3x-17=7x-9
2 answers:
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As the question is unable to be understood/incomplete hence let's discuss the complete question (most probable question) and the answer for that.
Updated Question:
"A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, determine which system of inequality best explains whether the company can build 20 child bikes and 6 adult bikes in the week. No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100 Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100"
Answer:
Correct answer for this question is first option because it satisfies the first inequality but not the second one.
Step by Step Explanation:
<u>First Inequality:</u>
4(20)+6(6)≤120
80+36≤120
116≤120 ⇒ TRUE
<u>Second Inequality:</u>
4(20)+4(6)≤100
80+24≤100
104≤100 ⇒ FALSE
<u>Given</u>:
A conveyor belt carries bales of hay from the ground to the loft of a barn 27 feet above ground.
The belt makes an 30° angle with the ground.
We need to determine the distance that the bale of hay travel on the conveyor belt.
<u>Distance that the bale of hay travel on the conveyor belt:</u>
The distance that the bale of hay travel on the conveyor belt can be determined using the trigonometric ratio.
Let the distance that the bale of hay travel on the conveyor belt be x.
Thus, we have;
Substituting and
Thus, we get;
Simplifying, we get;
Thus, the value of x is 54 feet.
Hence, the distance that the bale of hay travel on the conveyor belt is 54 feet.