1. So first of all we have to divide the 3 fractions into decimals to get a decimal to compare. So 5/6 is the same as 5 divided by 6 which is .83 bar and so on...
5/6= .83 bar
1/4= .25
2/3= .66 bar
So 5/6 and 2/3 are closer to one.
2. The two shortest pieces are 2/3 and 1/4 so you se 1/4 + 2/3. Let’s get a common denominator for these fractions. The common denominator is 12. So multiply 1/4 • 3 to get 3/12 and multiply 2/3 by • 4 to get 8/12. Add them together and you get 11/12. So he would need 1/12 more cable or 0.083 bar.
3. Now we have to find a common denominator for all of them. The common denominator is 12 again. Multiply 5/6•2 and then you get 10/12, then add 10/12 +2/12(from 1/4) and then you get leftover with 9/12 or 3/4 more wire.
Liza is driving to her sister's house 360 miles away. After 4 hours, Liza is 2/3 of the way there.
How many more hours does Liza have to drive?
<em><u>Answer:</u></em>
Liza need to drive 2 more hours to reach her sister house
<em><u>Solution:</u></em>
Given that Liza is driving to her sister's house 360 miles away
So total distance = 360 miles
After 4 hours, Liza is 2/3 of the way there.
So Liza has covered 240 miles in 4 hours
Let us find the speed
<em><u>The relation between distance and speed is given as:</u></em>
Thus speed = 60 miles per hour
Assuming speed is same throughout the journey, let us calculate the time taken to complete remaining distance
Remaining distance = 360 - 240 = 120 miles
Now distance = 120 miles and speed = 60 miles per hour
Thus Liza need to drive 2 more hours to reach her sister house
-4
Because 15x-7x= 8x
8x+5x= 13x
13x= -52
-52 / 13= -4
x = -4
Answer:
y = 3x –5
Step-by-step explanation:
for slope-intercept form, y = mx + b
find the slope, m
(-8 -4)/(-1-3) = m
-12/-4 =m
3 = m
Substitute for m and use either coordinate for y and x to calculate b
4 = 3(3) + b
4 = 9 + b. Subtract 9 from both sides
4 –9 = b
–5 = b. Rewrite the equation with the calculated values for m and b
y = 3x –5
