Given: 1 cm = 2 3/4 ft ; kitchen length = 4 1/2 cm
2 3/4 = 11/4; 4 1/2= 9/2
11/4 x 9/2 = 99/8 =12 3/8
OR You could use decimals
2 3/4 = 2.75 ; 4 1/2 = 4.5
2.75 x 4.5 = 12.375
12.375 = 12 375/1000 or 12 3/8
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.
To find out end behavior, we always look at the largest exponent (3 in this case) and the sign of the term with the largest exponent (negative in this case). We can rule out the first two choices because since it is a cubic graph (exponent of 3) the graph will be pointing in opposite directions. Then, the negative tells us that as the x values approache infinity, the y values will approach negative infinity. So the correct answer is the last choice.
Hope this helps
Knowns:
C = mx + b
m = 367
b = 1500
C = 367x + 1500
Cost (c) = 16,600
16600 = 367x + 1500
subtract 1500 from both sides
15,100 = 367x
Divide both sides by 367
x = 41.14
41 Students can attend the trip! Hope this helps
