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2 years ago

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10 tacos and 6 drinks cost $19.50. 7 tacos and 5 drinks cost $14.25. If t is the cost of one taco and d is the cost of one drink

, which of the following systems of equations represents this situation?

1 answer:

katen-ka-za [31]2 years ago

3 0

Answer:

Step-by-step explanation:

You haven't listed any choices.

10t + 6d = 19.50

7t + 5d = 14.25

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A video rental store keeps a list of their top 15 movie rentals each week. This week the list includes 6 action, 4 comedies, 3 d

azamat

Answer:

<h2>32/1125</h2>

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome of event/Total outcome.

If a video rental store keeps a list of their top 15 movie rentals each week, the total outcome is 15.

If the list for the week includes 6 action, 4 comedies, 3 dramas, and 2 mysteries and the store manager removes a copy of each of the 15 movies from the shelf, then randomly selects 3 of the 15 to show on the display monitors in the store, the probability that she selected 2 comedies and 1 action movie will be calculated as shown;

Probability of selecting 2 comedies = 4/15*4/15 = 16/225 (Note that the expected outcome in this case is 4).

Probability of selecting 1 action movie = 6/15 = 2/5

<em>Hence, the probability that she selected 2 comedies and 1 action movie will be equivalent to 16/225*2/5 = 32/1125</em>

<em>Note that the rented movies will have to be returned hence reason for the replacement. </em>

8 0

3 years ago

1. what is the distributive property of 8×59. 2.what is the distributive property of 9×84. 3. what is the distributive property

kherson [118]

1.8x59 is 472
8(59)

2.9x84 is 756
9(84)

3.6x78 is 468
6(78)

4.7x96 is 672
7(96)

7 0

2 years ago

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Which of the following are identities? Check all that apply.

Nata [24]

Answer: The correct identities are: 1 + tan^2x = sec^2x 1 + cot^2x = csc^2x sin^2x + cos^2x = 1 which correspond to B and D

Step-by-step explanation:

T////T

im ok at math if its wrong im sorry T^T

4 0

2 years ago

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An average adult can hear sounds with frequencies between 20 waves per second and 16,000 waves per second. What is the wavelengt

frez [133]

Answer:

The wavelength, of a sound wave with a frequency of 20 waves per second is 15,000,000 m.

Step-by-step explanation:

In this question, we have to calculate the wavelength of a sound wave of frequency 20 waves per second.

We know that the speed of light in air/ vacuum is $3\times 10^{8}$ .

Now by the formula v = nλ , where v = speed of light in air/vacuum, n = frequency of the wave and λ = wavelength in meters,

we put the values

$3\times 10^{8}$ = 20 × λ

λ = $\frac{3\times 10^{8}}{20}$

λ = 15,000,000 m

6 0

3 years ago

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A rectangle in the xy-coordinate plane is formed by the points (1,−4), (1,6), (3,−4), and (3,6). What is the perimeter of this r

Airida [17]

Answer:

Perimeter of the rectangle= $20+2\sqrt{104}$

Step-by-step explanation:

The perimeter of the rectangle with the given coordinates is the sum of its all four sides:

Let the points be A(1,-4), B(1,6), C(3,-4) and D(3,6)

Finding the sides of the rectangle using the Distance formula:

AB=

$\sqrt{(1-1)^2+(6-(-4))^2} \\\\=\sqrt{0+10^2} \\\\=\sqrt{100}\\\\ =10$

BC

$=\sqrt{(3-1)^2+(-4-6)^2} \\\\=\sqrt{2^2+(-10)^2}\\\\ =\sqrt{4+100} \\\\=\sqrt{104}$

CD=

$\sqrt{(3-3)^2+(6-(-4))^2} \\\\=\sqrt{0+10^2} \\\\=\sqrt{100} \\\\=10$

AD=

$\sqrt{(3-1)^2+(6-(-4))^2} \\\\=\sqrt{2^2+10^2} \\\\=\sqrt{4+100}\\\\ =\sqrt{104}$

Perimeter of the rectangle=AB+BC+CD+AD

= $10+\sqrt{104}+ 10+\sqrt{104}$

Perimeter of the rectangle= $20+2\sqrt{104}$

7 0

3 years ago