Answer: 14
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Explanation:
Using the intersecting chord theorem, we can say,
AP*PB = CP*PD
(x+2)*6 = 7*x
6x+12 = 7x
6x+12-6x = 7x-6x
12 = x
x = 12
If x = 12, then,
AP = x+2
AP = 12+2
AP = 14
24/8 = 3
3x3 = 9
5x3=15
so
<span> 24 in ratio 3:5 = 9:15</span>
After simplifying, that answer would be -65
Answer:
270 flowers total she sell Together.
Step-by-step explanation:
According to the Question,
- Given, A florist arranges some orchids in bouquets of 20 and some roses in bouquets of 10.
Let, x = number of orchid bunches & y = number of rose bunches.
-
Now, She sells each orchid bouquet for $25 and each rose bouquet for $30. She earns a total of $390
Therefore, 25x + 30y = 390 ⇒⇒ Equation 1
she sells 4 times as many orchid bunches as rose bunches,
Therefore, x = 4y ⇒⇒ Equation 2
- Put The Value Of Equation 2 in Equation 1, We get
25 × (4y) + 30y = 390
100y + 30y = 390
130y = 390 ⇔ y = 390 / 130 ⇒ 3
if y = 3, then x = 4y must be equal to x= 12.
Thus, she sold 12 orchid bunches and 3 rose bunches.
- Verify, 25x + 30y = 390 ⇔ 12 × 25 + 3 × 30 = 390 (All okay)
Now, Each orchid bunch contains 20 flowers and each rose bunch contains 10 flowers.
- 12 × 20 + 3 × 10 = 240 + 30 ⇔ 270 flowers total she sell Together.
