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2 years ago

What ratio is equivalent to 9 6

Mathematics

1 answer:

elena-s [515]2 years ago

6 0

3:2

the greatest common factor amongst 9 and 6 is 3

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Solve for x<br> (1/x) -2/3 = (4x)

Vadim26 [7]

The value of x is $x=\frac{-1+\sqrt{37}}{12}$ and $x=\frac{-1-\sqrt{37}}{12}$

Step-by-step explanation:

The equation is $\frac{1}{x}-\frac{2}{3}=4 x$

Subtracting by $4x$ on both sides,

$\frac{1}{x}-\frac{2}{3}-4 x=0$

Taking LCM,

$\frac{3-12 x^{2}-2 x}{3 x}=0$

Multiplying by 3x on both sides,

$-12 x^{2}-2 x+3=0$

Dividing by (-) on both sides,

$12 x^{2}+2 x-3=0$

Using quadratic formula, we can solve for x.

$\begin{aligned}x &=\frac{-2 \pm \sqrt{2^{2}-4 \cdot 12 \cdot(-3)}}{2 \cdot 12} \\&=\frac{-2 \pm \sqrt{4+144}}{2 \cdot 144} \\&=\frac{-2 \pm \sqrt{148}}{24} \\&=\frac{-2 \pm 2 \sqrt{37}}{24}\end{aligned}$

Taking out common term 2, we get,

$\begin{array}{l}{x=\frac{-2(1 \pm \sqrt{37})}{24}} \\{x=\frac{-1 \pm \sqrt{37}}{12}}\end{array}$

Thus, the value of x is $x=\frac{-1+\sqrt{37}}{12}$ and $x=\frac{-1-\sqrt{37}}{12}$

4 0

3 years ago

The ordered pair below is a solution to which equation 36,4

viktelen [127]

Heyyyyyyy

9 is to 1

Hope it helps

8 0

2 years ago

A two sided coin is flipped and a 6-sided number cube is rolled. Find P(tails,5)

Fed [463]

1/12

This is because there are 12 potential outcomes of this scenario. Tails, 5 is just one of them.

6 0

3 years ago

If a person starts investing $100 per month starting at age 21, and that money earns a 5% return every year, how much will this

aalyn [17]

The formula for calculating compound interest with yearly contributions is:

Balance = X*(1 + Y)^n + Z((1 + Y)^(n + 1) - (1 + Y)/Y)

where the balance is the money earned after n years invested

Y is the interest rate as a fraction

Z is the yearly contribution

X is the starting investment

Therefore the calculation for this example is:

Balance = 1200*(1 + 0.05)^48 + 1200((1.05)^49 - (1.05)/05)

= $249,393.5

8 0

3 years ago

Read 2 more answers

8 and 1/4 + 3 and 5/6

k0ka [10]

Answer:

12 1/12

Step-by-step explanation: so, we have to make the bottom number the same as eachother or we will not be able to add effectively. So the first number that both 4 and 6 go into is 12, as you can see if we count by the numbers to get to the answer

4,8,12

6,12

So, now that we have that part figured out we would then have to multiply the top the same amount as we multiplied the bottom. So 1/4x3 and 5/6x2

So we would multiply both the top and the bottom the same amount.

1/4x3=3/12

5/6x2=10/12

So now that we have that figured out everything else is pretty straight forward.

We would add the whole numbers with eachother and the fractions with eachother.

8+3=11

3/12+10/12=13/12

so we can see that it would equal, 11 and 13/12 or 12 and 1/12

8 0

1 year ago