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The expression to be simplified is: (9x^2 - 25) / (3x + 5)
We first factor the numerator: 9x^2 - 25 is a difference of two squares, (3x)^2 - (5)^2, so this can be factored into (3x + 5)(3x - 5).
Then the expression becomes (3x + 5)(3x - 5) / (3x+5), and the 3x + 5 term cancels out, leaving just 3x - 5 as the final answer.
Answer:
a. Ryan 70mph. Janelle 65mph.
b. 4 hours and 48 minutes.
Step-by-step explanation:
a. Ryan 245/3.5=70 mph. Janelle 260/4=65 mph.
b. If Janelle drives 575 miles with the speed of 65 mph, in total it would take her 575/65=8.8 hours, which is 4.8 hours more than 4 hours. (0.8 hours is 48 minutes).
Answer:
y = 60
Step-by-step explanation:
<h3>Step 1: Make sense of the given</h3>
"The ratio of y to x is 3"
This means that,
"The sum of y and x is 80"
This means,
<h3>Step 2: Make use of the facts</h3>
If , then .
We can plug this into the other equation by substitution:
This simplifies to:
Which we can solve out and get:
.
<h3>Step 3: Plug and Chug</h3>
We solved for x, but we need the value of y.
So, we go back to the equation we first derived: "".
And now we substitute the value of x, into this.
By solving this out, we get:
So, the value of y is 60.