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Ahat [919]
2 years ago
7

Solve the absolute value equation: |3x+3|=10

Mathematics
2 answers:
yarga [219]2 years ago
8 0

Answer:

  • x = 2.33

Step-by-step explanation:

We know that when there is an absolute value sign, the value inside the bars is always positive.

  • => I3x + 3I = 10
  • => 3x + 3 = 10
  • => 3x = 10 - 3
  • => 3x = 7
  • => x = 7/3
  • => x = 2.33 (Rounded to nearest hundredth)

Hence, the value of x is 2.33.

IgorC [24]2 years ago
3 0

Answer:

Exact Form:

x=7/3, −13/ 3

Decimal Form:

x=2.3333, 4.3333

Mixed Number Form:

x=2 1/3, −4 1/3

Step-by-step explanation:

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A survey of a group’s viewing habits over the last year revealed the following
Tom [10]

Answer:

0.52

Step-by-step explanation:

The computation of the percentage of the group in which none of the three sports watched is shown below:

= gymnastic percentage + baseball percentage + soccer percentage - gymnastic & baseball percentage - baseball & soccer percentage - gymnastic & soccer percentage + three sports percentage

= 0.28 + 0.29 + 0.19 - 0.14 - 0.12 - 0.18 + 0.08

= 0.48

Now the percentage is

= 1 - 0.48

= 0.52

7 0
3 years ago
A car dealership pays a wholesome price of $12,000 to purchase a vehicle. The car dealership wants to make a 32% profit. The car
cestrela7 [59]

Answer:

$102.96

Step-by-step explanation:

Lets take this one part at a time.

the dealership pays 12000 for the car, so they start at -12000 for how much money they have.

The dealership wants to make a 32% profit.  This means they want to make back the 12000 plus 32% of that.  what is 32% of 12000?  just multiply 12000 bty .32  In the end it works out that the price they sell it for is 15840

I do want to mention that there is a chance the 32% might also be accounting the bonus.  So in other words the dealership spent 12000 for the car then however much in paying the bonus, and they want to make a 32% profit on both of these combined.  I do not think that is what it is asking for, but I wanted to mention it.

Anyway, with a sales price of $15,840 it says the bonus is 6.5% of that.  to find that just do the multiplication .065 * 15840 = 1029.60.  So this is the bonus normally.

Now the question says the salesperson offers a 10 percent discount.  This changes the sales price (by 10%) and the bonus they earn.  let's calculate both.

First 10% discount of the sales price is .9*15840 = 14,256

Then 6.5% of that is .065*14256 = 926.64 So this is the new bonus.

The question wants the difference of the two bonuses, and difference is subtraction.  so 1029.60 - 926.64 = 102.96 So if the salesperson offers a 10% discount they lose $102.96

5 0
3 years ago
Please guys help me I need help to get an A+
Sergeeva-Olga [200]
The “math sentence”: To find the answer, I need to divide the six chocolate bars by 3/4.

To model the situation, you need to draw 6 squares divided into quarters. Color in 3 of the quarters in each square.

Finally, write this for the solution sentence:
By giving 3/4 of a chocolate bar to each of her friends, Mrs. Lopes will be able to share her 6 chocolate bars with 8 different friends.


Hope you get that A+!
3 0
3 years ago
PLEASE HELP<br> Simplify the expression to a + bi form:<br> √ 25- √ -25 – √ 36 – √ -4
klasskru [66]

Answer:

-1+3i

Step-by-step explanation:

\sqrt{25}  -  \sqrt{ - 25}  -  \sqrt{36}  -  \sqrt{ - 4}

Sqr root of 25 and 36 are 5 and 6 respectively

Sqr root of -25 and -4 are 5i and 2i respectively

Combine like with like

5-6=-1

5i-2i=3i

-1+3i

7 0
3 years ago
The table summarizes the scoring of a football game between Team A and Team B. A touchdown (TD) is worth 6 points, a field goal
Anit [1.1K]
If you would like to find the final score, you can do this using the following steps:

Team A: 6 points * 3 + 3 points * 2 + 2 points * 1 + 1 point * 0 = 6 * 3 + 3 * 2 + 2 * 1 + 1 * 0 = 18 + 6 + 2 + 0 = 26 points
Team B: 6 points * 4 + 3 points * 4 + 2 points * 1 + 1 point * 2 = 6 * 4 + 3 * 4 + 2 * 1 + 1 * 2 = 24 + 12 + 2 + 2 = 40 points

The final score of team A is 26 points and the final score of team B is 40 points.
3 0
3 years ago
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