Answer:
121 x 59 (Dimensions)
Step-by-step explanation:
6x + 6 = 360
Take away 6 from both sides
6x = 354
Divide both sides by 6
x = 59
The length is 2x + 3 because it says 3 more than double the width (lenght is x). You have 2 widths and 2 lengths. The two widths are both x (2x). The two lengths are both 2x + 3 (4x + 6). 2x + 4x + 6 = 6x + 6.
Now input 59 for x
2(59) + 3 = 121
x = 59
Check Your Answer
121 is just one length and 59 is just one width, so you have to multiply both sides by 2 because you have 2 widths and 2 lengths.
121 x 2 = 242
59 x 2 = 118
242 + 118 = 360
The first one is similar to the triangle
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:
13/14
Step-by-step explanation:
3/7+1/2
LCM = 14
6/14+7/14=13/14
