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Vlad1618 [11]
3 years ago
7

Please help me with this

Mathematics
1 answer:
3241004551 [841]3 years ago
7 0
120+x+16+x=180
2x+ 136=180
2x=44
X= 22

<B= 22
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Please help, I’ll give brainly!!!
Sever21 [200]

Answer:

9.

3 ( 1 - 3x ) = 2 (-4x + 7)

3 - 9x = -8x +14

-9x +8x  = 14 - 3

-x = 11

x = -11

10.

-10 + x + 4 - 5 = 7x - 5

-10 +x -1 = 7x - 5

-11 + x = 7x - 5

-11 + 5 = 7x -x

-6 = 6x

x = -6/6

x = -1

11.

-8n + 4 ( 1 + 5n ) = -6n -14

-8n + 4 + 20n = -6n -14

12n +4 = -6n -14

12n  + 6n = -14 -4

18n = -18

n = -18/18

n = -1

12.

-6n - 20 = -2n + 4 ( 1 - 3n)

-6n - 20 = -2n + 4 - 12n

-6n - 20 = -14n +4

-20 -4 = -14n +6n

-24 = 8n

n = -24/8

n = -3

13.

4n - 40 = 7 (-2n +2)

4n - 40 =  -14n + 14

4n +14n = 14 +40

18n = 54

n = 54 / 18

n = 3

14.

7(5a - 4) -1 = 14 - 8a

35a -28 -1 =  14 - 8a

35a -29 = 14 - 8a

35a +8a = 14 +29

43a = 43

a = 43/43

a = 1

15.

-31 - 4x = -5 - 5 ( 1 + 5x)

-31 - 4x = -5  -5 - 25x

-31 - 4x = -10 -25x

-4x +25x = -10 +31

21x = 21

x = 21/21

x = 1

16.

38 +7k = 8 (k +4)

38 +7k = 8k + 32

38 - 32 = 8k -7k

k = 6

8 0
3 years ago
The nth term of this sequence is ansquared+by+c<br> 1,11,27,49 <br> Find the values of a b and c
stiv31 [10]

Answer:

The values of a, b and c are:

  • a = 3
  • b = 1
  • c = -3

Step-by-step explanation:

Step 1:

First Confirm the sequence is quadratic by finding the second difference.

Sequence = 1,11,27,49

1st difference:

  • 11-1=10
  • 27-11=16
  • 49-27=22

2nd difference:

  • 16-10=6
  • 22-16=6

Step 2:

Just divide the second difference by 2, you will get the value of a.

6 ÷ 2 = 3

So the first term of the nth term is 3n^{2}

Step 3: Next, substitute the number 1 to 5 into  3n^{2}

n = 1,2,3,4,5

3n² = 3,12,27,48,75

Step 4:

Now, take these values (3n²) from the numbers in the original number sequence and work out the nth term of these numbers that form a linear sequence.

n = 1,2,3,4,5

3n² = 3,12,27,48,75

Differences:

1 - 3 = -2

11 - 12 = -1

27 - 27 = 0

49 - 48 = 1

Now the nth term of these differences (-2,-1,0,1) is (n - 1) - 2.

so b = 1, and c = -3

Step 5: Write down your final answer in the form an² + bn + c.

3n² + (n - 1) -2

= 3n² + n - 1 - 2

= 3n² + n - 3

Therefore, the values of a, b and c are:

  • a = 3
  • b = 1
  • c = -3
4 0
3 years ago
On a certain hot summer's day, 263 people used the public swimming pool. The daily prices are $1.25 for children and $2.50 for a
Elenna [48]

Answer:

The number of children = x = 176

The number of Adults = y = 87

Step-by-step explanation:

Let us represent

The number of children = x

The number of Adults = y

On a certain hot summer's day, 263 people used the public swimming pool.

x + y = 263.... Equation 1

x = 263 - y

The daily prices are $1.25 for children and $2.50 for adults. The receipts for admission totaled $437.50.

$1.25 × x + $2.50 × y = $437.50

1.25x + 2.50y = 437.50.....Equation 2

We substitute 263 - y for x in Equation 2

1.25(263 - y) + 2.50y = 437.50

328.75 - 1.25y + 2.50y = 437.50

- 1.25y + 2.50y = 437.50 - 328.75

1.25y = 108.75

y = 108.75 ÷ 1.25

y = 87

Solving for x

x = 263 - y

x = 263 - 87

x = 176

Therefore:

The number of children = x = 176

The number of Adults = y = 87

8 0
3 years ago
PLZ PLZ PLZ PLZ HELP
Arada [10]

Answer:

f(x)=x/2 +8

if x =10

10/2 +8

5+8=13

Step-by-step explanation:

option c

5 0
2 years ago
Use the above figure to answer the question. What's the angle between the tangents at T in the figure? A. 90° B. 75° C. 60° D. 3
morpeh [17]
A
as the horizontal line and.vertical line meet at 90°
6 0
3 years ago
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