MATHEMATICS HIGH SCHOOL

Jasmine wants to use her savings of $1128 to buy video games and music CDs. The total price of the music CDs she bought was $72. The video games cost $43 each. What is the maximum number of video games that Jasmine can buy with her savings?

Answers

Answer 1
Answer:

Answer

Find out the number of video games that Jasmine can buy with her savings .

To proof

Let us assume that the number of video games Jasmine can buy  be x .

As given

Jasmine wants to use her savings of $1128 to buy video games and music CDs.

The total price of the music CDs she bought was $72. The video games cost $43 each.

Than the equation becomes

72 + 43× x = 1128

simplify

72 + 43x = 1128

43x = 1128 - 72

43x = 1056

x = (1056)/(43)

x = 24.6 (approx)

Take

x = 24

Therefore the maximum number of video games that Jasmine can buy with her savings be 24 .

Hence proved
Answer 2
Answer: she can buy 24 video games
1128-72=1056
1056/43=24

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12 girls and 28 boys volunteer to plants trees at a school. The principal divides the girls and boys into identical groups that have girls and boys in each group. What is the greatest number of groups the principal can make?

Answers

The most groups that can be made is the greatest amount that both 12 and 28 can be divided by, or 4.  These four groups will each have three girls and seven boys.

The line y= -3 is a reflection of the line y=5. What is the equation for the line of reflection?

Answers

Answer:

y = 1

Step-by-step explanation:

The line of reflection will be a parallel line midway between y = - 3 and y = 5

y = (-3+5)/(2) = (2)/(2) = 1

line of reflection is y = 1

Answer:

y=1

Step-by-step explanation:

the line of reflection will be a parallel line midway between y=-3and y=5

y=-3+5/2

=2/2=1

Find the value of x so that the function has the given value
f(x) = 4x -3; f(x) = 33

Answers

Answer:

x = 9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Algebra I

  • Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 4x - 3

f(x) = 33

Step 2: Solve for x

  1. Substitute:                    33 = 4x - 3
  2. Isolate x term:               36 = 4x
  3. Isolate x:                       9 = x
  4. Rewrite:                        x = 9

Solve 4(x - 3) - 2x - 1) > 0​

Answers

Answer:

x > 5.5

Step-by-step explanation:

4(x - 3) - (2x - 1) > 0

4x - 12 - 2x + 1 > 0

4x - 2x - 11 > 0

2x - 11 > 0

2x - 11 + 11 > 0 + 11

2x > 11

2x ÷ 2 > 11 ÷ 2

x > 5.5

Answer:

x>13/2

Step-by-step explanation:

4x-12-2x-1>0

2x-13>0

2x>13

X>13/2

Which of the following is most likely the next step in the series?
​

Answers

Answer:

D

Step-by-step explanation:

If y varies directly with x and x=4 when, y=20, find k, the constant of variation.

Answers

Direct variation means [ y = k x ]

Given . . . 20 = k 4

k = 20/4 = 5 .
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