Answer:
The system would be:
4x + 2y = 140
2x + 3y = 150
Step-by-step explanation:
If we represent the cost of sweats by the letter x and the jeans by the letter y, we can then write an equation for each of the situations using the number of each in each situation.
4x + 2y = 140
2x + 3y = 150
Missing term = –2xy
Solution:
Let us first find the quotient of 
.
Taking common term xy outside in the numerator.
Both xy in the numerator and denominator are cancelled.
Thus, the quotient of is 
.
Given the quotient of is same as the product of 4xy and ____.
× missing term
Divide both sides by 4xy, we get
⇒ missing term = 
Cancel the common terms in both numerator and denominator.
⇒ missing term = –2xy
Hence the missing term of the product is –2xy.
Answer:
3
Step-by-step explanation:
Answer:
The order of the number of the answers from top to bottom in the boxes are: 5, 6, 3, 1, 4, 2
The answer is (b² + 5b + 4).
The volume of a rectangular prism (V) is:
V = l · w · h (l - length, w - width, h - height)
The base of the rectangular prism is the product of length and width, so the area of the base is:
A = l · w
Since V = l · w · h and A = l · w, then:
V = A · h
It is given:
V = b³ + 8b² + 19b + 12
h = b + 3
⇒ b³ + 8b² + 19b + 12 = A · (b + 3)
⇒ A = (b³ + 8b² + 19b + 12) ÷ (b + 3)
Now, we have to present the volume as multiplication of factors. One of the factors is b+3. So:
b³ + 8b² + 19b + 12 = (b · b² + 3b²) + (5b² + 15b) + (4b + 3·4) =
= b²(b + 3) + 5b(b + 3) + 4(b + 3) =
= (b + 3)(b² + 5b + 4)
A = (b³ + 8b² + 19b + 12) ÷ (b + 3) = (b + 3)(b² + 5b + 4) ÷ (b + 3)
(b + 3) can be cancelled out:
A = (b² + 5b + 4)
