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poizon [28]
3 years ago
15

3x+2(5x-3)=7 with steps

Mathematics
1 answer:
EleoNora [17]3 years ago
6 0

Answer: x=1

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

3*x+2*(5*x-3)-(7)=0

3x + 2 • (5x - 3)) - 7 = 0

Pull out like factors :

13x - 13 = 13 • (x - 1)

13 = 0

A a non-zero constant never equals zero.

Solve : x-1 = 0

Add 1 to both sides of the equation :

x = 1

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Suppose Samantha is walking at a constant speed of 0.5 miles every 6 minutes from her house to a coffee shop located 1.3 miles a
Effectus [21]

Answer:

a) It takes Samantha 12 minutes to walk 1 mile

b) It takes Tina 6 minutes to bike 1 mile

c) k(t) = 0.083t

d) m(t) = 0.167t

e) Tina arrives befora Samantha

Step-by-step explanation:

a) How many minutes does it take Samantha to walk 1 mile?

This is a direct rule of three problem. So:

6 minutes - 0.5 miles

x minutes - 1 mile

x = 6/0.5 = 12 minutes

It takes Samantha 12 minutes to walk 1 mile

b) How many minutes does it take Tina to bike 1 mile?

Quite similar to a)

1.5 minutes - 0.25 miles

x minutes - 1 mile

x = 1.5/0.25 = 6 minutes

It takes Tina 6 minutes to bike 1 mile

c) Write a function k that determines the number of miles Samantha has walked in terms of the number of minutes.

We know that it takes 6 minutes for Samantha to walk 0.5miles. To build our function k, we need to know how many miles Samantha walks a minute.

So

6 minutes - 0.5 miles

1 - minutes - x miles

x = 0.5/6 = 0.083 miles

So the number of miles in function of t is

k(t) = 0.083t

d) Write a function m that determines the number of miles Tina has biked in terms of the number of minutes since she started biking

Same logic as c). So:

1.5 minutes - 0.25 miles

1 minute - x miles

x = 0.25/1.5

x = 0.167

So the number of miles in function of t is:

m(t) = 0.167t

e)

Samantha will arrive when k = 1.3, so:

0.083t = 1.3

t = 15.66 minutes

Tina will aririve when m = 2.5, so:

0.167t = 2.5

t = 14.9 minutes

Tina arrives befora Samantha

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3 years ago
The equations below represent the total amount charged, y, by two different plumbers as a function of the number of hours worked
miss Akunina [59]

Answer:

both plumbers charge $120 for 3 hours of work

Step-by-step explanation:

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2) 120=y and y stands for money charged

so the points (3, 120) show that the plumbers both charge 120 for 3 hrs.

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