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Ksivusya [100]
3 years ago
7

The local hardware store wants to increase their inventory. last year 15 electric screwdrivers cost them $300. at the same cost,

how much would 45 screwdrivers cost them this year?
Mathematics
1 answer:
VMariaS [17]3 years ago
3 0

Answer:

Cost of 45 screwdrivers will be = $900

Step-by-step explanation:

Last year 15 electric screwdrivers cost to the local hardware store = $300

So per screwdriver cost = \frac{\text{Total cost}}{\text{Total number of screw drivers}}

= \frac{300}{15}

= $20

Now we have to calculate the cost of 45 screw drivers.

Since cost of 1 screwdriver = $20

So cost of 45 screwdrivers = 20×45 = $900

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A piece of cardboard has the dimensions (x + 15) inches by (x) inches with the area of 60 in 2 . Write the quadratic equation th
pochemuha

Answer:

x^2 + 15x - 60 = 0

The actual dimension is 18.28 by 3.28

Step-by-step explanation:

Given

Dimension:

(x + 15)\ by\ x

Area = 60in^2

Required

Determine the quadratic equation and get the possible values of x

Solving (a): Quadratic Equation.

The cardboard is rectangular in shape.

Hence, Area is calculated as thus:

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60= (x + 15) * x

Open Bracket

60= x^2 + 15x

Subtract 60 from both sides

x^2 + 15x - 60 = 0

<em>Hence, the above represents the quadratic equation</em>

Solving (b): The actual dimension

First, we need to solve for x

This can be solved using quadratic formula:

x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}

Where

a = 1

b = 15

c = -60

So:

x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}

x = \frac{-15 \± \sqrt{15^2 - 4*1*-60}}{2*1}

x = \frac{-15 \± \sqrt{225 + 240}}{2}

x = \frac{-15 \± \sqrt{465}}{2}

x = \frac{-15 \± \21.56}{2}

Split:

x = \frac{-15 + 21.56}{2} or x = \frac{-15 - 21.56}{2}

x = \frac{6.56}{2} or x = \frac{-36.36}{2}

x = 3.28 or x = -18.18

But length can't be negative;

So:

x = 3.28

The actual dimensions: (x + 15)\ by\ x is

Length =3.28 +15

Length =18.28

Width = x

Width =3.28

<em>The actual dimension is 18.28 by 3.28</em>

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3 years ago
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ATQ

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please click thanks and mark brainliest if you like :)

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