MATHEMATICS MIDDLE SCHOOL

Add the polynomials (4x+11)+(12x+2)

Answers

Answer 1

Answer:

Answer:

16x + 13

Step-by-step explanation:

(4x + 11) + (12x + 2)

combine like terms (add the x's and add the numbers)

4x + 12x = 16x

11 + 2 = 13

(4x + 11) + (12x + 2) =

16x + 13

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Please help!You must roll a total of 9 on two number cubes to win the game. Alex must roll a 6. Who is more likely to win the game on the next turn? Explain.

Answers

There are 36 possible combinations for 2 dices because there are 6 numbers per di
6 has 5 combinations because you must use 2 dices
1+5
2+4
3+3
4+3
5+1
So Alex has $(6)/(36)$ or $(1)/(6)$ chance of getting exactly 6

While 9 has 4 combinations
3+6
4+5
5+4
6+3
So you have $(4)/(36)$ or $(1)/(9)$ chance of getting exactly 9

So Alex has a better chance

To roll a 9, you need a combination of 3 and 6, or 4 and 5, in any order. To roll a 6, Alex needs a combination of 1 and 5, 2 and 4, or 3 and 3, in any order. There are 4 possible ways to roll a 9 and 5 possible ways to roll a 6, so Alex is more likely to win

Round 0.4625 to the nearest cent

Answers

0.4625

The 2 is rounded to a 3 because 5 rounds up.
0.463

The 6 stays the same because 3 rounds down.
0.46

Now I'm not sure if you're talking about money so if you are, the answer would be
$0.46

If you are talking about the specific cent and only cent, you continue rounding.

The 4 is rounded to a 5 because 6 rounds up.
0.5

$0.05

0.4625 rounded to the nearest cent is 0.46

A triangle has an area of 45 square units. Its height is 10 units.What is the length of its base?

Answers

Area = (1/2)*base*height

45 = (1/2)*base* 10

45 = base*5

45/5 = base

9 = base

base = 9

The length of the base is 9 units.

What is the answer and what are the steps to solving it?

Answers

Let's solve your equation step-by-step.
7=−16t+16t+3
Step 1: Simplify both sides of the equation
.7=−16t+16t+3
Simplify: (Show steps)7=3
Step 2: Subtract 7 from both sides.
7−7=3−7

0=−4(no answer)

How many integers are there between √15 and √68? A. Four
B. Five
C. Six
D. Seven