So, let's set this up:
0.04x+0.05y=1100
0.05x+0.04y=1150
Let's multiply each equation by 100:
4x+5y=110000
5x+4y=115000
Now let's add those together:
9x+9y=225000
And we need to find x+y, so we just divide by 9 and get 25,000
Answer:8
Step-by-step explanation:(
x
+
4
)
2
+
(
y
−
7
)
2
=
64
This is the form of a circle. Use this form to determine the center and radius of the circle.
(
x
−
h
)
2
+
(
y
−
k
)
2
=
r
2
Match the values in this circle to those of the standard form. The variable
r
represents the radius of the circle,
h
represents the x-offset from the origin, and
k
represents the y-offset from origin.
r
=
8
h
=
−
4
k
=
7
The center of the circle is found at
(
h
,
k
)
.
Center:
(
−
4
,
7
)
These values represent the important values for graphing and analyzing a circle.
Center:
(
−
4
,
7
)
Radius:
8
Answer: yes, it is
Step-by-step explanation:
A number is divisible by 6 if it is divisible by 2 and 3 simultaniously.
n = k(k+1)(k-1)
If k-1 is a multiple of 3, n is divisible by 3, so one of the requirements is ok.
Now, if k-1 is a multiple of 3, it can be even or odd.
if k-1 is even, then it is divisible by 2 and as it is divisible by 3 as well, n is divisible by 6
if k-1 is odd, then k and k+1 is even, hence, divisible by 2.
As n = k(k+1)(k-1), n is also divisible by 6.
3x4=12 12x5=60 60x6=360 360x7=2,530 2,530x9=22,690
The value of the product expression is –6p^3 + 8p^2 – 10p
<h3>How to simplify the product?</h3>
The product expression is given as:
2p(–3p2 + 4p – 5)
Rewrite properly as:
2p(–3p^2 + 4p – 5)
Remove the bracket
2p * –3p^2 + 2p * 4p – 2p * 5
Evaluate the products
–6p^3 + 8p^2 – 10p
Hence, the value of the product expression is –6p^3 + 8p^2 – 10p
Read more about expression at
brainly.com/question/4541471
#SPJ1
