To find the slope we will need to differentiate!
Step 1:
// let's take the derivative with respect to x
Since there is no x value specified there is an infinite number of slope values that we can input into this equation.
It would take them 8.5 hours.
Explanation:
Since they are painting the room together, they would basically each paint half of the room. So if they were painting half of the room each, it would take them half of the time that it would
normally take each of them. Half of Sally's time is 3.5 hours. And half of John's time is 5 hours. When you add them together, you get 8.5 hours.
Hope this helps!
let's firstly convert the mixed fractions to improper fractions and then multiply.
![\bf \stackrel{mixed}{3\frac{2}{5}}\implies \cfrac{3\cdot 5+2}{5}\implies \stackrel{improper}{\cfrac{17}{5}}~\hfill \stackrel{mixed}{2\frac{1}{3}}\implies \cfrac{2\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{7}{3}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{17}{5}\cdot \cfrac{7}{3}\implies \cfrac{119}{15}\implies 7\frac{14}{15}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B3%5Cfrac%7B2%7D%7B5%7D%7D%5Cimplies%20%5Ccfrac%7B3%5Ccdot%205%2B2%7D%7B5%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B17%7D%7B5%7D%7D~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B2%5Cfrac%7B1%7D%7B3%7D%7D%5Cimplies%20%5Ccfrac%7B2%5Ccdot%203%2B1%7D%7B3%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B7%7D%7B3%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7B17%7D%7B5%7D%5Ccdot%20%5Ccfrac%7B7%7D%7B3%7D%5Cimplies%20%5Ccfrac%7B119%7D%7B15%7D%5Cimplies%207%5Cfrac%7B14%7D%7B15%7D)
Answer:
3/14
Step-by-step explanation:
P (B then B) = 4/8 x 3/7 or 1/2 x 3/7
Answer:
h = 13ft
Step-by-step explanation:
We can assume that the triangles are similar, so:
5 ft is to 26 ft as 2.5 ft is to h ft.
Which can be set up like this:
We can cross multiply:
5h = (2.5) (26)
5h = 65
h = 13ft
