Answer:
The first one
Step-by-step explanation:
Answer:
factorise out a and x :
but from general factorization:
a » x
b » 2
therefore:
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
First combine like terms:
6n-2n = 4n
7n-2=4n
subtract 7n from both sides
7n-2=4n
-7n -7n
-2=-3n
divide -2 on both sides.
n=1.5
Answer:The equation that models the solution will be
33 = 22k / 6
Step-by-step explanation:
The two types of variation involved in this problem are direct variation and inverse variation.
In direct variation, when one item changes in the positive or negative direction, the other item also changes in the positive or negative direction.
In inverse variation, when one item changes in the positive or negative direction, the other item also changes in the negative or positive direction.
From the information given,
c varies directly with b
If we introduce a direct proportionality constant, k, then,
c = kb
c also varies inversely with a
If we introduce an inverse proportionality constant, k, then,
c = k/b
Therefore, c = kb / a
When a=6 , b=22 and c=33.
The equation that models the solution will be
33 = 22k / 6
