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chubhunter [2.5K]
3 years ago
6

The perimeter of a rectangular swimming pool is 414 meters. The length of the pool is 7 meters more than four times the width. F

ind the length and the width.
Mathematics
1 answer:
PolarNik [594]3 years ago
5 0

Answer:

Width = 40 meters

Length = 167 meters

Step-by-step explanation:

Let

Width of the pool = x meters

Then

Length of the pool = 4x + 7 meters

and

Perimeter =2(x+4x+7)=2(5x+7)=10x+14 meters

Hence,

10x+14=414\\ \\10x=414-14\\ \\10x=400\\ \\x=40\ meters\\ \\4x+7=4\cdot 40+7=167\ meters

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A road race is 13 1/2 miles long. There are water stations every 3/4 if a mile including at the finish line. How
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The number of water stations there are along the 13 1/2 miles long road race according to the task content is; Choice C; 18 water stations.

<h3>What is the number of water stations along the road race?</h3>

It follows from the task content that the number of water stations can be determined as follows;

13 1/2 ÷ 3/4

= 27/2 × 4/3

= 18 water stations.

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2 years ago
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loris [4]
2 \frac{3}{4} * \frac{4}{5} is the same as \frac{11}{4} * \frac{4}{5}. The 4s will cancel leaving you with \frac{11}{5} or 2 \frac{1}{5}, your 3rd option. 
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3 years ago
Evaluate the following expression.<br><br> 10 x 1 + 2 x 60/10
g100num [7]

Answer:

22

Step-by-step explanation:

10*1=10

then as we know first we should do multiplier and division so,

2*60=120, 120/10=12

10+12=22

3 0
3 years ago
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If 1/5 of those in a high school are freshmen, and 40% of the freshmen are women, and 3/5 of those in the other grades are women
murzikaleks [220]

There are 264 male students in the high school containing 600 students.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

There are 600 students altogether, hence:

Number of freshmen = (1/5) * 600 = 120

Number of other graders = 600 - 120 = 480

Number of male freshmen = 120 - (0.4 * 120) = 72

Number of male other graders = (1 - 3/5) * 480 = 192

Total number of male = 72 + 192 = 264

There are 264 male students in the high school containing 600 students.

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2 years ago
Which of the following are variables are categorical, if any? (check all that apply)
alukav5142 [94]

Answer:

A) The brand of cars driven by Harvard instructors

C) The types of plants growing in yellowstone  

Step-by-step explanation:

Categorical and numerical variables:

  • Numerical data can be expressed with the help of numerical.
  • Categorical data cannot be expressed by numerical.
  • They do no have any particular value.
  • They are the non-parametric data.
  • Categorical data are also known as qualitative data.

A) The brand of cars driven by Harvard instructors

Since the brands cannot be expressed in numerical, it is a categorical variable.

B) The age of randomly selected biology students.

The age of student are expressed in whole numbers or decimals. Thus, it is a numerical data.

C) The types of plants growing in yellowstone

Again, the type of plants cannot be expressed with the help of numerical. Thus, it is a categorical variable.

3 0
3 years ago
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