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marta [7]
3 years ago
6

For his phone service, Jonh pays a monthly fee of $30, and he pays and additional $0.05 per minute of use. the least he has been

charged in a month is $99.45
what are the possible number of minutes he has used his phone in a month?
use m for the numbers of minutes, and solve your inequality for m.​
Mathematics
2 answers:
REY [17]3 years ago
8 0
$99.45-$30= $69.45

$69.45/.05= 1,389

He's been using his phone for 1,389 minutes.

0.05m + 30= $99.45
Lelechka [254]3 years ago
6 0

Answer:

m= 1395

Step-by-step explanation:

99.45 -30=

69.45

69.45 divided by 0.05

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Two kids are roller skating. Amy, with a mass of 55 kg, is traveling forward at 3 m/s. Jenny, who
alekssr [168]

Answer:

They traveling at 0.37\ m/s in backward direction.

Step-by-step explanation:

Given mass of Ammy m_1=55kg

and velocity is forward at v_1=3m/s

Also, mass of Jenny m_2=40kg

Who is travelling in opposite direction v_2=-5m/s

Let velocity in forward direction is positive and velocity in backward direction is negative.

Also, velocity after crash is v

As they crashed into each other and they moved as one mass. We can apply principle of conservation of momentum.

Conservation of momentum says momentum before collision should equal to momentum after collision.

m_1v_1+m_2v_2=(m_1+m_2)v

(55\times3)+(40\times(-5))=(55+40)v\\\\165-200=95v\\\\-35=95v\\\\v=\frac{-35}{95}=-0.368m/s

So, velocity after collision v≅-0.37m/s is in opposite direction. That is the direction of Jenny.

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3 years ago
Is the line through points P(2, –5) and Q(–5, –1) parallel to the line through points R(5, 4) and S(–2, 5)? Explain.
Irina-Kira [14]

Answer:

the answer is No

Step-by-step explanation:

Since the first line has a slope of -4/7 and the other line has a slope of -1/7. This can be shown in point slope form y-y1=m(x-x1) where m=∆y/∆x.

Through points P and Q, the point slope is represented as -1-(-5)=m(-5-2) ; 4 = -7m ; m = 4/-7. The next two points R and S can be shown in point slope as 5-4=m(-2-5) ; 1 = -7m ; m =1/-7. With the fact that parallel lines must have equal slopes, these two lines cannot be parallel because -4/7≠-1/7

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