Two customers went to a flower shop to buy roses and daisies. Each bunch of roses costs the same amount, and each bunch of daisies costs the same amount.The first customer paid $62.00 for 3 bunches of roses and 4 bunches of daisies.
The second customer paid $60.00 for 2 bunches of roses and 5 bunches of daisies.
What was the cost, in dollars, of each bunch of roses?


(A) $8.25

(B) $9.50

(C) $10.00

(D) $12.00

Answers

Answer 1
Answer:

Answer:c 10.00

Step-by-step explanation:

i just took the test lol


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How many different three-digit numbers can be written using digits from the set 5, 6, 7, 8, 9 without any repeating digits?

Answers

Answer:

It can be written 60 different three digit numbers.

Step-by-step explanation:

For, calculate how many different three digit numbers can be written, we can use the rule of multiplication as:

    5              *         4         *             3                =      60

   1st digit         2nd digit          3rd digit

Taking into account that there is no repeating digits, we have 5 options for the first digits, this options are the number 5, 6, 7, 8 or 9. Then, we have 4 options for the second digit and then we have 3 options for the third digit.

So, there are 60 different three digit numbers that we can create with the set  5, 6, 7, 8, 9 without any repeating digits.

567
598
578
596
597
Keep doing this and you will get your answer. It is could trial and error.

A colored chip is yellow on one side and red on the other. The chip was flipped 50 times and landed red side facing up 20 times. What is the relative frequency of the chip landing with the red side facing up?20%
30%
40%
60%

Answers

Number of times red side faced up = 20

Total number of times thrown = 50

Frequency of red side = No of red side / Total    * 100%

                                      =  (20 / 50) * 100%

                                     = 0.4 * 100%

                                     = 40%

Hope this explains it.
20/50 is equal to 40/100 so the answer is 40%

Differentiate the following functions s=4e^3t-e^-2.5 w.r.t.t

Answers

Answer:

\displaystyle (ds)/(dt) = 12e^(3t)

General Formulas and Concepts:

Algebra I

  • Functions
  • Function Notation

Calculus

Derivatives

Derivative Notation

Derivative Property [Multiplied Constant]:                                                           \displaystyle (d)/(dx) [cf(x)] = c \cdot f'(x)

Derivative Property [Addition/Subtraction]:                                                         \displaystyle (d)/(dx)[f(x) + g(x)] = (d)/(dx)[f(x)] + (d)/(dx)[g(x)]

Basic Power Rule:

  • f(x) = cxⁿ
  • f’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]:                                                                                 \displaystyle (d)/(dx)[f(g(x))] =f'(g(x)) \cdot g'(x)

eˣ Derivative:                                                                                                         \displaystyle (d)/(dx) [e^u]=e^u \cdot u'

Step-by-step explanation:

Step 1: Define

Identify

\displaystyle s = 4e^(3t) - e^(-2.5)

Step 2: Differentiate

  1. eˣ Derivative:                                                                                                 \displaystyle (ds)/(dt) = 4e^(3t) \cdot (d)/(dt)[3t] - (d)/(dt)[e^(-2.5)]
  2. Basic Power Rule:                                                                                         \displaystyle (ds)/(dt) = 4e^(3t) \cdot 3t^(1 - 1) - 0
  3. Simplify:                                                                                                         \displaystyle (ds)/(dt) = 12e^(3t)

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

7x+3y=22 4y=20 I need to know how to write this equation out with the answer

Answers

\begin{cases} 7x+3y=22 \n 4y=20 \ \ /:4 \end{cases}\n \n\begin{cases} 7x+3 \cdot 5=22 \n y= 5 \end{cases}\n \n\begin{cases} 7x+15=22 \ \ |-15 \n 4y=20 \end{cases}

\begin{cases} 7x+15 -15=22 -15 \n y=5 \end{cases}\n \n\begin{cases} 7x =7\ \ / :7 \n y=5 \end{cases}\n \n\begin{cases} x =1 \n y=5 \end{cases}\n \n


7x+3y=22
4y=20

4y=20
y=5

Substitute to first equation
7x+15=22
7x=7
x=1

Find the length x in the triangle. Express your answer in simplified radical form. Side 1=10. Side 2=8. Side 3=x

Answers

There's not enough information given to find a unique answer. 
With sides of 10 and 8, an infinite number of different triangles
can be built, each with a different third side.  The third side
can be any length between 2 and 18 .

There may be a picture that goes along with this question, with some
more information in the picture than what has been given here. Like
for example, it may be some special kind of triangle.

What is the range of possible sizes for side x? it is a triangle with one side having 4.0, and the other having 5.6. picture attached below, thanks in advance :)

Answers

Given:

Given that the two sides of the triangle are x, 4.0 and 5.6

We need to determine the range of possible sizes for the side x.

Range of x:

The range of x can be determined using the triangle inequality theorem.

The triangle inequality theorem states that, "if any side of a triangle must be shorter than the other two sides added together".

Thus, applying the theorem, we have;

x=4.0+5.6

x=9.6

Also, the the triangle inequality theorem states that, "the third side must be also larger than the difference between the other two sides".

Thus, we have;

x=5.6-4.0

x=1.6

Thus, the range of possible values for x are 1.6<x<9.6

Final answer:

In accordance with the triangle inequality theorem, the range for the length of the third side (x) in a triangle with sides of 4.0 and 5.6 is greater than 1.6 but less than 9.6.

Explanation:

In the field of Mathematics, specifically geometry, to find the range of possible lengths of a side of a triangle, you need to understand the triangle inequality theorem. The triangle inequality theorem states that the length of a side of a triangle must be less than the sum of the lengths of the other two sides, but more than the absolute difference.

Given you have two sides, 4.0 and 5.6, the possible length for side x should be less than (4.0 + 5.6 = 9.6) and greater than the absolute difference (5.6 - 4.0 = 1.6). So, the range for side x should be 1.6 < x < 9.6.

Learn more about Triangle Inequality Theorem

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