Answer:
16 cups of cashews
12 cups of almonds
Step-by-step explanation:
Let's say x is the cups of cashews and y is the cups of almonds.
We can write two equations:
x / y = (1/3) / (1/4) = 4/3
x + y = 28
Solve the system of equations using substitution.
x = 4/3 y
4/3 y + y = 28
7/3 y = 28
y = 12
x = 16
Answer:
60
Step-by-step explanation:
Answer:
Division Property of Equality
Step-by-step explanation:
→In Step 4, it is shown that the equation is:
3x = 30
→However, to solve for x, you must get it by itself. This means you need to get rid of the 3 that's being multiplied. So since the 3 is being multiplied to x, you must do the opposite of multiplication, which is division.
→As you can see, the total of 30 is decreased in Step 5, since it has been divided by 3, giving you a total of 10.
This shows that the property of equality that yields Step 5 is the <u>Division Property of Equality.</u>
Answer:
The measures of the angles at its corners are 
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the measure of angle A
Applying the law of cosines


![cos(A)= [215^{2}+125^{2}-185^{2}]/(2(215)(125))](https://tex.z-dn.net/?f=cos%28A%29%3D%20%5B215%5E%7B2%7D%2B125%5E%7B2%7D-185%5E%7B2%7D%5D%2F%282%28215%29%28125%29%29)


step 2
Find the measure of angle B
Applying the law of cosines


![cos(B)= [215^{2}+185^{2}-125^{2}]/(2(215)(185))](https://tex.z-dn.net/?f=cos%28B%29%3D%20%5B215%5E%7B2%7D%2B185%5E%7B2%7D-125%5E%7B2%7D%5D%2F%282%28215%29%28185%29%29)


step 3
Find the measure of angle C
Applying the law of cosines


![cos(C)= [125^{2}+185^{2}-215^{2}]/(2(125)(185))](https://tex.z-dn.net/?f=cos%28C%29%3D%20%5B125%5E%7B2%7D%2B185%5E%7B2%7D-215%5E%7B2%7D%5D%2F%282%28125%29%28185%29%29)


Amy can estimate with 10% instead, so she can just simply move the decimal point of $9.11 to the right, and so it will be estimated to more than 91 cents.