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zheka24 [161]
3 years ago
10

Each lap around a park is 1 1⁄5 miles. Kellyn plans to jog at least 7 1⁄2 miles at the park without doing partial laps. How many

laps must Kellyn jog to meet her goal?
Mathematics
2 answers:
Solnce55 [7]3 years ago
7 0
A lap is 6/5 miles
minimum 15 / 2 miles
(15/2)/(6/5) = 25/4 = 6 and 1/4 laps minimum which has to be rounded up to 7 laps
Nitella [24]3 years ago
6 0
1 1/5 can be written as 6/5
7 1/2 can be written as 15/2
Let X be the number of laps Kellyn wants to jog to meet her 7 1/2 mile goal:
6/5x = 15/2                Multiply both sides by (5/6), the inverse of 6/5
x = 15(5) / 2 ( 6) 
x = 75 / 12
X = 25 / 4, or 6 and 1/4 laps

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The x -intercepts occur when f(x) =0
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8 0
3 years ago
Is 4/6 more less or equal to half
olasank [31]

Answer:

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Step-by-step explanation:

4/6 simplified is 2/3

3/6 would be half

7 0
4 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}

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4 0
3 years ago
A carpenter wants to expand a square room. The new room will have one side 4 feet longer and the adjacent side 6 feet longer tha
gogolik [260]

Answer:

  Dimensions of original room = 12 x 12 feet.

Explanation:

 Let the size of old square room be a x a.

 New dimension = ( a+4 ) x ( a + 6 )

   We have area of the new room will be 144 square feet greater than the area of the original room.

  So,     ( a+4 ) x ( a + 6 ) = a x a + 144

              a²+10a+24= a²+144

              10a = 120

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 Dimensions of original room = 12 x 12 feet.

 

8 0
3 years ago
I need help! PLEASE HELPP PLEASE HELP!!!
DanielleElmas [232]

Answer:

Part 1: 31x+25=180

part 2: x=5

Step-by-step explanation:

there are 180° on a straight line, which is the base/ bottom line of the traingle (indicated by the arrow on the end).

so, 180-151= 29

29° is the third angle on the traingle.

now, there are 180° in a triangle, therefore to find an equation for x:

29+20x-3+11x-1= 180 (adding up all the angles and making it equal to 180°)

now simplify this equation to get:

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to find x simply solve the equation:

31x=180-25

31x= 155

x= 155/31

x=5 (PART 2)

4 0
3 years ago
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