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agasfer [191]
3 years ago
14

Gerry is knitting a scarf for a friend. She knits a gauge swatch which measures 4 in. by 4 in. If the square is 30 stitches wide

and 39 rows long, how many stitches wide will she need to knit in order to make a scarf that is 18 inches wide and 36 inches long?
Mathematics
1 answer:
LiRa [457]3 years ago
8 0

Answer:

<u>Gerry will need to knit 135 stitches wide and 351 rows long for make a scarf that is 18 inches wide and 36 inches long.</u>

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Measures of the gauge swatch = 4 inches * 4 inches

Number of stitches wide of the gauge swatch = 30

Number of rows long of the gauge swatch = 39

2. How many stitches wide will she need to knit in order to make a scarf that is 18 inches wide and 36 inches long?

Using Rule of Three Simple we can found that value, this way;

Number of stitches wide for 18 inches wide = (18 * 30)/4

Number of stitches wide for 18 inches wide = 540/4 = 135

<u>Gerry will need to knit 135 stitches wide for make a scarf that is 18 inches wide.</u>

We can found the same way, the rows long:

Number of rows long for 36 inches long = (36 * 39)/4

Number of rows long for 36 inches long = 1,404/4 = 351

<u>Gerry will need to knit 351 rows long for make a scarf that is 36 inches long.</u>

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A venue plans to host trucking events regularly throughout the year. The expected revenue from each event is $100,000. The cost
iris [78.8K]

Answer:

The venue has to host 47 events throughout the year

Step-by-step explanation:

Profit:

Profit is revenue subtracted by costs.

Per event:

$100,000 revenue

$50,000 costs

$100,000 - $50,000 = $50,000 profit.

If the venue wants to make a total profit margin of $2,350,000, how many events does the venue have to host throughout the year?

1 event - $50,000 profit.

x events - $2,350,000 profit.

50000x = 2350000

x = \frac{2350000}{50000}

x = 47

The venue has to host 47 events throughout the year

6 0
3 years ago
1. Find the rate of
Gre4nikov [31]

Answer:

Rate of change: -3.5

Step-by-step explanation:

(-3,10.5) and (-2,7)

(7 - 10.5) / ( -2 - - 3)

= -3.5 / 1

6 0
2 years ago
The following list contains the average annual total returns (in percentage points) for 9 mutual funds. The mutual funds appear
VladimirAG [237]

Answer:

Mean =25.78

Median =20

Step-by-step explanation:

given that the following list contains the average annual total returns (in percentage points) for 9 mutual funds. The mutual funds appear in an online brokerage firm's "all-star" list.

40, 30, 6, 10, 30, 18, 15, 20, 36

Let us find the sum of these 9 entries

Sum = 205

a) Mean = \frac{205}{9} =22.78

b) Median of this data set is the middle entry after arranging in ascending order

Here it would be the 5th entry

6,10, 15, 18,20, 30, 30, 36, 40

Median = 20

6 0
3 years ago
Dr. Drange has a collection of 72 books. Of the books, 2/9 are math books, 1/6 are romance novels. How many romance novels does
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He has 72 books......1/6 are romance
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8 0
3 years ago
Help ASAP Plz !!!!
evablogger [386]

Answer:

<u> The distance between opposite corners of the windowpane is 8.5 inches (rounding to the nearest tenth).</u>

Step-by-step explanation:

1. Let's use the Pythagorean Theorem to find the distance between opposite corners of the windowpane:

With the information given, we have a right triangle with the distance between opposite corners of the windowpane as the hypotenuse and its sides of 6 inches as the width and length of the windowpane and as sides of the right triangle.

Distance between opposite corners of the windowpane ² = Width of the windowpane ² + Length of the windowpane ²

Replacing with the real values:

Distance between opposite corners of the windowpane ² = 6² + 6²

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Distance between opposite corners of the windowpane ² = 72

√ Distance between opposite corners of the windowpane² = √72

<u> Distance between opposite corners of the windowpane = 8.5 inches (rounding to the nearest tenth)</u>

8 0
3 years ago
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