Answer:
y =
or -3.571
x =
or 1.429
Step-by-step explanation:
x - y = 5
x = 5 + y
Solve for y:
y = -6x + 5
y = -6(5 + y) + 5 Substitute x with 5 + y
y = -6(5) - 6y + 5
y = -30 - 6y + 5
y + 6y = -30 + 5
7y = -25
y =
or -3.571
Solve for x:
x = 5 + y
x = 5 + -25/7
x =
or 1.429
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:
Step-by-step explanation:
Quotient is 1.
Remainder = 27.
Answer:
12 boys
Step-by-step explanation:
7 x 3 = 21
4 x 3 = 12
12 boys