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3 years ago

What is 5/2 divided by 2/5

Mathematics

1 answer:

Len [333]3 years ago

6 0

Answer: 6 and 1/4

Step-by-step explanation: To solve this problem, we first leave 5/2 alone so don't do anything to it.

For our second fraction, we want to switch the numerator and the

denominator which means find the reciprocal of it.

The reciprocal of 2/5 is just the opposite of it when

you flip it and it's going to be 5/2.

Because we did the opposite there, we need to do the opposite

of division and the opposite of division is multiplication.

So now we have 5/2 × 5/2 which is 25/4 or 6 and 1/4.

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Simplify <br> -4(11+4n)-3(-2n+9)

nignag [31]

Answer:

-71-10n

Step-by-step explanation:

-4(11+4n)-3(-2n+9)

-44-16n+6n-27

-44-27-10n

-71-10n

4 0

3 years ago

Please helpp pleaseee

Elena L [17]

Answer:

i belive it is 900

Step-by-step explanation:

(n-2)180

(7-2)180

(5)180

900

5 0

4 years ago

Solve the initial value problem

tigry1 [53]

$9(t+1)\dfrac{\mathrm dy}{\mathrm dt}-7y=14t\implies\dfrac{\mathrm dy}{\mathrm dt}-\dfrac7{9(t+1)}y=\dfrac{14t}{9(t+1)}$

Look for an integrating factor $\mu(t)$ :

$\ln\mu=\displaystyle-\frac79\int\frac{\mathrm dt}{t+1}=-\frac79\ln(t+1)\implies\mu=(t+1)^{-7/9}$

Multiply both sides by $\mu$ :

$(t+1)^{-7/9}\dfrac{\mathrm dy}{\mathrm dt}-\dfrac79(t+1)^{-16/9}y=\dfrac{14}9t(t+1)^{-16/9}$

Condense the left side as the derivative of a product:

$\dfrac{\mathrm d}{\mathrm dt}\left[(t+1)^{-7/9}y\right]=\dfrac{14}9t(t+1)^{-16/9}$

Integrate both sides:

$(t+1)^{-7/9}y=\displaystyle\frac{14}9\int t(t+1)^{-16/9}\,\mathrm dt$

For the integral on the right, substitute

$u=t+1\implies t=u-1\implies\mathrm dt=\mathrm du$

$\displaystyle\int t(t+1)^{-16/9}\,\mathrm dt=\int(u-1)u^{-16/9}\,\mathrm du$

$\displaystyle=\int\left(u^{-7/9}-u^{-16/9}\right)\,\mathrm du=\frac92u^{2/9}+\frac97u^{-7/9}+C$

$\implies(t+1)^{-7/9}y=\dfrac{14}9\left(\dfrac92(t+1)^{2/9}+\dfrac97(t+1)^{-7/9}+C\right)$

$\implies(t+1)^{-7/9}y=7(t+1)^{2/9}+2(t+1)^{-7/9}+C$

$\implies y=7(t+1)+2+C(t+1)^{7/9}=7t+9+C(t+1)^{7/9}$

Given that $y(0)=12$ , we get

$12=9+C\implies C=3$

$\implies\boxed{y(t)=7t+9+3(t+1)^{7/9}}$

6 0

3 years ago

Suppose each cube in this right rectangular prism is a 1/2-inch unit cube.

kirill [66]

Answer:

other hooman is correct

Step-by-step explanation:

6 0

3 years ago

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HELP ASAP! DUE AT 10:30 AM EST PLEASE SHOW YOUR WORK / HOW YOU GOT THE ANSWER STEP BY STEP

kiruha [24]

Step-by-step explanation:

$\frac{1}{3 } - \frac{2y}{9} = 19 \\ \frac{3 - 2y}{9} = \frac{171}{9} \\ 3 - 2y = 171 \\ 2y = 3 - 171 \\ 2y = - 168 \\ y = - 168 \div 2 \\ y = - 84$

3 0

3 years ago

Read 2 more answers