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kiruha [24]
3 years ago
8

Vita has a pice of rope that is 5 meters long. She cuts the rope into pieces that are each 1/3 meter long. How many pieces does

she cut?
Mathematics
1 answer:
sp2606 [1]3 years ago
4 0
Normally you would divide something like this by the cuts made. So if there were cuts of 2 inches on a 10 inch rope, then you should divide 10 by 2. It's the same with this:
5/ \frac{1}{3} = 5*3, 15 \ pieces
Multiply by the reciprocal when you are dividing fractions.
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A restaurant operator in Accra has found out that during the lockdown,if she sells a plate of her food for Ghc 20 each,she can s
ella [17]

The demand equation illustrates the price of an item and how it relates to the demand of the item.

  • The slope of the demand function is -1/2
  • The equation of the demand function is: R(x) = (300 - 10x) \times (20 + 5x)
  • The price that maximizes her revenue is: Ghc 85

From the question, we have:

Plates = 300

Price = 20

The number of plates (x) decreases by 10, while the price (y) increases by 5. The table of value is:

\begin{array}{cccccc}x & {300} & {290} & {280} & {270} & {260} \ \\ y & {20} & {25} & {30} & {35} & {40} \ \end{array}

The slope (m) is calculated using:

m = \frac{y_2 - y_1}{x_2 - x_1}

So, we have:

m = \frac{25-20}{290-300}

m = \frac{5}{-10}

m = -\frac{1}{2}

The equation of the demand is as follows:

The initial number of plates (300) decreases by 10 is represented as: (300 - 10x).

Similarly, the initial price (20) increases by 5 is represented as: (20 + 5x).

So, the demand equation is:

R(x) = (300 - 10x) \times (20 + 5x)

Open the brackets to calculate the maximum revenue

R(x) =6000 + 1500x - 200x - 50x^2

R(x) =6000 + 1300x - 50x^2

Equate to 0

6000 + 1300x - 50x^2 =0

Differentiate with respect to x

1300 - 100x =0

Collect like terms

100x =1300

Divide by 100

x =13

So, the price at maximum revenue is:

Price= 20 + 5x

Price= 20 + 5 * 13

Price= 85

In conclusion:

  • The slope of the demand function is -1/2
  • The equation of the demand function is: R(x) = (300 - 10x) \times (20 + 5x)
  • The price that maximizes her revenue is: Ghc 85

Read more about demand equations at:

brainly.com/question/21586143

3 0
3 years ago
Show YOUR Work What is the circumference, in inches, of a circle with a radius of 8 inches? (C=2Лr)
miskamm [114]

Answer:

The answer is 50.24

Step-by-step explanation:

C=2Лr

C=16Л

C=50.24

4 0
3 years ago
Which equation does the graph represent (see picture)
egoroff_w [7]
Y=Mx +b

B is 0 because that’s where the graph intercepts the y axis.

M is found by picking any two points and finding the rise and run because m is equal rise/run

Points of choice: (-2,4) and (2,-4)

=2−1/2−1 = -8/4

m is equal -2

Y= -2X

Look at the picture below to differentiate between positive and negative slopes.

8 0
3 years ago
Lake has a total of $10,000 to invest in two accounts. One account earns 1% simple interest, and the other earns 10% simple inte
Elza [17]

Answer:

  1. $8000 at 1%
  2. $2000 at 10%

Step-by-step explanation:

It often works well to let a variable represent the amount invested at the higher rate. Then an equation can be written relating amounts invested to the total interest earned.

__

<h3>setup</h3>

Let x represent the amount invested at 10%. Then 10000-x is the amount invested at 1%. The total interest earned is ...

  0.10x +0.01(10000 -x) = 280

<h3>solution</h3>

Simplifying gives ...

  0.09x +100 = 280

  0.09x = 180 . . . . . . . subtract 100

  x = 2000 . . . . . . divide by 0.09

  10000 -x = 8000 . . . . amount invested at 1%

<h3>1.</h3>

$8000 should be invested in the 1% account

<h3>2.</h3>

$2000 should be invested in the 10% account

5 0
2 years ago
Every wee, Andrea travels 1,847 miles for her job. if she does his for 4 weeks, how many miles will she have traveled?
Firdavs [7]
She will have traveled 7,388 miles.

hope this helps!
5 0
3 years ago
Read 2 more answers
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