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iragen [17]
2 years ago
10

A manufacturer of screened sweatshirts includes a shipping charge of $5.99 on all online orders. Customers also pay 2.5% tax on

their purchases. There is a linear relationship between c, the cost of the items purchased, and t, the total cost including shipping and tax. Select each statement that correctly represents the relationship between c and t. Mark all that apply. *
Mathematics
1 answer:
ankoles [38]2 years ago
8 0

Answer:

t = 1.025c + 5.99

Step-by-step explanation:

Recall : general for of a linear equation is given by :

y = mx + c

Given the following :

Item cost = c

Shipping charge = $5.99

Tax on purchases = 2.5%

Total cost, t

t = c + tax + shipping cost

Tax on purchase : 2.5% * item cost ; 0.025c

Shipping = $5.99

Hence,

Total cost, t = c + 0.025c + 5.99

t = 1.025c + 5.99

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jek_recluse [69]
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5 0
3 years ago
The diameter of a sphere is measured to be 4.17 in.
gtnhenbr [62]

Step-by-step explanation:

To find the radius of the sphere we must convert the inches to centimeters

Using the conversation

1 inch = 2.54 cm

If 1 inch = 2.54 cm

4.17 inch = 2.54 × 4.17 = 10.59 cm

<h2>a).</h2>

We can find the radius using the formula

radius =  \frac{diameter}{2}

From the question

diameter = 10.59 cm

So we have

radius =  \frac{10.59}{2}

<h3>radius = 5.30 cm</h3>

<h2>b).</h2>

Surface area of a sphere= 4πr²

where

r is the radius

Surface area = 4(5.30)²π

= 112.36π

= 352.989

We have the answer as

<h3>Surface area = 353 cm²</h3>

<h2>c).</h2>

Volume of a sphere is given by

\frac{4}{3} \pi  {r}^{3}

r = 5.30

The volume of the sphere is

\frac{4}{3} ( {5.30})^{3} \pi

= 623.61451

We have the answer as

<h2>Volume = 623.6 cm³</h2>

Hope this helps you

3 0
3 years ago
Kelly has a rock garden with a length of 6 feet. She constructs a scale model of the rock garden using the
Annette [7]

Answer:

  • (a) 3 inches

  • (b)  Her scale model drawing will not fit on a piece of paper that is 8.5 inches by 7 inches because the dimensions are not proportional to the scale.

Explanation:

(a) What is the length of the garden in her model? Show your work, including your proportion

<u>1. Scale</u>:

  • model length / real length = 1 inch / 2 feet

<u>2. Proportion</u>:

Naming x the model length:

  • 1 inch / 2 feet = x / 6 feet

Cross multiply:

  • 1 inch × 6 feet = 2 feet × x

Divide both sides by x:

  • x = 1 inch × 6 feet / 2 feet = 3 inch.

Answer: 3 inches

(b) If the width is 5 inches for the scale model and the scale is still 1 inch to 2 feet, will her scale model drawing fit on a piece of paper that is 8.5 inches by 7 inches? Why or why not?​

Both the width and the length must use the same scale, thus the corresponding sides of the scale model and the drawing must be proportional.

In the model the ratio of the length to the width is 3 inch / 5 inch

In the paper the ratio of the length to the width is 8.5 inch / 7 inch

Hence, you can see that in the model the length (mumerator of the fraction) is less than the width (denominator) while in the paper it is the opposite. Bieng the two ratios different, they are not proportional, and you conclude that her scale model drawing will not fit on a piece of paper that is 8.5 inches by 7 inches.

8 0
3 years ago
If i have the angle and hypotenuse how to find the other sides
artcher [175]
You should find the attached graphic to be helpful for what you need to know.

7 0
3 years ago
What is the measure of Zx?
MA_775_DIABLO [31]

Answer:

x = 139º

Step-by-step explanation:

A line = 180º

180º - 41 º = 139º

3 0
3 years ago
Read 2 more answers
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