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DIA [1.3K]
3 years ago
7

The length of a rectangle is the width minus 3 units. The area of the rectangle is 40 units. What is the width, in units, of the

rectangle?
Mathematics
1 answer:
Eva8 [605]3 years ago
6 0

The width of rectangle is 8 units.

Step-by-step explanation:

Given,

Area of rectangle = 40 units

Width = w

Length = w-3

Area = Length * Width

40=(w-3)*w\\40=w^2-3w\\w^2-3w=40\\w^2-3w-40=0

Factorizing the equation

w^2-8w+5w-40=0\\w(w-8)+5(w-8)=0\\(w-8)(w+5)=0

Either,

w-8=0         => w=8

Or,

w+5=0        =>w= -5

As width cannot be negative, therefore

Width of rectangle = 8 units

The width of rectangle is 8 units.

Keywords: area, rectangle

Learn more about rectangles at:

  • brainly.com/question/10538663
  • brainly.com/question/10557275

#LearnwithBrainly

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Alabama Instruments Company has set up a production line to manufacture a new calculator. The rate of production of these calcul
umka21 [38]

Answer:

The number of calculators is 4871

Step-by-step explanation:

If we integrate dx/dt we get x, which is the number of calculators. To find the number of calculators between the beginning of third week to the end of fourth week (the beginning of fifth week), this integration must be evaluated at t between 3 and 5.

x=\int\limits^5_3 {\frac{dx}{dt}} \, dt =\int\limits^5_3 {5000(1-\frac{100}{(t+10)^2})} \, dt

the result of the integration is:

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3 years ago
Micayla wants the print shop to reduce the size of her painting but keep the ratio of length to width so that it will fit her fr
marissa [1.9K]

Answer:

The width of the frame must be 12 inches (15in by 12in)

Step-by-step explanation:

Given

See attachment for painting and frame

Required

Determine the dimension of the frame

To do this, we make use of the following scale ratio.

Scale = Length : Width

For the painting,

Scale = 20: 16

For the frame,

Scale = 15: w

Since she wants to maintain the same ratio; both scale must be the same.

i.e.

15 : w = 20 : 16

Express as fraction

\frac{w}{15} = \frac{16}{20}

\frac{w}{15} = 0.8

Make w the subject

w = 15 * 0.8

w = 12

<em>The width of the frame must be 12 inches i.e. 15in by 12in frame</em>

8 0
3 years ago
Identify the solution to the following inequality: -1/2 (x+3) &gt; x - 3
mrs_skeptik [129]

Answer:

A

Step-by-step explanation:

- \frac{1}{2} (x + 3) > x - 3 ( multiply both sides by 2 to clear the fraction )

- (x + 3) > 2x - 6 ← distribute parenthesis on left side by - 1

- x - 3 > 2x - 6 ( subtract 2x from both sides )

- 3x - 3 > - 6 ( add 3 to both sides )

- 3x > - 3

divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity

x < 1

8 0
2 years ago
Read 2 more answers
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