Answer:
Carmen will have her loan payed off in 20 months.
Ramona will have her loan payed off in 25 months.
Step-by-step explanation:
Carmen: $800 loan; paying $40 a month
Divide $800 by $40 and you'll get 20 months
Ramona: $500 loan; paying $20 a month
Divide $500 by $20 and you'll get 25 months
The solution to the problem is as follows:
2x² - 7x = 3 can be re-written as 2x² - 7x - 3 = 0
<span>
Either by completing the square or using the quadratic formula this can be solved . </span>
<span>
Let's complete the square. </span>
<span>
2x² - 7x - 3 = 2(x² - 3.5x - 1.5) = 2(x - 1.75)² - 9.125....then we can put </span>
2(x - 1.75)² = 9.125 : (x - 1.75)² = 9.125/2 = 4.5625
x - 1.75 = √4.5625 ≈ ± 2.14
<span>x = 1.75 ± 2.14 .....thus x ≈ 3.89 and x ≈ - 0.39
</span>
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<h3>
Answer: 53/108</h3>
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Explanation:
- Step 1) add up all the values in the circles "drama" and "music". Those values are 51, 15, 12, 11, 7, 63. So we get 51+15+12+11+7+63 = 159. There are 159 students that are in drama, music, or both. Some take athletics as well, but we aren't concerned with that third class.
- Step 2) Divide 159 over the total number of juniors, which is 324. We get 159/324.
- Step 3) Reduce the fraction 159/324 to get the answer 53/108. You would divide both parts of 159/324 by the GCF 3. So we have 159/3 = 53 and 324/3 = 108
If you want the decimal approximation, then use a calculator to get roughly 53/108 = 0.4907, though your teacher wants the exact fraction form.
X=amount of money at first.
we can suggest this equation:
4/7 x=28
x=(28*7)/4
x=196/4
x=49
Answer: he have originally $49.
C. what is the combined time of all the runners.