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artcher [175]
3 years ago
6

In a racing game, Austin has traveled 1,988 meters from the starting line. He's cruising with confidence when suddenly he slips

on a giant banana peel lying in the middle of the road, causing his position to change by −7.2 meters! How many meters must Austin drive to get back to where he was before slipping on the banana peel?
Mathematics
1 answer:
Korolek [52]3 years ago
7 0

Answer:

1987.2

Step-by-step explanation:

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A piece of land is shaped like a right triangle. Two people start at the right angle at the same time, and walk at the same spee
sweet [91]

Answer:

1 m/s

Step-by-step explanation:

the area of the triangle = A = ¹/₂ab

where a is the distance covered by the first person and b is the distance covered by the second person. since they walk at the same speed, then a = b, so our formula can be changed to A = ¹/₂x²

now we find the derivative of both sides:

dA/dt = ¹/₂ ⋅ dx²/dt

dA/dt = ¹/₂ ⋅ 2x ⋅ dx/dt

dA/dt = x ⋅ dx/dt = x ⋅ velocity

we are told that x = 5 m, and dA/dt = 5 m²/s

velocity = dA/dt / x

velocity = 5 m²/s / 5 m = 1 m/s

7 0
3 years ago
a glass jar has 64 chocolate. mark, dave and ralph will share the chocolate in the ratio of 1:1:2, how many chocolates will each
tia_tia [17]

Step-by-step explanation:

64/(1+1+2)

= 64/4

= 16

1 : 1 : 2

mark = 1×16 = 16

dave = 1×16 = 16

ralph = 2×16 = 32

8 0
2 years ago
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nikdorinn [45]
The answer is 120 to find mt
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What is a ratio that compares two quantities measured in different units
Lisa [10]
A ratio that compares two quantities measured in different units is a conversion factor!
8 0
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Write and solve a real-world problem that represents the following one-variable inequality.
serg [7]
Hello there! An example problem for this could be:
Emile is looking for a cell-phone plan. His two options are one that costs $40 up front, and costs $0.01 per text, represented by x. The second one is 15 dollars up front and costs $0.06 for each text message. Emile figures that for the first package he has to send 500 texts or more to make it less than the second one. 
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