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Lena [83]
2 years ago
11

Describe the set of all positive integers from 10 to 15 using the descriptive method​

Mathematics
1 answer:
True [87]2 years ago
3 0

Given:

The set of all positive integers from 10 to 15.

To find:

The given set by using the descriptive method​.

Solution:

The positive integers are 1, 2, 3, 4,... .

The positive integers from 10 to 15 are 10, 11, 12, 13, 14, 15.

So, the given set has 5 elements 10, 11, 12, 13, 14, 15.

Using the descriptive method​, the given set is defined as "The set of all positive integers greater than or equal to 10 and less than or equal to 15".

Therefore, the set of all positive integers greater than or equal to 10 and less than or equal to 15.

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Solve the following system of equations algebraically:<br> 4x - 5y = 18<br> 3x – 2y = 10
fiasKO [112]

Answer:

D

Step-by-step explanation:

Given the 2 equations

4x - 5y = 18 → (1)

3x - 2y = 10 → (2)

Multiplying (1) by 3 and (2) by - 4, then adding will eliminate the x- term

12x - 15y = 54 → (3)

- 12x + 8y = - 40 → (4)

Add (3) and (4) term by term to eliminate x, that is

- 7y = 14 ( divide both sides by - 7 )

y = - 2

Substitute y = - 2 into either of the 2 equations and solve for x

Substituting into (1)

4x - 5(- 2) = 18

4x + 10 = 18 ( subtract 10 from both sides )

4x = 8 ( divide both sides by 4 )

x = 2

solution is (2, - 2 ) → D

8 0
3 years ago
Write each decimal as a fraction or mixed number in simplest form.<br> 1 3/8
Mnenie [13.5K]

3/2

<em>Step One:</em> 1 3/8, transform the number into a improper fraction:

  1. To have a mixed number in to a improper fraction, you need to use            addition and multiplication.  For 1 3/8, We first multiply the denominator (8, also know to be the bottom number of the fraction) to the whole number (1).  8x1= 8
  2. NOTE: The original denominator (8) will be use for are improper, again playing as the denominator, we only multiply the denominator for the numerator (which is the top number of a fraction).
  3. After multiplying, we'll add are product with the numerator (3) for the process. 8+3= 12
  4. Now we have both numerator and denominator for 1 3/8, we can create the improper fraction. 12 as the numerator and 8 as the denominator. 12/8
  5. We still need to simplify the number. To that, we need the biggest whole number, or rather I call it the lowest number, that can be divide both in 12 and 8.
  6. 4 can be divide by both number so: 12/4= 3 and 8/4=2
  7. Now 3 is are simplify numerator and 2 is are simplify denominator.

8 0
3 years ago
a black mamba snake crawls along the ground at a rate of 10 miles per hour. Convert this rate to kilometers per hour.
DedPeter [7]

Answer:

16.09 kph

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A satellite is composed of 30 modular units, each of which is equipped with a set of sensors, some of which have been upgraded.
Anit [1.1K]

Answer:

\frac{1}{7}

Step-by-step explanation:

The satellite has 30 modular units.

There are equal numbers of non-upgraded sensors in each unit.

Let us assume that on the entire satellite there are x numbers of upgraded sensors.

Then as per the given condition, there are \frac{x}{5} number of non-upgraded sensors in one unit.

Therefore, the number of non-upgraded sensors on the entire satellite is \frac{30x}{5} =6x

Hence, total number of sensors in the satellite is (x+ 6x) =7x

Therefore, the required fraction of the upgraded sensors is \frac{x}{7x} =\frac{1}{7}. (Answer)

3 0
3 years ago
3. A fisherman caught 6 bluegills and 4 bass. What is the ratio of the number of bass caught to the total number of fish caught?
quester [9]
The answer is 2 to 5
3 0
2 years ago
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