<em>x =1/3</em>
- Step-by-step explanation:
<em>25ˣ⁺¹ = 125/5ˣ</em>
<em>5²⁽ˣ⁺¹⁾ = 5³/5ˣ</em>
<em>5²⁽ˣ⁺¹⁾ = 5³ : 5ˣ</em>
<em>5²⁽ˣ⁺¹⁾ = 5³⁻ˣ</em>
<em>2(x + 1) = 3 - x</em>
<em>2x + 2 = 3 - x</em>
<em>2x + x = 3 - 2</em>
<em>3x = 1</em>
<em>x = 1/3</em>
Answer:
See below
Step-by-step explanation:
Rule: If the variables are on the same side of the equal sign, they vary INVERSELY.
If the variables are on the opposite side of the equal Sign, they very DIRECTLY.
a) T and V
b) p and T
c) N and V
d) N and T
e) p and N
f) V and P
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<span>
it consists of a rectangle, dimensions L = 4ft and W = 3ft = Ar = 4ft x 3ft = 12 ft^2
</span>then, you have one half of the area of the circle that has diameter R = 3ft - radius will be r = 1.5ft the area of that half will be:
Ac = r^2

/ 2
= (1.5 ft)^2 x 3.14 / 2
= 2.25 ft^2 x 3.4/2
= 7.065 ft^2/ 2
= 3.5325ft^2
A = Ar + Ac
A = 12ft^2 + 3.5325ft^2
A = 15.5325ft^2
<span>At the rate of $2 per square foot, the cost will be:
$ 15.5325*2 = 31.07 </span>
Answer:
P(t) = 10t - 400
Step-by-step explanation:
Selling price of each ticket = $10
Cost of setting up the dance= $400
Profit = Revenue - cost
Revenue = price × quantity
Revenue that will maximize profit = 10t
where t= quantity of tickets that maximises profits
Cost = $400
Profit(t) = Revenue - cost
P(t)= 10t - 400
D) 160 gallons because you get the total miles and divide it by mpg