Answer:
Step-by-step explanation:
The volume of the metal cuboid = length x width x height = 16 x 8 x 3 = 16 x 24 = 384 cm^3
If this same cuboid is going to be reshaped, then
The volume of the cuboid = The volume of the cube
Therefore,
l^3 = 384
l =
l = 7.268..
l = 7.27cm ( 2dp)
Hope this helps.
Answer:
1) 11
2) -8
3) 30
15) 80x - 128
16) 138y
Step-by-step explanation:
For these problems, you will need to use either PEMDAS or distributive property.
PEMDAS stands for parentheses, exponents, multiplication/division, addition/subtraction. Problems must be solved by going in order of the acronym, always starting with anything in parentheses first.
Example of PEMDAS:
2) 8(-3 + 2)
Solve for what's inside the parentheses first. There are no exponents, multiplication, or division within the parentheses so next would be addition and subtraction.
-3 + 2 = -1 so the problem will now look like:
8 (-1)
Next, PEMDAS says to look for exponents. There are none. Multiplication and division are next. 8 is being multiplied by -1 so lets try that:
8 × -1 = -8
-8
Distributive property is when you take the number being multiplied on the outside of the parentheses and multiply it to each individual number within the parentheses.
Example of distributive property:
2) 8(-3 + 2)
Multiply the number on the outside of the parentheses, 8, to each number within the parentheses, -3 and 2:
8 × -3 and 8 × 2
The problem should look like:
-24 + 16
Then solve:
-8
Use whichever method you are most comfortable with as both will produce the same answer. I will solve the first few and the last few to help you.
1)
11(5) - 11(4)
55 - 44
11
3)
6(9) - 4(6)
54 - 24
30
15) *You must use distributive property for these last problems as you cannot add or subtract numbers and variables*
16(5x - 8)
80x - 128
*You can only combine like terms so this is fully simplified*
16)
23y(2 + 4)
46y + 92y
138y
1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,37,39,41,43,45,47,49,51,53,55,57,59,61,63,65,67,69,71,73,75,77,79,81,83,85,87,89,91,93,95,97,99
First, we need to get X by itself.
Subtract the 7 to both sides.
7-6x=41 ---> 6x = 34
Divide 6x on both sides to exclude the x, and make it by itself.
6x = 34 ---> 5.6
Therefore we can conclude the answer to this is 5.6
x = 5.6
From the average (40 pounds) , we can find out the total weight of all seven dogs.
40x7=280 pounds
To find the weight of the seventh weight of the dogs, you can subtract the total weight of all seven dogs by the combined weight of the six dogs we already know.
Weight of six dogs:
71+34+15+18+56+?=194+?
Weight of the seventh dog:
280-194-?=86-? pounds
If you can find out all six dog's weight (we only know five), then I can tell you the full answer. Thanks