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mash [69]
2 years ago
6

A cell phone company offers two plans.

Mathematics
1 answer:
Aneli [31]2 years ago
3 0

Answer:

80 minutes

Step-by-step explanation:

Represent Plan A as y = $26.50 + ($0.35/min)x, where x is the number of minutes consumed.  

Represent Plan A as y = $42.50 + ($0.15/min)x

We set these two equations equal to one another and solve for x, the number of minutes at which the costs of the two plans are momentarily equal:

y = $26.50 + ($0.35/min)x = y = $42.50 + ($0.15/min)x

Combining like terms, we get:             ($0.20/min)x = $16.00

                 

                  $16.00

Then x = -------------------- = 80 minutes

                 ($0.20/min)

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What is the sum of x^2 - 3x + 7 and 3x^2 + 5x - 9
Dmitrij [34]

Hey there!

The answer to your question is 4x^2+2x-2

Given:

x^2-3x+7 and 3x^2 +5x-9

First, we can start by adding like terms. The following are like terms:

x^2 and 3x^2

-3x and 5x

7 and -9

Now, we can add these pairs together, giving us:

4x^2

2x

-2

Now, add all this together, and we get our answer as:

4x^2 + 2x - 2

Have a terrificly amazing day!

7 0
3 years ago
The width of a kitchen is 4.2 metres.
Svetradugi [14.3K]

Given:

The width of a kitchen is 4.2 metres.

Kitchen cupboard widths are 60 cm.

To find:

The number of kitchen cupboard that will fit in 4.2 metres.

Solution:

Let x be the number of kitchen cupboard that will fit in 4.2 metres.

Width of 1 cupboard = 60 cm

Width of x cupboards = 60x cm

We know that, 1 m = 100 cm.

Width of a kitchen = 4.2 metres

                              = 4.2×100 cm

                              = 420 cm

Now, the width of the x cupboards is equal to width of the kitchen.

60x=420

x=\dfrac{420}{60}

x=7

Therefore, the number of kitchen cupboard that will fit in 4.2 metres is 7.

5 0
2 years ago
A company manufactures keyboards for desktop and laptop computers. The desktop keyboard contains 105 keys and the laptop keyboar
Luba_88 [7]

The company can produce 20 desktop keyboards and 10 laptop keyboards

Step-by-step explanation:

A company manufactures keyboards for desktop and laptop computers

  • The desktop keyboard contains 105 keys
  • The laptop keyboard has 90 keys
  • The company has 3000 keys
  • The company needs to produce twice as many desktop keyboards as laptop keyboards

We need to find how much of each type the company can produce

Assume that the company can produce x desktop keyboards and

y laptop keyboards

∵ The company can produce x desktop keyboards

∵ company can produce y laptop keyboards

∵ The desktop keyboard contains 105 keys

∵ The laptop keyboard has 90 keys

∵ The company has 3000 keys

- Write an equation to represent the total keys

∴ 105 x + 90 y = 3000 ⇒ (1)

∵ The company needs to produce twice as many desktop keyboards

   as laptop keyboards

∴ x = 2 y ⇒ (2)

Substitute x in equation (1) by equation (2)

∵ 105(2 y) + 90 y = 3000

∴ 210 y + 90 y = 3000

∴ 300 y = 3000

- Divide both sides by 300

∴ y = 10

∴ The company can produce 10 laptop keyboards

Substitute the value of y in equation (2) to find the value of x

∵ x = 2(10)

∴ x = 20

∴ The company can produce 20 desktop keyboards

The company can produce 20 desktop keyboards and 10 laptop keyboards

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

6 0
3 years ago
Find the area of the figure.<br> 5ft<br> 85°<br> 9ft
Natali5045456 [20]

Answer:

where is your figure

Step-by-step explanation:

8 0
3 years ago
HERES MY QUESTION???!!!!!!!!!!!!!!!
Ivan

Answer:   x=55           y=145

x=55

35+90=125

125-180=55

y=145

180-35=145

I hope this is good enough:

5 0
3 years ago
Read 2 more answers
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