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ELEN [110]
3 years ago
13

SIMPLIFY THE EXPRESSION 3Y+7+4Y+3

Mathematics
2 answers:
maksim [4K]3 years ago
5 0

Answer:

7Y + 10

Step-by-step explanation:

When simplifying expressions, it is important to add like variables with each other, and numbers with numbers. It is like the expression "you can't add apples and oranges", meaning you cannot add two different things.

So in order to simplify this expression we need to add all the Ys:

3Y + 4Y

= 7Y

and the numbers

7 + 3

= 10

Then adding them together gives the simplified version of:

7Y +10

Rufina [12.5K]3 years ago
4 0
7Y+10
Add your like variables (your Y’s) then your 7+3
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Solving multi step equations
hichkok12 [17]

The no-brain way to do it is to

  1. subtract one side from both sides so you have <em>(something) = 0</em>.
  2. divide by the coefficient of the variable.
  3. add the opposite of the constant.

Of course, at some point, you need to simplify the equation so you have something like

... ax + b = 0 . . . . . . where <em>a</em> and <em>b</em> are some constants that may be positive or negative

17) Subtract the right side.

... 10(x +3) -(-9x -4) -(x -5 +3) = 0

... 10x + 30 +9x +4 -x +5 -3 = 0 . . . . . eliminate parentheses

... x(10+9-1) +(30+4+5-3) = 0 . . . . . . . collect terms

... 18x +36 = 0 . . . . . . . . . . . . . . . . . . . simplified

... x + 2 = 0 . . . . . . . . . . . . . . . . . . . . . .divide by 18, the coefficient of x

... x = -2 . . . . . . . . . . . . . . . . . . . . . . . . add the opposite of the constant

19) Add the opposite of the left side.

... 0 = -9(1 +7x) +12(x -12)

... 0 = -9 -63x +12x -144 . . . . . . eliminate parenthses

... 0 = -51x -153 . . . . . . . . . . . . . simplify

... 0 = x +3 . . . . . . . . . . . . . . . . . divide by -51, the coefficient of x

... -3 = x . . . . . . . . . . . . . . . . . . . add the opposite of the constant

_____

If you examine the variable's coefficients you can make a choice of side to subtract that results in a positive coefficient of the variable.

This method puts variable and constant together until the end. The approach usually taught is to separate the variable terms and constant terms. (The number of steps required is the same either way.)

The reason this is "no brain" is that it always works and requires no judgment as to what you add or subtract from where. Applying a little judgment as described above can make it so you're mostly working with positive numbers, but the method works whether the numbers are positive or negative.

6 0
3 years ago
a keycode must contain 2 letters and 3 numbers. the letters may be any letter of the alphabet. the numbers should be any number
Rufina [12.5K]
THERE ARE AT LEAST TWO KEY CODES

4 0
3 years ago
look at the cups shown below (images are not drawn to scale). how many more cubic inches of juice will cup B hold than cup A whe
Nimfa-mama [501]

Answer:

18.8 cubic inches

Step-by-step explanation:

✔️Amount of juice Cup B will hold than Cup A = Volume of cup B - volume of cup A

✔️Volume of Cup B = Volume of cylinder = πr²h

radius (r) = ½ of 2 = 1 in.

height (h) = 7 in.

Volume of cup B = π*1²*7 = 21.99 in.³

✔️Volume of Cup A = Volume of cone = ⅓πr²h

radius (r) = ½ of 2 = 1 in.

height (h) = 3 in.

Volume of cup B = ⅓*π*1²*3 = 3.14 in.³

✔️Amount of juice Cup B will hold than Cup A = 21.99 in.³ - 3.14 in.³ = 18.8 in.³ (nearest tenth)

7 0
2 years ago
6.632.512 what is the value 3
Rus_ich [418]

Answer: i don’t know you can search it up

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
. Use the number line to illustrate the difference: -3-(-7)​
Oxana [17]

omhhhhhhfffffffyyyyuuuuu

8 0
2 years ago
Read 2 more answers
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