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Sav [38]
2 years ago
12

a phone plan has a limit of $25 that can be spent on text messages. the base cost of the text plan will cost a user $5. each tex

t will cost $0.05. how many text messages can a user send without exceeding the plan limits
Mathematics
2 answers:
makvit [3.9K]2 years ago
8 0

0.05x + 5 = y

0.05x + 5 ≤ 25

<u>           - 5 </u>  <u> - 5 </u>

0.05x      ≤ 20

\frac{0.05}{0.05}x ≤ \frac{20}{0.05}

        x ≤ 400

Answer: 400 text messages

Keith_Richards [23]2 years ago
6 0

25 - 5 = 20
20 is after the base cost
400 \times .05 = 20.00
400 text messages can be sent without exceeding the limit.
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Pecans that cost $28.50 per kilogram were mixed with almonds that cost $22.25 per kilogram. How many kilograms of each were used
atroni [7]

Answer:

The pecans used in the mixture =  8 kg

The almonds used in the mixture  =  17 kg

Step-by-step explanation:

The cost of per kg of pecans  = $28.50

The cost of per kg of almonds = $22.25

Now, total weight of mixture  = 25 kg

Let us assume the weight of pecans in the mixture   =   m kg

So, the amount of almonds in the mixture  = Total weight - Weight of Pecans

= (25 - m) kg

Now, cost of m kg pecans  = m x ( cost of 1 kg pecans) = m x ( $ 28.50)

                                              =  28.50 m

cost of (25- m) kg almonds  = (25 -m)  x ( cost of 1 kg almonds)

                                                = (25 - m) x ( $ 22.25)

                                                =  556.25  - 22.25 m

Total cost  of 25 kg of mixture  = 25 x ( $24.25) =  $606.25

Now, Total Cost of (almonds  + Pecans)  = Total cost of mixture

⇒28.50 m + 556.25  - 22.25 m  = $606.25

or,6.25 m =  50

or, m = 50/6.25 =  8

Hence, the pecans used in the mixture = m = 8 kg

And the  almonds used in the mixture  = (25 - m) = 25 - 8 = 17 kg

5 0
2 years ago
A number, x, rounded to 2 significant figures is 1300<br>Write down the error interval for x.​
nikitadnepr [17]

Answer:

[1250,1350).

Step-by-step explanation:

It is given that a number, x, rounded to 2 significant figures is 1300.

It is possible if,

1. The value of x is greater than of equal to 1250 and less than or equal to 1300.

i.e., 1250\leq x\leq 1300     ...(1)

2. The value of x is greater than of equal to 1300 and less than 1350.

i.e., 1300\leq x       ...(2)

On combining (1) and (2), we get

1250\leq x < 1350

1350 is not included in the error interval for x.​

Interval notation is [1250,1350).

Therefore, the error interval for x is [1250,1350).

7 0
2 years ago
Bethanie recently used her cell phone to deposit a check. This is considered to be what type of electronic banking service?
defon

the answer is transactional service 
7 0
2 years ago
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Find the equation of a line parallel to -3x-5y=4 that contains the point (4,3). Write the equation and slope intercept form
allsm [11]

Answer:

y= 10

Step-by-step explanation:

-3x-5y=4

+3x        +3x

-5y=7x

+5y     +5y

y= 10

4 0
2 years ago
Jackson goes to the gym 0, 2, or 3 days per week, depending on work demands. The expected value of the number of days per week t
valina [46]

For a probability distribution the expected value is the summation of product of probabilities with their respective data values. Let x be the probability that Jackson goes gym for 2 days and y be the probability that he goes gym for 3 days.

For the given case we have following values and their probabilities:

0 : 0.1

2 : x

3 : y

So the expected value will be = 0(0.1) + 2(x) + 3(y)

Expected value is given to be 2.05. So we can write the equation as:

2x + 3y = 2.05 (Equation 1)

Also for a probability distribution, the sum of probabilities must always equal to 1. So we can set up the second equation as:

0.1 + x + y = 1

x + y = 0.9 (Equation 2)

From Equation 2 we can write the value of x to be x = 0.9 - y. Using this value in equation 1, we get:

2(0.9 - y) + 3y = 2.05

1.8 - 2y + 3y = 2.05

1.8 + y = 2.05

y = 0.25

Using the value of y in equation 2 we get value of x to be 0.65

Therefore we can conclude that:

The probability that Jackson goes to gym for 2 days is 0.65 and the probability that he goes to gym for 3 days is 0.25

6 0
2 years ago
Read 2 more answers
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