Answer:
I got 4 3/8
Step-by-step explanation:
2 1/4=2 2/8
2 2/8 + 2 1/8 =4 3/8
Answer:
The number is -2
Step-by-step explanation:
step 1
Find the reciprocal of 2/3
Remember that when multiply a number by its reciprocal, the result is 1
so
The reciprocal of 2/3 is 3/2
step 2
Let
x-----> the number added to the numerator and denominator
Solve for x
step 3
verify
substitute x=-2
Simplify
----> is ok
therefore
The number is -2
Answer:
x < -6
Step-by-step explanation:
3x - 2 > 5x + 10
first step is to isolate x
3x -2 >5x +10
3x > 5x + 10 + 2
3x -5x > 10 + 2
now that we have 3x and -5x we can combine them
-2x > 10 + 2
now add 10 +2 =12
-2x > 12 (now divide by -2)
x < -6 (when we divide we flip the inequality sign)
Okay, so total dogs are 49.
So we know if x=large dogs and y=small dogs, then x+y=49.
Next we are told that there are 36 MORE small dogs than large dogs. We can take that more meaning addition, and x being our value for large dogs. So y=x+36.
After that we now know what value we can plug in for y. So x+x+36=49.
We can then simplify it to 2x+36=49.
Subtracting the 36 from both sides, leaves you with 2x=13.
Followed by dividing both sides by 2, gives you x=6.5. Or 6.5 large dogs.
Now we can plug this into our formula for the small dogs (y=x+36) to give us y=6.5+36, which simplifies to y=42.5. Or 42.5 small dogs. Which is our answer.
We can double check it by adding the small and large dogs together, 6.5+42.5, which gives us 49, our total entries.
