Answer:
Im sorry i dont know the points of the linear equation i just took the test and got the answer wrong so yea.
Step-by-step explanation:
Let the sister be x years old.
Then Jessica is x + 5 years old.
Their ages add to 47.
x + x + 5 = 47
2x + 5 = 47
2x = 42
x = 21
x + 5 = 26
Jessica is 26, and her sister is 21.
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.
We are given the range of the data that is from 2.35 grams to 4.75 grams- we can call these two the lower and upper llimits respectively. In this case, to find the first class limits, we have to divide the range into 12. The range is 2.40 grams made up of 12 parts of 0.2 grams. The first class hence limits are
lower: 2.35 g
upper: 2.35+0.2 =2.55 g