Answer:
See below.
Step-by-step explanation:
Here is one pair of angle of each type. There are more correct answers.
corresponding angles: <K, <O
alternate interior angles: <N, <P
alternate exterior angles: <I, <S
same-side interior angles: <N, <Q
vertical angles: <P, <R
supplementary angles: <J, <M
<span>A quarter is equivalent to 25 cents or $0.25 and a nickel is equal to 5 cents or $0.05. In the given in this item, if there are x nickels then, there are x + 7 quarters. With these and the total amount known, we can now compute for the value of x.
(x)(0.05) + (x + 7)(0.25) = 2.65
Simplifying,
0.05x + 0.25x + 1.75 = 2.65
Simplifying further,
0.3x = 0.9
The value of x from the equation is 3. Hence, there are 10 quarters.</span>
Simplify. Combine like terms
12x - 9x = 3x
7 - 15 = -8
3x - 8 is your answer
hope this helps
1. We need to find how many times John Jogger went to the gym.
He goes 2x weekly for 13 weeks.
13 x 2 = 26 times in the first 3 months.
We still have another 9 months left. He goes twice monthly for each month.
9 x 2 = 18.
We add the total times he went to the gym for the first 3 months to the other 9 months in the year.
26 + 18 = 44 times in one year. If we repeat this for 3 years, you get 44 x 3 = 132 gym visits in three years.
The gym membership is $395 per year. For three years this is 395 x 3 = $1185.
He went to the gym 132 times for a total of $1185. To find the price per visit, divide the total price by the amount of times he went to the gym.
1185/132 = ~$8.98 per gym visit.
2. If 13 weeks = 3 months (1/4 of a year), then there are 52 weeks per year.
If he goes twice every week for 52 weeks, that's 52 x 2 = 104 times per year. If he kept this up for three years, that's 104 x 3 = 312 gym visits in three years.
At the price we found earlier of $1185 for a three-year membership, divide the price by the total number of visits to find the price per visit.
1185/312 = ~$3.80 per gym visit.
