Simplify the expression (4/3)(3/7)

The solution of the system of equations is (2, 4, 5)

The given equations are :

3x+10y-12z = 40    equation(1)

x-5y = 0     equation (2)

x-4z = 0      equation(3)

From 2nd equation, x -5y = 0, 5y = x, y = x/5

From 3rd equation, x -4z = 0, 4z = x, z = x/4

Putting the values of y and z in equation (1), we get :

[tex]3x +10y -12z = 40\\\\3x +10*\frac{x}{5} -12*\frac{x}{4} = 40\\\\3x +2x -3x =40\\\\2x = 40\\\\x = \frac{40}{2} = 20[/tex]

Now, putting the value of x = 20 to evaluate y and z, we have,

y = 20/5 = 4

and z = 20/4 = 5

Hence, the solution of the system of equations is (2, 4, 5)

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The portion of the original price that has been deducted to get the clearance price is D. 0.85

Given that the the prices on a clearance rack of merchandise are 0.62 of the original price and that the sign on the clearance rack states that an additional 23% of the original price will be taken off at checkout.

Therefore, the prices deducted will be:

= 0.62 + 23%

= 0.62 + 0.23

= 0.85

In conclusion, the correct option is D.

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To complete the given series 9, 70 , 499, 2488, 7469 the next number is given by 7466.

As given in the question,

Given series is equal to :

9, 70 , 499, 2488, 7469

Simplify the given series to get the next sequence number we have:

Pattern of the given series is given by:

9  

70 = 9 × 9 -11

    = 70

499 = 70 × ( 9 -2 ) + ( 11 - 2 )

      = 70 × 7 + 9

      = 499

2488 = 499 × ( 7 - 2 ) - ( 9 - 2 )

         = 499 × 5 - 7

         = 2488

7469 = 2488 × ( 5 - 2 ) + ( 7 -2 )

        = 2488 × 3 + 5

        = 7469

Next number is :

7469 × ( 3 - 2 ) - ( 5- 2 )

= 7469 × 1 -3

= 7466

Therefore, to complete the given series 9, 70 , 499, 2488, 7469 the next number is given by 7466.

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Answer:

3+4x>-5

4x>-5-3

4x>-8

x>-8/4

x> -2

Answer: y = 5x - 3

Step-by-step explanation:

It is a line, so its formula is y = mx + b.

         [tex]y=5x+b\\7=5(2)+b\\7=10+b\\b=7-10=-3[/tex]

Therefore, the formula is y = 5x - 3.

Answer:

y=5x-3

Step-by-step explanation:

Answer:

Todd's conclusion is logical. I know this because all people named Todd are logical beings who always come to logical conclusions. But seriously though, please comment down below more of your question so I can accurately answer it, thanks!

Step-by-step explanation:

(MAKE BRAINLIEST IF I HELPED)

Answer:

x=10

Step-by-step explanation::

We can use Triangle angle bisector theorem and proportions to solve this problem.  We put the small triangle side over the large triangle side

8           x+4

------ = ------------

12          2x+1

Using cross products

8(2x+1) = 12(x+4)

16x+8 =12x+48

Subtract 12x from each side

16x-12x +8 = 12x-12x+48

4x+8 = 48

Subtract 8 from each side

4x+8-8 = 48-8

4x = 40

Divide by 4

4x/4 = 40/4

x = 10

Answer:

x=10

Step-by-step explanation:

to get the slope of any straight line, we simply need two points off of it, let's use those two from the picture below

[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{6}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{(-3)}}} \implies \cfrac{-4}{-1 +3} \implies \cfrac{ -4 }{ 2 } \implies - 2[/tex]

The derivative of given function is H’(t) = 3 – 2/t3

A derivative is a two-party contract whose value/price is derived from an underlying asset. Futures, options, forwards, and swaps are the most prevalent types

Given that H(t)= t+ 1/t^2+2t+2

We must calculate the derivative

H(t)= t+ 1/t^2+2t+2

H(t) = 3t + 1/t^2 + 2

H’(t) = d/dt(3t + 1/t^2 + 2)

H’(t) = d/dt(3t) + d/dt (1/t^2) + d/dt ( 2)

H’(t) = 3xd/dt(t) + d/dt (1/t^2) + d/dt ( 2)

H’(t) = 3xd/dt(t) + d/dt (t-2) + d/dt ( 2)

H’(t) = 3 – 2t-3

H’(t) = 3 – 2/t3

Therefore the derivative of the given function is H’(t) = 3 – 2/t3

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Since there are 60 inches in 5 feet (5*12), we know that it will take 20 hours for 5 feet of snow to accumulate (60/3).

Hope this helps!

The represent possible side lengths of perimeter is 8;8√3;24.

What is perimeter?

perimeter is the distance of  around the edge of a shape. Learn how to find of the  perimeter by adding up to the side lenghth of various shapes.

The perimeter is the distance around the object.

Sol-as per the given question the angle value of the triangle is -

7 in

(x+4)in

(4x+1)in

Here,

X+4=4x+1

X=1

Perimeter:- 5+5+7 =

17 Inches.

Thus the perimeter of the triangle is 17 Inches.

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Answer:

The 3rd one

x = 2 means how far is the line from 0

PLEASE GIVE BRAINLIEST THANK YOU!!!

For the given measures of angles of heptagon, the value of x is equal to 27° .

As given in the question,

Sum of all the interior angles of the heptagon is equal to 900.

Given measure of all the angles of the heptagon is given by :

135°+( 5x - 4 )° +( 7x - 64 )° + 120° +( 6x - 8 )° +( 4x + 15 )° + ( 3x + 31 )°= 900°

Arrange all the like terms of the given expression together we get,

⇒ ( 5x + 7x + 6x + 4x + 3x )° + ( 135 - 4 - 64 + 120 - 8 + 15 + 31 )°  = 900°

⇒ 25x° + 225° = 900°

⇒ 25x° = 900° -225°

⇒ 25x° = 675°

⇒ x = 27°

Therefore,  for the given measures of angles of heptagon, the value of x is equal to 27° .

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The number of  turkeys that they sold on Sunday is 90 turkeys

Total number of turkeys = 240

On Sunday, they sold 3/8 of them

The fraction of turkeys they sold on Sunday = 3/8

To find the number of turkeys that they sold on Sunday we have to find the 3/8 fraction of 240

Then,

The number of turkeys that they sold on Sunday = Total number of turkeys × The fraction of turkeys they sold on Sunday

Substitute the values in the equation

The number of turkeys that they sold on Sunday = 240 × 3/8

= 240 × 0.375

= 90 turkeys

Hence, the number of  turkeys that they sold on Sunday is 90 turkeys

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The value of x in  the following equation: 3|x+3|−12=0 is -7 and 1

The equation is 3|x+3|−12=0

The modulus function can be positive and negative

Considering it to be negative,

the equation is

3((-1)(x + 3) - 12

3(-x - 3) - 12

-3x - 9 - 12 = 0

3x + 21 = 0

3x = -21

x = -7

3(x + 3) - 12

3x + 9 - 12

3x - 3 = 0

3x = 3

x = 1

Therefore, the value of x in  the following equation: 3|x+3|−12=0 is -7 and 1

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Answer:

42 points

Step-by-step explanation:

If Brooke scored 27 points, 12 less than that would be what Cienna scored. To find this, you would do 27 - 12. This is equal to 15, so Cienna scored 15 points.

To find how much they scored together, you would add both their scores. Brooke scored 27 and Cienna scored 15, so 27 + 15 = 42. Therefore, they scored 42 points together.

There is only one solution for the equation x - 4 = 0 and the solution is 4.

Equation

An equation also known as the expression consists of variables, number and the mathematical operator that are combined using the equal sign.

Given,

Here we have the equation x - 4 = 0

Now, we need to Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determine two values of x that support your conclusion.

In order to find the solution of the equation, we have to equate the equation with zero and solve it accordingly,

So, the given equation is rewritten as,

x - 4 = 0

Now, we have to move the number to the other side to get the value x, then we get,

x = 4.

Therefore, the equation has only one solution that is 4.

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The probability of drawing the Blue 4 is an example of .R′f.E′

Red cards = 1,2,3

Blue cards =1,2,3,4,5,6

Pr(R) =  Drawing a red card = 3/9 = 1/3

Pr(B)= Drawing a blue card = 6/9 = 2/3

Pr(E) = Drawing an even card = 4/9

Pr(O) = Drawing an odd number card = 5/9

Probability of drawing the blue 4 ? = Pr(blue, 4) = 1/9

From the options

(A) R or O = Pr(R) + Pr(O)  = 1/3 + 1/9 = 8/9 ........(Not equal to 1/9)

(B) B and O = Pr(B) × Pr(O) =  2/3 × 5/9 = 10/21......(Not equal to 1/9)

(C) R or E = Pr(R) + Pr(E) = 1/3 + 4/9 = 7/9.......(Not equal to 1/9)

(D) R and O = Pr(R) + Pr(O) = 1/3 × 5/9 = 5/27.......(Not equal to 1/9)

(E) R'. E' = 1-Pr(R)-1-Pr(E) =

                1-1/3 =2/3- 1-4/9 =5/9

               2/3-5/9 = 1/9......( equal to 1/9).

Hence, the probability of drawing the Blue 4 is an example of .R′f.E′

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Disclaimer: the question given by you is incomplete, the solution is done as per a similiar question which is

A deck of cards contains RED cards numbered 1,2,3 and BLUE cards numbered 1,2,3,4,5,6. Let R be the event of drawing a red card, B the event of drawing a blue card, E the event of drawing an even numbered card, and O the event of drawing an odd card.Drawing the Blue 4 is an example of which of the following events? Select all correct answers.Select all that apply:a.R OR Ob.B AND Oc.R OR Ed.R AND Oe.R′f.E′

The number of adults is 200 and the number of children that entered the carnival after it was opened is 240.

Let a represent the number of adult tickets sold

Let c represent the number of children tickets sold

4a + 2c = 1380

Hence,

a + c = 440

Solving  for c

4 (440-c) +2c = 1280

1760-4c +2c = 1280

-4c+2c = -480

-2c=-480

Divide both side by -2c

c = -480/-2

c = 240 (children tickets)

Solving for a

a =440-c

a =440 -240

a=200 (Adult tickets)

Therefore 240 and 200 tickets were sold.

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The slope of the line is -3 and the equation of the line formed by the points is y + 3x = 6.

From the table we can see that the line passes through the points:

(-6,6) ,(5,-3) ,(4,0) and (3,3) .

Let us consider any two points on the line (4,0) and (3,3) .

We know that the slope of the line can be found by using the intercept formula

Hence slope = (3-0) / (3-4) = 3/ -1 = -3

Now the equation of the line is :

y - 3 = -3(x-3)

or, y - 3 = -3x +9

or, y + 3x = 6

The letter m is frequently used to represent the slope of an object that resembles a line in the plane that contains the x and y axes. The slope is defined as the difference in two independent locations along the line expressed in y coordinate less by the equivalent difference in x coordinate.

Therefore slope of the line is -3.

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Check the picture below.

The domain of the function f(x) = 16.4·x + 2, where x is the distance from the office, which is (always) a positive number is the set of all real numbers but the reasonable domain differs from the mathematical domain in that; The reasonable domain is the set of positive real numbers

The domain is the set of the possible inputs while the range is the set of the possible outputs of the function.

The mathematical domain is the set of the inputs that the function accepts

The function, f(x) = 16.4·x + 2, mathematically, is continuous for all real number value of x. that is the function has an output when the input, x, is a member of the set of real numbers which includes negative number.

The number of miles from the office, which is the distance from the office is (always) a positive number, because it is the distance between two places, and therefore is not a negative number.

The values of x are therefore positive numbers and the reasonable values of the variable, x, which is the distance from the office is the set of positive real numbers.

The option that indicates how the reasonable domain differ from the mathematical domain is therefore;

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The given equation solved for u is u = 7 or u = -7

From the question, we are to solve the given equation.

The given equation is

u^6 − 49 u^4 = 0

First, we will write the equation properly

The given equation written properly is

u⁶ - 49u⁴ = 0

Now,

To solve the equation, we will determine the value(s) of the variable. The variable in the given equation is u.

Thus,

We will solve for u

u⁶ - 49u⁴ = 0

Add 49u⁴ to both sides of the equation

u⁶ = 49u⁴

Divide both sides by u⁴

u⁶/u⁴ = 49u⁴/u⁴

u² = 49

Then,

u²- 49 = 0

u² - 7² = 0

Factorize by applying the rule for difference of two squares

(u + 7)(u - 7) = 0

Then,

u + 7 = 0 OR u - 7 = 0

u = -7 OR u = 7

Hence, the value of u is -7 OR 7

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Answer:384

Step-by-step explanation:

first you multiply 2 times 2= 4 then 4 times 4 times 4= 64 then you multiply 3 times 2= 6 lastly you multiply 6 and 64. your welcome:)

The graph of the piece-wise function g(0.5x) is given by the second image at the end of the answer.

A piecewise-defined function is a function that has different definitions, depending on the input of the function.

In this problem, the function given by the first graph has two definitions, as follows:

The two functions are linear with intercept 0, hence the definitions are given as follows:

After the transformation x -> 0.5x, the definitions are given as follows:

The graph of g(x) is given by the first image at the end of the answer.

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Answer:

y = (24/5)x + 24

Step-by-step explanation:

Knowing that the parent equation for linear functions is "y = mx+b", where "m = slope" and "b = y-intercept", we can create an equation for the line of best fit.

We also need to know the formula for using two points to find the slope is  "(y2 - y1)/(x2 - x1)", where (x2, y2) is a point on the graph and (x1, y1) is a point on the graph.

Finding the slope:

I will be using points (5, 48) and (0, 24).

(24 - 48)/(0 - 5)

(-24)/(-5)

24/5      is the slope so "m = 24/5"

We can tell from the graph (0, 24) is the y-intercept, so "b = 24"

Final equation:

y = (24/5)x + 24

Answer:

quotient: x^2+2x+1

remainder: 7

Step-by-step explanation:

Step-by-step explanation:

x³+4x²+5x+9= (x+2)(x²+2x+1)+7

Quotient= (x²+2x+1)

Remainder=7

Answer:

$90.95

Step-by-step explanation:

85 + .07(85)

85 +   5.95

90.95                                            

Answer:

14.8 is the answer to the question