Answer:
23.6 (approximate value)
Step-by-step explanation:
- a*a+b*b=c*c Pythagorean thereom
- (21.5)^2 + b*b = (31.9)^2
- b*b= 1017.61 - 462.25
- √b*b= √555.36
- b=23.6(approximate value)
Answer:
She subtracted the GCF from the second term in the expression instead of dividing.
Step-by-step explanation:
Given the expression 32ab-8b, to find the common greatest factor, we will bring out a function that us common to both terms 32ab and 8b. To do that, we need to first find their individual factors as shown:
32ab = (2×2×2)×2×2×a×(b)
8b = (2×2×2×b)
From both factors, the common terms are the values in parenthesis i.e 2×2×2×b = 8b
Hence the GCF of the expression 32ab - 8b is 8b. On factoring out 8b from the expression we will have;
= 32ab - 8b
= 8b(32ab/8b - 8b/8b)
= 8b(4a-1)
Comparing the gotten equation with Venita's own, 8b(4a-0), we can say that she correctly factored out the GCF but her error was that she subtracted 8b from the second term of the expression instead of dividing by 8b. 8b-8b is what gives her 0 making her expression wrong. She should have divided her second term also by 8b to have 8b/8b which results in 1 instead of 0 that venita got.
Answer:
20 tbsp of flour OR 1.25 or 1 
cups of flour
Step-by-step explanation:
10 tbsp of flour
*2
____________
20 tbsp of flour OR 1.25 or 1 cups of flour
Answer:
One solution x = 2
Step-by-step explanation:
Given the equation:
Multiply this equation by 2:
Use distributive property:
Combine the like terms:
Thus, this equation has one solution x = 2
Answer: 
Step-by-step explanation:
Given: A graphics company charges $50 per hour to create a logo plus $250 for the ownership rights of the logo.
Let x be the number of hours , then the total cost to create the logo plus is given by :-
A private contractor charges $75 per hour to develop a logo plus a $100 supply fee.
The total cost to develop logo plus is given by :-
The equation to represent the costs would be the same is given by :_
