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Answer:
50 nickels, 20 quarters.
Step-by-step explanation:
System of equations (q = # of quarters, n = # of nickels):
<em>q + n = 70, 0.25q + 0.05n = 7.50</em>
the first equation can be changed to q = 70 - n, so we are able to <em>substitute q with 70 - n</em>.
So, it will look like <em>0.25*70 - 0.25n + 0.05n = 7.50</em>. This can be simplified to <em>0.2n = 10</em>, which means that n = 50.
Knowing that we can solve <em>q + 50 = 70</em>, which means that q = 20.
Answer:
Part 1) 
Part 2) 
Part 3) 
Step-by-step explanation:
step 1
Find the measure of length side FG
In the right triangle EFG
we know that
----> by SOH (opposite side divided by the hypotenuse)
substitute the given values


step 2
Find the measure of length side EF
In the right triangle EFG
we know that
----> by CAH (adjacent side divided by the hypotenuse)
substitute the given values


step 3
Find the measure of angle G
we know that
---> by complementary angles in a right triangle

Answer: 829 3/4 or 829 75/100
Step-by-step explanation:
Answer:
Step-by-step explanation:
1. Make 1 2/7 an improper fraction = 9/7
2. Multiply 7 on both numerator and denominator for 2/3 to make 14/21, and multiply 3 for both numerator and denominator for 9/7 to make 27/21.
3. Add them together. 14/21+27/21=41/21.
4. (Optional) If the question is asking for mixed numbers, 41/21 = 1 20/21.