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KengaRu [80]
2 years ago
13

Louise hikes 3 miles east on a forest trail. She stops for lunch and then hikes 2 more miles east. How many miles west must she

hike to get back to the start of the trail?
30 point
Mathematics
2 answers:
Sergeeva-Olga [200]2 years ago
3 0

Answer:

5 miles

Step-by-step explanation:

egoroff_w [7]2 years ago
3 0
3 miles + 2 more miles =5 miles
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Luke earned $36,000 during the first year of his job at Putt-Putt Kingdom. After each year he received a 10% raise. Find his tot
Lady_Fox [76]
In order to solve this problem, you need to use a geometric series:
S_{n} =  \frac{ a_{1}(1 - r^{n}) }{1 - r}
where:
a₁ = first term of the series = 36000
r = common rate = 10% raise, therefore 1.10
n = number of terms = 5

Therefore,
 <span>S_{n} =  \frac{ 36000(1 - 1.10^{5}) }{1 - 1.10}
= 219783.60 $

Luke's total earnings in five years are <span>219783.60 $.</span>

</span>
6 0
3 years ago
Which is the best interpretation of the solution set for the compound inequality?
saw5 [17]

For this case we must find the solution set of the given inequalities:

Inequality 1:

3 (2x + 1)> 21

Applying distributive property on the left side of inequality:

6x + 3> 21

Subtracting 3 from both sides of the inequality:

6x> 21-3\\6x> 18

Dividing by 6 on both sides of the inequality:

x> \frac {18} {6}\\x> 3

Thus, the solution is given by all the values of "x" greater than 3.

Inequality 2:

4x + 3

Subtracting 3x from both sides of the inequality:

4x-3x + 3

Subtracting 3 from both sides of the inequality:

x

Thus, the solution is given by all values of x less than 4.

The solution set is given by the union of the two solutions, that is, all real numbers.

Answer:

All real numbers

8 0
3 years ago
What is the justification for each step in solving the inequality? 3x+1/2&lt;−x+4 Select from the drop-down menus to correctly j
patriot [66]

Answer:

see below

Step-by-step explanation:

(3x+1)/2<−x+4

Multiply each side by 2 using the multiplication property of equality

3x+1 < -2x +8

Subtract 1 from each side using the subtraction property of equality

3x < -2x+7

Add 2x to each side using the addition property of equality

5x < 7

Divide each side by 5 using the division property of equality

x < 7/5

3 0
3 years ago
Read 2 more answers
I need three dollars seventy-eight cents more to buy a pair of tennis shoes. The tennis shoes cost eight dollars less the one hu
aleksandrvk [35]

Answer:

$118.22

Step-by-step explanation:

Subtract $130.00-$8.00= $122.00

Then subtract $122.00- $3.78 = $118.22

7 0
3 years ago
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The chance of getting heads two times in row when flipping a standard coin twice?
kenny6666 [7]

Answer:

12.5%

Step-by-step explanation:

6 0
3 years ago
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