What is the maximum number of chairs and tables Ben can make in a month.
Answer:
Maximum number of tables he can make per month = 100 tables
Maximum number of chairs he can make per month = 400 chairs
Step-by-step explanation:
He is not able to make more than 500 pieces of furniture per month
Also, he needs to make at least 25 tables and at least 100 chairs each month.
x is number of tables and y is number of chairs per month.
Thus, inequality to represent this is;
x + y ≤ 500
Constraints are;
x ≥ 25
y ≥ 100
Since minimum is 25 tables and 100 chairs, we say that 1 table would need 100/25 = 4 chairs
Thus, ratio of tables to chairs should always be 1:4
Thus,
Maximum number of tables per month = 1/5 × 500 = 100 tables
Maximum number of chairs per month = 4/5 × 500 = 400 chairs
Here are examples which will explain:
5 x 10= 50 therefore what we did here was 5.0 and we just moved the decimal to the right by making it a bigger number because it is multiplication
6x100= 600, here we also moved the decimal to the right 2 times because there are 2 zeros
7x 1000= 7000 we moved the decimal 3 times to the right because it has 3 zeros
Now for division
If we do 5 divided by 10 that would be 0.5 because there is one 0 and that means we move the decimal to the left once.
6 divided by 100= 0.06 we moved the decimal to the left 2 times because there are 2 zeros so basically in conclusion we do the same thing in division and multiplication with 10,100,1000,10000 but we just move the decimal to the left in division and move decimal to the right in multiplication.
Hope that helps!
Answer:
It should be C
Step-by-step explanation:
Substituting in a value of x,
4 * ( 1/2 )^x 4 * ( 1/2 )^x
= 4 * ( 1/2 )^ 2 = 4 * ( 1/2 )^ -2
= 4 * 1/4 = 4 * 4
= 1 = 16
C checks out, and all the other options don't equal to the values on the table.
