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3 years ago

11

a state park charges a $6 entry fee plus $7.50 per night of camping write an algebraic expression for the cost in dollars of ent

ering the park and camping for n nights

1 answer:

I am Lyosha [343]3 years ago

4 0

C=cost
N=nights
C=$7.50n + $6

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Question 1: find the volume of a cube whose total surface area is 486cm^2

lapo4ka [179]

<h3>The volume of cube is 729 cubic centimeter</h3>

<em><u>Solution:</u></em>

<em><u>The surface area of cube is given as:</u></em>

$Surface\ area = 6a^2$

Where, "a" is the length of side of cube

Given that, surface area = 486 square centimeter

$486 = 6a^2\\\\a^2 = \frac{486}{6}\\\\a^2 = 81\\\\a = 9$

<u><em>Find the volume of cube:</em></u>

$volume\ of\ cube = a^3\\\\volume\ of\ cube = 9^3\\\\volume\ of\ cube = 9 \times 9 \times 9\\\\volume\ of\ cube = 729$

Thus volume of cube is 729 cubic centimeter

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3 years ago

A desk is 39 inches wide. What is the width in yards

Stolb23 [73]

Answer:

1.0833 yd

Step-by-step explanation:

Inches Yards

37" 1.0278 yd

38" 1.0556 yd

39" 1.0833 yd

40" 1.1111 yd

Have a great day! :D

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2 years ago

Find the indicated probability. Round to three decimal places. The participants in a television quiz show are picked from a larg

Arturiano [62]

Answer:

0.033

Step-by-step explanation:

Use binomial probability:

P = nCr pʳ (1−p)ⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1-p).

Here, p = 0.5, q = 0.5, and n = 11.

We need to find P when r is 0, 1, and 2, then add up the results to get the total probability.

r = 0:

P = ₁₁C₀ (0.5)⁰ (0.5)¹¹⁻⁰

P ≈ 0.0005

r = 1:

P = ₁₁C₁ (0.5)¹ (0.5)¹¹⁻¹

P ≈ 0.0054

r = 2:

P = ₁₁C₂ (0.5)² (0.5)¹¹⁻²

P ≈ 0.0269

Therefore, the total probability is:

P = 0.0005 + 0.0054 + 0.0269

P = 0.0328

Round to the thousandths place, the probability is 0.033.

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3 years ago

There are 8 circles and 20 triangles. What’s the simplest ratio of circles to total shapes?

sleet_krkn [62]

Answer:

2:5

Step-by-step explanation:

Because if we look 8:20 can be turned into 8/20 and if we simply we got 2/5 and turn it into 2:5

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3 years ago

Checking account A charged a monthly fee of $5 and a per-check fee of $0.25, and checking account B charged a monthly fee of $6

Genrish500 [490]

First we need to know both the formula of A and B.

The formula of A is
C = 5 + 0.25p
with C representing total cost and p representing the amount of checks.

The formula of B is
C = 6 + 0.15p
with C representing total cost and p representing the amount of checks.

To find the point where A and B cost the same, we solve the following equation:
5 + 0.25p = 6 + 0.15p

Collecting terms gives us
-1 = -0.1p

Now we have to divide by -0.1 and we get.
10 = p
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So our answer: after 10 checks both accounts cost the same amount of money. Answer A.

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2 years ago