Answer:
The chemist needs to add 400mL of 40% solution.
Step-by-step explanation:
The equation
gives the percent concentration 
of the final mixture, when 
mL of the 40% solution are added.
Now we are asked, how many milliliters of the 40% solution should the chemist add to get final percent concentration 
; this is just a matter of solving the equation
and we solve it the following way:
Thus, the chemist needs 400mL of 40% solution to get 30% concentration of the final mixture.
Answer:
s≤4 cm.
Step-by-step explanation:
Let s be side of cube.
As we know that the volume of cube=side×side×side
Here, it is given that the volume of cube = 64 cubic centimeters.
or we can write
side×side×side=64 cubic centimeters
Taking cube root both sides
side= 4 cm
In order to build a cube with a minimum of 64 cubic centimeters,
we can take the value of s≤4 cm.
Hence, the reasonable range for s, the side length is s≤4 cm.
Answer: He can buy 12 shooters with $1. 20 red marbles with $1. 300 multicolored marbles.
Step-by-step explanation:
Shooters = 1 dollar is 60 cents
60 divided by 5 = 12
Red = 60 divided by 3
= 20
Multicolored = 60 x 5 because 1 for 5
= 300
P.S Not sure if my answer is correct.....
Step-by-step explanation:
it is a linear function, if the change in y is constant in relation to the changes of x.
in other words, if the slope y change/x change is the same for every point.
when we look at the table, we see x changes constantly by +2.
and y changes constantly by -6.
so, the change rate/slope is constantly -6/2 = -3.
and therefore it is a linear function.
the equation looks like (the slope is always the factor of x)
y = -3x + b
b we get by using one of the x,y pairs like 1,4
4 = -3×1 + b = -3 + b
b = 7
so, the full equation is
y = -3x + 7
The answer would be 17/4.
