Answer and Step-by-step explanation:
The cost of all the 6 magazines are: 6x
The cost of all the 9 newspapers are 9(x-3)
So, the total cost is the sum of all the items:
6x + 9(x-3) = 51
6x + 9x - 27 = 51
15x = 78
x = 5.2
Since the cost of one magazine is $x, the cost will be $5.20.
Answer: 5.475 x 10^8
Step-by-step explanation: The number has to be in between 1 and 10 so you move your decimal as many times as you need to. In this situation it is 8, so that is your power
Answer:
The GCF for 84 and 90 is 6.
Step-by-step explanation:
The factors of 84 are: 1, 2, 3, 4, <u>6</u>, 7, 12, 14, 21, 28, 42, 84
The factors of 90 are: 1, 2, 3, 5, <u>6</u>, 9, 10, 15, 18, 30, 45, 90
Then the greatest common factor is 6.
8.2secs
Given the expression for calculating the height as;
h = -16x^2+127x+80
Given h = 40
Substitute
40 = -16x^2+127x+80
-16x^2+127x+80 - 40 = 0
-16x^2+127x+40 = 0
16x^2-127x-40 = 0
Factorize
x = -(-127)±√(-127)²-4(16)(-40)/2(16)
x = 127±√16,129+2,560/32
x = 127±√18,689/32
x = 127±136.71/32
x = 127+136.71/32
x = 263.71/32
x = 8.24
Hence the required time to the nearest tenth is 8.2secs