Answer:
You could use a measurement of 4 centimeters.
The valid range is 2 < x < 8 cms.
Step-by-step explanation:
The third side must either be less than 3+5, that is less than 8 cms and it must be greater than (5-3) = 2 cms. If it is any other length we could not construct a triangle.
Answer:
Given: Principal(P) = $ 5000 , T = 3.5 years and R = 5%.
Using the formula of Simple Interest (I) given by;
.......[1] , where P is the Principal amount of money to be invested, R be the rate of interest and T be the time.
Substitute the given values of P , R and T in [1] we have;


Simplify:

An Ending balance is calculated by subtracting cash outflows, interest paid for financing and principal paid on financing.
Ending Balance = $ 5000 + $ 175 = $ 5,175.
Therefore, the ending balance is $ 5,175
Answer:
17b
Step-by-step explanation:
Total volume of water = amount of water in each bottle x total number of bottles. The equation that relates the number of bottle of water (b) to the total volume of the water (w) in fluid ounces is w = 17b
Answer:
Multiply the rate per hour by the number of hours (n) and add the deposit.
A)
Bike shop x: c = 2.75n + 3.00
Bike shop z: c = 1.75n + 7.00
B) to find when they will cost the same set the equations equal to each other and solve for n:
2.75n + 3.00 = 1.75n + 7.00
Subtract 3 from each side:
2.75n = 1.75n + 4.00
Subtract 1.75n from both sides:
1.00n = 4.00
Divide both sides by 1:
n = 4 hours
All to one side:
4x^2-32x+64 = 0,
divide by 4:
x^2 -8x + 16 = 0
apply formula or see that it is (x-4)^2!, so only x =4 is a root and it is double.