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romanna [79]
3 years ago
9

Suppose a certain company sells regular keyboards for $83 and wireless keyboards for $110. Last week the store sold three times

as many regular keyboards as wireless. If total keyboard sales were $5,385, how many of each type were sold?
regular keyboards :

wireless keyboards:
Mathematics
1 answer:
Tomtit [17]3 years ago
6 0

Answer:

  • 45 regular keyboards
  • 15 wireless keyboards

Step-by-step explanation:

A set of 3 regular and 1 wireless keyboard would sell for ...

  3×$83 +110 = $359

For the given sales, the number of sets sold was ...

  $5385/($359/set) = 15 sets

Since there are 3 regular keyboards in each set, there were 3×15 = 45 regular keyboards sold. The number of each type of keyboards sold is ...

  45 regular keyboards and 15 wireless keyboards

_____

<em>Comment on this solution</em>

When a problem statement tells you the ratio of one kind of item to another, it is often convenient to group the items in that ratio and deal with the groups. Sometimes, there will be a few missing or left over, for example "10 more than 3 times as many." In those cases, you can make an adjustment to the total and still deal with the groups. (Any equations you might write will effectively do this same thing.)

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The graph of the linear function is shown on the coordinate grid. What is the equation of this line?​
Serjik [45]
Y=-1/3-2

Hope this helps!! :)
6 0
2 years ago
BC and DF are parallel lines. B is a point on AD and E is a point of DF. BD=BE. work out angle DBE give a reason. ITS ON MATHSWA
zloy xaker [14]

Answer:

(Angle DBE) ∠DBE = 50°

Step-by-step explanation:

It is crucial for us to be able to interpret plane geometry related question in order to solve them efficiently.

From the question given; we have analysed and come up with a diagrammatic expression and mathematical solution that clearly explains the question .

Given that

BC and DF are parallel lines.

B is a point on AD  

B is a point on AD

BD=BE

work out angle DBE and give a reason.

The diagram can be seen in the attached image below.

SInce ∠BD = ∠DE

Then triangle BDE is an isosceles triangle. In an isosceles triangle ; two sides are equal in length.

The sum of angles in an isosceles triangle = 180° (sum of angles in a triangle)

So;

∠BDE + ∠BED + ∠DBE = 180° (sum of angles in a triangle)

From the diagram; we will see that ∠ABC = ∠BDE  (corresponding angle)

Since ; ∠ABC is not given and which is needed to solve this question.

Let's just assume that ∠ABC is 65° , the main thing is to be able to interpret and understand the concept of the question.

Now;

Since

∠ABC = ∠BDE  

∠ABC  = 65°

∠BDE  = 65°

Again;

∠BDE + ∠BED + ∠DBE = 180° (sum of angles in a triangle)

∠BDE will be aso equal to  ∠BED ; this is because since the length of the opposite sides of the isosceles triangle are equal, their angles will also be equal.

Therefore;

65° + 65° + ∠DBE = 180° (sum of angles in a triangle)

130 ° + ∠DBE = 180° (sum of angles in a triangle)

∠DBE = 180° - 130°

∠DBE = 50°

3 0
3 years ago
All questions are about this system of equations:
sertanlavr [38]
If we are eliminating x, we would multiply the 2nd equation by -5

5x + 18y = 23
x + 3y = 2....multiply by -5
-----------------
5x + 18y = 23
-5x - 15y = - 10 (result of multiplying by -5)
----------------add
0 + 3y = 13.....bye-bye x :)

6 0
3 years ago
10 - 5 2/3 = ? not in decimal form only fraction .
Dmitrij [34]

it would equal the same mixed number. 5 2/3

3 0
3 years ago
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