Short answer 48 cookies
Remark
This is an extremely valuable question if you are going to take chemistry at some point. You have to calculate all three to see what the limiting ingredient is.
Flour
Assuming that all of the flour will be used, you set up a proportion to find out how many cookies will be produced.
1.5 cups of flour / 15 cookies = 5 cups of flour / x Cross multiply
1.5 x = 15 * 5
1.5 x = 75 Divide by 1.5
x = 75/1.5
x = 50 cookies are possible
Sugar
Now you must do the same thing with the sugar
1.25 pounds sugar/15 cookies = 4 / x Cross multiply
1.25 x = 4 * 15
1.25 x = 60 Divide both sides by 1.25
x = 60/1.25
x = 48 cookies possible with 4 pounds of sugar.
Butter
0.5 pounds of butter/15 cookies = 1.75 pounds of butter /x Cross Multiply
0.5 * x = 15 * 1.75
0.5 * x = 26.25 Divide by 0.5
x = 26.25 / 0.5
x = 52.5 Cookies.
Conclusion
The limiting ingredient is the sugar. You can only make 48 cookies with that amount of sugar.
So you will have left over flower. You will have left over butter (even if you round down). But you will use all your sugar. It is the least amount.
Notice that based on the diagram, all of the sides of the triangle are the same length. (The dashes on the sides of the triangle show that the sides are of congruence.) This means that the triangle is an equilateral triangle. An important thing to note about equilateral triangles is that they all have angles of 60°. All angles in equivalent triangles are 60°.
This means that we can set
equal to 60 to solve for
:



Our answer is x = 9.
Answer:
15625
Step-by-step explanation:
your method is correct
Answer:
the awser is d if you round it up
Step-by-step explanation:
Answer:
Step-by-step explanation:
Since the whole right side of that triangle is equal to 28 and the lower portion is 21, then we know the upper portion is 7. Set up a proportion using those sides and the fact that the 2 triangles are similar:
and cross multiply to get
21x = 126 and
x = 6