Answer:
Step-by-step explanation:
d=√((4-4)²+(2.9-1.4)²)=√(0+(1.5)²)=1.5
Answer:
- <u>150 pieces of candies.</u>
Explanation:
In the graph each divsion on the x-axis represents 3 <em>students </em>and each division of the y-axis represents <em>5 candies</em> left in the bowl.
Every point of the graph, i.e. every ordered pair (x, y), represents the number of candies given to the corresponding number of students.
Some pairs are:
- (0, 45), which means that when zero number of students had been given candies, there where 45 candies in the bowl.
- (3, 40), which means that 40 candies were left in the bowl after having given the candies to 3 students:
⇒ 45 - 40 = 5 candies were given every 3 students.
Since you might draw a line that passes through all the the points on the graph, the ratio of number of candies to number of students will be the same:
Thus, set a proportion:
- 5 candies / 3 students = x / 90 students
Solving for x:
- 5 candies / 3 students × 90 students = x
Therefore, <em>Mrs Wright would need </em><u>150 </u><em>pieces of candies in order to give the 90 students the same amount as she did for the 27 students.</em>
Answer:
852 miles
Step-by-step explanation:
We presume the speed is constant, so the satellite will travel 3/8 the distance in 3/8 the time.
... d = (3/8)·(2272 miles) = 852 miles
_____
1 minute is 1/8 of 8 minutes, so 3 minutes is 3/8 of 8 minutes.
The given polyn. is not in std. form. To answer this question, we need to perform the indicated operations (mult., addn., subtrn.) first and then arrange the terms of this poly in descending order by powers of x:
P(x) = x(160 - x) - (100x + 500)
When this work has been done, we get P(x) = 160x - x^2 - 100x - 500, or
P(x) = -x^2 + 60x - 500
So, you see, the last term is -500. This means that if x = 0, not only is there no profit, but the company is "in the hole" for $500.