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Ierofanga [76]
3 years ago
7

Please help me with this question

Mathematics
2 answers:
MissTica3 years ago
7 0

y = total cost

x = the number of miles traveled


Rent a Truck:     y = 0.20x + 40  

[they rent a moving truck for $40(upfront charge) plus $0.20 per mile(x)]


Moving R Us:      y = 1x    or     y = x

[they rent a moving truck for only $1.00 per mile(x) with not upfront charge]


To find when the cost will be the same, set the equations equal to each other:

[Rent a Truck = Moving R Us]

0.20x + 40 = x        Subtract 0.20x on both sides

40 = 0.80x     Divide 0.80 on both sides

50 = x                 x = 50 miles


[proof]

Rent a Truck:

y = 0.20x + 40        Plug in 50 for x

y = 0.20(50) + 40

y = 10 + 40

y = 50          $50


Moving R Us

y = x      Plug in 50 for x

y = 50        $50

ratelena [41]3 years ago
3 0

Answer:

x = 50 miles

Step-by-step explanation:

Equation One: y = 40 + 0.2x

Equation Two: y = $1x = x

All you need to do is equate the two ys which represent the total cost for each company. Your question is when are they equal? So make them equal, and you will find out.

x = 40 + 0.2x                 Subtract 0.2x from both sides  of the equation.

x - 0.2x = 40                  Combine like terms  

0.8x = 40                       Divide both sides by 0.8

0.8x/0.8 = 40/0.8

x = 50 miles.

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3 years ago
There are 7 ushers and 11 technicians helping at the Harper Middle School fall play.
bearhunter [10]

Answer:

<h3>The ratio of technicians to all helpers  is 11 : 7, or \frac{11}{7} or 11 to 7.</h3>

Step-by-step explanation:

  • Given that there are 7 ushers and 11 technicians helping at the Harper Middle School fall play.
  • Let x be the number of ushers ( or helpers ).
  • Therefore x=7 helpers.
  • Let y be the number of technicians.
  • Therefore y=11 technicians.
<h3>To find the ratio of technicians to all helpers :</h3>

That is to find the ratio of y to x.

We can write the ratio of technicians to all ushers(helpers) as y : x

Which implies that 11 : 7,  (since y=11 and x=7)

Or \frac{11}{7} or 11 to 7

<h3>The ratio of technicians to all helpers  is 11 : 7, or \frac{11}{7} or 11 to 7</h3>
4 0
3 years ago
Why would a pacifier represent your past
krok68 [10]

Answer:

maybe?

Step-by-step explanation:

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A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the
7nadin3 [17]

Answer:

Widgets should be sold by $38.88 to maximize the profit.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

f(x) = ax^{2} + bx + c

It's vertex is the point (x_{v}, y_{v})

In which

x_{v} = -\frac{b}{2a}

y_{v} = -\frac{\Delta}{4a}

Where

\Delta = b^2-4ac

If a<0, the vertex is a maximum point, that is, the maximum value happens at x_{v}, and it's value is y_{v}.

In this question:

The profit is given by:

y = -9x^2 + 700x - 6005

Which is a quadratic function with a = -9, b = 700, c = -6005

The maximum profit happens at the x of the vertex. Thus

x_{v} = -\frac{b}{2a} = -\frac{700}{2(-9)} = 38.88

Widgets should be sold by $38.88 to maximize the profit.

7 0
3 years ago
Find the value of x<br><br> 8th weekly math homework-week 29
Verdich [7]
Since the other angle that right next to it, the same angle you equal both angles together.

4x = 68.

We want to get x by its self. There is a 4 with the x and they're multiplying. to get rid of 4 we need to the opposite of multiplying which is division on both sides of the equation.

4x = 68
/4      /4

4 divided by 4 is 1 and 68 divided by 4 is 17

x = 17 is the answer.
If you plug in x = 17 into 4x, it will be 68

3 0
3 years ago
Read 2 more answers
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