Answer: He can predict that 420 students will be in support of the purchase.
Step-by-step explanation:
Since Randy surveyed one student out of every 5 he came across in the cafeteria, it means that if he came across five people, he will survey one, if he came across ten students, he will survey 2 and so on.
If then he surveyed a total of 140 students, then we can actually multiply the number by 5 to know the exact number of students he possibly came across in the cafeteria:
= 140 × 5
= Total of 700 students
If 84 out of the surveyed students supported the purchase, we can find what that figure represents in the total number of students in the cafeteria:
84/140 = x/700
We cross multiply
140 × X = 84 × 700
140X = 58,800
X = 58,800/140
X = 420 students
Therefore, he can predict that 420 students out of a total of 700 students in the cafeteria will be in support of the purchase of the P.E equipment
Answer:
D. 0.98
Step-by-step explanation:
We have been given that the fish population in a lake decreases by 2% each year. We are asked to find the common ratio.
The fish population is decreasing 2% each year. This means that each next year the fish population is 98% (100-2) of the fish population of last year.
So the common ration would be 98%. Upon converting 98% in decimal we will get,
Therefore, common ration is 0.98 and option D is the correct choice.
Answer:
m < 3
Step-by-step explanation:
7m-3m - 6 < 6
4m < 6 + 6
4m < 12
4m ÷ 4 < 12 ÷ 4
m < 3
Answer:
x = −21.25
Step-by-step explanation:
0.4(-0.2x - 3) = 0.5
distribute the .4
.4 * -0.2 = -0.08x and 0.4 * -3 = −1.2
we now have -0.08x - 1.2 = 0.5
next we add 1.2 to both sides
-0.08x - 1.2 + 1.2 ( these two 1.2's cancel out ) = 0.5 + 1.2 ( 0.5 + 1.2 = 1.7)
we then have -0.08x = 1.7
We then divide both sides by -0.08
-0.08/-0.08 = x
1.7 / -0.08 = −21.25
we're left with x = −21.25