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Lilit [14]
3 years ago
7

Hannah has a part-time job making holiday wreaths. This week, she made x medium wreaths, twice as many large wreaths as medium w

reaths, and 12 as many small wreaths as medium wreaths. In terms of x, how many wreaths did Hannah make this week?
Mathematics
1 answer:
Lilit [14]3 years ago
3 0

Answer:

Total number of wreaths = 3.5 wreaths

Step-by-step explanation:

Given:

Number of medium wreaths = x

Number of larger wreaths = 2[Number of medium wreaths]

Number of small wreaths = [1/2][Number of medium wreaths]

Find:

Total number of wreaths

Computation:

Total number of wreaths = Number of medium wreaths + Number of large wreaths + Number of small wreaths

Total number of wreaths = Number of medium wreaths + 2[Number of medium wreaths] + [1/2][Number of medium wreaths]

Total number of wreaths = x + 2x + 0.5x

Total number of wreaths = 3.5 wreaths

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An equation of the line that passes through (7,10) and is perpendicular to the line y=1/2x-9 is y=-2x+24

Step-by-step explanation:

We need to write an equation of the line that passes through 7,10 and is perpendicular to the line y=1/2x-9

<u>Note:</u> Considering the line y=1/2x-9

For finding an equation of line we need

  • Slope (m)
  • y-intercept (b)

The general equation of slope intercept form used is:

y=mx+b

The equation of line given is: y=1/2x-9

The new line is perpendicular to the given line So, the slope of new line would be m = -1/m

So, Slope of given line m = 1/2

Slope of required line = -1/m = -2

So, m= -2

Now, for finding y-intercept (b) we need slope m = -2 and the point given (7,10)

Putting values of m, x=7 and y = 10 in the equation of slope intercept form

y=mx+b\\10=-2(7)+b\\10=-14+b\\b=10+14\\b=24

So, Equation of required line having slope m = -2 and y-intercept b = 24

y=mx+b\\y=-2x+24

An equation of the line that passes through (7,10) and is perpendicular to the line y=1/2x-9 is y=-2x+24

Keywords: Equation of line using Slope  

Learn more about Equation of line using Slope at:

  • brainly.com/question/4819659
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  • brainly.com/question/1979240

#learnwithBrainly

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