Answer:
Mr.Kim is presently 40 years old, and his daughter is 15 years old.
Step-by-step explanation:
K is Mr Kim's present age
D=his daughter's present age.
K=D+25 ; or Mr.Kim is his daughter's age plus 25 years.
K+10=2(D+10); or in 10 years, Mr Kim will be twice daughters age
Substitute the K from the first equation into the second equation and then solve for variable D.
(D+25)+10 = 2(D+10) Simplify.
D+35 = 2D+20 You must subtract D from both sides.
35 = D+20 Lastly, subtract 20 from both sides.
15 = D or D = 15
Mr Kim's daughter's is 15 years old.
Mr Kim's age is D+25
15+25 = 40 years old.
Answer:
I do not agree because Mario's claim is not general.
Step-by-step explanation:
Prime numbers: These are a set of numbers that are divisible by 1 and itself only. Examples are: 2, 3, 5, 7. 11 etc.
And a denominator is the divisor in a given fraction.
Considering the following fractions whose denominators are prime numbers:
= 0.66666666...
= 0.142857142
= 0.45454545...
= 0.23076923
= 0.142857142
It could be observed that Mario's claim is not a general principle which is applicable to all fractions with a prime denominator. Thus, I do not agree with his claim.
Answer:
The one in the middle and the one on the right?
Step-by-step explanation:
The answer is x=6/11.
Tiger Algebra is a really good tool for algebra if you need some help.
Hope that helped! :)
Answer:
a) 50.24 ft²
b) 150.72 ft²
Step-by-step explanation:
Jason is painting a large circle on one wall of his new apartment. The largest distance across the circle will be 8 feet.
The distance across a circle is also called a diameter, Hence,
D = Diameter = 8 ft
The Area of a circle = πr²
r = Diameter/2 = 8ft/2 = 4ft
π = 3.14
Hence,
The Area of the circle = π × (4 ft)²
= 50.24 ft²
a) Approximately the amount of wall the circle will cover is 50.24 ft².
b) How much area will he cover if he painted a circle on three walls?
This is calculated as:
1 wall = 50.24 ft²
3 walls = x
Cross Multiply
x = 3 × 50.24 ft²
x = 150.72 ft²
