Answer:
The cost of the system is $163 and The cost of the games is $489
Step-by-step explanation:
∵ A video game system and several games are sold for $652
∵ The cost of the games is 3 times as much as the cost of the system
→ Assume that the cost of the system is $x
∵ The cost of the system = x
∴ The cost of the games = 3 × x = 3x
∵ The total cost of the system and the games = 652
→ Equate the sum of the cost of the system and the cost of the games
by 652
∴ x + 3x = 652
→ Add the like terms in the left side
∴ 4x = 652
→ Divide both sides by 4 to find x
∵ 
∴ x = 163
∵ The cost of the system = x
∴ The cost of the system is $163
∵ The cost of the games = 3x
∴ The cost of the games = 3(163) = 489
∴ The cost of the games is $489
I'd turn the fraction into a decimal. 56.25% but the answer in simplest form is <span>-5/7(2/5). i hope this helped you. :)</span>
Answer:
6.83 units
Step-by-step explanation:
Let the height of the original pyramid be represented by h. Then the cut off top has a height of (h -2). The scale factor for the area is the square of the scale factor for height, so we have ...
(height ratio)^2 = 1/2
((h -2)/h)^2 = 1/2
(h -2)√2 = h . . . . . . square root; multiply by h√2
h(√2 -1) = 2√2 . . . . add 2√2 -h
h = (2√2)/(√2 -1) ≈ 6.8284 . . . units
The altitude of the original pyramid is about 6.83 units.
Y = -3x + 6....the slope here is -3. A parallel line will have the same slope.
y = mx + b
slope(m) = -3
(-4,7)....x = -4 and y = 7
now we sub into the formula and find b, the y int
7 = -3(-4) + b
7 = 12 + b
7 - 12 = b
-5 = b
so ur parallel equation is : y = -3x - 5 <==
Answer:
£ 114
Step-by-step explanation:
From the question given above, the following data were obtained:
Price of TV = £ 1200
VAT = 20%
Amount paid = £ 300
Amount paid monthly =.?
Next, we shall determine the VAT. This can be obtained as follow:
VAT = 20% of price of TV
VAT = 20/100 × 1200
VAT = £ 240
Next, we shall determine the total cost of the TV. This can be obtained as follow:
Price of TV = £ 1200
VAT = £ 240
Total cost of TV =?
Total cost = Price + VAT
Total cost = 1200 + 240
Total cost = £ 1440
Next, we shall determine the balance amount he needs to pay. This can be obtained as follow:
Total cost = £ 1440
Amount paid = £ 300
Balance amount =?
Balance = Total cost – Amount paid
Balance = 1440 – 300
Balance = £ 1140
Finally, we shall determine the amount Harry will pay month.
Balance Amount = £ 1140
Number of months = 10
Amount paid monthly =.?
Amount paid monthly = Balance / number of month
Amount paid monthly = 1140 / 10
Amount paid monthly = £ 114
Therefore, Harry will pay £ 114 monthly.
