3 years ago

Use distributive property to write an equivalent expression 21P +35Q

Mathematics

1 answer:

Reptile [31]3 years ago

7 0

21P +35Q
=7(3P + 5Q)

hope that helps

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A small orchestra has 3 stringed instruments. What is the ratio of violins to cellos?

mylen [45]

Violin to Celio.

Violin : Celio

Violin = 6

Celio = 5

6:5

D. 6/5

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3 years ago

Which of the following is the solution to the differential equation dP/dt+P=10 with the initial condition P(0)=4

Ber [7]

Answer:

Option C. $P=10-6e^{-t}$

Explanation:

1. Separate variables:

$\dfrac{dP}{dt}+P=10\\ \\ \\ \\\dfrac{dP}{dt}=-P+10\\ \\ \\ \dfrac{dP}{-P+10}=dt$

2. Find the indefinite integrals

$-\ln{(10-P)}=t+C$

3. Solve for P

$10-P=e^{-t+C}\\ \\ 10-P=Ke^{-t}\\ \\ P=10-Ke^{-t}$

4. Use the initial condition, P(0) = 4, to find K:

4 = 10 - K(e⁰)

4 = 10 - K

K = 10 - 4

K = 6

5. Substitute K = 6 into the integrated equation:

$P=10-6e^{-t}$

That is the option C.

4 0

3 years ago

Use the distributive property to write the expression without parentheses. 3(5a+4)

Viefleur [7K]

Answer:

15a + 12

Step-by-step explanation:

3*5a=15a

3*4=12

=15a+12

3 0

3 years ago

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A square has one side that is 7 inches long. What is the area of the square?

Anna007 [38]

Answer:

Step-by-step explanation:

with a square all sides are equal so if one side is 7 the other is 7 so you would do 7 * 7

hope this helps

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Of the 200 students in the school, 79% can play an instrument. How many students cannot play

lozanna [386]

The number of students who can’t play is 42

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