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3 years ago

The length of the rectangle is twice the width. Find the length of the rectangle if the perimeter is 42m.

Mathematics

1 answer:

kompoz [17]3 years ago

8 0

Answer:

28m

Step-by-step explanation:

2x+x=42

3x=42

x=14

However, since the length of the rectangle is twice the width, we'll need to multiply it by 2.

So: 14 times 2=28

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Miguel is playing a game in which a box contains four chips with numbers written on them. Two of the chips have the number 1, on

Iteru [2.4K]

Answer:

$P(X_i=2) =\dfrac{1}{6}$

$P(X_i=-1) =\dfrac{5}{6}$

Step-by-step explanation:

Given the numbers on the chips = 1, 1, 3 and 5

Miguel chooses two chips.

Condition of winning: Both the chips are same i.e. 1 and 1 are chosen.

Miguel gets $2 on winning and loses $1 on getting different numbers.

To find:

Probability of winning $2 and losing $1 respectively.

Solution:

Here, we are given 4 numbers 1, 1, 3 and 5 out of which 2 numbers are to be chosen.

This is a simple selection problem.

The total number of ways of selecting r numbers from n is given as:

$_nC_r = \frac{n!}{r!(n-r)!}$

Here, n = 4 and r = 2.

So, total number of ways = $_4C_2 = \frac{4!}{2!\times 2!} = 6$

Total number of favorable cases in winning = choosing two 1's from two 1's i.e. $_2C_2 = \frac{2!}{2! 0! } = 1$

Now, let us have a look at the formula of probability of an event E:

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

So, the probability of winning.

$P(X_i=2) =\dfrac{1}{6}$

Total number of favorable cases for -1: (6-1) = 5

So, probability of getting -1:

$P(X_i=-1) =\dfrac{5}{6}$

Please refer to the attached image for answer table.

7 0

2 years ago

4(3x + 2) - 5(7x + 5)

Kaylis [27]

-27x - 17
It’s right I used Photomath

3 0

3 years ago

Read 2 more answers

Ryan has a $500 bond with a 6.5% coupon. How much interest will Ryan

oee [108]

D. Is the correct answer

3 0

3 years ago

Read 2 more answers

At the movie theatre, child admission is $5.20 and adult admission is $9.70. On Sunday three time as many adult tickets as child

JulsSmile [24]

Answer:

23 child tickets were sold

Step-by-step explanation:

Using the information given, we can set up an equation to solve for the number of child tickets sold. Since there were three times as many adult tickets as child tickets sold, we can assign the variable 'x' to represent the number of child tickets and '3x' to represent the number of adult tickets. Since we know the cost of each ticket, as well as the total sales, we can set up the following equation:

5.20x + 9.70(3x) = 788.90

Simplify 5.20x + 29.1x = 788.90

Combine like terms: 34.3x = 788.90

Divide both sides by 34.3: x = 23 child tickets

3 0

3 years ago

A graph has a constant of proportionality of 2.54. Let y represent centimeters and x represent inches. What is the unit rate of

Helga [31]

Answer: 2.54 is the rate of the given equation.

Step-by-step explanation:

Let x is the independent variable and y is the dependent variable.

Since, By the definition of proportionality,

y = k x

Where k is the constant of proportionality.

And, Here k = 2.54

Thus, the equation of line is,

y = 2.54 x

since, rate of the equation is the slope of the line.

And, the general equation of line

y = m x +c

Where, m is the slope of the line.

By comparing the equation of line y = 2.54 x with this.

The slope of the line = 2.54

Therefore, 2.54 is the rate of the given equation.

3 0

3 years ago