Answer:
t = 8/9
Step-by-step explanation:
There are many possible solutions that could be expressed as equivalent to the equation 10t - 4t + 3t = 8. With that being said, here is a simplified form, solved for t.
10t - 4t + 3t = 8
6t + 3t = 8
9t = 8
t = 8/9
Each of these form's is an equivalent equation to the one written by Mrs. McAlister.
If you can provide the table of student answers, we could answer which students were correct or wrong. Without the table, we can only guess.
Cheers.
3 gallons would best describe the amount of water in a bucket.
Using systems of equations, we need to eliminate one variable to make it into a 1 variable equation either using elimination or substitution.
Equation 1: 4x - 5y = 18
Equation 2: 5x+y = 58
For equation 2, there is only one y which makes it easy to substitute. So subtract 5x from both sides of the equation to get
y = -5x+58
Then we know what y is in terms of x, so plug it into equation 1.
4x - 5(-5x+58) = 18
It is now an equation with only 1 variable, which we can solve.
Distribute the -5 to (-5x+58)
4x+25x-290 = 18
Combine like terms
29x-290 = 18
Add 290 to both sides
29x = 308
Divide both sides by 29 to isolate the x
x = 308/29 wow what an ugly number, but its alright
Plug in x to equation 2 to find what y is
5(308/29)+y = 58
1540/29+y = 58
Subtract 1540/29 from both sides
y = 142/29
The y value is 142/29
Answer:
Step-by-step explanation:
Given Parallel lines Converse
a). ∠13 ≅ ∠17 a║c Corresponding angles
b). ∠4 ≅ ∠9 b║e Exterior alternate angles
c). m∠19 + m∠22 = 180° a║b Same side exterior angles
d). ∠8 ≅ ∠19 Vertical angles.
e). ∠10 ≅ ∠23 b║c Alternate angles
f). m∠14 + m∠17 = 180° a║c Same side Interior angles
<span>15b^2 + 20b
=5b(3b + 4)
......................</span>