Convert 1 3/5 to an improper fraction;
-1 × 5 + 3/5 ÷ -2/3
Simplify 1 × 5 to 5
-5 + 3/5 ÷ -2/3
Simplify 5 + 3 to 8
-8/5 ÷ -2/3
Use this rule: a ÷ b/c = a × c/b
-8/5 × 3/-2
Use this rule; a/b × c/d = ac/bd
-8 × 3/5 × - 2
Simplify 8 × 3 to 24
-24/5 × -2
Simplify 5 × -2 to -10
- 24/-10
Move the negative sing to the left
-(-24/10)
Simplify 24/10 to 12/5
-(-12/5)
Simplify brackets
12/5
Convert to a mixed fraction
<u>= 2 2/5</u>
Answer:
4 batches
Step-by-step explanation:
First, you need to convert the mix number into a single fraction:
3 1/5 = 16/5 total barrels of coffee beans used
This allows us to divide the numbers easier in the next step.
Next, because each batch uses 4/5 of a barrel of beans, you need to divide 16/5 by 4/5:
(16/5) / (4/5) = 16/4 = 4 batches
(The fives cancel out because they are the same divisor.)
I hope this helps!
-TheBusinessMan
Answer:
x-intercept is (2,0) [The x-intercept means that it takes 2 hours for the temperature to reach 0°C]
y-intercept is (0, -6) [The y-intercept represents the temperature at sunrise, -6°C]
Step-by-step explanation:
<u>Complete Question:</u>
<em>The air temperature is -6 degrees celcius at sunrise and rises 3 degree celcius every hour for several hours. The air temperature after x hours is represented by the function f(x) = 3x - 6. Find the x-intercept and y-intercept and interpret their meaning.</em>
<em />
- The x-intercept is the x-axis cutting point found by setting y = 0 [function = 0]
- The y-intercept is the y-axis cutting point found by setting x = 0
Lets find x-intercept first:
f(x) = 3x - 6
0 = 3x - 6
3x = 6
x = 6/3
x = 2
x-intercept is (2,0)
Now, lets find y-intercept:
f(x) = 3x - 6
f(x) = 3(0) - 6
f(x) = -6
y-intercept is (0, -6)
The x-intercept means that it takes 2 hours for the temperature to reach 0°C
The y-intercept represents the temperature at sunrise, -6°C
Answer:
100
Step-by-step explanation:
25+15+30+40-10=100
Split up the interval [1, 3] into 4 intervals of equal length,

The left endpoint of the
-th interval is

The area under the curve is then approximately
