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astra-53 [7]
3 years ago
10

One positive integer is 1 greater than 3 times another positive integer. If the product of the two integers is 154, then what is

the sum of the two integers?
Mathematics
2 answers:
lianna [129]3 years ago
5 0

Answer:

29

Step-by-step explanation:

Let the smaller integer be x.

The other integer is 1 greater than 3 times x, or 3x + 1.

The product is 154.

x(3x + 1) = 154

3x^2 + x - 154 = 0

157 = 2 * 7 * 11

14 * 11 = 154

22 * 7 = 154

(3x + 22)(x - 7) = 0

3x + 22 = 0 or x - 7 = 0

3x = -22 or x = 7

x = -22/3 or x = 7

-22/3 is not a positive integer, so we discard that solution.

The smaller integer is 7.

3x + 1 = 3(7) + 1 = 22

The greater integer is 22.

The sum of the integers is 7 + 22 = 29

Westkost [7]3 years ago
4 0

Answer: 29

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

6 0
3 years ago
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I NEED HELP W THIS QUESTION!!
Kobotan [32]

Answer:

A

Step-by-step explanation:

To find the value you can just find 12% of each number (trial and error), until one of them gives you 90 as an answer:

A) 750

750 *  0.12 = 90

B) 1080

1080 * 0.12 = 129.6

C) 360

360 * 0.12 = 43.2

D) 1168

1168 * 0.12 = 140.16

This tells you that 90 is 12% of the 750, and that is why it is your answer


I hope this helps!

8 0
3 years ago
Which statement best explains whether the table represents a linear or nonlinear function?
Marta_Voda [28]

Answer: A.) It is a linear function because there is a constant rate of change in both the input and output values.

============================================================

Explanation:

Note how x is decreasing by 3 each time

  • -2-3 = -5
  • -5-3 = -8
  • -8-3 = -11

At the same time, y is also decreasing by 3 each time

  • 7-3 = 4
  • 4-3 = 1
  • 1-3 = -2

This means we have a linear function. We have,

slope = (change in y)/(change in x)

slope = (-3)/(-3)

slope = 1

Recall that slope is another term for rate of change, so a constant slope means we have a constant rate of change.

----------------

Another way to find the slope is to pick any two points from the table and use the slope formula

m = (y2 - y1)/(x2 - x1)

You should find that any two points you pick will lead to a slope of 1. I recommend you try out all possible pairs to help convince yourself the slope is 1.

7 0
3 years ago
Which of the following is the linear function?<br>1/3x=y-3<br>y=x^3+2<br>y=6x^2<br>y=2/3x​
LiRa [457]

Answer:

1/3x=y-3, y=2/3x

Step-by-step explanation:

1/3x=y-3 is a linear function because there are no powers.

y=x^3+2 is not a linear function because x is squared by 3.

y=6x^2 is not a linear function because x is squared by 2.

y=2/3x is a linear function because there are no powers.

If this helps please mark as brainliest

7 0
3 years ago
Read 2 more answers
Alexis has $3.25 in nickels and dimes. The number of dimes is 5 less than twice the number of nickels. Find the number of nickel
jek_recluse [69]

Answer:

15 nickels were there with Alexis

Step-by-step explanation:

Let there be  x nickels

given that

The number of dimes is 5 less than twice the number of nickels.

no of dimes in terms of x = 2*number of nickels - 5 = 2x - 5

we know that

value of 1 nickel = 5 cents

then

value of x nickel = 5*x cents = 5x cents

we know that

value of 1 dime = 10 cents

then

value of 2x-5 dime = 10(2x - 5)  cents = 20x - 50 cents

Total value of x nickel and 2x -5 dimes = 5x + 20x - 50 = 25x - 50

given that

Alexia has total of  $3.25 in nickel and dimes thus  25x - 50 must be equal to $3.25

$1 = 100 cents

$3.25 = 3.25 * 100 cents = 325 cents

Thus,

25x - 50 = 325

25x = 325 + 50 = 375

x = 375/25 = 15

Thus, no of nickels = x = 15  answer

5 0
3 years ago
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