Jaxon and Lucius were selling lemonade. Jaxon and Lucius have a difference of 5 cups sold. Jaxon was selling his for $6 a cup and Lucius was selling his for $3 a cup and together they made $300 in revenue. How many cups did Jaxon and Lucius sell each?



1. Define your variables: x is ______. y is ________. (4 points)

2. Write two equations (6 points)

Solve this system of equations using all three methods: graphing, substitution and elimination.

Show all your work.

Remember your graph should match the answers for the other two methods. All answers should be identical, it's just 3 different ways of solving the same problem.



3. Solve using graphing. Include your graph with labels. (10 points)

4. Solve using substitution. Show all work. (10 points)

5. Solve using elimination. Show all work. (10 points)

6a. What is the solution? This should be written as an ordered pair. (2 points)

6b. What does the answer mean in context of the problem? In other words, explain your answer with words/labels. (3 points)

Answers

Answer 1

Answer:

the points are (35,30) you may need to search a graph online i used desmos

Step-by-step explanation:

1.     x= Jacksons Cups   y= Lucius Cups2.       x -  y= 5           6x + 3y = 300Substitution:                                                 6 (y+5) + 3y = 300             6y + 30 + 3y = 300                9y =   270                dived both by 9                         y=30        Sub y for other equation            x - 30 = 5         add 30 to both sides           x = 35        Answer:   (35, 30)     Graphing:   x- y = 56x+ 3y = 300solve both for y y = x-5 6x + 3y = 300minus 6x from both sides the points are in y = mx + b y= 1x -5 y= -2x + 100  I will also leave the ss of the graph in the comments if you cannot see it  My labels for the x-axis is Jacksons cups and y Is luscious cups.  Elimination:x - y = 5 6x + 3y = 300 First I manipulated the equations by the following    - 6 (x - y = 5 )   1(6x  + 3y = 300 )      -6x + 6y = -30        6x + 3y  = 300          The 6 x's cancel  and add the y's and real numbers together           9y = 270           dived both by 9                   y= 30        Sub y for other equation                      x - 30 = 6                add 30 to both sides                x= 30  The points are  (35, 30) The solution is (35,30)They represent how many cups they sold.   35 is Jackson cups and 30 is Lucious's cups  


Related Questions

please help! it’s due today haha it’s pythagoras

Answers

Answer:

x = 6.22 cm

Step-by-step explanation:

The lines on the sides of the triangle means they are the same length

Since it is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

Substituting what we know

a^2 + a^2 = x^2

a=4.4

(4.4)^2 + (4.4) ^2= x^2

19.36 + 19.36 = x^2

38.72 = x^2

Taking the square root of each side

6.222539674 = x

Rounding to 3 significant figures

x = 6.22 cm

2(2t +7) = 4t+14
solve for t

Answers

Answer:

( - ∞, ∞)

Step-by-step explanation:

Any value of t makes the interval notation ^^^

If a car travels 400 meters in 20 seconds how fast is it going?

Answers

Answer:

[tex]\huge\boxed{\sf v = 20\ m/s}[/tex]

Step-by-step explanation:

Given Data:

Distance = S = 400 m

Time = t = 20 secs

Required:

Speed = v = ?

Formula:

v = S/t

Solution:

v = 400 / 20

v = 20 m/s

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Triangle ABC is a right triangle. Triangle A B C is a right triangle. Angle A C B is 90 degrees, angle C B A is 31 degrees, and angle B A C is 59 degrees. What is the relationship between angles A and B?

Answers

Answer:

see explanation

Step-by-step explanation:

Complementary angles sum to 90°

∠ CBA = 31° and ∠ BAC = 59° , sum to 90° (31° + 59° = 90° )

Thus

∠ A and ∠ B are complementary angles

Answer: They are complementary

Step-by-step explanation: took the test on edge!

Are the ratios 10:20 and 2:4 equivalent. yes or no? PLEASE HELP! :D

Answers

Answer:

yes they are equivalent

Answer:

[tex]\huge\bold\purple{ Yes }[/tex]

factor: m^2 - 20m - 21

Answers

(m-21) (m+1)there I thinks it's right unless I messed up my work

Answer:

[tex](m - 21)(m + 1)[/tex]

Step-by-step explanation:

[tex]m^{2} - 20m - 21[/tex]

Lets split the middle term.

[tex]=> m^{2} - 21m + m - 21[/tex]

[tex]=> m(m - 21) + 1(m - 21)[/tex]

[tex]=> (m - 21)(m + 1)[/tex]

what units do scientist use to measure force

Answers

Answer: newtons

Step-by-step explanation:

Answer:

I believe it is Newtons :)

Step-by-step explanation:

X increased by 61% PLEASE YALL

Answers

The answer would be
x + 6.01

Hope this helps

Have a great day/night

I think it's

1.61x

plsbrainliest if it helped!

find the measure of
a. 180 degrees
b. 149 degrees
c. 63 degrees
d. 32 degrees

Answers

Answer:

31 Degrees

Step-by-step explanation:

63+86= 149

180-149=31

worth 10 points !! need help asap !graph: y < 2/3x + 1

Answers

use desmos if you want to graph something

which expression results from using the distributive property: 7(x+3)

Answers

Answer: a the first answer is right

If one of the angle is 60 degree and the other two are in the ratio 1:2,
find the angles.

Answers

Answer:

Let the two angles be x and 2x

Sum of angles of triangle=180°

60+x+2x=180

3x=180-60

x=120/3

x=40

2x=80

Step-by-step explanation:

40 and 80 are other two angles

The two equilateral triangles below are similar figures. What is the scale factor from the small triangle on the left to the large
triangle on the right? The triangles are not drawn to scale.

Answers

Answer:

12 : 58.8   which simplies to 1 : 4.9

Step-by-step explanation:

1.) Identify the degree of the term 3xy4

Answers

I think it’s 4 if the y4 is supposed to be y^4

Please helppp answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!

Answers

Answer:

21

Step-by-step explanation:

Remember that the centroid splits the 3 medians of a triangle into a ratio of 1:2

Since TS < TN, TS = 42/2 = 21

The ordered pair (x – 3, y + 1) was used to translate an object. To find the pre-image of the object, you would need to move _____.

A three units left and one unit up
B three units down and one unit right
C three units left and one unit down
D three units right and one unit down

Answers

b. three units down and one unit right

x minus will always translate down, x plus will always translate up.

y minus will always translate left, y plus will always translate right.

Is the exponent of a number without a written exponent 1 or 0?

Answers

Answer:

1

Step-by-step explanation:

Answers:1
That the answers


Can someone help-? Like which one is the right answer

Answers

I believe it would be 10.3
Wouldn’t it just be 14?

4.752 x 10"
Standard form

Answers

Answer:

475200000000

Step-by-step explanation:

it is 10 the power of 11 right

jackie is solving this system of linear questions: 3x+2y= 20

4x-y=30

which equations could be part of the process of solving this system?

4x+6y=20

12x+8y=80

8x-y=60

8x-2y=60

Answers

Answer: 12x+8y=80

8x-2y=60

Step-by-step explanation:

The equations that could be part of the process of solving this system are 12x+8y=80 and 8x-2y=60.

The original equation was 3x+2y= 20 and 4x-y=30. Multiplying all through by 4 gives 12x+8y=80 and 8x-2y=60.

kevin has a part time job
he earns £8 an hour
he wants to buy a new bike costing £176
how many hours does he need to work to earn enough to but it?

Answers

Kevin has to work 22 hours to afford the bike
pretty sure the answers 1408 hours
cuz 176 x 8 is 1408

Name the plane represented by the right side of the box?

Answers

Answer:

I believe it is BCG

Step-by-step explanation:

BCG I think ........

Quadrilateral ABCD is dilated by a scale factor of 3/2 to create quadrilateral A'B'C'D'. If quadrilateral ABCD has an area of 30, what is the area of quadrilateral A'B'C'D'?

Answers

Answer:

67.5

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, rotation, reflection and dilation.

Dilation is the enlargement or reduction of an object by a factor.

The area of ABCD = AB * BC = 30

As a result of the dilation to form A'B'C'D', A'B' = 3/2 * AB, B'C' = 3/2 * BC, C'D' = 3/2 * CD and A'D' = 3/2 * AD. Hence:

Area of A'B'C'D' = A'B' * B'C' =  3/2 * AB * 3/2 * BC = 9/4 * (AB * BC) = 9/4 * 30 = 67.5

Answer:

the transformation quadrilateral ABCD undergoes is a reflection.

Step-by-step explanation:

It takes 198198198 seconds to boil a perfect egg at the lowest place possible, the edge of the Dead Sea, which has an altitude of -418−418minus, 418 meters. The highest place possible is the summit of Mount Everest which has an altitude of 884888488848 meters. It takes 209209209 seconds to boil a perfect egg there. T(a)T(a)T, left parenthesis, a, right parenthesis models the time (in seconds) it takes to boil a perfect egg at an altitude of aaa meters.

Answers

Given that,

An egg takes 198 seconds to boil a perfect egg has an altitude of -418 m.

Also it takes 209 seconds at an altitude of 8848 m.

To find,

The domain of T.

Solution,

Domain is the set of input values for which the function is defined. The least value is -418 m and the highest value is 8848 m. So, the domain is :

[tex]-418\le x \le 8848[/tex]

Therefore, this is the required solution.

Answer:

real numbers

−418≤a≤8848

Step-by-step explanation:

what is the constant of variation in this relation?

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get the equation

y ∝ x

y = kx

k = y/x

here k is the constant of variation.

From the table,

substitute x = -3, y = -4 in the equation

k = y/x

k = -4/-3

k = 4/3

substituting x = -2, y = -1

k = y/x

k = -1/-2 = 1/2

substituting x = -1, y = 2

k = y/x

k = 2/-1 = -2

substituting x = 0, y = 5

k = y/x

k = 5/0 = ∞

substituting x = 1, y = 8

k = y/x

k = 8/1

k = 8

substituting x = 2, y = 11

k = y/x

k = 11/2

substituting x = 3, y = 14

k = y/x

k = 14/3

It is clearly visible that there is no constant of variation because the ratio y = k/x is variating for different ordered pairs.

Thus, It is clear that none of the answers in the answer choices represent the constant of variation in this relation.

Solve for y.

7y - 14 = 35

Answers

Answer:

it's 7

Step-by-step explanation:

this needs to be 20 characters long

Answer:

switch the -14 to positive and the add 35+14 and then divide the number you get by 7

Step-by-step explanation:

y=7

What is the area of the trapezoid?
6 feet
8 feet
10 feet

1. 80 ft 2
2. 60 ft 2
3. 24 ft 2
4. 64 ft 2

Answers

2: it’s number 2 60 ft and 2

Quadratics Help!!! (Number 11)

Answers

Answer:

a) 2x + 1, 4x + 7

b) L = 19 cm, W = 7 cm, A = 133 cm^2

Step-by-step explanation:

8x^2 + 18x + 7

ax^2 + bx + c

ac = 8 * 7 = 56

56 = 4 * 14

8x^2 + 18x + 7 =

= 8x^2 + 14x + 4x + 7

= 2x(4x + 7) + 1(4x + 7)

= (2x + 1)(4x + 7)

a) 2x + 1, 4x + 7

b)

2(3) + 1 = 7

4(3) + 7 = 19

A = LW = 19(7) = 133

if 12 is to 3 as 61 is to​

Answers

Answer:

15.25

Step-by-step explanation:

Could i get brainliest :D

Answer:

HOPE IT HELPS

HAVE A NICE DAY

The length of a park is 12 kilometers. What is the length of the park in meters?

Answers

Answer:

12,000

Step-by-step explanation:

There are 1,000 meters in a kilometer. So, if you have 12 kilometers, that's 12,000 meters.

Answer:

12000

Step-by-step explanation:

One kilometer = 100 meters 12 times 1000 = 1200

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