Answer: 1:3
Step-by-step explanation: You would divide both sides by 6 and get 1:3 poodles to beagles
5x² + |x+1| > 0
5x² + x + 1 > 0
x+1 > 0 because it came from absolute
5x² > 0 because it’s squared
When you try a number you should put it in the original equality
5x² + |x+1|
The given expression is

First, we use the distributive property to get rid of the parenthesis.

Then, we reduce like terms. -2x and 3x are like terms, also 7 and 10 are like terms.

<h2>Therefore, the simplest form of the given expression is <em>x + 17</em>.</h2>
Answer:
a.) Time = 6 hours
b.) Average Speed = 410 miles per hours
c.) Distance = 196 miles
Step-by-step explanation:
<h3><u>a.</u>)</h3>
A coach drives 360 miles at a speed of 60 mph.
So,
Time = Distance ÷ Speed
Time = 360 ÷ 60
Time = 6 hours
<h3>
<u>b.</u>)</h3>
A plan flies 1640 miles in 4 hours.
So,
Average Speed = Distance ÷ Time
Average Speed = 1640 ÷ 4
Average Speed = 410 miles per hours
<h3>
<u>c.</u>)</h3>
A bus drives 3½ hour at an average Speed of 56 mph.
So,
3½ hour = 3.5 hour
Distance = Average Speed × Time
Distance = 56 × 3.5
Distance = 196 miles
<u>-TheUnknownScientist 72</u>
Answer:
<h3>
-11, -9, -7</h3><h3>
the smallest: 2x+1 = -11</h3>
Step-by-step explanation:
{z - some integer}
2z+1 - the smallest number
7(2z+1) - <u>seven times the smallest number</u>
2z+1+2=2z+3 - the middle number
2z+3+2 = 2z+5 - the largest number
2(2z+5) - <u>twice the largest number</u>
7(2z+1) + 2(2z+5) - the sum of 7 times the smallest and twice the largest
7(2z+1) + 2(2z+5) = -91
14z + 7 + 4z + 10 = -91
-17 -17
18z = -108
÷18 ÷18
z = -6
2z+1 = 2(-6)+1 = -12 + 1 = -11
2z+3 = 2(-6)+3 = -12 + 3 = -9
2z+5 = 2(-6)+5 = -12 + 5 = -7