Answer:
47.25 + 23.75 = 71
Step-by-step explanation:
Answer:
14 miles.
Step-by-step explanation:
Let the distance traveled from home to destination = x miles.
Speed while going to friend's house = 35 miles per hour.
Speed while coming back = 40 miles per hour.
Total Time taken for the journey = 45 minutes = 0.75 hours.
Let the time taken while going to friend's house = y hours.
Therefore, the time taken while going to friend's house = (0.75 - y) hours.
To find x and y, model the speeds of both the journeys.
Speed while going to friend's house = Distance/Time.
35 = x/y.
x = 35y (Equation 1).
Speed while coming back = Distance/Time.
40 = x/(0.75 - y).
x = 40(0.75 - y) (Equation 2).
Since x = x, therefore:
35y = 30 - 40y.
75y = 30.
y = 30/75.
y = 0.4 hours.
Put y = 0.4 hours in Equation 1:
x = 35y.
x = 35(0.4).
x = 14.
Therefore, the distance between my friend's house and my house is 14 miles!!!
9) 35% of the 12,000 are 50-64 years old.
12,000 x 0.35 = 4,200
4,200 people were 50-64 years old
10) 25% of 596 people are over 64 years old
596 x 0.25 = 194
194 people were older than 64
11) yes, he is correct because 450 x 10%=45 and 450 x 30%=135
An octagon has 8 sides.
Divide 50 cm / 8 sides.
Each side is 6.25 cm.
Answer: x = 1, y = -3
Explanation: Use the method of substitution we get:
y = x^2-4
y = 2x-5
By substitute:
x^2-4=2x-5
Then we can solve the equation for x
x^2-4-2x+5=0
x^2-2x+1=0
Now solve the quadratic equation by factoring we get:
x^2-2x+1=0
(x-1)(x-1)=0
x-1=0
x = 1
Now that we have found x we can substitute x to the equation:
y = x^2-4
y=1^2-4
y=-3
y=2x-5
y=2(1)-5
y=-3
So there you have it :)
