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2 months ago

Guest #3225

2 months ago

24 pints is the answer

Guest #3226

2 months ago

24

One gallon holds eight pints. 8 x 3 = 24

One gallon holds eight pints. 8 x 3 = 24

Question

The diameter of a DVD is 12 centimeters. The hole in the center of a DVD has a diameter of 1.5 centimeters. Find the area of the DVD. Round to the nearest hundredth if necessary.

Solution 1

The area of the **circular DVD **is given by A = 111.33 cm²

A **circle **is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of **circle **= 2πr

The area of the circle = πr²

where r is the **radius **of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit **circle **, the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of **angle **θ is ( cos θ , sin θ )

Given data ,

Let the area of the **circular **DVD be A

Let the diameter of the DVD = 12 cm

So , the radius of the DVD = 6 cm

Now , the diameter of the hole = 1.5 cm

So , the radius of the hole = 0.75 cm

And , area of the **circular DVD **be A = π [ ( 6 )² - ( 0.75 )² ]

On simplifying , we get

The area of circular DVD is A = π ( 36 - 0.5625 )

The area of circular DVD is A = π ( 35.4375 )

The area of **circular DVD **is A = 111.33 cm²

Hence , the area of the **circular DVD **is 111.33 cm²

To learn more about **circle **click :

#SPJ3

Solution 2

111.27 centimeter squared.

Question

Y=3x - 11
Y= -3x - 2

Solution 1

Subsitution method.

Y=3x - 11

Y= -3x - 2

-3x - 2 = 3x - 11

+3x +3x

-2 = 6x - 11

+11 +11

6x = 9

x = 1.5

Y=3(1.5) - 11

y = 4.5 - 11

y = -6.5

Now we have our points.

**Answer: x = 1.5 and y = -6.5**

Y=3x - 11

Y= -3x - 2

-3x - 2 = 3x - 11

+3x +3x

-2 = 6x - 11

+11 +11

6x = 9

x = 1.5

Y=3(1.5) - 11

y = 4.5 - 11

y = -6.5

Now we have our points.

Solution 2

Well, you do Equality method.

3x-11 = -3x-2

add 3x on both sides

6x-11 = -2

add 11 on both sides

6x = 9

divide 6 on both sides

x = 3/2

As you found the x value, you now need to find the y value by plugging in the x value in one of the above equations and solve for y.

y = 3x-11

y = 3(3/2) -11

y = 9/2 -11

y = -13/2

So, the answer is (3/2,-13/2) or (1.5,-6.5)

HOPE THIS HELPS!!!

3x-11 = -3x-2

add 3x on both sides

6x-11 = -2

add 11 on both sides

6x = 9

divide 6 on both sides

x = 3/2

As you found the x value, you now need to find the y value by plugging in the x value in one of the above equations and solve for y.

y = 3x-11

y = 3(3/2) -11

y = 9/2 -11

y = -13/2

So, the answer is (3/2,-13/2) or (1.5,-6.5)

HOPE THIS HELPS!!!

Question

The sum of 5 consecutive integers is 270

Solution 1

54+54+54+54+54=270 270 divided by 5 is 54

Question

What must you do if you multiply one number in a ratio by n?

Solution 1

**Answer:**

multiply the others by n

**Step-by-step explanation:**

*If you want to keep the same ratio*, you must multiply all of the numbers by n.

A ratio of 1 : 1 will remain 1 : 1 if all the numbers are multiplied by n:

1 : 1 = n : n

_____

*Comment on alternate interpretation of the question*

There are occasions for multiplying the ratio by n:

x/n = 1/2

To solve this for x, we multiply the ratio (1/2) by n. This multiplies the numerator, but does not change the denominator.

x = n(1/2) = n/2

Question

The ___ is the collection of all possible individual outcomes for a chance process. The total probability of all the possible individual outcomes is ____. Choices for first blank: probability model; relative frequency; sample space; probability
Choices for second blank: 0.5; 0; 1; 100

Solution 1

0.5 is it i had this question before

Question

How many times larger is 8*10^6 than 2*10^2

Solution 1

The first step for solving this question is put both of your given expressions into one and then subtract them. This will look like the following:

8 × - 2 × 10²]

Now to make the calculation easier,, factor the expression.

(8 × - 2) × 10²

Evaluate the power inside the parenthesis.

(8 × 10000 - 2) × 10²

Evaluate the power outside the parenthesis.

(8 × 10000 - 2) × 100

Multiply the numbers inside the parenthesis.

(80000 - 2) × 100

Subtract the numbers in the parenthesis.

79998 × 100

Lastly,, multiply the numbers together to get your final answer.

7999800

This means that 8 × is 7999800 times larger than 2 × 10².

Let me know if you have any further questions.

:)

8 × - 2 × 10²]

Now to make the calculation easier,, factor the expression.

(8 × - 2) × 10²

Evaluate the power inside the parenthesis.

(8 × 10000 - 2) × 10²

Evaluate the power outside the parenthesis.

(8 × 10000 - 2) × 100

Multiply the numbers inside the parenthesis.

(80000 - 2) × 100

Subtract the numbers in the parenthesis.

79998 × 100

Lastly,, multiply the numbers together to get your final answer.

7999800

This means that 8 × is 7999800 times larger than 2 × 10².

Let me know if you have any further questions.

:)

Question

If x is to 6 as 10 is to 15, then x is equal to

Solution 1

The answer you are looking for is X = 4.

To find this, you must first figure out the relationship between 10 and 15. Since 10 is 2/3 of 15, "x" must be 2/3 of 6.

To find "x", divide 6 by 3 to get 2, then 2 by 2 to get 2/3 of 6 (4). Thus meaning X = 4.

I hope this helps!

To find this, you must first figure out the relationship between 10 and 15. Since 10 is 2/3 of 15, "x" must be 2/3 of 6.

To find "x", divide 6 by 3 to get 2, then 2 by 2 to get 2/3 of 6 (4). Thus meaning X = 4.

I hope this helps!

Question

A bag of apples weighs 7 7/8 pounds. By weight, 1/18 of the apples are rotten.what is the weight of the good apples

Solution 1

The answer would be 6 1/4 apples

hope this helps

hope this helps

Question

A lawn is shaped like a parallelogram with a base of 32 feet and a height of 15 feet. Covering the lawn with grass will cost $2.60 per square foot. How much money will it cost to cover the lawn with grass?

Solution 1

The total cost would be $1248.

To find the total cost, we need to first find the area of the parallelogram. To find the area, we need to multiply the base and height.

Then, we need to multiply the total area by the cost of $2.60.

32 x 15 x 2.6 = 1248

To find the total cost, we need to first find the area of the parallelogram. To find the area, we need to multiply the base and height.

Then, we need to multiply the total area by the cost of $2.60.

32 x 15 x 2.6 = 1248

Solution 2

**Answer:**

$1248.

**Step-by-step explanation:**

area = base x height.

then

area x cost

b h c

32 x 15 x 2.6 = 1248

Question

Can someone think of a poem which starts with "Today I feel ...."

Solution 1

Yes, I shall give you an idea of how to start it. :)

Today I feel glad...

For all the friends I have had...

They gave me a pleasure...

For all that I treasure...

Special and dear to my heart.

Ta da! :D Hope you like it

Today I feel glad...

For all the friends I have had...

They gave me a pleasure...

For all that I treasure...

Special and dear to my heart.

Ta da! :D Hope you like it

Solution 2

Today I feel inspired.

Today I decided to feel inspired.

Today I chose to be inspired.

Today I decided to feel inspired.

Today I chose to be inspired.

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