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2 years ago

Least common denominator of 7/9 and 2/3

2 answers:

8 0

First of all, we need to think what is the Greatest Common Factor of 3 and 9.

The answer is 3 because both sets of factors have the highest factor of 3.

Next we have to multiply the Greatest Common Factor to 3. So, 3 x 3= 9.

The answer isn’t just 9, your answer can be in fractions, I heard this saying when I was in middle school, “Whatever you do to the bottom, you have to do it to the top”.

If we follow that saying, we can get our answer. So 3 was what we were multiplying by to get 9, so we have to do it to the numerator.

7x3= 21, But sometimes they trick you, you cannot do 7x3 because the denominator is the LCD, (Least Commen Denominator”.

So that answer is the same, 7/9.

The saying we used before has to go into our next problem, 3 was the number we used to multiply, so we will multiply 2 by 3 and 2 by 2.

2 x 2= 4
2 x 3= 6

For that equation, the answer is 4/6.

So we learned that to solve this problem, we need to use Greatest Common Factor, Multiplication for basic problems, and Least Common Denominator.

We also learned how to find the answer and it showed us what to do Step by Step.

For anymore information, please ask me in comments below and I would be glad to help, I also recommend if your busy, ask your teacher of guidance counselor or any adult that has at least a high school diploma.

Thank you for asking, we appreciate it and we love to help you even more!

Have a great evening everyone and stay Brainly! :))

Margaret [11]2 years ago

7 0

Answer: 9

Step-by-step explanation: The common denominator will be the least common multiple for the two denominators.

To find the least common multiple or lcm of 3 and 9, begin by listing the first few multiples for each number.

Multiples of 6

1 × 9 = 9

2 × 9 = 18

3 × 9 = 27

Notice that we skipped 0 × 9 in our list of multiples. That's because 0 × 6 is 0 according to the zero property of multiplication and our least common multiple can't be 0.

When listing the multiples of 3, it's a good idea to keep an eye on the list of multiples for 9 so that we will notice when we find a least common multiple.

Multiples of 3

1 × 3 = 3

2 × 3 = 6

3 × 3 = 9

Notice that in both lists, we have the least common multiple which is 9.

Therefore, the least common denominator of 9 and 3 is 9.

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2 years ago

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2 years ago

The floor of the cage measures 11 yardyard wide by 66 feetfeet long. One bag of shavings covers 55 square feetfeet. How many bag

bazaltina [42]

Answer:

3 3/5 bags

Step-by-step explanation:

We have to find the surface area of the floor of the cage first.

The cage measures 1 yard wide by 6 feet long.

1 yard = 3 feet

The floor of the cage is rectangular, so, the surface area of the floor of the cage is therefore:

3 * 6 = 18 square feet

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3 years ago

1/16^3x=64^2(x+8) Solve for x.

SSSSS [86.1K]

Answer:

x = -4

Step-by-step explanation:

16 = 4*4 = 4²

64 = 4 * 4* 4 = 4³

$(\dfrac{1}{16})^{3x}=64^{2*(x+8)}\\\\\\(16^{-1})^{3x}=64^{2x + 16}\\\\\\16^{-3x}=64^{2x +16}\\\\(4^{2})^{-3x}=(4^{3})^{2x+16}\\\\4^{-6x}=4^{6x +48}$

As bases are same, compare exponents

6x + 48 = -6x

Subtract 48 from both sides

6x = -6x - 48

Add '6x' to both sides

6x + 6x = -48

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1 year ago

A ball is projected in to the air. Its height at time t is given by the equation

Ksju [112]

The equation gives the height of the ball. That is, h is the height of the ball. t is the time. Since we are looking for the time at which the height is 8 (h=8), we need to set the equation equal to 8 and solve for t. We do this as follows:

$h=-16 t^{2} +60t+1$
$8=-16 t^{2} +60t+1$
$16 t^{2} -60t-1+8=0$
$16 t^{2} -60t+7=0$

This is a quadratic equation and as it is set equal to 0 we can solve it using the quadratic formula. That formula is:
$t= \frac{-bplus minus \sqrt{ b^{2}-4ac } }{2a}$
You might recall seeing this as "x=..." but since our equation is in terms of t we use "t-=..."

In order to use the formula we need to identify a, b and c.
a = the coefficient (number in front of) $t^{2}$ = 16.
b = the coefficient of t = -60
c = the constant (the number that is by itself) = 7

Substituting these into the quadratic formula gives us:
$t= \frac{-(-60)plus minus \sqrt{ (-60)^{2}-4(16)(7) } }{2(16)}$
$t= \frac{60plus minus \sqrt{3600-448 } }{32}$
$t= \frac{60plus minus \sqrt{3152 } }{32}$

As we have "plus minus" (this is usually written in symbols with a plus sign over a minus sign) we split the equation in two and obtain:
$t= \frac{60+56.1426}{32} =3.63$
and
$t= \frac{60-56.1426}{32} =.12$

So the height is 8 feet at t = 3.63 and t=.12

It should make sense that there are two times. The ball goes up, reaches it's highest height and then comes back down. As such the height will be 8 at some point on the way up and also at some point on the way down.

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3 years ago