Ask question

Ask question

All categories

3 years ago

14

Curtis bought 4 DVDs that each cost the same amount. He had a $10-off coupon and spent $46 in all. What was the cost of each DVD

before the coupon was applied?

2 answers:

statuscvo [17]3 years ago

8 0

The answer is 14 dollars because 56 divided by 4 gives 14

My name is Ann [436]3 years ago

8 0

86

Step-by-step explanation:

each dvd is $10 off, so you would add $40 for the money taken off, then that would be the amount he would've spent.

You might be interested in

What two rational expressions sum to 2x+3/x^2-5x+4

Anni [7]

Answer:

$\frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)}$

Step-by-step explanation:

Given the rational expression: $\frac{2x + 3}{x^2 - 5x + 4}$ , to express this in simplified form, we would need to apply the concept of partial fraction.

Step 1: factorise the denominator

$x^2 - 5x + 4$

$x^2 - 4x - x + 4$

$(x^2 - 4x) - (x + 4)$

$x(x - 4) - 1(x - 4)$

$(x- 1)(x - 4)$

Thus, we now have: $\frac{2x + 3}{(x- 1)(x - 4)}$

Step 2: Apply the concept of Partial Fraction

Let,

$\frac{2x + 3}{(x- 1)(x - 4)}$ = $\frac{A}{x- 1} + \frac{B}{x - 4}$

Multiply both sides by (x - 1)(x - 4)

$\frac{2x + 3}{(x- 1)(x - 4)} * (x - 1)(x - 4)$ = $(\frac{A}{x- 1} + \frac{B}{x - 4}) * (x - 1)(x - 4)$

$2x + 3 = A(x - 4) + B(x - 1)$

Step 3:

Substituting x = 4 in $2x + 3 = A(x - 4) + B(x - 1)$

$2(4) + 3 = A(4 - 4) + B(4 - 1)$

$8 + 3 = A(0) + B(3)$

$11 = 3B$

$\frac{11}{3} = B$

$B = \frac{11}{3}$

Substituting x = 1 in $2x + 3 = A(x - 4) + B(x - 1)$

$2(1) + 3 = A(1 - 4) + B(1 - 1)$

$2 + 3 = A(-3) + B(0)$

$5 = -3A$

$\frac{5}{-3} = \frac{-3A}{-3}$

$A = -\frac{5}{3}$

Step 4: Plug in the values of A and B into the original equation in step 2

$\frac{2x + 3}{(x- 1)(x - 4)} = \frac{A}{x- 1} + \frac{B}{x - 4}$

$\frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)}$

7 0

3 years ago

13) The side length of the following cube is 8 cm. what is the length of the diagonal through its center?

Scorpion4ik [409]

Answer: $\sqrt{3}$ x 8 = 13.8564064606

Step-by-step explanation: The main diagonal of any cube can be found by multiplying the length of one side by the square root of 3 ( $\sqrt{3}$ ). Therefore, square root 3 ( $\sqrt{3}$ ) is multiplied by the length (8 in our case) of either 6 faces of the cube.

Hope it helped!

5 0

3 years ago

Read 2 more answers

918 cubic yd = _cubic feet

seraphim [82]

918x3=2754 the answer is 2757 wecome

8 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B3%7D%20%20%3D%20%7B27%7D%5E%7B%3F%7D%20" id="TexFormula1" title=" \sqrt{3} = {27

marishachu [46]

Let the unknown be x

$\sqrt{3} = 27^x$

$3^\frac{1}{2} = 3^{3x}$

Both the base number are 3, so we equate the exponent:

$\dfrac{1}{2} = 3x$

$x = \dfrac{1}{2} \div 3$

$x = \dfrac{1}{2} \times \dfrac{1}{3}$

$x = \dfrac{1}{6}$

Answer: 1/6

3 0

3 years ago

6=2(y+2) i need help

Snowcat [4.5K]

Answer:

y=1

Step-by-step explanation:

6=2(y+2)

6=2y+4

2=2y

y=1

3 0

2 years ago

Read 2 more answers