Answer:
5.74
Step-by-step explanation:
fx=5(x+4)-6
f(19)=5(19+4)-6
19f=5(23)-6
19f=115-6
19f=109
f=109÷19
f=5.74 or 19 14/19
That's easy if there is 100 chairs there would be 10 rows with ten chairs in each row
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
Using SOH CAH TOA, you have the Opposite side and you need to work out the Hypotenuse so you will use SOH. This means that the opposite divided by the sine of the angle is the hypotenuse: 18/sin(35) = x = 31.4
Something to remember is how to multiply terms with same bases, but different exponents:
Essentially, we add the exponents.
Using the information above, we can find our answer:
Our answer is 
, or A.
