Answer:
The weight of the block that Katie has is 16 1/3 pounds
Step-by-step explanation:
<u>Katie has: 4 full cement blocks and 4/6 (or 2/3 ) of the normal size of a cement block</u>
For one full block, it weighs 3 2/4 ( or 1/2) pounds, if you want to find the answer of the question, you need to multiply the weight with the cement blocks that Katie have.
<u>First do the four full cement blocks:</u>
4 * 3 2/4 = ?
4 * 14/4 = ?
Cancel the 4 that is being multiplied and the 4 that is being divided by 14.
= 14.
<u>Now do the 4/6 (or 2/3) cement block:</u>
2/3 * 3 2/4 = ?
2/3 * 14/4 = ?
Multiply the fractions together:
= 28/12
= 2 1/3
<u>Finally, you add up the full blocks and the 2/3 cement block to get your answer:</u>
2 1/3 + 14 = 16 1/3
The weight of the block that Katie has is 16 1/3 pounds
From the diagram, we know that it is an angle that adds up to 360
So
x+4x+2x+10+5x+50=360
Gather like terms
12x+60=360
Move sixty to the other side as a negative number
12x=300
Divide both sirs by twelve
x is equal to 25
AOB is 2x+10
Sub x in 2*25+10
AOB is 60
BOC is 5x+50
5*25+50, which is 175
BOD is x+2x+10
Which is 3x+10
Sub x
3*25+10 which is 85
:)
Answer:
A. neither a relation nor a function
Step-by-step explanation:
A relation between two sets is a collection of ordered pairs containing one object from each set.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Quadratic equations are not functions. Quadratic equations are not a function because they touch two points that is on the same y-axis. Furthermore, if they are two points that have the same x axis, then it is not a function either. It doesn't have a relation either because there are two outputs that are the same by the x axis for 3x^2 - 9x + 20. Those are x = 1 and x = 2. For proof, you can plug both of them in.
3(1)^2 - 9(1) + 20 = 14
3(2)^2 - 9(2)+ 20 = 14
Both answers have 14 as the y-axis/output. This proves that this quadratic equation is not a relation either. Therefore, this equation is neither a relation nor a function.
Bill and Amy travel the same distance from home to school of 14.4 kilometers. Amy takes 40 minutes of time to arrive to school which means she has a rate of 14.4 km /40 minutes or 6 meters/ second. Bill takes a total 60 minutes to arrive to school. Hence Bill's rate is equal to 14.4 km/60 minutes or 4 meters/ second.Amy's is 2 m/s faster than Bill's speed, then.
