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Marta_Voda [28]
3 years ago
7

The side lengths of a square are each 3p. By adding 5 to the length and subtracting 5 from the width, a rectangle is made. What

is the area of the rectangle?
Mathematics
1 answer:
denpristay [2]3 years ago
8 0

Answer:

A = 9p² - 25

Step-by-step explanation:

The side lengths were 3p.  5 was added to the length and subtracted from the width.  This means that

l = 3p + 5

w = 3p - 5

Plug these values into the formula for the area of a rectangle.

A = lw

A = (3p + 5)(3p - 5)

A = 9p² - 25

The area of the rectangle is 9p² - 25.

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fomenos

Answer:

x = 5

Step-by-step explanation:

{2}^{2x - 3}   + 52 = 180

{2}^{2x - 3 }  = 128

{2}^{2x - 3}  =  {2}^{7}

2x - 3 = 7

2x = 10

x = 5

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Sierra buys lunch in the cafeteria everyday. Lunch costs $2.00 each day, how much did she spend after 5 days.
Tcecarenko [31]

Answer:

$2.00 each day so $2.00 x 5 = $10

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Tell which measure is greater. One yard or one meter?
tensa zangetsu [6.8K]

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Write the domain and the range of the function as an inequality, using set notations, and using interval notation. Also describe
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Answer:

Step-by-step explanation:

The end behavior notation is at (4,3)

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3 years ago
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Sam wants to make 4 gallons of vegetable bean soup. The recipe below makes 13 gallon of soup. Help Sam make his grocery list for
Zolol [24]

The proportion of the recipe required to make the grocery list is obtained from the recipe for the beans soup.

The grocery list is therefore;

  • <u>15 cups of honey beans</u>
  • <u>9 cups carrots</u>
  • <u>12 cups cherry tomato</u>
  • <u>192 oz. vegetable broth</u>
  • <u>10.5 cup turnips</u>
  • <u>6 teaspoon salt</u>
  • <u>8 cups potato onions</u>
  • <u>1.25 teaspoons thyme</u>
  • <u>12 teaspoons garlic</u>

Reason:

Amounts of beans soup Sam wants to make = 4 gallons

<em>The recipe for the beans soup is as follows as obtained from an online home work document are</em>;

<em>Vegetable Bean Soup that Serves 4 with volume of 0.</em>\overline 3<em> gallons</em>

<em>1.25 cups of honey beans</em>

<em>0.75 cup carrots</em>

<em>1 cup cherry tomato</em>

<em>16 oz. vegetable broth</em>

<em>0.875 cup turnips</em>

<em>0.5 teaspoon salt</em>

<em />0.\overline 6<em> cup potato onions</em>

<em>0.125 teaspoon thyme</em>

<em>1 teaspoon garlic</em>

The amount of each ingredient Sam needs is given by the ratio of amount of soup Sam wants to make and the given amount of soup made by the ingredients as follows;

Multiple \ of \ ingredient \ amount = \dfrac{4}{0. \overline 3} = \dfrac{4}{\dfrac{1}{3} } = 4 \times 3 = 12

Therefore, Sam has to buy twelve times the amount of each ingredient as follows;

Vegetable Bean Soup that Serves 4 with volume of 0.\mathbf{\overline 3} gallons

12 × 1.25 = 15 cups of honey beans

12 × 0.75 = 9 cups of carrots

12 × 1 = 12 cups of cherry tomato

12 × 16 = 192 oz. vegetable broth

12 × 0.875 = 10.5 cup turnips

12 × 0.5 = 6 teaspoon salt

12 × 0.\overline 6 = 8 cups of potato onions

12 × 0.125 = 1.25 teaspoons thyme

12 × 1 = 12 teaspoons garlic

The grocery list is therefore;

  • 15 cups of honey beans
  • 9 cups carrots
  • 12 cups cherry tomato
  • 192 oz. vegetable broth
  • 10.5 cup turnips
  • 6 teaspoon salt
  • 8 cups potato onions
  • 1.25 teaspoons thyme
  • 12 teaspoons garlic

Learn more here:

brainly.com/question/20364628

brainly.com/question/21464667

3 0
2 years ago
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