Maria used one bag of flour to bake some bread and muffins. First, she baked two loaves of bread. Then she used the remaining flour to make muffins. If the bag contained 15 cups of flour, how many muffins did Maria make? recipe - amount of flour needed
bread - 1 1/2 cups per loaf
muffin - 1/3 cup per muffin
rolls - 1/4 cup per roll

a
12 muffins
b
4 muffins
c
36 muffins
d
45 muffins

c

Step-by-step explanation:

1 1/2 cups x 2 bread = 12

12 cups x 3 for 1/3 per recipe =36

C.

Step-by-step explanation:

2 loaves of bread: 1 1/2 (flour per one loaf) * 2 (amt of loaves) = 3 (total flour used)

15 (total amt of flour) - 3 (flour used to bake bread) = 12 (remaining flour)

12 (remaining flour) / 1/3 (flour per muffin) = 36 (muffins able to be made)

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752