Answer:
5 1/3 x+8 1/2 =3 1/3 ?
the correct answer is -1.774
Step-by-step explanation:
51/3x + 81/2=31/3 In order to find x, we follow BODMAS rule
so we have,[ 51/3] x + 81/2 =31/3
we have 51x/3 + 81/2=31/3
we collect the like terms;
51x/3= 31/3- 81/2
finding the lcm
51x/3= 2[31} - 3{81}/6
51x/3= 62-243/6
51x/3= -181\6
by using cross multiplication
we have;
6{51x}= 3{-181}
306x = -543
divide both sides by 306
we have;
x = - 1.774
check your answer from
306x=-543
306{-1.774}= -543
-543= -543
The water draining would be continuous because it is not squirting out in amounts it’s flowing out
In 8 years Damon will be 16 year's old.
We have Nora who 3 time as old as Damon and in 8 years she will be only 2 time as old as Damon.
We have to determine how old will Damon be in 8 years.
<h3>If your present age is x and your sister is 4 years elder than you. Than what will be her age after 5 years from now.</h3>
Your present age = x.
Hence, your sister's present age = x + 4.
After five years, your age = x + 5.
Hence, your sister's age will be = x + 9.
According to question, we have -
Assume that the present age of Damon is x.
Then, Nora's age will be = y = 3x.
After 8 years -
Damon's age = x + 8
Nora's age = 3x + 8
Therefore -
3x + 8 = 2(x + 8)
3x + 8 = 2x + 16
x = 8
Hence, in 8 years Damon will be = 8 + 8 = 16 year's old.
To solve more questions on Age determination, visit the link below -
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Answer: 20 ft³
Step-by-step explanation:
volume of triangular pyramid = 
- b = base area = 10 ft
- h = height = 6 ft
Therefore, the volume is:

Answer: Integers and Rational Numbers
Explanation: -2 is an integer because integers include positive an negative numbers. It would not be a whole number or a Naural number because both of those sets only include positive numbers. Here’s a better explanation:
Natural numbers: Natural Numbers are like (1,2,3....). They only include positive numbers. Therefore, -2 does not belong in this category.
Whole Numbers: Whole Numbers are like (0,1,2,3....). They include all the natural numbers with 0. Therefore, -2 does not belong in this set.
Integers: Integers include both positive and negative numbers. They are like (-3,-2,-1,0,1,2,3....). Since they both have positive and negative numbers, -2 would belong in this set.
Rational Numbers: Rational Numbers include ALL the sets that were described. (Natural, Whole, Integer). Since this set also includes positive and negative numbers, -2 would belong in this set.
So, -2 belongs in Integers and Rational Numbers
Hope this helps!