Answer:
Khalid’s rate is ___140_ miles per hour. Jesse’s rate is _150___ miles per hour. So, _Jesse’s___ train traveled at a faster speed.
Step-by-step explanation:
The general equation of a straight line is
y = mx + b
for y = 150x
We have the slope as 150
This is 150 miles/hour
This relates to Jesse’s train speed
for Khalid, we have his own speed obtainable from the graph
The speed is simply the slope of the graph
We proceed to select two points from the graph and find the slope
The points are; ((1,140) and (4,560)
Mathematically, the slope will be;
m = (y2-y1)/(x2-x1)
m = (560-140)/(4-1) = 420/3 = 140 miles per hour
Answer:
7 grams per pencil
Step-by-step explanation:
49 grams/7 pencils
divided both parts of the fraction by 7 to simplify to the number of grams for just one pencil so you end up with:
7 grams/1 pencil
Answer:
79.45 is a rational number, but not a whole number.
Step-by-step explanation:
A rational number is obtained by dividing one integer by another one to get an integer result. For example, 2/3 equals the rational 78/100 or 842-32=814 that are both integers, which means that they are both valid representation of it. Non-integers are called irrational numbers. Irrationals are also obtained through division sometimes but they do not always end up being an integer at the end even though they still have a finite decimal value for their denominator or numerator (i). Euler's Constant, for instance has the decimal expansion 2.719926... repeated indefinitely and so cannot be represented as an integral.
So for this equation you would divide 150 by 0.4
150/0.4= 375 poles
Answer:
(x+3)^2 + (y-2) ^2 = 25
Step-by-step explanation:
Equation of a circle: (x-h)^2 + (y-k)^2 = r^2
Center at (h,k)
Radius=r
