1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nadusha1986 [10]
3 years ago
7

Martene got a small aquarium for her birthday. The aquarium is a right rectangular prism 18.5 cmlong and 15cm wide. Martene put

3885cm How deep is the water in the aquarium?
Mathematics
1 answer:
Elden [556K]3 years ago
8 0

Answer:

14cm

Step-by-step explanation:

Martelene bought a small aquarium to celebrate her birthday.

The aquarium has a length of 18.5cm, width of 15cm and a volume of 3885 cubic centimeters.

From the question above we are required to calculate the depth of the water in the aquarium

Let A represent the depth of the water in the aquarium

Volume= length×width×height

3885= 18.5 × 15 × A

3885= 277.5A

Divide both sides by the coefficient of A which is 277.5

3885/277.5= 277.5A/277.5

A = 3885/277.5

A= 14cm

Hence the water is 14cm deep into the aquarium.

You might be interested in
HELPPPPPP ASAP What is the length of the third side of the window frame below? (5 points) (Figure is not drawn to scale.) 58a 1)
ollegr [7]

Answer:

The answer is 3) 40.

Step-by-step explanation:

since you're working with the Pythagorean theorem, you should know that a^2+b^2=c^2, therefore, we know that we only have two sides. we have a and c. we know that a = 42 and c = 58, giving us the equation of 42^2+b^2=58^2,

we want to find b!

so we would simply subtract the two.

58^2 - 42^2 = b

b = 1600

now we want to square root,

b = sqrt1600

which in the end, gives us the answer of 40.

4 0
2 years ago
Which equation demonstrates the distributive property?
Oliga [24]

Answer: 3(n-2) =3n-6

Step-by-step explanation: There all separate groupings

7 0
3 years ago
A total of 12 players consisting 6 male and 6 female badminton players are attending a training camp
abruzzese [7]

Step-by-step explanation:

<em>"A total of 12 players consisting 6 male and 6 female badminton players are attending a training camp."</em>

<em />

<em>"(a) During a morning activity of the camp, these 12 players have to randomly group into six pairs of two players each."</em>

<em>"(i) Find the total number of possible ways that these six pairs can be formed."</em>

The order doesn't matter (AB is the same as BA), so use combinations.

For the first pair, there are ₁₂C₂ ways to choose 2 people from 12.

For the second pair, there are ₁₀C₂ ways to choose 2 people from 10.

So on and so forth.  The total number of combinations is:

₁₂C₂ × ₁₀C₂ × ₈C₂ × ₆C₂ × ₄C₂ × ₂C₂

= 66 × 45 × 28 × 15 × 6 × 1

= 7,484,400

<em>"(ii) Find the probability that each pair contains players of the same gender only. Correct your final answer to 4 decimal places."</em>

We need to find the number of ways that 6 boys can be grouped into 3 pairs.  Using the same logic as before:

₆C₂ × ₄C₂ × ₂C₂

= 15 × 6 × 1

= 90

There are 90 ways that 6 boys can be grouped into 3 pairs, which means there's also 90 ways that 6 girls can be grouped into 3 pairs.  So the probability is:

90 × 90 / 7,484,400

= 1 / 924

≈ 0.0011

<em>"(b) During an afternoon activity of the camp, 6 players are randomly selected and 6 one-on-one matches with the coach are to be scheduled.</em>

<em>(i) How many different schedules are possible?"</em>

There are ₁₂C₆ ways that 6 players can be selected from 12.  From there, each possible schedule has a different order of players, so we need to use permutations.

There are 6 options for the first match.  After that, there are 5 options for the second match.  Then 4 options for the third match.  So on and so forth.  So the number of permutations is 6!.

The total number of possible schedules is:

₁₂C₆ × 6!

= 924 × 720

= 665,280

<em>"(ii) Find the probability that the number of selected male players is higher than that of female players given that at most 4 females were selected. Correct your final answer to 4 decimal places."</em>

If at most 4 girls are selected, that means there's either 0, 1, 2, 3, or 4 girls.

If 0 girls are selected, the number of combinations is:

₆C₆ × ₆C₀ = 1 × 1 = 1

If 1 girl is selected, the number of combinations is:

₆C₅ × ₆C₁ = 6 × 6 = 36

If 2 girls are selected, the number of combinations is:

₆C₄ × ₆C₂ = 15 × 15 = 225

If 3 girls are selected, the number of combinations is:

₆C₃ × ₆C₃ = 20 × 20 = 400

If 4 girls are selected, the number of combinations is:

₆C₂ × ₆C₄ = 15 × 15 = 225

The probability that there are more boys than girls is:

(1 + 36 + 225) / (1 + 36 + 225 + 400 + 225)

= 262 / 887

≈ 0.2954

7 0
3 years ago
I know this isn’t math but help<br> What is the role of the Executive Office of the President?
Alexxx [7]

Answer:

The EOP has a ton of responibilities for tasks ranging from communicating the President's message to the American people to promoting our trade interests abroad. The EOP is overseen by the White House Chief of Staff and has traditionally been home to many of the President's closest advisers.

4 0
2 years ago
The ratio of men to women working for a company is to 8 to 5 . If there are employees total 208 , how many women work for the co
Vikki [24]

Answer:

130

ratio of woman to man is : 5/8

5/8×208=130

8 0
2 years ago
Read 2 more answers
Other questions:
  • Dillon words at the park every third day. William words at the park every fourth day. They both last worked together on a Thursd
    13·1 answer
  • Which representation of a transformation on a coordinate grid preserves congruence?
    7·1 answer
  • F (x )= 1/4 x for x = -5
    10·2 answers
  • You send 40 text messages in one month. The total cost is $4.80. How much does each text message cos
    7·2 answers
  • Solve the equation. -5x + 2 = 67
    10·1 answer
  • Explain why the exponents cannot be added in the product 12^3 * 11^3
    9·1 answer
  • What is the order of these numbers from least to greatest?<br><br> 4.03 4.3 4.003
    9·1 answer
  • Please someone help me. I'll give brainliest.
    5·1 answer
  • Answer ASAP! Which statement best illustrates using the vertical line test to determine if the graph below is a function of x?
    11·1 answer
  • How do you solve 7/8+(4/8-2/4)
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!