Answer:
The number of machines to complete job in 2 hours is 6.
Step-by-step explanation:
Using the relation of the rate of each one machine and knowing that adding up both rates.
Rate R = 
'x' is the job
Rate S = 
'x' is the job
So, using the equation of rates
Rate total is going to be a job in 2 hours so = 
<em>adding up</em>
<em>factoring the x</em>
<em>simplifying</em>
x= 
x= 6
let's firstly convert the mixed fractions to improper fractions and then add.
![\bf \stackrel{mixed}{2\frac{7}{10}}\implies \cfrac{2\cdot 10+7}{10}\implies \stackrel{improper}{\cfrac{27}{10}}~\hfill \stackrel{mixed}{8\frac{1}{2}}\implies \cfrac{8\cdot 2+1}{2}\stackrel{improper}{\cfrac{17}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{27}{10}+\cfrac{17}{2}\implies \stackrel{\textit{using an LCD of 10}}{\cfrac{(1)27+(5)17}{10}}\implies \cfrac{27+85}{10}\implies \cfrac{112}{10}\implies \cfrac{56}{5}\implies 11\frac{1}{5}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B2%5Cfrac%7B7%7D%7B10%7D%7D%5Cimplies%20%5Ccfrac%7B2%5Ccdot%2010%2B7%7D%7B10%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B27%7D%7B10%7D%7D~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B8%5Cfrac%7B1%7D%7B2%7D%7D%5Cimplies%20%5Ccfrac%7B8%5Ccdot%202%2B1%7D%7B2%7D%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B17%7D%7B2%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7B27%7D%7B10%7D%2B%5Ccfrac%7B17%7D%7B2%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Busing%20an%20LCD%20of%2010%7D%7D%7B%5Ccfrac%7B%281%2927%2B%285%2917%7D%7B10%7D%7D%5Cimplies%20%5Ccfrac%7B27%2B85%7D%7B10%7D%5Cimplies%20%5Ccfrac%7B112%7D%7B10%7D%5Cimplies%20%5Ccfrac%7B56%7D%7B5%7D%5Cimplies%2011%5Cfrac%7B1%7D%7B5%7D)
Answer:
Step-by-step explanation:
<u>Area formula</u>
- A = 1/2(b1 + b2)h
- A = 1/2(8 + 2.2)*4 = 10.2*2 = 20.4 in²
Answer:
5√3 ft
Step-by-step explanation:
If the ladder is 10ft tall, then that represents the hypotenuse. If the foot of our ladder is 5ft away from the wall, that is a side length that we know. Using the Pythagorean Theorem, a²+b²=c², where a and b are side lengths of a right triangle, and c is the hypotenuse, we can solve for the missing side length:
a²+b²=c²
(5)²+b²=(10)²
25+b²=100
b²=75
b=√75
b=5√3
So the ladder will reach a height of 5√3 ft.
Answer:
1.75 tons, one ton is 2000 pounds, and there are 1500 pounds left which is .75 of a ton. Hope this helps!
