The longest side of a right triangle is 15 feet. The third side is 15 less than three times the shortest side. Find the length of the shortest side.

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.

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

To find the area of a triangle, multiply the base by the height, and then divide by 2. The division by 2 comes from the fact that a parallelogram can be divided into 2 triangles.

Step-by-step explanation: To find the area of a triangle, multiply the base by the height, and then divide by 2. The division by 2 comes from the fact that a parallelogram can be divided into 2 triangles.

Answer:

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].

Answer:

-15

Step-by-step explanation:

The pattern is adding 3 and adding a negative sign

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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Answer:

Facts

Step-by-step explanation:

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).

Answer:

14x-13y

Step-by-step explanation:

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

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 .

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:

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.

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.

We have two lines intersected by a transversal. There is a relationship between <6 and <2. They are corresponding angles and are congruent. So if the m<6 = 75° then the m<2 = 75°.

answer: m<2 = 75°

Answer:

The computer system would be $332.85‬ less than the normal price, or $618.15‬ total.

Answer:

Step-by-step explanation:

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

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).

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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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.

a single

a lone

a solitary

a unit of

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

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].

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Answer:

0.63

Step-by-step explanation:

Do the long division.

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].

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.

The number of questions in the test is 30

Step-by-step explanation:

Let's call the total number of questions in the test N.

We know that Laura answered 27 questions, and these 27 questions represent the 90% of the test.

Therefore, we can say that 27 is the 90% of N.

Re-writing the percentage as a fraction,

[tex]90\% = 0.90[/tex]

This means that:

[tex]0.90 N = 27[/tex]

And now we can solve for N to find the number of questions in the test:

[tex]N=\frac{27}{0.90}=30[/tex]

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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 .