Answer:
a)D= 0.625 Decimal that describes the portion of the workday he has finished
b)P= D*100= 0.625*100=62.5%
P: percentaje
D: Decimal
Step-by-step explanation:
Nomenclature
F: fraction of daily workday
D: decimal of daily workday
P: percentage of daily workday
Formulas
F= a/b
D= a÷b
P= D*100
Problem development
We have:
F = 5/8, then:
D= 5÷8= 0.625
To obtain the percentage of the workday that Matew has completed, we multiply the decimal x 100
P= 0.625*100=62.5%
Answer:
4(x-4.5)^2
Step-by-step explanation:
h(x)=4x^2-36x+81
=4(x^2-9x)+81
=4(x^2-9x+20.25)-(4)(20.25)+81
=4(x-4.5)^2
Answer:nah
Step-by-step explanation:
Answer:
Step-by-step explanation:
The formula for the volume is given by
(side)3=volume
Since we have the volume, we must take the cube root of the volume to find the length of any one side (since it is a cube, all of the sides are equal).
(side)3−−−−−−√3=side=volume−−−−−−√3
Plugging in 216 for the volume, we end up with
side=6 cm
Answer:Mark Is 9 years old; Christine is 5 years old
Step-by-step explanation:
Present age
LET mark age be x
Christine be x-4 yrs
In 3 yrs Time
Mark will be x+3 yrs old
Christine will be (x -4 +3) = x-1 years old
Also, In 3 years time
Christine = 2/3 Mark
such that
x-1 = 2/3(x+3)
x -1= 2x+6 / 3
3x -3= 2x+6
3X--2X = 6+3
=X=9
Mark Is 9 years old
Christine is x -4 = 9-4=5 years old