For this case, the first thing we must do is define variables.
We have then:
b: number of booths
t: number of tables
We write the expression that models the problem.
We know that 5 of the booths are full.
Therefore, the available space is:
Rewriting we have:
Simplifying we have:
Answer:
An expression that matches the situation is:
Answer: 20:60, 12:36, 2:6
Step-by-step explanation: All you need to do is look at the numbers and see which 3 are equivalent to 4:12.
Answer:
16. x = 18
17. y = 7.5
18. z = 7
Step-by-step explanation:
16. Same-side interior angles are supplementary, so add to give 180°.
... (8x-7) + (3x-11) = 180
... 11x = 198 . . . . . . . . . . collect terms, add 18
... x = 18 . . . . . . . . . . . . divide by 11
17. Alternate interior angles are equal.
... (2y+23) = (4y+8)
... 15 = 2y . . . . . . . . . add -2y-8
... 7.5 = y . . . . . . . . . . divide by 2
18. Same-side interior angles are supplementary, or linear angles are supplementary. Either way, ...
... (3z² -5) + 38 = 180 . . . . . . . . we know 2y+23 = 2·7.5+23 = 38 from 17.
... 3z² = 147 . . . . . . . . . . . . . . . . subtract 33
... z² = 49 . . . . . . . . . . . . . . . . . . divide by 3
... z = 7 . . . . . . . . . . . . . . . . . . . . take the positive square root
Answer:
6
Step-by-step explanation:
20-14= 6
Please mark brainliest
For this problem, we are going to use the <em>law of sines</em>, which states:
In this case, we have an angle and two sides, and we are trying to look for the third side. First, we have to find the angle which corresponds with the second side, . Then, we can find the third side. Using the law of sines, we can find:
We can use this to solve for :
Now, we can find :
Using this, we can find :
c is approximately 17.5.