Answer:
m = 2.25
b = 4.15
Step-by-step explanation:
Let us consider the points (1, 6.4) & (3, 10.9)
Slope (m) = (10.9 - 6.4)/(3 - 1) = 4.5/2 = 2.25
Now, by point slope formula of a line, we have:
Equating it with y = mx + b, we find:
m = 2.25
b = 4.15
Answer:
Part 1) The new distance from the water to the top of the tank is 
Part 2) The maximum number of balls that can be put into the tank with the tank not overflowing is 95
Step-by-step explanation:
step 1
Find the total volume of the tank

step 2
Find the volume of the tank if the water level is two inches below the top of the tank

step 3
Find the volume of the glass sphere
The volume of the glass sphere is equal to

we have

assume

substitute


step 4
What is the new distance from the water to the top of the tank?
we know that

so
using proportion
Find how many inches correspond a volume of 

The new distance from the water to the top of the tank is

step 5
Find how many of these balls can be put into the tank with the tank not overflowing
we know that
The volume of one ball is equal to 
using proportion

therefore
The maximum number of balls that can be put into the tank with the tank not overflowing is 95
26/40 = 13/x
26x = 520
x = 520/26
x = 20 <== ur answer
Answer:
<h2>11.25min</h2>
Step-by-step explanation:
In this problem, we first need to find the rate at which syn burns calories per minute
so in 15mins, he burns 200 calories
in 1 mins he will burn x
x= 200/15
x=13.33 calories per min this is the rate
So in one minute he will burn 13.33 calories
Now using the idea of rate=quantity/time
the rate=13.33
quantity=15 calories
time=?
time=quantity/rate
time=150/13.33
time=11.25min
Alternatively
(very fast approach)
if syn spend 15min to burn 200 cal
then he will spend x min to burn 150 cal
cross multiply
x=(150*15)/200
x=2250/200
x=11.25mins
The answer is 12.1
Have a nice day