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earnstyle [38]
3 years ago
5

The width of a rectangle is the length minus 6 units the area of the rectangle is 27 units

Mathematics
1 answer:
AleksandrR [38]3 years ago
6 0

Answer:

length = 9 units

Step-by-step explanation:

l = length

n - 6 = width

A = n(n - 6)

A = n² - 6n

27 = n² - 6n

n² - 6n - 27 = 0

(n + 3)(n - 9) = 0

n = -3, n = 9

length must be 9 because it cannot be a negative value

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One week Beth bought 3 apples and 8 pears for $14.50. The next week she bought 6 apples and 4 pears and paid $14. Find the cost
zalisa [80]
Let us assume the cost of 1 apple = x dollars
Let us also assume the cost of 1 pear = y dollars
Then we can form two equations from the details given in the question. Based on those details the required answer to the question can be easily deduced.
3x + 8y = 14.50
And
6x + 4y = 14
Dividing both sides of the equation by 2 we get
3x + 2y = 7
2y = 7 - 3x
y = (7 - 3x)/2
Putting the value of y from the second equation in the first equation we get
3x + 8y = 14.50
3x + 8[(7 - 3x)/2] = 14.50
3x + 4 (7 - 3x) = 14.50
3x + 28 - 12x = 14.50
- 9x = 14.50 - 28
- 9x = - 13.5
9x = 13.5
x = 13.5/9
   = 1.5
Putting the value of x in the second equation we get
6x + 4y = 14
(6 * 1.5) + 4y = 14
9 + 4y = 14
4y = 14 - 9
4y = 5
y = 5/4
   = 1.25
So we can find from the above deduction that the cost of 1 apple is 1.5 dollars and the cost of 1 pear is 1.25 dollars
Then
Cost of 2 apples = 2 * 1.5 dollars
                           = 3.0 dollars
So the cost of 2 apples is $3 and the cost of 1 pear is $1.25.
5 0
3 years ago
What is the slope of the line parallel to y= 5x+2.<br><br> A. -1/5<br> B. -5<br> C. 5<br> D. 1/5
oee [108]

Answer:

slope = 5

Step-by-step explanation:

Parallel lines have the same slope

Equation: y = mx + b

So, slope m = 5

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3 years ago
PLEASE HURRY, BRAINLIEST??
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Answer:

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Step-by-step explanation:

4 0
3 years ago
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Answer:

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Step-by-step explanation:

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More generally:

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3 0
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Plot a graph for the following data recorded for an object falling from rest
shusha [124]
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  2. The relationship between the variables is direct variation.
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<h3>What is a graph?</h3>

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a Cartesian coordinate, which are the x-axis and y-axis.

In this exercise, you're required to plot a graph for the data (velocity and time) recorded for an object that is falling from rest.

Based on the graph for the data (see attachment), we can logically deduce the following points:

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  • The relationship between the variables is direct variation.
  • After 4.5 seconds, I expect the velocity to be equal to 140 ft/s.
  • The amount of time required for the object to attain a speed of 100 ft/s is 3.2 seconds.

Read more on graphs here: brainly.com/question/25875680

#SPJ1

Complete Question:

Plot a graph for the following data recorded for an object falling from rest

a. What kind of a curve did you obtain?

b. What is the relationship between the variables?

c. What do you expect the velocity to be after 4.5 s?

d. How much time is required for the object to attain a speed of 100 ft/s?

7 0
2 years ago
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