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dedylja [7]
3 years ago
14

-4.2x=21 what does x mean PLEASE

Mathematics
2 answers:
Ad libitum [116K]3 years ago
7 0

Answer:

X is a variable or a symbol for a number we don't know yet. The variable can be plugged in with any number (a fraction, decimal, etc,). For X, the answer would be 5.


zhenek [66]3 years ago
4 0
X is a number that we don’t know yet
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The admission fee to a video game arcade is $1.25 per person, and it costs $0.50 for each game played. Latoya and donnetta
dalvyx [7]

Answer:

15 games.

Step-by-step explanation:

Here is the complete question: The admission fee to a video game arcade is $1.25 per person, and it costs $0.50 for each game played. Latoya and donnetta have total $10.00 to spend. What is the greatest number of games they will be able to play?

Given: Admission fees= $1.25 per person.

           Cost of each game played= $0.50.

           Total Money, Latoya and Donnetta have is $10.

First lets find total admission fees both will pay.

∴ Total addmission fees= Fees\ per\ person \times number\ of\ person

Total addmission fees= \$1.25\times 2= \$ 2.50

Now, money remaining after paying admission fees.

Money remaining = Total\ money - Admission\ fees

∴ Money remaining = \$10-\$2.5= \$ 7.5

∴ Money remained to play video games is $7.5.

Next, finding the maximum number of games, both will be able to play.

As we know, each game will cost $0.50.

Total number of games played= \frac{Money\ remaining}{Cost\ of\ each\ game}

⇒ Total number of games played=\frac{\$ 7.5}{\$ 0.5} = 15\ games

∴ 15 games is the maximum number of games they will be able to play.

3 0
3 years ago
Pentagon ABCDE and pentagon A″B″C″D″E″ are shown on the coordinate plane below:
erastova [34]

The transformations that are applied to pentagon ABCDE to create A"B"C"D"E" are:

1) Translation (x, y) → (x + 8, y + 2)

2) Reflection across the x-axis (x, y) → (x, -y)

So, the overall transformation given in the graph is (x, y) → {(x + 8), -(y + 2)}.

<h3>What are the transformation rules?</h3>

The transformation rules are:

  • Reflection across x-axis: (x, y) → (x, -y)
  • Reflection across y-axis: (x, y) → (-x, y)
  • Translation: (x, y) → (x + a, y + b)
  • Dilation: (x, y) → (kx, ky)

<h3>Calculation:</h3>

The pentagons in the graph have vertices as

For the pentagon ABCDE: A(-4, 5), B(-6, 4), C(-5, 1), D(-2, 2), and (-2, 4)

For the pentagon A"B"C"D"E": A"(4, -7), B"(2, -6), C"(3, -3), D"(6, -4), and E"(6, -6)

Consider the vertices A(-4, 5) from the pentagon ABCDE and A"(4, -7) from the pentagon A"B"C"D"E".

Applying the Translation rule for the pentagon ABCDE:

The rule is (x, y) → (x + a, y + b)

So, the variation is

-4 + a = 4

⇒ a = 4 + 4 = 8

5 + b = 7

⇒ b = 7 - 5 = 2

So, the pentagon ABCDE is translated by (x + 8, y + 2).

Applying the Reflection rule for the translated pentagon:

The translated pentagon has vertices (x + 8, y + 2).

When applying the reflection across the x-axis,

(x + 8, y + 2) → {(x + 8), -(y + 2)}

Therefore, the complete transformation of the pentagon ABCDE to the pentagon A"B"C"D"E" is (x, y) → {(x + 8), -(y + 2)}

Verification:

A(-4, 5) → ((-4 + 8), -(5 + 2)) = (4, -7)A"

B(-6, 4) → ((-6 + 8), -(4 + 2)) = (2, -6)B"

C(-5, 1) → ((-5 + 8), -(1 + 2)) = (3, -3)C"

D(-2, 2) → ((-2 + 8), -(2 + 2)) = (6, -4)D"

E(-2, 4) → ((-2 + 8), -(4 + 2)) = (6, -6)E"

Learn more about transformation rules here:

brainly.com/question/4289712

#SPJ1

5 0
1 year ago
he knows that the length is 10 feet more than the width, and the total area is 144 feet. Find the dimensions of in feet of Javon
finlep [7]

Answer:

A) length = width +10

B) length * width = 144 OR

B) width = 144 /length  putting B) into A)

A) length = 144 / length + 10 then solving for length

A) length^2 = 144 +10 length

A) length^2 -10 length - 144 = 0  then we factor

(length -18) * (length +8) = 0

length = 18 feet

width = 8 feet

Step-by-step explanation:

6 0
3 years ago
The area of a parallelogram is 31. 5 ft2 and the height is 6. 3 ft. What is the length of the base? 36 ft 24 ft 10 ft 5 ft.
Brilliant_brown [7]
If the area of a parallelogram is given as with a height of , we can refer back to the equation for the area of a parallelogram: \displaystyle A= b \cdot h, where is height and is the length of the base.
4 0
1 year ago
Can a triangle be formed with side lengths:<br> 10, 12, 22
Elenna [48]
No. A squared plus b squared must equal c squared (Pythagorean theorem). 10 squared is 100, 12 squared is 144, they add up to 244 but 22 squared is 484…..much too large
8 0
3 years ago
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