Flori's Flower Shop have 48 <em>white</em> flowers, 40 <em>red</em> flowers, 30 <em>yellow</em> flowers and 15 <em>purple</em> flowers, whose sum equals 133 flowers, which is fewer than 150 flowers.
<h3>How to determine the quantity of flowers in a flower shop</h3>
Flori's Flower shop owns a quantity less than 150 flowers, in which there are four kinds of flowers according to color: (purple - <em>p</em>, yellow - <em>y</em>, red - <em>r</em>, white - <em>w</em>), each variable represents <em>positive</em> integers. Now we proceed to construct the system of equation that describes the situation:
z < 150 (1)
p + y + r + w = z (2)
p = y/2 (3)
y = 3 · r/4 (4)
r = 5 · w/6 (5)
By (1) and (3) in (2):
y/2 + y + r + w < 150
By (4):
3 · y/2 + r + w < 150
9 · r/8 + r + w < 150
17 · r/8 + w < 150
By (5):
85 · w/48 + w < 150
133 · w/48 < 150
133 · w < 7200
w < 54.135
Now we assume that <em>w =</em> 48, then we have the following solution for the flower shop: <em>r =</em> 40, <em>y =</em> 30, <em>p =</em> 15.
Flori's Flower Shop have 48 <em>white</em> flowers, 40 <em>red</em> flowers, 30 <em>yellow</em> flowers and 15 <em>purple</em> flowers, whose sum equals 133 flowers, which is fewer than 150 flowers. 
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The solution to the system of equation are x = -2 and y = 3
<h3>How to find the solution of a system of equation?</h3>
x + 3y = 7
2x + 4y = 8
Let's isolate x in the first equation
x = 7 - 3y
substitute the value of x in the second equation.
Therefore,
2(7 - 3y) + 4y = 8
14 - 6y + 4y = 8
-2y = 8 - 14
-2y = -6
y = -6 / -2
y = 3
Hence,
x + 3(3) = 7
x = 7 - 9
x = -2
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Answer:
ima say 10 hours since its 9.45 hours she works.
Answer:
5/24
Step-by-step explanation:
First, we want to get a common denominator, so we multiply them together.
The 2 new fractions are. . .
4/24 (1/6) and 6/24 (1/4)
Now, if you are looking for the number between 4/24 and 6/24, the answer is 5/24.
Answer:
1/21.
Step-by-step explanation:
There are 9 digits and the total number of permutations of 3 from 9 is 9P3
= 9!/6! = 504.
There are 4 even digits so the number of permutations of 3 from these 4 is 4! (4-3)! = 4*3*2 = 24.
So the required probability = 24/504
= 1/21.