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vichka [17]
3 years ago
7

sheilas cell phone plan consists of a monthly rate and a fee for each minute she talks over 500 minutes per month. Her july bill

showed 630 minutes and a total charge of $53.55. Her august bill showed 709 minutes of use and a total charge of $63.03. what is the monthly rate and how much is she being charged for her extra minutes?
Mathematics
1 answer:
tatuchka [14]3 years ago
7 0
First of all we need to formulate two equations.

x = monthly fee per minute
y = monthly fee per minute over 500

500x + 130y = $53.55
500x + 209y = $63.03

Since we know that 500x = $53.55 - 130y we can substitute.

($53.55 - 130y) + 209y = $63.03
79y = 9.48
y = $0.12

Now we can substitute y into the other equation.

500x = $53.55 - 130(0.12)
500x = $53.55 - $15.6
500x = $37.95

So the answer is $37.95 monthly for 500 minutes with an over quota fee of $0.12 per minute.
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The highest elevation in the United States is Mt. McKinley in Alaska, which measures 6,194 meters above sea
Whitepunk [10]

Answer:

the answer is D 6,280

Step-by-step explanation:

Since it says difference you subtract, 86 is below sea level so it'd be -86

the equation would be 6,194 - (-86)

6,194+ 86 = 6,280

3 0
3 years ago
If 8 identical blackboards are to be divided among 4 schools,how many divisions are possible? How many, if each school mustrecei
MAXImum [283]

Answer:

There are 165 ways to distribute the blackboards between the schools. If at least 1 blackboard goes to each school, then we only have 35 ways.

Step-by-step explanation:

Essentially, this is a problem of balls and sticks. The 8 identical blackboards can be represented as 8 balls, and you assign them to each school by using 3 sticks. Basically each school receives an amount of blackboards equivalent to the amount of balls between 2 sticks: The first school gets all the balls before the first stick, the second school gets all the balls between stick 1 and stick 2, the third school gets the balls between sticks 2 and 3 and the last school gets all remaining balls.

 The problem reduces to take 11 consecutive spots which we will use to localize the balls and the sticks and select 3 places to put the sticks. The amount of ways to do this is {11 \choose 3} = 165 . As a result, we have 165 ways to distribute the blackboards.

If each school needs at least 1 blackboard you can give 1 blackbooard to each of them first and distribute the remaining 4 the same way we did before. This time there will be 4 balls and 3 sticks, so we have to put 3 sticks in 7 spaces (if a school takes what it is between 2 sticks that doesnt have balls between, then that school only gets the first blackboard we assigned to it previously). The amount of ways to localize the sticks is {7 \choose 3} = 35. Thus, there are only 35 ways to distribute the blackboards in this case.

4 0
3 years ago
3<br> Question 7<br> Evaluate<br> if m = -32 and n = 2.<br> +<br> -<br> alo<br> CH OVO
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3 years ago
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4 0
3 years ago
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Whole-wheat bread costs $2.06/lb. How much would 3.8 lb of whole-wheat bread cost?
Xelga [282]
Whole-wheat bread = $2.06/lb

We need the cost of 3.8 lbs of whole-wheat bread.

So, we simply need to multiply the cost with the amount needed.

(cost per pound) × (amount of bread)

($2.06) × (3.8)

Simplify.

$7.828

Round to the nearest tenths.

$7.83

So, 3.8 pounds of whole wheat bread costs $7.83

~Hope I helped!~


7 0
3 years ago
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