The solution to the given equation 12(2w - 3) = 6w is w = 2, which is determined by algebraic operations.
The equation is given as follows:
12(2w - 3) = 6w
Distribute the 12 to both terms inside the parentheses:
24w - 36 = 6w
Move all the terms involving w to one side of the equation by subtracting 6w from the left side:
24w - 6w = 36
Simplifying the left side:
18w = 36
Divide both sides 2 to get,
w = 2
Therefore, the solution to the equation 12(2w - 3) = 6w is w = 2.
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$84.23
$90.23
$49.83
$69.00
Jack bought two sweaters for $17.99 and a pair slacks for $25.50. Including a 5 1/2% tax, how much was his total purchase?
Question 5 options:
$64.86
$61.48
$52.99
$28.98
Answer:
(A) $90.23
(B) $64.86
Step-by-step explanation:
(A) Given, The cost of one skirt = $18.27
The cost of one shirt = $15.78, Then cost of two shirt = 2 × $15.78 =$ 31.56
and The cost of pair of shoes = $34.50
Thus, I have done total purchase of $18.27 + $31.56 + $34.50 = $84.33.
And, paying the tax of 7%
The total cost I spend = $84.33 × (100 + 7)% = $90.23
(B) Given, The cost of one sweater = $17.99, Then cost of two sweater = 2 × $18.27 =$ 35.98
The cost of one slack = $25.50
Thus, I have done total purchase of $35.98 + $25.50 = $61.48.
And, paying the tax of 5.5%
The total cost I spend = $61.48 × (100 + 5.5)% = $64.86
Answer:
the answer is C
Step-by-step explanation:
19.65 + 2.35 is exactly 22, not including tax
Answer:
A and C
Step-by-step explanation:
A. 15% off $25
15% = 0.15
0.15 x 25 = 3.75
25 - 3.75 = 21.25
22 or under? Yes
B. 30% off $32
30% = 0.30
0.30 x 32 = 9.60
32 - 9.60 = 22.40
22 or under? No
C. $19.65 plus a 2.35 shipping fee
19.65 + 2.35 = 22
22 or under? Yes
D. $20.45 plus a $1.60 shipping fee
20.45 + 1.60 = 22.05
22 or under? No
Even though this is late, the other answer did not mention A being the answer as well so I hope this helped!
3x2 + 10x − 8 = 0
4x2 + 10x − 2 = 0
x2 + 7x − 8 = 0
Represent the thickness of the frame by x. Framing the mirror will increase both its length and width by 2x. The area of the mirror with the frame is the product of the length and width which can mathematically be expressed as,
A = (3 + 2x)(2 +2x) = 8
The equation above can be simplified into 4x^2 + 10x -2 = 0. This equation can still be further simplified by dividing it by 2. However, it will give an answer which is not found on the choices. Thus, the answer is the third choice.
Answer: The answer above me is correct .
2x + y = 9
(2, 5)
(5, 2)
(−2, 5)
(2, −5)
Answer:
x=
−1
33
y+
3
11
Step-by-step explanation: