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Sati [7]
3 years ago
5

Jim and Ava are 20 miles apart on a path when they start moving toward each other.Jim walks at a constant speed of 2 mph, And Av

a runs at a constant speed of 6 mph.How long does it take until Jim and Ava meet
Mathematics
1 answer:
Katarina [22]3 years ago
6 0

Answer:

It will take 2.5 hours before they meet

Step-by-step explanation:

The initial distance between Jim and Ava was 20 miles on a path before they start moving toward each other.

Jim walks at a constant speed of 2 mph,

Let time taken by Jim to cover his distance be a

Distance = speed × time

Distance covered by Jim = 2a

And Ava runs at a constant speed of 6 mph.

Let time taken by Ava to cover her distance be b

Distance = speed × time

Distance covered by Ava = 6b

When they meet, total distance covered would be 20miles. Therefore,

2a + 6b = 20

To get the common time it takes for them to cover this distance,

a = b

2a + 6a = 20

8a = 20

a =20/8 = 2.5hours

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Determine the domain and range of the function . f(x)=2 3√ 108^2x {x| all real numbers}; {y| y > 0} {x| all real numbers}; {y
Gala2k [10]

Answer:

Domain : {x | all real numbers} ; Range: {y | y > 0}

Step-by-step explanation:

The function can be written as :

f(x)=\sqrt[\frac{2}{3}]{108^{2\cdot x}}\\\\\implies f(x)=(108)^{(\frac{3}{2})^{2\cdot x}}

Now, since x is exponent so it can take any real values. So, its domain of f(x) is all real numbers

But value of f(x) can not be less than 1 because for x = 0 the value of f(x) is 1 and also for any values of x, the value of f(x) can never be less than 1

So, Range of f(x) is all real numbers greater than 0

Hence, Domain and Range of f(x) is given by :

Domain : {x | all real numbers} ;

Range: {y | y > 0}

4 0
3 years ago
Read 2 more answers
The interior angle sum of a convex polygon is 1,980°.
LenaWriter [7]

Answer: 27.69⁰

Step-by-step explanation:

Formula for finding the internal angle of a regular polygon is

( 2n - 4 )right angle triangle or

( 2n - 4 )90°, it can also be broken down by factorizing the expression since 2 is common,

( n - 2 )180 or supplementary

Now to find the value of n which correspond to the number of sides the polygon has, we equate the formula to the angle sum of the polygon.

( n - 2 ) × 180° = 1980°

open the bracket

180n° - 360° = 1980°

180n°            = 1980° + 360°

                    = 2340

To find n, divide by 180 which is the coefficient of n

               n   = ²³⁴⁰/₁₈₀

                    = 13

The polygon has 13, sides

To find the measure of each angle,

Recall, the sum total of external angle  = 360⁰

Therefore, to find the value of each of the angles, we divide 360 by n which is 13

                 ³⁶⁰/n

                = ³⁶⁰/₁₃

                = 27.69⁰

8 0
3 years ago
Can someone help me solve this please?​
Art [367]

Answer:

W { 2,3}

Step-by-step explanation:

The elements in W are the integers between  2 and 4 and including 2

That would be 2 and 3

W { 2,3}

3 0
3 years ago
The volleyball team and the wrestling team at Stamford High School are having a joint car wash today,
Sedbober [7]

Answer:

Money raised by each team = 94 + 11 = <em>$105</em>

Number of cars washed = <em>11</em>

Step-by-step explanation:

Money already present with volleyball team = $50

Money raised by washing each car by volleyball team = $5

Let the number of cars washed = x

Money raised by washing cars = $5x

Money already present with volleyball team = $94

Money raised by washing each car by volleyball team = $1

Money raised by washing cars = $1x = $x

Given that, both the teams have raised same amount of money:

50+5x=94+x\\\Rightarrow 44=4x\\\Rightarrow x=11

Money raised by each team = 94 + 11 = <em>$105</em>

Number of cars washed = <em>11</em>

4 0
3 years ago
Please help, I need this answer
Rom4ik [11]

Answer:

6.4

Step-by-step explanation:

By the Pythagorean Theorem:

c=\sqrt{5^2+4^2}= \\\\\sqrt{25+16}= \\\\\sqrt{41}\approx 6.4

Hope this helps!

6 0
3 years ago
Read 2 more answers
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