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Paul [167]
3 years ago
14

Simplify by combining like terms: 3x + 2 + x + 7

Mathematics
1 answer:
velikii [3]3 years ago
6 0
4x +9

3x and x are like terms
And 2 and 7 are like terms

Hope this helps :D
You might be interested in
7. Eleven students go to lunch. There are two circular tables in the dining hall, one can seat 7 people, the other can hold 4. I
Ipatiy [6.2K]

Answer:

239,580 ways of seating

Step-by-step explanation:

11 students will be divided into 2 groups. One group of 7 people and one group of 4 people. So first we need to find the number of ways of dividing 11 students into these 2 groups.

First group is of 7 people. We have to select 7 people out of 11. The order of selection does not matter so this is a combination problem. Selecting 7 people from 11 can be expressed as 11C7.

Formula for combination is:

^{n}C_{r}=\frac{n!}{r!(n-r)!}

For the given case this would be:

^{11}C_{7}=\frac{11!}{7! \times 4!}=330

So, there are 330 ways of selecting a group of 7 from 11 students. When these 7 students are selected the remaining 4 will go to the other group. So, we can say there are 330 ways to divide the 11 students in groups of 7 and 4. Note that if you start with group of 4 students, the answer will still the same because 11C4 is also equal to 330.

Next we have to arrange 7 students on a round table. The number of possible arrangements would be = (7 - 1)! = 6! = 720

Similarly, to arrange 4 people on a round table, the number of possible arrangements would be = (4 - 1)! = 3! = 6

Since, for each selection of the 330 groups, there are 720 + 6 possible seating arrangements, so the total number of possible seating arrangements would be:

330 ( 720 + 6) = 239,580 ways

Thus, there are 239,580 ways of seating 11 students.

7 0
3 years ago
Manuel deposited $150 in his savings account on january 1. on the first day of each following month, he deposited an additional
posledela

Answer:

8 months

Step-by-step explanation:

Subtract $150 from $430 to get $280, the amount if money that Manuel has to earn to reach his goal.

If he is adding $35 to his account each month, then all you have to do is divide the amount you need by the amount you are earning each month to get the number of months until you reach your goal.

$280 divided by $35 is 8, so it would take 8 months for Manuel to reach his goal.

5 0
3 years ago
A store sells
user100 [1]
C
Hope this helps!!!!!
7 0
3 years ago
|Area of a square field is 617796cm² . Find length of its each side.
mariarad [96]

Answer:

length of its each side is 786 cm

Step-by-step explanation:

l² = 617796cm²

l = √617796

l = 786cm

7 0
3 years ago
Read 2 more answers
1
zmey [24]

Answer:

Part 1) The inequality that represent this situation is 5(x+7)^{2} \geq1,050  or  5x^{2}+70x+245 \geq1,050

Part 2) Yes, 8 inches is a reasonable width for his tablet

Step-by-step explanation:

Part 1)

Let

L -----> the length of the screen television

W ----> the width of the screen television

x ---->  the width of Andrew's tablet

we know that

L=5W ------> equation A

W=x+7 ----> equation B

The area of the television is

A=LW -----> equation C

Substitute equation A and equation B in equation C

A=5(x+7)(x+7)

A=5(x+7)^{2}

5(x+7)^{2} \geq1,050

5(x^{2}+14x+49) \geq1,050

5x^{2}+70x+245 \geq1,050 ------> inequality that represent this situation

Part 2) Determine if 8 inches is a reasonable width for his tablet

For x=8 in

Substitute in the inequality

5(8+7)^{2} \geq1,050

5(15)^{2} \geq1,050

1,125 \geq1,050 -----> is true

therefore

Yes, 8 inches is a reasonable width for his tablet

3 0
3 years ago
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