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Alborosie
3 years ago
12

Help me PLEASE! I’d really appreciate it!

Mathematics
1 answer:
quester [9]3 years ago
7 0

Answer:

0, 2

1, -2

2, -6

3, -10

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Find four consecutive numbers whose sum equals 218
Softa [21]

Answer: 53, 54, 55, and 56

Step-by-step explanation: This problem states that the sum of 4 consecutive numbers is 218 and it asks us to find the numbers.

4 consecutive numbers can be represented as followed.

X ⇒ <em>first number</em>

X + 1 ⇒ <em>second number</em>

X + 2 ⇒ <em>third number</em>

X + 3 ⇒ <em>fourth number</em>

Since the sum of our 4 consecutive numbers is 218, we can set up an equation to represent this.

X + X + 1 + X + 2 + X + 3 = 218

On the left side of the equation, we can combine our x's and our numbers.

4x + 6 = 218

      -6     -6   ← <em><u>subtract 6 from both sides of the equation</u></em>

4x = 212

÷4    ÷4   ← <u><em>divide both sides of the equation by 4</em></u>

 <u>X = 53</u>

<u />

X ⇒ <em>first number   = 53</em>

X + 1 ⇒ <em>second number   = 54</em>

X + 2 ⇒ <em>third number   = 55</em>

X + 3 ⇒ <em>fourth number   = 56</em>

<em />

<em>Therefore, our 4 consecutive numbers are </em><em>53</em><em>, </em><em>54</em><em>, </em><em>55</em><em>, and </em><em>56</em><em>.</em>

4 0
3 years ago
Triangle ABC has coordinates of A(–8, –8), B(4, –2), and C(2, 2). Find the coordinates of its image after a dilation centered at
kherson [118]
The answer is (C) because you multiply each point by 1.5.
7 0
3 years ago
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You invest in a new play. The cost includes an overhead of $30,000, plus production costs of $2500 per performance. A sold-out p
Alchen [17]

Answer: 48 sold-out performances must be played in order for you to break even.

Step-by-step explanation:

Let x represent the number of sold-out performances must be played in order for you to break even.

You invest in a new play. The cost includes an overhead of $30,000, plus production costs of $2500 per performance. This means that the total cost of x sold out performances would be

2500x + 30000

A sold-out performance brings you $3125. This means that he total revenue from x sold out performances would be

3125x

To break even, cost = revenue

Therefore,

2500x + 30000 = 3125x

3125x - 2500x = 30000

625x = 30000

x = 30000/625

x = 48

8 0
3 years ago
Which point represents – 12 on the number line?
Umnica [9.8K]

Answer:

Point C

Step-by-step explanation:

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What is the diameter of a circle that has a radius of 5.2 yards?<br><br><br><br> ** Do not put yards
Xelga [282]

Answer:

6.4

Step-by-step explanation:

8 0
2 years ago
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