Which inequality is represented by this graph?
Answers
Answer: Choice B.
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Explanation:
We need to know the equation of the boundary line. This boundary goes through (0,1) and (3,0). Find the slope of the line through these points
m = (y2-y1)/(x2-x1)
m = (0-1)/(3-0)
m = -1/3, negative slope means the line goes downhill as we move from left to right.
The y intercept is b = 1 as this is where the boundary crosses through the y axis
y = mx+b turns into y = (-1/3)x+1 after replacing m and b with m = -1/3 and b = 1 respectively.
The equation of the boundary line is y = (-1/3)x+1
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The shading is below the boundary, so we'll have a "less than" sign involved here. More specifically, we'll have a "less than or equal to" sign because the boundary is a solid line rather than a dashed one. A solid line tells us "points on the boundary are part of the solution set". The inclusion is because of the "or equal to" portion.
Change the equal sign to a less than or equal to sign to get the final answer of which is choice B.
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It costs Seth's socks $1.25 to produce each pair of socks. Seth's sells its socks for $4.00 per pair. What is the percent markup on the socks?A- 31.25%B- 68.75%C- 220%D- 320%
Answers
They are both equal to 11/20. 55/100 can both be divided by 5. 55/5 is 11 100/5 is 20 so 11/20. 66/6 is 11 and 120/6 is 20, so 11/20.
Answers
Finding percentage u have to
Divide 4/20= 0.2 then multiply by 100 to get percentage which is 20%
Answers
b (55 books/day) B =number of B , A=number of a then
A+B =14 ........ A=14-B
aA+bB =905
70(14-B) +55B =905
980-70B+55B=905
-15B=-75
B=-75/-15 =5
A=14-B=14-5=9
Elisa's Printing Company has 9 Model A printing pressesand 5 Model B printing presses.
Given that Elisha's printing company have two kinds of printing presses,
Model A = 70 books per day
Model B = 55 books per day
In total they have printing presses, which allows 905 books per day.
We need to find number of each of press,
Let's assume Elisa's Printing Company has x Model A printing presses and y Model B printing presses.
According to the given information, the total number of Model A printing presses (x) can print 70x books per day, and the total number of Model B printing presses (y) can print 55y books per day. Since the company owns 14 total printing presses, we can create the following equation:
x + y = 14 (Equation 1)
The total number of books printed per day is given as 905. So, we can set up another equation based on the printing capacities of each model:
70x + 55y = 905 (Equation 2)
Now, we can solve these equations simultaneously to find the values of x and y.
Multiplying Equation 1 by 70, we get:
70x + 70y = 980 (Equation 3)
Subtracting Equation 2 from Equation 3:
(70x + 70y) - (70x + 55y) = 980 - 905
Simplifying:
15y = 75
Dividing both sides by 15:
y = 5
Substituting the value of y in Equation 1:
x + 5 = 14
x = 14 - 5
x = 9
Therefore, Elisa's Printing Company has 9 Model A printing pressesand 5 Model B printing presses.
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1/4
1/6
1/8
Answers
Answer:
¼
Step-by-step explanation:
The probability of having a boy is ½ and that of a girl is ½.
Probability of boy, boy is (pb*pb) and given pb to be ½ then we can prove the point as follows
For these two children
The options are as follows
1 boy(first) and 1 girl
2 boys
2 girls
1 girl( first) and 1 boy
These are four possible options and the option for two boys is 1 out of the four.
The probability of 2 boys is ½*½=¼
Answers
The area of the smaller square is X*X
The area of the larger square is (x+3)*(x+3)
What is the area of a Square?
The area of a square is (side*side)
- The area is the sum of the areas of its faces.
- The areas of the base, top, and lateral surfaces i.e all sides of the object. It is measured using different area formulas and measured in square units and then adding all the areas.
- The area of a solid object is a measure of the total area that the surface of the object covers.
Learn more about the area here:-brainly.com/question/25292087
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(X^2+6x+9) - X^2
6x+9
2(3x)
B)
2x - 3
C)
2x + 3
D)
2(x - 3)
Answers
Keith ... x hours a week
Troy ... three hours less than Keith: x - 3
Joe ... two times more than Troy: 2 * (x - 3)
The correct result would be D) 2 * (x - 3).
Answer:
The answer is D because
Step-by-step explanation:
Keith = x
And Troy exercises three hours less than Keith. Thus,
Troy = x - 3
And Joe exercises two time more than Troy. Thus,
Joe = 2(x - 3)