Answer:
Choice C: Lauren is faster than Kevin, slower than Jeremy.
Step-by-step explanation:
Ok, so it directly says that Jeremy is going at y=12x, or 12 miles per hour. To find how fast Kevin is riding, take two points of the table and use the slope formula to get the speed(.
Slope Formula: (y2-y1) / (x2-x1)
So lets take the table plots (2, 22) and (4, 33) to do this.
(y2-y1) / (x2-x1)
(33-22) / (4-2)
(11) / (2)
The speed of Kevin is 5.5 miles by hour.
Then, it asks for how fast Lauren is going, saying she is twice as fast as Kevin. Therefore, simply do:
5.5 * 2 = 11 miles per hour
To get the third biker's speed.
Now, with all of the speeds of the bikers, we can now compare them. Here's a listing of their speeds to make things easier to compare:
Jeremy: 12 mph
Kevin: 5.5 mph
Lauren: 11 mph
From this, we can see that Lauren is the second fastest. She is slower than Jeremy but faster than Kevin. Therefore, the correct answer choice is C.
Answer:
the way to work these types of problems is to create a table. The table will have three rows and three columns.
The table:
Let x represent the kilograms of nuts, then 138 - x will represent the kilograms of bolts.
Product Amount Cost Total
--------------------------------------------------------
Nuts x .60 .60 * x
Bolts 138 - x .66 .66 * (138 - x)
Mix 138 .65 .65 * (138)
Step-by-step explanation:
The equation:
The nuts plus the bolts must equal the mix or:
.60 * x + .66 * (138 - x) = .65 * 138
I do not like to work with decimals, so multiply each term by 100:
60 * x + 66 * (138 - x) = 65 * 138
Remove the parenthesis and combine like terms:
-6x = -66 * 138 + 65 * 138
-6x = -138
Divide both sides by -6:
x = 23
Solution:
The mixture contains 23 kilograms of nuts.
The mixture contains 138 - 23, or 115 kilograms of bolts.
Answer:
The number of people in a waiting line is a quantitative data as we can count them.
Step-by-step explanation:
Consider the provided information.
The value of quantitative data can be determined by counting or measuring something.
Now consider the provided options.
The player’s number on a baseball uniform, the serial number on a one-dollar bill and the part number of an inventory item is not a quantitative data because we can't measure them.
The number of people in a waiting line is a quantitative data as we can count them.
3 out of 10 quiz because if you divide 3 by 10 it's 0.3 but if you do 4/15 it's 0.26...
Line the decimals up and add like you normally would.But don't forget to put your decimal in your answer
