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shtirl [24]
3 years ago
12

Phillip bought 12 used CDs and DVDs. CDs cost $2 each, and DVDs cost $3 each. He spent $31, not including tax. How many DVDs did

Phillip buy?
Mathematics
2 answers:
Volgvan3 years ago
7 0

He got 7 dvds, answer is c on flvs

Ghella [55]3 years ago
6 0
So he bought 12 CDs and DVDs (in total), CDs + DVDs = 12

Each cd is 2 and each cd is 3

Total spent = 31 (2*x + 3*y)

I call x cds and y dvds

x+y = 12

2x+3y = 31

Solve for y

Move x to the right with changed sign

y = 12-x (DVDs, you can also write x = 12-y)

And substitute 12-y in the equation

2x + 3(12-x) = 31

2x + 36 - 3x = 31

2x - 3x = 31 - 36

-x = -5

x = 5 (CDs)

To find DVDs let's rewrite y = 12-x

y = 12-5 = 7 (DVDs)
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An isosceles triangle is one in which 2 angles have similar measure while the other one is different. In this case, the 2 vertex angles have a measure of 42 degrees, therefore the third angle which is equal to (2x + 3) is:

(2x + 3) + 42 + 42 = 180

2x + 3 = 96

<span>x = 46.5°</span>

5 1
3 years ago
Read 2 more answers
Is The polar form of a complex number is unique?
Pie

Answer:

  no

Step-by-step explanation:

The angle in the polar form of a complex number can have any multiple of 2π radians added to it, and the number will be the same number. That is, there are an infinite number of representations of a complex number in polar form.

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3 years ago
Mariah’s parents got into a car accident. They took their car to the
KatRina [158]

Answer: The mechanics spent about 8.5 hours working on the car

Step-by-step explanation: The total bill was $637, a portion of that being getting the parts which was $280. 637-280=357

357/42=8.5

5 0
3 years ago
The same bedroom furniture set costs $1,500 in both Florida and Alabama. The table gives a breakdown of the taxes someone would
vitfil [10]

Answer:

A: True

B, C and D: False

Step-by-step explanation:

We have a total sales tax for Alabama that is:

T_A=4.225+1.375+3=8.6

The total sales tax for Florida is:

T_F=6.5+1+1.625=9.125

The total sales tax is greater in Florida than in Alabama.

A. The furniture set is cheaper in Alabama, because the amount of sales tax will be lower by about $8. TRUE

The sales tax difference in this purchase can be calculated as:

1500(T_F-T_A)=1500\left(\dfrac{9.125-8.6}{100}\right)=1500\cdot 0.00525=7.875\approx 8

B. The furniture set is cheaper in Florida, because the amount of sales tax will be lower by about $10. FALSE (it is cheaper in Alabama)

C. The furniture set is cheaper in Alabama, because the amount of sales tax will be lower by $10. FALSE (the sale tax in Alabama is $129)

The amount of sales tax in Alabama is:

ST_A=1500\cdot T_A=1500\cdot 0.086=129

D. The furniture set costs the same in either state, because the amount of sales tax will be the same for the two locations. FALSE (it is not the same in both states).

7 0
3 years ago
The base of the 37 foot ladder is 9 feet from the wall of a building. will the top of the ladder reach a window ledge 35 feet ab
AnnZ [28]

Answer:

The answer to your question is Yes.

Step-by-step explanation:

The math in this problem is that we need to use the Pythagorean theorem to solve it. Pythagorean theorem is part of trigonometry a branch of Maths.

Data

base = 9 ft                      

length = 37 ft

height = ?

Pythagorean theorem

                                     c² = a² + b²

length = c

base = a

height = b

                                   37² = 9² + b²

-Solve for b

                                    b² = 37² - 9²

-Simplify

                                    b² = 1369 - 81

                                    b² = 1288

-Result

                                   b = 35.88

-Conclusion

The ladder will reach a height higher than 35 ft.  

8 0
3 years ago
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