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erastovalidia [21]
2 years ago
8

Dori and Malory are tracking their steps taken as a health goal. Dori leaves her house at 12:00 p.m. and walks at 50 steps per m

inute. Malory leaves her house at 12:20 p.m. and walks at 90 steps per minute. At what time will Malory's steps catch up to Dori's steps?
Mathematics
1 answer:
gladu [14]2 years ago
7 0
Let n = minutes since 12:00 pm when Malory catches up to Dori.

Dori travels
(50 steps/min)*(n minutes) = 50n steps

Malory begins walking at 12:20 pm, so she walks for (n - 20) minutes. She travels
(90 steps/min)*(n - 20  min) = 90n - 1800 steps

Equate the steps traveled by Dori and Malory.
90n - 1800 = 50n
40n = 1800
n = 45 min

The time corresponding to n = 45 min is 12:45 pm

Answer: 12:45 pm

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Let m,n,p, and q represent nonzero positive integers. find a number in terms of m,n,p, and q that is halfway between m/n and p/q
alukav5142 [94]
This is the same as averaging. You add them and divide by 2.

((m/n) + (p/q))/2 would be a number in between m/n and p/q.

Do note that n and q must be nonzero, but luckily that is a given.
7 0
2 years ago
Read 2 more answers
-12.48 -(-2.99)-5.62
KATRIN_1 [288]

Answer:

-15.11

Step-by-step explanation:

-12.48-(-2.99)-5.62=\\-12.48+2.99-5.62=\\-9.49-5.62=\\-15.11

7 0
2 years ago
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Jane builds a ramp made of a triangular prism and a rectangular prism. What is the volume
Alex787 [66]

Answer:

Correct option: third one ->  11.5 m3

Step-by-step explanation:

To find the volume of the ramp, first we need to find the volume of the rectangular prism and the volume of the triangular prism:

V_rectangular = 4m * 2m * 1m = 8 m3

V_triangular = (2m * 3.5m * 1m) / 2 = 3.5 m3

Now, to find the volume of the ramp, we just need to sum both volumes:

V_total = V_rectangular + V_triangular = 8 + 3.5 = 11.5 m3

Correct option: third one.

6 0
2 years ago
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A company with $60,000 in sales last year had $69,000 in sales this year. Assuming the company's sales continue to grow at the s
aalyn [17]

Subtract 69000 from 60000. Answer becomes 9000. So you add 9000 to 69000 2 times. Your answer becomes 87000.

5 0
2 years ago
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A lake is 200 ft wide.Two boats start to move towards one another from opposite shores.In one minute the first boat goes 40 ft a
ddd [48]

Answer:

After one second, 130 ft

After two second , 60 ft

Step-by-step explanation:

Both boats are moving towards each other,

Speed of first boat = 40 ft/min.

Speed of second boat = 30 ft/min.

So, In one Second they must have covered a total distance of 40 + 30 ft

                                                                                                        = 70 ft.

Total width of the lake = 200 ft

So, Distance remained between them after one second = 200 - 70 = 130 ft.

After two seconds , First boat will move my 80 ft and second one will move by 60 ft

So, distance between them will decrease by 140 ft.

Distance between the boats after two seconds = 60 ft.

7 0
2 years ago
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