Answer:
€120
Step-by-step explanation:
Let us represent
Ann = x
Brian = y
Carol = z
€400 is divided between Ann, Brian and Carol
Hence: x + y + z = €400...... Equation 1
Ann has twice as much as Brian
Hence:
x = 2y
Brian has three times as much as Carol.
y = 3z
z = y/3
We substitute
x + y + z = €400...... Equation 1
2y + y + y/3= €400
Multiply both sides by 3
2y × 3 + y × 3 + y/3 × 3 = €400 × 3
6y + 3y + y = €1200
10y = €1200
y = €1200/10
y = €120
How much does Brian receives ?
Since, Brian = y
Brian receives €120
Answer:
Look at the distances
Step-by-step explanation:
vertical and horizontal distances, see how far each vetex is from the center of the dilation. the dilation will be parrell to the image.
Answer:
£3.25
Step-by-step explanation:
You would add £1.25 and £00.50 which is £1.75 then you would do £5.00-£1.75 which is £3.25
The function would be f (x) = 0.4x - 4.
Explanation
We can see that this is linear, since it increases at a constant rate. We find the slope using the formula
m=(y₂-y₁)/(x₂-x₁) = (0.8-0.4)/(12-11) = 0.4/1 = 0.4
We use point-slope form to write the initial equation:
y-y₁ = m(x-x₁)
y-0.4 = 0.4(x-11)
Using the distributive property:
y-0.4 = 0.4*x - 0.4*11
y-0.4 = 0.4x-4.4
Add 0.4 to both sides:
y-0.4+0.4 = 0.4x-4.4+0.4
y=0.4x-4
It will take them 5 Hours to charge the same. The rental charge will be 510.
I did a manual computation per company: My computation is entirely based on trial and error.
Red Bus Co. has a fixed rental rate of 150 and additional rental of 72 per hour while Blue Bus Co. has a fixed rental rate of 240 and additional rental of 54 per hour. Both fixed rental rate are one time charges only and total rental will vary on the number of hours spent in using both vehicles.
Let's start with the Red Bus Co. I will be posting the charges per hour and its running balance. The running balance is the sum.
Fixed Rate 150 Running Balance: 150 => 150 + 0
Hr 1 72 222 => 150 + 72
Hr 2 72 294 => 222 + 72
Hr 3 72 366 => 294 + 72
Hr 4 72 438 => 366 + 72
Hr 5 72 510 => 438 + 72
I'll do the same process with Blue Bus Co.
Fixed Rate 240 Running Balanc: 240 => 240 + 0
Hr 1 54 294 => 240 + 54
Hr 2 54 348 => 294 + 54
Hr 3 54 402 => 348 + 54
Hr 4 54 456 => 402 + 54
Hr 5 54 510 => 456 + 54