Answer:
2.4 hours
Step-by-step explanation:
Because 1 hour Randy clean 1/4 of the room and Trey is 1/6. So we add both together and get that they clean 5/12 of the office in one hour. So 2.4 hours is the greatest amount of time it would take them to clean offices together
Answer:
D: {9, 21, 33}
Step-by-step explanation:
Ken worked 2, 8 and 14 hours on 3 separate days.
For working 2 hours, his earnings were f(2) = 2(2) + 5, or 9;
For working 8 hours, his earnings were f(28) = 2(8) + 5, or 21; and
For working 14 hours, his earnings were f(14) = 2(14) + 5, or 33
Thus, the range of this function for the days given is {9, 21, 33} (Answer D)
Answer:
It can either be rational or irrational
Step-by-step explanation:
Given the quadratic equation ax²+bx+5 = 0, to get the zeros of the function, we will factorize the function to have;
ax²+bx = -5
x(ax+b) = -5
x = -5 and ax+b = -5
From the second function we have;
ax+b = -5
ax = -5-b
x = -5-b/a
This shows that the other value of x can be rational or irrational depending on the values of a and b
If we let x be the number of votes then, Brody got x/3 votes from his teammates. Below are the calculation for Darren and James.
Darren = 0.5(x/3) = x/6
James = 3(x/6) = x/2
From the answers, x/3, x/6, and x/2, the least is x/6 followed by x/3, and finally x/2. In order of the persons who garnered the least to greatest votes, the answer would be
Darren, Brody, and James
We are given ratio nickel to zinc to copper = 2:7:9.
From this ratio we can see that <em>ratio of nickel to zinc is 2:7</em>.
Let us assume number of pounds of nickel have to be used to create alloy that contains 4.9 lb of zinc is x pounds.
So, we can setup a proportion as :
x : 4.9 = 2:7
Or
On cross multiplication, we get
7x= 4.9× 2
7x = 9.8
Dividing both sides by 7, we get
x = 1.4.
<h3>Therefore, 1.4 pounds of nickel have to be used to create alloy that contains 4.9 lb of zinc.</h3><h3 />
