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katen-ka-za [31]

2 years ago

7

In a fruit cocktail, for every 15 ml of orange juice you need 5 ml of apple juice and 50 ml of coconut milk. What is the ratio o

f apple juice to coconut milk to orange juice expressed in its simplest form?

1 answer:

zmey [24]2 years ago

4 0

Answer:

1:10:3

Step-by-step explanation:

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5^2•3^-1•5^-3/3^4•5^-1•3^-3

puteri [66]

Assuming you want the expression to be simplified.

We begin with the following:

$5^{2} * 3^{-1} * \frac{5^-3}{3^{4}} * 5^{-1} * 3^{-3}$

Simplify the first part, $5^{2}$ . That is 25. Now we have this:

$25*3^{-1.5} * \frac{-3}{3^{4}} * 5^{-1} * 3^{-3}$

Next, simplify $3^{-1}$ , which is 1/3, and get this:

$25* 1/3 * \frac{-3}{3^{4}} * 5^{-1} * 3^{-3}$

The next part is $\frac{5^-3}{3^{4}}$ . Simplify the denominator, $3^{4}$ , which is 81. Simplify the numerator, which is 1/125. Then divide 1/125 by 81, which we will keep as a fraction for simplicity's sake, but simplify it to $\frac{1}{10125}$ . Now we have:

$25* 1/3 * \frac{1}{10125} * 5^{-1} * 3^{-3}$

Now simplify $5^{-1}$ , which is 0.2, or 1/5. Now we have:

$25* 1/3 * \frac{1}{10125} * 0.2 * 3^{-3}$

Finally, simplify $3^{-3}$ . That is 1/27. We have:

$25* 1/3 * \frac{1}{10125} * 0.2 * 1/27$

Lastly, multiply them all together! Now we are done, with the product of:

$\frac{1}{6075}$

That certainly did take a while to type in all the LaTex, so I really hope that helped!

Note- if anything isn't working with the LaTex, just tell me and I'll fix it! (:

3 0

2 years ago

So I don't understand how V = lwh (h).... the topic is literal equations.

Kruka [31]

1) Solving in terms of h

V = lwh <em>Divide both sides by h</em>

<em />

$\begin{gathered} V\text{ = lwh} \\ \frac{V}{h}=\frac{lwh}{h} \\ \frac{V}{h}\text{ =}lw\text{ Cross multiply} \\ hlw=V\text{ Divide both sides by lw} \\ \frac{hlw}{lw}=\text{ }\frac{V}{lw} \\ h\text{ = }\frac{V}{lw} \end{gathered}$

So rearranging that equation we can find h, in terms of V, and l and w.

If we want to solve in terms of l, or w, we'll proceed similarly to isolate the variable we want on the left side, and the other terms on the right side.

6 0

1 year ago

kirk has 42 pieces of candy to divide evenly between his three children. if he puts the pieces into three boxes how many pieces

Gekata [30.6K]

14 pieces of candy in the box

8 0

2 years ago

2log(base 5)^(x-3)-log(base 5)^8= log(base 5)^2

Alja [10]

Answer:

x = 7

Step-by-step explanation:

$2log_5(x-3)-log_58= log_52\\\\2log_5(x-3) =log_52+log_58\\\\2log_5(x-3) =log_5(2\times 8) \\\\2log_5(x-3) =log_516\\\\2log_5(x-3) =log_54^2 \\\\2log_5(x-3) =2 log_54 \\\\log_5(x-3) =log_54 \\\\x - 3 = 4\\\\x = 4+3\\\\\huge \orange { \boxed{x = 7}}$

7 0

2 years ago

Solve for x -3+8×-5=-8

Art [367]

Answer:

x is 0

Step-by-step explanation:

subtract the number 3 5 and 8 then combine like terms and 8 on both sides of the equation then simplify after that divide both sides of the equation by the same term then simplify

5 0

2 years ago