(7t-2) - (-3t+1) = -3*(1-3t)
First distribute:
7t-2+3t-1 = -3+9t
Now get all the terms with 't' on the same side by subtracting/adding:
7t+3t-9t = -3+2+1
Combine the terms:
1t=0
t=0
Check:
Plug in 0 for t and see if both sides of the equation come out the same:
Does (7(0)-2) - (-3(0)+1) = -3(1-3(0)) ?
(-2) - (1) = -3(1) ?
-3 = -3 ?
Yes! It works, so t=0!
Answer: v ≥ 6
This means that Adrian needs to do at least 6 visits.
Step-by-step explanation:
First, we know that he gets 20 points just for signing up, so he starts with 20 points.
Now, if he makes v visits, knowing that he gets 2.5 points per visit, he will have a total of:
20 + 2.5*v
points.
And he needs to get at least 35 points, then the total number of points must be such that:
points ≥ 35
and we know that:
points = 20 + 2.5*v
then we have the inequality:
20 + 2.5*v ≥ 35
Now we can solve this for v, so we need to isolate v in one side of the equation:
2.5*v ≥ 35 - 20 = 15
2.5*v ≥ 15
v ≥ 15/2.5 = 6
v ≥ 6
So he needs to make at least 6 visits.
The radius of the container is 2 centimeter
<h3><u>Solution:</u></h3>
Given that a container of candy is shaped like a cylinder
Given that volume = 125.6 cubic centimeters
Height of conatiner = 10 centimeter
To find: radius of the container
We can use volume of cylinder formula and obatin the radius value
<em><u>The volume of cylinder is given as:</u></em>

Where "r" is the radius of cylinder
"h" is the height of cylinder and
is constant has value 3.14
Substituting the values in formula, we get

Taking square root on both sides,

Thus the radius of the container is 2 centimeter