Answer:
16.5 hours
Step-by-step explanation:
The bicycle costs $240. Eva already has $42. She is making $12 per hour.
240 = 12x + 42
Solve for x to find out how many hours Eva needs to work to buy the bicycle.
240 = 12x + 42
240 - 42 = (12x + 42) - 42
198 = 12x
198/12 = (12x)/12
16.5 = x
Eva needs to work 16.5 hours to be able to buy the bikw.
the square root of 5000 is 71 (rounded to the nearest)
Answer:
Bobby around 131 minutes and Billy around 111 minutes
Step-by-step explanation:
To solve the problem it is important to raise equations regarding what happens.
They tell us that Billy (Bi) and Bobby (Bo) can mow the lawn in 60 minutes. That is to say that what they prune in a minute is giving as follows:
1 / Bo + 1 / Bi = 1/60 (1)
They say Billy could mow the lawn only in 20 minutes less than it would take Bobby, therefore
1 / Bi = 1 / (Bo-20) (2)
Replacing (2) in (1) we have:
1 / Bo + 1 / (Bo-20) = 1/60
Resolving
(Bo - 20 + B0) / (Bo * (Bo-20) = 1/60
120 * Bo - 1200 = Bo ^ 2 - 20Bo
Rearranging:
Bo ^ 2 - 140Bo -1200 = 0
Now applying the general equation
Bo = 130.82 or Bo = 9.17, <em>this last value cannot be because Billy took 20 minutes less and neither can he prune faster than the two together</em>, therefore Bobby only takes around 131 minutes and Billy around 111 minutes
Checking with equation 1:
1/131 +1/111 = ~ 1/60
Answer:
C) 33 meters
Step-by-step explanation:
In this question, we need to find the value of the variable "x".
To do this, we must use the Pythagorean theorem: a² + b² = c²
Plug in your values and solve:
56² + b² = 65²
3,136 + b² = 65²
3,136 + b² = 4,225
Subtract 3,136 from both sides.
b² = 1,089
To cancel out the exponent, we would square root both sides.
√b² = √1,089
b = 33
This means that C) 33 meters will be your answer.
