Two people push against a 113 kg refrigerator in opposite directions with forces of 140 N
and 190 N, respectively.
What would be the resulting acceleration of the refrigerator

Answer:

$57.51

Step-by-step explanation:

If the price of a sweater was $37.38 after a 35% discount, what was the original price? Round your answer to the nearest cent.

The formula for the original price =

= Sales price/1 - Percentage discount

Percentage discount = 35% = 0.35

Original price = $37.38/1 - 0.35

= $37.38/0.65

= $57.507692308

Approximately = $57.51

Therefore, the original price H= $57.51

Answer:

Step-by-step explanation:

p=4

Q=2

plot an x onto the 4 on th y line and a 2 on the x line

then draw a horizontal line with the ruler provided through 4 and 2

hope it helps :)

The solution to the equations are

a) The coordinates of point P is P ( 0 , 4 ) and Q is Q ( 2 , 0 )

b) The graph is plotted with points P and Q

c) The equation of line is 4x + 2y = 8

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

4x + 2y = 8   be equation (1)

Now , the coordinates of the point P = P ( 0 , y )

The coordinates of the point Q = Q ( x , 0 )

Substituting the values in the equation , we get

when x = 0

4 ( 0 ) + 2y = 8

2y = 8

y = 4

So , the coordinates of the point P = P ( 0 , 4 )

when y = 0

4x + 2 ( 0 ) = 8

4x = 8

x = 2

So , the coordinates of the point Q = Q ( 2 , 0 )

Now , the equation of line is 4x + 2y = 8

when x = { -2 , -1 , 0 , 1 , 2 , 3 }

The values of y are y = { 8 , 6 , 4 , 2 , 0 }

So, the line is plotted in the graph

Hence , the equation of line is 4x + 2y = 8

To learn more about equation of line click :

https://brainly.com/question/14200719

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Answer:

[tex]h= 2x[/tex]

Step-by-step explanation:

Given

Square

[tex]Side = x[/tex]

Triangle

[tex]Base = x[/tex]

[tex]Altitude = h[/tex]

Required

Find h, if both shapes have the same area

The area of the square is:

[tex]Area = x * x[/tex]

[tex]Area = x^2[/tex]

The area of the triangle is:

[tex]Area = \frac{1}{2} * Base*Height[/tex]

[tex]Area = \frac{1}{2} * x*h[/tex]

Equate both areas

[tex]x^2 = \frac{1}{2} * x*h[/tex]

Divide both sides by x

[tex]x = \frac{1}{2} *h[/tex]

Multiply both sides by 2

[tex]2*x = \frac{1}{2} *h*2[/tex]

[tex]2x = h[/tex]

[tex]h= 2x[/tex]

Answer: ummmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm WHAT IS THIS!!!!!!!!!!!!!! THIS IS NOT MATH I MEAN IT COLD BE AND WHAT GRADE MATH IS THIS!!!!!!!!!!!!!!!!!!!!!!!!

*_*

Step-by-step explanation:

Given:

A rectangular piece of land has an area of [tex]\dfrac{3}{4}[/tex] square mile.

The land is [tex]2\dfrac{1}{2}[/tex] miles long.

To find:

The width of the rectangular land.

Solution:

We have,

Area of a rectangle =  [tex]\dfrac{3}{4}[/tex] square mile.

Length = [tex]2\dfrac{1}{2}[/tex] miles

We know that, area of a rectangle is

[tex]A=l\times b[/tex]

[tex]\dfrac{3}{4}=2\dfrac{1}{2}\times b[/tex]

[tex]\dfrac{3}{4}=\dfrac{2(2)+1}{2}b[/tex]

[tex]\dfrac{3}{4}=\dfrac{5}{2}b[/tex]

Multiply both sides by [tex]\dfrac{2}{5}[/tex], we get

[tex]\dfrac{2}{5}\times \dfrac{3}{4}=\dfrac{2}{5}\times \dfrac{5}{2}b[/tex]

[tex]\dfrac{6}{20}=b[/tex]

[tex]\dfrac{3}{10}=b[/tex]

Therefore, the width of the land is [tex]\dfrac{3}{10}[/tex] miles.

Answer:

$4,675

Step-by-step explanation:

The commission is 5.5% of $85,000.

5.5% * $85,000 =

= 0.055 * $85,000

= $4,675

Answer:

$4675

Step-by-step explanation:

85,000 x .055 = 4,675

Hope that helps!

Answer:

35

Step-by-step explanation:

14+21=7(2+3)=7(5)=35

Answer:

14+21= 35

Step-by-step explanation:

Answer:

56

42

35

Step-by-step explanation:

Answer:

Attached

Step-by-step explanation:

Answer:

[tex]120x^4\sqrt{2}[/tex]

Step-by-step explanation:

First we need to break down the numbers in the radicals into its factors

so

12= 3*2*2

x³=x*x*x

Which means we have

[tex]10\sqrt{3*2*2*x*x*x}=20x\sqrt{3x}[/tex]

and

[tex]2\sqrt{2*3*x*x*x*x*x} =2x^{2} \sqrt{6x}[/tex]

Because the radicand (the small number that goes up top) are the same we can just mulitply the two from here

which means we have

[tex](20x*2x^2)\sqrt{3x*6x}=40x^3\sqrt{18x^2} \\\sqrt{18x^2}=\sqrt{2*3*3*x*x} =3x\sqrt{2} \\=120x^4\sqrt{2}[/tex]

Answer:

The numbers are 2 and 3. 2^2+3^2=4+9=13

Step-by-step explanation:

Answer:

13 is your answer.

let two no. be x and y

by question

x+y=5

x=5-y...........(1)

xy=6.............(2)

putting the value of x in equation 2) we get

(5-y)y=6

5y-y²=6

y²-5y+6=0

y²-3y-2y+6=0

y(y-3)-2(y-3)=0

(y-3)(y-2)=0

either

y=3

or

y=2

putting the value of y in equation 1

when y=3

x=5-3=2

when

y=2

x=5-2=3

now

when

x=3 y=2

the sum of the square of the numbers=x²+y²=3²+2²=9+4=13

Answer:

The anwer is below.

Step-by-step explanation:

To calculate mean a.k.a average of something is when you add all of the numbers in the set and then multiply by the number of numbers there were.

an example : 4, 5,6,7 = 4+ 5 + 6 + 7 + 3 = 25 divided by 5 ( the number of numbers there were ) which is 5 so the mean is 5

To calculate the median you have to organize the set of numbers from least to greatest choose the middle number and that's the median, If there is an even number of numbers in the set then you add the two middle numbers and divide it by 2.  

an example : 5,7, 8, 4 =  4, 5, 7 , 8 = the middle numbers = 5 + 7 = 12 divided by 2 = 6

To calculate the mode you have to see which numbers comes more often in the set of numbers, If there are two different numbers that come often even if one is higher include them in the mode.

An example - 5,6,6,6,6,7,7,7. The mode in this is 6 but 7 comes often to so if your teacher tells you to include more than one mode in these kinds of situation you include 7 or in general you don't have to

To calculate the range you choose the greatest and the lowest numbers and substract the highest to the lowest number in the set.

An example  5, 6, 7 , 9 , 8 = 9 ( the highest number in this set) - ( substraction) 5 ( the lowest number in this set) and 9 - 5 = 4 so the range is 4

Answer:

86

Step-by-step explanation:

add up all the scores then divide by the amount of test taken. total test score is 516, total test is 6 so 516÷6=86

Answer:

8

Step-by-step explanation:

i did that answer and i got it right

Answer:

1 is the answer to your question mate

Answer:

4x²y² + 20xy² + 25y²

Step-by-step explanation:

(a + b)² =  a² + 2ab + b²

a = 2xy   ; b = 5y

(2xy +5y)² = (2xy)² + 2*(2xy) * (5y)  +(5y)²

                 = 2²x²y² + 2* 2* 5 * x*y*y + 5²*y²

                =4x²y² + 20xy² + 25y²

Answer:

C. Keeping track of your debit card transactions will help avoid charges resulting from insufficient funds.

Step-by-step explanation:

Correct on TTM

Answer:

C

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

When you divide two negative numbers, the answer is positive. Since - 15 and -5 are both negative, the answer will have to be positive. Divide 15/5 (just as you would with postive numbers) to get 3 and don't do anything else. The answer has to be 3 because 3 * - 5 = -15 (the opposite of division is multiplication).

Other division rules:

Answer:

n = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

-41 = -2/5(45n + 60) + n

Step 2: Solve for n

Step 3: Check

Plug in n into the original equation to verify it's a solution.

Here we see that -41 does indeed equal -41.

∴ n = 1 is the solution to the equation.

Answer:

thirty two multiplied by one fourth equals eight

Step-by-step explanation:

Answer: f(x)= -3x 2 -5x +8

Step-by-step explanation:

9514 1404 393

Answer:

  12 cm

Step-by-step explanation:

The distance to the chord is the median of an isosceles right triangle with hypotenuse 20 and leg 16. This 5:4 ratio suggests the other leg of that right triangle would make the ratios 3 : 4 : 5, so is 12.

The chords are 12 cm from the center.

_____

You can, of course, use the Pythagorean theorem. If c is half the chord length and d is the distance to the chord, you have ...

  c² + d² = r²

  16² + d² = 20²

  d² = 400 -256 = 144

  d = √144 = 12 . . . . . cm

Answer:

1) f(x) = 0.5*(x + 3)*(x - 4)

2) f(x) = -2*x^2 - 2*x + 12

Step-by-step explanation:

Wen we have a quadratic function like:

f(x) = a*x^2 + b*x + c*x

And it has roots at x1 and x2, we can write the function in the factored form as:

f(x) = a*(x - x1)*(x - x2)

then:

1) we have x-intercepts at: (-3, 0) and (4, 0) (then the roots of this function are x = -3 and x =4) and we know that f(1) = -6

we have:

x1 = -3

x2 = 4

then we can write f(x) as:

f(x) = a*(x - (-3))*(x - 4)

f(x) = a*(x + 3)*(x - 4)

Where a is a real number.

and now we can use the fact that f(1) = -6

then:

f(1) = a*(1 + 3)*(1 - 4) = -6

       a*4*(-3) = -6

       a*-12 =  -6

       a = -6/-12 = 1/2 = 0.5

Then the function is:

f(x) = 0.5*(x + 3)*(x - 4)

2) Now we have roots x = 2 and x = .3

Then:

x1 = 2

x2 = -3

Then this function is something like:

f(x) = a*(x - 2)*(x - (-3))

f(x) = a*(x - 2)*(x + 3)

Now we know that f(0) = 12.

then:

f(0) = a*(0 - 2)*(0 + 3) = 12

         a*(-2)*3 = 12

          a*(-6) = 12

          a = 12/-6 = -2

f(x) = -2*(x - 2)*(x + 3)

And we do not want this one written in factored form, so we can just distribute the multiplications to et:

f(x) =  -2*(x - 2)*(x + 3) = (-2*x + 4)*(x + 3) = -2*x^2 + 4*x - 6*x + 12

f(x) = -2*x^2 - 2*x + 12

Answer:

D.6h+18

Step-by-step explanation:

Answer: k = -8.66

Step-by-step explanation:

We have the equation:

k*x + 5*y = 10

First, let's rewrite this as a line in the slope-intercept form:

5*y = 10 - k*x

y = 10/5 - (k/5)*x

y = -(k/5)*x + 2

Now, we want to make an angle of 30° with respect to the y-axis.

Then we can think on a triangle rectangle, where we know one angle of 30°, the adjacent cathetus will be equal to the difference between the y-component and the y-intercept, and the opposite cathetus will be equal to the x-component.

To get this, we first need to evaluate the function in one given point, let's use x = 5. (we could use any value of x here, i use 5 because it is easier)

y = -(k/5)*5 + 2

y = -k + 2

then the cathetus of our triangle will be:

adjacent cathetus: (y - 2) = (-k + 2 - 2) = -k

opposite cathetus: x = 5.

Now we know the relation:

Tan(a) = (opposite cathetus)/(adjacent cathetus)

where a = 30°

Then:

Tan(30°) = 5/(-k)

-k = 5/tan(0.577) = 8.66

k = -8.66

This is the value of k that we wanted to find.

Answer:

hiiiiii girlyyy

Step-by-step explanation:

i think the answer is

a/b like a divided by b is the answer

cuz 8 ÷ 3 = 2.7

and 24 ÷ 9 = 2.7

and 40 ÷ 15 = 2.7

so maybe like

b · 2.7 = a

hope this helpsss

Answer:

well on side A, it starts off on 8 (as you can see) and adds 16, which gives you 24, then add another 16 and that gives you 40. Then on side B, it starts with 3, adds 6 which gives you 6, then add another 6 and you'll have 15.

Step-by-step explanation: