If the measure of ac = 75, what are the lengths of ab and bc? ab is( 5x) and bc (11x-5)

AB + BC = AC         Segment Addition Postulate

(5x) + (11x - 5) = 75  Substitution

16x - 5 = 75             Simplify (add like terms)

16x = 80                  Addition Property of Equality

x = 5                        Divison Property of Equality

AB = 5x  = 5(5)   = 25

BC = 11x - 5   = 11(5) - 5   = 55 - 5   = 50

AB = 25, BC = 50

3.4 pizzas

step-by-step explanation:

given is a scatter plot showing number of pizzas sold during weeks for different issues of coupon

y represents number of pizzas sold and x number of coupons issued

y is marked verticaly and x horizontally

the trend line is given as

y =3.4x+43

this says that even when no coupon is issued pizzas sold will be 43

and rate of change of pizza sold for 1 unit of coupon = slope = 3.4

i.e. when x increases by 1 unit y increases by 3.4 units

hence for each additional coupon issued 3.4 pizzas more will be sold

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.