40 garments need to be dry cleaned for the two companies to have the same cost.
<h3>
Linear equation</h3>
Linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial value of y.
Let f(x) represent the cost for dry cleaning at Company 1. Hence using the points:
- (5, 115.25) and (15, 155.75)
Let g(x) represent the cost for dry cleaning at Company 2. Hence using the points:
- (5, 45.25) and (15, 105.75)
For the cost to be the same:
4.05x + 95= 6.05x + 15
x = 40
40 garments need to be dry cleaned for the two companies to have the same cost.
Find out more on Linear equation at: brainly.com/question/14323743
Answer:
k = 0.02278
Step-by-step explanation:
Given that:
The population P = 1674.7e^kt
where;
t represents the year,
if year 2000 represents t = 0
Then, the year 2007 represents = 7; &
year 2006 represents = 6
In 2006, population recorded in the city was about 1,920 thousand
Therefore;
Taking the logarithm of both sides, we get:
7.560080465= 7.423389324 + 6k
7.560080465 - 7.423389324 = 6k
0.136691141 = 6k
k = 0.136691141/6
k ≅ 0.02278
Answer:
There are 14 4-point questions and 26 2-point questions.
Step-by-step explanation:
m = number of 4-point questions
n = number of 2-point questions
m+n =40
4m + 2n =108
You can solve system by elimination:
Multiply the 1st equation by -4 and keep the 2nd equation the same.
−4(m+n=40) → -4m -4n= -160
4m+2n=108 add them up
-2n = -52 divide both sides by -2
n = 26
plug it back in to solve for m
m + n = 40 →m + 26 =40 subtract 26 to both sides
m = 14
Answer:
slope = - 
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (- 3, - 4) and (x₂, y₂ ) = (- 6, - 2)
m = 
= 
= -
Answer:
1.1, 12, 99
Step-by-step explanation:
For the first one, we divide 2.5 by 2.2 (2.5/2.2) to get approximately 1.1 kilograms. So it would be the first option. For the second one, we know that 8x6=48, so we multiply 2 by 6 to get 12/48, so it would be the second option. For the third one, we can do this problem: 110/20 to get 5.5. We can multiply 18 by 5.5 to get 99. So that means the answer would be the first option.
