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Grace [21]
3 years ago
15

The sum of five consecutive integers is -65

Mathematics
2 answers:
Anestetic [448]3 years ago
8 0
Answer: -15, -14,-13,-12,-11
ale4655 [162]3 years ago
3 0
Consecutive integers can be represented as x, x+1, x+2 and so on.

x+x+1+x+2+x+3+x+4=-65
5x+10=-65
5x=-75
x=-15

Final answer: -15, -14, -13, -12, -11
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In parallelogram EFGH, EJ = 6x + 3 and JG = 10x - 5 What is EG?<br>A: 15<br>B: 12<br>C: 25<br>D: 30​
Ne4ueva [31]

Answer:

  • D. 30

Step-by-step explanation:

It seems J is the intersection of diagonals.

We know diagonals of the parallelogram bisect each other.

<u>It gives us:</u>

  • EG = EJ + JG and
  • EJ  = JG

<u>Substitute and solve for x:</u>

  • 6x + 3 = 10x - 5
  • 10x - 6x = 3 + 5
  • 4x = 8
  • x = 2

<u>Find the value of EJ:</u>

  • EJ = 6*2 + 3 = 15

<u>Find the value of EG:</u>

  • EG = 2*EJ = 2*15 = 30

Correct choice is D

5 0
3 years ago
Read 2 more answers
Write a real-world problem that could be represented by the inequality.<br> 3x + 6 &gt; 27
liubo4ka [24]
Hello! We see that 6 is the fixed amount. x represents the amount of something, and the solution makes a number $27. Let's make a real-world problem and then execute it.

Fawn has $6 in her piggy bank. She makes bracelets to sell to family & friends for $3 each. She wants to buy a video game that with tax, costs a little over $27. How many bracelets would Fawn have to sell in order to have enough money to buy the video game?

How to solve it:

So we have the expression of 3x + 6 > 27. First off, subtract 6 from both sides. 6 - 6 cancels out. 27 - 6 is 21. That's 3x > 21. Now, divide each side by 3 to isolate the x. 3x/3 cancels out. 21/3 is 7. There. x > 7. Fawn will have to sell more than 7 bracelets in order to have enough money for the game.
8 0
3 years ago
6x+3=10 hihihsoudhasoidjsaid
Vlada [557]

Step-by-step explanation:

6x+3=10

6x=10-3

6x=7

x=7/6

7 0
3 years ago
Question 3*
il63 [147K]
Please help me with the last question just write the equation in vertex form
I’ll mark as brainliest

8 0
3 years ago
Read 2 more answers
Suppose commute times in a large city are normally distributed and that 63.70% of commuters in this city take more than 22 minut
USPshnik [31]

Answer:

The mean is 24.205

Step-by-step explanation:

Firstly, we need to get the z-score

From the question, the probability we have is the probability that commuters take more than 22 minutes to commute one-way

So the probability we had was;

P( x > 22)

So we need the z-score corresponding to 63.70% or simply 0.637

We can use the standard normal distribution table to get this

Mathematically, from the standard normal distribution table this is -0.35

z-score = (x- mean)/SD

-0.35 = (22-mean)/6.3

22-mean = -2.205

mean = 22 + 2.205 = 24.205

6 0
3 years ago
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