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QveST [7]
3 years ago
5

Each student wrote a two-step equation. Peter wrote the equation 6x − 2 = 11, and Andres wrote the equation 24x − 8 = 44. The te

acher looked at their equations and asked them to compare them. Complete the description of one way in which the equations are similar.
Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
5 0
They are essentially the same equation. Andre's equation is the same as Peter's, just all the numbers are multiplied by 4. Both equations have the same answer, which is 13/6, or 2.167.
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Solve the compound inequality: 4 < 3x – 1 < 20​
Nataliya [291]

Answer:

x = (5/3 , 7)

Step-by-step explanation:

4 0
3 years ago
What are some methods to finding the distance between A and B
Wittaler [7]
Are a and b two points on a line
If they are you can use the distance formula
6 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
60 EXTRA POINTS!!!! I need help with writing an inequality for a graph. It is below. :)
ch4aika [34]

Answer:

The answer to your question is:   y ≥ - x + 6  and   y ≥ x - 4

Step-by-step explanation:

Look of a pairs of points for each graph

Line 1                                                  Line 2

A(0, 6)     B (5, 1)                                 C (7,3)               D(5, 1)

m =  (1- 6) / (5- 0)                               m = (1 - 3) / (5 - 7)  

m = -5/5 = -1                                      m = -2 / -2 = 1

Find  the line equation for each slope   (y - y1) = m (x - x1)

(y - 1) = -1 (x - 5)                                 (y - 1) = 1 (x - 5)

y - 1 = -x + 5                                       y -1 = x - 5

y = -x + 5 + 1                                       y = x - 5 + 1

y = -x + 6                                           y = x - 4

Inequality

y ≥ - x + 6                                          y ≥ x - 4

8 0
3 years ago
Which function represents a quantity growing exponentially?
Lelechka [254]

Answer: c

Step-by-step explanation:

4 0
3 years ago
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