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galben [10]
3 years ago
9

Explain how to determine if a number is a solution of the equation. n + 6 = 33 for n = 27

Mathematics
1 answer:
Over [174]3 years ago
6 0

Answer:

n= 27 is the only solution to the equation

Step-by-step explanation:

n + 6 = 33

Subtract 6 from each side

n+6-6 = 33-6

n = 27

You might be interested in
Solve the inequality. x - 1 is less than or equal to -9.
Marizza181 [45]

Answer:

the answer is -8

Step-by-step explanation:

x<=-8

the answer is -8

7 0
3 years ago
I dont the know the answer to c-d=b for c
Vinvika [58]
C-d=b add to both sides d and will get 

c-d+d=b+d

c=b+d

hope helped 
4 0
3 years ago
Describe and correct the error in finding the tenth term of the arithmetic sequence 4, 12, 20, 28.
ycow [4]

Answer: The tenth term is 76

=======================================================

Explanation:

We use this arithmetic sequence formula to get the nth term

a_n = a_1 + d(n-1)

Plug in a_1 = 4, \ d = 8, \ n = 10 and you should get the following:

a_n = a_1 + d(n-1)\\\\a_{10} = 4 + 8(10-1)\\\\a_{10} = 4 + 8(9)\\\\a_{10} = \textbf{76}\\\\

The tenth term is <u>76</u>

---------

We can verify this by listing out the terms one by one. Start at 4, add on 8 each time, until you generate the 10th term. A table like the one shown below is a good way to keep track of all the terms.

\begin{array}{c|c}\boldsymbol{n} & \boldsymbol{a_n}\\1 & 4\\2 & 12\\3 & 20\\4 & 28\\5 & 36\\6 & 44\\7 & 52\\8 & 60\\9 & 68\\10 & \textbf{76}\\\end{array}

---------

In short, the error is with the "10" in the expression 4+10(8). The student should have used 9 instead. This is because of the n-1 term in a_n = a_1 + d(n-1) which shifts everything one spot to the left.

7 0
2 years ago
Suppose 2 eggs with bacon cost 2.70 . One egg with bacon costs 1.80 . At thesebrates what will bacon alone cost
Leno4ka [110]

If 2 eggs with bacon cost 2.70, and 1 egg with bacon costs 1.80, that means that 1 egg costs 0.90, so when we subtract once more 0.90 we get the price of the bacon alone, which is in this case 0.90.

5 0
2 years ago
What is the depth of water in a tank with 300,000 gallons of water at 70F when the pressure gauge at the bottom of the tank read
chubhunter [2.5K]

Answer:

53.08 ft

Step-by-step explanation:

The pressure at the bottom of the tank, P = ρgh where ρ = density of water = 1000 kg/m³, g = acceleration due to gravity = 9.8 m/s² and h = depth of water in tank.

Since the pressure at the bottom of the tank, P = ρgh, making h subject of the formula, we have

h = P/ρg

Since P = 23 psig = 23 × 1 psig = 23 × 6894.76 Pa = 158579.48 Pa

Substituting the values of the other variables into h, we have

h = P/ρg

h = 158579.48 Pa/(1000 kg/m³ × 9.8 m/s²)

h = 158579.48 Pa/(9800 kg/m²s²)

h = 16.18 m

h = 16.18 × 1 m

h = 16.18 × 3.28 ft

h = 53.08 ft

8 0
2 years ago
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