7. In a triangle there are two sides that have the same length and the third
side is 1.5 times longer than the length of the other two. Define a variable
to represent the unknown quantity. Then write an algebraic expression to
represent the perimeter of the triangle.

Answer:

Step-by-step explanation:

17.55 x 0.92 = $16.15

Answer:

i think it is the second one y=35x

Step-by-step explanation:

when we put for example 2  in place of x it will be

it will y=35*2

y=70 so i believe it is the second one

i am soo sorry if it was wrong

The length of side {x} in simplest radical form with a rational denominator is 2√6.

According to the Pythagoras theorem, we can write -

        (hypotenuse)² = (base)² + (perpendicular)²

        (h)² = (b)² + (p)²

Given is the right - angled triangle.

We can write using the Pythagoras theorem as -

x² = √12² + √12²

x² = 12 + 12

x² = 24

x = √2 x 2 x 2 x 3

x = 2√6

Therefore, the length of side {x} in simplest radical form with a rational denominator is 2√6.

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Answer:  

A quadratic equation is an equation of the form ax^2 + bx + c = 0, where a, b, and c are constants, and x is a variable.

The equations that are quadratic equations are:

(i) x^ 2 + 6 x − 4 = 0

(v) 2 x^ 2 − √ 3 x + 9 = 0

The equations that are not quadratic equations are:

(ii) √ 3 x^ 2 − 2 x + 1/ 2 = 0

(iii) x^ 2 + 1/ x^ 2 = 5

(iv) x − 3/ x = x ^ 2

(vi) x ^ 2 − 2 x − √ x − 5 = 0

(vii) 3 x ^ 2 − 5 x + 9 = x 2 − 7 x + 3

(viii) x + 1 x = 1

In (ii) √ 3 x^ 2 − 2 x + 1/ 2 = 0 the coefficient of x^2 is not a real number.

In (iii) x^ 2 + 1/ x^ 2 = 5 the equation is not in the form of ax^2 + bx + c = 0

In (iv) x − 3/ x = x ^ 2 the equation is not in the form of ax^2 + bx + c = 0

In (vi) x ^ 2 − 2 x − √ x − 5 = 0 the equation is not in the form of ax^2 + bx + c = 0

In (vii) 3 x ^ 2 − 5 x + 9 = x 2 − 7 x + 3 both sides are not equal

In (viii) x + 1 x = 1 the equation is not in the form of ax^2 + bx + c = 0

So, the equations that are quadratic equations are (i) and (v).

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

w = 12500p + 250

250 is a fixed number of words.

12500 is the slope

For each dollar the price increases, the number of words increases by 12,500.

Answer: A

Answer: 4q^2

Step-by-step explanation:

(-2q)^2=

(-2*q)^2=

(-2)^2 * q^2=

4 * q^2=4q^2

The complete two way frequency  table after survey is:

             13      19      32

             28      15     43

             41       34     75

Just count the missing numbers in the row or column:

32 - 19 = 13

This is the value that goes to the top left in the table because we can subtract here. There are no total votes.

We can now calculate the total number of positive votes to be 41.

In the value of the No column, we will again find the middle number by subtracting the top number from the total number of No votes.

34 - 19 = 15

Similarly,

From the middle row, we can simply add the values ​​to get the total:

28 + 15 = 43.

Finally we find a total of 75.

The complete two way frequency table after survey is:

             13      19      32

             28      15     43

             41       34     75

Complete Question:

A weatherman asks 75 people from two different cities if they own rain boots. Complete the two-way frequency table to show results of the survey.

                               Rain Boots

             City       Yes         No        Total

               A                        19            32

               B          28

            Total                      34

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Answer:

\(\sqrt{12}\) units

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let x be the other leg, then

x² + 2² = 4²

x² + 4 = 16 ( subtract 4 from both sides )

x² = 12 ( take the square root of both sides )

x = \(\sqrt{12}\) units

which can be simplified to 2\(\sqrt{3}\) units , if required.

Answer:

it is 8

Step-by-step explanation:

Answer:

The length is 12cm

Step-by-step explanation:

The perimeter is the sum of all the sides

To work out the length of the rectangle you would first need to multiply the width of 4 by 2, this gives you 8. This is because the perimeter of the rectangle is the sum of all the sides, and as the rectangle has two sets of identical parallel lines.

 The next step is to minus 8 from 32, this gives you 24. This is because we are isolating just the set of lengths.

The next step is to divide the value of 24 by 2, this gives you 12. This is because we had previously worked out what double the length is due to it being a set of parallel lines.

1) Multiply 4 by 2.

\(4*2=8cm\)

2) Minus 8 from 32.

\(32-8=24cm\)

3) Divide 24 by 2.

\(24/2=12cm\)

Checking your answer:

To check your answer you would simply add the values of: 12, 12, 4, 4, and if this gives you 32 then the answer is correct.

1) Add 12 and 12 and 4 and 4.

\(12+12+4+4=32cm\)

The average rate of change for d(t) = 40| t - 1.25| in interval 0.5 ≤ x ≤ 1.0 is -40.

Rate is a measurement to determine the change in one quantity with respect to another quantity.

The given function is,

d(t) = 40| t - 1.25|

And the given interval, is 0.5 ≤ x ≤ 1.0

To find the average rate of change for given function,

Use formula

Average rate of change = f(b) - f(a) / b - a

In the given question a = 0.5 and b= 1.0

d(0.5) = 40 | 0.5 - 1.25| = 40 |-0.75| = 40(1.20) = 30

d(1.0) = 40 |1 - 1.25| = 40 |-0.25| = 40(0.25) = 10

The average rate of change = 10 - 30 / 1 - 0.5 = -20 / 0.5 = -40

The average rate of change of the given function is -40.

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The number of combinations to define a 4-member committee will be 70.

Let 'x' be the number of things chosen out of 'n' number of things. Then the combination is given as,

ⁿCₓ = n! / [(n - x)! · x!]

And the permutation is written as,

ⁿPₓ = n! / [(n - x)!]

The committee of 4 people is chosen out of 8 people. Then the number of combinations is given as,

⁸C₄ = 8! / [(8 - 4)! · 4!]

⁸C₄ = (8 × 7 × 6 × 5 × 4!) / (4 × 3 × 2 × 1 × 4!)

⁸C₄ = (8 × 7 × 6 × 5) / (4 × 3 × 2 × 1)

⁸C₄ = 1680 / 24

⁸C₄ = 70

The number of combinations to define a 4-member committee will be 70.

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Answer:

2:5

Step-by-step explanation:

Since there are 2 nickles and 5 quarters there are 2 nickles for every 5 quarters so answer is 2:5

Answer:

8 mins 20000feet

Step-by-step explanation:

let mins be x

45600-3200x = 2500x

so 45600= 5700

x=8

2500*8 = 20000

For any inscribed quadrilateral, the opposite angles add to 180

(angle PMN) + (angle NOP) = 180

(8x-24) + (4x) = 180

12x-24 = 180

12x-24+24 = 180+24  ..... add 24 to both sides

12x = 204

12x/12 = 204/12 ..... divide both sides by 12

x = 17

angle NOP = 4x

angle NOP = 4*17

Answer: Pythagorean triples are given by the formula:- AC² = AB² + BC²

The third side in the right triangle measures 23 units

Step-by-step explanation: The Pythagoras theorem as stated in the answer above is used in mathematics to solve for an unknown side(s) in any right angled triangle.

Pythagorean triples are so named because it refers to a right angled triangle in which the values of all three sides are always the same set of three numbers, and changing one of them changes everything completely. A very common Pythagorean triple is given as 3, 4 and 5. This means, the right angled triangle has sides measuring 3, 4 and 5. Hence to solve a right angled triangle with two sides given as 3 and 4 with the Pythagoras theorem is already half solved as the answer would always be 5.

Therefore, in a right triangle with leg lengths of 16, the first thing to note is that this a right isosceles triangle. We know this because a triangle with two legs having the same length is an isosceles triangle. That leaves us with the third side which is the hypotenuse. The Pythagoras formula just as stated above is given as follows;

AC² = AB² + BC²

Where AC is the hypotenuse (longest side), and AB and BC are the other two sides.

AC² = 16² + 16²

AC² = 256 + 256

AC² = 512

Add the square root sign to both sides of the equation

√AC² = √512

AC = 22.62741699...

AC ≈ 23

Therefore the Pythagorean triple as required by the question is given as

16, 16 and 23

Answer:

3

Step-by-step explanation:

if there are 9 red balls then there will be 3 blue balls because 3 is 1/3 to 9

an example being there are 8 pink eggs the ratio is 2:4 then it would be 4 green eggs because 4 is 2/4 of 8

Answer:

Step-by-step explanation:

Ratio of red balls to blue balls=1:3

let the number of red balls be x

and the number of blue balls be 3x

if there are 9 red balls then x=9

the number of blue balls is 3(9)=27

An equivalent expression to the given expression 36x³ – 64xy² is 4x(3x + 4y)(3x - 4y) respectively.

An expression, also known as a mathematical expression, is a finite collection of symbols that are correctly formed in accordance with context-dependent requirements.

A statement, at least two variables or integers, and one or more arithmetic operations make up a mathematical expression.

This mathematical procedure makes it possible to multiply, divide, add, or subtract quantities.

So, the equivalent expression would be:

We have the expression as follows: 36x³ – 64xy²

Now, calculate as follows:

= 36x³ – 64xy²

= 4x(9x² - 16y²)

= 4x(3x + 4y)(3x - 4y)

Therefore, an equivalent expression to the given expression 36x³ – 64xy² is 4x(3x + 4y)(3x - 4y) respectively.

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Correct question:

Write an expression that is equivalent to the expression 36x³ – 64xy².

Answer:

3

Step-by-step explanation:

Step-by-step explanation:

❀ \( \underline{ \underline{ \text{Given \: points}}} : \)

Let the point A ( 3 , 0 ) be ( x₁ , y₁ ) & B ( -3 , 3 ) be ( x₂ , y₂ ).

❀ \( \underline{ \underline{ \text{To \: find}}} : \)

✄ \( \boxed{ \boxed{ \sf{slope = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}}}} \)

~Plug all the known values and then simplify !

⟶ \( \tt{ \frac{3 - 0}{ - 3 - 3}} \)

⟶ \( \tt{ \frac{3}{ - 6}} \)

⟶ \( \tt{ - \frac{1}{2}} \)

\( \pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \underline{ \underline{ \tt{ - \frac{1}{2}}}}}}}} \)

Hope I helped ! ♡

Have a wonderful day / night ! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

The decimal number of bits required to store a + b or a - b is 17 bits.

The number of bits required to store the result of the operations equal.

For the given 4-digit hex numbers a and b, convert them to binary to determine the number of bits required. Each hexadecimal digit corresponds to 4 binary bits.

Therefore, the number of bits required to store a is 4 ×4 = 16 bits, and the number of bits required to store b is also 16 bits.

To calculate the number of bits required to store a + b or a - b, to consider the maximum value that can result from these operations. The maximum value will occur when both a and b have their highest possible values.

For a 4-digit hex number, the highest value is "FFFF" in hexadecimal or 65535 in decimal. When performing addition or subtraction, the maximum result will be 2 ×65535 = 131070, which represented by 17 bits.

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As per the given details, the time has passed from the first clock to the second clock is 4 hours.

Here we have given that a clock with every hour labeled and tick marks every 1 minute the short hand points to between the 12 and 1.

And here we also know that the long hand points to the fourth tick mark after the 12 and then a clock with every hour labeled and tick marks every 1 minute the short hand points to between the 12 and 1.

Then it means that the time difference between these two time is written as 1 hour.

After that the long hand points to the first tick mark after the 11 and the clock with every hour labeled and tick marks to show minutes then the the short hand points between the 12 and 1.

Now, the time is written as

=> 1 + 2 = 3

Again we have given that the long hand points to the first tick mark after the 11.

Which means it take another 1 hour, then the total timing is written as,

=> 3 + 1 = 4.

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The perimeter of the pitch is 200 meters.

The term "perimeter" refers to the total length of the boundary or outer edge of a two-dimensional shape. It represents the distance around the shape.

To calculate the perimeter of the pitch using the formula P = 2(L + b), where L represents the length and b represents the breadth.

Let's assume the length of the pitch is 60 meters and the breadth is 40 meters. We can substitute these values into the formula:

P = 2(60 + 40)

P = 2(100)

P = 200 meters.

Therefore, the perimeter of the pitch is 200 meters.

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Answer:

8 nights

Step-by-step explanation:

The simplification of the algebraic expression gives (4n+ 4) / (n²+2n-15)

An algebraic expression is an expression that is made up of variables and constants, along with algebraic operations like addition, subtraction, square root, etc.

The expression can be simplified as follow:

First, find the LCM of (n-3) and (n+ 5). That is:

2/(n-3) + 2/(n+ 5) = [2(n+5) + 2(n-3)] / [(n-3)(n+ 5)]

                           = [2n+10 + 2n-6] / [n²+2n-15]

                           = (4n+ 4) / (n²+2n-15)

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Answer:

5

Step-by-step explanation:

13² - 12² = 25

√25 = 5

Have a great day <3

Answer:

Area = 4.5 π cm²

Step-by-step explanation:

Area of semicircle = \(\frac{\pi r^2}{2}\)

Where r = 3cm

=> Area = \(\frac{\pi(3)^2 }{2}\)

=> Area = \(\frac{9\pi }{2}\)

=> Area = 4.5 π cm²

Answer:

You can buy 4 Pizzas

Step-by-step explanation:

if you think carefully the devilery fee is still $7

because even how many pizzas you odered,the devilery man can deliver them all together

divide the spare change with the price of each pizza.

55÷12=4 r.7

4×12= 48

$48 dollars for 4 pizzas and $7 for the delivery.

48+7=55

thus he bought 4 pizzas

Answer:

thats math solution u need to answer it

Answer: \(6x-5\)

Step-by-step explanation:

Given

The side lengths of a triangle are  \(3x-5, 2x-1,\text{and}\ x+1\)

Perimeter(P) is the sum of the side length of the triangle i.e.

\(\Rightarrow P=3x-5+2x-1+x+1\\\Rightarrow P=6x-5\)

Therefore, the perimeter of the triangle is \(6x-5\)

The values of a, h and k on the function are given as follows:

The meaning of the transformations is given as follows:

A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.

The four translation rules for functions are defined as follows:

The parent function in this problem is given as follows:

y = 1/x.

Hence the meaning of the transformations is given as follows:

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