5. A girl is told to buy some melons and oranges. Melons are 50c each and oranges 25c each, and she has $2 to spend. She must not buy more than 2 melons and she must buy at least 4 oranges. She is also told to buy at least 6 fruits all together.
Let x be the number of melons
Let y be the number of oranges.
a) Write down four inequalities which must be satisfied.
b) Draw a graph and use it to list the combinations of fruit that are open to her.
Answers
Answer:
a) The four inequalities are;
1) x ≤ 2
2) y ≥ 4
3) x + y ≥ 6
4) 0.5 × x + 0.25 × y ≤ 2
b) The limits of the combinations of fruits that are opened to her, derived using the Chart function on Microsoft Excel are;
1) (0, 8) which is 0 melons and 8 oranges
2) (0, 6) which is 0 melons and 6 oranges
3) (2, 4) which is 2 melons and 4 oranges
Step-by-step explanation:
The price per Melon = 50c = $0.5
The price per orange = 25c = $0.25
The amount she has to spend = $2
The number of melons she must buy ≤ 2
The number of oranges she must buy ≥ 4
The total number of fruits she should ≥ 6
Let x be the number of melons
Let y be the number of oranges
a) The four inequalities are;
1) x ≤ 2
2) y ≥ 4
3) x + y ≥ 6
4) 0.5 × x + 0.25 × y ≤ 2
b) Please find attached the required graph of the combination of fruits the girl buys created with Microsoft Excel
The combinations of the vertices of the feasible combinations that are opened to her, obtained from the creation of the combined graph, using Microsoft Excel are;
1) (0, 8) which is 0 melons and 8 oranges
2) (0, 6) which is 0 melons and 6 oranges
3) (2, 4) which is 2 melons and 4 oranges
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Step-by-step explanation:
Answer:
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Thomas used a can to feel his new fish tank with water. The fish tank holds 11 gallons of water. His can hold 1/5 of a gallon. How many times will Thomas have to feel his canned to put 11 gallons of water in a fish tank?
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Answer:
55
Step-by-step explanation:
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somebody please help me what is 15 / 3 ×7/20
Answers
Answer:
1.75
Step-by-step explanation:
By Order of Operations, You read it left to right since Multiplication and Division are of the same importance. You would start with 15/3, which is 5.
Then your equation would be: 5*7/20.
Again, you would just read it left to right, 5*7=35
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In triangle ABC, the measure of angle A is 48° and the measure of angle C is 24°. What type of triangle is triangle ABC?
Answers
Answer:108 degrees
Step-by-step explanation:
Answer:
Scalene triangle
Step-by-step explanation:
24+48= 72
180-72=108
All three angles are different meaning that the triangle must be a scalene triangle.
What is the greatest common factor of 9 and 12? 3 9 36 108
Answers
Answer:
The GCF would be 3
Step-by-step explanation:
You’re welcome :)
Answer:
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Step-by-step explanation:
The area of the triangle is 22.4cm^2.
Calculate the length, b, of the longest side of the triangle.
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Answers
Answer:
The longest side length b is approximately 13.172 cm
Step-by-step explanation:
The given parameters are;
The area of the triangle = 22.4 cm²
The given angles of the triangle = ∠97°
The given side of the triangle = 3.7 cm
The formula for the area of a triangle, A = 1/2 × a × b × sin(C)
Where;
a, and b are the side legs forming the angle C
Therefore, we have;
A = 22.4 = 1/2 × 3.7 × a × sin(97°)
a = 22.4/(1/2 × 3.7 × sin(97°)) ≈ 12.199
a ≈ 12.199 cm
Therefore, by cosine rule, we have;
b² = a² + c² - 2 × a × c × Cos(B)
Substituting the values, gives;
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b² ≈ 173.507
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Evaluate -9x-2 when x =-4
Answers
Answer:
34
Step-by-step explanation:
So -9x is 36,36-2=34
Answer:
34
Step-by-step explanation:
-9(-4)-2
36-2
34
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Answers
Answer:
The Answer would be C
Step-by-step explanation:
Answer: It is C. 25
Step-by-step explanation:
on edge 2020
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Answers
F. Square root of 39
Step-by-step explanation:
Value of [tex]\boldsymbol{x}[/tex] is [tex]\boldsymbol{\sqrt{39}}[/tex] units.
Option F. is correct.
Define similar triangles.Two triangles are said to be similar if their sides are proportional and their corresponding angles are equal.
[tex]\bigtriangleup ABD \sim \bigtriangleup CAD[/tex]
[tex]\boldsymbol{\frac{AD}{CD}=\frac{BD}{AD} }[/tex]
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Nathan measured a line to be 7.4 inches long. If the actual length of the line is 7.2 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answers
Answer:
2.8%
Step-by-step explanation:
(7.4 - 7.2) / 7.2 =
0.2 / 7.2 =
2.7777777777778%
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Answers
Answer:
-7/8
Step-by-step explanation:
the formula for calculating slope for the given coordinates is:
(y2-y1)/(x2-x1)
so (2,11) = (x1,y1)
and (10,4) = (x2,y2)
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2. 2400 divided by 6
3. 2400 divided by 60
4. 2400 divided by 600
Answers
2400 divided by 60 is equal to 40. The correct option is 3.
To find the expression that has a value of 40, to evaluate each expression:
1.
240 divided by 60:
Divide 240 by 60 is equal to 4.
So, this is incorrect option.
2.
2400 divided by 6:
Divide 2400 by 6 is equal to 400.
So, this is incorrect option.
3.
2400 divided by 60:
Divide 2400 by 60 is equal to 40.
So, this is correct option.
4.
2400 divided by 600:
Divide 2400 by 600 is equal to 4.
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Answers
Answer:
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Step-by-step explanation:
You're welcome :)
Find the point that is a solution for y=6x+8
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Answer:
(-8/6, 0) is the answer
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I was just about to ask this question
Step-by-step explanation:
Im on this question rn, i need help to :(
Answer: just guess :)
Step-by-step explanation:
Find the slope of the following graph and Identify the type of
Slope:
Answers
Answer:
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Step-by-step explanation:
Horizontal lines have no slope. The line on the graph is vertical, so we can't really tell what slope it is. But there isn't any run and only rise, therefore the slope is "undefined."
Simplify the expression by combining like terms.
t + 8 + 3t
SHOW YOUR WORK: Use different colors to circle your like terms then use addition/subtraction to combine
them.
*Remember: Variable term goes FIRST!
Answers
Answer:
4t + 8
Step-by-step explanation:
t + 3t = 4t
4t + 8
Answer:
4t+8
Step-by-step explanation:
If you look at your equation t+8+3t you will notice how you have two t parts
part 1: t
part 2: 3t
Since they have the same variable or letter you are able to combine them. When you add them together you get 4t.
Then you just put your 8 back on to the equation! 4t+8
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10
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Answers
Answer:
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Step-by-step explanation:
The graph below shows the distance, y, in miles, of a bird from its nest for a certain amount of time, x, in minutes:
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Based on the graph, what is the initial value of the graph and what does it represent? (1 point)
a
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b
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c
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d
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Answers
Answer:
(d).
Step-by-step explanation:
The y-intercept (0, 3) is initial value of graph ⇒ (d). 3 miles; it represents the original distance of the bird from its nest
Answer:
0.2 mile; it represents the original distance of the bird from its nest
Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
x = 7
Step-by-step explanation:
Because this is a right triangle, one angle is a right angle (90°). All triangles have all three angle measures adding up to 180°, so the other two angles' measures add up to 90° (90 + 90 = 180).
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Step-by-step explanation:
add them together
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Answer:
The answer is A. Sorry, i dont have enough time to support my answer. I am rushing sdjeuesjcvjs
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Step-by-step explanation:
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Answer:
a. h(t) = 5t + 10
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Step-by-step explanation:
a. Since the elevator is already 10 feet of the ground, u have to add that in the equation. And since it's 5 feet per second, 5 will be a multiplier so:
h(t) = 5t + 10
b. We have the equation already and in the equation it said that "t" represents the seconds so just replace 1 with 12:
h(12) = 5(12) + 10
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h(12) = 70
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