What is the value of x in diagram

To calculate 7 x 12 using distributive property and partial products, decompose 12 into 10 and 2, then multiply 7 by each part and add the results. The sum of 70 and 14 gives you 84, which is the product of 7 and 12.

To find the product of 7 x 12 using the distributive property and partial products, we first break down the number 12 into 10 + 2. Then we use the distributive property to multiply 7 by each of these parts separately:

Now, we add these partial products together to find the total:

70 + 14 = 84

Therefore, 7 x 12 equals 84 when we use distributive property and partial products.

it started at -10.5 then rose 5.2

 -10.5 +5.2 = -5.3

then fell 3.6

-5.3 - 3.6 = -8.9

 so it was -8.9 degrees Celcius

The mean, median, and mode are measures of central tendency. The median value is based on the median , while the arithmetic average is based on the mean. The most frequently occurring value in a data set is based on the mode .

For example, if we have the following data set: {4, 18, 18, 19, 19, 19, 19, 19, 20, 20}, the mean is 17.5 (170/10), the median is 19, and the mode is 19.

Answer: The correct option is option third, i.e.,25 cm square.

Explanation:

From the given figure it is easily noticed that the shaded region contains two congruent parallelograms and 4 congruent triangles.

Area of a parallelogram is the product of base and height.

[tex]\text{Area of a parallelogram}=4\times 3=12[/tex]

The area of a parallelogram is 12 cm square.

Area of a triangle is half of the product of base and height.

[tex]\text{Area of a triangle}=\frac{1}{2}\times 2\times 0.25=0.25[/tex]

The area of a triangle is 0.25 cm square.

Since there are 2 parallelograms and 4 triangles in the figure, therefore the total area is,

[tex]A=2(12)+4(0.25)[/tex]

[tex]A=24+1=25[/tex]

Therefore, the area of figure is 25 cm square and the third option is correct.

Answer:

25 units²

Step-by-step explanation:

Count each whole box as one cm and count the ones that aren't whole as half a cm and you get 25 units²

Answer:9 Groups

Step-by-step explanation:

Given

There are 126 boys and 135 girls

The greatest no of groups that could be form is determine by factorizing 126 and 135

[tex]126=2\times 7\times 9[/tex]

[tex]135=3\times 5\times 9[/tex]

both contains 9 as highest multiplying factor thus 9 groups can be formed.

Out of given expressions, only expression A results in a positive value. Expression B, C, and D all result in a negative value.

To determine which expression results in a positive value, evaluate each:

So, "only expression A results in a positive value".

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Using incentive spirometry is an effective intervention to prevent atelectasis in a postsurgical client.

To prevent atelectasis in a postsurgical client, the nurse can implement the following intervention:

Using the incentive spirometer, the client is instructed to exhale normally, place their lips around the mouthpiece, and take a slow, deep breath. They should hold the breath for a few seconds before exhaling and repeating the process multiple times throughout the day.

This intervention is effective because it encourages deep breathing and lung expansion, preventing the collapse of alveoli in the lungs and promoting better gas exchange.

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To prevent atelectasis in a postsurgical client, the nurse can implement interventions such as deep breathing exercises, mobilization and ambulation, and pain medication.

To prevent atelectasis in a postsurgical client, the nurse can implement several interventions:

These interventions help prevent the collapse of alveoli and promote proper lung function after surgery.

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Final answer:

By applying the Pythagorean theorem, it's determined that the set of line segments that could create a right triangle is option b. (15, 36, 39), as it's the only set that satisfies the equation a² + b² = c².

Explanation:

The question asks which set of line segments could create a right triangle. To solve this, we apply the Pythagorean theorem, which states for a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be written as a² + b² = c², where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

Therefore, the set of line segments that could create a right triangle is option b. (15, 36, 39).

Answer:

  b.  15, 36, 39

Step-by-step explanation:

You want the set of line segments that could form a right triangle.

A set of 3 integers is a Pythagorean triple if it satisfies the Pythagorean theorem:

  a² +b² = c²

The most common primitive triples are {3, 4, 5}, {5, 12, 13}. If two of three numbers match these, but the third does not, a right triangle cannot be formed.

We note that {3, 4, 5} has the smallest first number of any Pythagorean triple, and it is the only triple that is an arithmetic sequence.

We can reduce the given numbers to their lowest form to see if we can determine whether any is a Pythagorean triple:

  a. 15 : 30 : 35 = 3 : 6 : 7 . . . . . not a right triangle

  b. 15 : 36 : 39 = 5 : 12 : 13 . . . . forms a right triangle

  c. 15 : 20 : 29 = 3 : 4 : 5.8 . . . . . not a right triangle

  d. 5 : 15 : 30 = 1 : 3 : 6 . . . . not a triangle

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Additional comment

The attachment shows the values of a² +b² -c² for the different answer choices. That expression will evaluate to 0 if the numbers form a right triangle. If the sum is negative, any triangle formed would be obtuse. As we noted above, choice D values do not even form a triangle.

Other Pythagorean triples commonly seen in algebra problems are ...

  {7, 24, 25}, {8, 15, 17}, {9, 40, 41}, {20, 21, 29}

You may also notice that when the two largest numbers differ by 1, the smallest is the root of their sum: 3 = √(4+5), 5 = √(12+13), 7 = √(24+25), and so on. This is another way we can tell {3, 6, 7} is not a Pythagorean triple: 3 ≠ √(6+7).

The clown bought a total of 70 heart-shaped balloons. This is found by multiplying the number of bags (5) by the number of balloons in each bag (14).

The question involves a basic multiplication operation in mathematics. The clown bought 5 bags of heart-shaped balloons and each bag contains 14 balloons. To find the total number of balloons, you multiply the number of bags (5) by the number of balloons in each bag (14). This is done as follows:

So, the clown bought a total of 70 heart-shaped balloons.

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Answer: 74:111

Step-by-step explanation: To find 185 in ratio 2:3:

First, add the ratios: 2 + 3 = 5

Second, each ratio will be put over the total: [tex]\frac{2}{5}[/tex] and [tex]\frac{3}{5}[/tex]

Third, multiply the number by the fraction of each proportion:

185 . [tex]\frac{2}{5}[/tex] = 74

185 . [tex]\frac{3}{5}[/tex] = 111

So, 185 in ration 2:3 gives ratio 74:111.

Lucy and 3 friends = 4 people

 30 ounces /  4 people = 7.5 ounces each