If one-sixth of a certain number is four more than one-twelfth the number, the required number will be 48.
Let the unknown number be 'a'
One-sixth of the number is expressed as 1/6 a ..... 1
One-twelfth the number is also expressed as 1/12 a
Four more than one-twelfth the number will be written as:
1/12 a + 4 .... 2
Equating 1 and 2 will give:
1/6 a = 1/12 a + 4
a/6 = a/12 + 4
Collect the like terms
Find the LCM
Cross multiply
a = 12×4
a = 48
This shows that the required number is 48
Learn more on equations here: brainly.com/question/14034270
A rhombus has four congruent sides and pairs of congruent angles opposite each other. However, right angles are not required for a rhombus.
Answer:
y < 1/5x - 2
Step-by-step explanation:
bc the line is dotted and the graph is shaded down, the sign is < (less than y)
the y intercept is -2, and the slope is 1/5, which you can find both of these using the given points
Answer:
An experimental study
Step-by-step explanation:
An experimental study should be used. This will enable the energy drink manufacturer to have an experimental group and control group. Using experimental study, the effect of independent variables on the dependent variables can be determined with the amount of the drink consumed as the controlled factor.
Answer:
≈ 23 years
Step-by-step explanation:
Initial price= $995
Value increase= 3.1%
a) $995 +3.1%= $995*1.031= $1025.85
b) $995*1.031^x= $2000
1.031^x= 2000/995
1.031^x= 2.01
x= log 2/log 1.031= 22.7 ≈ 23 years