Answer:
1/14
Step-by-step explanation:
Odd numbers: 5, 7, 9
3/7 × 1/6
1/14
y = 3x + 12
Select one:
a. 2 /19 comma 2 / 33
b. negative 2 / 19 comma negative 33 / 2
c. negative 19 / 2 comma negative 33 / 2
d. 19 / 2 comma 33 / 2
Answer:
c. negative 19 / 2 , negative 33 / 2
Step-by-step explanation:
x − y = 7
y = 3x + 12
Substitute y = 3x + 12 into x − y = 7
x − (3x + 12) = 7
x - 3x - 12 = 7
-2x - 12 = 7
-2x = 19
x = -19/2
Substitute x = -5/2 into x − y = 7
-19/2 − y = 7
y = -19/2 - 7
y = - 5/2 - 14/2
y = -33/2
Answer:
x = -19/2, y = -33/2
Please answer these two math questions for me :)
Answer:
Step-by-step explanation:
To solve by factoring, complete the square by dividing 8 from 8x in 2. Then square the result 4 to get 16. Add 16 to both sides.
The equation is now factored. To solve, take the square root of both sides and solve for x.
*Your Highness," he says. "I have the plans for the toy
dragons. If it pleases you, every 3rd dragon shall billow
clouds of smoke through its nostrils. every 4th dragon shall
breathe fire, every 6th dragon shall have glowing eyes, and
every 8th dragon shall have a tail with spikes on it. i shail
make 100 dragons." The king asks. Sir Dwayne, how many
dragons shall have more than one of these
characteristics?" Sir Dwayne doesn't have the answer. Can
you help him answer the king before he is thrown into the
dungeon?
Answer:
Explanation:
Any multiple of 3 and 4shall blow clouds of smoke through its nostrils and breathe fire. Those are:
Hence, that is 8 dragons that shall have both characteristics.
Any multiple of 6 shall have glowing eyes. The common multiples of 6 and 3 are: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, and 96.
Then, that adds:
Hence, add 8 more dragons.
And the common multiples of 6 and 4 are: 12, 24, 36, 48, 60, 72, 84, and 96, all of which are already included.
Any multiple of 8 shall have a tail with spikes on it. Then, you must find the common multiples of 8 and 3, 8 and 4, and 8 and 6.
Common multiples of 8 and 3 are: 24, 48, 72, and 96, which are already included.
Common multiples of 8 and 4 are: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, and 96. Then, you must add:
Those are other 8 dragons.
At the endthe number of dragons that shall have more than one of these characteristics is: