MATHEMATICS MIDDLE SCHOOL

~~~ 30 POINTS ~~~Directions: Write an equation to represent each relationship. Then solve the equation.

1. Two less than 3 times a number is the same as the number plus 10.
2. A number increased by 4 is the same as 19 minus 2 times the number.
3. Twenty less than 8 times a number is the same as 15 more than the number.

Answers

Answer 1
Answer: 1)   3x-2=x+10


Now, lets solve this step-by-step.

3x - 2 = x + 10
-x             -x

3x - x = 2x                                2x - 2 = 10

2x - 2 = 10
2x - 2+2 = 10+2          The inverse operation helps isolate the variable. 

2x = 12

2x/2 = 12/2

x = 12/2
x = 6

Answer: x = 6

2) x + 4 = 19 - 2x 

We can solve this much faster

x + 4 = 19 - 2x
                  +2x

x+2x = 3x

3x + 4 = 19
      -4     -4

19-4 = 15

3x= 15
3x/3 = 15/3
x= 5

Answer: x = 5

3) 8x - 20 = x + 15

Much faster now!!

8x - 20 = x + 15
               -x
8x-x = 7x

7x - 20 = 15
      +20   +20
15+20 = 35

7x = 35
7x/7 = 35/7
x = 35/7
x = 5

Answer: x= 5
Answer 2
Answer: let x be the unknown number of all 3 equations
1.) 3x - 2 = x + 10 x=6
2.) x + 4 = 19 - 2x x=5
3.) 8x - 20 = x + 15 x=5

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PLEASE HELP!!!6x - 2y = 10 for y when x = 2
What is half of $5.98

What is one way to find the total costof a pair of shoes for $57 with a salestax of 2%?What is another way to find the total costof a pair of shoes for $57 with a sales taxof 2%?I need 2 different ways to answer each question

Answers

I did 57×2%=1.14 Than i add 57+1.14=58.14 see if thats one of ur answer

at the deli, one pound of turkey costs $7.98. Mr.epstein buys 3 pounds of turkey.how much will the turkey cost

Answers

$23.94 because you multiply $7.98 times 3 and that is how you get your answer hope this helps.
 the answer is 10.98 I'm in honors class

How many meters are there in 234 cm?

Answers

There are 100 cm for every 1 meter    
(1 m)/(100 cm)
so insert the 234 as the numerator and simplify
(234cm)/(100cm)
The simplified form of the equation is 2.34
There is 2.34 meters in 234 cm
Alright. Let me help you understand this better.

Usually, there is an amount that equals to the other.

Ask ourselves, how many cm in a meter?

1 meter = 100 centimeters

Now, how many centimeters do we have here?

234

Ok, see how many meters are in that.

234 = 2.34 centimeters.

This is another way to solve this.

Since 1:100 is our ratio, we can solve for a proportional relationship.

1/100 = x/234

Cross multiply

1*234 = 234
100*x = 100

234/100 = ?

234/100 = 2.34

There we go! Same answer! :D

Final answer: 2.34 meters 

I need the inequality answer.florence wants to buy onions and doesn't want to spend no more than $3. Can she buy 2.5 pounds ? They are 1.25 pound

Answers

No because if you divide 1.25 by two to find out what the half is in 2.5, it would be .62… and since she wants to buy 2.5 pounds, you've already figured out the .5, so 1.25x2 + .62, it would be 3.12. 
Illusion103
No
Do a proportion
1.25 over 1 = x over 3
You would get 3.75

True or False: 3( 12-8 ) ______
2.5-4 = 2

Answers

Answer: False

Step-by-step explanation:

What is one and a half days equal to

Answers

It will equal a 24 hours and 12 hours
 It is 3/2 idk if you are looking for a fraction or not
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