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Mathematics

1 answer:

ki77a [65]3 years ago

4 0

Answers

1. 9/2

2. 1/8

3. 5/9

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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

Ghella [55]

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)

6 0

3 years ago

Read 2 more answers

The sum of -4x^3+x^2 and -x^3+4x+8

bogdanovich [222]

Answer: -5x³ + x² + 4x + 8

Step-by-step explanation

This is a polynomial expressions of third order.

The equation

(-4x³ + x² ) + (- x³ + 4x + 8)

Adding them together according to their order, we now have

( -4x³ + (-x³) + x² + 4x + 8 )

-4x³ - x³ + x² + 4x + 8

-5x³ + x² + 4x + 8

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3 years ago

Solve each absolute value equation<br> -4[x] + 10 = 50

vlada-n [284]

$\large\boxed{\mathsf{-4[x] + 10 = 50}}\\\large\boxed{\rightarrow\mathsf{-4x + 10 = 50}}\\\\\large\text{SUBTRACT 10 to BOTH SIDES}\\\large\boxed{\mathsf{-4x + 10 - 10 = 50 - 10}}\\\large\text{CANCEL out: 10 - 10 because that gives you 0}\\\large\text{KEEP: 50 - 10 because it helps solve for the x-value}\\\\\large\boxed{\mathsf{50 - 10 = \bf 40}}\\\large\boxed{\mathsf{-4x = 40}}\\\\\large\text{DIVIDE -4 to BOTH SIDES}\\\large\boxed{\mathsf{\dfrac{-4x}{4}=\dfrac{40}{-4}}}$

$\large\text{CANCEL out: }\rm{\dfrac{-4}{-4}}\large\text{ because that gives you 1}\\\large\text{KEEP: }\rm{\dfrac{40}{-4}}\large\text{ because it gives you the x-value answer}\\\\\large\boxed{\mathsf{x = \dfrac{40}{-4}}}\\\\\large\text{SIMPLIFY IT AND YOU HAVE THE RESULT OF THE X! }\\\\\huge\boxed{\text{Therefore, your answer is: \textsf{x = -10}}}\huge\checkmark$