Explain how you know the valúes of the digits in the number 58

y = 72.

Solving the System of Equations

To find the solution of the system of equations given by 2x - 2y = -38 and -5x - 4y = 23, we can use the method of elimination or substitution. In the method of elimination, we can multiple the first equation by 2 to make the coefficients of y the same, which would give us 4x - 4y = -76. Then, we could add this new equation to the second given equation (-5x - 4y = 23) to eliminate the y variable:

4x - 4y = -76 (First equation multiplied by 2)

-5x - 4y = 23 (Second given equation)

Adding these equations together, we get:
-1x + 0y = -53
or simply
-x = -53, from which x = 53.

Next, we can substitute x back into either of the original equations to solve for y. For example, using 2x - 2y = -38:

2(53) - 2y = -38

106 - 2y = -38

-2y = -38 - 106

-2y = -144

y = 72

Therefore, the solution to the system of equations is x = 53 and y = 72.

The decimal form of the number 4 3/7 is, 4.43

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The number is,

⇒ 4 3/7

Now, We can change in decimal form as;

⇒ 4 3/7

⇒ 31 / 7

⇒ 4.43

Thus, We get;

⇒ 4 3/7 = 4.43

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Answer:

The probability is 42%

Step-by-step explanation:

The probability that A and B, two independent events, happens is given by:

P=P(A)*P(B)

In this case, lets call A the event in which there are sunny weather tomorrow and B the event in which Tara goes to the beach. Taking into account that they are independent, that means that one event doesn't affect the other, the probability P that it will be sunny tomorrow and Tara will go to the beach is:

P=0.7*0.6=0.42

Multiplying P by 100, we get:

P=42%

So, the probability that it will be sunny tomorrow and Tara will go to the beach is 42%

Answer:

first one is (constant)

second answer is (slope)

the third answer is 2

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer:  The correct option is

[tex](A)~~x+y=90,~~x-y=8.[/tex]

Step-by-step explanation:  Given that one of the two complementary angles is 8 degrees less than the other.

We are to select the correct system of equations represents the given word problem.

Let x and y represents the two complementary angles where y is less than x.

Since one angle is 8 degrees less than the other and y is less than x, so we have

[tex]x-y=8.[/tex]

We know that the sum of two complementary angles is 90 degrees, so we get

[tex]x+y=90.[/tex]

Thus, the required system of equations representing the given word problem will be

[tex]x+y=90,\\\\x-y=8.[/tex]

Option (A) is CORRECT.

Answer:

standard form y = -x + b.

Step-by-step explanation:

Given : Graph and points (0,4)(4,0).

To find : Standard form of equation .

Solution : We have given that  points (0,4)(4,0).

Let [tex]x_{1}[/tex] = 0 ,   [tex]x_{2}[/tex] = 4

[tex]y_{1}[/tex] =4  ,      [tex]y_{2}[/tex] = 0.

Slope = [tex]\frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }[/tex].

Plugging values

Slope = [tex]\frac{0 - 4}{4 - 0}[/tex].

Slope = -1 .

Standard form y = m x + b

                        y = -1 x + b.

Plug (0,4)  

 4 = -1 ( 0)+ b

4 = b .

Now , plugging values b= 4 , m = -1.

y = -x + b.

Therefore, standard form y = -x + b.

Answer:

C)

Step-by-step explanation:

both of the equations equal y so, the two equations equal eachother

Answer:

you can make 12 bouquets...each containing 5 roses, 7 daisies, and 2 lilies

Step-by-step explanation:

A. The distance around a closed figure is the correct answer.

Explanation:

The definition of perimeter is : The summation of the outer sides of any closed figure. Like in a rectangle, its the sum of all the four sides. In a circle, its the measure of the outline of the circle also called the circumference.

Hence, the distance around a closed figure is called its perimeter.

Andrew should determine the number of bookshelves and tables to make by using linear programming to solve for the variables given the constraints of his time, material costs, and profits. The optimal solution lies where the constraints intersect within the feasible region.

The student inquired about how many bookshelves and tables Andrew should make in order to maximize profit, given the constraints of time, material cost, and the profit from each item sold. This is a typical problem that can be solved using linear programming, a method in mathematics to achieve the best outcome given a series of linear constraints.

First, let us define two variables: x for the number of bookshelves and y for the number of tables. The constraints given by Andrew's situation are:

x + y \<= 18 (time constraint to make the furniture)

20x + 45y \<= 600 (cost constraint for materials)

Profit function to maximize: P = 60x + 100y

To maximize the profit P, we need to solve for x and y within the given constraints. After setting up the equations, we can graph the constraints and find the feasible region. The solution will be at a vertex of the feasible region, given by the intersection of the constraints. Andrew can use methods like the graphical method, the simplex method, or an algebraic method to find the optimal numbers of bookshelves (x) and tables (y) to maximize his profit.

Answer:

[tex]l=\frac{P}{2}-w[/tex]

Step-by-step explanation:

we know that

The formula for the perimeter of a rectangle is equal to

[tex]P=2(w+l)[/tex]

where

l is the length

w is the width

Solve for l

That means ----> Isolate the variable l

Divide by 2 both sides

[tex]\frac{P}{2}=\frac{2(w+l)}{2}[/tex]

Simplify right side

[tex]\frac{P}{2}=w+l[/tex]

Subtract w both sides

[tex]\frac{P}{2}-w=w+l-w[/tex]

Simplify right side

[tex]\frac{P}{2}-w=l[/tex]

Rewrite

[tex]l=\frac{P}{2}-w[/tex]

Answer:Solve P = 2l + 2w for w.

The first step is to isolate the variable term, 2w.

Step-by-step explanation: