Every week Sarah collects a few pounds of cans to recycle. The graph below shows the total number of pounds of cans (y) that Sarah collected in a certain amount of time (x), in weeks: A graph titled Can Recycling is shown with labels in x axis and y axis as Number of Weeks and Amount of Cans Collected in pounds, respectively. The values on the x axis are from 0 to 5 at increments of 1, and the values on the y axis are from 0 to 100 with increments of 20. Dots are made at 0, 20 and 1, 40 and 2, 60 and 3, 80 and 4, 100. A straight line joins the ordered pairs 0, 20 and 4,100.
What would most likely be the total amount of cans, in pounds, Sarah would collect in 10 weeks?
200
220
320
420
Answers
Answer:
The amount of cans, in pounds,Sarah would collect in 10 weeks is:
220
Step-by-step explanation:
The x and y value as according to the information are as follows:
x (Number of weeks) y(Amount of cans collected)
0 20
1 40
2 60
3 80
4 100
Hence, we see that with each increasing weeks the number of cans collected increased by a constant rate i.e. 20
The equation that represent these points are:
y=20(x+1)
Now we have to calculate the value of y when x=10
when x=10 we have:
y=20(10+1)
y=20×11
y=220
Hence, the answer is: 220
Answer:
the answer is 220 I got it right on flvs
Step-by-step explanation:
y=20x+20
y=20(10)+20
y=200+20
y=220
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Subtract 3 from 4/9 of 20
Expand and simplify. (x+4)squared
What is the solution of 3x + y = 9 and 3x − 5y = 15?
Answers
3 laborers
works 14 hours a day, 6 days a week, 50 weeks a year
makes 12 rugs a year
material cost 50 per rug
Each laborer is paid a wage of 1.10 per day
rugs sell for 2,000 each in the US
fixed cost 10,000 per year
1.10 per day * # days per year * 3 laborers
50 weeks;/y * 6 days/week = 50 * 6 = 300 days a year
1.10 per day * 300 days a year * 3 laborers = 990 total labor cost
total material cost:
50 per rug * 12 rugs = 600
total revenue:
2,000 x 12 rugs = 24,000
total profit:
total revenue: 24,000
less:
material cost 600
labor cost 990
fixed cost 10,000
profit 12,410
15x + 6y = 21
1.25x +0.5y = 2
6.5x + 3.5y = 9.5
Answers
We can take the coefficient of x as an example.
First, we reduce the coefficient of x of the given equation to 1 to make it simpler. We divide the whole equation by 5 and we get:
x + (2/5) y = 8/5
We do the same to the given options of equations.
We divide equation 1 with 2, equation 2 with 15, equation 3 with 1.25 and equation 4 with 6.5.
Compare the result with the given equation divided by 5 or x + (2/5) y = 8/5 and if it is the same, then the two equation are equivalent.
The third option: 1.25x +0.5y = 2 will give you the same equation.
Answer:
C.)1.25x +0.5y = 2
Step-by-step explanation:
Answers
Answer:
6
Step-by-step explanation:
cuz 6x6 equal 36
Answer:
x=6
Step-by-step explanation:
The question is asking what value of x will make = 36.
If we take the square root of 36, we will get , and that simplifies to 6.
Hope this helped.
Answers
S.D. = $36
For 1 s.d.: 65.85 - 36 ≤ x ≤65.85 + 36 => 29.85 ≤ x ≤ 101.85
But $25.60 and $126.40 does not fall within 1 standard deviation.
Therefore, all the prices fall within 2 standard deviations.
Mean = (146 + 189 + 246 + 178 + 203)/5 = 192.4
S.D. = sqrt[(146 - 192.4)^2 + (189 - 192.4)^2 + (246 - 192.4)^2 + (178 - 192.4)^2 + (203 - 192.4)^2] = 73.2
For 1 S.D.: 192.4 - 73.2 ≤ x ≤ 192.4 + 73.2 => 119.2 ≤ x ≤ 265.6
All the weight falls within 1 standard deviation of the mean.
-a^3b (3a^2 b^5 - ab^4 - 7a ^2 b)
Answers
For the function f defined by f(x) = 2x^2 – 3x, evaluate: f(x+3)
Answers
Answer:
2x² + 9x + 9
Step-by-step explanation:
To evaluate f(x + 3) substitute x = x + 3 into f(x), that is
f(x + 3) = 2(x + 3)² - 3(x + 3) ← expand (x + 3)² using FOIL
= 2(x² + 6x + 9) - 3(x + 3) ← distribute both parenthesis
= 2x² + 12x + 18 - 3x - 9 ← collect like terms
= 2x² + 9x + 9