Answer:
The number of plums = 4
The number of peaches = 16
The number of nectarines = 1
Step-by-step explanation:
Let the number of peaches be = x
Let the number of nectarines be = y
Let the number of plums be = z
A box of fruit has four times more peaches than plums. This means that
The number of peaches = 4 X the number of plums.
i.e x = 4z
The box has 3 fewer nectarines than plums. This means that
Number of nectarines = number of plums - 3
i.e y = z - 3
If the box contains 21 pieces of fruit, this means that if we sum up all the peaches, nectarines, and plums in the box, we will get 21.
Peaches + Nectarines + Plums = 21
4z + z-3 + z = 21
6z =21 +3
z = 24/6
z = 4
Therefore, the number of plums = 4
The number of peaches = 4 X 4 = 16
The number of nectarines = 4 -3 = 1
Answer:
next should be 2250 if my math is correct
P(3) = 1/8
P(5)=1/8
Events are independent.
P(3, then 5) = 1/8 *1/8 =1/16
Answer is 1/16.
Answer:
A
Step-by-step explanation:
A series is said to be convergent if |r| < 1. Where r is the common ratio of the series.
If |r| ≥ 1 then the geometric series diverges.
12/5 + 48/25 + 192/125 + ....
r = 192/125 ÷ 48/25 = 4/5
r = 48/25 ÷ 12/5 = 4/5
In the series, r is less than 1. So the series is convergent.
Answer:
(- 10, 5 )
Step-by-step explanation:
Given the 2 equations
5x + 12y - 10 = 0 ( add 10 to both sides )
5x + 12y = 10 → (1)
2x - 3y + 35 = 0 ( subtract 35 from both sides )
2x - 3y = - 35 → (2)
Multiplying (2) by 4 and adding to (1) will eliminate the y- term
8x - 12 y = - 140 (3)
Add (1) and (3) term by term
5x + 8x + 12y - 12y = 10 - 140, that is
13x = - 130 ( divide both sides by 13 )
x = - 10
Substitute x = - 10 into either (1) or (2) and solve for y
Substituting in (1)
5(- 10) + 12y = 10
- 50 + 12y = 10 ( add 50 to both sides )
12y = 60 ( divide both sides by 12 )
y = 5
Solution is (- 10, 5 )
