At the middle school graduation dance,the DJ played 12 slow dances,which was equal to the quotient of the number of fast dances and 2

Answers

Answer 1

Answer: Say x is the nb of fast dances
You can deduce that 12=x/2
So x=2*12
x=24

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A digital camera for $249.99 at 4% sales tax

In FKR, which side is included between F and R

Answers

The side that is included is F

How many solutions does the system formed by x - y = 3 and ay + 3a = 0 have for a non zero number a? Explain and show how you get the answer please

Answers

Solve both equations for y:
$x-y=3 \ \ \ |-x \n-y=-x+3 \ \ \ |* (-1) \ny=x-3 \n \nay+3a=0 \ \ \ |-3a \nay=-3a \ \ \ |/ a, a \not= 0 \ny=-3$

Set the expressions equal to each other:
$y=y \n x-3=-3 \ \ \ |+3 \nx=0 \n \n(x,y)=(0,-3)$

So, for every nonzero number a the system of equations has one solution.

Least common multiple of 8 and 10?

Answers

Answer:

Step-by-step explanation:

LCM(8,10) = ( 8 × 10) / 2

LCM(8,10) = 80 / 2

LCM(8,10) = 40

Martin has 15 texts messages on his phone .Two thirds of them are from his sister how many texts does martin have from his sister? I need three different ways to calculate this answer?

Answers

15/3=5. 5x2=10. 2/3=66.66%. 10%=1.5 5%=0.75 1%=0.15 0.66 rounds to 1 1.5x6=9. 9+0.76+1.5+1.5=10. 2:3=10:15.

Divide 15 by 3 and add that number to itself

Multiply 15 by (2/3) (don't forget parentheses if you are using a calculator)

Draw a pic and shade in two thirds

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////=shade in

Explain how you know whether to add or subtract when you use the distributive property to multiply

Answers

When you are multiplying by a sum you can add then multipy

How to solve -6x + 3 = 4x + 11

Answers

Add 6 on both sides

-6x + 6x + 3 = 4x + 6x + 11
3 = 10x + 11

Subtract 11 on both sides

3 - 11 = 10x + 11 - 11
-8 = 10x

Divide by 10 on both sides

-8/10 = 10x/10
-8/10 = x

Simplify

x = -8/10
x = -4/5
x = -0.8

Add 6x to both sides

3 = 10x + 11

Subtract 11 on both sides

-8 = 10x

Divide by 10 on both sides

x = -8/10 = -4/5

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