Answer:
200 litres
Step-by-step explanation:
let g be gasoline used, d the distance travelled and s the speed, then the equation relating the quantities is
g = kd
← k is the constant of variation
To find k use g = 25, d = 100 and s = 100, then
25 = k × 100 ×
= k × 100 × 10 = 1000k ( divide both sides by 1000 )
0.025 = k
g = 0.025d
← equation of variation
When d = 1000 and s = 64, then
g = 0.025 × 1000 ×
= 0.025 × 1000 × 8 = 200
9514 1404 393
Answer:
2876 books
Step-by-step explanation:
If we let y1 and y2 represent the costs from method 1 and method 2, then we have, for x books published, ...
y1 = 12841 +24.25x
y2 = 48072 +12x
These costs will be equal when ...
y1 = y2
12841 +24.25x = 48072 +12x
12.25x = 35231 . . . . . . . . . . . . . subtract 12841+12x
x = 2876 . . . . . . . . . . divide by 12.25
The costs will be the same for production of 2876 books.
Answer:
x=81
Step-by-step explanation:
49+32=81
Answer:
1. f-2
2. 12z+15
Step-by-step explanation:
1. ¼(4f - 8)
1/4 * 4f - 1/4 *8
f -2
2. (-8z - 10)(-1.5)
-8z* (-1.5) - 10 * (-1.5)
12z +15
Answer:


Where 
And replacing we got:

And solving we got:

Where 
And the possible solutions are:

Step-by-step explanation:
For this case we use the equation given by the image and we have:

We can rewrite the last expression like this if we multiply both sides of the equation by -1.

Now we can use the quadratic formula given by:

Where 
And replacing we got:

And solving we got:

Where 
And the possible solutions are:
