Answer:
Step-by-step explanation:
1 dime = 10 cents
1 nickel = 5 cents
So,
If there are 15 dimes
=> 15 dimes = 15*10 cents
=> 15 dimes = 150 cents
=> 15 dimes = $1.5
Rest is $0.5
So, for $0.5 we have 10 nickels coins
=> 10 nickels = 10*5
=> 10 nickels = 50 cents
=> 10 nickel coins = $0.5
Together it makes $2.00
Answer:
The simplified sum of these polynomials is 3x^4y - 2xy^5
Step-by-step explanation:
In order to find this, we need to remember that we can only add together like terms in this case, there are only two like terms. Both of the first terms end in x^2y^2. So, we add these two together.
3x^2y^2 - 3x^2y^2 = 0
Since they cancel out, we simply just put the other two terms as our answer.
3x^4y - 2xy^5
Answer:
The answer is A) 12.56 square inches
Step-by-step explanation:
The equation to find the answer is <u>3.14×r²</u>
r standing for radius. To find the diameter, you simply multiply the radius by 2.
Because they already gave us the diameter, the equation to solve this question is <u>3.14×4</u>
<u>3.14×4=</u><u>12.56</u>
Step-by-step explanation:
have a nice day
hope it helps
<h3>Given</h3>
- length, width, and height of a cuboid are x, x, and 2x, respectively
- the cuboid's surface area is 129.6 cm²
- dx/dt = 0.01 cm/s
<h3>Find</h3>
- dV/dt for the given conditions
<h3>Solution</h3>
The equation for surface area can be written
... A = 2(LW +H(L +W))
Substituting the given values gives an equation that we can solve for x
... 129.6 = 2(x·x +2x(x +x)) = 10x²
... x = √(129.6/10) = 3.6 . . . . . . . cm
The equation for volume can be written
... V = LWH
Substituting the given values gives an expression for volume in terms of x.
... V = x·x·2x = 2x³
Then the rate of change of volume is
... dV/dt = 6x²·dx/dt
... dV/dt = 6·(3.6 cm)²·(0.01 cm/s)
... dV/dt = 0.7776 cm³/s