Answer:
x=-2
Step-by-step explanation:
(2/3)^x-1=27/8
Rewriting the right hand side
(2/3)^x-1=(3/2)^3
We know that a^-b = 1/a^b Hint: { 1/(3/2) = 2/3}
(2/3)^x-1=(2/3) ^-3
The bases are the same, so the exponents are the same
x-1 = -3
x -1+1 = -3+1
x = -2
Every hour, the number of liters decreases by 0.5 liter.
Answer:
See below.
Step-by-step explanation:
So, Nikki earns $12 per hour.
And she also earns a 5% or 0.05 commission of her total sales each day.
On Saturday, she worked eight hours and she earned $139. In other words, she earned 8(12) or $96 from working her hours and another $43 (139-96) from her commission.
Thus:
Where x represents Nikki's total sales on Saturday.
Further notes:
To solve, subtract 96 from both sides and divide by 0.05:
Thus, her total sales that day were $860.
Answer:
7*6-x
or
42-x
Step-by-step explanation:
decrease means subtraction,
product means multiplication
let x be the number you are decreasing by.
I am not really sure how to explain this, but here I go.
you take away x from the number that equals 6*7.
6*7 is 42 and you take away x from that, you get 42-x
or if you want to leave it unsimplified,
6*7-x
Answer:
x = 7, y = 2
Step-by-step explanation:
x= 4y -1
since x is by itself 4y-1 will substitute for x in the other equation x+2y=11
it will become 4y-1+2y=11
+1 +1
add one to both sides since is doesn't have a variable.
it will become 4y+2y= 12 now add 4y+2y
becomes 6y=12
_ _
6 6
divide by 6 on each side and you get y=2.
now x=4(2)-1 you will substitute y into the first equation.
x=8-1 subtract 8 from 1 to get 7.
x=7
y=2
