The weight of jacob’s backpack is made up of the weight of the contents of the backpack as well as the weight of the backpack itself. seventy percent of the total weight is textbooks. his notebooks weigh a total of 4 pounds, and the backpack itself weighs 2 pounds. if the backpack contains only textbooks and notebooks, which equation can be used to determine t, the weight of the textbooks?

(a)0.7(t) = t – 4 – 2
(b)0.7(t) = t + 4 + 2
(c)0.7t(4 + 2) = t
(d)0.7(t + 4 + 2) = t

Aline has a slope of 1/4 and passes through point (0.4,-1/2). what is the value of the y-intercept?

Juliana says that she can use the patterns of equivalent ratios in the multiplication table below to write an infinite number of ratios that are equivalent to 6: 10. which statement explains whether juliana is correct? she is correct because she can multiply 6 and 10 by any number to form an equivalent ratio. she is correct because 6: 10 can be written as 1: 2 and there are an infinite number of ratios for 1: 2. she is not correct because the multiplication table does not include multiples of 10. she is not correct because 6: 10 is equivalent to 3: 5 and there are only 9 ratios in the multiplication table that are equivalent to 3: 5.

Michelle and julie work at a catering company. they need to bake 264 cookies for a birthday party that starts in a little over an hour and a half. each tube of cookie dough claims to make 36 cookies, but michelle eats about 1/5 of every tube and julie makes cookies that are 1.5 times as large as the recommended cookie size. it takes about 8 minutes to bake a container of cookies, but since julie's cookies are larger, they take 12 minutes to bake. a. how many tubes should each girl plan to bake? how long does each girl use the oven? b. explain your solution process what did you make? c. what assumptions did you make?