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3 years ago

5

Tom earns 12$ a week mowing lawns he spends 1/4 of his earnings on lunch and 1/2 of his earnings on music. He saves the rest. Ho

w many fillers does Tom have now? Tell how you found your answer

1 answer:

densk [106]3 years ago

4 0

3$

Step-by-step explanation:

12$-(12$:4+12$:2)=12$-(3$+6$)=12$-9$=3$ Hope this helped!

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Be trying for a while can’t find the corrected answer!

DiKsa [7]

Add 7.2 each time until you get to 102

6 0

4 years ago

The general solution of 2 y ln(x)y' = (y^2 + 4)/x is

Sav [38]

Replace $y'$ with $\dfrac{\mathrm dy}{\mathrm dx}$ to see that this ODE is separable:

$2y\ln x\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{y^2+4}x\implies\dfrac{2y}{y^2+4}\,\mathrm dy=\dfrac{\mathrm dx}{x\ln x}$

Integrate both sides; on the left, set $u=y^2+4$ so that $\mathrm du=2y\,\mathrm dy$ ; on the right, set $v=\ln x$ so that $\mathrm dv=\dfrac{\mathrm dx}x$ . Then

$\displaystyle\int\frac{2y}{y^2+4}\,\mathrm dy=\int\dfrac{\mathrm dx}{x\ln x}\iff\int\frac{\mathrm du}u=\int\dfrac{\mathrm dv}v$

$\implies\ln|u|=\ln|v|+C$

$\implies\ln(y^2+4)=\ln|\ln x|+C$

$\implies y^2+4=e^{\ln|\ln x|+C}$

$\implies y^2=C|\ln x|-4$

$\implies y=\pm\sqrt{C|\ln x|-4}$

4 0

3 years ago

A travel agent is booking trips for tourists who travel from New York to Chicago. Tourists have three choices for how to travel

Hitman42 [59]

List all the different combinations with total cost:

Airplane + van = 350 + 60 = $410

Airplane + cab = 350 + 40 = $390

Bus + van = 150 + 60 = $210

Bus + cab = 150 + 40 = $190

Train + van = 225 + 60 = $285

Train + cab = 225 + 40 = $265

There are 6 different combinations.

There are 2 that are more than $300

The probability would be quantity higher than 300 / total combinations.

Probability = 2/6 = 1/3

4 0

3 years ago

Write 420 as a product 9f prime numbers

stich3 [128]

Answer:

2, 2, 3, 5, 7 that is the farthest you can go

Step-by-step explanation:

2,2,3,5,7 prime factorization of 420 but impossible to get 9 factors

5 0

3 years ago

Whats the cost of each vegetable if 5 squash and 2 zucchini is $1.32

alex41 [277]

Answer:

Step-by-step explanation:

We first need to define a couple of variables. Let s = the cost of 1 squash and z = the cost of 1 zucchini.

Now lets translate the words into algebra:

"The cost of 5 squash and 2 zucchini is $1.32" ===> 5s + 2z = 1.32

"Three squash and 1 zucchini cost $0.75" ===> 3s + z = 0.75

There are several ways to solve systems of equations. Let's use substitution. We can find what z equals in terms of s by manipulating the second equation:

3s + z = 0.75

-3s -3s

------------ -------------

z = -3s +0.75

Now lets substitute (-3s + 0.75) into the first equation for z, then solve for s:

5s + 2(-3s + 0.75) = 1.32

Can you handle it from here?

(Hint: Once you have solved for s, you can substitute that value back into either of the equations and solve for z.)

3 0

4 years ago