Step-by-step explanation:
$20/hr carpenter pay
$25/hr blacksmith pay
Let c = hours working carpentry
Let b = hours working as blacksmith
c + b = 30 {equation 1}
20c + 25b = 690 {equation 2}
In equation 1 solve for one variable in terms of the other.
c = 30-b
Substitute that into equation 2:
20(30-b) + 25b = 690
600 - 20b + 25b = 690
5b = 90
b = 90/5
b = 18 hours working as a blacksmith
c = 30-b = 30-18 = 12 hours as a carpenter
Answer:
15.072
Step-by-step explanation:
Circumference = πD
= 4.8π
= 15.079644737231
You have to pick at least one even factor from the set to make an even product.
There are 3 even numbers to choose from, and we can pick up to 3 additional odd numbers.
For example, if we pick out 1 even number and 2 odd numbers, this can be done in

ways. If we pick out 3 even numbers and 0 odd numbers, this can be done in

way.
The total count is then the sum of all possible selections with at least 1 even number and between 0 and 3 odd numbers.

where we use the binomial identity
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Answer:
c = 50
Step-by-step explanation:
We can set up an equation using the vertical angles theorem.
97 = 2c-3
100 = 2c
c = 50