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azamat
2 years ago
14

Rosa loves to run. She set a goal to run greater than 490 miles this year. To date, she has run 145 miles. If she begins to run

15 miles per week, how long will it take Rosa to reach her goal?
Write an inequality, using x as the variable, that represents this situation.

Mathematics
1 answer:
Natasha_Volkova [10]2 years ago
3 0

Answer:

Step-by-step explanation:

145+15x>490. subtract 145 from both sides

15x>345, divide both sides by 15

x>23

So she will need to run for more than 23 weeks to reach her goal.

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The car at each vertex of a Ferris wheel holds a maximum of 5 people. The sum of the measures of the angles of the Ferris wheel
larisa [96]

Answer:

225

Step-by-step explanation:

The sum total of all the angles is 7,740 degrees,

The formula for the interior angle is 180(n - 2) where n is the number of sides in the polygon

Set this equal to 7740

180 (n-2) = 7740

Divide each side by 180

 180/180 (n-2) = 7740/180

  n-2 =43

Add 2 to each side

n-2+2 = 43+2

n = 45

Each vertex hold 5 people so take n and multiply by 5

45*5 = 225

The Ferris wheel holds 225 people

3 0
3 years ago
The grocery store sells kumquats for $4.75 a pound and Asian pears for $3.75 a pound. Write an equation in standard form for the
maks197457 [2]
<span>to find the solution to this problem, we must understand that the sum of the amount that the customer could be bought is $12. $4.75 pound of kumquats and Asian pears for $3.75 mean mathematically as $12. $4.75 kumquats + $3.75 Asian, this last sum is equal to $12, so the true answer is the choice B: 4.75k + 3.75p = 12 Hope this helps. Let me know if you need additional help!</span>
6 0
3 years ago
A set of 25 two digit numbers are listed below 10,17,20,23,24,28,32,39,42,25,26,52,55,58,61,65,66,72,75,78,79,85,94,97,98. What
eimsori [14]

Answer:

0.48

Step-by-step explanation:

Given the data:

X:

10,17,20,23,24,28,32,39,42,25,26,52,55,58,61,65,66,72,75,78,79,85,94,97,98

Sum of each of the numbers :

1, 8, 2, 5, 6, 10, 6, 12, 6, 7, 8, 7, 20, 13, 7, 11, 12, 9, 12, 15, 16, 13, 13, 16, 17

Probability that sum of the number's digit is odd:

Number of odd sum / total numbers

Number of odd sum = 12

Total numbers = 25

12 / 25

= 0.48

3 0
2 years ago
A college professor never finishes his lecture before the end of the hour and always finishes his lectures within 2 min after th
Citrus2011 [14]

Answer:

Value of k is \displaystyle\frac{3}{8}      

Step-by-step explanation:

We are given the following information in the question:

f(x) = kx^2, 0\leq x \leq 2\\~~~~~~~= 0, \text{ otherwise}

where x is the time elapses between the end of the hour and the end of the lecture.

We have to find the values of k.

Since, f(x) is the pdf, then,

\displaystyle\int^\infty_{-\infty} f(x) = 1\\\\\displaystyle\int^2_{0} f(x) = 1\\\\\displaystyle\int^2_{0} kx^2 = 1\\\\k\bigg[\frac{x^3}{3}\bigg]^2_0 = 1\\\\k\times \frac{8}{3} = 1\\\\k = \frac{3}{8}

Hence, value of k is \displaystyle\frac{3}{8}

4 0
2 years ago
How could you use coordinate geometry to prove that segment BD and segment AC bisect one another?
____ [38]

Answer:

I think it's prove the midpoints are the same

Step-by-step explanation:

I'm not completely sure but I'm taking it right now and I believe that's the most logical answer because if they meet up at the same midpoint then they could bisect each other.

3 0
2 years ago
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