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Deffense [45]
3 years ago
7

A store owner mixes 2 lb of candy that costs x dollars per pound with 3 lb of candy that costs $1.50 per pound. She sells the mi

x for $2.50 per pound.
How much did the 2 lb of the first type of candy cost the owner?
Mathematics
1 answer:
Oxana [17]3 years ago
4 0

A store owner mixes 2 lb of candy that costs x dollars per pound with 3 lb of candy that costs $1.50 per pound. She sells the mix for $2.50 per pound.

  • Note that: x represents the cost per pound (lb) of the first typr of candy

The Algebraic expression for the above statement is given as:

2lb × $x + 3 Ib × $1.50 = $2.50(2lb + 3lb)

2x + 4.5 = 12.5

Collect like terms

2x = 12.5 - 4.5

2x = 8

Divide both sides by 2

2x/2 = 8/2

x = 4

The cost of the 1 pound of first type of candy is $4

  • The cost of 2 pounds(lb) of the first type of candy is calculated as:

2 x $4

= $8

To learn more, visit the link below:

brainly.com/question/18120945

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3 years ago
The area of a rectangle is 42 ft squared, and the length of the rectangle is 5 ft more than twice the width. Find the dimensions
stira [4]

Answer:

<h3>Length = 12 ft</h3>

Width = \frac{7}{2} ft

Step-by-step explanation:

Given,

Area of rectangle = 42 \:  {ft}^{2}

Width = X

Length = 2x + 5

Now,

x(2x + 5) = 42

2 {x}^{2}  + 5x   = 42

2 {x}^{2}  + 5x - 42 = 0

2 {x}^{2}  + 12x - 7x - 42 = 0

2x(x + 6) - 7(x + 6) = 0

(2x  - 7)(x + 6) = 0

Either

2x - 7 = 0

2x = 0 + 7

2x = 7

x =  \frac{7}{2}

Or,

x + 6 = 0

x = 0 - 6

x =  - 6

Negative value can't be taken.

So, width = \frac{7}{2} ft

Again,

Finding the value of length,

Length = 2x + 5

2 \times  \frac{7}{2}  + 5

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7 0
3 years ago
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Match each whole number with a rational, exponential expression. 1. 512 2. 8 3. 343 4. 216 5. 729 6.
Crazy boy [7]

Answer:

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2. 2^3 = 8

3. 7^3 = 343

4. 6^3 = 216

5. 3^6 = 729

Step-by-step explanation:

To start we have to express the number as a multiplication of prime numbers, from there we can take the expression as a power

1.

2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 512

2^9 = 512

2.

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2^3 = 8

3.

7 x 7 x 7 = 343

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4.

6 x 6 x 6 = 216

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5.

3 x 3 x 3 x 3 x 3 x 3 = 729

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(84x - 69y) - (65x + 34y)
Svetach [21]

(84x - 69y) - (65x + 34y)

Remove the parenthesis and combine the like terms:

84x - 65x = 19x

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Combine for final answer:

19x -103y

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Answer:

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