144 is what percent of 260​

The best reflection of Jason's answer among the given options is option : [tex]\((5x + 1)(5x - 1)\).[/tex]

The correct option is (H).

To factor [tex]\(25x^2 - 1\)[/tex], Jason likely used the difference of squares formula. This formula states that for any expressions [tex]\(a\) and \(b\), \(a^2 - b^2\)[/tex] can be factored as [tex]\((a + b)(a - b)\).[/tex]

In our case, [tex]\(a = 5x\) and \(b = 1\)[/tex]. So, we apply the difference of squares formula:

[tex]\[25x^2 - 1 = (5x)^2 - 1^2\][/tex]

[tex]\[= (5x + 1)(5x - 1)\][/tex]

This factorization is a result of recognizing that [tex]\(25x^2 - 1\)[/tex] can be written as [tex]\((5x)^2 - 1^2\),[/tex] fitting the difference of squares pattern.

Now, let's compare Jason's answer to the options given:

- Option F: [tex]\((5x-1)(5x-1)\)[/tex] is not correct. This represents the square of [tex]\(5x - 1\),[/tex] not a difference of squares.

- Option G: [tex]\((5x+1)(5x+1)\)[/tex]is not correct. This also represents the square of [tex]\(5x + 1\),[/tex] not a difference of squares.

- Option H:[tex]\((5x+1)(5x-1)\)[/tex] is correct. This represents the correct factorization using the difference of squares formula.

- Option J: Prime. This is incorrect because [tex]\(25x^2 - 1\)[/tex] can indeed be factored as [tex]\((5x + 1)(5x - 1)\).[/tex]

Therefore, the best reflection of Jason's answer among the given options is option H: [tex]\((5x + 1)(5x - 1)\).[/tex]

complete question given below:

Jason was asked to factor 25x^2-1 on his algebra test. Which of the following could best reflect Jason's answer?

F. (5x-1)(5x-1)

G. (5x+1)(5x+1)

H .(5x+1)(5x-1)

J .Prime

Option A

The vertex is (h, k) = (5, -25)

Solution:

Given function is:

[tex]f(x) = x^2-10x[/tex]

The vertex form is given as:

[tex]y = a(x-h)^2+k[/tex]

Rewrite the equation in vertex form

[tex]f(x) = x^2-10x[/tex]

Complete the square for  [tex]x^2-10x[/tex]

Use the form [tex]ax^2+bx+c[/tex] to find the values of  a, b, c

a = 1 , b = -10, c = 0

Consider the vertex form of a parabola

[tex]a(x+d)^2+e[/tex]

Substitute the values of a and b into the following formula to find "d" :

[tex]d = \frac{b}{2a}\\\\d = \frac{-10}{2 \times 1}\\\\d = -5[/tex]

Find the value of "e" using the formula,

[tex]e = c - \frac{b^2}{4a}\\\\e = 0 - \frac{(-10)^2}{4 \times 1}\\\\e = -25[/tex]

Substitute the value of a, d, e into vertex form

[tex]a(x+d)^2+e\\\\1(x-5)^2-25\\\\(x-5)^2-25[/tex]

Set y equal to above equation

[tex]y = (x-5)^2-25[/tex]

Compare the above equation with vertex form

[tex]y = a(x-h)^2+k[/tex]

[tex]y = (x-5)^2-25[/tex]

We find, h = 5 and k = -25

Thus the vertex is (h, k) = (5, -25)

Answer:

$50

Step-by-step explanation:

If the tip was $9, you can find the total price by dividing 9 by .18.  .18 is 18% but as a decimal (move to the left two decimal places).  9/.18 = 50.

You can also check the answer by finding the 18% tip of $50. 50*.18=9.

Answer:P=N/(2t3q2)

Step-by-step explanation:

N=2pt3q2

Divide both sides by 2t3q2

N/(2t3q2)=(2pt3q2)/(2t3q3)

N/(2t3q2)=p

Answer:

Bout which cars?

Step-by-step explanation:

Sorry, but I think you've missed out a part of the question

Answer:

[tex]x=\frac{5t^2-a}{6-5t}[/tex]

Step-by-step explanation:

Given equation is

[tex]6x+a=5t(x+t)[/tex]

We have to make [tex]x[/tex] the subject of formula. That means we have to isolate [tex]x[/tex].

[tex]6x+a=5t(x+t)[/tex]

Distribute [tex]5t[/tex]

[tex]6x+a=5tx+5t^2[/tex]

Subtract [tex]a[/tex] both side we get,

[tex]6x+a-a=5xt+5t^2-a[/tex]

[tex]6x=5xt+5t^2-a[/tex]

Subtract [tex]5xt[/tex] both side we get,

[tex]6x-5xt=5xt-5xt+5t^2-a\\6x-5xt=5t^2-a[/tex]

Now, take [tex]x[/tex] common from left side of equation

[tex]x(6-5t)=5t^2-a[/tex]

Divide [tex]6-5t[/tex] both side,

[tex]\frac{x(6-5t)}{6-5t}=\frac{5t^2-a}{6-5t}\\\\x=\frac{5t^2-a}{6-5t}[/tex]

Answer:

x = 16

Step-by-step explanation:

Given that the sum of the exterior angles is 360°

Sum the given exterior angles and equate to 360

47 + 93 + 46 + 3x + 62 + 4x = 360, that is

248 + 7x = 360 ( subtract 248 from both sides )

7x = 112 ( divide both sides by 7 )

x = 16

Substitution method is used  for solving systems of equations in which you plug in an expression for one variable written in the terms of the other

Two or more expressions with an Equal sign is called as Equation.

The method described is called substitution method.

In the substitution method, we start by solving one equation for one of the variables in terms of the other variable.

Then, we substitute the expression we found for that variable into the other equation.

This allows us to solve for the other variable.

Finally, we substitute the value we found for that variable back into one of the original equations to solve for the first variable.

Hence, substitution method is used  for solving systems of equations in which you plug in an expression for one variable written in the terms of the other

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Answer:

Step-by-step explanation:

12x-20=6(x-20)-9x

Opening bracket

12x - 20 = 6x - 120 - 9x

Collecting like terms

12x - 6x + 9x = -120 + 20

15x = -100

Dividing by 15

15x/15 = -100/15

x = -20/3

x = - 6 2/3

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

12x - 20 = 6( x - 20) - 9x

pay attention to the brackets as you simplify.

Let's work on it:

12x - 20 = 6x - 120 -9x

Collecting like terms to further simplify the equation.

12x - 6x + 9x = -120 + 20

15x = -100

Let's make x the subject formula by dividing through by 15

Therefore:

x = -100 / 15

Divide through by 5

x = -20 / 3

Since nothing can easily divide through, we turn it to a mixed fraction

x = - 6 2/3

( Minus six whole number, two divided by three)

Answer:

Step-by-step explanation:

[tex]3\sqrt{x+3}-6=0\\\\3\sqrt{x+3}=6\\\\\sqrt{x+3}=\frac{6}{3}\\\\\sqrt{x+3}=2\\\\Takesquarebothsides,\\\\x+3=2^{2}\\\\x+3=4\\\\x=4-3\\\\x=1[/tex]

Hey there!

I'm going to set up the equation slightly different.

[tex](3)(8)=t+5\\24=t+5\\t+15=24\\t+15-15=24-15\\t = 9 \checkmark[/tex]

Answer:

t = 9

Step-by-step explanation:

3x8 = t + 15

24 = t + 15

t = 24 - 15

t = 9

Answer:x f(x)=0.5x g(x)=−0.5x+1

This implies that f(x)= 0.5 and

g(x)= -0.5x + 1

-0.5x + 1= 0.5

-0.5x= 0.5-1

-0.5x=-0.5

x= -0.5/-0.5

x=1

Step-by-step explanation:

Final answer:

To solve f(x) = g(x), set 0.5x equal to −0.5x + 1. Solve for x by combining like terms, which gives x = 1 as the solution.

Explanation:

To determine the solution to f(x) = g(x), we set the two functions equal to each other and solve for x.

The function f(x) is given by f(x) = 0.5x, and the function g(x) is given by g(x) = −0.5x + 1.

Setting f(x) equal to g(x), we have:
0.5x = −0.5x + 1

To solve for x, we'll combine like terms by adding 0.5x to both sides, which gives us:
0.5x + 0.5x = 11x = 1

When we divide both sides by 1, we get:

x = 1

So the solution to f(x) = g(x) is when x = 1.

Answer:

Figure is attached:

Acute angles are angles whose measures are less than 90°, so it needs to be less than a right angle.

Vertical angles are angles formed by two intersecting lines. When these lines intersect they form 4 angles in the middle. They are called vertical when they are opposite of each other like the figure attached.

Supplementary angles are two angles that sum up to 180° or they make up a straight line.

Complementary angles are two angles that sum up to 90°.

Adjacent angles are angles that are next to each other.

Answer:

A) 100000

B) 80/100000

Step-by-step explanation:

A) it is a simple matter of multiplying the possibilities of the digit it could be to the second one then to the third and so on and so forth

B) if a person were to enter a 5 digit code at random say it be 00000 then that person would have 80 out of a 100000 chance of unlocking the door as there are only 80 access codes that are correct

There are 100,000 possible 5-digit codes. The probability of a random 5-digit code granting access is 0.0008 or 0.08%.

This problem involves combinatorics and probability.

a) If each digit of the 5-digit code can be any number from 0-9, then for each digit, 10 possibilities exist. Hence the total number of possibilities for a 5-digit code would be 10*10*10*10*10, which is 100,000. So there are 100,000 possible 5-digit codes.

b) Probability is defined as the number of ways an event can occur over the total number of outcomes. If each 5-digit code is unique and assigned to only one employee, with 80 employees, there are 80 valid codes. Therefore, the probability of someone entering a 5-digit code at random and gaining entry would be 80 (the number of successful outcomes) divided by 100,000 (the total number of possible outcomes), which is 0.0008 or 0.08%.

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Answer: 2x + 5y = -5

Step-by-step explanation:

Two lines are said to be parallel if they have the same slope.

The equation of the line given :

2x + 5y = 10

To find the slope , we will write it in the form y = mx + c , where m is the slope and c is the y - intercept.

2x + 5y = 10

5y = -2x + 10

y = -2/5x + 10/5

y = -2/5x + 2

This means that the slope is -2/5 ,the line that is parallel to this line will also have a slope of -2/5.

using the formula:

[tex]y-y_{1}[/tex] = m ([tex]x-x_{1}[/tex] ) to find the equation of the line , we have

y - 1 = -2/5(x -{-5})

y - 1 = -2/5 ( x + 5 )

5y - 5 = -2 ( x + 5 )

5y - 5 = -2x - 10

5y + 2x = -10 + 5

therefore :

2x + 5y = -5 is the equation of the line that is parallel to 2x + 5y = 10

Answer: 2x + 5y = -5

Step-by-step explanation:please see attachment for explanation

80 USD × (1.0343 AUD / 1 USD)

Solution:

To convert 80 US dollars into Australian dollars.

1 US dollar = 1.0343 AU dollar

1 AU dollar = 0.9668 US dollar

To find 80 US dollars into Australian dollars multiply 80 US dollars by 1.0343

80 AU dollars = 80 × 1.0343/ 1 USD

The expression is 80 USD × (1.0343 AUD / 1 USD)

Hence, the expression which is used to convert 80 US dollars to Australian dollars is 80 USD × (1.0343 AUD / 1 USD).

To find the distance from a point to a line, we can use the distance formula. For this problem, the distance from point A(-2,3) to the line y=1/2x+1 is approximately 2.5 units.

To find the distance from a point to a line, we can use the formula for the distance between a point and a line. The formula is:

d = |Ax + By + C| / √(A^2 + B^2)

In this case, the equation of the line is y = (1/2)x + 1, which can be rewritten as 2x - y + 2 = 0. Plugging in the coordinates of point A in the equation, we get:

d = |(2 * -2) + (-1 * 3) + 2| / √((2^2) + (-1^2)))

After completing the calculation, rounding the answer to the nearest tenth, the distance from point A(-2,3) to the line y = (1/2)x + 1 is approximately 2.5 units.

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Answer:

14

Step-by-step explanation:

(2(19)-10)=2

(38-10)=2

(28)=2

÷2. ÷2

14

Answer:

23

Step-by-step explanation:

you add all the numbers

Answer: Second option.

Step-by-step explanation:

Given the following Inequality provided in the exercise:

[tex]50 - 8m \geq 0[/tex]

You need to solve for "m".

Then, you can follow the steps below in order to find the solution of the inequality:

Step 1: You must apply the Subtractrion property of Inequality and subtract 50 from both sides:

[tex]50 - 8m-(50) \geq 0-(50)\\\\- 8m \geq -50[/tex]

Step 2: Now you need to apply the Division property of Inequality and divide both sides of this inequality by -8 (Since you are dividing both sides by a negative number the direction of the inequality changes). Then, you get:

[tex]\frac{- 8m}{-8} \geq \frac{-50}{-8}\\\\m\leq \frac{25}{4}\\\\m\leq6.25[/tex]

Notice that this solution matches with the second option.

Answer:

geometric sequence

Step-by-step explanation:

If the sequence is geometric then there must be a common ratio r between consecutive terms, that is

320 ÷ 128 = 2.5

800 ÷ 320 = 2.5

2000 ÷ 800 = 2.5

Since there is a common ratio r = 2.5 between consecutive terms.

Then the sequence is geometric

Answer:

[tex]x<-\frac{1}{4}[/tex]

Step-by-step explanation:

The correct question is

Solve. −3/5x+1/5>7/20 Drag and drop a number or symbol into each box to show the solution

we have

[tex]-\frac{3}{5}x+\frac{1}{5} >\frac{7}{20}[/tex]

Solve for x

Multiply by 20 both sides

[tex]-12x+4 >7[/tex]

subtract 4 both sides

[tex]-12x >7-4[/tex]

[tex]-12x >3[/tex]

divide by -12 both sides

Remember that when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

[tex]x<-\frac{3}{12}[/tex]

simplify

[tex]x<-\frac{1}{4}[/tex]

Answer:

x < 1/4

Step-by-step explanation:

you're supposed to add or subtract the constant, and then do the same to the other constant, them bring down the coefficient and you'll get your answer.

hope this helps

Answer:

5G/10

Step-by-step explanation:

Option D

The total earnings of Yvette is $ 47, 400

Solution:

Given that, Yvette earns a $45,000 salary plus a 12% commission on any sales over $10,000

Last year Yvette made $30,000 in sales

Subtract 10,000 from her sales to get the amount she earns commission on:

30,000 - 10,000 = 20,000

Since Yvette gets 12% commission

So amount earned as commission would be 12% of $20,000

[tex]\text{Commission}=20000\times \frac{12}{100}\\\\\text{Commission}=20000\times 0.12\\\\\text{Commission}=2400\left\\\\[/tex]

Yvette also gets a salary of $45,000, so Yvette's total earnings would be $45,000 plus $2,400

[tex]Total\ Earnings = 45000 + 2400 = 47400[/tex]

Thus total earnings of Yvette is $ 47, 400

Answer:

D

Step-by-step explanation:

Answer:

x = 72

Step-by-step explanation:

To solve for 'x', isolate it. This means to keep 'x' on one side of the equal sign, while moving the other numbers to the other side. The numbers on the other side will tell you what 'x' equals to.

When 'moving' a number to the other side, you cancel it out where it originally is by doing reverse operations. (Reverse operation pairs are addition/subtraction and division/multiplication). To keep an equation balanced, what you do to one side you have to do to the other.

[tex]\frac{3}{8}x-17=10[/tex]        Keep 'x' on the left and move everything over.

[tex]\frac{3}{8}x-17+17=10+17[/tex]        Add 17 to both sides. "-17" cancels out on the left.

[tex]\frac{3}{8}x=27[/tex]        Simplified right side

[tex]\frac{3}{8}x/\frac{3}{8}=27/\frac{3}{8}[/tex]        Because 3/8 originally multiplies with 'x', do the reverse: divide both sides by 3/8.

[tex]x=27/\frac{3}{8}[/tex]        To divide a fraction, change to multiplication and flip the fraction's top and bottom numbers.

[tex]x=27*\frac{8}{3}[/tex]        Combine the factors into one fraction.

[tex]x=\frac{27*8}{3}[/tex]        Multiply 27 by 8 in the numerator.

[tex]x=\frac{216}{3}[/tex]        Simplify the fraction by dividing top by bottom.

[tex]x=72[/tex]        Final answer, solved for 'x'

Answer:

[tex]\frac{145}{13}[/tex]

Step-by-step explanation:

 2÷13+11

= (2÷13)+11

= (2÷13)+(11×13÷13)

=(2÷13)+(143÷13)

= 145÷13

I believe the answer would be B because it makes the most sense putting the figures scaled in my head with the already designated lengths

To prove that LMN~XYZ by the SSS similarly theorem , the measure of sides are LM is 4 units and XZ is 6 units

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be ΔLMN

Let the second triangle be ΔXYZ

Now , the corresponding sides are

LM / XY = LN / XZ

On simplifying , we get

The corresponding sides of similar triangles are in the same ratio

So ,  LM is 4 units and XZ is 6 units

Hence , the triangles are similar by SSS theorem

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The correct answer is that 55 squares on a 10-by-10 grid would be shaded to represent 55%.

To solve this problem, we need to calculate the total number of squares on a 10-by-10 grid and then determine what 55% of that total would be.

First, we calculate the total number of squares on the grid:

[tex]\[ \text{Total squares} = 10 \times 10 \\\[ \text{Total squares}= 100 \][/tex]

Next, we find 55% of the total number of squares:

[tex]\[ \text{Number of shaded squares} = \frac{55}{100} \times 100 \][/tex]

[tex]\[ \text{Number of shaded squares} = 55 \][/tex]

So, to represent 55% on a 10-by-10 grid, we would shade 55 out of the 100 squares.

Answer: i would help but i'm confused....what problem? can yhu attach it so i could help??! - Lexi@helps

Step-by-step explanation: