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inessss [21]
3 years ago
10

Olivia had math and reading homework tonight. Olivia can solve each math problem in 1 minute and she can read each page in 1.5 m

inutes. Olivia completed a total of 22 math problems and pages of reading in 30 minutes. Write a system of equations that could be used to determine the number of math problems Olivia solved and the number of pages she read. Define the variables that you use to write the system.
Mathematics
1 answer:
AlekseyPX3 years ago
6 0

Answer:

Step-by-step explanation:

Let a represent the the number of math problems that Olivia solved.

Let b represent the number of pages she read.

Olivia had math and reading homework tonight. Olivia can solve each math problem in 1 minute and she can read each page in 1.5 minutes. This means that she can solve a math problems in a minutes and read b pages in 1.5b minutes.

Olivia completed a total of 22 math problems and pages of reading in 30 minutes. This means that

a + 1.5b = 30

She completed a total of 22 math problems and pages of reading. This means that

a + b = 22

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Answer:

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Step-by-step explanation:

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-x=-11 change the signs on both sides of the equation

x=11

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Given two linear equations, explain how you can determine if the lines are parallel without graphing them
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4 years ago
3 1/4 - 1 3/8 (please help)
viva [34]

In fix fraction it will be, 1 7/8

and the exact answer is 15/8

and in decimal from it will be, 1.875

3 0
3 years ago
Read 2 more answers
What is the sum of the roots of the quadratic equation x²+6x-14=0?​
aivan3 [116]

Answer:

<h3>Sum of Roots =<u> (-8)</u><u> </u><u> </u></h3><h3>Product of Roots = <u> </u><u> </u><u>(-84)</u><u> </u><u> </u></h3>

Step-by-step explanation:

{x}^{2}  + 6x - 14 = 0

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Sum of the roots :

[6 + (-14)]

= (-8)//

Product of the roots :

[(6)(-14)]

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8 0
3 years ago
Water is added to a cylindrical tank of radius 5 m and height of 10 m at a rate of 100 L/min. Find the rate of change of the wat
nirvana33 [79]

Answer:

V = \pi r^2 h

For this case we know that r=5m represent the radius, h = 10m the height and the rate given is:

\frac{dV}{dt}= \frac{100 L}{min}

Q = 100 \frac{L}{min} *\frac{1m^3}{1000L}= 0.1 \frac{m^3}{min}

And replacing we got:

\frac{dh}{dt}=\frac{0.1 m^3/min}{\pi (5m)^2}= 0.0012732 \frac{m}{min}

And that represent 0.127 \frac{cm}{min}

Step-by-step explanation:

For a tank similar to a cylinder the volume is given by:

V = \pi r^2 h

For this case we know that r=5m represent the radius, h = 10m the height and the rate given is:

\frac{dV}{dt}= \frac{100 L}{min}

For this case we want to find the rate of change of the water level when h =6m so then we can derivate the formula for the volume and we got:

\frac{dV}{dt}= \pi r^2 \frac{dh}{dt}

And solving for \frac{dh}{dt} we got:

\frac{dh}{dt}= \frac{\frac{dV}{dt}}{\pi r^2}

We need to convert the rate given into m^3/min and we got:

Q = 100 \frac{L}{min} *\frac{1m^3}{1000L}= 0.1 \frac{m^3}{min}

And replacing we got:

\frac{dh}{dt}=\frac{0.1 m^3/min}{\pi (5m)^2}= 0.0012732 \frac{m}{min}

And that represent 0.127 \frac{cm}{min}

5 0
4 years ago
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