All the backpacks at sports galore are on sale at 30% off the marked price. Tracy bought a backpack that was marked $60. What was the sale price?

When given expression 2x (x + 3y) +5 (2x - 2) simplified completely then it would have 4 terms.

Consider given expression.

2x (x + 3y) +5 (2x - 2)

We simplify above expression.

2x (x + 3y) +5 (2x - 2)

= [(2x × x) + (2x × 3y)] + [(5 × 2x) - (5 × 2)]       ......(distributive property)

= [2x² + (2 × 3)xy] + [(5×2)x - 10]               ............(commutative property)

= (2x² + 6xy) + (10x - 10)

= 2x² + 6xy + 10x - 10

= 2x² + 10x + 6xy - 10     ...........(by commutative property of addition)

when given expression simplified completely then it would be,

2x (x + 3y) +5 (2x - 2) = 2x² + 10x + 6xy - 10    

The number of terms in an expression 2x² + 10x + 6xy - 10 are 4

Learn more about an expression here:

https://brainly.com/question/30091997

#SPJ4

Answer:6

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The HCF of the polynomials x^6 + 3x^4 + 3x^2 + 1 and x^3+3x^2 + 3x + 1 is 1

When we divide the polynomials f(x) / g(x) then we get f(x) = g(x) × q(x) + r(x). Assuming the degree of g(x) > degree of r(x).

If the remainder r(x) is zero, then q(x) is the highest common factor of polynomials.

Here, we have been given two polynomials x^6 + 3x^4 + 3x^2 + 1 and x^3+3x^2 + 3x + 1

Let  f(x) = x^6 + 3x^4 + 3x^2 + 1 and  g(x) = x^3 + 3x^2 + 3x + 1

We can write these polynomials as:

f(x) = x^6 + 3x^4 + 3x^2 + 1

f(x) = (x² + 1)^3

The factors of polynomial  f(x) = x^6 + 3x^4 + 3x^2 + 1: 1 and  (x² + 1)^3

And g(x) = x^3 + 3x^2 + 3x + 1

g(x) = (x + 1)^3

And the factors of g(x) = x^3 + 3x^2 + 3x + 1 : (x + 1)^3 and 1

Therefore, the HCF of the polynomials f(x) and g(x) = 1

Learn more about the polynomial here:

https://brainly.com/question/28936357

#SPJ4

Answer:

Step-by-step explanation:

8) D

9) B

 As per Given data,

The month in which the balance of two bank accounts A is become equal to the balance of account B is 30thmonths,

Unknown variables are used to find the unknown values of the problem using the algebraic expressions.

Month       Account A        Account B

 0                    $ 100                 $ 250  

  1                    $ 125                 $ 270

  2                   $ 150                 $ 290

Clearly

The amount in account A is growing with $25 each month. Thus, the amount in this account in nth month is,

100+25[tex]n[/tex]

The amount in account B is just growing with $20. Thus, the amount in this account in nth month is,

250+20[tex]n[/tex]

x month

balances of two

account becomes equal,

then

100 + 25x =250 + 20x

25x - 20x = 250 - 100

5x = 150

x =30

Therefore, in 30th month balance of account A equal to balance of account B

For more questions on unknown variable here: https://brainly.com/question/22489606

#SPJ4

Q. The table shows the balances of two bank accounts for 3 months. In 30th month will the balance of account A be equal to the balance of account B?

Month       Account A      Account B

   0               $100                $250

    1               $125                 $270

    2              $150                 $290

Answer:

the y-intercept is 27 sorry thats all i know but i belive the slope would be 9/8

Step-by-step explanation:

Answer:

y = m x + b

y= -8/9x -3

Step-by-step explanation:

Assuming segments that appear to be tangent are tangent, sqrt(277) = x has an estimated value of 16.64331698.

The Pythagorean Theorem, often referred as the Mathematics, is the fundamental Euclidean geometry relationship among the three sides of a right triangle. The area of a squares with the equilateral triangles side is the sum of the surfaces of square with the other two sides, according to this rule. The Pythagorean Theorem says that the square that spans a right triangle's hypotenuse opposite the perfect angle equals the sum of the squares that span its sides. It is sometimes written as the generic algebra notation a2 + b2 = c2.

given

14 is tangent to the circle and 9 is a radius, making this a right triangle.

In order to resolve this issue, we can employ the Pythagorean theorem.

a^2 +b^2 =c^2

9^2+14^2 =x^2

81+196 = x^2

277 = x^2

Taking the square root of each side

sqrt(277) = sqrt(x^2)

sqrt(277) =x

Assuming segments that appear to be tangent are tangent, sqrt(277) = x has an estimated value of 16.64331698.

To know more about Pythagorean theorem visit:

https://brainly.com/question/14930619

#SPJ1

Answer: C) 44 degrees

Step-by-step explanation:

44

Answer:

$22

Step-by-step explanation:

27.50 20 present off so you get 5.5 substract and u get 22

The odds against Arjun taking the longest trail are 4 : 9 .

The probability that when Arjun is hiking from the mountain lodge to the nearby summit, he takes the longest trail, is 5 / 9.

This means that the odds that Arjun will not take the longest trail, or rather, the odds against him taking the longest trail, will be the difference between 1 and the probability that he takes the longest trail:

= 1 - 5 / 9

= 4 / 9

When given as a ratio, this would be:

=  4 : 9

Find out more on probability at https://brainly.com/question/15188066

#SPJ1

Answer:

n o

Step-by-step explanation:

I refuse to help. punish me and put me in the toilet

jk lol

Answer:

i throw u in a toilet

Step-by-step explanation:

now u in a toilet

Answer: the answer is B

Step-by-step explanation: regional managers fuel

Answer:

B. Regional manager's fuel

Step-by-step explanation:

Just did test

Answer:

= 69

Step-by-step explanation:

Combine multiplied terms into a single fraction, Distribute, then Multiply all terms by the same value to eliminate fraction denominators.

1) 5/9 ( y + 3 ) = 40 or 5(y + 3) / 9 = 40

2) 5y + 15 / 9 = 40

3) 9 ( 5y + 15 / 9) = 9 40

Answer:

i think it's reflection followed by translation

Step-by-step explanation:

Answer:

step 1) glide translation of EFG by one unit to the left and 2 units down

step 2) reflection over the x-axis

Step-by-step explanation:

3y + 2 = 2y - 5x

3y - 2y = -5x -2

y = -5x - 2

The simplified ratio that compares 5 meters to 100 centimeters is 5: 1 .Option A

Ratio is simply described as the non equal comparison of two numbers, variables, or events.

It shows how many times a number or variable contains another.

The comparison is also based on size.

From the information given, we have;

5 meter to 100 centimeters

It is important to note that;

100 centimeters = 1 meters

Also, 1 meter= 100 centimeters

5 meters = x centimeters

cross multiply

x = 100(5)

Multiply the values

x = 500 centimeters

Then,

5 meters = 1 meter

Hence, the ratio is 5:1

Learn more about ratio here:

https://brainly.com/question/2328454

#SPJ1

Answer:

50.3

Step-by-step explanation:

[tex]\pi {r}^{2} \times h[/tex]

[tex]4\pi \times 4 = 50.3[/tex]

Answer:

7/10 and 5/7 the ratio does not form a proportion

The general formula for logarithms is [tex]log_b(x) = y[/tex].

What is a logarithmic function?

A logarithmic function is a type of mathematical function that expresses the power to which a given number (the base) must be raised in order to produce a certain value. It is typically written in the form: [tex]f(x) = log_b(x),[/tex] where b is the base of the logarithm.

The general formula for logarithms is:

[tex]log_b(x) = y[/tex]

This means that b raised to the power of y is equal to x.

Where b is the base of the logarithm, x is the number that we are taking the logarithm of, and y is the result or the logarithm of x to the base b.

Hence, the general formula for logarithms is [tex]log_b(x) = y[/tex].

To learn more about the logarithmic functions, visit:

https://brainly.com/question/13473114

#SPJ4

The general formula for logarithms is [tex]log_b(x)=y[/tex].

What is a logarithmic function?

A logarithmic function is a type of mathematical function that expresses the power to which a given number (the base) must be raised in order to produce a certain value. It is typically written in the form: [tex]f(x)=log_b(x)[/tex] where b is the base of the logarithm.

The general formula for logarithms is:

[tex]log_b(x)=y[/tex]

This means that b raised to the power of y is equal to x.

Where b is the base of the logarithm, x is the number that we are taking the logarithm of, and y is the result or the logarithm of x to the base b.

Hence, the general formula for logarithms is [tex]log_b(x)=y[/tex].

To learn more about the logarithmic functions, visit:

brainly.com/question/13473114

#SPJ4

Yes the product of two perfect squares is always a perfect square, But the quotient of two perfect squares is not always a perfect square.

A perfect square is a number that can be expressed as the product of an integer multiplied by itself.

Examples of perfect squares include 4 (2*2), 9 (3*3), and 25 (5*5).

The quotient is the result obtained after performing division of one number by another. It is the number of times that the divisor can be subtracted from the dividend until the remainder is smaller than the divisor.

The product of two perfect squares is always a perfect square because the root of the products is equal to the product of roots as shown below,

let us take the two perfect squares 4 and 9, so the square root of 4*9 is,

[tex]\sqrt{4*9} =\sqrt{4} *\sqrt{9} \ =2*3=6[/tex]

But , the quotient of two perfect squares is a perfect square,

When we divide two perfect squares we are not always going to get a quotient that can be represented as the square of an integer. For example, (36/16) = 9/4 which is not a perfect square.

However, if the numerator and denominator in the quotient are the same perfect square then the quotient will be 1 which is a perfect square.

To learn more about perfect square visit:

https://brainly.com/question/385286

#SPJ1

The provided function, f(x)=(.8)^x, has a 20% rate of decay.

A rise in the resultant quantity for a given quantity is referred to as exponential growth, and a decrease in the resultant quantity for a given quantity is referred to as exponential decay.

given, a function  f(x)=(.8)^x. To calculate the decay rate of this function.

The exponential decay formula aids in determining the exponential drop, which is a rapid reduction over time. To calculate population decay, half-life, radioactivity decay, and other phenomena, one uses the exponential decay formula. F(x) = a (1 - r)x is the general form.

Where

a = the initial amount

1-r is the decay factor

x = time span

from the given expression,

Decay factor = 0.8

That is also equal to 1 - r

1 - r = 0.8

r  =0.2

Thus, rate of decay = r * 100%

rate of decay = 0.2 * 100 = 20%

therefore, The rate of the  of the given function  f(x)=(.8)^x is 20%.

Learn more about the rate of decay here:

https://brainly.com/question/30068164

#SPJ1

The perimeter of ΔAEB is 18.5 feet.

A triangle's other two sides are divided in the same proportion if a line drawn parallel to either one of its sides intersects the other two sides at two different spots.

As,  side AB║DF hence we will use Triangle Proportionality theorem to calculate the length of side AE.

Since, AE/AD = EB/ BF

AE/2 = 7.2/8.4

AE = 6.5 feet

So, the perimeter of ΔAEB is

= AE + EB + BE

=6.5+4.2+7.8

=18.5 ft.  

Hence, the perimeter  is 18.5 feet.

Learn more about Triangle Proportionality theorem here:

https://brainly.com/question/9315367

#SPJ1

Answer:

69%

Step-by-step explanation:

There are 42 teachers who work in a school. On Monday, 29 teachers were present. The percentage of the teachers that showed up for work will be:

= 29 / 42 × 100

= 69%

Answer:

Step-by-step explanation:

In any case where you're asked, "what percentage of A is B?" you can simply divide the number B by the A. The decimal you get is the answer. for example, if you're being asked what percentage 12 is of 25, you just divide 12 by 25 to get 0.48, which translates to 48 percent. in your case, 29/42 is 0.69 (rounded down from 0.6904761905) which equals 69%.

In a case where B is larger than A, you still do the same, only with the addition of the whole number. Ex: what percentage of 25 is 86?

86/25 is 3.44, so your answer is 344%.

Hope this helped :)

The product for the given polynomial is [tex]8y^5 + 6y^4 + 20y^3.[/tex]

When multiplying two polynomials, it is important to keep track of the exponents of each term. The exponents will determine the degree of the resulting polynomial. To find the product, you multiply each term of the first polynomial by each term of the second polynomial, then combine like terms.

In this case, the first polynomial is 4y^3 and the second polynomial is 2y^2 3y 5. To find the product, you would multiply 4y^3 by 2y^2, 4y^3 by 3y, and 4y^3 by 5. This would give you 8y^5, 12y^4, and 20y^3. Since these are the only terms in the product, you simply add them together to get the final answer of [tex]8y^5 + 6y^4 + 20y^3.[/tex]

Learn more about Polynomials here:

https://brainly.com/question/15702527

#SPJ4

Answer:

The volume formula is pi r^2h because it is similar to the formula to the area of a circle with an extra addition of the height variable, since a cylinder is just a circle with depth. The surface area formula is 2pirh +2pi r^2 because it measures the area of both circles as well as the depth. This formula is similar to the circumference formula of a circle.

Step-by-step explanation:

Mark me brainliest pls

There are [tex]7\frac{1}2}[/tex] grams on the scale in all once she added 2 5/6 grams to the scale.

The International System of Units (SI) is the modern form of the metric system and is the most widely used measurement system in the world. It consists of seven basic units of seven basic quantities.

Length is the meter, mass is the kilogram, time is the second, electric current is the ampere, temperature is the kelvin, amount of matter is the mole, and luminosity is the cand. SI also includes derived units such as Newton (force) and Pascal (pressure), which are combinations of base units. SI is the standard measurement system in most countries around the world and is used in scientific, engineering, and commercial applications.

Given,

initial weight = [tex]4\frac{2}{3} = \frac{14}{3}[/tex]

Final weight = [tex]2\frac{5}{6} = \frac{17}{6}[/tex]

Final weight = [tex]\frac{14}{3} + \frac{17}{6} = \frac{45}{6} = \frac{15}{2} = 7\frac{1}{2}[/tex]

To know more about SI system visit:-

https://brainly.com/question/13501946

#SPJ4

Answer: Fri: 87.5

Sat: 105

Sun: 52.5

Total: 245

Step-by-step explanation: You multiply each lawn she mowed by 17.5