4x➕6(503-x)=2296
Distribute the 6 into the parentheses
Let x represent the students
503-x will represent the non-students
4x➕3018➖6x=2296
Then combine like terms
-2x➕3018=2296
Now since you move your constant your sign has to change as well,
-2x=2296➖3018
Then subtract
-2x=-722
Then divide both sides by -2
You are left with x=361
This represents the students
503➖361= 142 which equal the non-students
Therefore your answer is:
361=students
142=non-students
Hope this helps! :3
Answer:
she invested $7013.33 in stocks and she invested $2986.7 in bonds?
Step-by-step explanation:
Let the amount invested in the stock= X
Let the amount invested in the bond= Y
For quantity equation,
X + Y = 10000 ............eqn(1)
✓We are told inheritance in stocks paying 6.5% simple interest = 0.065X
✓we are told She invested the rest in bonds paying 4.25% simple interest= 0.0425Y
The interest equation can be written as
0.065X + 0.0425Y = 582.50.........eqn(2)
We can make X subject of formula from eqn(1)
X= 10000 - Y
Substitute into eqn (2)
0.065(1000-Y) + 0.0425Y= 582.50
Multiply through by 10000
650(10000 - Y) + 425Y = 5825000
6500000 - 650Y + 425Y =5825000
Y= 2986.66
If we substitute Y into (X + Y )= 10000
X+2986.66= 10000
X= 7013.33
hence, she invested $7013.33 in stocks and she invested $2986.7 in bonds?
The formula for surface area of a rectangular prism is 2(length x width) + 2(width x height) + 2(length x height). Plug in the values:
2(8 x 6) + 2(6 x 5) + 2(8 x 5)
Solve:
2(48) + 2(30) + 2(40)
96 + 60 + 80
236
Since its area, it is in cubic inches.
The answer is 236 cubic inches.
Answer:
-33rs
Step-by-step explanation:
First, distribute in the first part of the equation.
3r(4r-5s)=12r-15rs
Now, distribute in the first part of the equation.
2r(-6r-9s)=-12r-18rs
Combine this together.
12r-15sr-12r-18rs
Combine like terms. (12r and -12r will cancel out to 0.)
-33rs
Hope this helps! Have a wonderful day ^^
See attachment for math work and answer.