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Masteriza
12 days ago
15

A soccer field is bordered on three sides by a parking lot of width x. The total length of the field and parking lot is 300 m, a

nd the total width is 200 m. The area of the field is 30,000 m2. How wide is the parking lot
Mathematics
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Last week, the price of apples at a grocery store was $1.60 per pound. This week, apples at the same grocery store are on sale a
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Answer:

$6.48

Step-by-step explanation:

Initially calculate the 10% discount on $1.60, which results in $1.44. Then multiply $1.44 by 4.5 to find the total, yielding $6.48.

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3 months ago
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For your college interview, you must wear a tie. You own 3 regular (boring) ties and 5 (cool) bow ties. 36 1. Counting (a) How m
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Response:

a) 8

b) 15

c) 34

Detailed explanation:

Section a) Options for neck-wear

Regular ties count = 3

Bow ties count = 5

Overall ties count = 3 + 5 = 8

Any tie can be selected from these 8 available options. Thus, the options for neck-wear total 8.

Section b)

We now calculate choices for using both regular and bow ties.

Selecting a regular tie is independent of the bow tie selection. According to counting principles, if two events are independent, the total ways to realize both equal the product of their individual possibilities. Thus,[

Number of ways to select both ties = Count of ways to choose each tie

So,

Ways for wearing both types of ties = 3 x 5 = 15 ways

Section c)

Count of shirts = 5

Count of skirts = 4

Count of pants = 3

Count of dresses = 7

Choice options for outfits include:

  • Shirt paired with Skirt or Pants
  • Or simply a dress

Pants can be chosen in 3 ways. Pairing a skirt or pant provides 9 options.

Reapplying counting rules:

Ways to wear a shirt with a skirt or pant = 3 x 9 = 27

Choices for dresses = 7

Consequently, the total is 27 + 7 = 34 outfit combinations.

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1 month ago
Ali, Ben and Clare each played a game. Clare's score was seven times Ali's score. Ben's score was half of Clare's score. Write d
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The ratio is 2: 7: 14.
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Part 1: Graph piecewise functions from tables and equations. Isabel sells new and used mystery novels online. Her customers are
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c) The graph depicting the Media Mail shipping costs as a function of book weight will be represented by the equation: f(x) = 2.69 + 0.48(x-1)

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2 months ago
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