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Scilla [17]
3 years ago
11

Oscar has $30 from his allowance. There is a video game he wants to buy that costs $17.99, a chocolate bar that costs $0.79 and

a remote control car that costs $8.99.
Mathematics
1 answer:
Airida [17]3 years ago
3 0

Answer:

Balance = \$2.23

Step-by-step explanation:

Given

Allowance = \$30

Video\ Game = \$17.99

Chocolate\ Bar = \$0.79

Remote\ Car = \$8.99

Required [Missing from the question]

What is his balance after purchasing the items

First, calculate total cost of items

Total =Video\ Game + Chocolate\ Bar + Remote\ Car

Total = \$17.99 + \$0.79 + \$8.99

Total = \$27.77

The balance is then calculated as:

Balance = Allowance - Total

Balance = \$30 - \$27.77

Balance = \$2.23

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Answer:

JK = 24

Step-by-step explanation:

Δ BKJ and Δ BCA are similar triangles and ratios of corresponding sides are equal, that is

\frac{JK}{AC} = \frac{BK}{BC} , substitute values

\frac{JK}{40} = \frac{3}{5} ( cross- multiply )

5JK = 120 ( divide both sides by 5 )

JK = 24

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Consider this equation:
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Answer:

  • Plan: separate the variable term from the constant term; divide by the coefficient of the variable.
  • Steps: add 4 to both sides; collect terms; divide both sides by 3.

Step-by-step explanation:

The first step is to look a the equation to see where the variable is in relation to the equal sign, and whether there are any constants on that same side of the equal sign.

Here, the variable terms are on the left, and there is a constant there, as well. The plan for solving the equation is to eliminate the constant that is on the same side of the equation as the variable, then divide by the coefficient of the variable. To find that coefficient, we need to collect terms. In summary, the plan is to ...

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  • collect terms
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Executing that plan, the steps are ...

  -2x -4 +5x +4 = 8 +4 . . . . add 4

  3x = 12 . . . . . . . . . . . . . . . collect terms

  x = 4 . . . . . . . . . divide by 3

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Figure ABCD is transformed to obtain figure A′B′C′D′:
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Answer:

<u>Part A</u>

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    A (-4, 4) → (4, 4)
    B (-2, 2) → (2, 2)
    C (-2, -1) → (2, -1)
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  2. Shift 4 units down:  (x, y-4)
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<u>Part B</u>

Two figures are <u>congruent</u> if they have the same shape and size.  (They are allowed to be rotated, reflected and translated, but not resized).

Therefore, ABCD and A'B'C'D' are congruent.  They are the same shape and size as they have only be reflected and translated.

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