Answer:
Yes it would
Step-by-step explanation:
Lanie's room is in the shape of a parallelogram.
Lanie has a rectangular rug that is 6 feet wide and 10 feet long.
Area of a rectangle = Length × Width
Area of the rectangular rug = 10 feet × 6 feet
= 60 square feet
We are told that:
The floor of her room is shown below and has an area of 108 square feet.
Hence, the rug would fit on the floor of her room because it's area is within the area of the floor of her room.
The linear equation is y = -x - 6
Step-by-step explanation:
To form a linear equation from two points lie on the line which the equation represented it
- Find the slope of the line by using the formula
- Then use the slope-intercept form of the equation y = m x + b
- To find the value of b substitute x and y of the equation by the coordinates of one of the two given points
∵ Points (-2 , -4) and (-3 , -3) lie on the line
∴ 
= -2 and 
= -3
∴ 
= -4 and 
= -3
- Substitute these values in the formula of the slope
∵ 
∴ m = -1
∵ The form of the equation is y = m x + b
∵ m = -1
∴ y = (-1) x + b
∴ y = -x + b
To find b substitute x and y in the equation by the coordinates of
point (-2 , -4) OR (-3 , -3)
∵ x = -3 and y = -3
∴ -3 = -(-3) + b
∴ -3 = 3 + b
- Subtract 3 from both sides
∴ -6 = b
∴ The equation is y = -x + (-6)
∴ y = -x - 6
The linear equation is y = -x - 6
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Answer:
Both statements are sufficient to answer the question
Step-by-step explanation:
Given:
- The paint mixture has following proportions:
Total volume of paint = T
Blue: x*T / 100
Green: y*T/100
Red: z*T/100
Find:
Statement 1: x = y
Statement: z = 60
Which of the above statement is sufficient to calculate the amount of green paint used
Solution:
Statement 1:
- The amount of blue paint used is:
1 gallon = x*T / 100
- x = y,
1 gallon = y*T / 100
Hence,
Amount of green paint used is 1 gallon
- The statement is sufficient
Statement 2:
- The amount of red paint used is:
3 gallon = z*T / 100
T = 300 / z = 300 / 60 = 5 gallons
T = R + B + G
G = T - R - B
G = 5 - 3 - 1
G = 1 gallons
Hence,
Amount of green paint used is 1 gallon
- The statement is sufficient
1) 6/14 divide by 2 = 3/7
2) 9/12 divide by 3 = 3/4
3) 15/25 divide by 5 = 3/5
