The perimeter of the square can be represented by the expression 36x+44 robin wants to write an equivalent expression for the perimeter that shows the side length of the square
Answer:
4 (9 x + 11) is an equivalent expression for the perimeter that shows the side length of the square is (9 x + 11).
Step-by-step explanation:
Here, given The perimeter of the square = (36 x+44)
Now,as we know :
PERIMETER OF SQUARE = 4 x ( SIDES)
Simplifying the perimeter expression.
Take 4 common out of the expression (36 x+44), we get:
(36 x+44) = 4 (9 x + 11)
⇒ Perimeter of the square = 4 x (9 x + 11)
⇒4 x ( SIDES) = 4 x (9 x + 11)
⇒ Each Side = (9 x + 11)
Hence, 4 x (9 x + 11) is an equivalent expression for the perimeter that shows the side length of the square is (9 x + 11).
Write a system of two equations.
A system of linear equation consists of two or more linear equations with the two or more same variables. Such equations are called system of equations (or) simultaneous equations (or) a pair of equations.
Example:
x + y = 5 is one linear equation.
2x – y = 4 is another linear equation.
But x + y = 5, 2x – y = 4 together they form system of linear equation.
The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Answer:
A liner equation is an equation between two variables that gives a straight line when plotted on a graph.A system of linear equation consists of two or more linear equations with the two or more same variables.
Step-by-step explanation:
x + y = 5 and 2x – y = 4 together they form a linear equation.
Also please give me Brainliests.
whats the radical form of 192????
Answer:
The radical form of [tex]192[/tex] is [tex]8\sqrt{3}[/tex].
Step-by-step explanation:
Given the number is [tex]192[/tex], we need to find its radical form.
We will do the factorization of [tex]192[/tex].
[tex]192=2\times2\times2\times2\times2\times2\times3=2^6\times3\\192=(2^3)^2\times 3\\192=8^2\times3\\[/tex]
Taking square root both sides we get,
[tex]\sqrt{192}=\sqrt{8^2\times 3}\\\sqrt{ab}=\sqrt{a}\times \sqrt{b}\\\sqrt{192}=\sqrt{8^2}\times \sqrt{3}\\\sqrt{192}=8\times\sqrt{3}\\\sqrt{192}=8\sqrt{3}[/tex]
So, the radical form of [tex]192[/tex] is [tex]8\sqrt{3}[/tex].
2 and 1/3 plus 1 and 5/9
Answer:
35/9
Step-by-step explanation:
2 1/3=7/3
1 5/9=14/9
------------------
7/3+14/9=21/9+14/9=35/9
Answer: 2 1/3 + 1 5/9 = 3 8/9
Step-by-step explanation: You make the fractions the same so 3/9 is equal to 1/3 so you multiply both numbers in fraction #1 (1/3) by 3 & just add, not the denominators though
To indicate that one's purpose for writing is to inform, an author would include clues such as
Answer:
Facts
Step-by-step explanation:
Ibuki factored 12 xZ as (4x) (3x4)
Melodie factored 12x7 as (2x (6x)
Who factored correctly?
Neither Ibuki nor Melodie factored 12x² correctly based on the expressions given. However, if Melodie's (2x)(6x) was meant for 12x², then her factorization would be correct.
Explanation:The students are attempting to factor the expression 12x². Factoring is the process of finding two or more expressions that multiply together to get the original expression. Ibuki's factorization of 12x² as (4x)(3x⁴) contains an error since 3x⁴ would imply raising x to the fourth power, which is not present in the original expression. Melodie's factorization of 12x² as (2x)(6x) is also incorrect since when you multiply 2x and 6x, you get 12x², not 12x⁷ as her expression suggests. The correct factorization of 12x² is (2x)(6x) since 2x multiplied by 6x equals 12x².
In summary, neither student has factored the expression correctly. However, if we take Melodie's answer as a typo and she meant (2x)(6x) for 12x², then her factored form would be correct.
please show the steps for the given picture
Answer:
8000
Step-by-step explanation:
So n equals 0.00 and then in the parentheses 1.1 you would multiply those two numbers X 1300. and then you would ×that answer by 8000 and you get 8000 .
Solve the inequality -24 < x - 3 - 8x.
O A.x2-3 B.X2-9 C.x23 D.xs3
Answer:
Step-by-step explanation:
-24 < x - 3 - 8x
-24 < -7x - 3
-24 + 3 < - 7x
-21 < - 7x ......divide by -7 and change ur sign
-21/-7 > x
3 > x <==== ur answer
** in an inequality, if u multiply or divide by a negative, u have to change the sign
:
Step-by-step explanation:
-24 < x - 3 - 8x
-24 + 3 < x - 8x
-21 < -7x
7x > 21
x > 21/7
x > 3
AE = EC and BF = FC. EF = 8 and DF = 10. AB = [?]
Answer:
Therefore AB is 16 units.
Step-by-step explanation:
Given:
AE = EC
BF = FC
EF = 8 and DF = 10
To Find:
AB = ?
Solution:
Mid Point Theorem:
The Midpoint Theorem states that "the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side".
AE = EC .....Given
Therefore E is the Mid Point of AC.
BF = FC .....Given
Therefore F is the Mid Point of BC.
Therefore,
EF || AB ........................Mid Point Theorem.
[tex]EF=\dfrac{1}{2}AB[/tex] ..............Mid Point Theorem.
Substituting the values we get
[tex]8=\dfrac{1}{2}AB\\\\AB=8\times 2=16\ units[/tex]
Therefore AB is 16 units.
Answer:
16
Step-by-step explanation:
Andrew and Elena knew that after 28 days they would have 2^28 coins, but they wanted to find out how many coins that actually is Andrew wrote: 2^28=2×28=56. Elena said, " No, exponents mean repeated multiplication. It should be 28×28, which works out to be 784." Do you agree with either of them? Explain your reasoning.
Both Andrew and Elena are wrong. The actual value of 2^28 equals 268,435,456.
Step-by-step explanation:
Elena was right when she said exponents mean repeated multiplication but she accidentally calculated the value of 28^2 instead of 2^28. 2^28 means that the number 2 should be multiplied with itself for 28 times.
2^2 means 2 multiplied by 2 equals 4. 2^3 means 2 multiplied by 2 and then multiplied by 2 again which equals 8. Similarly, if you multiply 2 with itself 28 times you will get a value of 268,435,456 (two hundred and sixty-eight million, four hundred and thirty-five thousand, four hundred and fifty-six). So Andrew and Elena will have 268,435,456 coins after 28 days.
i need to know the factors that will get me 10x squared - 25x equals 0
Answer:
10x² - 25x = 0 ⇔ 5x(2x-5) = 0
the factors are 5x and 2x-5
what is 17/27 as a decimal
Answer:
0.63
Step-by-step explanation:
Do the long division.
At a restaurant, bill and his four friends decided to divide the bill evenly. If each person paid $12, what was the total bill?
Answer:
total=$60
Step-by-step explanation:
Including bill there's a total of 5 people
take what each person paid, $12, and multiply by the number of people
$12(5)=$60
The total bill at the restaurant was $60, calculated by multiplying the amount each person paid ($12) by the number of people (5).
Explanation:In this Mathematics problem, Bill and his four friends, for a total of five people, decided to equally divide the restaurant bill. Each person paid $12. In order to find the total bill, we must multiply the amount each person paid by the number of people. This means, we multiply $12 by 5, which gives us a total bill of $60.
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Diagram 1 shows a triangle with feet of length 4y cm and height (y + 5) cm. Diagram 2 shows a square with a length of y cm. Given the area of the triangle exceeds the rectangle by 39 cm². Calculate the perimeter of the two diagrams.
Answer:
Step-by-step explanation:
Diagram 1
Area = b*h/2 = 4y*(y+5)/2 = 2y*(y+5)= 2y² + 10y
Diagram 2
Area = side*side = y * y = y²
the area of the triangle exceeds the rectangle by 39 cm².
2y² + 10y - y² = 39
y² + 10y = 39
y² + 10y -39 = 0
y² +13y - 3y - 3*13 = 0
y(y+13) -3(y+13)=0
(y+13)(y-3) = 0
y + 13 = 0 will not come as length couldn't be in negative
y - 3 = 0
y = 3 cm
Diagram 2:
Perimeter = 4*side = 4*y = 4*3 = 12 cm
evaluate x+6 when x=7
Therefore, the solution of the given equation is [tex]13[/tex].
What is the simplification?
Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
Here given equation is
[tex]x+6[/tex]
when [tex]x=7[/tex]
So, it would be
[tex]x+6=7+6\\=13[/tex]
Hence, the solution of the given equation is [tex]13[/tex].
To know more about the simplification
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What is another name for 1
a single
a lone
a solitary
a unit of
the drama club at school sells $15.00
coupon books. Their profit is 35% of the
total sales. What is their profit on each
book?
The profit on each book is $ 5.25
Solution:
Given that, the drama club at school sells $ 15.00 coupon books
Their profit is 35% of the total sales
Therefore,
Cost of a coupon book = $ 15
Profit = 35% of the total sales
We have to find the profit on each book
If a book is sold for $ 15 and then profit will be 35 % of 15
Let us find 35 % of 15
[tex]Profit\ on\ each\ book = 35 \% \times 15\\\\Profit\ on\ each\ book = \frac{35}{100} \times 15\\\\Profit\ on\ each\ book = 0.35 \times 15\\\\Profit\ on\ each\ book = 5.25[/tex]
Thus profit on each book is $ 5.25
To illustrate the importance of outliers, suppose you do not count the owner in the last problem. The data for the other
workers is:
$ US
5 people earn $25,000, 3 earn $27,000, and 1 earns $34,000
What is the mean salary and standard deviation (to the nearest dollar) of the workers?
Answer:
The mean is 26666.67 and the standard deviation is 372919430.33.Step-by-step explanation:
The mean means the average of the numbers.
The mean will be [tex]\frac{25000\times5 + 27000\times3 + 34000}{5 + 3 + 1} = \frac{240000}{9} = 26666.666666666[/tex].
The differences of the earnings from the mean are 1666.67, 26997.33, 33997.33.
Squaring the numbers we get, 2777788.89, 728855827.13, 1155818447.12.
We need to find the mean of the above numbers to get the standard deviation.
Thus, the standard deviation is [tex]\frac{2777788.89\times5 + 728855827.13\times3 + 1155818447.12}{9} = 372919430.33[/tex].
The camera was $824.99 but I had to pay the additional 10% tax. What did I pay in total for my camera?
Answer:
$907.489
Step-by-step explanation:
Cost of camera : $824.99
Tax = 10%
tax on camera = 824.99 x 10 /100 = 82.499
total amount to be paid = cost + tax
$824.99 + $82.499 = $907.489
Answer:
$907.49
Step-by-step explanation:
Figure out what 10% of 824.99 is. You should get 82.499 which you round up to the nearest hundredth because this is money which gives you 82.50.
824.99+82.50=907.49
What is -2+5(4+3r) equal to?
Answer:
18+3r
Step-by-step explanation:
-2+5(4+3r)
-2+5×4+3r
-2+20+3r
=18+3r
144 is what percent of 260
10x - 9y + 5x - 4y - 5x + 4x
Answer:
14x-13y
Step-by-step explanation:
HURRY ANSWER 16 POINTS
What percent of the volleyball players on Monday afternoon were counselors?
Answer: 10%
Step-by-step explanation: If there is a total of 20 volleyball players, but only 2 were counselors so, you have to divide 2 into 20 which would be .10 .
Add and simplify 7/8+1/6
Answer:
Step-by-step explanation:
Which of the following is equivalent to the expression i^22?
Answer:
Step-by-step explanation:
[tex]i^{22}=i^{2*11}=(i^{2})^{11}=(-1)^{11}=-1[/tex]
Answer:
i^22 = -1.
Step-by-step explanation:
i^22 = (i^4)^5 * i^2
Now i^2 = -1 ( by definition)
and i^4 = i^2 * i^2 = -1 * -1 = 1
So i^22 = 1^5 * -1
= 1 * -1
= -1.
explain why triangles LMN and NOP are similar
work out the length of MO
determine the 6th tern for the sequence: 4, 0.4
4 0 4 0 4 0 Answer is 0
Step-by-step explanation:
Mathaway
Use the Pythagorean theorem to find the unknown side of the right triangle.
15
36
A right triangle has a vertical side of length 15, a horizontal side of length 36, and an unlabeled hypotenuse.
Hypotenuse lengthequals=3 StartRoot 169 EndRoot3169
(Simplify your answer. Type exact answers, using radicals as needed.)
The length of hypotenuse is 39.
Step-by-step explanation:
Given,
Vertical side = a = 15
Horizontal side = b = 36
Hypotenuse = c
Using pythagorean theorem
[tex]a^2+b^2=c^2\\(15)^2+(36)^2=c^2\\225+1296=c^2\\1521=c^2\\c^2=1521[/tex]
Taking square root on both sides
[tex]\sqrt{c^2}=\sqrt{1521}\\c=39[/tex]
The length of hypotenuse is 39.
Keywords: square root, addition
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A store advertises a 35% discount on a $951 computer system.
Answer:
The computer system would be $332.85 less than the normal price, or $618.15 total.
Tomorrow I have a math midterm at 11:45a.m. and it is 9:30 p.m. I am going over the material and I really don't know it. What should I do? ( I only have to be at school for the test so 2 hours)
Answer: don't be scared to ask your teacher for help.
Step-by-step explanation:
You should try the best you can with whatever you got. Start with what you know and build from that to study in areas you aren't familiar with. Given the time constraints, you won't be able to get everything; however, you should be able to learn a few things, which is better than nothing. For any specific math questions you have, make a new post and I'll come take a look (or another helper will be able to help).