Melissa lives 5/6 of a mile from the bus stop 5/6 of a mile is 0.83
Peter lives 2/3 of a mile from the bus stop, 2/3 of a mile is 0.66 miles
Pete does not live close to the bus stop than Melissa.
Melissa lives 0.83 - 0.66 = 0.17 miles closer to the bus stop
Answer:
The sum of two numbers is 18.
5 times the first number subtracted from 4/7 of the second number is 14.
First number --> x
Second number --> y
so
x + y = 18 --> x = 18-y
5x - (4/7)y = 14
so
5 (18-y) - (4/7)y = 14
90 - 5y - 4/7 y = 14
-5.57 y = 14-90
y = 13.64
so
x = 18 - 13.64
x = 4.36
In order to figure out whether Luis or Isabella skates farther to get to school, we have to create a common denominator between the two fractions that represent the distance that each person walks.
The least common denominator of 3 and 4 is 12. This means that we have to change both fractions into equal fractions with denominators of 12.
To figure this out, we must set up a proportion.
2/3 = x/12
To solve this proportion, we must cross-multiply the fractions. We get:
24 = 3x
If we divide both sides by the coefficient of x which is 3, to get the variable x alone, we get:
x = 8
Therefore, 2/3 = 8/12, so Luis skates 8/12 mile from his home to school.
If we do the same process for the 2/4 mile to get to school for Isabella, we get 6/12, because both fractions are equal to 1/2.
Therefore, we know that Luis skates 8/12 mile to school and Isabella skates 6/12 mile to get to school. Because they have the same denominator, we can just compare the numerators. We know that 8 is greater than 6, thus Luis skates farther to get to school.
Answer:
32 inches^3
Step-by-step explanation:
Volume = 1/2 ( base x height x length)
0.5 ( 4 x 2 x 8) = 32 inches^3
Answer:
Step-by-step explanation:
As the line is perpendicular to , we know that the slope of the line is . As it passes through , we know that it should be .