Answer:
Angle ABC =70
Step-by-step explanation:
Divide 140 by 2 and apply the rule of alternante interior angles
Account A
A=p+i
A=25,000+(925×5)
A=29,625
Account B
A=p(1+rt)
A=25,000×(1+0.065×5)
A=33,125
How much more did the account B earn
33,125−29,625
=3,500
Answer:
Charlie has used his phone in a month for at least 1404 minutes
Step-by-step explanation:
In order to solve this problem, we must first determine what will our variable be and what it will represent.
Let's say our variable is x and it will represent the number of minutes Charlie has used his phone.
After we set our variable up, we can set our equation up. The problem states that Charlie will pay a monthly fee of $18 and additional $0.06 per minute of use. The $18 is what is called a fixed cost and the $0.06 is the variable cost, which will depend on our variable x (the number of minutes spent). Taking this into account we can build an inequality that will represent the amount of money spent in a month, which will look like this:

so now we can solve that inequality for x, we can start by subtracting 18 from both sides, so we get.

Next, we can divide both sides of the inequality by 0.06 so we get:

so that's where the answer came from. Charly has used an amount of at least 1404 minutes
Hello there!
For this you simply need to give both fractions a common denominator!
The easiest way to do this specific problem would be to make the denominator 12. Why 12? Because 4 x 3 = 12.
So:
1/4 --> ?/12 --> 1 (3) / 12 --> 3/12
2/3 --> ?/12 --> 2 (4) / 12 --> 8/12
Total amount of time means the sum (adding them together).
When adding fractions, you MUST have a common denominator! (Which is what we just did).
So 3/12 + 8/12 = (8+3) / 12 = 11/12 hours
Notice how the denominator stayed the same? When adding/subtracting fractions, the denominator stays the same! :)
Hope this helped!
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Answer:
1. f(x,y) = (x, -y) 2. f(x,y) = (-x,y).
Step-by-step explanation:
I hope that helps