The inequality that best describes the width of the garden is
Width ≤ 6 yards
Area ≤ Length* Width
<h3>Given data</h3>
Length = 5 yards
Width = ??
Area = 30 square yards
From the formula of the area of rectangle we have
Area = Length * Width
Let the width be x
Substitute
30 = 5 * x
30 = 5x
Divide both sides by 5
x = 30/5
x = 6 yards
Hence the with should be less than or equal to 6 yards
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Answer:
(-3, 4)
Step-by-step explanation:
let the point P(x, y)
x = (5/7 × (-1+8)) + (-8)
= (5/7 × 7) -8 = 5-8 = -3
y = (5/7 × (8+6)) + (-6)
= (5/7 × 14) -6 = 10-6 = 4
so, P => (-3 , 4)
Answer:
Given expressions are,
217 x 328 x 11
213 x 345 x 74,
Since, 217 = 7 × 31
328 = 2 × 2 × 2 × 41,
11 = 1 × 11,
So, we can write, 217 x 328 x 11 = 7 × 31 × 2 × 2 × 2 × 41 × 1 × 11
Now, 213 = 3 × 71
345 = 3 × 5 × 23,
74 = 2 × 37,
So, 213 x 345 x 74 = 3 × 71 × 3 × 5 × 23 × 3 × 5 × 23
Thus, GCF ( greatest common factor ) of the given expressions = 1 ( because there are no common factors )
We know that if two numbers have GCF 1 then their LCM is obtained by multiplying them,
Hence, LCM ( least common multiple ) of the given expressions = 217 x 328 x 11 x 213 x 345 x 74
We take each number as x = 2x 3x 4x
(2x)³+(3x)³+(4x)³=33957
8x³+27x³+64x³=33957
99x³=33957
x³=33957÷99
=∛343
x=7
2x=2×7=14
3x=3×7=21
4x=4×7=28
=the three numbers are 14,21,28