Write and solve a compound inequality to model the possible length of the dog run.
The inequality to model the possible length of the dog run is;. 100 ≤ 2.50x ≥ 200
And the possible length of the dog run is 80ft.
Minimum spending = $100
Maximum spending = $200
Cost per square feet = $2.50
let
x = possible number of square feet
The inequality:
100 ≤ 2.50x ≥ 200
This means possible number of square feet constructed is greater than or equal to $100 or less than or equal to $200
solve:
100 ≤ 2.50x ≥ 200
divide the inequality into 2
100 ≤ 2.50x
x ≤ 100/2.5
x ≤ 40
the other part:
2.50x ≥ 200
x ≥ 200/2.50
x ≥ 80
Therefore,
the possible length of the dog run is 80 feet
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Answer:
84 Percentage increase
Step-by-step explanation:
Detailed calculations & verification
Introduction. Percent, p%
'Percent (%)' means 'out of one hundred':
p% = p 'out of one hundred',
p% is read p 'percent',
p% = p/100 = p ÷ 100.
40% = 40/100 = 40 ÷ 100 = 0.4.
100% = 100/100 = 100 ÷ 100 = 1.
Increase the number by 40% of its value.
Percentage increase = 40% × 210
New value = 210 + Percentage increase
Calculate the New Value
New value =
210 + Percentage increase =
210 + (40% × 210) =
210 + 40% × 210 =
(1 + 40%) × 210 =
(100% + 40%) × 210 =
140% × 210 =
140 ÷ 100 × 210 =
140 × 210 ÷ 100 =
29,400 ÷ 100 =
294
Calculate absolute change (actual difference)
Absolute change (actual difference) =
New value - 210 =
294 - 210 =
84
Answer:
So she will have a total of 339 apples
Step-by-step explanation:
Given:
Total bowls = 3
First bowl have = 75 apples
Second has 75 more then that
Third 36 less then second
To Find:
Total fruits = ?
Solution:
AS given First bowl have = 75 apples
Now according to conditions
Second bowl have = 75 + First bowl have
= 75 + 75
= 150 apples
Now
Third bowl have = Second bowl - 36
= 150 -36
= 114
Total Apples = First bowl apples + second bowl apple + third bowl apples
Putting in the values
Total apples = 150 + 75 + 114
= 339
So she will have a total of 339 apples
Answer:
x=-7
Step-by-step explanation:
9x + 16 = 4x - 19
Subtract 4x from each side
9x-4x + 16 = 4x-4x - 19
5x+16 = -19
Subtract 16 from each side
5x+16 -16 = -19-16
5x = -35
Divide each side by 5
5x/5 = -35/5
x = -7
