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Novay_Z [31]
3 years ago
13

An unknown number w is 30 more than an unknown number p. The number w is also p less than 5

Mathematics
1 answer:
AleksandrR [38]3 years ago
7 0
The problem statement gives rise to two equations.
  w = 30 + p . . . . . w is 30 more than p
  w = 5 - p . . . . . .. w is p less than 5

Add these two equations to get
  2w = 35
  w = 35/2 = 17.5
  p = 5 - w = -12.5

The unknown number w is 17.5.
The unknown number p is -12.5.
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4 years ago
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3 years ago
Suppose y varies inversely with X, and y = 48 when x = 3. What is the value of x when y = 24?
olganol [36]

Answer:

C. 6

Step-by-step explanation:

Recall that inverse variation is given by:

\displaystyle y=\frac{k}{x}

Where <em>k</em> is the constant of variation.

We know that <em>y</em> = 48 when <em>x</em> = 3. Substitute:

\displaystyle (48)=\frac{k}{(3)}

Solve for <em>k: </em>

<em />k=3(48)=144<em />

<em />

Hence, our equation is:

\displaystyle y=\frac{144}{x}

We want to find <em>x</em> when <em>y</em> = 24. Substitute:

\displaystyle \frac{24}{1}=\frac{144}{x}

Cross-multiply:

24x=144

Divide both sides by 24. Hence:

x=6

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3 0
3 years ago
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