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Zepler [3.9K]
3 years ago
12

There are 2 cell phone plans available from Cell phones R us company. Plan A charges 35$ a month plus $0.05 for every text messa

ge. Plan B charges $50 a month plus $0.01 for every text message. How many text messages do you need to send in order for plan A to be cheaper than plan B?
A.) 35 + 0.05m > 50 + 0.01m

B.) 35 + 0.05m > 50 + 0.01m

C.) 35 + 0.05m ≤ 50 + 0.01m

D.) 50 + 0.05m > 35 + 0.01m
Mathematics
2 answers:
kkurt [141]3 years ago
5 0
The correct inequality is letter a.
You have to send more than 375 text messages for Plan B be cheaper than plan A
likoan [24]3 years ago
5 0
Okay. I think you mean how many text messages must you send, until plan B is cheaper than plan A. Plan A is the one with the $30 fixed amount and plan B is the one with the $50 dollar fixed amount. The key words "cheaper than" means that our sign will be less than, not less than or equal to. Therefore, C is out.  We are looking for plan B ($50 fixed amount) to be less than. B and D are out, because those are greater than symbols toward plan B. A is the only one that shows the proper answer, and when you solve it right, you get m > 375. You would have to send 376 messages in order for plan B to be cheaper. The answer is A.
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The angle θ lies in Quadrant II. sinθ=3/4 What is cosθ ?
Elden [556K]

Hello from MrBillDoesMath

Answer:

[email protected] = - sqrt(7)/ 4    

which is choice B

Discussion:

This problem can be solved by drawing triangles and looking at ratios of sides or by using the trig identity:

([email protected])^2 + (sin2)^2 = 1

If [email protected] = 3/4 , the

([email protected])^2 + (3/4)^2 = 1 =>              (subtract (3/4)^2 from both sides)

([email protected])^2 = 1 - (3/4)^2  = 1 - 9/16   = 7/16

So...... taking the square root of both sides gives

[email protected] =  +\- sqrt(7)/ sqrt(16) = +\- sqrt(7)/4

But is [email protected] positive or negative?  We are told that @ is in the second quadrant and cos(@) is negative in this quadrant, so our answer must be negative

[email protected] = - sqrt(7)/ 4    

which is choice B


Thank you,

Mr. B


4 0
3 years ago
Really need help on #15 please.
ollegr [7]

Step-by-step explanation:

Let's call L the length and W the width.  The length is 10 feet longer than the width, so:

L = W + 10

The area is the length times width, so:

119 = LW

Substituting:

119 = (W + 10) W

119 = W² + 10W

0 = W² + 10W − 119

0 = (W + 17) (W − 7)

W = -17 or 7

Since W must be positive, W = 7.

L = W + 10

L = 17

The length and width are 17 feet and 7 feet, respectively.

5 0
3 years ago
If a family spend $840 in a year on rent how much do they spend in a manth
dalvyx [7]
Month*
divide 840 with 12
as 1 year has 12 months
and you get 70$

so the family spends $70 every month
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3 years ago
4. A lampshade is in the shape of a cone. The radius iš 7 inches and the height 9
dsp73

Answer:

461.8

Step-by-step explanation:

V=(1/3) πr^2h

V=(1/3)π(7^2)9

V=461.8

Sorry inputed wrong in calculator first time

3 0
3 years ago
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nataly862011 [7]
<span>8+0.4+0.07+0.008 you basically separate the numbers starting with the largest working down to the smallest.

i hope i helped

</span>
7 0
3 years ago
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