Answer:
The answer is 120km.
Step-by-step explanation:
We can set up the proportion that for every 54 liters, the car will go 648km.
This means that 54/648 = petrol/distance.
If we substitute 10 for petrol, we get the equation:
54/648 = 10/x.
We can cross multiply and solve that x = 120.
The length of the dilated line segment is 80 units.
<h3>What is
dilation?</h3>
Dilation is the increase or decrease in the size of a figure or object.
The segment with endpoints (10,40) and (70,120) is dilated by a factor of 4/5 to get (8, 32) and (56, 96).
The distance between points (8, 32) and (56, 96) is:
The length of the dilated line segment is 80 units.
Find out more on dilation at: brainly.com/question/10253650
If you let X = the distance in miles from Dales's house, and understand rate = distance/ time, the rate going to mountains = x/7, and back from mountains is x/5. If dale was 18mph fast going home, the equation would be...
(coming home rate) = (going to mountain rate) + 18 which is
x/5 = x/7 + 18. Then solve for X.
Use the least common denominator = 35 so multiply everything by 35 and you get...
7x = 5x+630
simplify...
2x = 630, then
x = 315 .
Dale live 315 miles away from the mountains.
Answer:
B
Step-by-step explanation:
The vertical uprights on both sides of the number 8 mean to take the absolute value.
To get the absolute value of a number is really simple. If it negative, then make it positive by taking away the minus sign. If it positive, then do nothing.
Now we, -3 and 8 and of course the solution is '<' because -3 is less than 8.
Hope this helps!
