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frutty [35]
3 years ago
14

A local florist charges $8 for a red rose and $10 for a white rose. He sold twice as many red roses as white roses for a total i

ncome of $8,554 for the day. How many roses did he sell all together?
Mathematics
2 answers:
Lera25 [3.4K]3 years ago
8 0
You set up the equations first. R= red rose, w= white rose

r=2w
8r+10w=8,554

You substitute r with 2w in the second equation and begin to evaluate. You should get w=329. Since w=329, you substitute this into the first equation, thus r= 2(329) = 658. You add both together to figure out the total amount sold, 658+329=987.
vekshin13 years ago
5 0
The florist sold 329 white roses, and 658 red roses.

329 + 658 = 987 roses.

The florist sold a total of 987 roses.
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How do you determine the area under a curve in calculus using integrals or the limit definition of integrals?
RSB [31]

Answer:

Please check the explanation.

Step-by-step explanation:

Let us consider

y = f(x)

To find the area under the curve y = f(x) between x = a and x = b, all we need is to integrate y = f(x) between the limits of a and b.

For example, the area between the curve y = x² - 4 and the x-axis on an interval [2, -2] can be calculated as:

A=\int _a^b|f\left(x\right)|dx

    = \int _{-2}^2\left|x^2-4\right|dx

\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx

   =\int _{-2}^2x^2dx-\int _{-2}^24dx

solving

\int _{-2}^2x^2dx

\mathrm{Apply\:the\:Power\:Rule}:\quad \int x^adx=\frac{x^{a+1}}{a+1},\:\quad \:a\ne -1

   =\left[\frac{x^{2+1}}{2+1}\right]^2_{-2}

    =\left[\frac{x^3}{3}\right]^2_{-2}

computing the boundaries

     =\frac{16}{3}

Thus,

\int _{-2}^2x^2dx=\frac{16}{3}

similarly solving

\int _{-2}^24dx

\mathrm{Integral\:of\:a\:constant}:\quad \int adx=ax

     =\left[4x\right]^2_{-2}

computing the boundaries

      =16

Thus,

\int _{-2}^24dx=16

Therefore, the expression becomes

A=\int _a^b|f\left(x\right)|dx=\int _{-2}^2x^2dx-\int _{-2}^24dx

  =\frac{16}{3}-16

  =-\frac{32}{3}

  =-10.67 square units

Thus, the area under a curve is -10.67 square units

The area is negative because it is below the x-axis. Please check the attached figure.

   

6 0
3 years ago
What is the range of this set of data? 111, 97, 63, 84, 100, 119, 72
White raven [17]
The range is 119-63 = 56
5 0
3 years ago
Read 2 more answers
Find the slope between the two points.<br> (2,7) and (5, 8 )
vlabodo [156]

Answer:

Slope

0.33

Step-by-step explanation:

8 0
3 years ago
How do you solve this??
DochEvi [55]

Answer:

Step-by-step explanation:

Hi Millie.

First we can realize that the number of cubes of each type does not matter, only the ratios between them. We see that if there are x yellow cubes, there are 3x blue cubes. And therefore, there are 5*3x green cubes, or 15x green cubes. This means that the cubes are in a 1:3:15 ratio, or that for every 1 yellow cube, there are 3 blue and 15 green cubes.

Now we can find the probability of picking a yellow cube. Since there are 18 non-yellow cubes for every yellow cube, this means that there is a 1/19 possibility of picking a yellow cube.

8 0
4 years ago
(a^3)^6 = (a^2)^x what is x?
alexgriva [62]

Answer:

9

Step-by-step explanation:

Solution

Here,

(a^3)^6=(a^2)^x

or, a^18=a^2x

or, 18=2x

or, x=18/2

x=9

8 0
3 years ago
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