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Elden [556K]
3 years ago
7

Dusty planted a rectangular garden that had a perimeter of 36 yards. the length of the garden is 6 feet longer than twice the wi

dth. what is the width of the garden in feet?be sure to convert the yards to feet.
Mathematics
1 answer:
ruslelena [56]3 years ago
6 0
P = 2(L + W)
P = 36 yds (if 1 yd = 3 ft, then 36 yds = 36 * 3 = 108 ft)
L = 2W + 6

108 = 2(2W + 6 + W)
108 = 2(3W + 6)
108 = 6W + 12
108 - 12 = 6W
96 = 6W
96/6 = W
16 = W......width = 16 ft

L = 2W + 6
L = 2(16) + 6
L = 32 + 6
L = 38 ....length = 38 ft
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Answer:

\begin{array}{cccc}{Score\ Interval} & {f} & {Proportion} & {Percentage} & {9-10} & {29} &{0.19} & {19\%} & {7-8} & {53} & {0.34} & {34\%} &{5-6}& {50} & {0.32} & {32\%} &{3-4} & {22} & {0.14} & {14\%} & {1-2} & {1} & {0.01} & {1\%} \ \end{array}

Step-by-step explanation:

Given

\begin{array}{cccc}{Score\ Interval} & {f} & {Proportion} & {Percentage} & {9-10} & {29} &{0.19} & {19\%} & {7-8} & {53} & {} & {} &{5-6}& {50} & {} & {} &{3-4} & {22} & {0.14} & {14\%} & {1-2} & {1} & {0.01} & {1\%} \ \end{array}

Required

Fill in the gaps

First, we calculate the total frequency:

Total = \sum f

Total = 29+53+50+22+1

Total = 155

The proportion (p) is calculated by:

p = \frac{f}{Total}

The percentage (P) is calculated by:

P = p * 100\%

For interval 7 - 8, we have:

p = \frac{53}{155} = 0.34

P = 0.34 * 100\% = 34\%

For interval 5 - 6, we have:

p = \frac{50}{155} = 0.32

P = 0.32 * 100\% = 32\%

So, the complete table is:

\begin{array}{cccc}{Score\ Interval} & {f} & {Proportion} & {Percentage} & {9-10} & {29} &{0.19} & {19\%} & {7-8} & {53} & {0.34} & {34\%} &{5-6}& {50} & {0.32} & {32\%} &{3-4} & {22} & {0.14} & {14\%} & {1-2} & {1} & {0.01} & {1\%} \ \end{array}

6 0
3 years ago
How is the precision used in measuring the length and width of a rectangle related to the precision of the resulting area measur
steposvetlana [31]
The more precise your length and width are, the more precise your area <span>measurement will be. Take this as example:

</span>width = 9.3045 mm
<span>length = 8.023 mm
</span><span>
Let's first round up:

width = 9.3 mm
length = 8 mm
Area = 9.3*8 = 74.4 mm

But if you are more precise with the width and length:

</span>width = 9.3045 mm
<span>length = 8.023 mm
</span>Area = 9.3045 *  8.023 = <span>74.6500035 mm

The more precise your length and width are, the more precise your area is. Also, as you can see t</span>he more precise your length and width are, the more your area will increase and will be more accurate.<span>
 </span>
3 0
3 years ago
A test is worth 50 points. Multiple-choice questions are worth 1 point, and short-answer questions are worth 3 points. If the te
dezoksy [38]
Use the following formula to find the answer to this question: 

S * Q + M * Q = P 

Representations: 

S = The amount of points for short-answer questions. 

M = The a<span>mount of points for m</span>ultiple-choice questions. 

Q = Number of questions for each of the type of questions that add up to the total number of questions on the test (20 questions). 

P = Total points on the test. 

Since there is a total of 50 points on the 20 question test, you would need to divide up the amount of questions there are for each of the type there are on the test, short-answer, and multiple-choice. 

3 * Q + 1 * Q = P 

Now find how many of the type of questions there are out of 20 questions on the test that would add up to the total number of points on the test. 

3 * Q + 1 * Q = 50 

(15 + 5 = 20 questions on the test, 15 and 5 can be used for the number of questions for each type of question on the test). 

3 * 15 + 1 * 5 = 50 

45 + 5 = 50 

50 = 50 

So, your total number of multiple choice questions are: 5. 
And, your total number of short answer questions are: 15. 

I would go with D. for your answer. I may be wrong. 

<em>I hope this helps. </em>

<em>~ Notorious Sovereign</em>
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