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natali 33 [55]
3 years ago
6

Misty bought 3 CDs. The country music CD cost $12. The rock music CD cost 2/3 as much as the country music CD. The platinum edit

ion CD cost twice as much as the rock CD. What was the cost of the 3 CDs? What is the hidden question and what is the solution?
Mathematics
1 answer:
kaheart [24]3 years ago
6 0
Country music : $ 12
rock music : 2/3 * 12 = 24/3 = $ 8
platinum : 2 * 8 = $ 16

the total cost is : (12 + 8 + 16) = $ 36

the hidden question ?? 
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Which first step for solving the given system using substitution results in an equation without fractions?
vaieri [72.5K]
The correct answer is solve for y in the second equation.

Step 1: Multiply each equation by a suitable number so that the two equations have the same leading coefficient. ...
Step 2: Subtract the second equation from the first.
Step 3: Solve this new equation for y.
Step 4: Substitute y = 2 into either Equation 1 or Equation 2 above and solve for x.
5 0
3 years ago
Estimate the perimeter and area of the figure to the nearest whole number. Please help!!
solniwko [45]

Answer:

29 ; 37

Step-by-step explanation:

The figure is composed by a square, a rectangle, and a right triangle

The perimeter of the square is 6 units

The perimeter of the rectangle is 10 units

The triangle is composed by a side of 6 units and a side of 5 units

The third side can be find with the Pythagorean theorem

\sqrt{6^2 + 5^2} = \sqrt{36 + 25} = \sqrt{61} = 7,81025

The total perimeter is

6 + 10 + 5 + 7,81025 = 28,81025 = 29

Area of the square = 2^2 = 4 square units

Area of the rectangle = 6 x 3 = 18 square units

Area of the triangle =  (5 x 6)/2 = 15 square units

Total area = 4 + 18 + 15 = 37 square units

8 0
2 years ago
Read 2 more answers
3 lb 9oz + 5lb 10 oz.
Eduardwww [97]

Answer:

9 lb 3 oz

Step-by-step explanation:

(3 + 5) lb + (9 + 10) oz

8 lb + 19 oz

16 oz = 1 lb

(8 + 1) lb + (19 - 16) ox

9 lb 3 oz

8 0
3 years ago
The quotient of 5 plus d and 12 minus w
aev [14]
That expression is written like so:

(5 + d)/(12 - w)
6 0
3 years ago
Complete the proof for the following conjecture.
Ray Of Light [21]

Answer:

Statements                                                      Reasons

AC+CD=AD and AB+BD=AD         Segment Addition Postulate

AC+CD=AB+BD                            Transitive/Substitution Property

AC=BD                                         Given

BD+CD=AB+BD                            Substitution Property

CD=AB                                         Subtraction Property

AB=CD                                         Symmetric Property

Step-by-step explanation:

By segment addition postulate, we can say the following two equations:

AC+CD=AD and AB+BD=AD.

By either substitution/transitive property, you can say AC+CD=AB+BD.

You are given AC=BD, so we use substitution and write AC+CD=AB+AC.

After using subtraction property (subtracting both sides by AC), you obtain CD=AB.

By symmetric property, you may say AB=CD.

So let's write it into the 2 column-proof you have there:

Statements                                                      Reasons

AC+CD=AD and AB+BD=AD        Segment Addition Postulate

AC+CD=AB+BD                            Transitive/Substitution Property

AC=BD                                          Given

BD+CD=AB+BD                             Substitution Property

CD=AB                                          Subtraction Property

AB=CD                                          Symmetric Property

Properties/Postulates used:

Transitive property which says:

If a=b and b=c, then a=c.

Substitution property which says:

If a=b, then b can be substituted(replaced with) for a.

Subtraction property which says:

a=b implies a-c=b-c.

Segment Addition Postulate says:

If you break a segment into two smaller pieces then the measurement of that segment is equal to the sum of the smaller two segments' measurements.

3 0
3 years ago
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