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cestrela7 [59]
2 years ago
13

Your cell phone provider charges a monthly fee of $19.50 for 200 minutes. You are also charged $.25 per minute for each minute o

ver 200 minutes. Last month, your bill was $29.50. a. Let m represent the total number of minutes you used last month. Use the verbal model below to write an equation.
Mathematics
1 answer:
Shalnov [3]2 years ago
3 0

Answer:

T = $19.50 + $0.25(m - 200)

Step-by-step explanation:

Using the information provided we can create the following equation. This equation subtracts 200 from the total number of minutes and multiplies this by the cost per minute. Then it adds the fixed cost for the initial 200 minutes to get the total of the bill (T).

T = $19.50 + $0.25(m - 200)

Now that we have the equation we can plug-in you total for last month's bill and solve for m to calculate how many minutes you used last month.

$29.50 = $19.50 + $0.25(m - 200) ... distribute 0.25

$29.50 = $19.50 + $0.25m - 50  ... combine like terms

$29.50 = $0.25m - $30.5 ... add 30.5 on both sides

$60 = $0.25m ... divide both sides by 0.25

240 = m

Finally, we can see that you used a total of 240 minutes last month.

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Given that the product of two positive integers is 44, and their least common multiple is 22, what is their greatest common divi
swat32

Answer:

2

Step-by-step explanation:

For any positive numbers a,b we always have the following identity:

a\cdot b=gcd(a,b)\cdot lcm(a,b)

(gcd(a,b) denotes the greatest common divisor between a and b, and lcm(a,b) denotes the least common multiple between a and b)

In our case, we are given that a\cdot b = 44 and that lcm(a,b)=22. Plugging that in into our identity, we get:

44=gcd(a,b)\cdot 22

And so solving for gcd(a,b):

gcd(a,b)=\frac{44}{22}=2

5 0
3 years ago
HELP ME WITH 16 & 17
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__Data__

The equilateral's lengths are all the same

Also if AB = AD = BD = CD that would mean all those sides have the exact same length

Answers and Explanations

15A. BCD has 2 acute angles and one obtuse angle, so this is an Obtuse Triangle

15B. If beforementioned = 5 cm

Then the perimeter is 5cm x 3 = 15cm

15C. ABC is a Right Triangle  

16. abcdef. Measure the angles using a protractor

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7 0
2 years ago
· y = 3x - 7<br> Find the slope
coldgirl [10]

Answer:

3

Step-by-step explanation:

the slope of an equation (y=mx+b) is always "m", or the coefficient right infront of x. in this case, y=3x-7, 3=m, -7=b. m is the slope, so the slope is 3.

3 0
3 years ago
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If you add 5 to me and then divide by 9. you get 3 What number am I?​
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Answer:

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Step-by-step explanation:

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6x + 15 = 6x + 18

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So, there are no solutions to this equation.
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3 years ago
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