Answer:
The expression is not equivalent to other three is 9(n-9) .
Option (B) is correct .
Step-by-step explanation:
Take first expression
= -9 -7n + 16n
= 9n-9
Take second expression
= 9(n-9)
= 9 × n - 9 × 9
= 9n - 81
Take third expression
= n-9+8n
= 9n-9
Take fourth expression
= 9n-9
Therefore expression is not equivalent to other three is 9(n-9) .
Option (B) is correct .
2x+4y=12
y=x-3
Since we know what y equals, we can plug this into the first equation:
2x+4(x-3)=12
We can then distribute:
2x+4x-12=12
And solve for x:
6x-12=12
6x=24
x=4
We can then plug x into the second equation and find y:
y=x-3
y=4-3
y=1
Therefore x=4 and y=1
Answer:
90428160.3 ft³
Step-by-step explanation:
The question is on volume of a pyramid with a square base
The formulae for volume of a pyramid is V=( l×w×h)/3
where l is length of pyramid base, w is width of pyramid base and h is the height of the pyramid
The pyramid has a square base thus l=w= 751 feet
The height of the pyramid is h=481 feet
v= (751×751×481)/3
v=90428160.3 ft³
Answer:
156 minutes
Step-by-step explanation:
So we need to create an equation to represent how Frank's phone company bills him
- I will denote "y" as the total for his bill
- I will denote "x" as the number of minutes Frank uses
So the phone company charges an $8 monthly fee, so this value remains constant and will be our "y-intercept"
They then charge $0.06 for every minute he talks, this will be our "slope"
Combining everything into an equation, we have: y = 0.06x + 8
Now since we were given Franks phone bill total and want to figure out how many minutes he used, we just need to solve the equation for x and plug in our known y value
- y = 0.06x + 8 → y - 8 = 0.06x →
- Then plugging in our y value we get
Frank used up a total of 156 minutes