The expression 12x+15x-11x can be combined using the associative property of addition.
Explanation:The expression 12x+15x-11x can be combined by using the associative property of addition.
First, combine the like terms which have the same variable, in this case 'x'. Add the coefficients of the like terms, which are 12, 15, and -11. 12x + 15x - 11x = (12 + 15 - 11)x = 16x.Therefore, the simplified expression is 16x. The associative property of addition allows us to group the terms in any order and still get the same result.
Final answer:
The expression 12x + 15x - 11x can be simplified due to the associative property of addition, enabling terms to be grouped and combined to yield a simplified form of 16x. The correct option is not provided in the choices, but would be the associative property, not listed in the student's options.
Explanation:
The expression 12x + 15x - 11x can be simplified by combining like terms, which is possible because of the associative property of addition. This property allows us to group numbers in an addition expression in any way we choose without changing the result.
Therefore, using the associative property, we can group and combine the terms with 'x' to get (12x + 15x) - 11x, which simplifies to 27x - 11x, and then further to 16x.
The correct answer to the question is Option A: associative property of addition, though it is important to note that this option was not listed in the initial question provided. The commutative property allows us to change the order of the terms without changing the result, but does not directly apply to the combination of like terms.
Nevertheless, both the associative and commutative properties are used when combining like terms in algebra.
Help please
Solve for r.
s=2πrh
Mark the statements that are true.
A. An angle that measures is a reflex angle.
B. An angle that measures 65 is an acute angle.
C. An acute angle measures less than .
D. An angle that measures 300 is an obtuse angle.
The correct options are B. An angle that measures 65 is an acute angle. and C. An acute angle measures less than 90 degrees.
To determine the truth of each statement, let's analyze each option:
A. An angle that measures 180 degrees is a reflex angle.
This statement is false. An angle that measures exactly 180 degrees is a straight angle, not a reflex angle. A reflex angle is greater than 180 degrees but less than 360 degrees.
B. An angle that measures 65 degrees is an acute angle.
This statement is true. An acute angle is an angle that measures less than 90 degrees. Since 65 degrees is less than 90 degrees, it is indeed an acute angle.
C. An acute angle measures less than 90 degrees.
This statement is true. By definition, an acute angle is any angle whose measure is less than 90 degrees.
D. An angle that measures 300 degrees is an obtuse angle.
This statement is false. An obtuse angle is an angle that measures more than 90 degrees but less than 180 degrees. Since 300 degrees is greater than 180 degrees, it is not an obtuse angle but rather a reflex angle.
If six plus two what does it equal
please help. !!!!!!!!
Which of these ratios is NOT in simplest form? 12/5 8/5 7/10 9/15
is it possible to draw three lines in two planes such that all three lines are skew?
Answer with explanation:
→Two lines in three dimensional plane are said to be Skew if they are neither parallel nor Intersecting.
→Skew lines can be drawn in three dimensional plane only.
→Drawn two skew lines in a Plane , and then drawn another line in a plane and found that , they are skew.
⇒Yes, it is possible to draw three lines in two planes such that all three lines are skew.
Skew lines are non-coplanar lines that are not parallel, and they do not intersect.
In a 2D plane, it is not possible to draw three skew linesIn a 3D plane, it is possible to draw three skew linesThe question does not state the type of plane. So, I will answer this question in 2 ways.
(a) 2D plane
Lines in 2D planes can only be drawn in a flat direction.
This means that, when three lines are drawn in the two planes, one of the following would happen.
The three lines would intersectTwo lines would intersectSee attachment for illustration
So, 3 lines in a 2D plane cannot be skewed lines
(b) 3D plane
Lines in 3D planes can only be drawn in several directions.
The above statement imply that:
Several lines can be drawn where none of the lines would be parallel and none of the lines would intersect.
This means that, when three lines are drawn in the two planes, one of the following would happen.
The three lines would intersectTwo lines would intersectNone of the lines would intersectThe third highlight means that:
It is possible to have skew lines in a 3D plane
Read more about skewed lines at:
https://brainly.com/question/1995934
He length of a rectangle is six times its width. if the perimeter of the rectangle is 70 in , find its area.
For a craft project, two equilateral triangles are taped together to create a quadrilateral
Find the lengths of the missing sides if side a is opposite angle a, side b is opposite angle b, and side c is the hypotenuse.
Julie needs 3 lengths of string that are each 6 inches long. Marlene needs 7 lengths of string that are each 8 inches long.
How much string do the girls need altogether?
in.
Hurry When solving a system of equations, Jared found y = x 10 for one equation and substituted x 10 for y in the other equation. Nicole found x = y – 10 for the same equation and substituted y – 10 for x in the other equation. Who is correct? Explain.
Jared and Nicole both have found the correct value and will get the same solution to the system of equations.
Given information:
Jared found that [tex]y = \dfrac{x} {10}[/tex] for one equation and substituted [tex]\dfrac{x}{10}[/tex] for y in the other equation.
Nicole found [tex]x = y -10[/tex] for the one equation and substituted [tex]y -10[/tex] for x in the other equation.
So, there are two equations. Based on the question, the equation should be,
[tex]x=10y[/tex] and [tex]y-x=10[/tex].
Now, Jared and Nicole have found the value of one variable from one equation and have put it in the other equation.
This method is the substitution method which is used to find the solution of the system of equations.
Therefore, Jared and Nicole both have found the correct value and will get the same solution to the system of equations.
For more details, refer to the link:
https://brainly.com/question/14619835
Solve 12g=12(2/3g-1)+11
A total of 820 tickets were sold for the school play. they were either adult tickets or student tickets. there were 70 more student tickets sold than adult tickets. how many adult tickets were sold?
By setting up a system of equations, we find that 375 adult tickets were sold for the school play.
To solve this problem, we need to set up a system of equations using the information provided:
There are only two types of tickets: adult tickets and student tickets.A total of 820 tickets were sold.There were 70 more student tickets sold than adult tickets.Let's define the following variables:
A for the number of adult tickets.S for the number of student tickets.According to the problem:
A + S = 820 (since the total number of tickets is 820)S = A + 70 (since there are 70 more student tickets than adult tickets)Now we substitute the second equation into the first:
A + (A + 70) = 8202A + 70 = 8202A = 750A = 375So, 375 adult tickets were sold.
For the given function, find the vertical and horizontal asymptote(s) (if there are any). f(x) = the quantity x squared plus three divided by the quantity x squared minus nine
A one celled organism measures 32 millimeters in a length in a photograph. If the photo has been enlarged by a factor of 100, what is the actual length of the organism? Show your work
Final answer:
The actual length of the organism is 0.32 millimeters, which is obtained by dividing the photograph length (32 mm) by the magnification factor (100).
Explanation:
To determine the actual length of the one-celled organism when the photograph has been enlarged by a factor of 100, we use the formula:
Actual length = Photograph length ÷ Magnification factor
Substituting the given values:
Actual length = 32 mm ÷ 100
Actual length = 0.32 mm
This calculation shows that the actual length of the organism is 0.32 millimeters, which is equivalent to 320 micrometers (320 µm). It's interesting to note that this is well within the size range for many microorganisms, which may require magnification to be seen clearly, such as with a microscope.
What is the measure of an angle if the measure of its supplement is 39 degrees more than twice the measure of its complement?
Measure of angle is equals to 39degrees as per given conditions of supplement and complement angles.
What is angle?" Angle is defined as when two rays meet at one endpoint known as vertex."
According to the question,
'x' represents the measure of an angle
Measure of its supplement angle = 180 - x
Measure of its complement angle= 90 - x
As per given condition of angle we get,
[tex]180 - x = 2(90 - x) +39\\\\\implies 180-x= 180 -2x +39\\\\\implies 2x-x = 39\\\\\implies x=39degrees[/tex]
Hence, measure of angle is equals to 39degrees as per given conditions of supplement and complement angles.
Learn more about angle here
https://brainly.com/question/13954458
#SPJ3
If chungs go kart can travel 48 miles on 1 gallon of gas,how far can his go kart travel with 1.15 gallons of gas?
Tape diagram to subtract 33-19
To subtract 19 from 33 using a tape diagram, draw a rectangle labeled 33, mark off a section labeled 19, and the unshaded difference represents the result, which is 14.
To create a tape diagram to show the subtraction of 33-19, we start by drawing a long rectangle to represent the number 33. We then mark off the length that represents the number 19 on the same tape, indicating the part we want to subtract. Lastly, the remaining part of the tape diagram represents the difference between the two numbers.
Draw a rectangle and label it 33.Mark a section of the rectangle and label it 19.Shade in or distinguish the remaining part of the rectangle; this is the result of 33 minus 19.See the unshaded part, which represents the difference, and count if necessary to find that it equals 14.The final result is the length of the unshaded part of the tape diagram, which shows the difference when you subtract 19 from 33.
y + 3 = –y + 9 solve
The coordinates of the vertices of quadrilateral JKLM are J(-3,2), K(4,-1), L(2,-5) and M(-5,-2).
Find the slope of each side of the quadrilateral and determine if the quadrilateral is a parallelogram.
HOW many times can times 6 go into 59
Nathan and Steven stacked boxes on a shelf. Nathan lifted 13 boxes and Steven lifted 15 boxes. The boxes that Nathan lifted each weighed 12 lb more than the boxes Steven lifted.
Let s represent the weight of the boxes that Steven lifted.
Which expression represents the total number of pounds Nathan lifted?
s + 12
12(s+13)
15(s+12)
13(s+12)
Answer:
13(s+12) is your answer
Step-by-step explanation:
Ruchi measured the area of her kitchen as
Answer:
She is incorrect because 2.81 × 10^4 is around 30,000 so the units must be smaller than feet. She most likely measured in inches.
HELP URGENT NEED TO PASS :(((((
A stop sign is a regular octagon formed by cutting triangles off the corners of a square. if we have a square with sides of length square root 2, what is the side length of the resulting octagon
The side length of the resulting octagon is 2√2.
Explanation:A stop sign is a regular octagon formed by cutting triangles off the corners of a square. To find the side length of the resulting octagon, we can use the Pythagorean theorem. Since the square has sides of length √2, its diagonal can be found by multiplying its side length by √2. This gives us a diagonal length of 2√2. The diagonal of each triangle cut off the corners of the square will be the side length of the resulting octagon. So, the side length of the octagon is 2√2.
A histogram can help you make predictions about a set of data. True False
The sum of two numbers is 35 . the smaller number is 19 less than the larger number. what are the numbers?
Terrance bought 3 markers. his sister bought 5 markers. terrance and his sister spent a total of $16 on the markers. what was the price of each marker?
find the difference without using a calculator 201-72.35
Can you help me solve this proof please?