Answer:
0.375
Step-by-step explanation: All you need to do is divide 3 and 8
When 2(y^2) + 8 is divided by 2y + 4 is equal to (y - 2) + (16 / (2y + 4)). The
expression represents the quotient is the 2y + 4. While the expression
represent the remainder is 16 / (2y + 4). The remainder of the given expression
can also be solve using the remainder theorem.
11 by 16
Explanation:
Set up two equations
2
x
+
2
y
=
54
x
×
y
=
176
Solving the first equation for x
2
x
+
2
y
−
2
y
=
54
−
2
y
this gives
2
x
=
54
−
2
y
Divide both sides by 2
(
2
x
2
)
=
54
−
2
y
2
This gives.
x
=
27
−
y
putting this value into the second equation gives.
(
27
−
y
)
×
y
=
176
multiplying across the parenthesis gives
27
y
−
y
2
=
176
subtracting 176 from both sides gives
is
27
y
−
y
2
−
176
=
0
multiplying by negative one gives
−
27
y
+
y
2
+
176
=
0
factoring this into y gives
(
y
−
11
)
×
(
y
−
16
)
=
0
Solving for both y's gives
y
=
11
,
y
=
16
Complete question is;
Peter drew two rays, AC and AP with A as a common endpoint. Which of the following statements
might describe Peter's drawing?
I. AC and AP are parallel.
II. PAC is an angle
III. AC and AP are perpendicular
A. I and II
B. II and III
C. I and 111
D. I, II, and III
Answer:
Option B: II & III
Step-by-step explanation:
We are told that Peter drew two rays which are AC and AP.
We are told that A is a common endpoint.
If A is a common endpoint, it means the 2 rays interaction point at A is at an angle.
The angle could also be 90° which means it's possible that the rays AC and AP are perpendicular.
Thus, the correct statements that describe his drawing are: II & III
Answer is $155 for the job
Step by step
You can use y intercept formula for this one.
Y = mx + b
Y = Dollars earned, what you are looking for.
M= rate per hour (27)
X = hours worked (5)
B = flat rate (20)
y = (27) (5) + 20
y = $155
Problem solved!
