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miskamm [114]
3 years ago
6

Hello can you help me please! ​

Mathematics
1 answer:
victus00 [196]3 years ago
4 0

Answer:

Option (3)

Step-by-step explanation:

Scale factor by which the rectangle given in the picture is enlarged = 7.5

Since, scale factor = \frac{\text{Dimension of dilated rectangle}}{\text{Dimension of the original}}

7.5 = \frac{\text{Length of the dilated rectangle}}{\text{Length of the original}}

7.5 = \frac{L}{8}

Length of the dilated rectangle = 7.5×8

                                                    = 60 cm

Similarly, width of the dilated rectangle = 7.5 × width of the original rectangle

= 7.5 × 6

= 45 cm

Now area of the dilated rectangle = Length × width

                                                        = 60 × 45

                                                        = 2700 cm²

Perimeter of the dilated rectangle = 2(length + width)

                                                         = 2(60 + 45)

                                                         = 2(105)

                                                         = 210 cm

Therefore, Option (3) will be the correct option.

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The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Lydia is at a coffee shop and knows  she can spend no more than $65

before tax. She sees this price list in  the coffee shop.

Dark Roast Coffee    $7.50

Pumpkin Spice Coffee   $10.50

Breakfast Tea   $23.50

if Lydia buys 1/2 pound of the Breakfast Tea and 2 pounds of the Dark Roast coffee, how many 1- pound bags of Pumpkin Spice coffee can she buy?

Given Information:

Shopping Budge = $65

Price of   Dark Roast Coffee = $7.50

Price of Pumpkin Spice Coffee  = $10.50

Price of  Breakfast Tea  = $23.50

Amount of Breakfast Tea required = 1/2 pound

Amount of Dark Roast coffee required = 2 pounds

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How many 1-pound  Pumpkin Spice Coffee can she buy = ?

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We are also given that the amount of Dark Roast coffee required is 2 pounds so the cost of Dark Roast coffee is

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11.75 + 15 + 10.50x = 65

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n = 3.64 pound/1-pound

n = 3.64

Since bags cannot be in fraction so

n = 3 bags

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4÷10

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