Hello there!
For this you simply need to give both fractions a common denominator!
The easiest way to do this specific problem would be to make the denominator 12. Why 12? Because 4 x 3 = 12.
So:
1/4 --> ?/12 --> 1 (3) / 12 --> 3/12
2/3 --> ?/12 --> 2 (4) / 12 --> 8/12
Total amount of time means the sum (adding them together).
When adding fractions, you MUST have a common denominator! (Which is what we just did).
So 3/12 + 8/12 = (8+3) / 12 = 11/12 hours
Notice how the denominator stayed the same? When adding/subtracting fractions, the denominator stays the same! :)
Hope this helped!
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Answer:
86 ft
Step-by-step explanation:
<em>First method: Logical thinking</em>
Think of the position 34 ft below sea level as -34.
The position above sea level is 52.
You need to find the distance between -34 and 52.
You go from 34 ft below sea level, -34 to 0. That is 34 ft.
Then you go from sea level, 0 ft, to 52 ft above sea level. That is 52 ft.
The total is 34 ft + 52 ft = 86 ft
Answer: 86 ft
<em>Second method: Calculate a distance in math</em>
The distance between two points on a number line is the absolute value of the difference of their coordinates. The coordinates are -34 and 52. Subtract the numbers in either order, and take the absolute value of the difference.
|-34 - 52| = |-86| = 86
If you did it in the other order, you'd get the same answer.
|52 - (-34)| = |52 + 34| = |86| = 86
Answer: 86 ft
F(x) = 5 + 2x where x is the number of times he walks the neighbours dog
y-intercept is at y=5 and slope = 2
g(x) :- As x increases by 4 g(x) decreases by -8 so the slope is -8/4 = -2
when x = 0, g(x) = the y intercept is at -1 + (-8/2) = - 5
so equation of g(x) is g(x) = -5 -2x
h(x):- the slope is (3 - 5) / (1 - 0) [ difference in y values / diff in x values]
slope = -2
so we have h(x) = -2x + c where c = the y-intercept
when x = 0 h(x) = 5
so c = 5
h(x) = 5 - 2x
Now j(x)= 2x - 5 - slope is 2 and y intercept = -5
Answer:
Step-by-step explanation:
Use Pythagorean to find the missing side x of the triangle.
<u>It is a hypotenuse with other sides 18 in and half of 15 in:</u>
<u>The perimeter is:</u>
