Answer:
8/27 cups
Step-by-step explanation:
Nima uses 2/3 cups of peanuts to make a recipe of 2 1/4 = 9/4 cups of trail mix. If we want to find how many cups of peanuts are there per cup of trail mix, we can do a rule of three:
If 9/4 cups of trail mix need 2/3 cups of peanuts, 1 cup of trail mix need X cups of peanuts:
9/4 cups of trail mix -> 2/3 cups of peanuts
1 cup of trail mix -> X cups of peanuts
9/4 / 1 = 2/3 / X
9/4 = 2/(3*X)
3*X*9 = 4*2
27*X = 8
X = 8/27 cups
Answer:
the second statement is true
Step-by-step explanation:
6 times 2 is 12. B is than answer
y varies directly with x.
The constant of variation is k = 7
Step-by-step explanation:
We have to check whether both vary directly with each other or not.
Every pair of x and y will be considered one by one
If y varies directly with x, it should satisfy y = kx or k = yx
So,
For x= -2, y=-14
For
x=3, y=21
For
x=5, y=35
As k is same for all pairs of x and y, it can be concluded that:
y varies directly with x.
The constant of variation is k = 7
Keywords: Proportion, variation
Learn more about proportion at:
#LearnwithBrainly
Answer: Only one.
Step-by-step explanation:
We are given that in a triangle two side lengths of 10 centimeters and 8 centimeters. The angle between the sides measures 40°.
Suppose there is also a triangle with the same measures.
Then both the triangles are congruent by SAS congruence postulate.
Thus, every triangle with the given measurement are congruent to each other by SAS postulate.
Therefore, only one triangle can be possible with the given measurement.
