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.
The point of observation is 2500 m away from the foot of the building.
The angle of elevation is 4°.
We need to find the height 'h' of the building.
With respect to 4°,
2500 is the adjacent side.
'h' is the opposite side.
The trigonometric ratio associating opposite & adjacent is tan.
We have
Cross multiplying we get
h = 2500 tan4°
h= 174.82 m
Option B) is the right answer.
Answer:
3/11
Step-by-step explanation:
Divide both the numerator and denominator by 2.
step 1First, see how many letters in MATHCOUNTS are also in TEACH.
M no
A yes
T yes
H yes
C yes
O no
U no
N no
T yes
S no
That is 5 out of the 10 letters.
so
<span>the probability=</span>5/10-------> 1/2
<span>
the answer is1/2</span>
