Answer: width= 3 inches; length= 12 inches.
Step-by-step explanation:
From the question, the length is 4 times greater than the width.
Let the width of the banner be represented by y.
Since the length is 4 times greater than the width. It will be denoted as:
Length= 4 × y = 4y
Since area= length×width
4y × y = 36
4y^2 = 36
Divide both side by 4
y^2 = 36/4
y^2 = 9
We have to find the square root of 9
y= √9
y = 3
The width is 3 inches.
The length will be: (3×4) = 12 units.
Answer:
x = -7/9
Step-by-step explanation:
The usual recommendation is to clear fractions first. Here, you can do that by multiplying both sides of the equation by 6.
6(-1/2(3x -4) +3x) = 6(5/6)
-9x +12 +18x = 5 . . . . . . . . . simplify
9x = -7 . . . . . . . . . . . . . . . . . subtract 12
x = -7/9 . . . . . .divide by 9
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Another way to do this is to eliminate parentheses first.
-3/2x +2 +3x = 5/6
3/2x = -7/6 . . . . . . . . . collect terms, subtract 2
x = (-7/6)(2/3) = -7/9 . . . . multiply by 2/3
Answer:
27, 12, and 36 = 108
22 and 4 = 44
14 and 12 = 84
25 and 8 =200
9, 8, and 7 = 504
32, 24, and 18 = 288
Step-by-step explanation: You are welcome.
Answer:
a) 19/15 b) 1/3
Step-by-step explanation:
in both the question I reduced the numbers with 5
Answer:
The mean of the combined group is 76.67 ≈ 77
Step-by-step explanation:
- The sum of the grades in Tom's group is 20×70 = 1400
- The sum of grades in Alice's group is 10×90=900
- The sum of gradees in the combined group is =1400+900=2300
- Then the mean grade of the combined group is
where
- 2300 is the sum of the all grades in the combined group
- 30 is the total number of people in the group
