The equation 5.5 - x = -4.5 - x has no solution. After cancelling out the variable x, we are left with 5.5 = -4.5, which is a contradiction.
Explanation:To solve the equation 5.5 - x = -4.5 - x, we first notice that the variable x is present on both sides of the equation. We can simply subtract or add x to both sides to cancel it out. This will give us an equation without variables:
5.5 - x + x = -4.5 - x + x
5.5 = -4.5
This equation suggests that 5.5 is equal to -4.5, which is not true. Therefore, we can conclude that there is no solution to the equation since the two sides of the equation do not balance.
Moreover, this type of equation is an example of a contradiction, meaning that it presents a statement that is inherently false regardless of the value of x. As there is no value of x that can make the equation true, we say that the equation has no solution.
Final answer:
The equation 5.5 - x = -4.5 - x simplifies to 5.5 = -4.5 when the x terms are cancelled out. Since 5.5 does not equal -4.5, the equation has no solutions.
Explanation:
To solve the equation 5.5 - x = -4.5 - x, we can first try to simplify it by adding or subtracting the same value from both sides. This method is based on the principle that whatever you do to one side of the equation, you must do to the other to maintain balance.
In this case, if we add x to both sides of the equation, the x terms will cancel out on both sides, which leaves us with 5.5 = -4.5. Here, we notice that both sides of the equation represent constant values and no longer contain the variable x.
Therefore, since 5.5 and -4.5 are not equal, we can conclude that there is no value of x that can satisfy this equation. This equation is a contradiction, which means there are no solutions.
Help me please Estimate 258+565
What is 49.2532 to 1 decimal place
the second number to the right of the decimal point is 5 so you need to round the 2 up to 3
so the number becomes 49.3
1 2 3 4 5 6 7 8 9 10
TIME REMAINING
48:54
What number should be added to both sides of the equation to complete the square?
x2 + 3x = 6
3
62
2.25
Explanation:Consider the square ...
... (x+a)² = x² +2ax +a²
The constant term (a²) is the square of half the x-coefficient: a² = (2a/2)².
The x-coefficient in your expression is 3. The square of half that is ...
... (3/2)² = 9/4 = 2.25
Adding 2.25 to both sides gives ...
... x² +3x + 2.25 = 6 + 2.25
... (x +1.5)² = 8.25 . . . . completed square
(3/2)^2
I believe it is (3/2)^2 because I tried working it out and got something like it. I did get an answer of x = ±[tex]\sqrt{33}[/tex] over 2.
Most sources appear to give 2.25, which is equal to 3/2 squared.
Attached some work.
Sample of 3 items is selected at random from a box containing 20 items of which 4 aredefective. find the expected number of defective items in the sample.
Expression for the following phrase,"an hourly wageof $13.50 plus $75 bounes
What is the equation of the horizontal line through (-7,-3)
Which of the following is a counterexample to "the sum of two numbers is always greater than either of the numbers"?
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Which expression has a positive value A.(-5)(-9) B.2-4 C.12/(-4) D. -3+(-7)
Out of given expressions, only expression A results in a positive value. Expression B, C, and D all result in a negative value.
Explanation:To determine which expression results in a positive value, evaluate each:
A. (-5)(-9): Here, a negative times a negative results in a positive value, so this equals 45.B. 2-4: This equals -2, which is not a positive value.C. 12/(-4): This equals -3, which is also not a positive value.D. -3+(-7): This equals -10, which is not a positive value.
So, "only expression A results in a positive value".
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Can someone help me with these two questions?
Use distributive property and partial products to find 7 x 12
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:
7 x 10 = 707 x 2 = 14Now, 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.
estimating products of fractions how do you figure 3/8 × 15
10x-5y=25 solve for y
The nurse develops a plan to prevent atelectasis in a postsurgical client. which intervention will be effective?
Using incentive spirometry is an effective intervention to prevent atelectasis in a postsurgical client.
Explanation:To prevent atelectasis in a postsurgical client, the nurse can implement the following intervention:
Incentive spirometry: This technique involves deep breathing exercises using a device called an incentive spirometer. It helps to expand the lungs, improve lung volumes, and prevent atelectasis.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.
Explanation:To prevent atelectasis in a postsurgical client, the nurse can implement several interventions:
Encouraging deep breathing exercises to expand the lungs.Assisting with mobilization and ambulation to improve lung expansion.Administering pain medication to ensure the client can take deep breaths without discomfort.These interventions help prevent the collapse of alveoli and promote proper lung function after surgery.
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As part of a school-wide fundraiser, the entire 8th grade class of a middle school is asked to split into groups. Each group must have the same number of boys and the same number of girls. If there are 126 boys and 135 girls in the 8th grade, what is the greatest number of groups they could form?
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.
Christopher made 3 1/4 dozen cupcakes. He added vanilla icing to 1/3 of the cupcakes and added chocolate icing to the rest. How many cupcakes, in dozens, have chocolate icing?
Lucy’s mom gave Lucy and her 3 friends an equal amount of juice from the 30 ounces she had left.
How much juice did each person receive?
Choose all answers that are correct.
Lucy and 3 friends = 4 people
30 ounces / 4 people = 7.5 ounces each
What is the trigonometric derivative of Y=2sinx-tanx
At sunrise, the temperature was –10.5°C. During the day, the temperature rose 5.2°C and then fell 3.6°C. What was the final temperature?
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
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The mean, median, and mode are measures of _________.
The ___________ is based on the median.
The ___________ is based on the mean.
The ____________ is based on the mean
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 .
The mean, median, and mode are measures of central tendency. These are statistical tools used to describe the center of a set of data.The median is based on the median. It is defined as the middle value in a data set when it is ordered from lowest to highest. If there is an even number of observations, the median is the average of the two middle numbers.The mean is based on the mean. The mean is the arithmetic average of a data set and is calculated by adding up all the individual values and then dividing by the number of values.The mode is also a measure of central tendency and is the value that appears most frequently in a data set.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.
Find the fractional notation for the ratio 5 to 9
Each small square on the grid is 1 cm².
Which estimate best describes the area of this figure?
15 cm²
20 cm²
25 cm²
35 cm²
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
what is 3/4 ÷ -2 3/4
The clown Also bought 5 bags of heart shaped Balloons with 14 Balloons in each Bag
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).
Explanation:
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:
Identify the numbers in the question: 5 bags, 14 balloons in each. Perform the multiplication: 5 (bags) x 14 (balloons in each bag) = 70 balloons.So, the clown bought a total of 70 heart-shaped balloons.
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divide 28 cans of soda into two groups so the ratio is 3 to 4
Differentiate: x√(x+4)
In a certain town, the wind speed, x, in km/h on a certain day is described by two statements: If 2 times the wind speed is increased by 2, the wind speed is still less than 46 km/h. Twice the wind speed minus 27 is greater than 11 km/h. Part A: Create a compound inequality to represent the wind speed range. (3 points) Part B: Can the wind speed in this town be 20 km/h? Justify your answer by solving the inequalities in Part A. (3 points) Part C: The average wind speed in another town is 23 km/h, but the actual wind speed is within 4 km/h of the average. Write and solve an inequality to find the range of wind speed in this town.
how many solutions are in 4x + 8 = 2x + 7 + 2x - 20
Create three different drawings showing a number of rectangles and circles in which the ratio of rectangles to circles is 3:1
To finance her community college education, Sarah takes out a loan for $3700. After a year Sarah decides to pay off the interest, which is 6% of $3700. How much will she pay?