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Divide both fractions.
Simplify the improper fraction.
is your final answer.
Hope this helps!
Answer:
a) The system that models the situation is:
p + 0.2m = 3
p + m = 5
b) The solution of the system is:
m = 2.5
p = 2.5
Step-by-step explanat:
It is desired to obtain 5 pounds of a mixture containing 40% peanuts and 60% almonds.
It has a mixture of 20% peanuts and 80% almonds.
p: number of pounds of peanuts
m = amount of mixture
The equation that represents the amount of peanut and mixture that is needed is:
p + m = 5 pounds
m = 5-p (i)
The amount of peanut in total that the mixture should have is:
p + 0.2m = 0.6 (5)
p + 0.2m = 3 (ii)
a) The system that models the situation is:
p + 0.2m = 3
p + m = 5
Now we substitute (i) in (ii) and clear p.
p + 0.2 (5-p) = 3
p-0.2p = 2
p = 2.5 pounds
Now we find m
m = 5 - 2.5
m = 2.5 pounds
b) The solution of the system is:
m = 2.5
p = 2.5
Answer:
(-4,-4)
Step-by-step explanation:
If the zeros of a quadratic function are -6 and -2, then it is:
(x+6)(x+2)
Expanding:
(x+6)(x+2)
=x^2+8x+12
To find the vertex, complete the square.
x^2+8x+12
=(x^2+8x+16)-16+12
=(x+4)^2-4
When the quadratic formula is written in the form y = a(x-h)^2+k, the vertex is (h, k).
(h, k)=(-4,-4)
Answer:
Step-by-step explanation:
Step one:
Given data
Flowers to Go charges
let the number of roses be x
and the total cost be y
$2.5 for a rose
$9 for delivery
the total cost is
y=2.5x+9-------1
Blooms R Us charges
let the number of roses be x
and the total cost be y
$3.25 for a rose
$5 for delivery
the total cost is
y=3.25x+5--------2
Step two:
equating equations 1 and 2 we can solve for x, the number of flowers
2.5x+9=3.25x+5
2.5x-3.25x=5-9
-0.75x=-4
x=4/0.75
x=5.33
<u>Therefore the minimum number of flowers is 5.33</u>
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