Answer:
27
Step-by-step explanation:
Let :
Number of 40¢ = x
Number of 22¢ = 4x + 3
Total stamp value = $8.34 = (8.34 * 100) = 834¢
40¢x + 22¢(4x + 3) = 834¢
40x + 88x + 66 = 834
128x = 834 - 66
128x = 768
x = 768 / 128
x = 6
Number of 22¢ stamp:
4(6) + 3 = 24 + 3 = 27
Answer:
x= -1
Step-by-step explanation:
<u><em>START</em></u> 29 - 6x = 5(1 - 6x)
1. Distribute
29 - 6x = 5 - 30x
2. Isolate the variable
~ <u>2a</u>. Add 30x to both sides
29 - 6x + 30x = 5 - 30x + 30x
~ <u>2b</u>. Subtract 29 from both sides
29 - 29 - 6x + 30x = 5 - 29 - 30x + 30x
3. Simplify
24x = -24
4. Solve
x = -1
<em><u>END</u></em>
Answer:
The force is 12 N
Step-by-step explanation:
* Lets explain how to solve the problem
- Direct variation is a relationship between two variables that can
be expressed by an equation in which one variable is equal to a
constant times the other
- If y ∝ x , then y = kx , where k is the constant of variation
* Lets solve the problem
- The force acting on the object varies directly with the object's
acceleration
∵ The force is F in newtons and a is the acceleration is m/s²
∴ F ∝ a
∴ F = ka
- To find k substitute F and a by the initial values of them
∵ A force of 10 N acts on a certain object, the acceleration of the
object is 5 m/s²
∵ F = 10 N when a = 5 m/s²
∵ F = ka
∴ 10 = k(5)
- Divide both sides by 5
∴ K = 2
- Substitute the value of k in the equation
∴ F = 2a
- Lets find the force when the acceleration is 6 m/s²
∵ a = 6 m/s²
∴ F = 2(6) = 12
* The force is 12 N
Answer:
Domain=x:x is a natural number less than 6: x≠4
Range= x:x is a natural number, 3>=x<=1
