Answer:
1/9
Step-by-step explanation:
Given that:
Original block of clay = 1/3
Number of divisions = 3
The amount of original block of clay gotten by each :
Original block of clay ÷ number of divisions
1/3 ÷ 3
1/3 * 1/3
= 1/9
Hence, each person will get 1/9 of the original block of clay.
Answer:
z = 8
Step-by-step explanation:
Solve for z:
(z + 4)/3 - 6 = (2 (5 - z))/3
Put each term in (z + 4)/3 - 6 over the common denominator 3: (z + 4)/3 - 6 = (z + 4)/3 - 18/3:
(z + 4)/3 - 18/3 = (2 (5 - z))/3
(z + 4)/3 - 18/3 = ((z + 4) - 18)/3:
(z - 18 + 4)/3 = (2 (5 - z))/3
Add like terms. 4 - 18 = -14:
(z - 14)/3 = (2 (5 - z))/3
Multiply both sides by 3:
(3 (z - 14))/3 = (3×2 (5 - z))/3
(3 (z - 14))/3 = 3/3×(z - 14) = z - 14:
z - 14 = (3×2 (5 - z))/3
(3×2 (5 - z))/3 = 3/3×2 (5 - z) = 2 (5 - z):
z - 14 = 2 (5 - z)
Expand out terms of the right hand side:
z - 14 = 10 - 2 z
Add 2 z to both sides:
2 z + z - 14 = (2 z - 2 z) + 10
2 z - 2 z = 0:
2 z + z - 14 = 10
z + 2 z = 3 z:
3 z - 14 = 10
Add 14 to both sides:
3 z + (14 - 14) = 14 + 10
14 - 14 = 0:
3 z = 10 + 14
10 + 14 = 24:
3 z = 24
Divide both sides of 3 z = 24 by 3:
(3 z)/3 = 24/3
3/3 = 1:
z = 24/3
The gcd of 24 and 3 is 3, so 24/3 = (3×8)/(3×1) = 3/3×8 = 8:
Answer: z = 8
Answer:
Line segment A
Step-by-step explanation:
The apostrophe symbol represents feet.
1 meter can be converted into 3.28'
Since 5.5' > 3.28', Line segment A is larger
Answer is √35 (square root of 35)
Reason: square root of 35 (which is = 5.9160797831.....) which is a non-terminating decimal, which means it is irrational.
An irrational number is any real number that cannot be expressed as a simple fraction or terminating decimals. There are many answers to this question.
Answer:
34 + x = 70 ; 36
Step-by-step explanation:
Given that:
Current amount = 34
Final amount = 70
Number of roses planted by the workers today ;
Current amount + number planted today = final amount
Let number planted today = x
34 + x = 70
x = 70 - 34
x = 36