Answer:
Number of push up = 8 + 2x
Step-by-step explanation:
Keenan can do 8 push ups each day. He plans to do 2 extra day until he is doing 30 push ups. Each day he does an additional 2 push up, on the first day he does 8 + 2 = 10 push up, on the second day he does 10 + 2 = 12 push ups. This can be represented by the expression:
Number of push up = 8 + 2x
where x is the number of days.
To do 30 push ups, we can calculate the number of days needed:
30 = 8 + 2x
2x = 30 - 8
2x = 22
x = 11
Answer:
The number of hot beverages = 45 and number of cold beverages = 180
Step-by-step explanation:
We have to write the equation of hot and cold beverages and find how many of each were sold.
Cost of cold beverage = $1.50
Cost of hot beverage = $2.00
The total cost of beverages on that day totaled to be $360.
We are also told that the number of cold beverages sold is 4 times as many hot beverages.
Let number of hot beverages = x
Cold beverages = 4x
Total cost = $360
= 360
8x = 360
x = 
x = 45
The number of hot beverages = 45 and number of cold beverages = 180
Answer:
The score of the dropped grade is 6
Step-by-step explanation:
To find the average of a set of numbers you need to add all the numbers and divide by how many numbers there are. The problem wants you to solve it in reverse. Let put this into an algebraic equation with a, b, c, d, and e being the variables of the test scores
(a+b+c+d+e)/5=10
Then we can multiply both sides by 5 and get
a+b+c+d+e=50
Lets assume that c is the lowest test score. To calculate the average of that we get
a+b+d+e/4=11
Doing the same thing, we know that a+b+d+e=44
Now compare the two:
a+b+c+d+e=50
a+b+d+e=44
We can now know that c=50-44=6
So, 6 is the score of the dropped quiz. Hope that helped!
Answer:
Hope this helps!
Step-by-step explanation:
Area = π · r2 = 3.14 · 2.62 = 21.24 square inches.