Bill's pencil would be 4 1/2 inches long.
6- 1.5= 4.5
Answer:
x∉R
Step-by-step explanation:
1) Solve the quadratic equation 9x²-18x+14=0 using x=(-b±√b²-4ac)/2a:
x=(-(-18)±√(-18)²-4×9×14)/2×9
2) Evaluate the power, calculate the product and multiply the numbers:
x=(18±√324-504)/18
3) Calculate the difference:
x=(18±√-180)/18
4) The square root of a negative number does not exist in the set of Real Numbers:
x∉R
The lost pair of weight can be found by subtracting the a known pair from
the total weight leaving the value of the lost pair.
<u>The lost weight of a pair of boys is 120 kg</u>
Reasons:
Let <em>a</em>, <em>b</em>, <em>c</em>, and <em>d</em><em> </em>represent the weights of the four boys, we have;
The number of ways of selecting pairs (two boys) of boys from a group of
four is given using combination formula as follows;

Which gives;

₄C₂ = 6
Therefore, the weights of the pairs are;
a + b = 110
a + c = 112
a + d = 113
b + c = 118
b + d = 121
c + d = Lost weight
a + b + c + d = 230 (given)
Therefore;
The lost weight, c + d = 230 - (a + b)
Which gives;
c + d = 230 - (110) = 120
The lost weight = c + d = 120
- <u>The lost weight = 120 kg</u>
Learn more here:
brainly.com/question/12974932
Answer:
27 minutes to complete the painting of 4 walls
Step-by-step explanation:
since 16m with 9p --> 8 walls
x minutes with 4p --> 6 walls?
let x= minutes
6 walls painted=(8/144 walls painted per minute)x
simplify
x= 6 divided by (8/144)
x=108 minutes (to complete 6 walls)
108/4=
27 minutes to complete the painting of 4 walls
Answer:
1577.8 US dollars are received for 1127 UK pounds.
5669.5 UK pounds are received for US$7937.3.
Step-by-step explanation:
The questions are solved by proportions, using a rule of three.
How many US dollars are received for 1127 UK pounds?
1 UK pound = 1.4 US dollars
1127 UK pounds - x US dollars
Applying cross multiplication:

1577.8 US dollars are received for 1127 UK pounds.
How many UK pounds are received for US$7937.3?
1 UK pound = 1.4 US dollars
x UK pounds - 7937.3 US dollars



5669.5 UK pounds are received for US$7937.3.