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natka813 [3]
3 years ago
13

13. A new CD costs $13.79, plus $0.97 in sales tax. How much do 3 new CDs cost? Explain how

Mathematics
1 answer:
choli [55]3 years ago
6 0

Answer:

the cost of the three new CDs is $44.28

Step-by-step explanation:

Here in this question, we are interested in calculating the cost of 3 new CDs cost.

From the question, we already know the cost of one. The cost of three would be 3 multiplied by the cost of one.

The cost of the three excluding the sales tax = $13.79 * 3 = $41.37

The sales tax for the three pieces = 3 * $0.97 = $2.91

The cost of the three CDs including the sales tax = $41.37 + $2.91 = $44.28

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What is the equation of this graphed line?
Veseljchak [2.6K]

Answer:

Slope Intercept form of the equation is y  = \frac{1}{3} x - 9

Step-by-step explanation:

Here,  the two point line are given as  is A(-6,-3) and B(6,-7)

The slope of the line AB =  m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{-7-(-3)}{6-(-6)}   = \frac{-7 + 3}{6 + 6}   = \frac{4}{12} \\\implies m = \frac{1}{3}

⇒ the slope of AB  is m =  (4/3)

By SLOPE  INTERCEPT FORMULA:

The equation of a line with slope m and a point (x0, y0) is given as

(y-y0)=  m (x-x0)

⇒ The equation of line with point (6,-7) is:  

y + 7 = \frac{1}{3} (x-6)  \implies  3y + 21  - x + 6 - 0\\or, -x + 3y + 27 = 0

Now, the given equation is -x + 3y  = -27

Convert it in the  SLOPE INTERCEPT FORM  y = mx + c

We get, 3y = x - 27

or, y = \frac{1}{3} x - \frac{27}{3} \\\implies y = \frac{1}{3} x - 9

Hence, the Slope Intercept form of the equation is y  = \frac{1}{3} x - 9

3 0
3 years ago
I need help ASAP!
sertanlavr [38]
Sin (x) = 12/13 this is because sine is opposite divided by hypotenuse.
cos (x) = 5/13 this is because cosine is adjacent divided by hypotenuse.
tan (x) = 12/5 this is because tangent is opposite divided by adjacent.
3 0
3 years ago
If the price of a gallon of gas was $0.89 in 1984 and was $3.59 in 2014, what was the average rate of change in the price per ga
mylen [45]

Answer:

0.09

Step-by-step explanation:

avg rate of change is:  change in y/ change in x

so it´d be   3.59 - 0.89 / 2014 - 1984

= 2.7/ 30

= 0.09

note:

The slope formula and the average rate of change formula are the same, just written a bit different, so you could also use:

y2 - y1 / x2 - x1

8 0
3 years ago
I need help! I can't figure out how to do this! So, can you help me?​
Tanzania [10]

Answer:

5 - x=90°

6- angle c= 75°

7- angle a = 90°

8 0
3 years ago
Read 2 more answers
Which rule represents Ro, 180º?
Ksju [112]

Answer: (x, y) = (-x, -y)

Step-by-step explanation:

To solve this, you can match the coordinates of points on the triangles and choose the correct answer from there.

The highest point on the triangle, S, has coordinates of (3, 5).

The reflected triangle's point S has coordinates of (-3, -5).

Point Q on the triangle has coordinates of (1, 0)

Point Q on the reflected triangle has coordinates of (-1, 0).

Matching these two points and their reflections to the answers, the only answer that fulfills both points correctly is (x, y) = (-x, -y).

5 0
3 years ago
Read 2 more answers
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