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?

A Basket Holds At Most 14 Pounds Of Apples And Oranges. There Are At Least 3pounds Of Apples In The Basket.

Answers

Answer 1

Answer:

D

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

Understanding Exponents -
HELP ME ASAP!!!
I’m not good at this stuff

Answers

Answer:

4+4+4

Step-by-step explanation:

ok so 4^3 is essentially saying 4x4x4  and 4 x 4^2 is saying 4 x 4 x 4 which is the same as 4x4x4. it is all multiplying the number 4 by itself 3 times if you try and do all three of those you will get the same answer which is 64. However if you add 4+4+4 you will get 12. I hope that makes some sense

Which of these is the best estimate four 370% of 30?

Answers

Answer:

greater than 3·30

370%=3.7

3.7×30= 111

3×30=90

111>90

I hope this helps:

If a necklace has a 10% increase so its £154 pound what was the price before the increase.

Answers

Ugh hdxurzyePyeztowT us

Solve the system of linear equations by graphing.
y=-3x + 5
y=-2x + 4

Answers

Step-by-step explanation:

the answer from the graph is:

(1 , 2 )

help me please******

Answers

The answer to this equation is B I think

can someone answer my newest question please will give brainly

Answers

Answer:

yes if you give me brainliest

Step-by-step explanation:

A store sells hardcover books for $8 and paperback books for $5. You buy 7 books, represented by the equation x + y = 7, where x is the number of hardcover books and y is the number of paperback books. The equation 8x + 5y = 44 represents the total cost. How many of each type of book did you buy?

Answers

Answer:

You bought 3 hardcover books and 4 paperback books.

Step-by-step explanation:

8×3+5×4=44

Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!! Show your work !!!!!!!!!!!!

Answers

Answer:

41 degrees

Step-by-step explanation:

82/2 = 41

The image shows a series of figures.
Its history not math srry

2 rows of numbers. The top row shows Arabic numbers and the bottom row shows Roman numerals: 1, 2, 3, 4, 5, 6, 7, 8, 9, 0.


This new way of counting included which idea?


a decimal system

a calendar system

the concept of pi

the introduction of algebra

Answers

Answer:

I have no idea. I think its D ( the introduction of algebra )

Step-by-step explanation:

This is because I heard something about this while learning history. I am also doing the exam review. Good luck!

Answer:

a decimal system

Step-by-step explanation:

I did the test and choose b cause everyone says so, then i got it wrong, the correct answer it shows was A: a decimal system

At the market you can buy 6 bags of apples for$31.02. At the orchard you can get 5 bags of apples for $25.40. Which is the better deal​

Answers

Market: $31.02/6 bags of apples
Orchard: $25.40/5 bags of apples

Market: $5.17/bag of apples
Orchard: $5.08/bag of apples

So, in conclusion, the apples at the orchard have a better deal than the apples at the market by $0.09.

Have a great day and also, can you please mark my answer as the brainliest answer?
Thanks.

Buying bags of apples from orchard will be the better deal.

What is unit price?

Unit price cab be found by using formula ,dividing the total price by the price of of one quantity.

Formula used for finding unit price

[tex]price of one item=\frac{total price }{total number of items}[/tex]

According to the given question

At the market:

Cost of 6bags of apples=$31.02

⇒ Cost of 1bag of apples [tex]=\frac{31.05}{6} =5.17[/tex]

At the orchard:

Cost of 5bags of apples =$25.40

⇒ Cost of 1bag of apples=[tex]\frac{25.40}{5}[/tex]=$5.08

Therefore, unit price of a bag of apples from orchard  is less as compared to the bag of apples from market.

Hence, buying bags of apples from orchard will be the better deal as compared to the buying bags of apples from market.

Learn more about the Unit Price here:

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What is the highest common factor of 45 and 315?

Answers

The highest common factor is 45

The GCF of 45 and 315 is 45. So before conformation of my answer refer to your math teacher .

The height to the top of the
lightning rod on the Empire State
Building is 1,454 feet. Tricia has
a miniature replica that is 10
inches tall. The height of the
observation deck is 8.3 inches.
About how tall is the actual
observation deck?

Answers

200,836,937,908 Feet

Answer:

the answer 1,206.82

Step-by-step explanation:

The population of Westville grew from 25,000 to 27,000 in two years. What was the percent of increase for this period of time?

Answers

Answer:

8 percent

Step-by-step explanation:

27000-25000=2000

do that as a percent

Your friend earns $10.50 per hour. This is 125% of her hourly wage last year. How much did your friend earn per hour last year?

Answers

answer:

i think it’s $8.40

explanation:

10.50/?=125/100

i multiplied 10.50 by 100 to get 1,050 and then i divided 1,050 by 125.

hoped this helped.

Alison has 63 books on her bookshelf. If she plans on donating ⅓ of her books, how many will Alison have left on her bookshelf?

Answers

Answer:

42 books.

Step-by-step explanation:

What the question's really asking is 63 * 2/3, since 2/3 is all that's left after she donates 1/3 of her books. ( 63 / 3 ) * 2= 42.

Therefore, Alice will have 42 books remaining.

Answer:

Step-by-step explanation:

Step-by-step explanation:

( 63 / 3 ) * 2= 42. Therefore, Alison will have 42 books remaining.

ples show work- kskskskskskksksksk

Answers

Answer:

61

Step-by-step explanation:

8-(36/9)+99-(6x7)

8-4+99-42

4+57

Answer:

11

Step-by-step explanation:

For this, we need to follow PEMDAS (Parenthesis, exponent, multiply/divide, add/subtract). First, we do the parenthesis, this gets us 8 - 4 + 49 - 42. Since this is all addition/subtraction, we do it from left to right. 8-4 is 4. Now our equation is 4 + 49 - 42. 4 + 49 is 53. Now our equation is 53 - 42. That is 11. That means our answer is 11.

Mai skated x miles, and Clare skated ⅗ farther than that. Write an expression for the distance Clare skated.

Answers

Answer:

Its either 8x/5 or 5x/8

im not sure sorry.

Find the value of x. 42 58 x

Answers

Answer:

38 48

Step-by-step explanation:

Tell whether a rigid motion can move the solid figure onto the dashed figure. If so, describe the transformation(s) that you can use. If not explain why the figures are not congruent.

Answers

Answer:a rotation of 90° followed by a reflection over the y-axis

Step-by-step explanation:

A line passes through the points (-8, 7) and (-11,-11). Find the value of a such 1 point
that the point (-7,a) lies on the line. a=
Your answer

Answers

Answer:

a=12

Step-by-step explanation:

we need the slope of this line. Find it with the slope formula

m= y2-y1 / x2-x1    with the points given p1=(-8,7)  and p2=(-11,-11)

m=-11-7 / -11-(-8)                                               (x1,y1)               (x2,y2)  

m= -18 /-11+8

m= -18 / - 3

m= 6

next plug in one of the point into the point-slope formula [y-y1=m(x-x1)]

y-7=6(x-(-8))  ( simplify this towards the slope intercept form [y=mx+b]

y-6=6(x+8)

y-6=6x+48

y=6x+54

now we can plug in our point of (-7,a) to find what a is

a=6(-7)+54

a=-42+54

a=12

:)

round your answer to the nearest hundredth angleB =

Answers

Answer:

Use law of sine

sin90/9=sinB/4

4sin90/9=sinB

sin^-1(4sin90/9)=(sinB)sin^-1

=26.3877999612

26.39 degrees

35% of 15 is what number

Answers

Answer: 5.25

Step-by-step explanation: .35*15=5.25

Answer:

5.25

Step-by-step explanation:

change the percent to a decimal by moving the dot to the left two places, then multiply it by the number

0.35*15=5.25

What is the common factor that we can divide 6 and 8 by?

Answers

Answer:2

Step-by-step explanation:

URGENT. CAN SOMEONE PLEASE HELP ME WITH GEOMETRY? CHECK MY PAGE FOR EZ POINTS!!! :DDD

Answers

Answer:

i got you fam

Step-by-step explanation:

see ya

Gimme something to put in Goo gle translate (inna different language d u h)​​

Answers

Answer:

Խնդրում եմ, տվեք ինձ ամենախելամիտը

Step-by-step explanation:

PLZ ANSWER
What patterns do you see in the pairs of numbers? Which is the greater number in each pair? Explain how you know.
a) 2 3 or 3 2
b) 2 5 or 5 2
c) 3 4 or 4 3
d) 5 4 or 4 5

Answers

The second number is reverse of the first number in each pair

32
52
43
45

I know this because if I do 23 minus 32 I get a negative number, however if I do 32 minus 23 I get a positive number meaning 32 is bigger

find the distance between points P(5,8) and Q(1,7) to the nearest tenth

Answers

Answer:

[tex]length = \sqrt{ {(x _{1} - x_{2} )}^{2} + {(y _{1} - y_{2} })^{2} } \\ = \sqrt{ {(5 - 1)}^{2} + {(8 - 7)}^{2} } \\ = \sqrt{16 + 1 } \\ = \sqrt{17} \\ length = 4.1 \: units[/tex]

Write 2^4 by using repeated multiplication. Then find the value of 2^4

Answers

Answer:

2*2*2*2 = 16

Step-by-step explanation:

The equivalent of 2^4 = 2 x 2 x 2 x 2 (multiply 2 four times)

Write the compound inequality: " A number n is less than or equal to -7 or greater than 12

Answers

Let the number be n, then -1<3n+5<38 or -1≤3n+5≤38 depending on what is meant by “between”. We’ll assume the former.

-1<3n+5<38, subtract 5 throughout: -6<3n<33, divide through by 3: -2<n<11, shows the number to be in the range (-2,11) or possibly [-2,11].

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

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