She can make 42 identical packages which contains 2 chocolate chip cookies and 1 sugar cookies.
86 / 2 = 43 chocolate chips cookies
42 / 1 = 42 sugar cookies
Though the chocolate chip cookies can make 43 packs, the sugar cookies cannot fulfill the extra pack for it only has 42 pieces. That is why the maximum number of package that has identical content is 42 packages.
Answer:
Step-by-step explanation:
It is a matter of just substituting the values into the given equation.
4m^2-2n+5
If m=5 and n=9 then it becomes
4(5^2)-2(9)+5
4(25)-18+5
100-18+5
87
Answer:
168 cm³
Step-by-step explanation:
No matter if it is not oblique or is, you still multiply the height by the area of the base:

I can assist whenever I can.
Hello!
To solve this, first write two equations. We are given two facts about the situation, so we can write the equations accordingly.
Say the length of the rectangle is l, and the width is w.
<u>The length of a rectangle is 9 inches more than twice its width:</u> 2w + 9 = l, as you're adding 9 to two times the width.
<u>The perimeter of the rectangle is 48 inches:</u> The equation for perimeter is 2l + 2w, so we can just use that in this case to make the equation - 2l + 2w = 48
Now, set up the system of equations.

Now, we can already use substitution to solve. We get from one of the equations that l = 2w + 9, so we can substitute 2w + 9 for l in the other equation, and then solve for w.
2l + 2w = 48
2 (2w + 9) + 2w = 48
4w + 18 + 2w = 48
6w = 30
w = 5
We know one of our variables now. Now, all that's left to do is substitute 5 for w in one of the original equations to solve for l.
2w + 9 = l
2 (5) + 9 = l
10 + 9 = l
19 = l
Therefore, we now have our dimensions. The length of the rectangle is 19 inches, and the width is 5.
Hope this helps!
Answer:
cos Ф = adj / hyp could be either 4/5 or -4/5.
Step-by-step explanation:
If sin Ф = 3/5, then we can assume that the opposite side is 3 and the hypotenuse is 5. Using the Pythagorean Theorem, we find that the adjacent side is 4:
√(5² - 3²) = √16 = ±4.
cos Ф = adj / hyp could be either 4/5 or -4/5.