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:
2300
Step-by-step explanation:
Answer:
Step-by-step explanation:
1/8 = 1/9 + x ...multiply by LCD of 72
9 = 8 + 72x
9 - 8 = 72x
1 = 72x
1/72 = x
1/8 = 1/10 + x....multiply by 40
5 = 4 + 40x
5 - 4 = 40x
1 = 40x
1/40 = x
1/8 = 1/11 + x....multiply by 88
11 = 8 + 88x
11 - 8 = 88x
3 = 88x
3/88 = x
can all unit fractions be made in more then 1 way like this ?
not to sure because that last one....because it has been that a unit fraction is the outcome of adding together 2 unit fractions...but that last one...3/88 is not a unit fraction
Pi & Phi in the human body. nautilus shells, Sunflowers, Seahorses, Pine Cones, Fibonacci Sequence etc.
Answer: 
Step-by-step explanation:
We know that the standard quadratic equation is ax^2+bx+c=0
Let's compare all the given equation to it and , find discriminant.
1. a=2, b= -7, c=-9
So it has 2 real number solutions.
2. a=1, b=-4, c=4

So it has only 1 real number solution.
3. a=4, b=-3, c=-1

So it has 2 real number solutions.
4. a=1, b=-2, c=-8
So it has 2 real number solutions.
5. a=3, b=5, c=3

Thus it does not has real solutions.