A basket holds at most 14 pounds of apples and oranges. There are at least 3
pounds of apples in the basket. This graph shows the system that represents
this scenario, where x is the weight of the apples and y is the weight of the
oranges.
Which point represents a viable solution?

Answers

Answer 1

Answer:

Step-by-step explanation:

First, there must be at least 3 pounds of apples in the basket. Apples are the first number, so B and D are our options. As it is impossible to have a negative weight of oranges, D is our answer

Answer 2

The point that represents a viable solution is D(4, 3).

What are systems of inequalities?

At least two linear inequalities in the same variables make up a system of linear inequality in two variables. The graph of a linear inequality is the graph of all solutions to the system, and the solution of a linear inequality is the ordered pair that resolves all inequalities in the system.

The graph shows the system of inequalities:

x + y ≤ 14

x ≥ 3

y ≥ 0

where x is the weight of the apples and y is the weight of the oranges.

We need to find the point that represents a viable solution, which means it should satisfy all three inequalities.

Let's check each option:

A(2, 9):

2 + 9 ≤ 14 (satisfied)

2 < 3 (not satisfied)

9 ≥ 0 (satisfied)

A(2, 9) does not satisfy the second inequality, so it is not a viable solution.

B(3, -2):

3 + (-2) ≤ 14 (satisfied)

3 ≥ 3 (satisfied)

-2 ≥ 0 (not satisfied)

B(3, -2) does not satisfy the third inequality, so it is not a viable solution.

C(1, 14):

1 + 14 ≤ 14 (not satisfied)

1 ≥ 3 (not satisfied)

14 ≥ 0 (satisfied)

C(1, 14) does not satisfy the first inequality, so it is not a viable solution.

D(4, 3):

4 + 3 ≤ 14 (satisfied)

4 ≥ 3 (satisfied)

3 ≥ 0 (satisfied)

D(4, 3) satisfies all three inequalities, so it represents a viable solution.

Therefore, the point that represents a viable solution is D(4, 3).

To learn more about the systems of inequalities;

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Related Questions

What is the equation of a line with slope 4 and passes through point (4,2)?

Answers

Answer:

y = 4x - 14

Step-by-step explanation:

Use point-slope form and substitute the values.

y - 2 = 4(x - 4)

y - 2 = 4x - 16

y = 4x - 14

Please graph y=2/3-4.
This is about slope.
I would really appreciate it if you would help.
Thanks!

Answers

I found this for your answer

Ok so you wanna start at the y intercept, which is -4 and make a dot there. The slope is 2/3 which is y over x. So from -4, go up 2 and over to the right 3. You could also go down 2 and to the left 3 because two negatives make a positive.
Sorry the graphs so bad lol

The value of a professor basketball players autograph rose 30% in the las year.It is now worth $286.00. What was it worth a year ago

A. $210.00
B. $230.00
C. $200.00
D. $220.00

Answers

Answer:

$220 dollars

Step-by-step explanation:

a = p * w (the percentage formula)

subsitute. It rose by 30 % since last year so you're going to put 1.30 (30% -> 0.30 then add 1)

286 = 1.30 * w

solve.

w = 220

98.92 as a decimal to 2 places

Answers

Answer:

98.9 i think

Step-by-step explanation:

to round to 2 decimal places, look for the number 2 places from the decimal point. that number is 2. is there any number next to it on the right? no. so just round.92 which is 98.9

2 decimal places question.

98.92 would remain exactly the SAME if all u want is 2 decimal places answer

= 98.92

Help I will mark brainliestttt

Answers

Answer:

Step-by-step explanation:

its c

13 = -2 ( y - 4 ) + 3y

Answers

Answer:

Step-by-step explanation:

13 = -2y + 8 + 3y

13 = y+8

y = 5

WILL MAKE BRAINLIEST
The Point of Concurrency made from medians is a(n):

Answers

Answer:

centroid

Step-by-step explanation:

Find the values of b such that the function has the given maximum value [tex]f(x) = -x^2+bx-65[/tex]. I already have it in vertex form as [tex]-(x+\frac{b}{2})^2-65+\frac{b^2}{4}[/tex] but I don't know what to do from here

Answers

Answer:

b = {20, -20}

Step-by-step explanation:

Given function:

f(x) = -x² + bx - 65 with maximum value of 35

To find

The value of b

Solution:

Maximum value is obtained at vertex as a < 0

Vertex coordinate of x is:

x = -b/2a = -b / -2 = 1/2b

Solving for b:

35 = - (1/2b)² + b(1/2b) - 65- 1/4b² + 1/2b² = 1001/4b² = 100b² = 400b = √400b = ± 20

See attached

Last year there were m members in a photography club. This year the number of
members has increased by 10%. The expression m + 0.1m represents the number of
members in the club this year. What is this expression written in simplest form?

Answers

Answer:

m + 10/100(m)

Step-by-step explanation:

Last year there were m members in a photography club.This year the number of members has increased by 10%m + 0.1m represents the number of members in the club this year.

So m represents the number of members in the club last year.

A 10% increase of the members = [tex]\frac{10}{100} * m[/tex] = 0.1m

Hence the number of members in the club this year = m + 0.1m

PLEASE PLEASE HELP!~!!!!!!!!!!!!!!!!!!!!!!!!

Answers

9514 1404 393

Answer:

$6.87

Step-by-step explanation:

The cost of 0.6 pounds of blueberries is ...

(0.6 lb)($3.98/lb) = $2.39

The cost of 1.8 pounds of clementines is ...

(1.8 lb)($2.49/lb) = $4.48

Then the total cost of the purchase is ...

$2.39 +$4.48 = $6.87

The combined cost is $6.87.

The price of a wakeboard that regularly sells for $600 is reduced to $528 by what percentage is the price reduced?

Answers

Answer:

12%

Step-by-step explanation:

600-528=72. (subtract)

72/600= 3/25. (simplify)

3/25 = 12%. ( convert to percent)

(answer accuracy not garunteed)

Answer:

600-528 = 72

72/600 = 0.12

0.12 X 100 = 12 %

It is reduced by 12 %

Find the value of x I’d appreciate if you could explain as well if not that’s fine

Answers

All the angles in a circle equal to 360 degrees. So basically just add up all the known values: 23+23+15=61 and then subtract that from 360: 360-61=299.

You can also do 23+23+15+x=360. Adding it all becomes 61+x=360, subtract 61 from both sides of the equation, and you get x=299.

(Something to help remember is that the angle is obtuse, meaning it’s automatically more than 90 degrees, hope this helps!)

Please can someone answer this question quickly please

Thanks

Answers

Answer:

C. 5/7

Step-by-step explanation:

Answer:

It is C.5/7

Step-by-step explanation:

Hope this helped have an amazing day!

6x + 3y = 12
4x + y = 14 what is the solution

Answers

Answer:

x=5 y=-6

Step-by-step explanation:

6x + 3y = 12 , 4x + y = 14

4x*3+y*3=14*3

12x+3y=42 , 6x+3y=12

(12x-6x)+(3y-3y)=30

6x=30, x=5

4*5 + y = 14

y=-6

Write an equation of the line passing through point P(2, 3) that is perpendicular to the line y -4 = -2(x+3)

Answers

Perpendicular = opposite sign and reciprocal slope
Slope of -2 turns into 1/2
Y-y1 = m(x-x1)
Solution; y-3 = 1/2(x-2)

Sam runs 6 miles in 45 minutes. At the same rate, how many minutes would he take to run 4 miles?

Answers

Answer:

It would be 30 mph

Step-by-step explanation:

45/6=7.5

7.5*4=30

Answer:

30 minutes

Step-by-step explanation:

Each mile takes him 7 minutes 30 seconds. So you will do 7.5 x 4 to get 30 minutes

if two angles in a triangle are 40° and 30°, then the third angle measures 110

Answers

Answer:

Step-by-step explanation:

Jayanti takes shortest route to her home by walking diagonally across a rectangular park. The park measures 60 meters ×80 meters. How much shorter is the root across the park than the route around its edges?

Pls help!!! It's due today in about 6 hours!!!!! I would also like a proper explanation instead of the answer itself!!!!

Answers

Answer:

The route across the park is 40 meter shorter than the route around its edges.

Step-by-step explanation:

We have to calculate the distance for both routes

As the route around the edges is straight, we have to find the sum of length of both edges

Let [tex]R_E[/tex] be the distance of route around edges

[tex]R_E = 80+60 = 140\ meters[/tex]

Now we know that a diagonal divides a rectangle in two right angled triangles in which the diagonal is the hypotenuse.

We can use Pythagoras theorem to find the length of the diagonal

So,

[tex]H^2 = P^2 + B^2[/tex]

In the given scenario

P = 60

B = 80

Now

[tex]H^2 = (60)^2 + (80)^2\\H^2 = 3600+6400\\H^2 = 10000\\\sqrt{H^2} = \sqrt{10000}\\H = 100\ meters[/tex]

In order to calculate that how much shorter is the path across the park, we have to subtract the distance across park from the distance across edges.

[tex]= 140-100 = 40\ meters[/tex]

Hence,

The route across the park is 40 meter shorter than the route around its edges.

Gwen borrows $300 from her parents to buy a bike. She agrees to pay them back with 3% simple interest every month for one year. What is the total amount of money Gwen will owe her parents? *
Just enter the numerical portion of your answer - no dollar signs or change needed!

Answers

Answer:

309.12

Step-by-step explanation:

A = total amount

P = principal

r = interest rate

n = number of times interest is compounded

t = time (in years

A = P(1 + [tex]\frac{r}{n}[/tex])^nt

A = 300(1 + [tex]\frac{.03}{12}[/tex])^12 · 1

A = 300(1.0304)

A = 309.12

Answer:

408

Step-by-step explanation:

answers for the 2 boxes please :)

Answers

(-3,-6) i hope this helps
have a great day!:)

What’s this? I need help

Answers

Answer:

Its PS equals QR: A

Step-by-step explanation:

Like segment PLEASE HELP MEEEEEE

Answers

Answer:

I think it is 8

Step-by-step explanation:

Im sorry if it is wrong :(

I think it’s 7 I did with my class so I think it’s 7

A restaurant what is quantitative and flower Child towers the ratio of the number of corn to tell us to the number of flour tortillas is fortified what is the measure of the number of how to tease to the total number of tortillas I know it’s a lot but plz help

Answers

Answer:

i belive it is 2:5

Step-by-step explanation:

this is because 2 and 3 represent both the corn and flour the sum is the total

In New Mexico, the state sales tax rate is 5.125%. The price tag on a baby crib gives the price as $320. There are no discounts available. What is the total cost for the crib, including sales tax, in New Mexico? *

Answers

Answer: $336.40

Step-by-step explanation: 5.13% of $320 would be $16.40 just add that on to the before tax price.

write a paragraph to describe a time when you collaborate with a
partner or a group on a project in school. It does not have to be regarding math.
Describe the project and your experience working with a team. What were the
pros and cons? Do you prefer to work in a group or by yourself.

Answers

Answer:

aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Step-by-step explanation:

Answer:

Step-by-step explanation:

I had a partner(s) work on a project in middle school. This was in social studies, and we were writing a fictional story about the life a neanderthal (butchered that word). I hated working with the people, they were fine, I just work better alone. If there are multiple things people can work on seperatly, working in a group is great. Writing a paper is horrible, I hate working in a group in that situation.

PLZ HELP ILL GIVE BRAINLIEST

Answers

Answer:

-1 -9i, where a = -1 and b = -9

Step-by-step explanation:

1st step is to open up the brackets. Since there's a (-) in front of the second bracket, we have to multiply every term by -1, so positive becomes negative, negative becomes positive etc.

4-i-5-8i

Then we collect like terms.

-1 -9i

This is the answer. It looks wrong since the variables are 'positive' in a +bi, but you have to remember that a variable can be represented as a, but its actual value could be negative, in this case -1. This is the same with b, as b could be the same as -9.

This is an expression, so we can't multiply everything by -1 to make it 'look right'. You can only multiply by -1 or 'alter' the terms when the expression equates to something.

give answer fast...
it's very important for me....
then I give you 20 thanks...(◍•ᴗ•◍)❤

Answers

Answer:

I have the answer

Step-by-step explanation:

Answer:

the required answer is 18

Step-by-step explanation:

see the solution in attached picture

i hope u got it

Can someone tell me What dose Y=??

Answers

the answer to your question is y= 1/4+1x

The area of a square mural pointed on the side of a building is 110 square feet. What is the best estimate of the side length of the mural?

A.10 Feet
B.10.2 Feet
C.10.5 Feet
D.10.8 Feet

Answers

Answer:

Step-by-step explanation:

Area of a square equals to the square of its side, therefor the side of a given area for a square is the square root of the area.

[tex]A = a^{2}\\a = \sqrt{A}\\a = \sqrt{110} = 10.48 ft[/tex]

What is the Equation of the Line Passes through the points (-4,8) and (1,3)

show work please, i need these asap and thx for trying :)

Answers

Answer: y = –x + 4

Explanation:

y=-x+4 is the Equation of the Line Passes through the points (-4,8) and (1,3).

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The slope of line passing through points (-4,8) and (1,3)

m=3-8/1+4

=-5/5=-1

Now we need to find the y intercept

8=-1(-4)+b

8=4+b

b=4

Hence, y=-x+4 is the Equation of the Line Passes through the points (-4,8) and (1,3).

To learn more on slope of line click:

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A basket holds at most 14 pounds of apples and oranges. There are at least 3 pounds of apples in the basket. This graph shows the system that represents this scenario, where x is the weight of the apples and y is the weight of the oranges. Which point represents a viable solution?

Answers

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A basket holds at most 14 pounds of apples and oranges. There are at least 3
pounds of apples in the basket. This graph shows the system that represents
this scenario, where x is the weight of the apples and y is the weight of the
oranges.
Which point represents a viable solution?