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2 years ago

13

The ratio of lemon to water in 80 fluid ounces of lemonade id 3:1 the lemonade was diluted futher if the ratio was 3:2 how much

was added to dilute the lemonade

1 answer:

andriy [413]2 years ago

4 0

Answer:

I think 53.334 ounces were added to dilute the lemonade

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Lakshmi donates 20% percent of her income to charity.

Andru [333]

Just put 20 over 100 and simplify. The answer is 1/5.

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3 years ago

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In order to become a member at a gym, there is a $75 startup fee. You then have to pay $15 per month. Write an equation in slope

tino4ka555 [31]

Answer:

y = 15x +75

Step-by-step explanation:

15 is the number of months and changes based on how many months

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2 years ago

Two solutions of the polynomial equation are given. Use synthetic division to find any remaining solutions.

liubo4ka [24]

Answer:

The remaining solutions are -7 and 3.

Step-by-step explanation:

The synthetic division is shown in the attachment. After dividing the first two found factors from the polynomial, the remaining quadratic is ...

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3 years ago

Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) dx x(l

Pepsi [2]

I'm assuming the integral is

$\displaystyle \int \frac{dx}{x (\ln(x^2))^5}$

We have

$\ln(x^2) = 2 \ln|x| \implies (\ln(x^2))^5 = 32 (\ln|x|)^5$

Then substituting $y=\ln|x|$ and $dy=\frac{dx}x$ , the integral transforms and reduces to

$\displaystyle \int \frac{dx}{x(\ln(x^2))^5} = \frac1{32} \int \frac{dy}{y^5} \\\\ ~~~~~~~~ = \frac1{32} \left(-\frac1{4y^4}\right) + C \\\\ ~~~~~~~~ = -\frac1{128(\ln|x|)^4} + C$

which we can rewrite as

$128 (\ln|x|)^4 = 8\cdot2^4(\ln|x|)^4 = 8 (2\ln|x|)^4 = 8 (\ln(x^2))^4$

and so

$\displaystyle \int \frac{dx}{x (\ln(x^2))^5} = \boxed{-\frac1{8(\ln(x^2))^4} + C}$

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1 year ago

If you bought a cookie for 80¢ and paid for it with a 5 dollar bill, how much change would you receive?

Inessa [10]

Answer:

4 dollars and 20 cents

Step-by-step explanation:

5.00-.80=4.20

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2 years ago

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