Answer:
36x+42 if you need it simplified
x=-7/6 if you set the equation equal to zero
Answer:
20%
Step-by-step explanation:
1. subtract the new price from the original price
2. divide the difference by the original number
÷ 
3. multiply this number by 100
Answer:
6 7/12
Step-by-step explanation:
We need to get a common denominator, which is 12
12 1/4 - 5 2/3
12 1/4*3/3 - 5 2/3*4/4
12 3/12 - 5 8/12
We will need to borrow from the 12 since 3/12 is less than 8/12. Write the 1 we borrow as 12/12
11 + 12/12 + 3/12 - 5 8/12
11 15/12 - 5 8/12
6 7/12
Answer:
37.5 miles per hour
Step-by-step explanation:
The traffic along a stretch road moves at an average speed that carried inversely as the number of cars
Average speed= k/number of cars.
When there are 1,500 cars the average speed is 45
The first step is to calculate the constant k
45= k/1500
k = 1,500 × 45
k= 67,500
Therefore the average speed when there are 1,800 cars can be calculated as follows
Average speed= 67,500/1,800
= 37.5 miles per hour
Hence the average speed is 37.5 moles per hour
Answer:
x = 7 and y = −2
(7, -2)
Step-by-step explanation:
x = 1 - 3y
3x + 3y = 15
Substitute −3y + 1 for x in 3x + 3y = 15:
3(1 - 3y) + 3y = 15
3 - 9y + 3y = 15
3 - 6y = 15
-3 -3
-6y = 12
/-6 /-6
y = -2
Now we solve for x. Substitute −2 for y in x = −3y + 1:
x = 1 - 3y
x = 1 + (-3)(-2)
x = 1 + 6
x = 7
Now we check our solution.
x = 1 - 3y
7 = 1 + (-3)(-2)
7 = 7 ✅
3x + 3y = 15
3(7) + 3(-2) = 15
21 - 6 = 15
15 = 15 ✅
