Answer:
Butter: 2•2/3=4/3=1&1/3 cups
Marshmallows: 24•2/3=16 oz
Cereal: 13•2/3= 26/3=8&2/3 cups
Step-by-step explanation:
To find how much she needs of every ingredient, multiply every ingredient by 2/3.
Answer:
Segment AD is 3, and segment AE is 2.
Step-by-step explanation:
In a triangle, the line joining the mid points of two sides is parallel and half of the third sides of the triangle.
Here, ABC is a triangle,
In which,
AB = 6,
AC = 4,
D∈ AB and E∈AC
Let DE ║BC,
And, ![DE=\frac{1}{2}BC](https://tex.z-dn.net/?f=DE%3D%5Cfrac%7B1%7D%7B2%7DBC)
In triangles ADE and ABC,
( Alternative interior angle theorem )
![\angle AED\cong \angle ACB](https://tex.z-dn.net/?f=%5Cangle%20AED%5Ccong%20%5Cangle%20ACB)
By AA similarity postulate,
![\triangle ADE\sim \triangle ABC](https://tex.z-dn.net/?f=%5Ctriangle%20ADE%5Csim%20%5Ctriangle%20ABC)
∵ Corresponding sides of similar triangle are in same proportion,
![\implies \frac{AD}{AB}=\frac{AE}{AC}=\frac{DE}{BC}](https://tex.z-dn.net/?f=%5Cimplies%20%5Cfrac%7BAD%7D%7BAB%7D%3D%5Cfrac%7BAE%7D%7BAC%7D%3D%5Cfrac%7BDE%7D%7BBC%7D)
![\frac{AD}{AB}=\frac{AE}{AC}=\frac{BC}{2BC}](https://tex.z-dn.net/?f=%5Cfrac%7BAD%7D%7BAB%7D%3D%5Cfrac%7BAE%7D%7BAC%7D%3D%5Cfrac%7BBC%7D%7B2BC%7D)
![\frac{AD}{AB}=\frac{AE}{AC}=\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7BAD%7D%7BAB%7D%3D%5Cfrac%7BAE%7D%7BAC%7D%3D%5Cfrac%7B1%7D%7B2%7D)
![\implies AD = \frac{AB}{2}\text{ and }AE =\frac{AC}{2}](https://tex.z-dn.net/?f=%5Cimplies%20AD%20%3D%20%5Cfrac%7BAB%7D%7B2%7D%5Ctext%7B%20and%20%7DAE%20%3D%5Cfrac%7BAC%7D%7B2%7D)
![\implies AD = \frac{6}{2}=3\text{ and }AE =\frac{4}{2}=2](https://tex.z-dn.net/?f=%5Cimplies%20AD%20%3D%20%5Cfrac%7B6%7D%7B2%7D%3D3%5Ctext%7B%20and%20%7DAE%20%3D%5Cfrac%7B4%7D%7B2%7D%3D2)
Hence, the correct option would be,
Segment AD is 3, and segment AE is 2.
F(x)= 3/16x to the third power - 9/4x + 3
Answer:
C
Step-by-step explanation:
First things first, we need to simplify (8^2)^-4. When a number is raised to a power, and the result of that is raised to another power, the two powers can be multiplied together to simplify. In this case, 2 * -4 = -8, so the question is asking how 8^-8 can be written.
8^-8 is the same as multiplying 8 8s together, and then finding the reciprocal (put it into a fraction where the original number is the denominator and 1 is the numerator).
Therefore, the 1 over the 8 8s multiplied together is the correct answer.