Answer:
12 pieces
Step-by-step explanation:
Total length of the board = 48 in
It must be divided into 4 pieces of equal length
This means, there will be 3 cut to have 4 pieces
Each cut will cause a waste of 3/16 in.
Total waste = 3 cut × 3/16 in
= (3*3)/16
= 9/16 in
Length of board remaining = Total length of the board - Total waste
= 48 - 9/16
= (768-9)/16
= 759/16 in
How long will each piece be after the cuts are made?
Length of each piece after the cut = Length of board remaining / 4
= 759/16 ÷ 4
= 759/16 × 1/4
= 759/64
= 11.859375
Approximately 12 pieces to the nearest whole number
Let's solve your equation step-by-step.
6.75+38x=1314
Step 1: Simplify both sides of the equation.
38x+6.75=534
Step 2: Subtract 6.75 from both sides.
38x+6.75−6.75=534−6.75
38x=132
Step 3: Multiply both sides by 8/3.
(83)*(38x)=(83)*(132)
x=523
Answer:
x=1713
Divide the second price by the second pounds. 9.95 / 5 = 1.99
So for every pound you get you pay 1.99 dollars. The second deal is better.
Answer:
Step-by-step explanation:
A. It costs $20 per adult. If this is a cost fuction, which it is because the wording is "the cost (in dollars) for a adults and c students", adult is a, the cost for 1 adult, 1a, is 20. That relates the number of adults to the cost of 1 adult.
It costs $13 per student. Again, this is a cost function, so since student is c, the cost for 1 student, 1c, is 13. That relates the number of students to the cost of 1 student.
B. The total cost for 4 adult and 24 students looks like this:
20(4) + 13(24) which is 80 + 312 = $392
C. If you have 3 adults and 3 students in your group, the cost is 20(3) + 13(3) which is $99. If you double the number of each, let's see if the cost doubles. We will "up" the numbers to 6 each. 20(6) + 13(6) = $198. Is $198 the double of $99. Yes it is. Let's do it again to check. Let's double the 6.
20(12) + 13(12) = $396, and $198 doubled does in fact equal $396. So there you go!
