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3 years ago

How can you use a formula for one measurement to write a formula for a different measurement?

Mathematics

1 answer:

Dmitrij [34]3 years ago

3 0

Answer:

Write the formula for one measurement, then solve the formula for the different measurement you want to find and use this new formula to find that measurement.

Step-by-step explanation:

We can understand this through an example.

If we need to find the lenght of a rectangle whose width is 4 feet and whose perimeter is 28 feet, we can use a formula for one measurement to write a formula for a different measurement:

- We need to write the formula for the perimeter of a rectangle:

$P=2l+2w$

Where "l" is the lenght and "w" is the width.

- Since we know the width and the perimeter of the rectangle and we need to find the lenght, we can solve for "l":

$P=2l+2w\\\\P-2w=2l\\\\l=\frac{P-2w}{2}$

Now we get a new formula for calculate a differente measurement (the lenght of the rectangle).

- Substituting values, we get:

$l=\frac{28ft-2(4ft)}{2}=10\ ft$

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Find the percent of increase from 1.5 inches to 6 inches.

svlad2 [7]

Answer:

5.5 inches

Step-by-step explanation: hope it helps

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3 years ago

50 POINTS IF ANSWERED CORRECT(Score for Question 3 of 5 points) 3. Given this equation: 2.5x+6=3.25x+3 (a) Write a real-world pr

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Answer:

below

Step-by-step explanation:

Two students are selling cookies at a bake fair. Jake is selling cookies for $2.50 each plus $6 for the packaging. Kevin is selling cookies for $3.25 each plus $3 for the packaging. How ma cookies would both have to sell to make the same amount of money?

2.5x + 6 = 3.25x + 3

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3 years ago

Read 2 more answers

Sixteen percent of videos are shorter than what

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Answer:

189 seconds

Step-by-step explanation:

16% shorter,

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3 years ago

Read 2 more answers

The phone company Splint has a monthly cellular plan where a customer pays a flat fee for unlimited voice calls and then a certa

koban [17]

Answer: The phone company Splint has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 320 minutes, the monthly cost will be $132. If the customer uses 520 minutes, the monthly cost will be $202.

Step-by-step explanation:

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2 years ago

A number is selected from the set {1, 2, 3, 5, 15, 21, 29, 38, 500}. If equal elemental probabilities are assigned, what is the

Zanzabum

Answer:

The required probability is $\frac{7}{9}$ .

Step-by-step explanation:

Set given is:

S = {1, 2, 3, 5, 15, 21, 29, 38, 500}

Total number of elements in set, $n(S)$ = 9

Let A be the event that the number is less than 29 ({1, 2, 3, 5, 15, 21}).

Number of items in the event A, $n(A)$ = 6

Probability of event A,

$P(A) = \dfrac{n(A)}{n(S)}}=\dfrac{6}{9} \Rightarrow \dfrac{2}{3}$

Formula for probability of any event E:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

Let B be the event that the number is odd (either of {1,3,5,15,21,29}).

Number of items in the event B, $n(B)$ = 6

Probability of event B,

$P(B) = \dfrac{n(B)}{n(S)}}=\dfrac{6}{9} \Rightarrow \dfrac{2}{3}$

The event A and B have a few elements in common, i.e. numbers less than 29 which are odd as well.

The common elements are represented as:

$A \cap B = \{1, 3, 5, 15, 21\}$

$n(A\cap B) = 5$

$P(A \cap B ) = \dfrac{n(A \cap B)}{n(s)}\\\Rightarrow P(A \cap B) = \dfrac{5}{9}$

To find probability of selecting a number which is either less than 29 (event A) or odd (event B),

We have to find $P(A\ or \ B)$ which is represented as $P(A \cup B)$ and the formula is:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)\\\Rightarrow \dfrac{2}{3} + \dfrac{2}{3} - \dfrac{5}{9}\\\Rightarrow \dfrac{12-5}{9}\\\Rightarrow \dfrac{7}{9}$

The required probability is $\frac{7}{9}$ .

7 0

3 years ago