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alex41 [277]
3 years ago
9

The sum of two consecutive integers is one less than three times the smaller integer. Find the two integers.

Mathematics
1 answer:
Minchanka [31]3 years ago
3 0

The small number is 2.

The large number is 3.

<u>Step-by-step explanation:</u>

Let the two consecutive numbers be x and x+1.

  • x be the small integer.
  • x+1 be the large integer.

The sum of these two consecutive integers = small integer + large integer

The sum of these two consecutive integers is x+x+1 = (2x+1)

It is given that,

  • The sum of two consecutive integers is one less than three times the smaller integer.
  • This means that, (2x+1) is one less than three times the smaller integer.
  • Here, the small integer is represented as x.

<u>Therefore, it can determined that :</u>

(2x+1) = 3x-1

Keeping x term on one side and constants on other side,

3x-2x = 1+1

x = 2

Therefore, the small number is 2 and the large number is x+1 = 3.

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RUDIKE [14]

Answer:

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Step-by-step explanation:

8 0
3 years ago
I'm not sure how to start the process....
lesantik [10]
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3 0
3 years ago
Alexandra purchases two donuts and three cookies at the donut shop and it's charged $3.30. Brianna purchases five donuts and two
Amiraneli [1.4K]

Given:

Cost of two donuts and three cookies = $3.30

Cost of five donuts and two cookies = $4.95

To find:

The cost of each donut.

Solution:

Let x be the cost of each donut and y be the cost of each cookie.

Cost of two donuts and three cookies = $3.30

2x+3y=3.30          ...(i)

Cost of five donuts and two cookies = $4.95

5x+2y=4.95          ...(ii)

Multiply equation (i) by 2.

4x+6y=6.60          ...(iii)

Multiply equation (ii) by 3.

15x+6y=14.85      ...(iv)

Subtracting (iii) from (iv), we get

15x+6y-4x-6y=14.85-6.60

11x=8.25

Divide both sides by 11.

x=\dfrac{8.25}{11}

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Therefore, the cost of each donut is $0.75.

7 0
2 years ago
73 people are on the train. At a train stop 24 people get off and 19 people get on. How many people are on the train now?
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Which describes the correct procedure when converting a number from scientific notation to standard notation if the power of 10
jenyasd209 [6]

Answer:

A. Move the decimal point to the left

Step-by-step explanation:

Given that:

The scientific notation = 10⁻¹⁰

Let recall;

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For example;

Let say 10⁻¹ will be \dfrac{1}{10} in scientific notation;

SO, \dfrac{1}{10} = 0.1

Now; we are given 10⁻¹⁰ as a scientific notation,

To standard notation, we get:

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= 0.01

Thus, it is true to say that the decimal point will be moved to the left side when converting a number from scientific notation to standard notation if the power of 10 is  -10.

4 0
2 years ago
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