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fiasKO [112]
3 years ago
10

The ratio if blue paint to yellow paint is 5:6 in order to make green paint. If 30 ounces of blue paint are used, how many ounce

s of yellow paint are needed to create green? *
Mathematics
1 answer:
podryga [215]3 years ago
6 0
It’s 25.

-so it’s saying 5/x is the same as 6/30. we have to find X by dividing. The answer to the division is 5. Now take your 5 and multiply it by the 5 in the fraction to get 25.
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∫<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bxdx%7D%7B%28x%5E%7B2%7D%2B4%29%5E%7B3%7D%20%7D" id="TexFormula1" title="\frac{xdx}{
photoshop1234 [79]

Substitute u=x^2+4 and du=2x\,dx. Then the integral transforms to

\displaystyle \int \frac{x\,dx}{(x^2+4)^3} = \frac12 \int \frac{du}{u^3}

Apply the power rule.

\displaystyle \int \frac{du}{u^3} = -\dfrac1{2u^2} + C

Now put the result back in terms of x.

\displaystyle \int \frac{x\,dx}{(x^2+4)^3} = \frac12 \left(-\dfrac1{2u^2} + C\right) = -\dfrac1{4u^2} + C = \boxed{-\dfrac1{4(x^2+4)^2} + C}

3 0
2 years ago
Beverley has quarters and dimes in her pocket. She has 21 coins with a total value of $3.00. How many of each type of coin does
kondaur [170]

Answer:

Step-by-step explanation:

If all 21 coins were dimes, she'd have $2.10. But she has 90 more cents than that. Now for each coin that's a quarter, not a dime, she has 15 cents more. 90/15= 6. So there are 6 quarters, and 21-6 = 15 dimes.

Now we do it backwards to see if it's right. 6 quarters is $1.50, 15 dimes is $1.50, add those together and you get $3. So it's right. 6 quarters, 15 dimes.

6 0
3 years ago
Steven's family traveled 7/10 of the distance to his aunt’s house on Saturday. They traveled 2/3 of the remaining distance on Su
oksano4ka [1.4K]

Answer:

Step-by-step explanation:

Answer: 1/5 of the total distance to his grandmothers house was traveled on Sunday

The total distance to to his grandmothers house is assumed to be 1

Marks family traveled 7/10 of the distance to his grandmothers house on Saturday. The remaining distance would

1 - 7/10 = 3 /10

They traveled 2/3 of the remaining distance on Sunday. This means that the distance that they travelled on Sunday is

2/3 × 3/10 = 2/10 = 1/5

5 0
2 years ago
The ratio of boys to girls in Math class is 3:4. If there are 21 total students in class, how many more girls are in the class t
sergij07 [2.7K]
There should be 3 more girls than boys in the class (9 boys, 12 girls)
8 0
4 years ago
Read 2 more answers
What is the domain of the discrete finite function H(x)​
lesantik [10]

Answer:

A

Step-by-step explanation:

Domain here is where arrows begin. So, domain of this function is {4,5,6,8,9}.

Answer : A.

7 0
3 years ago
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