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tatyana61 [14]
2 years ago
15

Two positive integers have a sum of 15 and a product of 36. What are the integers?

Mathematics
1 answer:
joja [24]2 years ago
7 0

Answer:

  • 12 and 3

Explanation:

Let the integers be x and y

Their sum:

  • x + y = 15

<u>rewrite</u>

  • x = 15 - y

Their product:

  • (x)(y) = 36

<u>rewrite</u>

  • x = 36/y

Solving simultaneously:

  • 36/y = 15 - y
  • 36 = 15y - y²
  • y² - 15y + 36 = 0
  • (y - 12)(y - 3) = 0
  • y = 12, 3

X values:

  • when x = 12, y = 3
  • when x = 3, y = 12

The integers are 12 and 3

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Many bank accounts never go below zero. But some banks will allow a negative balance, at least for a short time, called an overd
Sergio039 [100]

Answer:

the amount after 3 weeks is $37.33

Step-by-step explanation:

Given that

His balance is -$48.82 i.e. overdraft

Now in order to get the positive balance, he plans to deposit the money of $28.55 per week

We need to find out the amount after 3 weeks

So,

= -$48.32 + $28.55 + $28.55 + $28.55

= $37.33

hence, the amount after 3 weeks is $37.33

3 0
3 years ago
Solve each equation &amp; show<br> 3) 36 = 1+ 7a
Sladkaya [172]

Answer:

a=5

The drawing will help

3 0
3 years ago
Read 2 more answers
The low temperatures last week, in degrees Fahrenheit, were 30, 35, 40, 41, 42, 45, and 47.
puteri [66]
<h3>Answer:</h3>

40

<h3>Step-by-step explanation:</h3>

The average of a data set is the number "in the middle" of all of the numbers. This is a measurement of the center of a data set. Another word for average is mean.

How to Calculate the Average

The average or mean is calculated by adding all of the values together. Then, divide this sum by the number of data points. For example, if the sum of 5 different data points is 10, then the average would be 10/5.

Finding the Average

Now, let's find the average of this specific data set. First, add all of the data together.

  • 30+35+40+41+42+45+47 = 280

Then, count the number of terms. There are 7 different terms within this data set. So, next divide the sum by the number of terms.

  • 280/7 = 40

This means that the average of the set is 40.

Other Measurements of Center

The mean is not the only measurement of center. There are 3 common measures of center.

  • The mean is found by adding all the terms and then dividing by the number of terms.
  • Another measurement is the median is found by ordering the terms from least to greatest, and then taking whatever number is left in the middle. The median of this set is 41.
  • Finally, the mode is the term that appears the most often. Many times there can be more than one mode. This set has no real mode because all of the terms only appear once.
7 0
2 years ago
Although not so common now, consider a phone plan that does not have unlimited texting. Your base plan costs you $30 a month and
german

Answer:

The bill will be $26070.

Step-by-step explanation:

Your base plan costs you $30 a month

And each text sent or received is only 12 cents or $0.12.

Let the messages sent be = x

So, cost for messages become = 0.12x

Let total bill cost be = y

Now, total bill will comprise of monthly plan charges plus message charges.

So, equation forms:

y=30+0.12x

Now, given is that In one month 217,000 messages were sent between two brothers in Philadelphia.

So, their approximate bill will be :

y=30+0.12(217000)

=>y=30+26040

=> y = 26070

Therefore, bill will be $26070.

5 0
3 years ago
In the figure below, the radius of the larger circle is 6,8 and the radius of the smaller circle is 4.5. Which of the following
Anna [14]

A <em>circle</em> is a figure <u>bounded</u> by a <em>curved</em> side which is referred to as <em>circumference</em>. Thus the area of the <u>shaded</u> region is option D. 81.65.

A <em>circle</em> is a figure<u> bounded</u> by a <em>curved</em> side which is referred to as <u>circumference</u>. Some of its <u>parts</u> are radius, diameter, sector, arc, etc.

The area of a <u>circle</u> can be determined by the given <em>expression:</em>

Area = πr^{2}

where r is the <u>radius</u> of the circle and π = \frac{22}{7}

So, the area of the <u>shaded</u> region can be determined as:

Area of the <em>shaded</em> region = <em>area </em>of the <u>larger</u> circle - <em>area</em> of the <u>smaller</u> circle

Area of the<em> shaded </em>region = π(6.8)^{2} - π(4.5)^{2}

                                            = π (46.24 - 20.25)

                                            = \frac{22}{7} x 25.99

                                            = \frac{571.78}{7}

<u>Area</u> of the <em>shaded</em> region = 81.683

Thus the<u> appropriate</u> answer to the question is option D. 81.65.

For more clarifications on the area of a circle, visit: brainly.com/question/3747803

#SPJ1

   

6 0
2 years ago
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