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aleksandrvk [35]
3 years ago
13

A florist sold 6 iris bouquets and 15 other bouquets yesterday. Based on past data, how many of the next 35 bouquets sold should

you expect to be iris bouquets?
Mathematics
1 answer:
viktelen [127]3 years ago
7 0

Answer:

We should expect <u>10 iris bouquet</u> will be sold out of next 35 bouquet sold.

Step-by-step explanation:

Given;

Number of iris bouquets sold yesterday = 6

Number of other bouquets sold yesterday = 15

We need to find number of iris bouquets sold out of 35 bouquets sold.

Solution:

First we will find the percent of iris bouquet sold yesterday.

Now we know that;

Total bouquet sold yesterday is equal to sum of Number of iris bouquets sold yesterday and Number of other bouquets sold yesterday.

framing in equation form we get;

Total bouquet sold yesterday = 6+15 =21

Now we can say that;

Percent of iris bouquet sold is equal to Number of iris bouquets sold yesterday divided by Total bouquet sold yesterday and then multiplied by 100

framing in equation form we get;

Percent of iris bouquet sold = \frac{6}{21}\times 100 = 28.57\%

Now based on this data we need to find number of iris bouquet sold when total bouquet sold is 35.

number of iris bouquet = \frac{28.57}{100}\times 35 = 10

Hence we should expect <u>10 iris bouquet</u> will be sold out of next 35 bouquet sold.

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kow [346]
So, givens: total lesson cost of $260, total lessons taken are 6, and the first lesson costs 1.5 (or 3/2) as much as the additional lessons.

First thing to do is to figure out how many additional lessons are in that, which are 5.

Then you can make a 1 variable equation with the information you have. I’m using x as my variable.

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Combine like terms.

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2 years ago
Numbers that add to -0.5 and multiply to 1
Oliga [24]
Short Answer
There are two numbers
x1 = -0.25 + 0.9682i   <<<< answer 1
x2 = - 0.25 - 0.9582i   <<<< answer 2 
 
I take it there are two such numbers.
Let one number = x
Let one number = y

x + y = -0.5    
y = - 0.5 - x       (1)
xy = 1               (2)

Put equation 1 into equation 2
xy = 1
x(-0.5 - x) = 1
-0.5x - x^2 = 1               Subtract 1 from both sides.
-0.5x - x^2 - 1 = 0          Order these by powers
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x^2 + 0.5x + 1 = 0         Use the quadratic formula to solve this.

\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a}

a = 1
b = 0.5
c = 1


\text{x = }\dfrac{ -0.5 \pm \sqrt{0.5^{2} - 4*1*1 } }{2*1}

x = [-0.5 +/- sqrt(0.25 - 4)] / 2
x = [-0.5 +/- sqrt(-3.75)] / 2
x = [-0.25 +/- 0.9682i

x1 = -0.25 + 0.9682 i
x2 = -0.25 - 0.9682 i

These two are conjugates. They will add  as x1 + x2 = -0.25 - 0.25 = - 0.50.

The complex parts cancel out.  Getting them to multiply to 1 will be a little more difficult. I'll do that under the check.

Check
(-0.25 - 0.9682i)(-0.25 + 0.9682i)
Use FOIL
F:-0.25 * -0.25 = 0.0625
O: -0.25*0.9682i
I: +0.25*0.9682i
L: -0.9682i*0.9682i = - 0.9375 i^2 = 0.9375

Notice
The two middle terms (labled "O" and "I" ) cancel out. They are of opposite signs.

The final result is 0.9375 and 0.0625 add up to 1
 
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photoshop1234 [79]
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