Answer:
100 blocks.
Step-by-step explanation:
Let x represent number of blocks built by Gage.
We have been given that Colton was 5 times as fast at building the castle than Gage, so number of blocks built by Colton would be 
.
We are also told that it takes 120 blocks to build the castle. Since Colton and Gage were building a castle together, so number of blocks built by both will be equal to 120.
Number of blocks built by Colton: 
.
Therefore, Colton had build 100 blocks.
Step-by-step explanation:
a+b+c=22
abc=?
2+3+17=22
2×3×17=102
Do 91/7 (divide) and you will get your answer. So 91 divided by 7 is 13. Sylvia worked 13 hours that week in turn she earned $91
Yes it is.
2/3
2*3 / 3*3
6/9
7/9 > 6/9 = 2/3
7/9 > 2/3
Answer: Yes, 7/9 > 2/3
Answer:
Correct answer: n₁ = 8 and n₂ = 5
Step-by-step explanation:
If i understand correctly you claim that the first number by three is greater than the second.
We will form a system of equations according to the given data
Let be first positive integer n₁ and second n₂
n₁ = n₂ + 3
2 n₂² + 3 n₁ = 74
If we replace the first number n₁ = n₂ + 3 in the second equation, we get:
2 n₂² + 3 (n₂ + 3) = 74 ⇒ 2 n₂² + 3 n₂ + 9 = 74 ⇒
2 n₂² + 3 n₂ - 65 = 0
n₁₂ = (-b ±√b² - 4 a c) / 2 a
n₁₂ = (-3 ±√3² - 4 · 2 · (-65)) / 2 · 2 = (-3 ±√9 + 520) / 4
n₁₂ = (-3 ±√529) / 4 = (-3 ± 23) / 4
We accept the positive solution
n₂ = (-3 + 23) / 4 = 20 / 4 = 5
n₂ = 5
n₁ = 5 + 3 = 8
n₁ = 8
God is with you!!!
