Answer:
Step-by-step explanation:
2a^2b + 6ab^2
take common
2 can be taken common because there is 2in first term and there is 6 in second term and 2 can exactly divide 6 .there is a*a in first term and only a in second term so u can take a as common.There is only b in first term and b*b in second term so take u can take b as common.
total we can take
2ab as common.So,
2ab(a+3b)
therefore 2ab(a+3b) is the required answer.
The required factorization is 2ab(a+3b).
What is factorization?Factorization in mathematics is the process of dividing a large number into smaller ones that, when multiplied together, give you the original number. Factorization is the process of dividing a number into its components or divisors.
Expanding brackets in reverse is a procedure known as factorizing.
Fully factorizing an equation entails putting it in brackets by eliminating the components with the highest common denominator.
Finding the highest common factor between all the terms in the phrase is the easiest technique to factorize.
We have, 2a²b + 6ab²
Here,
we have the highest common factor 2ab,
So, 2ab (a + 3b)
Therefore, 2ab(a+3b) is the required factorization.
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The school that Mark attends is selling tickets to a spring musical. On the first day
of ticket sales, the school sold 3 adult tickets and 8 student tickets for a total of $60.
The school took in $88 on the second day by selling 10 adult tickets and 8 student
tickets. What is the price of each adult ticket and child ticket?
Adult: $
Student: $
Answer:
Adult=4, Student=6
Step-by-step explanation:
a=adult, s=student
3a+8s=60 equation 1
10a+8s=88 equation 2
-3a-8s=-60 multiply equation 1 by -1
7a = 28 add above 2 equations
a=4
solve for s by inserting a value into either equation
3a+8s=60
3(4)+8s=60
12+8s=60
8s=48
s=6
Write equation for the line that is parallel to the x axis and passing through (3,2)
Answer:
y = 2
Step-by-step explanation:
horizontal lines are parallel to the x-axis
The horizontal line through (3, 2) is
y = 2
Factor the polynomial 3X² + 5X - 2.
Answer:
(x+2)(3x-1)
Step-by-step explanation:
3x^2 + 5x -2
we need two numbers which gives 6 when multiplied and 5 when subtracted.
so the numbers are 6 and 1 because 6*1=6 and 6-1 =5.S0,
3x^2 + (6-1)x -2
3x^2 +6x -x -2
take common from first two terms and from third and fourth term
3x(x+2) -1(x+2)
take (x+2) as common
(x+2)(3x*1 -1*1)
(x+2)(3x-1)
Line segment AB has endpoints A(6, 4) and B(2, 6). Find the coordinates of the point that divides the line segment directed from A to B in the ratio of 1:3.
Answer:
(3, 5.5)
Step-by-step explanation:
Given the line segment AB with endpoints A(6, 4) and B(2, 6). If the coordinates of the point divide the line segment directed from A to B in the ratio of 1:3, then;
M(X, Y) = {(ax1+bx2)/a+b, ay1+by2/a+b}
X = ax1+bx2/a+b
X = 1(6) + 3(2)/1+3
X = 6+6/4
X = 12/4
X = 3
Similarly;
Y = ay1+by2/a+b
Y = 1(4)+3(6)/1+3
Y = 4+18/4
Y = 22/4
Y = 5.5
Hence the required coordinate is (3, 5.5)
What the measurements for b ? * just different problems*
Pls and thank you which one need to be used for these triangles
Answer:
sas ofc
side angle side
Step-by-step explanation:
Find the missing side
Answer:
12.94811641 =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj/ hyp
cos 44 = x /18
18 cos 44 =x
12.94811641 =x
Answer:
12.9
Step-by-step explanation:
cos(44) = x/18
x = cos(44) * 18
x = 12.9
Pls help I’ll give crown
Answer:
B
Step-by-step explanation:
Figure A
2(8*4 + 4*4 + 4*8)
160
Figure B
6*4^2
96
Nicholas graphed a triangle with vertices of (2, 4), (2, 0) and (5, 0). His classmate, Suzi, graphed a similar
triangle with a perimeter of 36 units. What was the area of Suzi's triangle? Show all work to support your
answer.
An
Step-by-step explanation:
[tex]\huge\mathfrak\red{please \: solve \: } \\ \\ {\huge{\underline{\bf{\green{factorise: - }}}}} \\ \\ {\huge{\boxed{\sf{\purple{2x {}^{2} + 9x + 10 }}}}}[/tex]
Answer:
(x + 2)(2x + 5)
Step-by-step explanation:
2x^2 + 9x + 10 =
This is a trinomial of the form ax^2 + bx + c, where a is not 1.
Step 1: Try to factor out a common factor.
In this case, there is no common factor in all terms.
We will now factor by grouping.
Step 2. Find the product ac.
ac = 2 * 10 = 20
Step 3. Find two factors of ac whose product is ac and whose sum is b.
In this case, we need two numbers whose product is 20 and whose sum is 9.
Those numbers are 4 and 5.
Step 4. Break up the middle term using the two numbers we just found.
9x becomes 4x + 5x
Now we have
= 2x^2 + 4x + 5x + 10
Step 5. Factor by grouping. Factor a common factor out of the first two terms. Factor a common factor out of the last two terms.
= 2x(x + 2) + 5(x + 2)
Finally, factor out the common factor, x + 2.
= (x + 2)(2x + 5)
Answer: (x + 2)(2x + 5)
Select the correct answer.
A school bus has 25 seats, with 5 rows of 5 seats. 15 students from the first grade and 5 students from the second grade travel in the bus. How
many ways can the students be seated if all of the second-grade students occupy the first row?
OA 25P20
OB. SPs * 20P15
OC5C525C14
OD. SPs *15P15
OE PSX25C5
Answer:
B. [tex]^{5} P_{5}[/tex] × [tex]^{20} P_{15}[/tex]
Step-by-step explanation:
No. of students from first grade = 15
No. of students from second grade = 5
There are 5 rows of seats
Each row contains 5 seats
Total seats = 25
No. of ways for second-grade students to occupy the first row (i.e first 5 seats) = [tex]^{5} P_{5}[/tex]
Remaining seats = 20
So, now we are left with 15 first grade students
So, No. of ways for first-grade students occupy remaining seats = [tex]^{20} P_{15}[/tex]
Using the counting rule principle,
No. of ways for the students can be seated if all of the second-grade students occupy the first row = [tex]^{5} P_{5}[/tex] × [tex]^{20} P_{15}[/tex]
So, Option B is the correct answer
Hence, no. of ways for the students can be seated if all of the second-grade students occupy the first row is ×
There are ¹⁵P₁₅ x ¹⁰P₅ possible way to seat, if all of the second-grade students occupy the first row.
What is permutation?A permutation in math is the number of ways in which a set of data or objects can be ordered or arranged, where the order matters.
Given that, a school bus has 25 seats, with 5 rows of 5 seats. 15 students from the first grade and 5 students from the second-grade travel in the bus.
Since you have to place all first-grade students in the first three rows,
Therefore,
For the 15 first-graders of the first three rows (15 seats), we have ¹⁵P₁₅ since all 15 places have to be occupied by all 15 first-graders.
Then we have 10 remaining seats left to be assigned to the 5 second-graders = ¹⁰P₅
We then multiply the permutation numbers of those two arrangements to get the total ways:
¹⁵P₁₅ x ¹⁰P₅
Hence there are ¹⁵P₁₅ x ¹⁰P₅ possible way to seat, if all of the second-grade students occupy the first row.
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Please answer properly.
Answer:
[tex]1) y=-6[/tex]
[tex]2)x=3[/tex]
[tex]3) y=8[/tex]
[tex]4)a=8[/tex]
Step-by-step explanation:
[tex]4y+24=0[/tex]
subtract 24 from both sides
[tex]4y=-24[/tex]
divide both sides by 4
[tex]y=-6[/tex]
---------->>>>
[tex]15+3=6x[/tex]
combine like terms
[tex]18=6x[/tex]
divide both sides by 6
[tex]3=x[/tex]
---------->>>>
[tex]9y-72=0[/tex]
add 72 to both sides
[tex]9y+72[/tex]
divide both sides by 9
[tex]y=8[/tex]
---------->>>>
[tex]8a=75-11[/tex]
combine like terms
[tex]8a=64[/tex]
divide both sides by 8
[tex]a=8[/tex]
--------------------------------------------
Hope this is helpful.
Choose one of the following compounds; water, salt, or sugar, each is made of either two or three elements. Use a dictionary, encyclopedia, or website and look up each element for the compound. Then do the following:
Write a description of the element including anything you learn about the element’s properties: how the element smells, what color it is, what phase (solid, liquid, or gas) it occurs in, and whether it is poisonous or not. Is it used for anything in its elemental form?
(I know I put it in the mathematics section but that's because hardly any people answer in the biology one)
Answer:
Water is a compound. One molecule of water is made up of H2O or 2 hydrogen atoms and 1 oxygen atom. Water is colorless, tasteless, shapeless, and sizeless.
Step-by-step explanation:
Water is a compound made up of two hydrogen and one oxygen.
What are Compounds?Compounds are chemical substances formed by the combination of two or more different elements.
Here consider the compound Water.
A Water molecule is made up of two hydrogen atoms and one oxygen atom.
The molecular formula is H₂O.
Consider the element hydrogen from water.
Hydrogen is an element which does not have any smell and does not have color.
In the room temperature, hydrogen exists in gaseous state. It will turn in to liquid at low temperature and high pressure.
Hence water is a compound made up of two hydrogen and one oxygen.
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- Find the equation of the line in slope-intercept form that passes through the points (8,4) and (4,0)
Answer:
y = 1x - 4
Step-by-step explanation:
y2 - y1 / x2 - x1
0 - 4 / 4 - 8
-4 / -4
1
y = 1x + b
0 = 1(4) + b
0 = 4 + b
-4 = b
Ms. Emily had a total of 428.5 ounces of pretzels to put into 5 bowls for a party. She put an equal number of ounces of pretzels into each bowl. How many ounces of pretzels did Ms. Emily put into each bowl?
Answer:
85.7 ounces.
Step-by-step explanation:
428.5/5 = 85.7
Therefore, Ms. Emily put 85.7 ounces of pretzels into each bowl.
Answer:
85.7 ounces
Step-by-step explanation:
428.5 ounces ÷ 5=85.7 ounces
4) Which shampoo bottle size has the lowest price per ounce?*
One number is 16 more than the other and their average is 60. The numbers are *
Answer:
68
Step-by-step explanation:
Let The first number = X
& the Second one = X + 16
Sum of these two numbers = 120
X + X + 16 = 120
2X = 120 - 16
2X = 104
X = 52
So , the first number = 52
& Second one = 52 + 16 = 68
Answer:
The numbers are 52 and 68.
Step-by-step explanation:
Let x be the first number and y be the second. The question tells us that:
1) x = y + 16
2) (x + y) / 2 = 60
2 equations, 2 unknowns. Solve the system. Plug equation 1 into equation 2:
(y + 16 + y) / 2 = 60
2y + 16 = 120
y + 8 = 60
y = 52
Now plug the value of y back into either original equation. I'll use the first:
x = 52 + 16
x = 68
435 divided by 13,050
NOT DRAWN TO SCALE. find x
i have 4 times as much money as my brother has. our total is $55.how much does each of us have?
Answer:
You have 44$, your brother has 11$.
Step-by-step explanation:
Let [tex]x[/tex] be the amount of money your brother has.
Since you have four times the amount of money your brother has, we can call the amount of money you have [tex]4x[/tex].
[tex]x+4x=55,\\5x=55,\\x=\boxed{\$11}[/tex]
Thus, you have:
[tex]4(11)=\boxed{\$44}[/tex]
Answer:
he has 11 you have 44 dollars
Which capital letter appears to have an angle that is less than a right angle? \
H, L, T, Z
Answer:
Step-by-step explanation:
I think it’s z. The angles made are less than 90 degrees. The remaining letters all have right angles.
Can someone help me?It's urgent and thank you!
Answer number 3
Step-by-step explanation:
Answer:
hey, i answered in the wrong place last time, so i'm answering here again, it's letter c or d
Step-by-step explanation:
Could someone please help me please ASAP?
Concrete can be purchased by the cubic yard. How much will it cost to pour a slab 11 feet by 11 feet by 2 inches for a patio if the concrete costs $46.00 per cubic yard?
Answer:
$34.04
Step-by-step explanation:
The dimensions of a slab is 11 feet by 11 feet by 2 inches or 3.67 yards, 3.67 yards and 0.055 yards
We need to find the cost to pour a slab.
We know that the volume of a cuboid shape is given by :
V = lbh
Put all the values,
V = 3.67 × 3.67 × 0.055
V = 0.74 yards³
Cost,
C = $46 × 0.74
C = $34.04
Hence, the required cost is equal to $34.04.
jakie długości mają boki równobocznego, którego wynosi 18cm???klasa 5 PLZZ NA SZYBKO :(((((
Answer:
Boki tego trójkąta mają 6 cm.
Step-by-step explanation:
What is the sum of 7x2 − 3x + 5 and 8x + 2?
A jar contains 8 marbles: 3 are red and 5 are blue. What is the probability of 1 point
selecting a red marble, replacing it, and then selecting another red marble?
Answer:
the probability of getting red marbles=
4/8=1/2
Step-by-step explanation:
Please help with these problems!!!
Answer:
12345678901234567890
what is the area of this rectangle?
Answer:
24 tiles^2
Step-by-step explanation:
Length = 6
width = 4
Area = Length x width
= 6 x 4
= 24 tiles^2
what is 345% written in decimal form? i really need help :( thanks if u can!!