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hram777 [196]
3 years ago
12

Today, Joelle walked 20 minutes at a rate of 3 miles per hour, and she ran 15 minutes at a rate of 6 miles per hour. How many to

tal miles did Joelle travel while walking and running? Please have a descriptive explanation. Thanks :)
Mathematics
1 answer:
vivado [14]3 years ago
7 0
Joelle walked for 20 minutes and her speed was 3 miles per hour.
So
In 1 hour or 60 minutes Joelle walked for a distance of = 3 miles
Then
In 20 minutes Joelle walked for = (3/60) * 20 miles
                                                   = 60/60 miles
                                                   = 1 mile
Again
Joelle ran for 15 minutes at a speed of 6 miles per hour
So
In 1 hour or 60 minutes Joelle walked for a distance of = 6 miles
so
In 15 minutes Joelle walked for a distance of = (6/60) * 15 miles
                                                                         = 15/10 miles
                                                                         = 3/2 miles
So 
The total distance covered by Joelle = 1 + (3/2) miles
                                                           = (5/2) miles
                                                          = 2 1/2 miles
So Joelle covered a total distance of 2 1/2 miles while walking and running.<span />
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notsponge [240]

To stay within budget, she must use 3.9 gigabytes.

Giving the following information:

Under her cell phone plan, Sofia pays a flat cost of $54.50 per month and $5 per gigabyte. She wants to keep her bill at $ 74 per month.

First, we need to establish the total cost formula:

Total cost= 54.5 + 5*x

x= number of gigabytes

Now, we isolate x:

74= 54.5 + 5x

19.5/5= x

3.9= x

To stay within budget, she must use 3.9 gigabytes

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3 0
1 year ago
Complete the square to determine the maximum or minimum value of the function defined by the expression. x2 + 8x + 6
irga5000 [103]

Answer:

Minimum at (-4, -10)

Step-by-step explanation:

x² + 8x + 6

The coefficient of x² is positive, so the parabola opens upward, and the vertex is a minimum.

Subtract the constant from each side

x² + 8x = -6

Square half the coefficient of x

(8/2)² = 4² = 16

Add it to each side of the equation

x² + 8x + 16 = 10

Write the left-hand side as the square of a binomial

(x + 4)² = 10

Subtract 10 from each side of the equation

(x+ 4)² -10 = 0

This is the vertex form of the parabola:

(x - h)² + k = 0,

where (h, k) is the vertex.

h = -4 and k = -10, so the vertex is at (-4, -10).

The Figure below shows your parabola with a minimum at (-4, -10).

4 0
3 years ago
The perimeter of a rectangle is 36 units. the width, w, of the rectangle is 8 units.which equation correctly relates the given i
pychu [463]

The length of the given rectangle is 10 units.

Here, we are given that the perimeter of a rectangle is 36 units.

A rectangle is a figure with 4 sides and opposite sides equal. The perimeter of a rectangle is calculated using the given formula-

Perimeter = 2 ( length + breadth )

Here, the breadth (width) is given to be 8 units.

Let the length be x units.

Then, we can form the following equation-

Perimeter = 2( x + 8 )

36 = 2x + 16

36 - 16 = 2x

20 = 2x

2x = 20

x = 20/2

x = 10

Thus, the length of the given rectangle is 10 units.

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6 0
1 year ago
What's the answer please help
boyakko [2]
You don't need the apothem if the side length is known, the area can be expressed as:

A(n,s)=ns^2/(4tan(180/n)), n=number of sides and s=side length so

A(7,28)=(7*28^2)/(4tan(180/7))

A≈2848.987 ft^2

A≈2849 ft^2  (to the nearest tenth of a square foot)
6 0
3 years ago
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Leno4ka [110]

Answer:

7.3%

Step-by-step explanation:

First you have to find out what 38 out of 41 is as a percentage

This is 92.68%

so now we have to do

100.00 - 92.68 this is 7.32

But you said round to the nearest tenth so it would actually be rounded down to 7.3%

4 0
2 years ago
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