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STatiana [176]
3 years ago
7

Can someone please help me with this?

Mathematics
1 answer:
Tomtit [17]3 years ago
8 0

Obviously, Ali is correct. Khamis did a mistake, he forgot the negative sign of  - 5, when he divided b. He should have let - 5b and divided it by - 5 like ali did.

Good Luck

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To make a punch Anna adds 8 ounces of apple juice for every 4 ounces of orange juice if she uses 32 ounces of apple juice which
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Answer:

Step-by-step explanation:

If our ratio is apple juice to orange juice, then the proportion will be

\frac{a}{o}:\frac{8}{4}

If we are looking for how much orange juice she needs if she uses 32 ounces of apple juice, then 32 goes on top of a new ratio and x goes on bottom:

\frac{a}{o}:\frac{8}{4}=\frac{32}{x}

That's the proportion.  If you need to solve it, cross multiply to get

8x = 128 so

x = 16 ounces of orange juice

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Find the solution to dy/dt = 7 y<br><br> satisfying<br> y(9) = 5
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\rm \dfrac{dy}{dt}=7y,\qquad\qquad\qquad y(9)=5

I'm not sure what methods you've learned up to this point but one option is to apply separation of variables:

\rm \dfrac{dy}{y}=7dt

and then integrate from there,

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exponentiate to isolate y,

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Apply exponent rule,

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rename this e^c as some new constant, perhaps A,

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This A can only be positive, non-zero, but absorbing the plus/minus fixes that restriction,

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Use your initial information to solve for this unknown value A,

\rm y(9)=A e^{7\cdot9}=5

solving for A, dividing by the exponential,

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So we get a final result of

\rm y(t)=5e^{-63}e^{7t}

apply exponent rule again to get a better looking answer, and factor,

\rm y(t)=5e^{7(t-9)}

Lemme know if too confusing.
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