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worty [1.4K]
3 years ago
15

Compact discs (CDs) cost $12 each at the Music Emporium. The company charges $4.50 for shipping and handling, regardless of how

many compact discs are purchased.
Mathematics
1 answer:
Lena [83]3 years ago
4 0

Answer:

1    $16.50

2    $28.50

3    $40.50

$4.50 + $12c

$100.50

Step-by-step explanation:

Please find attached the complete question

Total cost in dollars = fixed cost + (variable cost x number of CDs bought)

fixed cost = $4.50

variable cost = $12

number of cds bought = c

total cost in dollars = $4.50 + $12c

total cost in dollars when 1 cd is bought = $4.50 + $12(1) = $16.50

total cost in dollars when 2 cds are bought = $4.50 + $12(2) = $28.50

total cost in dollars when 3 cds are bought = $4.50 + $12(3) = $40.50

total cost in dollars when 8 cds are bought = $4.50 + $12(8) = $100.50

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A dolphin was swimming 4 feet below sea level. The number line shows the
Airida [17]

Answer:

-4+(-3)= -7. The dolphin is -7 feet below sea level

Step-by-step explanation:

Start at -4 on the number line. When you add a negative number to a negative number, you move left on the number line. Move 3 units to the left to land at -7. The dolphin is 7 feet below sea level.

8 0
3 years ago
part 3. Find the value of the trig function indicated, use Pythagorean theorem to find the third side if you need it.​
Nat2105 [25]

Answer:  \bold{9)\ \sin \theta=\dfrac{1}{3}\qquad 10)\ \sin \theta = \dfrac{4}{5}\qquad 11)\ \cos \theta = \dfrac{\sqrt{11}}{6}\qquad 12)\ \tan \theta = \dfrac{17\sqrt2}{26}}

<u>Step-by-step explanation:</u>

Pythagorean Theorem is: a² + b² = c²   , <em>where "c" is the hypotenuse</em>

<em />

9)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{4}{12}\quad \rightarrow \large\boxed{\dfrac{1}{3}}

Note: 4² + (8√2)² = hypotenuse²   →   hypotenuse = 12

10)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{16}{20}\quad \rightarrow \large\boxed{\dfrac{4}{5}}

Note: 12² + opposite² = 20²   →   opposite = 16

11)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{\sqrt{11}}{6}\quad =\large\boxed{\dfrac{\sqrt{11}}{6}}

Note: adjacent² + 5² = 6²   →   adjacent = √11

12)\ \tan \theta=\dfrac{\text{side opposite of}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{17}{13\sqrt2}\quad =\large\boxed{\dfrac{17\sqrt2}{26}}

Note: adjacent² + 7² = (13√2)²   →   adjacent = 17

5 0
3 years ago
Sam earned $450 during winter vacation. He needs to save $180 for a camping trip over spring break. He can spend the remainder o
lesantik [10]
180+x=450 idk if this is wrong
4 0
3 years ago
Read 2 more answers
HOW MANY BASEBALLS CAN FIT INTO THE TRACTOR TRAILER. THE TRAILER DIMENSIONS ARE 301.5"L X 96.99"W X 105.04"H AND CIRCUMFERENCE R
Shkiper50 [21]
Volume of tractor = length x width x height = 301.5 x 96.99 x 105.04 = 3,071,630.624

For baseballs of 9 inches:
9=2\pi r \\  \\ r= \frac{9}{2\pi}

Volume = \frac{4}{3} \pi r^3= \frac{4}{3} \pi \left( \frac{9}{2\pi} \right)^3=12.31

Number of 9 inches baseballs = \frac{3,071,630.624}{12.31} = 249,513

For baseballs of 9.25 inches:
9.25=2\pi r \\  \\ r= \frac{9.25}{2\pi}

Volume = \frac{4}{3} \pi r^3= \frac{4}{3} \pi \left( \frac{9.25}{2\pi} \right)^3=13.37

Number of 9.25 inches baseballs = \frac{3,071,630.624}{13.36} = 229,824

Therefore, the tractor can contain between 229,824 and 249,513 baseballs.
8 0
3 years ago
4(w + 5) =——w+——<br><br> PLEASE HELP I WILL MARK AS BRAINLIEST IF CORRECT
Rudiy27

Answer:

4(w+5) = 4w+20

Step-by-step explanation:

use distributive property and you get your answer :)

4*w = 4w

4*5=20

I hope this helps :))

8 0
3 years ago
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