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SIZIF [17.4K]
3 years ago
7

If the first of three consecutive integers is subtracted from 138, the result is the sum of the second and third. What are the i

ntegers?
Mathematics
1 answer:
Murljashka [212]3 years ago
6 0

Answer:

<h2>45, 46, 47</h2>

Step-by-step explanation:

n, n + 1, n + 2 - three consecutive integers

The equation:

138 - n = (n + 1) + (n + 2)

138 - n = n + 1 + n + 2                 <em>combile like terms</em>

138 - n = 2n + 3           <em>subtract 138 from both sides</em>

-n = 2n - 135               <em>subtract 2n from both sides</em>

-3n = -135            <em>divide both sides by (-3)</em>

n = 45

n + 1 = 46

n + 2 = 47

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A credit card company uses your average daily balance to compute your finance charge. You charge $100 on May 2 and $200 on May 2
liraira [26]

Answer:

<h2>$5.56</h2>

Step-by-step explanation:

On may 2, charge = $100

On may 20, charge = $200

To get the average daily balance, we will use the concept of calculating slope;

let d be day of the month and c be the amount charged

when d1 = 2, c1 = 100

when d2 = 20, c2 = 200

average daily balance = c2-c1/d2-d1

average daily balance = 200-100/20-2

average daily balance = 100/18

average daily balance ≈ 5.56

Hence your average daily balance is approximately $5.56

4 0
2 years ago
What is between 68 2/3 and 72 1/2 (options) 68 3/10, 747/11, 68 1/2, 550/8
enyata [817]
Why not write all of the numbers in decimal fraction form, to make them easier to compare?

68 2/3 = 68.666...
72 1/2 = 72.500
68 3/10 = 68.300
74 7/11 = 74.636...
68 1/2  = 68.500
550/8 = 68.750

Now ask yourself:  Which of the last four numbers is between 68.666.. and 72.500?
3 0
3 years ago
Read 2 more answers
Limit of x^2-81/x+9<br> As x goes toward -9
Semmy [17]
Hello,

Use the factoration

a^2 - b^2 = (a - b)(a + b)

Then,

x^2 - 81 = x^2 - 9^2

x^2 - 9^2 = ( x - 9).(x + 9)

Then,

Lim (x^2- 81) /(x+9)

= Lim (x -9)(x+9)/(x+9)

Simplity x + 9

Lim (x -9)

Now replace x = -9

Lim ( -9 -9)

Lim -18 = -18
_______________

The second method without using factorization would be to calculate the limit by the hospital rule.

Lim f(x)/g(x) = lim f(x)'/g(x)'

Where,

f(x)' and g(x)' are the derivates.

Let f(x) = x^2 -81

f(x)' = 2x + 0
f(x)' = 2x

Let g(x) = x +9

g(x)' = 1 + 0
g(x)' = 1

Then the Lim stay:

Lim (x^2 -81)/(x+9) = Lim 2x /1

Now replace x = -9

Lim 2×-9 = Lim -18

= -18




7 0
3 years ago
What value of x is in the solution set of 2x – 3 &gt; 11 – 5x?
pochemuha

Given:

2x -3 > 11 -5x

Simplify both sides:

2x - 3 > -5x + 11

Add 5x to both sides:

2x - 3 +5x > -5x + 11 +5

7x - 3 > 11

Add 3 to both sides:

7x - 3 +3 > 11 + 3

7x > 14

Divided 7 to both sides:

\frac{7x}{7} > \frac{14}{7}

x > 2

4 0
3 years ago
Approximately 9 out of every 50 people who saw a movie this week say they watched it on Netflix. Suppose we want to find the pro
uysha [10]

Answer:

<u></u>

  • <u>1. As a fraction: 9/50</u>
  • <u>2. As a proportion: x/1 = 9/50</u>
  • <u>3. As a percentage: 18%</u>

<u></u>

Explanation:

<u>1. As a fraction:</u>

Depart from the definition of probability: probability is the number of favoragle outcomes divided by the total number of possible outcomes:

  • Probability = number of movie-goers who say they watched a movie on Netflix this week / number of movie-goers that saw a movie this week

  • Probability = 9 / 50

<u>2. As a proportion:</u>

A proportion is the equality of two ratios. In this case you must set the ratio of people who say they watched it on Netflx, x, per every people who saw a movie this week, 1, equal to the ration 9 /50.

Hence, the proportion that shows the probability is:

  • x / 1 = 9 / 50

Where x is the probability.

<u>3. As a percentage</u>

You just have to multiply the probability by 100:

  • (9/50) × 100 = 18%
6 0
2 years ago
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