Answer:
The answer is that each brick weights .515 pounds.
Step-by-step explanation:
10 to the 3rd power is 10^3 = 1000 bricks.
The weight of the full truck minus the weight of the empty truck is the weight of the bricks:
6755 - 6240 = 515 pounds of bricks
Pounds per brick:
515 / 1000 = .515 pounds per brick.
Hope this helps! Have a great day!
Answer:
3×5×53
Step-by-step explanation:
You can use divisibility rules to find the small prime factors.
The number ends in 5, so is divisible by 5.
795/5 = 159
The sum of digits is 1+5+9 = 15; 1+5 = 6, a number divisible by 3, so 3 is a factor.
159/3 = 53 . . . . . a prime number,* so we're done.
795 = 3×5×53
_____
* If this were not prime, it would be divisible by a prime less than its square root. √53 ≈ 7.3. We know it is not divisible by 2, 3, or 5. We also know the closest multiples of 7 are 49 and 56, so it is not divisible by 7. Hence 53 is prime.
Let x = # of original members
Cost per person (originally) = 832/x
Cost per person after 6 more people = 832/(x+6)
Solve 832/x=832/(x+6) +6 (because the cost was reduced by 6
Solve for x.
x = 26 or -32 (but x is number of members, so it can't be negative)
# of original members is 26.
Original cost is 832/26 = $32 per person.
Answer:
38 5/28
Step-by-step explanation:
Well start with the whole numbers 24 and 13 This is adding so that means everything has to be added together. 13+24=37 Now, lets go the fractions.
Find the LCD (Least Common Denominator) of 3/4 and 3/7 and rewrite to solve with the equivalent fractions. (remember the Denominator is the BOTTOM PART of the Fraction. Such as the 4 in 3/4.)
LCD = 28
21/28 + 12/28 = 33/28 which can be simplified to 1 5/28. Combining the whole and fraction parts 37 + 1 + 5/28 = 38 5/28 And that will be your answer. Another way you can do this is
converting mixed numbers to fractions Meaning put them in improper form where the numerator (the top number of a fraction is bigger than the denominator such as 4/3) , our initial equation becomes, 99/4 + 94/7
Applying the fractions formula for addition,
(99×7) + (94×4) / 4×7
= 693+376 / 28 =
= 1069/ 28
Simplifying 1069/28, the answer is
= 38 5/28
And one more thing. An easier way to make a mixed number a improper fraction is the multiply the denominator by the whole number then add the numerator and whatever the denominator is it stays for example
38 5/28.
28 times 38 = 1064 then add the 5 and you get 1069! But we aren't done yet, the denominator was 28 so that means the full answer is 1069/28 and that is the Improper fraction form!
Hope this helps! (sorry I took so long)
~R.C aka dj
Answer:
30.25 in decimal form
30 1/4 in fraction form
Step-by-step explanation:
12(3) − 3(1/3) / 4(3)− (5) = 30.25 or 30 1/4
