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.
Answer:
14
Step-by-step explanation:
105 and (6x-21) the same. So you do 105 minus 21, then divide that by 6.
Mr Akika has 18 21-cent stamp and 31 31-cent stamp.
He has 49 21-cent and 31-cent stamps all told.
let
x = number of 21 cent stamp
y = number of 31 cent stamp
Therefore,
<h3>Total number of stamp:</h3>
<h3>Total cost of stamp:</h3>
Therefore,
x + y = 49
21x + 31y = 1339
21x + 21y = 1029
10y = 310
y = 310 / 10
y = 31
Therefore,
x = 49 - 31
x = 18
Therefore, Mr Akika has 18 21-cent stamp and 31 31-cent stamp.
learn more on system of equation: brainly.com/question/1369852?referrer=searchResults
Answer:
m<4 = 117 degrees
Step-by-step explanation:
Knowing that angle 1 is 63 degrees, we can look at the other angle on the same side of the line, angle 4.
Angles on one side of a line add to 180 degrees.
180 - 63 = 117