Step by step explanation :
The two points are ,
We can find the midpoint by finding the median of x coordinate and y coordinate .

The equivalent expression of (8x)^-2/3 * (27x)^-1/3 is 1/12x
<h3>How to evaluate the expression?</h3>
The expression is given as:
(8x)^-2/3 * (27x)^-1/3
Evaluate the exponent 8^-2/3
(8x)^-2/3 * (27x)^-1/3 = 1/4(x)^-2/3 * (27x)^-1/3
Evaluate the exponent (27x)^-1/3
(8x)^-2/3 * (27x)^-1/3 = 1/4(x)^-2/3 * 1/3(x)^-1/3
Multiply 1/4 and 1/3
(8x)^-2/3 * (27x)^-1/3 = 1/12(x)^-2/3 * (x)^-1/3
Evaluate the exponent
(8x)^-2/3 * (27x)^-1/3 = 1/12(x)^(-2/3 -1/3)
This gives
(8x)^-2/3 * (27x)^-1/3 = 1/12(x)^(-1)
So, we have
(8x)^-2/3 * (27x)^-1/3 = 1/12x
Hence, the equivalent expression of (8x)^-2/3 * (27x)^-1/3 is 1/12x
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Answer:
part of it is cutted out show a better picture please ill answer it
Step-by-step explanation:
Answer:
18 gallons
Step-by-step explanation:
1/6 of container is 3 gallons
so 6/6 is 18 gallons
Hope this helps. Pls give brainliest.
Answer:
a. Required system of equations is:
c+p = 10
5c+4p = 46
b. 6 cakes were sold
Step-by-step explanation:
Let p be the number of pies and c be the number of cakes.
Then according to given statement " the store sold 10 baked goods"

And
"A cake costs $5 and a pie costs $4"

Using equation 1,

Putting this value of c in equation 2:

Putting p = 4 in equation 1

Hence,
a. Required system of equations is:
c+p = 10
5c+4p = 46
b. 6 cakes were sold