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Dovator [93]
2 years ago
9

A) Rearrange the equation to make w the subject. 2(1 + W) = P

Mathematics
1 answer:
insens350 [35]2 years ago
4 0

Answer:

Step-by-step explanation:

2(1 + W) = P\\Divide -both-sides-of-the-equation-by ; 2\\\frac{ 2(1 + W) }{2} = \frac{P}{2} \\1+ W = P/2\\W = \frac{P}{2} -1\\\\(b .)  2y = 10x + 6\\Re -write -in -slope-intercept-form : y= mx+b\\\frac{2y}{2} =\frac{10x}{2} +\frac{6}{2} \\y = 5x + 3\\Gradient = 5

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Find four fractions between 1/10 and 1/8
Alex17521 [72]

9514 1404 393

Answer:

  5/48, 5/46, 5/44, 5/42

Step-by-step explanation:

We can choose unit fractions with denominators between 8 and 10, separated by (10-8)/5 = 0.4 units:

  1/8.4 = 5/42

  1/8.8 = 5/44

  1/9.2 = 5/46

  1/9.6 = 5/48

__

<em>Check</em>

  • 1/8 = 0.125
  • 5/42 ≈ 0.119
  • 5/44 ≈ 0.114
  • 5/46 ≈ 0.109
  • 5/48 ≈ 0.104
  • 1/10 = 0.100

_____

<em>Additional comment</em>

There are an infinite number of such fractions. We are given unit fractions with different denominators, so it works reasonably well to choose denominators between those given. Then the trick is to convert the fraction to a ratio of integers. In this case, multiplying by (5/5) does the trick.

__

Another approach is to write the fractions with a common denominator, then choose numerators between the ones given. For example, 1/10 = 4/40, and 1/8 = 5/40, so you could write some fractions with numerators between 4 and 5. Possibilities are 4.1/40 = 41/400, 4.3/40 = 43/400, 4.7/40 = 47/400, 4.9/40 = 49/400.

6 0
3 years ago
What is four hundred twenty times six
lianna [129]
To do this without a calculator, it may be easier to break the number into smaller parts.
420 * 6
= (400 * 6) + (20 * 6)
= 2400 + 120
= 2520

Hope this helps! :)
6 0
3 years ago
Read 2 more answers
How many sixths are in 1.5?
mafiozo [28]

Answer:

[three sixths] are the same amount as [one half]

Step-by-step explanation:

Call these units thirds. Split these units in half so there are twice as many. Call these units sixths because six of them make one.

7 0
3 years ago
Linear or non-linear?​
Gnoma [55]

Answer:

the answer for this question is non-linear

Step-by-step explanation:

linear means in a <u><em>straight</em></u> line. the question you wrote is <u>NOT</u> in a strait line.

hoped the answer helped

7 0
3 years ago
A waitress sold 15 ribeye steak dinners and 18 grilled salmon​ dinners, totaling ​$559.81 on a particular day. Another day she s
Orlov [11]

Let  the steaks = X and the salmon = y.

Set up two equations:

15x + 18y = 559.81

19x + 9y = 583.66

Now using the elimination method:

Multiply the second equation by -2, then add the equations together.

(15x+18y=559.81)

−2(19x+9y=583.66)

Becomes:

15x+18y=559.81

−38x−18y=−1167.32

Add these equations to eliminate y:

−23x=−607.51

Divide both sides by -23 to solve for x:

x= -607.51 = -23 = 26.413478

Now you have the cost for a steak.

To solve for the cost of the salmon, replace x with the value in the first equation and solve for y.

15(26.413478) + 18y = 559.91

396.202174 + 18y = 559.81

Subtract 396.202174 from both sides:

18y = 163.607826

Divide both sides by 18:

y = 163.607826 / 18

y = 9.089324

Round both x and Y to the nearest cent:

X (Steaks) =$26.41

Y (Salmon) = $9.09

7 0
3 years ago
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