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Elina [12.6K]
1 year ago
15

john ran at a pace of 3.5 miles per hour for a distance of 10.5 miles. how many minutes did it take him to run 10.5 miles? use t

he distance formula: d
Mathematics
1 answer:
Rainbow [258]1 year ago
5 0

The minutes it takes him to run 10.5 miles is 180 minutes

<h3>How many minutes did it take him to run 10.5 miles?</h3>

The given parameters are

Speed = 3.5 miles per hour

Distance = 10.5 miles

The time is calculated as:

Time = Distance/Speed

So, we have

Time = 10.5 miles/3.5 miles per hour

Evaluate the quotient

Time = 3 hours

Convert to minutes

Time  = 180 minutes

Hence, the minutes it takes him to run 10.5 miles is 180 minutes

Read more about speed at:

brainly.com/question/6504879

#SPJ1

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$82.80
I hope this helped!
4 0
3 years ago
Find b and s. At The present time Mrs. B's age is six years more than four times her sons age. Three years ago she was seven tim
padilas [110]

Answer:

Mrs. B's age = y = 38 years

her son's age = x = 8 years

Step-by-step explanation:

To Find:

Mrs. B's age = y =?

her son's age = x = ?

Solution:

Let Mrs. B's age  be 'y' years

and her son's age be 'x' years

Three years ago Mrs B's will be (y - 3) and her son's age will be (x - 3)

According to the first given condition,

y = 6 + 4x ...............Equation ( 1 )

According to the second given condition,

(y - 3 ) = 7 (x - 3 )..........Equation ( 2 )

equating equation 1 in equation 2 we get

6 + 4x -3 = 7x - 21

7x - 4x = 21 + 3

∴ 3x=24\\\therefore x =\frac{24}{3} \\\\\therefore x =8\ years

Now substitute x in equation 1 we get

y = 6 + 4×8

y = 6 + 32

∴ y = 38 years

Mrs. B's age = y = 38 years

her son's age = x = 8 years

6 0
3 years ago
Substitute x = 5 into the expression (-2)x + 6. Do you get -4? Substitute x = -1 into the expression (-2)x + 6. Do you get - 4 W
8090 [49]

Answer:The first method, by substituting  5 into the expression   (-2)x + 6 gives the coreect answer of   -4

Step-by-step explanation:

Ist method

Substituting  x = 5 into the expression   (-2)x + 6,  we have

 (-2) 5 + 6,

=-10 + 6

=-4

2nd method

Substitute x = -1 into the expression (-2)x + 6,we have

(-2)(-1) + 6

2  +6=10

The first method, by substituting  5 into the expression   (-2)x + 6 gives the coreect answer of   -4

7 0
3 years ago
The end points of a diameter of a circle are (6,2) and (-4,7).
motikmotik

Answer:

Step-by-step explanation:

The standard form equation of a circle with radius r is expressed as

( x − h )^2 + ( y − k )^2 =r ^2 ,

where r represents the radius

h and k are the coordinates of the center of the circle C( h , k )

To determine the coordinates at the center of the circle, the midpoint formula would be used. It is expressed as

[(x1 + x2)/2 , (y1 + y2)/2]

Midpoint of the circle =

(6 - 4)/2 , (2 + 7)/2 = (1, 4.5)

h coordinate of the center = 1

k coordinate of the center = 4.5

r^2 = (x - h)^2 + (2 - k)^2

r^2 = (6 - 1)^2 + (2 - 4.5)^2

r^2 = 5^2 + (- 2.5)^2 = 25 + 6.25

r^2 = 31.25

Substituting r^2 = 31.25, h = 1 and k = 4.5 into (x − h )^2 + ( y − k )^2 = r^2, the standard equation of the circle becomes

(x − 1 )^2 + ( y − 4.5 )^2 = 31.25

3 0
3 years ago
Count the left-handed and right-handed spirals on the cacti in the photograph.
Digiron [165]

Answer:

2 = 1 + 1

3 = 2 + 1

5 = 3 + 2

8 = 5 + 3

13 = 8 + 5

21 = 13 + 8.

Fibonacci numbers are found in many structures in nature.

We have just found that these cacti enclose Fibonacci numbers 13 and 21.

13 and 21

Step-by-step explanation:

8 0
3 years ago
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