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2 years ago

The perimeter of a rectangular house is 122 ft. the width is 5 ft less than the length. find the length and the width.

Mathematics

1 answer:

monitta2 years ago

6 0

Attached a solution and showed work.

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Translate the sentence into an equation.

Luba_88 [7]

Answer:

The expression of the given statement is 8 y - 2 = 6.

Step-by-step explanation:

Here, let the unknown number = y

Now, product of y and 8 = 8 times y = 8 y

Also, two less than the product = Product - 2

So, two less than the product of 8 and y = 8 y - 2

Now, this above expression is equivalent to 6.

⇒8 y - 2 = 6

Hence the expression of the given statement is 8 y - 2 = 6.

3 0

2 years ago

A pyramid has a square base with sides 8" and a slant height of 5". total area =

Vinil7 [7]

The answer is 224 sq units

6 0

3 years ago

Read 2 more answers

The Super Lotto Plus game consists of a player selecting five different numbers from 1 to 47 and a mega number from 1 to 27 (the

Gnesinka [82]

Answer:

1/41416353 probability of all five numbers and the mega number matching the winning numbers

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, the order of the numbers is not important. So we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Probability of the five numbers matching:

Desired outcomes: 1 -> the matching numbers

Total outcomes: 5 from a set of 47. So

$T = C_{47,5} = \frac{47!}{5!(47-5)!} = 1533939$

Probability:

$p_{S} = \frac{1}{1533939}$

Probability of the mega number matching:

1 from a set of 27. So

$p_M = \frac{1}{27}$

Probability of both matching:

Independent events, so we multiply the probabilities:

$p = p_S*p_M = \frac{1}{1533939}*\frac{1}{27} = \frac{1}{41416353}$

1/41416353 probability of all five numbers and the mega number matching the winning numbers

7 0

2 years ago

What is 10 1/3 x 1/4? that is, what is ten and one third times one fourth?

Phantasy [73]

Answer: 31/12, or 2 7/12

Step-by-step explanation: The answer is actually very simple. All you have to do is to simplify 10 1/3 into 31/3, as 10x3+1=31. Then, you have to multiply 31/3 with 1/4. Do a simple fraction multiplication, and you get 31/12, or 2 7/12 if your teacher is asking for a mixed number. Sometimes simplifying is better

6 0

3 years ago

A student has a total of 233 points on three tests. The scores on the first and second tests are the same. The third score excee

skad [1K]

Answer:

Let the scores on the first two test be x

Let score for third test be 14 exceeds second( or first) = x + 14

Total = 233

x + x + (x + 14) = 233

3x + 14 = 233

3x = 219

x = 73

Score of the third test = x + 14 = 73 + 14 = 87

Therefore, the scores are 73, 73, 87

5 0

2 years ago