Answer:
The ratio of net income in the first 6 months, to the last six months is $76,500 / $100,000. This simplifies intuitively as follows:
76500/100000
Dividing by 100: 765/1000
Dividing by 5: 153/200
The denominator 200 is only divisible by the prime numbers 2 and 5, and since the numerator 153 is not divisible by either 2 or 5, this means that this is in simplest form, and the final answer is 153/200.
Step-by-step explanation:
Answer:
A. This is a vertical angle set. As you can see, they are cut by the transversal and have the exact same interior angle, so it is a vertical angle.
B. Since these too are vertical angles, all you have to do is just put each expression on the sides of an equation like so:
5y-29=3y+19
Once you do this, you just need to simplify the equation by putting like terms together, and then you will find the solution for y, which is 24.
C. We know that the solution for y is 24, so we need to plug it into the equation to find, the angle, so if we do 3*24-19, we get 53, so we need to subtract that from 180 degrees, which is the total angle of the straight line, then we can get 127 degrees, which is what angles <7 and <8 are.
Step-by-step explanation:
<h3><u>Question:</u></h3>
The formula h = 120t-16t^2 gives the height h in feet of an object t seconds after it is shot upward from Earth's surface with an initial velocity of 120 feet per second. What will the height of the object be after 6 seconds?
<h3><u>Answer:</u></h3>
The height of object after 6 seconds is 144 feet
<h3><u>Solution:</u></h3>
<em><u>The formula that gives the height of an object is:</u></em>
Where,
h is the height in feet and t is the time in seconds
To find: height of the object be after 6 seconds
To find the height of the object be after 6 seconds, substitute t = 6
Thus height of object after 6 seconds is 144 feet
Answer:
13/2
Step-by-step explanation:
It just is
Answer:
z ≥ 2
Step-by-step explanation:
Step 1: Write inequality
-7z - (-5z - 4) ≤ -3z - 2 + 4z
Step 2: Solve for <em>z</em>
- Distribute negative: -7z + 5z + 4 ≤ -3z - 2 + 4z
- Combine like terms: -2z + 4 ≤ z - 2
- Add 2z to both sides: 4 ≤ 3z - 2
- Add 2 to both sides: 6 ≤ 3z
- Divide both sides by 3: 2 ≤ z
- Rewrite: z ≥ 2
