Answer:
2⅝
Step-by-step explanation:
You must convert each fraction to a <em>common denominator</em>.
The <em>least common multiple</em> of 2, 4, and 8 is 8.
1/4 +3/8 + 1/2 + 5/8 + 7/8 Convert to a common denominator
= 2/8 + 3/8 + 4/8 + 5/8 + 7/8
= (2 + 3 + 4 + 5 + 7)/8
= 21/8 Convert to a mixed number
= (16 + 5)/8
= 2 + ⅝
= 2⅝
1)Because if u add 8+4 which is 12 and u just leave the x with the 12 which is 12x which is ur answer.
2)if you multiply 4 and 2x or 4•2x which is 8x and you if u multiply 4 and 1 which is 4 and you are left with 8x+4 which is 12x.
There is a total of 30 erasers
Area of the polygon defined by the given points is 62.5 sq units
Step-by-step explanation:
Step 1 :
Let P be the point (-5,0) Q = (0,-5), R = (-15,-20) and S = (20,-15)
We have to to find the area of the polygon PQRS
Step 2 :
The area of polygon given the vertices (x
is given by
Area = mod (
) ÷ 2
Where
is the vertex n's x coordinate ,
is the vertex n's y coordinate
Substituting the corresponding values ,
Area of PQRS = mod ( (25 - 0)+ (0-75) +(300-300) +( 0-75) ) ÷ 2
= mod (25-75+0-75) ÷ 2
= mod (-125) ÷ 2 = 125 ÷ 2 = 62.5 sq units
Step 3 :
Answer :
Area of the polygon defined by the given points is 62.5 sq units
Answer:
Step-by-step explanation:
Show that if 3x – 7 = 5, then x = 4.
Here, our given statement is 3x – 7 = 5, and we're asked to prove x = 4.
x=4
Statements Reasons
1. 3x – 7 = 5 Given
2. 3x – 7 + 7 = 5 + 7 Addition of 7 to equation (1)
3. 3x + 0 = 5 + 7 Substitution of –7 + 7 = 0 into (2)
4. 3x = 5 + 7 Substitution of 3x + 0 = 3x into (3)
5. 3x = 12 Substitution of 5 + 7 = 12 into (4)
6. 3x⁄3 = 12⁄3 Dividing equation (5) by 3
7. x = 12⁄3 Substitution of 3x⁄3 = x into (6)
8. x = 4 Substitution of 12⁄3 = 4 into (7)
Is there such a thing as being too descriptive? Yep, and that was it, since over half the proof was devoted to telling the reader how to do arithmetic. We'll typically take numerical computation for granted, and write proofs like this: