Question: The table shows pairs of random digits. The pairs in each group simulate the 5 shots taken by the opponent.
The paired digits 00 to 99 represent 100 shots.
Let 00 to 72 = a shot that is saved. Which digits represent a goal scored? Explain.

The value of x for which equation 0.75(x + 20) = 2 + 0.5(x - 2) becomes true is equal to -56.

An equation is given which is 0.75(x + 20) = 2 + 0.5(x - 2).

We have to find out the value of x for which the equation becomes true.

What do you mean by algebraic expressions ?

The algebraic expressions are those which are made up of variables, constants and algebraic operations i.e., addition, subtraction, etc.

As per the question ;

The equation given is 0.75(x + 20) = 2 + 0.5(x - 2)

Let's solve to get the value of x.

⇒ 0.75(x + 20) = 2 + 0.5(x - 2)

⇒ 0.75x + 15 = 2 + 0.5 x - 1

⇒ 0.75x - 0.5x = 1 - 15

⇒ 0.25x = - 14

⇒ x = -14 ÷ 0.25

⇒ x = - 56

Let's check ;

0.75(x + 20) = 2 + 0.5(x - 2)

0.75 ( -56 + 20 ) = 2 + 0.5 ( -56 - 2 )

(0.75 × -56) + (0.75 × 20) = 2 + (0.5 × -56) + (0.5 × -2)

-42 + 15 = 2 -28 - 1

-27 = -27

Both sides are equal for value of x = -56.

Thus , the value of x for which equation 0.75(x + 20) = 2 + 0.5(x - 2) becomes true is equal to -56.

To learn more about algebraic expressions click here ;

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Step-by-step explanation:

Function A Linear

Function A LinearFunction B (on the graph) nonlinear (exponential function)

Answer:

3/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

it doesn't show anything

Answer:

The answer is D) $13.50

Step-by-step explanation:

So first what you're gonna do it subtract $9.50 from $36.50 which will get you to $27.00.

Then you'll have to figure out what half of $27.00 is.

That will get you to the answer of D) $13.50

$21.00

Step-by-step explanation:

if 1 yard equal 6 dollars

do 6 times 3 = 18

and half of 6 is 3

add 18+3=21 dollars

Answer:

P = 201.

Step-by-step explanation:

In mathematics, distributivity is a property of binary operations in which the multiplication is distributed, dividing the same multiplier by the different multipliers to obtain the result.

Thus, to solve the equation -4 (P - 212) = 44 the following calculation must be performed:

-4 (P - 212) = 44

(-4 x P) - (-4 x 212) = 44

-4P - (-848) = 44

-4P + 848 = 44

-4P = 44 - 848

-4P = -804

P = -804 / -4

P = 201

Answer:

y = 2x + 1

Step-by-step explanation:

[tex]m = \frac{-3 - 7}{-2 - 3}\\ = \frac{-10}{-5}= 2\\y = mx + b \\y = 2x + b\\7 = 2(3) + b\ -> 7 = 6 + b \\b = 1 \\y = 2x + 1[/tex]

Answer:

There are three possible outcomes for a system of linear equations: one unique solution, infinitely many solutions, and no solution.

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

1. No Solutions

This case arises when the equations are inconsistent. No values of the variables can satisfy all of the equations. An example is ...

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2. Finite Number of Solutions

The number of distinct solutions depends on the degree of the system and the domain being considered. For example, an n-th degree polynomial equation in one variable will always have n solutions in the domain of complex numbers. However, it may or may not have any real-number solutions. (The question here has no context, so we have to assume it is about any system of equations of any degree or nature (rational, polynomial, exponential, mixed, or other.))

__

3. Infinite solutions

An under-specified system, such as a system of 3 equations in 4 variables, may have an infinite number of solutions. In such a system, one or more of the variables may be allowed to assume any value. Systems that have dependent equations will fall into this category.

Hello! I believe your answer would be:

-32/7, or as a mixed number, -4 4/7

hope this helped!

Answer:

x=120 degrees

Step-by-step explanation:

angle below angle x=y

y=40 because it is corresponding congruent angle

x+y+20=180

x+40+20=180

x=120

Answer:

120

Step-by-step explanation:

two lines are parallel

20+40+x=180

x=180-60

x=120

Answer:

x = 18.5

y = -12

Step-by-step explanation:

First, solve y:

y = -23 + 11

y = -12

Then, solve the main problem:

2x + 3y = 1

(Substitute y)

2x + -36 = 1

2x - 36 = 1

2x = 1 + 36 = 37

x = 37 / 2

x = 18.5

Answer:

23

Step-by-step explanation:

i think if not correct sorry

Answer:

[tex]x=8\sqrt{5}[/tex]

Step-by-step explanation:

I will assume the following:

The challenge of this exercise comes from using the pythagorean theorem and setting up a few equations.

Given that we have a segment 36 units long and another segment that is 16, it is trivial to get the other segment, 20. Additionally, there are two sides that I want to name so that way I can make a couple of substitutions. I will call these side a and side b. (see attachment 1)

Now comes with setting up three equations. I will start with the two smaller triangles, using side a and side b. See attachments 2 and 3.

Now with the big triangle. I will set up one last equation. See attachment 4.

Given what we know about attachment 2 and 3, we can make two substitutions. See attachment 5. I assume you know how to do the rest and arrive at your only real solution.

Answer:

-3s^2+16s-7

Step-by-step explanation:

-3s(s - 10) + 7(-2s -1)​ --> (-3s^2+30s)+(-14s-7) ---> -3s^2+16s-7

DO multiplication them convert like terms

Answer:

-3s² + 16s - 7

Step-by-step explanation:

Remember to follow FOIL. FOIL stands for (First, Outside, Inside, Last).

First, distribute -3s to s and -10, and 7 to -2s and -1:

-3s(s - 10) = -3s² + 30s

7(-2s - 1) = -14s - 7

Next, combine like terms:

-3s² + 30s - 14s - 7

-3s² + (30s - 14s) - 7

-3s² + 16s - 7

-3s² + 16s - 7 is your answer.

™

Answer:

x = -1 or x = 3

Step-by-step explanation:

One of those 2

Answer:

5.8 lemme know if im wrong :)

Step-by-step explanation:

Answer:

5 4/5. ( decimal 5.8)

Step-by-step explanation:

21 1/2 -15 7/10

= 43/2 - 15 17/10

=43/2 - 157/10

=29/5

= 5 4/5

Answer:

A because we need the amount of time she played soccer for so we need to add the 2 days together

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

x³ = 125

x = √125

x = 5

plz follow me

Answer:

I got 140 minutes  

Step-by-step explanation:

Answer:

C. x < - 1

Step-by-step explanation:

1. Subtract 6 from both sides.

[tex]x < 5 - 6[/tex]

2. Simplify 5 - 6 to -1.

[tex]x < - 1[/tex]

Therefor, the answer is, x < -1.

Answer:

Side Angle Side

Step-by-step explanation:

Answer:

m=9 cm; n=4 cm

Step-by-step explanation:

The area of the rectangle is m*n, and the area of the square is 6*6.  We are told that the areas of the rectangle and square equal each other, so:

[tex]m*n=36[/tex]

We are told that m is 5 cm longer than n, so we know that:

[tex]m = 5+n[/tex]

Therefore, we can solve for n using substitution.

[tex]m*n=36\\(5+n)n = 36\\5n+n^2 = 36\\n^2 + 5n -36 = 0\\(n+9)(n-4)=0[/tex]

We now have two answers for n: -9 and 4.  However, the side length cannot be negative; that simply wouldn't make any sense.  Therefore, n = 4.

Next, using the same equation, plug in 4 for n and solve for m.

[tex]m*n=36\\m*4=36\\m=9[/tex]

Answer:

J) -4.5

Step-by-step explanation:

-12x=54

x=54÷(-12)

x=-4.5

Answer:

J

Step-by-step explanation:

divide both sides by -12, x = -4.5. J is the only one that shows that solution, so J is the answer

Answer:

9

Step-by-step explanation:

The average is just another word for mean. You get the mean by adding all the numbers in a data set and then dividing by the number you added.

Hope this helps!

Answer:

63k + 27

Step-by-step explanation:

9(3) + 9(7k)

27 + 63k

Answer:

n^2(radical)7

Step-by-step explanation:

You have to find the square root of all the components separately. 7 is not a perfect square (one number*itself = perfect square, ex 4 is the perfect square of 2 because 2*2=4) but the n^4 can be simplified and brought outside of the radical. When finding the square root of variables with exponents they have to come out in pairs to create that "perfect square." Therefore when you move a variable, you basically divide the exponent by 2. so n^4 inside the radical becomes n^2 outside of the radical, leaving the problem itself to become n^2 (radical) 7.

______________________________

 - We do this to get 1 number left over at the end sum of the equation. To do this you do the opposite of what you see. In this case we have a positive 17, so you subtract 17 on each side.

 - We do this to get x alone. To do this you do the opposite of what you see. In this case we have [tex]4(x)[/tex] being multiplied, so you divide by 4 on each side.

So your answer is [tex]\bold{19.25}[/tex].

______________________________

Answer:

x= 77/4

Step-by-step explanation:

(You will first have to rearrange terms)

17+4x-94

4x+17=94

(Now you will have to subtract 17 from both sides of the equation.)

4x+17=49

4x+17-17=94-17

(You will have to simplify now)

4x=77

(You will have to divide from both sides of the equation by the same term.)

4x=77

4x=77

---  ---      (Divide by 4.)

4    4

(you will now simplify)

x=77/4

and that's how you get your answer.

I hope this helps.      :)