Answer:
Step-by-step explanation:
Let the speed of the car is x, then the speed of motorcycle is x + 20
The distance = 120 km
<u>Time:</u>
- 120/x = 120/(x + 20) + 1
- 120(x + 20) = 120x + x(x +20)
- 120x + 2400 = 120x + x² + 20x
- x² + 20x = 2400
- x² + 2*10x + 10² = 2500
- (x + 10)² = 50²
- x + 10 = 50
- x = 40
Speed of the car is 40 km/h
Speed of the motorcycle is 60 km/h
Answer:
He saw <u>1 duck</u> and <u>3 dogs</u>.
Step-by-step explanation:
Given:
Evan went to the park and saw four animals.
Each animal was either a duck or a dog.
He saw a total of 14 legs.
Now, to find the number of each animal he had seen.
Let the number of duck be 
And the number of dog be 
So, total number of animals:
Now, the total number of legs he did see:
<em>As we know the legs of a duck are 2 and a dog are 4.</em>
Adding both sides by -16 we get:
Dividing both sides by -2 we get:
The number of duck = 1.
Now, putting the value of 
in above equation we get:
The number of dogs = 3.
Therefore, he saw 1 duck and 3 dogs.
Answer:
(- 19, - 11, 5, 25)
Step-by-step explanation:
The given function is f(x) = 4x - 7
Now, we have to find the range of the given function for the given domains.
The domains are given as (2 - 5, - 1, 3, 8) i.e. (- 3, - 1, 3, 8).
Therefore, f(- 3) = 4(- 3) - 7 = - 19
f(- 1) = 4(- 1) - 7 = - 11
f(3) = 4(3) - 7 = 5
f(8) = 4(8) - 7 = 25
So, the ranges of the function are (- 19, - 11, 5, 25) (Answer)
1+1+1+1
First, let's do 1+1
1+1=2
and the other 1+1 also equals 2
2+2=4
so the final answer is 4
