Given: Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n + 8.

Simplify Q + S - T.

Answers

Answer 1

Answer: $Q+S-T=7m+3n+n+5-(-m-3n+8)\nQ+S-T=7m+4n+5+m+3n-8\nQ+S-T=8m+7n-3$

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Find the missing side length of this triangle: a= 8, b= 15. (attached photo)

Answers

the missing side length is 17.

Complete the question:

336=54+ 29+ p
find what p is. Then, explain your answer

Answers

Answer is 253. 336-54=282-29=253. 253+54+29=336

Find the value of t in the equation t+5+3t=1

Answers

$t+5+3t=1\nt+3t+5=1\n4t+5=1\n4t+5-5=1-5\n4t=1-5\n4t =-4\n\n\boxed{\bf{t=-1}}$

First combine like terms. 1t+3t=4t
5+4t=1
Now subtract 5 from both sides.
4t=-4
Now divide both sides by 4.
t=-1
To check, let's plug in -1 for t.
-1+5+3*-1=
3*-1=-3
-1+5+-3=1
t=-1

Find the perimeter of a trapezoid with sides that measure 14.6 inches, 5.5 inches, 8.4 inches, and 16 inches.

Answers

Perimeter = sum of all sides = 14.6 + 5.5 + 8.4 + 16 = 44.5 inches

The incorrect work of a student to solve an equation 2(y + 8) = 4y is shown below:Step 1: 2(y + 8) = 4y
Step 2: 2y + 10 = 4y
Step 3: 2y = 10
Step 4: y = 5

Which of the following explains how to correct Step 2 and shows the correct value of y?

The equation should be y + 8 = 4y after division by 2; y = 4
The equation should be y + 8 = 4y after division by 2; y = 6
2 should be distributed as 2y + 16; y = 4
2 should be distributed as 2y + 16; y = 8