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3 years ago

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At a part time job, Sheila works 22.5 hours a week. Write and solve an equation to find the amount of money she gets paid in one

hour if she earns $207 for the 22.5 hours of work.

1 answer:

Stells [14]3 years ago

7 0

$9.20 nine dollars and twenty cent's

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Erik needs a plumber and must decide between two companies. For a service visit, Plumber A charges $85 to send a plumber, plus $

djverab [1.8K]

C. Plumber A and Plumber B will both charge $135 if they each work 2.5 h.

6 0

3 years ago

How can I solve this?

anygoal [31]

A = x > -3 and x < 4

B = x >withlineunder -3 and x <withlineunder 4

C = X < - 3 or X > 4

3 0

3 years ago

The net of a rectangular prism is shown below.

Mamont248 [21]

Answer:

28

Step-by-step explanation:

Using a net to find the surface area of a rectangular prism

Finding the areas of each of the rectangles and squares of the net of a rectangular prism and adding up those areas gives the surface area or total surface area of the prism.

For example, if the length of one side of the cube 4 units then the area of one its face is 4 × 4 = 16 square units. From the net, we can see that there are six equal faces and so we get the total surface area is 6 × 16 = 96 square units.

Surface Area of a Rectangular Prism using Nets

A rectangular prism or cuboid is formed by folding a net as shown −

Cuboid

We can see from the net that there are two rectangles with dimensions 3 cm by 6 cm, two rectangles with dimensions 2 cm by 6 cm and two rectangles with dimensions 2 cm by 3 cm. The total surface area is then

2 × 3 × 6 + 2 × 2 × 6 + 2 × 2 × 3 = 72 cm2

Example 1:

Find the surface area of the given rectangular prism in square cm.

Rectangular Prism in Square cm

Solution

Step 1:

Using net, the surface area of a rectangular prism

= 2lw+wh+lh; l = 6 ; w = 5; h = 3

Step 2:

Surface area of given prism = 26×5+6×3+3×5

= 230+18+15

= 126 square cm

Example 2:

Find the surface area of the given rectangular prism in square cm.

Rectangular Prism Square cm

Solution

Step 1:

Using net, the surface area of a rectangular prism

= 2lw+wh+lh; l = 5; w = 6; h = 4

Step 2:

Surface area of given prism = 25×6+5×4+6×4

= 230+20+24

= 148 square cm

6 0

3 years ago

Read 2 more answers

Use FOIL to explain how to find the product of (a + b)(a − b). Then describe a shortcut that you could use to get this product w

xenn [34]

Answer:

The product of (a+b)(a-b) is $a^2 - b^2$

Step-by-step explanation:

Use FOIL to explain how to find the product of (a + b)(a − b)

FOIL is

Multiply First terms : a*a = a^2

Multiply Outside terms : a* -b = -ab

Multiply Inner terms : b * a= ab

Multiply last terms : b * -b = -b^2

now we combine all the terms

$a^2 -ab+ab - b^2$

combine like terms

$a^2 - b^2$

The product of (a+b)(a-b) is $a^2 - b^2$

Shortcut is we apply an identity

$a^2 - b^2 = (a+b)(a-b)$

8 0

3 years ago

Read 2 more answers

1. Homer has an idea for a new donut shop. He wants to design the donut shop so that the rectangular

Tju [1.3M]

Solving a <em>system of equations</em>, it is found that since the <u>quadratic equation has two positive roots</u>, they can be the values of the length and the width, and the design is possible.

The perimeter of a <u>rectangle of length l and width w</u> is given by:

$P = 2(l + w)$

The area is:

$A = lw$

In this problem, perimeter of 63.5 m, hence:

$2l + 2w = 63.5$

$2l = 63.5 - 2w$

$l = 31.75 - w$

Area of 225 m², hence:

$lw = 225$

$(31.75 - w)(w) = 225$

$w^2 - 31.75w + 225 = 0$

Which is a quadratic equation with coefficients $a = 1, b = -31.75, c = 225$ .

Then:

$\Delta = b^2 - 4ac = (-31.75)^2 - 4(1)(225) = 108.0625$

$w_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{31.75 + \sqrt{108.0625}}{2} = 21.1$

$w_2 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{31.75 - \sqrt{108.0625}}{2} = 10.68$

Since the <u>quadratic equation has two positive roots</u>, they can be the values of the length and the width, and the design is possible.

A similar problem is given at brainly.com/question/10489198

6 0

2 years ago