Answer:
Eudora spent 0.5 hours from home to library and 1.5 hours from library to school
Step-by-step explanation:
Given
Home to Library:
-- Average Speed
Library to School
-- Average Speed
Total
Required
Determine the time taken from home to library and from library to school
Let the time spent from home to library be x. So, from library to school will be: 2 - x
So, we have:
Home to Library:
-- Average Speed
-- Time
Library to School
-- Average Speed
-- Time
Distance is calculated as:
Home to Library:
Library to School:
The total distance is 120km. So, we have:
Collect Like Terms
Solve for x
Recall that:
So, we have:
Answer:
80 centimeters taller
Step-by-step explanation:
First, convert Alex's height from meters to centimeters by multiplying by 100 because there are 100 centimeters in one meter to get 160 centimeters. Now multiply 160 centimeters by 1.5 to get Noah's height, 240 centimeters. Finally, since we need to find their difference in height, subtract Alex's height of 160 centimeters from Noah's height of 240 to get 80 centimeters.
the final price of the wind chime is $29.925 .
<u>Step-by-step explanation:</u>
Here we have , A home improvement store sold wind chimes for $30 each. A customer signed up for a free membership card and received a 5% discount off the price. Sales tax of 5% was applied after the discount. We need to find What was the final price of the wind chime . Let's find out:
Initially we have , 5% discount in $30 i.e.
⇒ (30(5))/100
⇒ (150)/100
⇒ $1.5 , So now price becomes $30 - $1.5 = $28.5 . At this amount there's 5% tax i.e.
⇒ (28.5(5))/100
⇒ (142.5)/100
⇒ $1.425
So now price becomes $28.5 + $1.425 = $29.925 . Therefore , the final price of the wind chime is $29.925 .
10 inches x 8 inches.
You can get this by creating two equations.
xy = 80 and 2x + 2y = 36
Then you can solve the first one for either variable. Once you do that you can substitute it into the other equation and solve. You'll get a quadratic equation which will give you both parts of the answer.
Let x be the money distributed to the first group and y be the money distributed to the second group.
Then, x + y = 1000
Let c be the money distributed to one child in the first group and b be the money distributed to one brother in the second group.
Then, x = 5c and y = 2b
Hence 5c + 2b = 1000.
