In the question there are numerous information's of immense importance already given. Let us write them down first
Distance traveled by bike = x km
Distance traveled by bus = y km
Total distance traveled by George and Carmen = 325 km
Then
x + y = 325
Another equation can be determined by
x - y = 75
x = y + 75
Now we will put the value of x in relation to y in the first equation.
x + y =325
y + 75 + y = 325
2y = 325 - 75
2y =250
y = 250/2
= 125 km
Now putting the value of y in equation given below, we get
x + y = 325
x + 125 = 325
x = 325 - 125
= 200 km
So the distance they biked is 200 km and the distance they traveled by bus is 125 km.

6 0

3 years ago

Which equation represents a line that passes through (-2, 4) and has a slope of 2/5

Ulleksa [173]

Answer:

The equation of line is $5(y-4) = 2( x+2)$

$2 x-5 y+24=0$

Step-by-step explanation:

Given slope is $m = \frac{2}{5}$ and passes through (-2,4)

$y-y_{1}= m(x-x_{1} )$

$y-4 = \frac{2}{5}(x-(-2))$

$5(y-4) = 2( x+2)$

$2 x-5 y+24=0$

8 0

3 years ago

Find two consecutive odd integers such that 32 more than the lesser is three times the greater

Maslowich

Answer:

First odd number = 13

Second odd number = 15

Step-by-step explanation:

Let

First odd number = 2x + 1

Second odd number = 2x + 3

According to given conditions:

32 + 2x + 1= 3 (2x + 3)

33 + 2x = 6x + 9

Taking terms with x to left and constants to right

2x - 6x = 9 - 33 (sign of transferred terms will be changed)

-4x = -24

Dividing both sides by -4

x = -24/-4

x =6

So,

First odd number = 2x + 1 = 2*6 + 1 = 12 + 1 =13

Second odd number = 2x + 3= 2*6 +3= 12 + 3 = 15

I hope it will help you!

4 0

3 years ago

It says to find the area of the figure but I have no idea what to do

Westkost [7]

2.5 is also on the top and try multiplying 2.5 and 10

6 0

3 years ago