The algebraic expression is 20b
<h3>How to determine the algebraic expression?</h3>
The statement is given as:
$20 a ticket
This means that the cost of 1 ticket is $20.
So, the cost of b tickets is
Cost = 20 * b
Evaluate
Cost = 20b
Hence, the algebraic expression is 20b
Read more about algebraic expression at:
brainly.com/question/19245500
#SPJ1
The question is asking us to find the dimensions of the rectangle, which would be the length and width. So, to find this, we must first state our givens, as it is Geometry.
Given: Length of rectangle = 59 + twice the width, diagonal = 2 inches longer than the width
Let's first translate all our givens to numbers. We'll start off by assigning variables that are easy to work with (x, y and z).
x = width
y = length
z = diagonal
Now that we have done that, we need to translate all our givens into numbers. Here is how that would look like:
y = 2x + 59 ←59 plus twice the width (x)
z = y + 2 ←Diagonal = 2 inches more than width
If we draw a diagram, we can see that the diagonal, length, and width all create a right triangle, which means that we can use the Pythagorean Theorem. By using right triangle postulates and theorems, we can deduce that the diagonal is the hypotenuse. Here is what our setup looks like:
x² + y² = z²
<em />Now, all we need to do is plug in the expressions we created for y and z:
x² + (2x + 59)² = [2 + (2x + 59)²]
When we solve for x, we get x = 20. Now, we just plug the x value back into the y equation to get 99. Therefore, the length equals 99 inches and the width equals 20 inches. Hope this helps and have a great day!
Answer:
30 PS4's
Step-by-step explanation:
The manager chose 50/500 PS4's to sample
3/50 were defective
To find how many were defective in all 500, we multiply the fraction by a number that makes the 50 (the sample), into a 500(the total).
That number is 10
Whatever multiplication you do to the bottom of a fraction, you do to the top
3*10 / 50*10
30 / 500 are likely to be defective
