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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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Andre took 6 kicks and made 4 goals: 4 out of six. Tom wants to take more than 20 kicks and make a equivalent fraction to Andre.
Zanzabum

Answer:

Tom can either take 24 kicks and make 16 goals or 30 kicks and make 20 goals.

Step-by-step explanation:

Andre made 4 goals out of 6 kicks.

Tom wants to take more than 20 kicks and to make an equivalent fraction to Andre.

<u>Possibility 1:</u>

Let Tom makes 24 kicks.

To get 24, we need to multiply the denominator of Andre's fraction by 4.

So, \frac{4}{6} =\frac{16}{24}

Therefore, Tom can take 24 kicks and make 16 goals.


<u>Possibility 2:</u>

Let Tom makes 30 kicks.

To get 30, we need to multiply the denominator of Andre's fraction by 5.

So, \frac{4}{6} =\frac{20}{30}

Therefore, Tom can take 30 kicks and make 20 goals.



8 0
2 years ago
Help please no link i have no clue
Morgarella [4.7K]

Answer: I have no clue what the second one is but the first one is 1.

Step-by-step explanation:

8 0
2 years ago
PLEASE HELP!!!!
love history [14]
<h3>Answer is 1.5 square meters</h3>

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

Work Shown:

The portion of the fabric that is laying across the ground is 2 meters. The portion of the fabric from the ground to the highest point (along the fabric's edge) is 1.5 meters, half of that is 0.75 meters and this is the length of the shadow. We can see this by forming a 30-60-90 triangle. The hypotenuse is 1.5 meters, the short leg is 0.75 meters. The short leg is always half of the hypotenuse of any 30-60-90 triangle, and the short leg is opposite the 30 degree angle.

So this shadow has length of 2 meters and 0.75 meters, making its area be 0.75*2 = 1.5 square meters when the sun is directly overhead at 12 noon

8 0
3 years ago
What is 17/50 in a percent and decimal
lisabon 2012 [21]

In decimal form: 0.34

In percent form: 34%

3 0
3 years ago
Alyssa took a math test for 20 questions and she answered 16 questions correctly in order to get an a she needs to answer at lea
Elenna [48]

Answer:

She did not qualify the exam.

Step-by-step explanation:

Given data

Total no of question in a test = 20

No. of question answered correctly = 16

Percentage of question answered correctly

(\frac{16}{20}) 100 = 80

But in order to get in the exam the student must have to score at least 90 %. But she got only 80 % so she did not qualify the exam.

6 0
3 years ago
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