Answer:
7
Step-by-step explanation:
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. 
To learn more on inequalities, we kindly invite to check this verified question: brainly.com/question/20383699
Answer:
See proof
Step-by-step explanation:
Statements Reasons
1.
bisects
Given
2.
Definition of angle bisector
3.
Reflexive property of equality
4.
AAS postulate
5.
Congruent triangles have congruent corresponding sides
6.
Reflexive property of equality
7.
SAS postulate
8.
Congruent triangles have congruent corresponding sides
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