Answer:
<em>The slope of the line</em> 3.
Step-by-step explanation:
The line is going through 3. Although<em> it is not -3,</em> because if the line is <em>sloping upward from left to right,</em> then the slope is <em>positive (+)</em>. If the line is <em>sloping downward from left to right,</em> the slope is <em>negative (-).</em>
Answer:
60
Step-by-step explanation:30+30
Answer:
25 seconds
Step-by-step explanation:
You have a rate of:
![\dfrac{1}{5}gal/s](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B5%7Dgal%2Fs)
And you want to find how many seconds it would take to fill in 5 gallons of water. Using the rate, we use it as a conversion factor from rate to seconds:
![5gal\times\dfrac{1sec}{\frac{1}{5}gal}=\dfrac{5sec}{\frac{1}{5}}=25sec](https://tex.z-dn.net/?f=5gal%5Ctimes%5Cdfrac%7B1sec%7D%7B%5Cfrac%7B1%7D%7B5%7Dgal%7D%3D%5Cdfrac%7B5sec%7D%7B%5Cfrac%7B1%7D%7B5%7D%7D%3D25sec)
Answer:
David receives £90
Step-by-step explanation:
Let David's share be D
Let Mark's share be M
Let Henry's share be H
From the question, we obtained the following data:
David gets twice as much as Mark i.e
D = 2M
M = D/2
Mark gets three times as much as Henry i.e
M = 3H
H = M/3
H = (D/2) /3
H = D/6
The sum of their shares is £150 i.e
D + M + H = 150
D + D/2 + D/6 = 150
Multiply through by 6 to clear the fraction
6D + 3D + D = 900
10D = 900
Divide both side by the coefficient of D i.e 10
D = 900/10
D = 90
Therefore, David receives £90