A store pays $81 for a hockey stick and marks the price up by 5%. What is the amount of the mark-up?

Answer:  x= -8  or x = 1/2

Step-by-step explanation:

2x^2 + 15x = 8      Subtract 8 from both sides to let the whole equation equal 0

            - 8     -8

2x^2 + 15x - 8 = 0      Now find two numbers that if you multiply them, their product will be -16 and their sum will be 15. An example is the numbers 16 and -1.     16 times -1 is -16  and 16 plus -1 is 15.

Rewrite the whole equation in this form,

2x^2 +16x - 1x - 8 = 0      Factor on the left side

2x ( x + 8)  -1 (x + 8) = 0     Now factor out x + 8

(x + 8) (2x -1) = 0            Set each expression equal zero, because for the whole expression to equation to 0, either one of them or all of them have to equation zero.

x + 8 = 0        or   2x - 1 = 0  

  -8     -8                     +1  +1

   x = - 8                  2x  = 1

                                 x = 1/2

Given :

A farmer has 300 feet of fence available to  enclose a 4500 square foot region in the  shape of adjoining squares, with sides of  length x and y.

The big square has sides of  length x and the small square has sides of   length y.

To Find :

The value of x and y.

Solution :

From attached figure perimeter is given by :

x + x + x + y + y + y + ( x-y ) = 300 ft

4x + 2y = 300

2x + y = 150  ...1)

Now, area is given by :

A = x² + y²

x² + y² = 4500  ...2)

Putting value of y in equation 2), we get :

[tex]x^2 + ( 150 - 2x)^2 =4500\\\\x^2 + 4x^2 + 22500-600x =4500\\\\5x^2 -600x + 18000=0\\\\x^2 - 120x +3600=0\\\\x^2-2\times x\times 60 + 60^2 =0\\\\(x-60)^2 =0\\\\x = 60\ ft[/tex]

y = 150 - ( 2× 60 )

y = 30 ft

Therefore, the value of x and y is 60 ft and 30 ft respectively.

Answer:

Step-by-step explanation:

step one:

given data

Bob's  monthly salary is $1510

tax= 6.45%

Required

The deduction and his take-home salary

Step two:

let us compute the deduction

=6.45/100*1510

=0.0645*1510

=$97.4

Let us compute his take home

=monthly salary- tax deduction

=$1510-$97.4

=$1412.6

Answer:

y= 1/2x+2

Step-by-step explanation:

I hope it's right!

Answer:

the slope intercept form is y=1/2x+2

the answer is b&d. hope that helps!

Answer:

The answer is simple it would be the 3rd one(2nd row to the left)

Answer:

4

Step-by-step explanation:

Simplifying

5a + -4 = 2a + 8

Reorder the terms:

-4 + 5a = 2a + 8

Reorder the terms:

-4 + 5a = 8 + 2a

Solving

-4 + 5a = 8 + 2a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-2a' to each side of the equation.

-4 + 5a + -2a = 8 + 2a + -2a

Combine like terms: 5a + -2a = 3a

-4 + 3a = 8 + 2a + -2a

Combine like terms: 2a + -2a = 0

-4 + 3a = 8 + 0

-4 + 3a = 8

Add '4' to each side of the equation.

-4 + 4 + 3a = 8 + 4

Combine like terms: -4 + 4 = 0

0 + 3a = 8 + 4

3a = 8 + 4

Combine like terms: 8 + 4 = 12

3a = 12

Divide each side by '3'.

a = 4

Simplifying

a = 4

Answer:

|x - 42.80| = 12

Step-by-step explanation:

The absolute value |x - a| = b means either x - a = b or x - a = -b

Let x represent the amount of money in the afternoon after he has either paid her back or she has paid him.

Given that he has $42.80 in his wallet and he either borrowed $12 from his friend Rita or she borrowed $12 from him. Therefore:

x = 42.80 + 12; or x = 42.80 - 12

Hence:

x - 42.80 = 12; or x - 42.80 = -12

|x - 42.80| = 12

Answer:

as a fraction it is 3/8 and as a decimal it is 0.375

Step-by-step explanation:

The given equation is 125+37.52x=y, where y is the total amount of dollars and x is the number of weeks

This equation can be re-write as y=37.52x+125

Yes, this equation is in slope-intercept form y=mx+c having a slope, m=37.52 and the intercept, c=125.

Now, check the units,

In equation y=mx+c, units of all the three terms, i.e y, mx and c, are same.

As given that unit of y is dollar, so the unit of c is dollar and unit of [tex]mx[/tex] is also dollar.

As the unit of [tex]mx[/tex] is dollar, so the unit of m is dollar/unit of x.

As given that the unit of x is week, so the unit of m is dollar/week.

Therefore, the y-intercept, c= 125 dollars, and m=37.52 dollar/week.

The unit of the slope is dollars/week, so, the slope of the equation represents the rate of change of money in the wallet per week.

From the graph of the equation, y-intercept, c=125 dollars, is the value of y at x=0 which is the initial amount of money in the wallet.

Answer:

15

Step-by-step explanation: You would think 15. 810 copies every 9, minutes. Nine divided by 810 equals 90. 90 copies every minute. 1,350 divided by 90 is fifteen. =fifteen.

Answer:

y = -1/2 x

Step-by-step explanation:

slope = Δy / Δx

= 4 - 1 / -8 - (-2)

= 3 / -6

m = - 1/2

y = mx + b

1 = (-1/2)(-2) + b

1 = 1 + b

b = 0

eqn of the line : y = -1/2 x

Answer:

lol, u can still ask the question

Step-by-step explanation:

Answer: 18kg

Step-by-step explanation:

Mass is the amount of matter that a particular object has. First and foremost, we should note that a mass is not thesame as weight and that a mass is thesame everywhere.

In this scenario, since the mass of the object on Earth is 18kg, the mass of the same object on the Moon will slow be 18kg. The mass will not change.

Answer:

3.70 The difference is 33.30

Step-by-step explanation:

Answer

Step-by-step explanation  find the roots of the equation by solving for x

Answer: Exact Form:

m

=

31

12

Decimal Form:

m

=

2.58

¯

3

Mixed Number Form:

m

=

2

7

12

Step-by-step explanation:

Answer:

im almost postive the one you marked is correct

Step-by-step explanation:

Answer:

The second one

Step-by-step explanation:

When you elevate by 3 you get:

[tex]\sqrt[3]{g}^{3} = g[/tex]

Hope this helps, have a good day

Answer:

1,2,4,8

Step-by-step explanation:

8/1=8

8/2=4

8/4=2

2 and 4

Factors are the numbers that can be multiplied together to equal 8, not including the number and/or 1. In this case, the only numbers are 2 and 4, because 2x4=8

Answer:

0.360

Step-by-Step Explanation:

The equation to find B is as follows:

B = R * (sy/sx)

All of those values are given to you in-question. It’s a matter of plugging in the material and following PEMDAS. For this, the equation becomes; 0.92 x (128.4/327.8), which pans out to be 0.360.

Hope this helped.  

Answer:

2    4     6      8       10

1     2    3      4       5

Step-by-step explanation:So if it's filling up 2 gallons per minute then you would multiply  2x2=4 3x2=6 4x2=8 and 5x2=10. So you would multiply every minute by 2.

Answer:

2(+2)(+3)

Step-by-step explanation:

Answer:

[tex]\huge\boxed{ \sf 2x (x+3)(x+2)}[/tex]

Step-by-step explanation:

[tex]\sf =2x^3+10x^2+12x\\\\Take \ 2x \ common\\\\=2x(x^2+5x+6)\\\\By \ mid-term \ break \ formula\\\\=2x(x^2+3x+2x+6)\\\\=2x[x(x+3)+2(x+3)]\\\\Take \ (x+3) \ common\\\\= 2x (x+3)(x+2)\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

D

Step-by-step explanation:

At least = Less than sign

At most = Greater than sign

Both include the -6 and 9. (Closed dots)

Answer:

3

Step-by-step explanation:

26 and 33 both divisible by 3

The greatest common factor of 27 and 33 is 3.

A number system is defined as a system of writing to express numbers.

We need to find the greatest common factor of 27 and 33.

GCF of twenty seven and seventy three.

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.

The factors of 27 are 1, 3, 9 and 27.

One , three , nine and twenty seven because 27 is divisible by the numbers.

The factors of 33 are  1, 3, 11 and 33.

One, three, eleven and thirty three because 33 is divisible by these numbers.

The highest common factor 27 and 33 is 3

Hence, the greatest common factor of 27 and 33 is 3.

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ2

Answer:

23.83......the 6 is greater than 5 so the 2 turns 3

Step-by step

Step-by-step explanation:

the answer is 1 and a half hours