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Paraphin [41]
3 years ago
11

Two- step equation Solve each question

Mathematics
1 answer:
Mandarinka [93]3 years ago
5 0

To solve for a variable, isolate it! Get the variable alone on one side of the equation.

13) -15 = -4m + 5 ... -20 = -4m ... m = 5

14) 10 - 6v = -104 ... -6v = -114 ... v = 19

15) 8n + 7 = 31 ... 8n = 24 ... n = 3

16) -9x - 13 = -103 ... -9x = -93 ... x = 31/3

17) (n + 5) / -16 = -1 ... n + 5 = 16 ... n = 11

18) -10 = -10 + 7m ... 0 = 7m ... m = 0

19) -10 = -10(k - 9) ... 1 = k - 9 ... k = 10

20) (m / 9) - 1 = -2 ... m / 9 = -1 ... m = -9

21) 9 + 9n = 9 ... 9n = 0 ... n = 0

22) 7(9 + k) = 84 ... 9 + k = 12 ... k = 3


I cannot clearly read 23 and 24, but I hope you can see the principles I applied to produce these answers.

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Solve for n. You must write your answer in fully simplified form.<br> 12 = 15n
labwork [276]

Answer:

(4/5) = n

Step-by-step explanation:

12 = 15n

divide both sides by 15

(12/15) = n

simplify

(4/5) = n

3 0
3 years ago
Read 2 more answers
Are the irrational numbers closed under addition?
Arte-miy333 [17]

Answer:

Irrational numbers are not closed under addition.

Step-by-step explanation:

Irrational numbers are the numbers that cannot be expressed in the form of a fraction \frac{x}{y}. In other words we can say that irrational number,s decimal expantion does not cease to end.

The closure property of addition in irrational numbers say that sum of two irrational number is always a rational number, But this is not true. It is not necessary that the sum is always irrational some time it may be rational.

This can be understood with the help of an example:

let (2+√2) and (-√2) be two irrational number. Their sum is (2+√2)+(-√2) = 2, which is clearly a rational number.

Hence, irrational numbers are not closed under addition.

4 0
3 years ago
Can someone help me please
zavuch27 [327]

Answer:

C

\:  \\ diameter  = 4ft  \\ \: raduis \:  =  \frac{diameter}{2}  \\ raduis  =  \frac{4ft}{2} = 2ft \\ c = 2\pi \: r \\ c = 2\pi2ft \\ c = 4\pi \: ft \\ c = 4 \times 3.14 = 12.56ft

8 0
2 years ago
You unfold chicken wire to make a circular pen. The area of the pen is 78.5 square meters. How many meters of chicken wire do yo
Lelu [443]
Circular pen means you are going to use Area = Pi(r^2). 

So 78.5 = pi(r^2). Divide by pi on both sides to get r^2 = 78.5/pi. Take the square root of that to get r or radius = approximately 4.99. If you need an exact answer then use \sqrt{ \frac{78.5}{ \pi } } for the next part because you are not done yet.

Plug whatever R you use into the circumference formula of Circumference = 2(pi)(r).

If you use 4.99, you do 2(pi)(4.99) which is approximately 31.35. If you use the exact answer, you do 2(pi)(\sqrt{ \frac{78.5}{ \pi} }) which gives you approximately 31.41. 

Either way you'll need about 31 meters of chicken wire but the 31.40796 or ~31.41 is closer to the exact answer. 
8 0
3 years ago
Grace is three times as old as Hans, but in 5 years she will be twice as old as Hans is then. How old are they now? Set up an th
frosja888 [35]

Answer:

3x - y = 0; 2x - y = -5

Step-by-step explanation:

Let x be the present age of Hans and y be the present age of Grace,

Since, in present Grace is three times as old as Hans,

⇒ y = 3x

⇒ 3x - y = 0

Now, after 5 years,

The age of Hans = x + 5,

And, the age of Grace = y + 5

Also, in 5 years Grace will be twice as old as Hans is then,

⇒ y + 5 = 2 ( x + 5 )

⇒ y + 5 = 2x + 10

⇒ 2x - y = -5

Hence, the required system of linear equations is,

3x - y = 0; 2x - y = -5

5 0
3 years ago
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