Solve for t.
Give an exact answer.
3t – 18 = 41-3
3
-t
4

t = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define equation

3t - 18 = 4(-3 - 3/4t)

Step 2: Solve for t

Distribute 4:                              3t - 18 = -12 - 3tAdd 3t to both sides:               6t - 18 = -12Add 18 to both sides:               6t = 6Divide 6 on both sides:            t = 1

Step 3: Check

Plug in t into the original equation to verify it's a solution.

Substitute in t:                    3(1) - 18 = 4(-3 - 3/4(1))Multiply:                              3 - 18 = 4(-3 - 3/4)Subtract:                             -15 = 4(-15/4)Multiply:                              -15 = -15

Here we see that -15 does indeed equal -15.

∴ t = 1 is a solution of the equation.

2 5 /14

Step-by-step explanation:

−10 2/7 ÷ (−4 4/11)

Change to improper fractions

−10 2/7  = - (7* 10+2)/7 =-72/7

-4 4/11 = -( 11*4+4) = -48/11

-72/7 ÷ -48/11

Copy dot flip

-72/7 * -11/48

Canceling an 8 from the top left and the bottom right

-9/7 * -11/6

Canceling a 3 from the top left and the bottom right

-3/7 * -11/2

33/14

Now we change it back to a mixed number

14 goes into 33 2 times 2*14 = 28

33-28 = 5  this goes over the denominator

2 5 /14