Cherries cost $4/lb. Grapes cost $2.50/lb. You can spend no more than $15 on fruit, and you need at least 5 lb in
all. Create a graph showing the amount of each fruit you can buy.
i need a picture of a graph
Answers
Answer:
Let's define the variables:
x = number of Cherrie pounds you buy
y = number of Grape pounds you buy.
The total cost of buying that will be:
x*$4 + y*$2.50
And this must be no more than $15, then we have the inequality:
x*$4 + y*$2.50 ≤ $15
And we also know that you need at least 5 pounds in total, then we will have:
x + y ≥ 5
We have the set of inequalities:
x + y ≥ 5
x*$4 + y*$2.50 ≤ $15
To graph them, a easy way is to write them as lines, and just graph the lines:
y ≥ 5 - x
y ≤ ($15 - x*$4)/$2.50
in the first inequality, we have the symbol ≥, this means that we will have a solid line and we must shade above the line.
In the second inequality, we have the symbol ≤, this means that we will have a solid line and we must shade below the line.
And we also must include the conditions:
x ≥ 0
y ≥ 0
Because you can only buy positive numbers of fruit.
This will restrict us to the first quadrant only
Then the graph will be the one shown below.
Where the solutions are the ones in the double shaded region in the first quadrant.
The inequalities that represent the given data are [tex]\rm y \leq \dfrac{15-4x}{2.5}[/tex] and [tex]\rm y\geq 5-x[/tex] and the graph of these inequalities is attached below.
Given :
Cherries cost $4/lb. Grapes cost $2.50/lb. You can spend no more than $15 on fruit, and you need at least 5 lb in all.The following steps can be used in order to determine the graph showing the amount of each fruit you can buy:
Step 1 - Let 'x' be the total amount of cherries in pounds and let 'y' be the total amount of grapes in pounds.
Step 2 - The inequality that represents the total amount of fruits you can buy is given below:
[tex]\rm 4x+2.5y\leq 15[/tex]
[tex]\rm y \leq \dfrac{15-4x}{2.5}[/tex]
Step 3 - The inequality that represents the total amount of fruits you need to buy:
[tex]\rm x+y\geq 5[/tex]
[tex]\rm y\geq 5-x[/tex]
Step 4 - The graph that represents the inequalities evaluated in the above steps is attached below.
For more information, refer to the link given below:
https://brainly.com/question/19491153
Related Questions
a $380 television cost $411.35 after tax is added. What is the percentage of the tax
Answers
Answer:
The tax percentage is 8.25 percent
Step-by-step explanation: After multiplying multiple tax percentages I found that 8.25 was the right tax percentage.
Hope this helps.
Find the x−and y−intercepts. −2x − 5y = 20
Answers
Answer:
X=10, Y=4
Step-by-step explanation:
Along the y-axis, x = 0.
2(0) + 5y = 20
5y = 20
y = 4
Your y-intercept is at (0,4).
Along the x-axis, y = 0
2x + 5(0) = 20
2x = 20
x = 10
Your x-intercept is at (10,0).
Answer:
-2x-5y=20 (if x= 2 )
[tex] - 2 \times 5 - 5 \times y = 20 [/tex]
[tex] - 20 - 5 \times y = 20[/tex]
[tex] - 5 \times y = 40[/tex]
[tex]y = 8[/tex]
wht is negative 100 plus 50 plus negative 20
Answers
Answer:
-70
Step-by-step explanation:
just use a calculator my g
Answer-70
Step-by-step explanation:
-100 plus 50 = -50 then you add -20 making it -70
Transversal t cuts parallel lines a and b as shown in the diagram. Which equation is necessarily true?
A. m∠1 = m∠2
B. m∠4 = m∠6
C. m∠1 + m∠5 = 90°
D. m∠3 + m∠5 = 180°
E. m∠7 = m∠8
Answers
Answer:
D is true
Step-by-step explanation:
A, B, C, and E are supplementary pairs so they cant equel each other.
Answer:
the answer would be d! got it right on plato.
Step-by-step explanation:
Solve by Graphing. y = 4x y = x + 3
Answers
Answer: 99% sure its (1,4)
Step-by-step explanation:
I need the real answer for this one please!?
Answers
Answer:
x=7
Step-by-step explanation:
inverse problems
48+1=49
the root of 49 is 7
Answer:
x = ± 7
Step-by-step explanation:
Given
x² - 48 = 1 ( add 48 to both sides )
x² = 49 ( take the square root of both sides )
x = ± [tex]\sqrt{49}[/tex] = ± 7
he results of a survey are shown below. In the survey, 12 students said that they would like to learn French. How many of the students surveyed would like to learn Spanish?
A drawing shows a result of a survey on a piece of paper. It shows the percent of students who like to learn different languages. It shows the percentages as Spanish, 36; French; 24; German, 18; other, 22.
Answers
Answer:
18 students
Step-by-step explanation:
Now think of it in this form. 12 students wanna learn french which is 24% and in this problem we have to find 24% of "x" is 12. The answer is obviously 50. Now go to German and you can see that 18% want to learn German. All you have to do is find 50% of 18 to get your answer which is 9. Now follow that same pattern with the Spanish one. If 36% want to learn Spanish, just find 50% of it or half of it and that could be done by doing 36 divided by 2 to get 18 as your answer. Another way to do it is my turning 50% into 0.5 and multiplying it by 36 to get your answer. As a result, your answer is 18 students want to learn Spanish.
how many times can 15 fit into 25
Answers
Answer:
1 time
Step-by-step explanation:
15x2=30
and 30 is more than 25, therefore, 15 only fits in 25 one time
Answer:
only 1 time
you can divided the answer but it will just keep repeating
1.6666666666667
following describes the translation of a point from (0,-3) to (3,-8)
Answers
Answer:
D
Step-by-step explanation:
Answer:
D) 3 units right and 5 units down
Step-by-step explanation:
following describes the translation of a point from (0,-3) to (3,-8)
ok so from (0,-3) to (3,-8)
(x,y)
x= right or left movement
y= up or down movement
3 units right and 5 units down
PLEASE HELP SOLVE THIS!!!!!!!!!!!
Answers
9514 1404 393
Answer:
a) yes; 12/15/17 ~ 20/25/x; SAS
b) x = 28 1/3
Step-by-step explanation:
The left-side segments are in the ratio ...
top : bottom = 12 : 8 = 3 : 2
The right side segments are in the ratio ...
top : bottom = 15 : 10 = 3 : 2
These are the same ratio, and the angle at the peak is the same in both triangles, so the triangles are similar by the SAS postulate.
Normally, a similarity statement would identify the triangles by the labels on their vertices. Here, there are no such labels, so we choose to write the statement in terms of the side lengths, shortest to longest:
12/15/17 ~ 20/25/x
__
The sides of similar triangles are proportional, so the ratio of longest to shortest sides will be the same in the two triangles. In the smaller triangle, the longest side is 17/12 times the length of the shortest side. The value of x will be 17/12 times the length of the shortest side in the larger triangle:
x = 17/12 · 20 = 340/12
x = 28 1/3
Being a bullfrog, Lilly is good at hopping. She can hop 9 inches with each hop! How
many hops will it take for her to hop across a sidewalk that is 60 inches wide?
7
8
6
5
Answers
Answer:
Step-by-step explanation:
60 / 9 = 6.66666...
it will take lily 7 hops to make it across
which transformation proves congruence between shap a and shape b
Answers
Answer:
A congruence transformation is a transformation that doesn't change the size or shape of an object. There are three main types of congruence transformations, and those are reflections (flips), rotations (turns), and translations (slides).
Step-by-step explanation:
i hope that helps
What is 3 divided by 48
Answers
Answer:
uhhh 16
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
Work out 1 2/3x 1 1/5
Answers
1 2/3 × 1 1/5
Convert into improper fraction !
5/3 × 6/5
30/15
6/3
2
Hola !
I think this is an Australian site !
Nice meeting you people !
☺️✌️
The annual enrollment of a university for the last nine years is recorded in the table. What quadratic function best models this set of data?
Answers
Answer:
y = 0.14 x^2 - 1.43 x + 10.75
Step-by-step explanation
got it correct on the test
The quadratic function best models this set of data is y = 10.75x² - 1.43x + 0.14.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2} \\\\\\\\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]
We have data shown in the table:
It is required to find the quadratic function best models this set of data.
Let the quadratic function is:
y = ax² + bx + c
We can find the values of a, b, and c from the table, which are constants.
From the table:
a = 10.75
b = -1.43
c = 0.14
The quadratic function is:
y = 10.75x² - 1.43x + 0.14
Thus, the quadratic function best models this set of data is y = 10.75x² - 1.43x + 0.14.
Learn more about the line of best fit here:
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16. Solve the equation. ( point)
R/4 -1=4
O 1.3
O 0.8
O 12
O 20
Answers
Answer:
D. 20
Step-by-step explanation:
Since you are subtracting, you can add 4 and 1. The sum is 5. 20/4 is equal to 5 so R = 20.
Candice is playing an online trivia game. She has 75 points and earns 3 points for each correct answer. She will advance to the next round if her score is over 90 points which statement best describes how antibiotics are used?a75x + 3 > 90 b3x + 90 90 d3x + 75 < 90
Answers
Using a linear function, the statement that best describes when she advances to the next phase is: 75 + 3x > 90.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.Considering that she already has 75 points, and earns 3 points for each correct answer, her score is modeled by the following function:
T = 75 + 3x.
She advances to the next phase if she scores over 90 points, hence the statement is:
T > 90
75 + 3x > 90.
More can be learned about linear functions at https://brainly.com/question/24808124
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Answer:
c.3x+75>90
Step-by-step explanation:
help mee pleaseee this doesnt even make sense lol
Answers
Answer: 2 is less than or equal to x which is less than 4
Step-by-step explanation:
A group of 9 workers was assigned to paint the walls in a house, which could be completed in 48 hours. However, after working 8 hours, some of the workers left the group and the remaining workers could complete the job in 72 hours. How many workers left the team?
Plz write equation:0
Answers
Answer: 4 workers
==============================================
Explanation:
We have 9 workers painting walls in a house. Let's say the total square feet needed to be painted is 9000 square feet. I picked some arbitrary large multiple of 9, so that it leads to 9000/9 = 1000 square feet per worker.
In other words, each worker paints 1000 square feet.
They can do the job in 48 hours, which means their rate is 1000/48 = 125/6 square feet per hour approximately.
After 8 hours, each worker paints 8*(125/6) = 500/3 square feet. So all 9 workers painted 9*(500/3) = 1500 square feet
Put another way: they got 8/48 = 1/6 of the job done after 8 hours, so (1/6)*9000 = 1500 sq feet of wall has been painted so far. This leaves 9000-1500 = 7500 sq ft unpainted.
------------------------------------------------
Let x be the number of workers that leave.
There are 9-x people still on the job.
The 7500 sq ft of left over wall is divided among the 9-x people. Each worker gets 7500/(9-x) sq feet of wall to paint.
Earlier we found each worker's rate was 125/6 sq ft per hour. If they complete the remaining job in 72 hours, then,
(rate)*(time) = (amount of job done)
(125/6)*(72) = 7500/(9-x)
1500 = 7500/(9-x)
1500(9-x) = 7500
9-x = 7500/1500
9-x = 5
-x = 5-9
-x = -4
x = 4
4 workers went home.
If 4 workers went home, then 9-4 = 5 workers remain
They each have 7500/5 = 1500 sq ft of wall to paint, which helps confirm the answer.
Two years ago, the water level in a local reservoir fell 834 feet. Last year, the water level rose 435 feet. By how many feet did the water level of the reservoir change overall during these two years?
Answers
Answer:
- 4 3/20 The other person is correct
Step-by-step explanation:
The water is 399 feet fell.
What is unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Two years ago, the water level in a local reservoir fell 834 feet.
Last year, the water level rose 435 feet.
So, the water level of the reservoir change overall during these two years
= -834 + 435
= -399
Hence, the water is 399 feet fell.
Learn more about Unitary Method here:
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Which of the following does NOT show an identity property?
2 + 1 = 3
5 ÷ 1 = 5
3 − 0 = 3
4 × 1 = 4
Answers
Answer:
2+1 = 3
Step-by-step explanation:
The first one
2+1 = 3
the identity properties are :
n+0=n
n-0=n
n/1=n
n*1=n
and the one that does NOT show an identity is 2+1=3
Enter an expression which would represent the simplified form of 4x + 8 subtracted from 2x - 10?
Answers
Answer:
2x - 2
Step-by-step explanation:
Move the numbers to be near their mates
4x - 2x + 8 - 10
Then solve as much as you can
4x - 2 = 2x, 8 - 10 = -2
2x - 2
combine these radicals
[tex] - 12 \sqrt{12} - 2 \sqrt{3} [/tex]
Answers
PLEASE PLEASE HELP ME!
Answers
Answer:
Step-by-step explanation:
Lincoln earned $45 for raking his neighbor's leaves 5 times. If Lincoln charged the same rate and earned $81, how many
times did he rake his neighbor's leaves? Use a unit rate to find the unknown value.
SI
15
5
times
Answers
Answer:
For the gavin's lawn mowing problem that got deleted, the answer is 9.
Step-by-step explanation:
If Gavin earns $42 for mowing his neighbor's lawn 7 times, then he earns $6 every time he mows his neighbor's lawn. If he earns $54 at the same rate, he would have to mow his neighbor's lawn 54/6 = 9 times
The amounts below show the change (measured in feet) in water level over four months. What is the average monthly change in water level?
-1/8, -9/8, -12/8, 2/8
Answers
Answer:-5/8
Step-by-step explanation:
Which of the following is a linear function?
Answers
Answer:
I believe the first one but I'm not 100% sure.
Determine the domain on which the following function is decreasing.
Answers
Using function concepts, it is found that the domain in which the function is decreasing is: [tex](-\infty,2][/tex]
-------------------------------
The domain of a function is composed by it's input values, in a graph the x-values.The function is decreasing when y decreases as x increases.-------------------------------
The arrows in the graph indicates that the function goes from negative infinity to positive infinity.The graph, that is, y is falling for x between negative infinity and 2.Thus, the domain for which the function is decreasing is given by: [tex](-\infty,2][/tex]A similar problem is given at https://brainly.com/question/14979017
Can you help me out with this question 5 pls
Answers
During the day, Lola's dog is tied by rope to a tree in the center of her yard. The scale drawing below shows the area that the dog has to run. If the actual length of the rope is 12 1/2 feet, what is the scale used in the drawing? 1 9/16
Answers
Answer:
[tex]Actual\ Length : Scale\ Length = 8 : 1[/tex]
Step-by-step explanation:
Given
[tex]Actual\ Length = 12\frac{1}{2}ft[/tex]
[tex]Scale\ Length = 1\frac{9}{16}ft[/tex] --- See attachment
Required
Determine the scale used
The scale of the drawing can be represented using the following ratio
[tex]Scale = Actual\ Length : Scale\ Length[/tex]
Substitute values for actual and scale lengths
[tex]Scale = 12\frac{1}{2}: 1\frac{9}{16}[/tex]
Convert to improper numbers
[tex]Scale = \frac{25}{2}: \frac{25}{16}[/tex]
Convert to division:
[tex]Scale = \frac{25}{2}/\frac{25}{16}[/tex]
[tex]Scale = \frac{25}{2}*\frac{16}{25}[/tex]
[tex]Scale = \frac{1}{2}*\frac{16}{1}[/tex]
[tex]Scale = \frac{16}{2}[/tex]
[tex]Scale = \frac{8}{1}[/tex]
Convert to ratio
[tex]Scale = 8 : 1[/tex]
Hence, the scale of the drawing is:
[tex]Actual\ Length : Scale\ Length = 8 : 1[/tex]