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ANEK [815]
3 years ago
15

The johnsons pay $9.95 a month plus $.035 per min for local phone service. Last month, they paid $12.75. How many minutes of loc

al calls did they make?
Mathematics
2 answers:
Leona [35]3 years ago
3 0
  • Answer : The Johnson's  used 8 minutes of local calls.  
sergeinik [125]3 years ago
3 0

Answer:

Johnson's made 80 minutes of local calls

Step-by-step explanation:

The Johnson's pay $9.95 a month plus $0.035 per min for local phone service.

i.e. if Johnson's makes a local phone call for m minutes in a month then, monthly payment they have to make equals

$(9.95+0.035m)

Last month, they paid $12.75.

Let they made m minutes of local calls

then, 9.95+0.035m=12.75

0.035m=12.75-9.95

0.035m=2.8

m=2.8/0.035

m=80

Hence, Johnson's made 80 minutes of local calls

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A company manufactures two types of electric hedge trimmers, one of which is cordless. The cord-type trimmer requires 2 hours to
Delvig [45]

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

The inequalities that describe the constraints on the number of each type of hedge trimmer produced are:

x + y ≤ 200

2x + 10y ≤ 1000

<h3>What is inequality?</h3>

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

Total number of hours = 1000

Total number of trimmers = 200

Let x represent the number of cord-type models,

Let y represent the number of cordless models.

Now,

x + y ≤ 200

2x + 10y ≤ 1000

Thus,

The inequalities that describe the constraints on the number of each type of hedge trimmer produced are:

x + y ≤ 200

2x + 10y ≤ 1000

Learn more about inequalities here:

brainly.com/question/20383699

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6 0
1 year ago
If the distribution is really (5.43,0.54)
defon

Answer:

0.7486 = 74.86% observations would be less than 5.79

Step-by-step explanation:

I suppose there was a small typing mistake, so i am going to use the distribution as N (5.43,0.54)

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The general format of the normal distribution is:

N(mean, standard deviation)

Which means that:

\mu = 5.43, \sigma = 0.54

What proportion of observations would be less than 5.79?

This is the pvalue of Z when X = 5.79. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{5.79 - 5.43}{0.54}

Z = 0.67

Z = 0.67 has a pvalue of 0.7486

0.7486 = 74.86% observations would be less than 5.79

7 0
3 years ago
Given that f(x) = x² + 3x 28 and g(x) = x + 7, find f(x) + g(x) and
ozzi

Answer:

f(x) + g(x) = x^2 + 4x + 35

Step-by-step explanation:

Add like terms from f(x) and g(x):

f(x) + g(x) = x^2 + 3x + 28 + x + 7, or

f(x) + g(x) = x^2 + 4x + 35

7 0
3 years ago
Points q, r, s, t, are plotted on the number line below<br><br><br><br>​
vodomira [7]

Answer:

Step-by-step explanation:

must be r and s

because right at in middle of  the distance between them is 0

4 0
3 years ago
Write 6 11/13 as an improper fraction.
hoa [83]

Answer:

89/13

Step-by-step explanation:

Step 1:

Multiply the denominator by the whole number

13 × 6 = 78

Step 2

Add the answer from Step 1 to the numerator

78 + 11 = 89

Step 3

Write answer from Step 2 over the denominator

89/13

3 0
3 years ago
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