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RideAnS [48]
3 years ago
11

China issued the largest stamp ever, 210mm Long and 65mm wide. Find the ratio of length to width

Mathematics
1 answer:
lora16 [44]3 years ago
7 0
210 : 65 
----------------------
42 : 13 is the ratio of 210mm long and 65mm wide
----------
<span>divide both numbers by 5</span>
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The daily profit P ​(in thousands of​ dollars) from the sale of televisions is a function of the number x of televisions sold ​(
scZoUnD [109]

Answer:

The break-even sales amounts​ is 36 or 224.

Step-by-step explanation:

Consider the provided function.

P= -5x^2 + 13x - 4

Where x is the number of televisions sold (in hundreds) and P is the profit.

We need to calculate the break-even sales amounts​.

the​ break-even sales amounts​ is the sales amounts that result in no profit or​ loss.

That means substitute P=0 and solve for x.

-5x^2 + 13x - 4=0

5x^2-13x+4=0

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

Substitute a=4, b=-13 and c=4 in above formula.

x_{1,\:2}=\frac{-\left(-13\right)\pm \sqrt{\left(-13\right)^2-4\cdot \:5\cdot \:4}}{2\cdot \:5}

x_{1,\:2}=\frac{13\pm\sqrt{169-80}}{10}

x_{1,\:2}=\frac{13\pm\sqrt{89}}{10}

x=\frac{13+\sqrt{89}}{10},\:x=\frac{13-\sqrt{89}}{10}\\x\approx2.243, \ or\ x\approx 0.357

Therefore, the break-even sales amounts​ is 36 or 224.

7 0
3 years ago
In 2000, the average monthly price for basic cable television in the United States was $29.99. In 2016, the average monthly pric
Lelu [443]

Answer:

y(x) = 29.99 + 1.86x

The cost of basic cable television in the United States in the year 2020 will be $67.19.

Step-by-step explanation:

The linear function has the following format.

y(x) = y(0) + ax

In which y(x) is the cost x years after 2000, y(0) is the initial cost, that is, the cost in 2000, and a is the slope(how much the cost changes in a year).

In 2000, the average monthly price for basic cable television in the United States was $29.99.

This means that y(0) = 29.99

In 2016, the average monthly price for the same basic cable television was $59.75.

2016 is 16 years after 2000. So

y(16) = 59.75

Write a linear function that models the cost of basic cable television in the United States for x years after 2000.

y(x) = y(0) + ax

Applying y(16).

59.75 = 29.99 + 16a

16a = 29.76

a = \frac{29.76}{16}

a = 1.86

So

y(x) = 29.99 + 1.86x

Use the linear function to determine the cost of basic cable television in the United States in the year 2020.

2020 is 20 years after 2000, so this is y(20).

y(x) = 29.99 + 1.86x

y(20) = 29.99 + 1.86*20 = 67.19

The cost of basic cable television in the United States in the year 2020 will be $67.19.

3 0
3 years ago
PLEASE HELP! WILL MARK BRAINLIEST
Veseljchak [2.6K]

The value of x is 3, while the length of the rectangle is 30 units and the width is 24 units.

<h3>How to determine the dimensions?</h3>

The given parameters are:

Base = 5(x+3)

Height = 2(x+9)

Perimeter = 108

The perimeter of a rectangle is

P = 2 *(Base + Height)

So, we have:

2 *(5(x + 3) + 2(x + 9)) = 108

Divide both sides by 2

5(x + 3) + 2(x + 9) = 54

Open the brackets

5x + 15 + 2x + 18 = 54

Evaluate the like terms

7x = 21

Divide by 7

x = 3

Substitute x = 3 in Base = 5(x+3) and Height = 2(x+9)

Base = 5(3+3) = 30

Height = 2(3+9) = 24

Hence, the value of x is 3, while the length of the rectangle is 30 units and the width is 24 units.

Read more about perimeter at:

brainly.com/question/24571594

#SPJ1

5 0
2 years ago
I have one more question before im done so please help and have a good day.
3241004551 [841]

Answer:

  • See below

Step-by-step explanation:

<h3>Part A</h3>

<u>Solve the equation:</u>

  • 6x² + 48x + 120 = 0
  • x² + 8x + 20 = 0
  • x² + 8x + 16 + 4 = 0
  • (x + 4)² + 4 = 0
  • (x + 4)² = - 4

The left side is positive and right side is negative so no solution

<h3>Part B</h3>

There is no intercession with the x-axis, the graph of the function is entirely above the x-axis.

It means the diver won't reach the bottom of the lake

6 0
2 years ago
Alexandra has a stand in the marketplace where she sells her cumin for 7.20 per kilogram. If she sells 90 kilograms of cumin her
Drupady [299]

Answer:

$234

Step-by-step explanation:

First we need to define profits. Profits are Income minus Expenses:

P = I - E

We know profits are $414, so:

414 = I - E

We also can calculate income, as it is equal to price by the sales:

I = p*Q

Here she sold 90 kgs at $7.20 b kg. So:

I = p*Q = 7.20 * 90 = 648

So, replacing in profits equation:

414 = I - E

414 = 648 - E

If we sum E in both sides:

414 + E = 648 - E + E = 648

414 + E = 648

Now, subtracting 414 in both sides:

414 + E - 414 = 648 - 414

E = 234

So, her expenses are $234

8 0
3 years ago
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