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chubhunter [2.5K]
3 years ago
9

A sandbox has a perimeter of 21 1/2 feet. If the length is 5 1/4 feet, what is the area of the sand box?

Mathematics
1 answer:
LiRa [457]3 years ago
4 0
The perimeter of a rectangle is twice the sum of length and width, so the sum of length and width is half the perimeter, 10 3/4 ft.

The width will be the difference between this and the length, hence 5 1/2 ft.

The area is the product of length and width.
  A = length×width
  A = (5.25 ft)×(5.5 ft) = 28.875 ft²

The area of the sandbox is 28 7/8 ft².
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Write equations for the horizontal and vertical lines passing through the point (8,5)
almond37 [142]

Answers:

Horizontal Line:  y = 5

Vertical Line:  x = 8

=================================================

Explanation:

All horizontal lines are of the form y = k, for some constant k. We want the horizontal line to pass through (8,5), meaning every point on this horizontal line must have y coordinate 5. Therefore, y = 5 is the equation of the horizontal line. Two such points on this line are (1, 5) and (8, 5). All that matters is the y coordinate is 5. The x coordinate can be anything you want. The slope of any horizontal line is 0.

Flipping things around, all vertical lines will have the x coordinate of each point be the same value. Draw a vertical line through (8,5) and note how each point has x coordinate of 8. Two such points are (8,1) and (8,5). Therefore, the equation of the vertical line is x = 8. The y coordinate can be any value you want. The slope of any vertical line is undefined. Unlike the horizontal line, we cannot write this equation in slope intercept form (namely because the slope isn't defined).

7 0
3 years ago
An HR director numbered employees 1 through 50 for an extra vacation day contest. What is the probability that the HR director w
blsea [12.9K]
Multiples of 13 from 1-50 : 13 , 26 , 39
total number from 1-50 : 50
no. of employees who is not a multiple of 13 : 50-3= 47
Probability = 47/50
I’m not sure if this is correct :( I tried hahaha
7 0
2 years ago
Help!
alexira [117]

Answer:

410 student and 436 adult tickets

Step-by-step explanation:

x is the number of student tickets and y is the number of adult tickets sold. we now that a total of 846 tickets were sold so x+y=846=>x=846-y. we also now that their worth was 3 846usd so 3*x+6*y=3846. we substitute x and are left with the following equation:3x+6*(846-x)=3846

5076-3x=3846

3x=1230

x=410

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2 years ago
SOLVE MATH TO GET 100+ PTS
Advocard [28]

The linear equation that represent the situation is 3b - 6 = 45.

The value of b is 17.

<h3>How to represent a linear equation?</h3>

The situation forms a linear equation. Therefore,

y = mx + b

where

  • m = slope
  • b = y-intercept

Therefore, let's model the equation linearly,

where

  • b = number of books bought

She bought the book for $3 each and receive a discount of $6. The total money spent after the discount is $45.

Therefore, the equation is as follows

3b - 6 = 45

The value of b is as follows;

3b - 6 = 45

3b = 45 + 6

3b = 51

b = 51 / 3

b = 17

learn more on linear equation here: brainly.com/question/11897796

#SPJ1

3 0
1 year ago
X=_?<br> please help. this assignment makes no sense and i cant find any helpful videos.
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30^\circ=\dfrac{x-40^\circ}2\implies x=100^\circ

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