Answer:
10,000 universes with the smaller number of atoms would fit inside the larger universe
Step-by-step explanation:
The correct question is as follows;
Physicists estimate that there are between 10^78 and 10^82 atoms in the universe. How do these two numbers compare with one another? If the larger number is right, how many universes with the smaller number of atoms would fit inside the larger universe?
Solution
To find the amount of the smaller number of atoms that will fit into the larger, we simply divide
Thus, we have;
10^82/10^78 = 10^4 = 10,000
Answer:
8
Step-by-step explanation:
Let one of the multiples of 8 be 8x and the second multiple of 8 be 8(x+1). Using x and x+1 ensure that the resulting multiples are one multiple apart, or consecutive. Next, recall that these two consecutive multiples of 8 have a product of 2,688. We can thus write the equation:
.
To solve the equation, we must simplify and distribute. We can isolate the non-zero terms on one side the equation and solve the remaining quadratic equation for x:
This means that x=-7 or x=6. Using the positive result x=6 gives the multiples of 8×6 and 8(6+1) or 48 and 56. Subtract the two numbers ot find the difference is 56-48 or 8.
------------------------------------------------------------
Define the two numbers
-----------------------------------------------------------
Let the first number be x.
Let the second number be y.
------------------------------------------------------------
Form equations and solve x and y
------------------------------------------------------------
x + 2y = 14 ------------------ (1)
2x + y = 31 ------------------ (2)
------------------------------------------------------------
Equation (1) x 2
------------------------------------------------------------
2x + 4y = 28 ---------------(1a)
------------------------------------------------------------
Equation (1a) - 2
------------------------------------------------------------
3y = 28 - 31
3y = -3
y = -1
------------------------------------------------------------
Substitute y = -1 into (1)
------------------------------------------------------------
x + 2(-1) = 14
x -2 = 14
x = 14 + 2
x = 16
------------------------------------------------------------
Answer: x =16, y = -1
------------------------------------------------------------
Yes she does, the total would be 19.26 dollars. First you make 7 into a percentage which is 0.07% (move the decimal to the left twice if it is out of 100). You then multiply it by 18, that should be .07x18= 1.26. You then add that 1.26 to the 18 and bam, it equals to 19.26 which is your answer.
Answer:
Step-by-step explanation:
1.5 quarts of grape juice should be mixed with 3/4 quarts of water.
1.5 is the same as 3/2. Our ratio is 3/2 : 3/4
If we multiply everything by 4, things will get even easier to understand.
This gives us a ratio of (4 x 3/2) : (4 x 3/4)...
...or more simply put as 6 : 3
Which is even more simply put as 2:1
so for 15/4 we want
15/4 x 2 = 15/2
or 7.5 quarts if you want to express it once again as a decimal.
(We can also attack the problem by simply considering is all in decimals at the outset; 1.5 quarts grape mixed with 0.75 quarts of water. The 2: 1 relationship is quite obvious looking at this. Once again 15/4 x 2 = 15/2 or seven and a half quarts).