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storchak [24]
3 years ago
10

3x + 2 =11 (solve for x)

Mathematics
1 answer:
torisob [31]3 years ago
4 0

Answer:

x=3

Step-by-step explanation:

first let's try to get just 3x on one side. to do this we can subtract 2 from both side of the equation.

3x+(2-2)=11-2

3x=9

now we have to isolate the variable we can divide both sides by 3:

3x/3=9/3

x=3

and you get the answer that x is 3

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90 points!!
Svetllana [295]

Answer:

1) 2w + 2(3w) \leq 112

2) 850w > 300w + 7500

3) The greatest age that Sue could be is 7.

4) The smaller of the two integers is 92.

5) Don needs to earn at least 244 points in the fourth game.

Step-by-step explanation:

1) An rectangle has 2 dimensions: width(w) and length(l)

The perimeter P is:

P = 2w + 2l

The problem states that the length of a rectangle is three times its width. So l = 3w and:

P = 2w + 2(3w)

The perimeter of the rectangle is at most 112 cm. It means that the perimeter can be 112, so the equal sign enters the inequality. So

2w + 2(3w) \leq 112

2)

The problem states that he earns $850 per week in sales. His earnings is modeled by the following equation:

E = 850*w, in which w is the number of weeks.

The problem also states that he spent $7500 to obtain his merchandise, and it costs him $300 per week for general expenses. So his expenses can be modeled by the following equation

C = 300*w + 7500, in which w is also the number of weeks.

He will make a profit when his earnings are bigger than his expenses, so: When they are equal, there is no profit, so the equal sign does not enter the inequality.

E > C

850w > 300w + 7500

3)

I am going to call Jenny's age x and Sue's age y.

The problem states that Jenny is eight years older than twice her cousin Sue’s age. So

x = 8 + 2y.

The sum of their ages is less than 32, so:

x + y < 32

8 + 2y + y < 32

3y < 24

y < \frac{24}{3}

y < 8

Sue's age has to be less than 8, so the greatest age that Sue could be is 7.

4)

The sum of two consecutive integers is at least 185.

There are two integers with sum of 185, so:

x + y = 185

They are consecutive so:

x = y + 1

Replacing in the sum equation:

y + 1 + y = 185

2y = 184

y = \frac{184}{2}

y = 92

The smaller of the two integers is 92.

5)

The average is the sum of all the scores divided by the number of games. So:

225 = \frac{192 + 214 + 250 + x}{4}

656 + x = 900

x = 900 - 656

x = 244

Don needs to earn at least 244 points in the fourth game.

8 0
3 years ago
What are the lengths of SV and QT? no links.
maxonik [38]

ok so we see that TR is 17 units, so RV is the same amount

3x+2 so 3x=15 so divide both sides by 3 we get x=5

now we know x=5 4x+1=21 and 9x-4=41

*drops microphone*

4 0
2 years ago
Read 2 more answers
The table shows the amount of money in your savings account over a period of 6
MatroZZZ [7]

Answer: N=800/5

N=160

He needs to save $160 every week to get $800 in 5 weeks

hope this helps.

7 0
3 years ago
Read 2 more answers
The complement of angle A is 38 degrees more than angle A
ozzi
I assume that you want the measurement of angle A
A + (A + 38) = 90
angle A + (38 more than angle a) = are complementary
2A = 52
A = 26

Hope this helps. If it did, consider making it Brainliest!
8 0
3 years ago
Read 2 more answers
Helphelphelphelphelphelphelphelphelphelp
victus00 [196]

Answer:

u=-6

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
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