144, 4:6 simplifies to 2:3, if you divide 96 by 2 you get 48, and 48 x 3 = 144
Answer:
1. C
2. B
3. D
4. A
5. B
Step-by-step explanation:
Hey there! :)
Answer:
First part: 2 miles.
Second part: 45 minutes
Third part: 8 mph.
Step-by-step explanation:
We can divide this question into 3 parts.
Begin by solving for the distance traveled after 15 minutes by creating a ratio:
Cross multiply:
20 · 15 = 150 · x
300 = 150x
300/150 = 150x/150
x = 2 miles.
2nd part: How long it took her to ride 6 miles.
Set up another ratio similar to the one used before:
Cross multiply:
20 · x = 6 · 150
20x = 900
20x/20 = 900/20
x = 45 minutes.
3rd part:
For this part, we will need to convert from minutes to hours.
Therefore, her speed is 8 mph.
Add 3 to both sides so that the equation becomes 2x^2 + 7x - 6 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [ -b ± √(b^2 - 4ac) ] / (2a)
x = [ -7 ± √(7^2 - 4(2)(-6)) ] / ( 2(2) )
x = [ -7 ± √(49 - (-48) ) ] / ( 4 )
x = [ -7 ± √(97) ] / ( 4)
x = [ -7 ± sqrt(97) ] / ( 4 )
x = -7/4 ± sqrt(97)/4
The answers are -7/4 + sqrt(97)/4 and -7/4 - sqrt(97)/4.
It would take 4.44 minutes to fill the sink using both faucets P and faucet Q together
<h3>What is an equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Let t represent the time it takes to fill the sink using both faucets together, hence:
(1/10 + 1/8)t = 1
t = 4.44 minutes
It would take 4.44 minutes to fill the sink using both faucets P and faucet Q together
Find out more on equation at: brainly.com/question/2972832
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