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faust18 [17]
3 years ago
15

Kate is going to the fair with three of her friends. It will cost $5.00 to get in and an additional $2 per ride. Create an equat

ion to represent the cost for the whole group and then use the distributive property to expand the expression and solve the problem.
Expression: (4*5)+(2*5)=30
So I have the expression I just need to do the distributive property and I don't understand how to do that.
Mathematics
2 answers:
Murljashka [212]3 years ago
7 0

Answer:

5 * ( 4 + 2 ) = 5 * 6 = 30

Step-by-step explanation:

(5*4) + (2*5) = 20 + 10 = 30

5*4 = 4 people need to pay $5

2*5 = $2 for 5 rides

Distributive Property:

(5*4) + (2*5) = 5 * ( 4 + 2 )

5 * ( 4 + 2 ) = 5 * 6 = 30

alina1380 [7]3 years ago
7 0

Answer:

<h2>$40</h2>

Step-by-step explanation:

Ok, so the distributive property allows us to apply a number evenly over a whole set of numbers.

Equation: 4 (2 x 5) (we distribute the 4 to all terms, since each person experiences those charges.) The answer is $40 for the whole group.

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Step-by-step explanation:

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Kelly buys a sweater for $16.79 and a pair of pants for $28.49. She pays with a $50 bill. How much change should Kelly get back?
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4 0
3 years ago
The length of a rectangle is six times its width. If the area of the rectangle is 384^2, find its perimeter.
Leno4ka [110]

Answer:

Perimeter, P = 112 meters

Step-by-step explanation:

  • Let the length of the rectangle be L.
  • Let the width of the rectangle be W.

Translating the word problem into an algebraic expression, we have;

L = 6W  ...... equation 1

<u>Given the following data;</u>

  • Area of rectangle = 384 m²

To find the perimeter of the rectangle;

First of all, we would determine the dimensions of the rectangle using its area.

Mathematically, the area of a rectangle is given by the formula;

Area of rectangle = LW  ..... equation 2

Substituting eqn 1 into eqn 2, we have;

384 = 6W(W)

384 = 6W²

Dividing both sides by 6, we have;

W² = 384/6

W² = 64

Taking the square root of both sides, we have;

W = √64

Width, W = 8 meters

Next, we would find the length;

L = 6W

L = 6 * 8

Length, L = 48 meters

Lastly, we would determine the perimeter of the rectangle using the above dimensions;

Mathematically, the perimeter of a rectangle is given by the formula;

Perimeter = 2(L + W)

Substituting the values into the formula, we have;

Perimeter, P = 2(48 + 8)

Perimeter, P = 2(56)

<em>Perimeter, P = 112 meters</em>

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3 years ago
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