What numbers are inside both circles?
The answer is A.
Answer:
The dog weighs 16 pounds, while the cat weighs 8 pounds
Step-by-step explanation:
Let's call the weight of the dog d, and the weight of the cat c.
d+c=24
d=2c
Substitute the second equation into the first:
(2c)+c=24
3c=24
c=8
d=24-8=16
Hope this helps!
Center: (-5,-6)
Radius: 39
How to do it
Complete the square for
y
2
+
12
y
y
2
+
12
y
.
(
y
+
6
)
2
−
36
(
y
+
6
)
2
-
36
Substitute
(
y
+
6
)
2
−
36
(
y
+
6
)
2
-
36
for
y
2
+
12
y
y
2
+
12
y
in the equation
(
x
+
5
)
2
+
y
2
+
12
y
=
3
(
x
+
5
)
2
+
y
2
+
12
y
=
3
.
(
x
+
5
)
2
+
(
y
+
6
)
2
−
36
=
3
(
x
+
5
)
2
+
(
y
+
6
)
2
-
36
=
3
Move
−
36
-
36
to the right side of the equation by adding
36
36
to both sides.
(
x
+
5
)
2
+
(
y
+
6
)
2
=
3
+
36
(
x
+
5
)
2
+
(
y
+
6
)
2
=
3
+
36
Add
3
3
and
36
36
.
(
x
+
5
)
2
+
(
y
+
6
)
2
=
39
(
x
+
5
)
2
+
(
y
+
6
)
2
=
39
This is the form of a circle. Use this form to determine the center and radius of the circle.
Answer:
Omar can make 16 dumplings with some dough to spare
Step-by-step explanation:
you should convert each value to have the same denominator to make the equation easier
3 and 1/14 cups is the same as 43/14 cups of dough
so the total 43/14 needs to be divided by 3/16
43/14 divided by 3/16 = 43/14 * 16/3
=688/42 = 16.3809...
so Omar can make 16 dumplings with some dough to spare
