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PolarNik [594]
3 years ago
5

Karen is going on a hike to the top of a mountain. It will take 3 hours and 10 minutes to hike up the mountain and 1 hour and 25

minutes to hike back down. If Karen wants to finish the hike by 2:50 P.M., what is the latest time she can start the hike up the mountain?
Mathematics
1 answer:
Ainat [17]3 years ago
3 0

Answer:

10:15

Step-by-step explanation:

If you add 3hr 10 min with 1 hr 25 min its 4 hrs 35 min 2:50-4 hr 35 min is 10:15.

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fiasKO [112]

Answer:

Square

Step-by-step explanation:

a plane figure with four equal straight sides and four right angles.

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2 years ago
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22. Solve for x.<br> 95°<br> +9<br> 24°
blondinia [14]

Answer:

I would say its 24 hope this helps

4 0
3 years ago
Find the solution of the given initial value problem in explicit form. y′=(1−5x)y2, y(0)=−12 Enclose numerators and denominators
Nata [24]

Answer:

The solution is y=-\frac{12}{12x-30x^2+1}.

Step-by-step explanation:

A first order differential equation y'=f(x,y) is called a separable equation if the function f(x,y) can be factored into the product of two functions of x and y:

f(x,y)=p(x)h(y)

where p(x) and h(y) are continuous functions.

We have the following differential equation

y'=(1-5x)y^2, \quad y(0)=-12

In the given case p(x)=1-5x and h(y)=y^2.

We divide the equation by h(y) and move dx to the right side:

\frac{1}{y^2}dy\:=(1-5x)dx

Next, integrate both sides:

\int \frac{1}{y^2}dy\:=\int(1-5x)dx\\\\-\frac{1}{y}=x-\frac{5x^2}{2}+C

Now, we solve for y

-\frac{1}{y}=x-\frac{5x^2}{2}+C\\-\frac{1}{y}\cdot \:2y=x\cdot \:2y-\frac{5x^2}{2}\cdot \:2y+C\cdot \:2y\\-2=2yx-5yx^2+2Cy\\y\left(2x-5x^2+2C\right)=-2\\\\y=-\frac{2}{2x-5x^2+2C}

We use the initial condition y(0)=-12 to find the value of C.

-12=-\frac{2}{2\left(0\right)-5\left(0\right)^2+2C}\\-12=-\frac{1}{c}\\c=\frac{1}{12}

Therefore,

y=-\frac{2}{2x-5x^2+2(\frac{1}{12})}\\y=-\frac{12}{12x-30x^2+1}

4 0
3 years ago
Maria bought 5 tickets for $20 each. Each ticket had a $2 fee. Write an expression that shows how much Maria paid for the ticket
Tanya [424]

The algebraic expression which shows how much Maria paid for the tickets including the additional fee is y = 20(5) + 2(5)

<h3>Algebraic expression to show how much Maria paid for the tickets</h3><h3 />
  • Number of tickets Maria bought = 5
  • Cost of each tickets = $20
  • Additional fee per tickets = $2

let

  • Total amount Maria paid for the tickets = y

Total amount Maria paid for the tickets = Cost of each tickets(Number of tickets Maria bought) + Additional fee per tickets(Number of tickets Maria bought)

y = 20(5) + 2(5)

y = 100 + 10

y = $110

Therefore, the algebraic expression which shows how much Maria paid for the tickets including the additional fee is y = 20(5) + 2(5)

Read more about algebra expression:

brainly.com/question/2972832

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7 0
1 year ago
Lisa's store collects 5% sales tax on every item sold. If she collected $22.00 in sales tax, what was the cost of the items her
myrzilka [38]
I did the math and i got 440
3 0
3 years ago
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