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3 years ago

What is the common denominator for 1/3 and 1/4

Mathematics

2 answers:

kvasek [131]3 years ago

5 0

12 because if u multiply 3*4 it is 12 and 4*3 is 12 so they both have 12 in common.

Stells [14]3 years ago

5 0

To find common denominators
you may take each denominator and provide the acceptable factors.

factors of 3: 1 , 3 , 6 , 9 , 12....ETC
factors of 4: 1 , 2 , 4 , 8 , 12...ETC

Note that they both have a common number of 12

So you will multiply the 1st fraction by 4 and the 2nd by 3

4(1/3) = 4/12
3(1/4) = 3/12

no need for the last part unless if you are proceeding with different properties.

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Evaluate the expression: 6x + 5 - 3y, when y = 3 and x = -2

frozen [14]

First you need to substitute x for -2 and y for 3 in the equation.
So it would be...
6(-2) + 5 - 3(3)
-12+5-9
Then your answer is -16.
Hope that helped!

7 0

3 years ago

Doug is 2 more than twice the age of Joey.<br> The sum of their ages is 74. How old is Doug?

Citrus2011 [14]

The answer would be 37

4 0

2 years ago

The ratio of the height of two similar pyramids is 4:7. The volume of the smaller pyramid is 1,331cm, to the nearest whole numbe

IRISSAK [1]

Answer:

The volume of the larger pyramid is equal to $7,133\ cm^{3}$

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor

Let

z----> the scale factor

In this problem, the ratio of the height is equal to the scale factor

$z=\frac{4}{7}$

step 2

Find the volume of the larger pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z----> the scale factor

x----> volume of the smaller pyramid

y----> volume of the larger pyramid

$z^{3}=\frac{x}{y}$

we have

$z=\frac{4}{7}$

$x=1,331\ cm^{3}$

substitute

$(\frac{4}{7})^{3}=\frac{1,331}{y}\\ \\(\frac{64}{343})=\frac{1,331}{y}\\ \\y=343*1,331/64\\ \\y=7,133\ cm^{3}$

8 0

2 years ago

Two airplanes are flying to the same airport. Their positions are shown in the graph. Write a system of linear equations that re

wariber [46]

Answer:

Airplane #1 equation: y=5/13x+42/13

Airplane #2 equation: y=1/3x+14

Step-by-step explanation:

So to find the slope of each airplane, you use the formula y2-y1/x2-x1. That means, for airplane#1 the equation will be 9-4/15-2. Simplify this and get 5/13. Then, for airplane#2, the equation will be 12-9/6-15. Simplify this and get 3/-9 and divide each side by 3 to get 1/-3 or -1/3. Next, use point slope formula to find the system of linear equations. Point slope formula is y-y1=m(x-x1). M is the slope. Use any point from the line. In this case, I will use (2,4). Tat means the first airplane's equation would be y-4=5/13(x-2). Then y-4=5/13x-10/13. Then, convert four into a fraction with a denominator of 13. This means, you have to multiply 4 by 13 to get 52/13. Add 52/13 to -10/13 to get 42/13. That means the first equation will be y=5/13x+42/13. The second equation point will be (6,12). This means the equation will be y-12=-1/3(x-6). Simplify this to get y-12=-1/3x+2. Simplify this to get y=1/3x+14. Therefore, Airplane#1 equation will be y=5/13x+42/13 and airplane #2 equation will be y=1/3x+14.

Hope this helps

6 0

3 years ago

The population of bald eagles in Forest National Park is declining at a rate of 14% per year. The following expression represent

neonofarm [45]

We know that the population is declining at a rate of 14% per year.

The expression is:

N ( x ) = 206 * ( 0.86 ) ^ x

where x stays for years.

If we want to find the rate at which the population is declining per month we have to find:

$\sqrt[12]{0.86} = 0.9875$

And 0.9875 ≈ 0.99

There are 12 months in a year so the exponent is: x/12

Answer:

b. ( .99 ) ^ x/12

7 0

3 years ago

Read 2 more answers