The first coefficient is 2 and the last term is 6. They multiply to 2*6 = 12.
Now we must find two factors of 12 that add to 7 (the middle coefficient).
Through trial and error, you should find that:
3*4 = 12
3+4 = 7
So 3 and 4 are the numbers we're after. We'll split the 7m into 3m+4m and use the factor by grouping method as shown in the steps below.
2m^2 + 7m + 6
2m^2 + 3m + 4m + 6
(2m^2 + 3m) + (4m + 6)
m(2m + 3) + 2(2m + 3)
(m + 2)(2m + 3)
(2m + 3)(m + 2)
The order of the factors doesn't matter since something like 2*3 is the same as 3*2.
------------------------------------------------
Verifying the answer:
You can use technology like you did to check the answer, but here's one way to do it without a calculator.
(2m + 3)(m + 2)
n(m + 2) ...... let n = 2m+3
mn + 2n .... distribute
m( n ) + 2( n )
m(2m+3) + 2(2m+3) .... plug in n = 2m+3
m*2m + m*3 + 2*2m + 2*3 .... distribute
2m^2 + 3m + 4m + 6
2m^2 + 7m + 6
We arrive back at the original trinomial, so we have confirmed the answer.
there 8 books in a series. the number of pages in each book are: 173, 205, 195, 215, 219, 184, 211, and 400.
Which measure of center best describes the typical number of pages in the books in this series? a. mean b. median
What is the value of measure of center that best describes the typical number of pages in the books in this series?
Answer:225.25 or Mean
Step-by-step explanation: Put the sequence of numbers in order: 173,184,195,205,211,215,219,400
Cross of the end number each side until you have only 2 numbers:205,211
Add these numbers then divide them by 2: 205+211=416 416\2= 208
208 is the median
To find the mean is all of the numbers added together divided by the number of numbers: 173+205+195+215+219+184+211+400=1,802/8+225.25
Now compare the median:208 and the mean:225.25 to the sequence of numbers and see which one best describes the typical number of pages in the books. To do that you can subtract 173 from 400: 227
So the answer that's closest to 227 is 225.25.
I think anyway.
The mean and median of the given observation are 225.25 and 208 respectively and the value of the measure of the center would be 227 that best describes the typical number of pages in the books in this series.
What is arithmetic mean?Arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean.
The formula for the mean of a given set of data is as follows:
Mean = Sum of Observations/Total number of observations
Given the set of observations as :
173, 205, 195, 215, 219, 184, 211, and 400
Arrange the data in ascending order.
173, 184, 195, 205, 211, 215, 219, 400
Here n = 8 which is an even number
For finding the median we have to calculate the average of 205 and 211
Thus, the median is 208
When all the numbers are added up and divided by the total number of numbers, the mean is obtained:
⇒ 173 + 205 + 195 + 215 + 219 + 184 + 211 + 400
⇒ 1,802
⇒ mean = 1,802/8
⇒ mean = 225.25
In order to determine which figure accurately represents the median value of 208 to the mean value of 225.25.
To achieve it, divide 400 by 173, which equals 227.
Therefore, 225.25 is the answer that is closest to 227.
Hence, the mean and median of the given observation are 225.25 and 208 respectively and the value of the measure of the center would be 227 that best describes the typical number of pages in the books in this series.
Learn more about Arithmetic means here:
brainly.com/question/13000783
#SPJ2
Answer these questions
Answer:
62
8.8
2.7
Step-by-step explanation:
that should be right. try that out
Answer:
62,8.8,2.8
Step-by-step explanation:
What’s the expression of (9x2 - 2x + 7) + (4x2 + 7x + 2)
Answer:
35+5x
Step-by-step explanation:
Pick each bracket and solve them separately. After solving, then you add them
the first bracket= (9x2-2x+7) = 25-2x ------- eqn 1
the second bracket= (4x2+7x+2) = 10+7x ---- eqn 2
Add eqn 1 and 2
= (25-2x) + (10+7x)
Grouping like terms,
= (25+10) + (-2x+7x)
=35+5x
Find the distance between (-3, 7) and (-8, 5).
help me with this please!!!!!!
Answer:
29 square root or 5.39
Step-by-step explanation:
Answer:
5.39 units.
Step-by-step explanation:
Distance = √(-8-(-3))^2 + (5-7)^2)
= √((-5)^2 + (-2)^2)
= √(25+ 4)
= √(29)
= 5.39.
Which expression is equivalent to n2 26n 88 for all values of n?
The value of the expression n² + 26n + 88 is equivalent to negative 4 and negative 22.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The expression is n² + 26n + 88
Put that expression to get the solution
n² + 26n + 88 = 0
n² + 22n + 4n + 88 = 0
n(n + 22) + 4(n + 22) = 0
(n + 4)(n + 22) = 0
The value of n is negative 4 and negative 22.
More about the factorization link is given below.
https://brainly.com/question/6810544
1)
A group of twenty learners from Thabo secondary Vaal Gauteng, were selected
to participate in soccer tournament. The learners wanted to raise funds to help
pay for the trip, they decided to sell pens, the learn calculated that they need
R40 to start they fund raising venture the amount will be used for advertising
and other expenses the cost price of each pen was R2 each learner donated R12
for the starting up the business
4. 1) determine the total amount of money donated to start them business?
(2)
4. 2) calculate the value of A&B using the information given in the table
Show all the calculations
Number of o
10
5
25
of
15
B
Answer:
??????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????
Step-by-step explanation:
Solve the equation for x:
3x+5=20
Answer:
x = 5
Step-by-step explanation:
3x+5=20
Subtract 5 from both sides.
3x=20−5
Subtract 5 from 20 to get 15.
3x=15
Divide both sides by 3.
x= 15/3
Divide 15 by 3 to get 5.
x=5
Rewrite as a simplified fraction. 2.888... = ?
fractional number equivalent of 2.888 is
[tex] \frac{361}{125} or 2 \frac{111}{125} [/tex]Answer:
[tex]\frac{26}{9}[/tex] or [tex]2 \frac{8}{9}[/tex]
Step-by-step explanation:
Let x equal the decimal. Set up two equations such that the digits after the decimal point are identical.
10x = 28.8888...
x = 2.8888...
Subtracting the two equations, we have:
9x = 26
A city’s population is 12,800. It is predicted that the population will increase by 3% each year.
Part a: Write a function that can be used to find the city’s population after t years.
Part b: If the city’s population, p, continues to grow 3% per year, what will the approximate population be in 15 years. Round to the nearest integer.
Answer:
18,560
Step-by-step explanation:
3 percent *12800 =
(3:100)*12800 =
(3*12800):100 =
38400:100 = 384
384*15 = 5760
12800 + 5760 = 18560
if 6 people share 990 grams of cookie but each leave behind 27 grams how much grams did each person eat
Answer: 276 grams.
Step-by-step explanation:
NOCTI MATH REVIEW
all
1) if the cost of one case of fresh pineapples is $14.95 for a case of 6, and the
calculated waste factor is 15 percent, what is the actual cost of each pineapple?
Using proportions, it is found that the actual cost of each pineapple is of $2.12
What is a proportion?A proportion is a fraction of a total amount.
In this problem, considering that the waste factor is of 15%, the total price should be of:
P = 0.85 x $14.95 = $12.7075.
For a case of 6 pineapples, hence the price of each is given by:
Pp = $12.7075/6 = $2.12.
More can be learned about proportions at https://brainly.com/question/24372153
The actual cost of each pineapple with a waste factor of 15% is $12.71
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The cost of one case of fresh pineapples is $14.95 and the calculated waste factor is 15 percent. Hence:
Actual cost = 14.95 - 15% of 14.95 = $12.71
The actual cost of each pineapple with a waste factor of 15% is $12.71
Find out more on equation at: https://brainly.com/question/2972832
base=?
height=7
volume=?
Answer:
The area of the base is 24 [tex]cm^{2}[/tex]
The volume is 168 [tex]cm^{3}[/tex]
Step-by-step explanation:
The area of the base is found by solving [tex]0.5*6*8[/tex], because that is the formula for the area of a triangle.
The volume is found by multiplying the area of the base by the height: [tex]24*7=168[/tex]
I NEED THIS ASAP PLEASE
Answer:
21
Step-by-step explanation:
Selma deposited a paycheck for $378.42. she’ll use the check register to record her transaction. what will be her new balance? a checking account has a balance of 2636 dollars and 41 cents. $2,257.99 $2,337.06 $3,014.83 $3,057.31
The new account balance by deposit of $378.42 will be $3014.83.
What is addition?When anything is increased in the already existing quantity then it is termed the addition.
Now it is given in the question that
Selma deposited an amount of = $378.42
Account balance =$2636.41
Now the new balance will be = New amount + Previous balance
[tex]\rm New\ amount = 2636.41+378.42=3014.83[/tex]
Thus new account balance by deposit of $378.42 will be $3014.83.
To know more about addition follow
https://brainly.com/question/24536701
Answer:
Step-by-step explanation:
c
The perimeter of a rectangular garage
is 46 meters. The garage is 10 meters
wide. How long is it?
meters
Divide area by width:
46/10 = 4.6 meters
Answer: 4.6 meters
Answer:
The rectangular garage is 13m long.
Step-by-step explanation:
[tex]\sf\large{\star Given:-}[/tex]
Perimeter of rectangular garage = [tex]\sf\pink{46 \:m.}[/tex]Width of the rectangular garage = [tex]\sf\pink{10\:m.}[/tex][tex]\sf\large{\star To\: find:-}[/tex]
How long is the garage (length of garage).[tex]\sf\large{\star Solution:-}[/tex]
[tex]\rightarrow[/tex]As we know that,
Perimeter of rectangle = [tex]\sf\blue{2(length+width)}[/tex]
So, by putting the value of perimeter and width in this formula we get,
[tex]\rightarrow[/tex] [tex]\sf{2(l+10)\:=\: 46}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{2l+20\:=\: 46}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{2l\:=\: 46-20}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{2l\:=\: 26}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{l \:=\: \frac{26}{2}}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{l\:=\: 13m.}[/tex]
Therefore, length of the rectangular garage = [tex]\sf\purple{=\: 13m.}[/tex]
_______________________________
Hope it helps you:)
Helppp.
First, complete the sentence to show how the figure can be decomposed into triangles and rectangles with the fewest number of pieces.
Then find the area of the divisions.
The figure can be divided into a triangle and a rectangle.
The area of a triangle is 10 sq inches.
The area of a rectangle is 80 sq inches.
The total area of the figure is 90 sq inches.
What are the area and perimeter of a rectangle?The area of a rectangle is the product of its length and width.
The perimeter of a rectangle is the sum of the lengths of all the sides.
The figure can be divided into a triangle and a rectangle.
The height of the triangle is 2 inches and the base is 10 inches.
We know the area of a triangle is (1/2)×base×heiht.
∴ Area = (1/2)×10×2 sq inches.
Area = 10 sq inches.
We know the area of a rectangle is length×width.
∴ Area = (10×8) sq inches.
Area = 80 sq inches.
The total area of the figure is (10 + 80) sq inches = 90 sq inches.
learn more about rectangles here :
https://brainly.com/question/14207995
#SPJ6
Write a quadratic function f whose zeros are -3
Answer:
x2 - x - 12 is the Quadratic Polynomial Whose zeroes are -3 and 4.
base?
height?
Volume?
Answer: i'm pretty sure the base is 14cm, the height is 7cm, and the volume is 49 cm2
Step-by-step explanation:
for the base, i just added up 6cm and 8cm to get 14cm, the height was already 7cm, and for the volume, its (b*h)/2, since its a triangular 3d object, so (7*14)/2=49cm2
Help please!!! 100 points
Answer:
I think the file of the picture is corrupted because it is not loading
Step-by-step explanation:
Answer: A
Step-by-step explanation:
P
E
M
A
S
A bakery sold a total of 300 cupcakes in a day, and 171 of them were mocha flavored. What percentage of cupcakes sold that day were mocha flavored
The percentage of cupcakes sold that day were mocha flavoured will be 57%.
What is the percentage?The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.
Given that:-
A bakery sold a total of 300 cupcakes in a day, and 171 of them were mocha flavoured.The percentage will be calculated as:-
P = 171 / 300
P = 0.57
P = 0.57 x 100
P = 57%
Therefore the percentage of cupcakes sold that day were mocha flavoured will be 57%.
To know more about percentages follow
https://brainly.com/question/24304697
#SPJ2
I need help please!!!!!
Answer:
330 ft^2
Step-by-step explanation:
See attached image
If I have 30 blue balls and 10 red balls and 50 green balls How many balls to I have in all? 30 points.
Answer:
90 balls
Step-by-step explanation:
simply add them
Answer: 90 balls
Step-by-step explanation:
30 + 10 = 40
40 + 50 = 90.
What is the area of the patio if the yard is 12 feet on each side?
How do I do this?
144 feet squared
Step-by-step explanation:Squares are 4 sided shapes that have an equal length on each side.
Area Formula
The area of a square (or rectangle) is [tex]l*w[/tex], where [tex]l[/tex] is the length and [tex]w[/tex] is the width. Due to the fact that squares have four equal sides, the formula can be rewritten as [tex]l^2[/tex].
Solving For Area
Plug the length value into the formula.
[tex]12^2=144[/tex]Then, add the units to the answer. Because the length is multiplied by itself and the original unit is feet, the units are feet squared.
Graph a rectangle with an area of 12 square units. State the lengths of each of the sides. Write your answer LxW (length of one side X length of the other side) please help
A rectangle with area of 12 square units would have sides of length 4 units and 3 units. Area would therefore be 4 x 5.
What are the side lengths of this rectangle?A rectangle must be such that one side is longer than the other side.
The area of a rectangle is found as:
= Length x Width
As the area is 12, the length and width have to be numbers that when multiplied, will give you 12.
The factors of 12 which allow this to happen are:
= 1, 2, 3, 4, 6, 12
From here you can use 3 and 4.
Find out more on the area of a rectangle at https://brainly.com/question/2607596.
om
9) A dog bowl has a
diameter of 17 inches. Find
the radius, area, and
circumference of the dog
bowl.
D in
Radius:
Area:
Cirum foron
Answer:
Radius: 8.5 inches
Area ≈ 226.98
Circumference ≈ 53.42
Step-by-step explanation:
2πr = formula for circumference of a circle
πr² = formula for area of a circle
radius of a circle = (1/2)d
What is the variable in the following expression: 7x + 8
A. 7
B. X
C. 8
Answer:
B. X
Step-by-step explanation:
The variable is the unknown term.
This is represented by a letter.
In this case, the variable is "x".
So the answer is B.
Ms. Tranquille is making a scale drawing of a famous building. In reality, the building is 108 meters tall. In her drawing, the building is
[tex]4\frac{1}{2} [/tex]
inches tall. How wide should the scale drawing be if the actual width is 48 meters?
PLEASE HELP I WILL MARK YOU BRAINIEST
please help me answer my question?
Answer:
Answer will be: $123.25
HELPP ME ITS BEEN SO LONG HELP PLEASEEE HELP PLEASEE HELPP Stevie needed twine for the gifts she was wrapping for a family party. The lengths of Stevie’s twine are shown on the line plot below. How many feet of twine does Stevie have total?
Answer:
Your answer would be:
57.75 or 57 3/4
(I will show how many of each length of twine that is on the graph)
Point 2 1/4:
2
Point 2 3/4:
4
Point 3:
1
Point 3 1/2:
2
Point 3 3/4:
3
Point 4:
1
Point 4 1/4:
4
We can show how much length in total Stevie used with the following equation:
(2 1/4 x 2) + (2 3/4 x 4) + ( 3 x 1 ) + ( 3 1/2 x 2 ) + (3 3/4 x 3 ) + (4 x 1 ) + (4 1/4 x 4)
Each smaller equation in paraphrases shows how much of each length of twine at each point with x's on the number line. Altogether it would equal 57.75 or 57 3/4.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
I know the measure of angle m is 100 degrees. I did this multiple times and J and L are not 80 degrees so what are the measures of angles L and J?
Answer:
[tex]m\angle L = 100^{\circ}[/tex].
[tex]m\angle J = 80^{\circ}[/tex].
[tex]m\angle M = 100^{\circ}[/tex].
Step-by-step explanation:
Since segment [tex]JM[/tex] is parallel to segment [tex]KL[/tex], quadrilateral [tex]JKLM[/tex] is a trapezoid.
Segment [tex]JK[/tex] and segment [tex]LM[/tex] (the two legs of this trapezoid) are equal in length. Hence, trapezoid [tex]JKLM[/tex] would be an isoscele trapezoid. By symmetry, [tex]m\angle L = m \angle K = 100^{\circ}[/tex].
Line [tex]JK[/tex] traverses line [tex]JM[/tex] and line [tex]KL[/tex]. [tex]\angle J[/tex] and [tex]\angle K[/tex] are a pair of consecutive interior angles as they are both between [tex]JM\![/tex] and [tex]KL\![/tex] and are on the same side of the traversal, [tex]JK\![/tex].
Since line [tex]JM[/tex] is parallel to line [tex]KL[/tex], any pair of consecutive interior angles between these two lines would add up to [tex]180^{\circ}[/tex] (supplementary angles.) Thus, [tex]\angle J[/tex] and [tex]\angle K[/tex] are supplementary angles; [tex]m\angle J + m\angle K = 180^{\circ}[/tex].
Since [tex]m\angle K = 100^{\circ}[/tex], [tex]m\angle J = 180^{\circ} - m\angle K = 180^{\circ} - 100^{\circ} = 80^{\circ}[/tex].