What is the least common denominator of 1/6 and 5/12

Answer:

48 cm²

Step-by-step explanation:

Area of trapezoid = [tex]\frac{a + b}{2}[/tex] × h

Area = (8 + 16)/2 x 4

Area = 24/2 x 4

Area = 12 x 4

Area = 48 cm²

Yes, your answers are correct.

The volume of a cone is given by V = 1/3πr²h.  Since the diameter of the first cone is 4, the radius is 2; therefore the volume is

V = 1/3π(2²)(8) = 32π/3

We divide the volume of the sink, 2000π/3, by the volume of the cone:

2000π/3 ÷ 32π/3 = 2000π/3 × 3/32π = 6000π/96π = 62.5 ≈ 63.

The diameter of the second conical cup is 8, so the radius is 4.  The volume then is:

V = 1/3π(4²)(8) = 128π/3

Dividing the volume of the sink, 2000π/3, by 128π/3:

2000π/3 ÷ 128π/3 = 2000π/3 × 3/128π = 6000π/384π = 15.625 ≈ 16

The requried,
(a) Carissa scoop out 63 cups.
(b) Carissa scoop out 16 cups

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Here,
The problem requires us to find out how many cups of water Carissa needs to scoop out of the sink to empty it, given the volume of the sink and the dimensions of the two cups. We can solve this problem by using the formula for the volume of a cone:

V = (1/3) * π * r² * h

First, simplify the volume formula for a cone to make it easier to manipulate:

V = 1/3πr²h

Next, plug in the given values for the first cone:

V = 1/3π(2²)(8) = 32π/3

Then, divide the volume of the sink by the volume of the first cone:

2000π/3 ÷ 32π/3 = (2000π/3) * (3/32π) = 2000/32 = 62.5 ≈ 63.

Now, calculate the volume of the second cone using the same formula:

V = 1/3π(4²)(8) = 128π/3

Finally, divide the volume of the sink by the volume of the second cone:

2000π/3 ÷ 128π/3 = (2000π/3) * (3/128π) = 2000/128 = 15.625 ≈ 16.

Divide the volume of the sink by the volume of the first cone to get the number of first cones that can fit into the sink:

2000π/3 ÷ 32π/3 = (2000π/3) * (3/32π) = 2000/32 = 62.5 ≈ 63.

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Answer:

6 5/36

Step-by-step explanation:

MARK ME BRAINLIEST?

Answer:

answer:8a + 3b - 2a - b

=8a-2a+3b-b

=6a+2b or 2(3a+b) is your answer

Answer:

x1=-6, x2=-2

Step-by-step explanation:

Answer:

this is the answer hope it helps

Answer:

B. [tex] 200.5 \: {m}^{2} [/tex]

Step-by-step explanation:

Area of the composite figure = Area of square with side length 12 m + Area of semicircle with radius (12/2= 6) 6 m

[tex] = {(12)}^{2} + \frac{1}{2} \pi {r}^{2} \\ \\ = 144 + \frac{1}{2} \times 3.14(6)^{2} \\ \\ = 144 + \frac{1}{2} \times 3.14 \times 36 \\ \\ = 144 + 56.52 \\ \\ = 200.52 \: {m}^{2} \\ \\ \approx \: 200.5 \: {m}^{2} [/tex]

Answer:

-496

Step-by-step explanation:

it's right :)

Answer: It should be 825

Step-by-step explanation:

Answer:

I think its b

Step-by-step explanation:

Answer:

x + 9

Step-by-step explanation:

The sum of x and 9,

x + 9

Answer:

9) 73

10) he set off at 1:55 pm

easy-Peasy

Answer:

The answer is -7.

Step-by-Step explanation:

The greatest common factor( GCF) is = 4.

The greatest common factor(GCF) is the highest number that can divide 8, 44 and 12 without a reminder.

To find the GCF, first list the common factors of each figure given.

There are 3 common factors of 8, 44 and 12, that are 1, 2, and 4. Therefore, the greatest common factor of 8, 44 and 12 is 4.

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Answer: 5 1/2

Step-by-step explanation:

I took the test ig, but im not 100% sure

Answer:

150 ft²

Step-by-step explanation:

Area of trapezoid = ½(a + b)h

Where,

a = 24 ft

b = 24 + 12 = 36 ft

h = √(13² - 12²) = √25 = 5 ft (pythagorean theorem was applied here)

Plug in the values

Area of trapezoid = ½(24 + 36)*5

= ½(60)*5

Area of trapezoid = 150 ft²

Answer:

y=-x+1

Step-by-step explanation:

Slope intercept form is writing the equation of a line in the form y=mx+c, where m is slope and c is the y-intercept.

The y-intercept, c, is the value of y when the line crosses the y-axis. We can read from the graph that this value is 1. So, c=1

The slope, m, can be found by taking two points from the graph, (x,y) and (X,Y), and using the formula m=(Y-y)/(X-x). Two point on our line in this example are (0,1) and (-1,2):

m=(2-1)/(-1-0)=-1/1

m= -1

Knowing these values, we can write y=mx+c for our equation: y=-x+1

Answer:

1. I'll Be Fine - Juice Wrld

2. ON GOD - Juice Wrld

3. Rich and Blind - Juice Wrld

Answer:

4/5

Step-by-step explanation:

slope is 4/5

y = mx + b

m = slope

Answer:

3 hours

Step-by-step explanation:

15÷5=3 so that's ot

Answer:

x = 180 - 30 - 41 - 67 = 42°

Q5 is 115. Hope this helps! :) ✨

I can't see the numbers on Q6 sorry :((

Answer:

p - 3

Step-by-step explanation:

Key expression: 3 fewer than

Fewer than = subtract from

subtract 3 from a number, p

This means that the expression would be p - 3

Because you are subtracting 3 from a number ( p )

Answer:

the ration of 3:5. 5 x 4 gives you 20 so, 3x4 gives you 12.

Answer:

[tex]x = 26[/tex]

Step-by-step explanation:

Given

The above triangles

Required

Find x

The two triangles are similar. So we make use of the following equivalent ratios, to solve for x

[tex]XZ : ZY = JL : LK[/tex]

Replace each side with their measurements

[tex]13 : 10 = x : 20[/tex]

Express as fraction

[tex]\frac{13}{10} = \frac{x}{20}[/tex]

Solve for x

[tex]x = \frac{13}{10} * 20[/tex]

[tex]x = 1.3 * 20[/tex]

[tex]x = 26[/tex]

Answer: it’s a

Step-by-step explanation: