Answer:
6 weeks
Step-by-step explanation:
Set up a proportion where x is the amount of time with 12 pupils:
= 
Cross multiply and solve for x:
4x = 24
x = 6
So, it will take 12 pupils 6 weeks to complete the job.
Answer:
correct answer: Bob's hose required alone 33 hours and Jim's hose required alone 66 hours
Step-by-step explanation:
Given:
Bob's hose time = 50% of Jim's hose time ⇒
⇒ Jim's hose time = 2 · Bob's hose time
Let be x Bob's hose time and 2x Jim's hose time
The following equation will solve the problem:
1/x + 1/ 2x = 1/22
The common denominator for both fractions is 2x, so we will multiply the first fraction by the number 2 and get:
2/2x + 1/2x = 1/22 ⇒ 3/2x = 1/22 ⇒ x = 3 · 22 / 2 ⇒ x = 3 · 11 = 33 hours
Bob's hose time x = 33 hours and
Jim's hose time 2x = 66 hours
God is with you!!!
The lowest common denominator is 9/90 and 14/90, multiplying 1/10 by 9/9 and 7/45 by 2/2. I am assuming you know how to solve for LCD? If you don't I can explain in comments.
Answer:
(- 5, 2 )
Step-by-step explanation:
Under a reflection in the line y = x
a point (x, y ) → (y, x ), thus
(2, - 5 ) → (- 5, 2 )
To find it, evaluate it at the endpoints and the vertex
in form
f(x)=ax²+bx+c
the x value of the vertex is -b/2a
given
c(t)=1t²-10t+76
x value of vertex is -(-10)/1=10
evaluate c(0) and c(13) and c(10)
c(0)=76
c(13)=115
c(10)=76
it reached minimum in 2000 and 2010
porbably teacher wants 2010
the min value is $76
