6(5) = log6(25) / log6(5)   Cancel common factor log6(5)

x = log6(25) / log6(5)

x = log6(5^2) / log6(5)

Expand log6(5^2) by moving 2 outside the logarithm.

x = 2log6(5) / log6(5) cancel the like term log6(5)

x = 2

Answer: 10 units

Step-by-step explanation:

Answer: 10

Step-by-step explanation:

Edg 2021

Answer:

Step-by-step explanation:

Its the last graph.

The blue graph is the function y = |x|.

The red one is the graph of y =  5|x|.

This is a vertical stretch of factor 5.

1.

term number        sequence A        sequence B

        0                          -1                          ¹/₂

        1                            2                          1

        2                           5                          2  

        3                           8                          4

        4                           11                          8

        5                          14                         16    

        6                          17                         32

2.

Every new term of sequence A is produced by adding 3 to the previous term

3.

Every new term of sequence B is produced by multipling the previous term by 2

4.

In a geometric sequence each term is found by multiplying the previous term by a constant. It means the sequence B is geometric, the constant is 2.

Answer:

12W=24+12

w=36÷12=3

.....

Answer:

w=3

Step-by-step explanation:

12w -24 = 12

=>12w=12+24

=>12w=36

=>w=36/12

=>w=3

Answer:

199/25

Step-by-step explanation:

Answer:

7 24/25

Step-by-step explanation:

The whole number, 7, does not change. The decimal becomes 96/100 which simplifies to 24/25 when you divide by 4.

Hope this helps :-)

Answer:

211.5 in²

Step-by-step explanation:

top rectangle: 5x7=35

middle rectangle: 8x9=72

bottom triangle: 1/2(19)(11)=104.5

35+72+104.5= 211.5 in²