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
Related Questions
Two triangles have the same height. The base of one
triangle is twice that of the other. Find the difference in
their areas.
Answers
[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}[/tex]
They both have same height,
let the height of both triangles be = x
let the base one triangle = y
then the base of another trainlgle = 2y
Area of triangle = 1/2 X B X H
Area of Triangle 1
[tex] \frac{1}{2} \times y \times x \\ = > \frac{xy}{2} [/tex]
Area of Triangle 2
[tex] \frac{1}{2} \times 2y \times x \\ = > \frac{2xy}{2} \\ = > xy[/tex]
Difference in the area =
[tex]xy - \frac{xy}{2} \\ = > \frac{2xy - xy}{2} \\ = > \frac{xy}{2} [/tex]
Hence Area of Triangle 1 is half the area of Triangle 2
Difference of 1/2 area.
Answer:
[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}∣ANSWER∣
They both have same height,
let the height of both triangles be = x
let the base one triangle = y
then the base of another trainlgle = 2y
Area of triangle = 1/2 X B X H
Area of Triangle 1
\begin{gathered} \frac{1}{2} \times y \times x \\ = > \frac{xy}{2} \end{gathered}21×y×x=>2xy
Area of Triangle 2
\begin{gathered} \frac{1}{2} \times 2y \times x \\ = > \frac{2xy}{2} \\ = > xy\end{gathered}21×2y×x=>22xy=>xy
Difference in the area =
\begin{gathered}xy - \frac{xy}{2} \\ = > \frac{2xy - xy}{2} \\ = > \frac{xy}{2} \end{gathered}xy−2xy=>22xy−xy=>2xy
Hence Area of Triangle 1 is half the area of Triangle 2
Difference of 1/2 area.
[/tex]
Step-by-step explanation:
side it
siso,;-):-(
- a/6 + 7 = - 14*********************
Answers
Answer:
a=126
Step-by-step explanation:
Pressure is force divided by area calculate the force when the pressure is 18N/m^2
Answers
Answer:
hi
Step-by-step explanation:
1+1=2
ASAP can someone help me solve this problem
Answers
Answer:
Step-by-step explanation:
x° + y° = 180°
2y° - 0.5x° = 180°
y° = 108°
x° = 72°
A bouquet contains 6 roses and 9 daisies. This represents 75% of the flowers in the bouquet. How many total flowers are in the bouquet? this is actually confusing me please help
Answers
Answer:
20 total flowers
Step-by-step explanation:
9+6=15.
20/4=5
5*3=15
The answer is 20 total flowers.
Describe the slope of the line then find the slope helpp plss :)
Answers
Answer:
Slope = -1
Step-by-step explanation:
Brainlist please
Answer:
Step-by-step explanation:
Once you have two points, you can describe the line with:
[tex]y = mx + b \\where\\\\m = \frac{y_2-y_1}{x_2-x_1}[/tex]
our two points are (-2, 3) and (3, -2)
calculate m:
[tex]m = \frac{3-(-2)}{-2-3} = \frac{5}{-5} = -1[/tex]
the slope is negative
HELP Please!!!!!!! Asap
Answers
Answer:
bottom right is correct
Step-by-step explanation:
15% tip on a bill of $51.03
Answers
Answer:
7.6545
Step-by-step explanation:
Explanation: 15% of 51.03 + 51.03. So (15/100)*51.03+51.03= 7.6545 +51.03 = 58.6845. The tip is $7.65 and the final amount is $58.68.
Another way to solve is: 1.15 * 51.03 = 58.6845. This works because (15/100)*51.03+51.03–> 51.03*((15/100)+1) distributive property. For tip only, subtract 51.03 and you get 7.6545
Write a conjecture for the following situation - the product of three odd numbers.
Answers
Answer:
5
Step-by-step explanation:
100 middle school students take a survey that asked them About there fruit Preferences 37 out of 100 students said they prefer pineapple to peaches how would you write this amount as a percentage
Answers
Answer:
37%
Step-by-step explanation:
First, we need to know that 1 student equals 1 percent.
If 37 students chose pineapple, than it would be 37%
(Some times, you have lets say... 75 students, so you would do 75, subtracted from 74 (Or one less), to get how much one student is.)
Help please I am very confused
Answers
The sides of the triangle occur in a ratio of 4 : 7 : 2, so if x is some positive number, then we can write each side's length in terms of x as 4x, 7x, and 2x.
The perimeter is 299 yd, so
4x + 7x + 2x = 299 yd
13x = 299 yd
x = (299 yd) / 13
x = 23 yd
Then the sides of the triangle have lengths of
4x = 4 • 23 yd = 104 yd
7x = 7 • 23 yd = 161 yd
2x = 2 • 23 yd = 46 yd
"Median" here refers to the side length between the shortest and longest sides, so the answer would be 104 yd.
You decide to join a tennis class. The initial entrance fee is
$100, and a $10 fee every month you want to take the class.
How much will it cost for five months?
Answers
Given :
Initial entrance fee of tennis class, E = $100 .
Fee of every month, F = $10 .
To Find :
How much will it cost for five months.
Solution :
Let, number of months are n and cost of class is y.
So, linear equation is given by :
y = 10n + 100 ...1)
To know the cost of 5 month, putting value of n = 5 in equation 1) we get :
y = ( 10×5) + 100
y = 50 + 100
y = $150
Therefore, the cost of five month fee in tennis class is $150.
Hence, this is the required solution.
What is 1872.072 rounded to the nearest hundredth?
Answers
Answer:
1872.07
Step-by-step explanation:
The hundredth place is the second digit after the decimal (.).
The 1872 will always be the same since it is hundredth and not something else like tens or hundreds.
1872....
So since the hundredth place is the second digit after the decimal, you can find that the second digit is 7.
4 or less don't round up, 5 or more round up
Since the next digit is 2, it is 4 or less, so don't round up, so you cut off the 2, hence the 1872.07
EDIT: Aha I need my sense of humor back... brb
Answer: 1872.07
Step-by-step explanation: 7 is in hundredth place so we take the number that comes after it and round up or down since it 2 we round down to 0 then add it to 7.
7+0= 7 so 7 stays the same (because numbers from 1-4 round to zero and numbers from 5/9 round to 1)
⚠️⚠️PLEASE HELP!!!!!⚠️⚠️
For two weeks, the highest
temperature each day was
recorded in four different
cities. Lines l, m, n, and pare
graphs of the temperature
over time in Lubbock,
Memphis, New Orleans, and
Phoenix. Which statement is
true?
m
n
temperature (degrees)
p
time passed (days)
A. The high temperature in Lubbock increased as time passed.
B. The high temperature in Memphis decreased steadily.
C. Initially, the high temperature was warmer in Phoenix than in Memphis.
D. The high temperature in Phoenix rose faster than the temperature in New Orleans.
Answers
Answer: B : The high temperature in Memphis decreased steadily.
Step-by-step explanation:
Round each fraction to 0 or the nearest whole: (NOTE: some are the same numbers, so if you are marked wrong please
message your teacher about this.)
1. 0
213
2. 1
3/5
3. 1
8/11
4. O
6 5/8
5. 2
7/15
6. 7
5 4/9
7. 5
19
NEXT QUESTION
ASK FOR HELP
TURN IT IN
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TERMS OF USE
Answers
1. 2
2. 1
3. 1
4. 7
5. 0
6. 5
7. 0
Answer:
1.0
213.0
2.0
4.0
3.0
9.0
4.0
7.0
5.0
7.0
7.0
5.0
8.0
19.0
Step-by-step explanation:
A roller coaster at an amusement park rises to a height of 196 feet above the ground. So far, it has risen 36% of this height. To estimate the height the roller coaster has risen so far, Jake did the following.
1. Rounded 36% to 40%
2. Rounded 196 to 200
3. 10% of 200 is 20
4. 20 (4) = 80
5. 36% of 196 is about 80
However, Jake’s estimate was too high by almost 10 feet. Why was his estimate off by so much?
He made a computation error.
He rounded the percent up to 40% and the number up to 200.
He made a rounding error, and should have rounded 196 down to 100.
He should have rounded the percent down to 30% and the number down to 190.
Answers
Answer:
Step-by-step explanation:
196*36%=70.56 feet
He rounded the percent to 40% and the number to 200.
Answer:
He rounded the percent up to 40% and the number up to 200.
Step-by-step explanation:
I got it right on my test
what is value of this expression below when y=3
8y^2-y-8
Answers
8(3)^2-(3)-8
8(9)-3-8
72-3-8 = 61
Answer:
61
Step-by-step explanation:
8x3^2 -3-8
8x9-3-8
72-3-8
72-11
61
What is the commutative and associative propertys?
Answers
Answer:
Commutative property: states that the order in which we multiply numbers does not change the product.
Associative property: states that you can add or multiply regardless of how the numbers are grouped (aka parenthesis).
Factor x^3 - 6x^2 + 11x - 6 with steps shown
Answers
Factor the expression
3−2−52+5+6=0
what is the value of q in the equation 4/5q = 32
Answers
Answer:
40
Step-by-step explanation:
4/5 * q = 32
First you divide 4/5 by itself so you can eliminate it from the equation and then you have to divide 32 by 4/5 n when you do that you get 40. So q = 40.
Jose needs $75 to pay for the monthly subscriptions for Hulu, Netflix,
Disney, and HBO GO. His mother agrees to pay him $5 an hour for raking
leaves in addition to his $10 allowance. What is the minimum number of
hours that Jose must rake leaves to earn enough money to pay for both
subscriptions?
Answers
Answer:13 hours
Step-by-step explanation:if you get paid your allowance then wrok for 13 hours-13x5=65+10=75
Mr. Smith had 262 markers in the art room. He threw away the markers that dried out, and now he has 99 markers. How many markers dried out?
Answers
Answer:
163
Step-by-step explanation:
262-99=163
Answer:163
Step-by-step explanation: subtract 262 and 99
1. There are 4 quarters in 1 dollar.
a) Shade 1 of a dollar.
2
1
a
+
b) How many cents are in
2
of a dollar?
NE
Help plss
Answers
Answer:
1) Shade 2.
2) 50 cents
Step-by-step explanation:
1/2 of a dollar is 2 so shade 2.
B) 50 cents.
Hope this helps Happy Thanksgiving !!!!!!,!
Need help please!! Due tomorrow
Answers
Answer:
i got A but im not sure if its correct
Zach needs a new pair of running shoes.The pair that he wants regularly sells for $129.If they are on sale for 24% off,how much will he pay in total if sales tax is 6.4%?
Answers
Answer:
$104.31
Step-by-step explanation:
First let's calculate the sale price of the shoes. If they are 24% off, that means they will be worth 76% of the initial price. So, we can multiply 76% by 129 to find the sale price:
129 * 0.76 = 98.04
The sale price is $98.04. To find the value of the sales tax, multiply the sale price by the percentage of the sales tax:
98.04 * 0.064 = 6.27456
The sales tax rounds to 6.27. Finally, to find the total price, add the value of the sales tax to the sale price:
98.04 + 6.27 = 104.31
The total price Zach will pay is $104.31.
Hope this helps :)
(2x + 5x - 3) + (x + 3)
Answers
Answer:
8x
Step-by-step explanation:
Because you are adding the (x+3) there you can immediately you the association property to simplify
(2x + 5x + x) + (3 - 3)
8x + 0 =
8x
7 - 0.65r + 3 there is no options all you have to do is simplify
Answers
Answer:
What caused the differences in their behavior? The food coloring in cool water remained at the bottom of the container. ... The behavior of the food coloring was caused by the movement of heat through the water and the formation of convection currents. The warmer water is less dense, so it rises to the surface.
Step-by-step explanation:
Answer:
10 - .65r
Step-by-step explanation:
you just have to combine like terms, in this case the whole numbers. 7 + 3 = 10 so yup
Sandra worked 6 hours on Wednesday, 5 hours on Thursday, and 4 hours on Friday. What is the mean number of hours she worked over the three-day period? A 2 h B 3 h C 4 h D 5 h
Answers
Answer:
The mean should be D. 5
Step-by-step explanation:
The mean means the average which in this order (4, 5, 6) The direct middle is 5, making it the average since there are only 3 numbers in the first place.
You can mark out A (2) and B (3) instantly because they are lower than any of beginning numbers, and it's not C (4) as 'mean' doesn not mean the lowest, which leaves you with D (5)
May I have brainliest please? :)
2. A set of barbells consist of red and blue discs. Discs with the same color have the same mass. Using a balance,
Lia found that 7 blue discs balance 1 red disc and a 5kg mass, while 2 blue discs and a red disc balance a 4kg
mass. Find the masses of the red and blue discs. (2kg, 1kg)
Answers
Let r be the mass of a red disc and b the mass of a blue disc.
7 blues have the same mass as 1 red along with a 5 kg mass, so
7b = r + 5
7b - r = 5
2 blues and 1 red have the same mass as a 4 kg mass, so
2b + r = 4
Solve for b and r . Notice that adding the equations together eliminates r :
(7b - r) + (2b + r) = 5 + 4
9b = 9
b = 1
Then
7 • 1 - r = 5
r = 7 - 5
r = 2
So each red disc has a mass of 2 kg, and each blue disc has a mass of 1 kg.
2/3 of a class are girls what is ratio girls to boys in the class
Answers
Answer:
2:1
Step-by-step explanation:
2:3=1:3
as product of extremes = product of means
(2)(3):(1)(3)
6:3
2:1