Answer:
-83, -82, and -81
Step-by-step explanation:
Step 1: Declare your variable
Let x represent the largest of the 3 consecutive integer
Integer 1: x
Integer 2: x + 1
Integer 3: x + 2
Step 2: Create an equation
(x) + (x + 1) + (x + 2) = -246
Step 3: Solve
x + x + 1 + x + 2 = -246
3x + 3 = -246
3x = -249
x = -83
FInd the other 2 numbers
Integer 1: -83
Integer 2: -82
Integer 3: -81
Step 4: Therefore Statement
Therefore the 3 consecutive numbers are -83, -82, and -81
Answer:
3.14159265358979323846264338 and so forth
Step-by-step explanation:
I hope this helps
Answer:
4/15
Step-by-step explanation:
Answer:
3 dogs and 5 cats were adopted out on Christmas eve.
Step-by-step explanation:
Let the number of dogs adopted out on Christmas eve be x and the number of cats be y.
From the question,
On Christmas Eve, the animal adopted out 8 total animals
That is, x + y = 8 ...... (1)
and brought in $400 in total adoption fees.
Also from the question,
Each dog adoption fee was $75 and each cat adoption fee was $35.
∴ On Christmas Eve,
75x + 35y = 400 ...... (2)
Now, to determine how many dogs and how many cats were adopted out on Christmas Eve, we will solve the two equations simultaneously.
From equation (1)
x + y = 8
Make x the subject of the relation.
∴ x = 8 - y ...... (3)
Substitute the value of x into equation (2)
75(8 - y) + 35y = 400
600 - 75y + 35y = 400
600 -40y = 400
600 - 400 = 40y
200 = 40y
∴ 40y = 200
y = 200/40
y = 5
Substitute the value of y into equation (3)
x = 8 - y
x = 8 - 5
x = 3
∴ x = 3 and y = 5
Hence, 3 dogs and 5 cats were adopted out on Christmas eve.
