Which value of x makes the open sentence true?
5x – 6 = x + 12

Answers

Answer 1

Answer: The way we approach a problem like this is by using a technique called "collecting like terms".
This means that we want to put all of the values with an "x" on one side and all of the normal numbers on the other. For this particular problem we can do this as follows:
5x - 6 = x + 12
Now move the (- 6) to the right side of the equation by adding 6 to both sides:
=> 5x = x + 12 + 6
Now move the (x) to the left side of the equation by subtracting (x) from both sides:
=> 5x - x = 12 + 6
Now perform the simple arithmetic on both sides:
=> 4x = 18
Now remove the 4 from in front of the (x) by multiplying the whole equation by (1/4)
=> x = 18/4
Therefore to make your open sentence true, x must equal 18/4, or to simplify, 9/2, or as a decimal, 4.5. I hope this helped, and remember to try and understand not just the answer, but the maths involved in getting to the answer too :))

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The graph shows the ages of different concertgoers who have backstage passes.Which statement is true about the graph?

Answers

In the graph you can see that there are a couple of concertgoers that are way older than the rest.
the statement that is true about the graph would be : the two holders of the passes whose ages are above 40 make the means age higher than the median age

hope this helps

Your test grades in math this semester are 96, 100, 72, and 85. Find your mean grade. This is mean median and mode. A) 90.75 B) 88.25 C) 86.50 D) 84.00

Answers

B. 88.25

To find mean, you need to add all numbers given, then divide by the amount of numbers you have, therefore:

96 + 100 + 72 + 85
353

353 / 4

88.25

-4(-2)+(-12)÷(+3)+-20+(+4)+(-6)

Answers

Answer:

-18

Step-by-step explanation:

-4(-2)+(-12)÷(+3)+-20+(+4)+(-6). [B.E.D.M.A.Srule](Firstbracket)

= 8 - 12 ÷ 3 - 20 + 4 - 6. (Thendivision)

= 8 - 4 - 20 + 4 - 6. (Thenafteraddition)

= 8 + 4 - 4 - 20 - 6

= 12 - 30. (Atlastsubtraction)

= -18 (Ans)

Answer:

-18

Step-by-step explanation:

$-4(-2)+((-12))/(+3)-20+(+4)+(-6)=8-(12)/(3)-20+4-6=8-4-20+4-6=-18$

I have a 96 in class and i get a 75 on a assignment that’s worth 10% whats my grade?

Answers

Answer:

Step-by-step explanation:

That would either be a B or a C!

Answer:

To calculate your overall grade, we can use the weighting of each component. Since the assignment is worth 10% of your grade, we can calculate its contribution using the following formula:

(96 * 90%) + (75 * 10%)

First, we multiply your current grade of 96 by 90% (which represents the remaining 90% of your grade) to calculate its contribution. Then, we multiply your assignment grade of 75 by 10% to calculate its contribution. Finally, we add these two contributions together:

(96 * 90%) + (75 * 10%) = 86.4 + 7.5 = 93.9

Therefore, your grade after receiving a 75 on an assignment worth 10% would be approximately 93.9%.

Kai has $315 in her bank account. She withdraws $65 for a new jacket and another $13 for lunch with her friends. She deposits $26. What is the balance in Kai's account?

Answers

Answer:

263

Step-by-step explanation:

take the start amount 315 and subtract 78 then add 26 which would amount to 263

Answer:

$263!! :D

Step-by-step explanation:

Take $315 and subtract $65 $315 - $65 = $250

Then subtract $13 $250 - $13 = $237

Then add $26! $237 + $26 = $263!

Patrick wants to estimate the number of rabbits on his university campus. One day he catches 25 rabbits. He puts a tag on each rabbit. He then releases the rabbits back onto the university campus. The next day he catches 16 rabbits. 5 of the rabbits he catches on the second day have a tag on them. Assuming that there is a fixed population size for the rabbits and that he catches the rabbits in a random way, work out an estimate for the total number of rabbits on the university campus.