Answer:
$26.50
Step-by-step explanation:
7.95/3=2.65
2.65*10=26.5
Answer:
The correct answer is Option D. 20
Step-by-step explanation:
From the figure we get,
<RUS = 90° because RU ⊥ TS
<u>To find the value of x</u>
It is given that <RUS = 4x + 54
Therefore we can write,
4x + 54 = 90
4x = 90 - 54 = 36
x = 36/4 = 9
<u>To find RS</u>
It is given that,
RS = 3x - 7 = 3*9 -7 = 20
Therefore the correct option is Option D . 20
Answer: x = 14/23
Step-by-step explanation:
3x-6=4(2-3x)-8x
3x-6=8-12x-8x --> Expand 4(2-3x)
3x-6=8-20x --> Collect like terms
3x-6+6=8-20x+6 --> Add 6 to both sides, to remove it from the right side
3x=-20x+14
3x+20x=-20x+14+20x --> Add 20x to both sides, to remove it from the left side
23x=14
--> Divide both sides by 23
x = 14/23
The balloon has a volume
dependent on its radius
:

Differentiating with respect to time
gives

If the volume is increasing at a rate of 10 cubic m/s, then at the moment the radius is 3 m, it is increasing at a rate of

The surface area of the balloon is

and differentiating gives

so that at the moment the radius is 3 m, its area is increasing at a rate of

Answer: There are 97 nickels and 108 quarters.
Step-by-step explanation:
Let x = Number of nickels, y = Number of quarters.
As per given,
x+y = 205 ...(i)
0.05x+0.25y = 31.85 ... (ii) [1 nickel = $0.05, 1 quarter = $ 0.25]
Multiply (ii) by 20, we get
x+5y=637 ...(iii)
Eliminate (i) from (iii)
4y = 432
⇒ y = 108 [Divide both sides by 4]
Put value of y in (i), we get

Hence, there are 97 nickels and 108 quarters.