Answer:
x=39
Step-by-step explanation:
First I try to find the angle measurements for the rest of the angles inside the triangle. I saw that the 68 degrees and I notice that it was vertical angles, meaning that the inside is also 68. I then notice that the 107 and the other unknown angle besides x must be 180 when adding up, so I can do 180-107=73. Now I know that that angle is 73 degrees I can find x by solving this equation 180=73+68+x, which the answer comes out to be 39. so x=39.
Hope this helps you
Answer:
the number of deliveries would be 13
And, the equation is d ≥ 12.50
Step-by-step explanation:
The inequality function is given below:
Let us assume the d be the number of deliveries
10 × 8 + 6 × d ≥ 155
80 + 6d ≥ 155
6d ≥ 155 - 80
6d ≥ 75
d ≥ 75 ÷ 6
d ≥ 12.50
hence, the number of deliveries would be 13
And, the equation is d ≥ 12.50
D is the answer for this question:))
Answer:
216 animals
Step-by-step explanation:
Let n represent the number of each type of animal.
Since there are two horses for every horse trough, then n must be divisible by 2. Since there are three cows for every cow trough, then n must be divisible by 3. Since there are eight pigs for every pig trough, then n must be divisible by 8. Therefore, n must be divisible by 2, 3 and 8. The smallest number divisible by 2, 3, and 8 is 24. (This number is called the lowest common multiple or LCM, for short.)
If there are 24 of each kind of animal, there would be 24 ÷ 2 = 12 troughs for horses, 24 ÷ 3 = 8 troughs for cows and 24 ÷ 8 = 3 troughs for pigs. This would require a total of 12 + 8 + 3 = 23 troughs. Since there are 69 troughs and
69 ÷ 23 = 3, we require 3 times more of each type of animal. That is, there would be 24 × 3 = 72 of each type of animal. The total number of animals is 72+72+72 or 216.
Therefore, McDonald has 216 animals.
Hope this helps :)
