how can you compare fractions with the same denominators

using the points, the x is Soda and the Y is the grape juice

 for (1,2) 1 soda to 2 juices

(2,4) 2 sodas to 4 juices

so the ratio is 2 juices to every 1 soda which is a 2/1 ratio

Answer:

C

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

You have to multiply 0.60 by 25 in order to get 15! Easy, right?

the answer is 15.625mg

Answer:

For the proof, check the explanation part.

Step-by-step explanation:

In the given figure, the lines PQ and RS are parallel and line t is transversal.

It is required to prove that measure of angle 4 is equal to measure of angle 8.

Now, measure of angle 4 will be equal to measure of angle 6 because they are the alternate interior angles.

Now, the measure of angle 6 will be equal to measure of angle 8 because they are the vertically opposite angles.

So, form the above information, it can be concluded that,

[tex]\angle 4=\angle 6\\\angle 6=\angle 8\\\angle 4=\angle 8[/tex]

Hence proved.

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After 8 movie rentals, will the cost of renting movies with the membership be less than the cost of renting movies without the membership.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the information given in the question,

There are two options for renting movies.

As per the first option,

Pay $4 per movie, so the equation will be,

y = 4x     (i)

Where y is the total cost and x is the number of movies.

As per the second option,

Take a membership of $20, and they pay $1.50 per movie.

So, the equation will be,

y = 1.5x + $20   (ii)

Where y is the total cost and x is the number of movies.

Now, solve equations (i) and (ii)

4x = 1.5x + $20

4x - 1.5x = 20

2.5x = 20

x = 20/2.5

x = 8

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Final answer:

The other rational number is 384/7.

Explanation:

To find the other rational number, we can set up a proportion by setting the two ratios equal to each other. The given ratio is 66/7, and the product of the two ratios is 48/5.

Let the other rational number be represented by w. Writing the proportion, we have:

66/7 = w/(48/5)

Cross multiplying and solving for w:

w = (66/7) * (48/5)

w = 8*48/7

w = 384/7

Hence, the other rational number is 384/7.

Answer:

The total cost of a pencil from the student store is $ 1.188

Step-by-step explanation:

Given,

The original cost or wholesale cost of each pencil = $ 0.50,

Markup percentage = 120 %,

So, the cost of the pencil after markup = 0.50 + 120% of 0.50

[tex]=0.50+\frac{120\times 0.50}{100}[/tex]

[tex]=0.50+\frac{60}{100}[/tex]

[tex]=0.50+0.6[/tex]

[tex]=1.1[/tex]

Now, sales tax = 8 %,

Hence, the final total cost of a pencil = 1.1 + 8 % of 1.1

[tex]=1.1 + \frac{8\times 1.1}{100}[/tex]

[tex]=1.1+\frac{8.8}{100}[/tex]

[tex]=1.1+0.088[/tex]

[tex]=\$1.188[/tex]

divide the amount deducted ( $24) by the number of bus rides (12)

24 / 12 = 2

 it cost $2 per ride

The expression which is obtained on factorising it completely is:

         [tex]x^6-64y^3=(x^2-4y)(x^4+16y^2+4x^2y)[/tex]

We are asked to factorize the expression which is given by:

               [tex]x^6-64y^3[/tex]

This expression could also be written as:

[tex]x^6-64y^3=(x^2)^3-(4y)^3[/tex]

Now, we know that:

[tex]a^3-b^3=(a-b)(a^2+b^2+ab)[/tex]

Here we have:

[tex]a=x^2\\\\and\\\\b=4y[/tex]

Hence,

[tex]x^6-64y^3=(x^2-4y)((x^2)^2+(4y)^2+x^2\times 4y)[/tex]

i.e.

[tex]x^6-64y^3=(x^2-4y)(x^4+16y^2+4x^2y)[/tex]

Answer:

The answer is 24.28 square meters.

Step-by-step explanation:

Kwan bought three rolls of regular wrapping paper with 6.7 square meters of paper each.

The paper in three rolls become = [tex]3\times6.7=20.1[/tex] square meter

He also bought a roll of fancy wrapping paper containing 4.18 square meters.

So, total paper that Kwan had is = [tex]20.1+4.18=24.28[/tex] square meter.

Therefore, the answer is 24.28 square meters.

Answer: The answer is 20.1

Step-by-step explanation: To find out how much paper Kwan had altogether, we need to calculate each type's total square meters of wrapping paper and then add them together.

Kwan bought three rolls of regular wrapping paper, each with 6.7 square meters of paper. To find the total square meters for the traditional wrapping paper, we can multiply the number of rolls (3) by the square meters per roll (6.7):

3 rolls * 6.7 square meters/roll = 20.1 square meters

So, Kwan has 20.1 square meters of regular wrapping paper.

In addition, Kwan also bought a roll of fancy wrapping paper, which contains 4.18 square meters.

To find the total amount of wrapping paper Kwan has, we can add the square meters of regular wrapping paper to the square meters of fancy wrapping paper:

1 it grows 18 inches every 3 months

 there are 12 months in 1 year

12 dived by 3 = 4 so there are 4 times it will grow 18 inches

18 * 4 = 72 inches, amount it grows in 1 year

 Answer is D

2. it grows 9 inches every 2 months

 12/2 = 6 times a year it will grow

 9 *6 = 54 inches total for 1 year

 Answer is C

Since we can add a number to a tens number easily, we make one of the addends a tens number when solving an addition problem.

Example 1:

Add 9 and 6.

9 + 6 = 9 + (1 + 5)

        = (9 + 1) + 5

        = 10 + 5 = 15

Note that adding 10 and 5 is much easier than adding 9 and 6.

Example 2:

Add 18 and 16.

18 + 16 = 18 + (2 + 14)

        = (18 + 2) + 14

        = 20 + 14 = 34

Note that adding 20 and 14 is much easier than adding 18 and 16.