Answer:
81/100
Step-by-step explanation:
Here's how to convert 0.81 to a fraction...
There is not much that can be done to figure out how to write 0.81 as a fraction, except to literally use what the decimal portion of your number, the .81, means.
Since there are 2 digits in 81, the very last digit is the "100th" decimal place.
So we can just say that .81 is the same as 81/100.
So your final answer is: 0.81 can be written as the fraction 81/100
35km; Since the points on the map are one millionth of their actual size, simply multiply by one million and convert from there.
35*1,000,000 = 35,000,000mm
35,000,000/1000 = 35,000m
35,000/1000 = 35km
Answer:
24.75 = 3*4.50 + x*4.50
x= 2.5 pounds of Granny Smith apples
Step-by-step explanation:
Gala apples = 3 lbs
Granny apples = x lbs
They cost 4.50 a pound
Total cost = 24.75
Total cost = gala apples * cost per pound + granny apples * cost per pound
Substitute in what we know
24.75 = 3*4.50 + x*4.50
24.75 = 13.50 + 4.5x
Subtract 13.50 from each side
24.75-13.50 = 13.50-13.50 + 4.5x
11.25 = 4.5x
Divide by 4.50 on each side
11.25/4.5 = 4.5x/4.5
2.5 =x
Answer:
y = -2x -3
Step-by-step explanation:
The line crosses the y-axis at -3, so that is the y-intercept.
It has a "rise" of -2 units for each "run" of 1 unit, so the slope is -2. (For example, from point (-1, -1) to point (0, -3).)
The slope m and y-intercept b are used in the slope-intercept form of the equation of a line:
y = mx + b
For the values this line has, the equation is ...
y = -2x -3
Answer:
The point (56, 1.75) is on the line.
Step-by-step explanation:
Given two points, we can get the slope (m) as follows:
m = (y2 - y1)/(x2 - x1)
where (x1, y1) and (x2, y2) are the points. Replacing with (8, 0.25) and (16, 0.5):
m = (0.5 - 0.25)/(16 - 8) = 0.03125
The point-slope form of a line is:
y - y1 = m(x - x1)
Replacing with data:
y - 0.25 = 0.03125(x - 8)
To know if point (56, 1.75) is on the line, we have to replace x = 56 in the obtained equation and check y-value, as follows:
y - 0.25 = 0.03125(56 - 8)
y - 0.25 = 1.5
y = 1.5 + 0.25 = 1.75
Then, the point is on the line. This means that there are 56 ounces in 1.75 quarts.
