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3 years ago

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

Novosadov [1.4K]

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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Answer:

Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

Find the area of the figure below. (Please help)!

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Hi,

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4 0

3 years ago

Find the solution to dy/dt = 7 y<br><br> satisfying<br> y(9) = 5

AVprozaik [17]

$\rm \dfrac{dy}{dt}=7y,\qquad\qquad\qquad y(9)=5$

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,

$\rm ln|y|=7t+c$

exponentiate to isolate y,

$\rm |y|=e^{7t+c}$

Apply exponent rule,

$\rm |y|=e^c e^{7t}$

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

$\rm \pm y=A e^{7t}\qquad\qquad A>0$

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

$\rm y=A e^{7t}\qquad\qquad A\ne0$

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,

$\rm A=5e^{-63}$

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.

3 0

3 years ago