Answer:
m = - 3
Step-by-step explanation:
a³ + 27 ← is a sum of cubes and factors in general as
a³ + b³ = (a + b)(a² - ab + b²), thus
a³ + 27
= a³ + 3³
= (a + 3)(a² - 3a + 9)
comparing a² - 3a + 9 to a² + ma + 9, then
m = - 3
Answer: the amount by which her lunch account would have been impacted is $45
Step-by-step explanation:
Each day Valerie charges her lunch account for her lunch. If the cost of lunch is $3 then, it means that Valerie charges the lunch account with $3 daily. It means that in x days, she would have charged her lunch account with 3×x = $3x
If she charged her account for a period of 15 days, it means that x = 15. Therefore, the amount by which her lunch account would have been impacted is 3×15 = $45
To solve for these, we will use formulas and convertions as we go.
For 1:
We are looking for kg (kilograms) to g (grams). 1 g = 0.001 kg.
We have 2.5 kg. This means we must multiply 2.5 by 1,000.
2.5 x 1,000 = 2,500.
1.) is 2,500 grams.
For 2:
This problem has multiple steps, but we will successfully solve it. As of now, we have yards. There are 3 feet in a yard, and 12 inches in 1 ft. We will convert yards to feet, and then feet to inches.
500x3 = 1500, 1500 x 12 = 18,000.
2.) is 18,000 inches.
For 3:
There are 2,000 pounds in 1 ton. Using this, we can determine how many tons we have.
7,000/2,000 = 3.5
3.) is 3.5 tons.
I hope this helps!
Answer:
21 miles
Step-by-step explanation:
you multiple 3.5 miles per hour by 6 hours
