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3 years ago

Help with my algebra homework

Mathematics

1 answer:

Maru [420]3 years ago

3 0

Let's solve your equation step-by-step.

2x /5 + 3 = x/10 - 1

Step 1: Simplify both sides of the equation.

2x /5 + 3 = x/10 - 1

2/5x + 3 = 1/10x - 1

Step 2: Subtract 1/10x from both sides.

2/5x + 3 - 1/10x = 1/10x - 1 - 1/10x

3/10x + 3 = -1

Step 3: Subtract 3 from both sides.

3 /10x + 3 - 3 = -1 - 3

3/10x = -4

Step 4: Multiply both sides by 10/3.

(10/3) * (3/10x) = (10/3) * (-4)

x = -40/3

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The drama club is selling gift baskets to raise money for new costumes. During the fall play, they sold a combined 18 regular gi

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Answer:

The cost of

Regular baskets = x = $20

Deluxe baskets = y = $42

Step-by-step explanation:

The drama club is selling gift baskets to raise money for new costumes.

Let us represent:

The cost of

Regular baskets = x

Deluxe baskets = y

During the fall play, they sold a combined 18 regular gift baskets and 19 deluxe gift baskets, earning a total of $1,158.

Hence:

18x + 19y = 1158....... Equation 1

During the spring musical, they sold 15 regular gift baskets and 12 deluxe gift baskets, earning a total of $804.

15x + 12y = 804...... Equation 2

Combining them two Equations

18x + 19y = 1158....... Equation 1

15x + 12y = 804...... Equation 2

Multiplying Equation 1 by 15 and Equation 2 by 18 to Eliminate x

270x + 285y = 17370..... Equation 3

270x + 216y = 14472...... Equation 4

We Subtract Equation 4 from Equation 3.

69y = 2898

y = 2898/69

y = $42

Solving for x

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18x + 19 × 42 = 1158

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18x = 1158 - 798

18x = 360

x = 360/18

x = $20

Therefore,

The cost of

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