Answer:
m = 36
Step-by-step explanation:
3 = m/12
Multiply each side by 12
3*12 = m/12*12
36 =m
ANSWER:
Let width be x, then length be 2x – 2
Now, Area of rectangle = L × B
- x(2x – 2) = 40
- 2x² – 2x – 40 = 0
- 2(x² – x – 20) = 0
- x² – x – 20
- x² –5x + 4x – 20 = 0
- x(x – 5) + 4(x – 5) = 0
- (x + 4)(x – 5) = 0
- x = – 4; 5
Hence, width can't be negative.
So width = 5in.
And Length = 2 × 5 – 2
So, <u>Correct choice</u> - [D] Length is 8 in, Width is 5 in.
Answer:
x = 6
One-fourth x + one-half = one-third x
Step-by-step explanation:
1/4 x + 1/2 = 1/3 x
1/4 x - 1/3 x = - 1/2
(3x - 4x)/12 = -1/2
-x/12 = -1/2
-x = -12/2
-x = -6
x = 6
If a, b, c is an arithmetic sequence then a + c = 2b
a = 1/10; b = 3/20, c = 5/30
a + c = 1/10 + 5/30 = 3/30 + 5/30 = (3+5)/30 = 8/30
2b = 2 · 3/20 = 3/10 = 9/30
8/30 ≠ 9/30
If a, b, c is a geometric sequence then ac = b²
ac = 1/10 · 5/30 = 1/2 · 1/30 = 1/60
b² = (3/20)² = 9/400
1/60 ≠ 9/400
<span>Answer: Neither.</span>
