Slope of the line passes through (5,10) and (7,12) is 1.
Step-by-step explanation:
Given,
The two points are (5,10) and (7,12).
To find the slope passing through the given points.
Formula
The slope of the line passing through (
) and (
) is 
Now, putting 
we get,
Slope = 
= 
= 1
Hence,
Slope of the line passes through (5,10) and (7,12) is 1.
Answer:
9 years
Step-by-step explanation:
Simple interest for any amount p is given by
SI = P*R*T/100
where R is the rate of interest
T is the time period in years
given
P =$1500
R = 4%
T we have to find
SI = $540
Thus, putting the given value in SI = P*R*T/100
540 = 1500*4*T/100
T = 540*100/1500*4 = 9 years
Thus, It will take 9 years for Sam to earn $540
Answer:
13
Step-by-step explanation:
To solve this, lets first find the number of footballs he still needs:
75-24 = 51
Now to find the number of packages, divide by 4, since there are 4 balls per package:
51/4 = 12 Remainder 3
Since there is a remainder, and the Coach MUST have at least 75, then we need to add a package to include the remainder:
12 + 1 = 13 Packages
X= 95
z=180
y=147
based on from making sure each triangle added up to 180 degrees and with the outer angles
Answer:
a) The system that models the situation is:
p + 0.2m = 3
p + m = 5
b) The solution of the system is:
m = 2.5
p = 2.5
Step-by-step explanat:
It is desired to obtain 5 pounds of a mixture containing 40% peanuts and 60% almonds.
It has a mixture of 20% peanuts and 80% almonds.
p: number of pounds of peanuts
m = amount of mixture
The equation that represents the amount of peanut and mixture that is needed is:
p + m = 5 pounds
m = 5-p (i)
The amount of peanut in total that the mixture should have is:
p + 0.2m = 0.6 (5)
p + 0.2m = 3 (ii)
a) The system that models the situation is:
p + 0.2m = 3
p + m = 5
Now we substitute (i) in (ii) and clear p.
p + 0.2 (5-p) = 3
p-0.2p = 2
p = 2.5 pounds
Now we find m
m = 5 - 2.5
m = 2.5 pounds
b) The solution of the system is:
m = 2.5
p = 2.5
