The width of the path is 4 meters.
<h3>How to find the width of the path?</h3>
The pool is measuring 8 meters by 26 meters is surrounded by a path of uniform width.
The area of the pool and the path combined is 544 square meters.
Therefore, The dimensions of pool are 8 meters and 26 meters as it is surrounded by a path of uniform width, let the width be x meters and
the dimensions of the pool and the path combined will be
8 + 2x and 26 + 2x and as area is 544 m²
, the equation is
(8 + 2x)(26 + 2x) = 544
208 + 16x + 52x + 4x² = 544
4x² + 68x - 544 + 208 = 0
4x² + 68x - 336 = 0
4(x² + 17x - 84) = 0
x² + 17x - 84 = 0
Hence,
(x - 4)(x + 21)
Therefore,
x = 4 and x = -21
As width of path cannot be negative, it is 4 meters.
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Answer:
26
Step-by-step explanation:
you just add ten plus ten plus six
Answer:
The estimation for the proportion of oil tankers that had spills is 0.23.
Step-by-step explanation:
The estiamate of the proportion of oil tankers that had spills is the number of oil tankers in the sample with spills divided by the total number of oil tankers.
In this problem, we have that:
779 tankers in the sample.
600 without spills, and 779 - 600 = 179 with spills
179/779 = 0.23
The estimation for the proportion of oil tankers that had spills is 0.23.
Answer:
paper clips = $1.85
index cards = $3.95
Step-by-step explanation:
Mark
12 paper clips = x
10 index cards = y
$61.70 total
Janice
15 paper clips = x
7 index cards = y
$55.40 total
12x + 10y = 61.70
15x + 7y = 55.40
*** you want to cancel out one of the letters
(12x + 10y = 61.70) * -7
(15x + 7y = 55.40) * 10
-84x -70y = -431.9
150x + 70y = 554.0
150x + 70y = 554.0
-84x -70y = -431.9
66x + 0 = 122.1
66x = 122.1
x = 122.1 ÷ 66
x = 1.85
plug it back in
15(1.85) + 7y = 55.40
27.75 + 7y = 55.40
7y = 55.40 - 27.75
7y = 27.65
y = 27.65 ÷ 7
y = 3.95
Answer:
5.4 times 0.085 equals 0.495
Step-by-step explanation: