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Stolb23 [73]
3 years ago
6

LaTanya leaves her house at 12:30pm and bikes at 12 mi/h to marta’s House she stays at marta’s House for 90mij both girls walk b

ack to laTanya’s house at 2.3mi/h . They arrive at LaTanya house at 3:30pm how far is marat’s house from laTanya house
Mathematics
1 answer:
babymother [125]3 years ago
7 0

Answer:

2.9 mi

Step-by-step explanation:

The time difference t between 12.30pm and 3.30pm is 3h.

Let the distance to Marat's house be s.

The equation to calculate velocity v is given by:

v = distance / time.

Now you can write an equation for the time difference t and use the two velocities and the 90 min(= 1.5h) she stays:

3 = s/12 + 1.5 + s/2.3

Solve this equation for s:

(1/12 + 10/23)* s = 1.5

s = 2.9

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{

3x+5y=2

9x+11y=14

∣⋅(−3)

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9x+11y=14

add both sides of equations

. −4y=8 ∣:(=4)

. y=−2

substitute the value of y to the first equation

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3x−10=2 ∣+10

3x=12 ∣:3

x=4

Answer: x=4; y=−2→(4; −2)

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3 years ago
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Answer:

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Step-by-step explanation:

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