This is a funny one. teachers do this to try to confuse you with the numbers. first you need to find out what is important in the question.
2 mammoths, 7 hours, 11 kilometers.
&
5 mammoths, ? hours, 22kilometers.
the amount of mammoths do not matter, because each walk the same speed.
so you only need to look at this.
7 hours to go 11 kilometers
&
? hours to go 22 kilometers
fast answer is. it's twice the distance so it will take twice as long. 14 hours.
solve answer.
7×60min = 420min
420min ÷ 11 kilometers = 38.18181818min per 1 kilometer.
38.18181818 • 22 = 839.999999min round up 840.
840min ÷ 60min = 14 hours
9514 1404 393
Answer:
(a) 75.5
Step-by-step explanation:
There are two ways you can work this.
<u>Pythagorean theorem</u>
Triangle CMP is a right triangle. CM = AC = 55. CP = CB -PB = 55 -15 = 40. Then length PM can be found from ...
PM² +CP² = CM²
PM = √(CM² -CP²) = √(55² -40²) = √1425 ≈ 37.749
The length MN is twice the length of PM, so is ...
MN = 2×PM = 2×37.349 = 75.498
The length of MN is about 75.5.
__
<u>Using chord relationships</u>
The products of the different lengths for the same chord are the same for the crossed chords.
AP×PB = MP×PN
We know MP = PN, so ...
MP = √(AP×PB) = √((55+40)(15)) = √1425
As before, MN = 2×MP = 2√1425
MN ≈ 75.5
Answer:
1. 125,000
3 17.5
4. 15
5. 17.5
Step-by-step explanation:
1. Create a unit rate. 20,000/8 = 2,500 straws per hour. This means in 50 hours multiply 2500*50 = 125,000.
3. Mean is the average and is found by adding all the date points and dividing by the number of them.
15 + 16 + 17 + 23 + 1 1+ 19 + 20 + 15 + 18 + 22 + 15 + 19 = 210
210 / 12 = 17.5
4. The mode is the number that occurs most often. Write the numbers in order and choose the one that happens the most.
11, 15, 15, 15, 16, 17, 18, 19, 19, 20, 22, 23
15 is the mode
5. The median is the number in the middle. If two numbers then take the average. The numbers in the middle when written in order are 17 and 18. So the 17+18 / 2= 17.5
I believe the hourly wage of the assistant is $25 because $25 plus $40 is $60 so 40 + 25 = 60. I hope this helps
Answer:
TRUE:
When x≈2.7, the graphs of f(x) and g(x) intersect
f(x)=g(x) when x=0
Step-by-step explanation:
The graphs of two function y=f(x) and y=g(x) are shown in attached diagram.
These two graphs intersect at two points (0,-3) and about (2.7,2.3). This means that
f(0)=g(0)=-3
and
f(2.7)=g(2.7)=2.3
So, x=0, y=-3 is the solution to the system (the solution to the system is ordered pair (x,y), not only x)
Points (1.5,0) and (2,0) are not solutions, because they are not points of graphs intersection.
When x≈2.7, the graphs of f(x) and g(x) intersect (TRUE)
f(x)=g(x) when x=0 (TRUE)