Answer:
a. No
b. 2.25 days
Step-by-step explanation:
0.75x + 3 = 0.25x + 5.25
a......................
Constants are $3 and $5.25 respectively
Topping costs $0.75 and $0.25 respectively
To have same cost the toppings number would be different as cost is different.
Suppose the number of toppings is x in one shop and y in the other, then the spending if same, we get this equation:
The answer is NO due to two different variables in the equation
b.......................
Constants are $3 and $5.25 respectively
Joseph adds $0.75 each day and Kelsey spends $0.25 each day
Number of days should be same in this case, so variable will be same and the result (amount left in bank) is same.
<u>So the equation for this case is:</u>
<u>Solving, we get:</u>
- 0.75x + 0.25x = 5.25 - 3
- x = 2.25
This is the solution to equation despite being a whole number.
Half-Life Formula:
Amount remaining = (Initial amount)[ (1/2)^(time / half-life) ]
Amount remaining = ?
Initial amount = 200 mg
Time = 2 hours = 120 minutes
Half-Life = 20 mins
---Notice that I changed the time from hours to minutes. The time and half-life time need to be in the same unit.
A = (200)[ (1/2)^(120/20) ]
A = (200)(1/2 ^6)
A = (200)(1/64)
A = 3.125
Answer: 3.125 mg remain
Hope this helps!
Answer:
Step-by-step explanation:
Change g(n) to y
y = 2n - 2
2y - 2 = n
2y = n + 2
y = (n + 2)/2
g^-1(n) = 1/2n + 1
solution is B
Answer:
The height of building to the nearest foot is h = 36 foot
Step-by-step explanation:
We have given,
Length of ladder leaning against a building, l = 45 foot
Bottom length between ladder and the building , b = 27
Now, we need to find the height of building to the nearest foot.
Let the height of building be h.
Using Pythagoras theorem,
Here, l = 45 , b = 27 and h =?
So,
h² = 45² - 27²
h = √(45² - 27²)
h = 36
The height of building to the nearest foot is h = 36 foot
Answer:
Total no. of houses = 140
Step-by-step explanation:
Let there are 9x flats and 5x bungalows.
Total bungalows = 50
It means,
5x = 50
x = 10
No of flats = 9x
= 9(10)
= 90
Total houses = no. of flats + no. of bungalows
= 50+90
= 140
So, there are 140 houses in the village.
