<span>If tickets for the upper deck are 75% of the cost of tickets for the lower deck and lower deck tickets are $42, then tickets for the upper deck $31.50 each. Therefore the answer cannot be A or C, because both of those options misstate the cost of the upper deck ticket. The answer also cannot be D, because it expresses the inequality when the combined number of tickets is greater than $800, which is not what was asked for.
The correct answer is B. 42x + 31.5y ≤ $800. This gives the correct price for upper deck tickets and expresses the correct inequality.</span>
Answer:
7.1 units is the answer
Step-by-step explanation:
Rounding off,
d = 7.1 units
Okay, so first you need know the values of the 4s. The first 4 is 400,000 and the second 4 is 40,000. The values are related because 400,000 is
tenTimes greater than
Answer:
120
240
Step-by-step explanation:
We call the length of first part x
Length of second part = y
In the first scenario, it took the tortoise 110 sec to walk the first part and crawl the second.
So,
We have this equation,
x/4 + y/3 = 110
We take the LCM
(3x + 4y)/12 = 110
When we cross multiply
3x + 4y = 110x12
3x + 4y = 1320 ----- equation 1
For scenario 2
x/3 + y/4 = 100
When we take the LCM
(4x + 3y)/12 = 100
We cross multiply
4x + 3y = 100x12
4x + 3y = 1200 ------ equation 2
We now have two equations and we will solve for x and y using simultaneous linear equation.
3x + 4y = 1320 ----- 1
4x + 3y = 1200 ----- 2
We subtract equation 2 from 1 to get
- x + y = 120
We make y subject
y = x + 120 ----- 3
We put the value of y in equation 3 into equation 1
3x + 4(x + 120) = 1320
3x + 4x + 480 = 1320
7x + 480 = 1320
7x = 1320-480
7x = 840
We divide through by 7
x = 840/7
x = 120
We put value of x in equation 3
y = x + 120
y = 120 + 120
y = 240
120 and 240 are the lengths of the 2 parts of the journey.
Thanks
Answer:
x > -1
Step-by-step explanation:
-3x +3 < 6
-3x < 6 - 3 (subtract 3 from both sides)
-3x < 3 (divide both sides by 3)
-x < 1 (multiply both sides by -1, remember to flip the inequality when multiplying both sides by negative numbers)
x > -1 (answer)
