Suzette ran and biked for a total of 44.75 mi in 4 h. Her average running speed was 6.5 mph and her average biking speed was 14 mph.
Let x = total hours Suzette ran. Let y = total hours Suzette biked.
a) Write the system of two equations you’ll need to solve this problem. (2 points)
b) Use substitution OR linear combination to solve for x and y. Show ALL of your work.
(4 points)
How many hours did Suzette run? How many hours did she bike?
c) Check your work by using substitution.

13

step-by-step explanation:

169-1=168

168-3=165

165-5=160

160-7=153

153-9=144

144-11=133

133-13=120

120-15=105

105-17=88

88-19=69

69-21=48

48-23=25

25-25=0

since it took 13times to completely subtract it hence its square root is 13

30 units^2

step-by-step explanation:

area is l × w

the length is 3

and the width is 10

3 × 10= 30 units squared

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: