Answer:
Option C) c+9 is correct
The sum of the number of cars and 9=c+9 is correct algebraic expression representation for given phrase
Step-by-step explanation:
Given that c=the number of cars in a parking lot.
The phrase given is "the sum of the number of cars and 9"
To find the algebraic expression which represents the given phrase :
The algebraic expression to the given phrase is c+9
That is option C) c+9 is correct
The sum of the number of cars and 9=c+9 is correct algebraic expression representation for given phrase
If we made it into a ratio of residential customers to business customers, it would be a 2:1
350/2 = 175
350 + 175 = 525
525 total customers
The polar equation will be 
<h3> What is the polar equation?</h3>
A polar equation is any equation that expresses the relationship between r and theta, where r is the distance between the pole (origin) and a point on a curve, and theta is the counterclockwise angle formed by a point on a curve, the pole, and the positive x-axis.
From the equation, we are told that
The Eccentricity: e = 1
The Directrix is y = 4
Generally, the polar equation for e = 1 and y = + c is mathematically represented as
Therefore the polar equation will be
To know more about the polar equation follow
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Answer:
0.16
Step-by-step explanation:
Percent means 'per 100'. So, 16% means 16 per 100 or simply 16/100.
The answer is 0.16
Answer:
Part c: Contained within the explanation
Part b: gcd(1200,560)=80
Part a: q=-6 r=1
Step-by-step explanation:
I will start with c and work my way up:
Part c:
Proof:
We want to shoe that bL=a+c for some integer L given:
bM=a for some integer M and bK=c for some integer K.
If a=bM and c=bK,
then a+c=bM+bK.
a+c=bM+bK
a+c=b(M+K) by factoring using distributive property
Now we have what we wanted to prove since integers are closed under addition. M+K is an integer since M and K are integers.
So L=M+K in bL=a+c.
We have shown b|(a+c) given b|a and b|c.
//
Part b:
We are going to use Euclidean's Algorithm.
Start with bigger number and see how much smaller number goes into it:
1200=2(560)+80
560=80(7)
This implies the remainder before the remainder is 0 is the greatest common factor of 1200 and 560. So the greatest common factor of 1200 and 560 is 80.
Part a:
Find q and r such that:
-65=q(11)+r
We want to find q and r such that they satisfy the division algorithm.
r is suppose to be a positive integer less than 11.
So q=-6 gives:
-65=(-6)(11)+r
-65=-66+r
So r=1 since r=-65+66.
So q=-6 while r=1.
