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shepuryov [24]
3 years ago
15

A library has 167 trees on their property, but they are having trouble growing grass so they need to pay to have trees cut down

each year until the property has less than 50 trees. If they can pay to have only four trees cut down this year, but eight trees cut down every year after that, in how many years will they have less than 50 trees on their property?
Mathematics
1 answer:
weeeeeb [17]3 years ago
6 0

Answer:

15 years

Step-by-step explanation:

<u>Given:</u>

  • Number of trees = 167
  • This year limit = 4 trees
  • Yearly limit following years = 6 trees per year
  • Target number of trees = 50

<u>Building inequality:</u>

  • 167 - 4 - 8x < 50
  • 8x > 113
  • x > 113/8
  • x > 14.125

Adding current year to 14 we get 15 years as answer

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6 0
2 years ago
How many times bigger is 5 with an exponent of 26 compared to 5 with an exponent of 22?
Gekata [30.6K]

Answer:

Step-by-step explanation:

if we have 5^22 and 5^26

5^26= 5^22 x5^4

5^26 is bigger by the number 5^4

5 0
2 years ago
Read 2 more answers
The sum of two consecutive negative integers is -171. What is the number closest to zero?
Anton [14]
Consecutive numbers are always 1 away from each other
3,4

so consecutive is represented by
x and x+1
so sum is -171
x+x+1=-171
add like terms
2x+1=-171
subtract 1 from both sides
2x=-172
divide both sides by 2
x=-86
subustitute
x+1=otehr number
x+1=-86+1=-85
answer is -85 and -86
6 0
2 years ago
Which of the following nonlinear inequalities is graphed below
Rashid [163]

Answer:

(x²/4) + (y²/16) ≤ 1

Step-by-step explanation:

The general form of the ellipse in the graph is

x²/4 + y²/16 = 1

we want to find the inequality which represents the shaded area this will determine whether which of the following 2 choices are correct

Choice 1: x²/4 + y²/16 ≥ 1

Choice 2: x²/4 + y²/16 ≤ 1

we note that point (0,0) lies inside the shaded area. Which means if we substitute (0,0), it should create an equality that is valid.

try choice 1: 0²/4 + 0²/16  = 0 ≥ 1 (not valid because obviously zero is smaller than 1)  

try choice 1: 0²/4 + 0²/16  = 0 ≤ 1 (this is valid, hence choice 2  is the answer)

4 0
2 years ago
How far is the point (8,6) from the origin​
Varvara68 [4.7K]
The answer is 14 away
7 0
2 years ago
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