1A. Nayeli wants to earn some extra money so she sells lemonade for $2 per cup and orange juice for $3 per cup. She sells a total of 100 cups and earns $240. Later she wants to find the number of cups of lemonade and the number of cups of orange juice she sold. Which system of equations below represents this situation?
1. 2x + 3y = 240 AND x + y = 100
2. 2x + 3y = 100 AND x + y = 240
3. x + 2y = 100 AND 3x + y = 240
4. 2x + 100 = 240.AND x = 3y


1B. In the context of the problem, what does your solution (x,y) mean? Fill in the blanks for the solution sentence below: Nayeli sold ____ cups of lemonade and ____ cups of orange juice. Write your answer in this form: 20, 40

Answers

Answer 1

Answer:

1. 2x + 3y = 240 AND x + y = 100

Nayeli sold 60 cups of lemonade and 40 cups of orange juice.

Step-by-step explanation:

Let

Number of cups of lemonade sold = x

Number of cups of orange juice sold = y

The system of equation could be represented by:

2x + 3y = 240 (1)

x + y = 100 (2)

from (2)

x = 100 - y

Substitute into (1)

2x + 3y = 240 (1)

2(100 - y) + 3y = 240

200 - 2y + 3y = 240

- 2y + 3y = 240 - 200

y = 40 cups

Substitute y = 40 into (2)

x + y = 100 (2)

x + 40 = 100

x = 100 - 40

x = 60 cups

Nayeli sold 60 cups of lemonade and 40 cups of orange juice.

(x, y) = (60, 40)


Related Questions

please help is it A, B , or C

Answers

Answer:

its a because 5 x 4 = 20, 5 x 6 = 30 and 5 x 9 = 45

Step-by-step explanation:

THE ANSWER IS A

hope it helps ;)

Sally needs to buy 13 250 mm of edging for her garden. The edging costs $11 per metre. Calculate the total
amount Selly will need to pay for the garden edging.

Answers

13250 mm is 13.25 m
13.25 * $11 = 145.75

The price of a watch was increased by 20% to £198
What was the price before the increase?

Answers

20/100*198 it is simple
198/1.2=165
Hope it helps

Trophies for Gunther's soccer team will cost $6.25 each, plus 15 cents for every word on the engraving. Which equation could be used to find the cost, c, of each trophy based on the number of words, w , on the engraving?

Answers

Answer:

Step-by-step explanation:

c = $6.25 + 0.15w

$6.25 represents the fixed cost. it is the cost that does not vary with the number of words

15 cents is the variable cost. it is the cost that varies with the number of words.

to write the equation convert 15 cents to dollars by dividing by 100.

if you know about functions pls help

Answers

Answer:

f(x) is exponential g(x) is quadratic

Step-by-step explanation:

c) the values of function g will exceed function f

Nora earns $17 for each hour of yard work. How many hours in all will it take Nora to earn
$34?

Answers

Answer = 2hrs
Explanation is 17(2) = 34

Write an equation of the line that has a slope of -8 y-intercept of 2

Answers

Answer:

y=-8x+2

Step-by-step explanation:

Evaluate the expression when x = 2 and y = 6, show all your work.

[tex]2x^{3} +3y-4[/tex]

Answers

The answer would be ~30~ because 2*2^3 = 2^4= 16 then 3*6=18 then 16+18-4=30

Hope this helps

Have a great day/night

Feel free to ask any questions

HELP PLSSS ASAP!!! HELP ASAP MATH! (BRAINLIST)

What is the measure, in degrees of an angle that represents 50/360 of a circle?

90º

50º

360º

310º

Answers

The measure, in degrees of an angle that represents 50/360 of a circle is 50 degrees.

What is a circle?

A circle is a locus of a point that moves in a plane such that its distance from a fixed point is always constant.

As we know that a circle has a total of 360 degrees all the way around the center.

So, the measure, in degrees of an angle that represents 50/360 of a circle will be =  50/360 * 360 degrees.

the measure, in degrees of an angle that represents 50/360 of a circle will be = 50 degrees.

Therefore, the measure, in degrees of an angle that represents 50/360 of a circle is 50 degrees.

To get more about circle visit:

https://brainly.com/question/24375372

The measure of the angle at the centre of the circle that represents 50/360 of a circle is 50°.

What is a circle?

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

A complete circle has a 360° angle at the center of it, since the angle we need to calculate is represented by 50/360, therefore, the measure of the angle can be written as,

[tex]\theta = \dfrac{50}{360}\times 360^o = 50^o[/tex]

thus, the measure of the angle at the centre of the circle that represents 50/360 of a circle is 50°.

Learn more about Circle:

https://brainly.com/question/11833983

a sphere has a volume of 905cm. what is the radius of the sphere rounded to the nearest whole number ?

Answers

Answer:

r = 6

Step-by-step explanation:

The value of radius of the sphere rounded to the nearest whole number is,

⇒ r = 6 cm

We have to given that,

Volume of a sphere = 905 cm

Since, We know that,

Volume of sphere = 4/3 (πr³)

Where, 'r' is radius of sphere.

Now, Substitute the given value, we get;

⇒ 905 = 4/3 (πr³)

⇒ 905 × 3 = 4 × 3.14 × r³

⇒ 2,715 = 12.56 × r³

⇒ r³ = 216.16

⇒ r = ∛216.16

⇒ r = 6 cm

Thus, The value of radius of the sphere rounded to the nearest whole number is,

⇒ r = 6 cm

To learn more about the volume visit:

brainly.com/question/24372707

#SPJ2

Simplify the expression -(6 - 4p)

Answers

Hey there!

The answer to your question is [tex]-6+4p[/tex]

Given:

[tex]-(6-4p)[/tex]

First, we distribute the negative sign to both terms ([tex]6[/tex] [tex]and[/tex] [tex]-4p[/tex]) This would make the [tex]6[/tex] negative and the [tex]-4p[/tex] positive, so we have:

[tex]-6[/tex] [tex]and[/tex] [tex]4p[/tex]

Add them together and we get:

[tex]-6+4p[/tex]

Have a nice day!

A library is having a book sale. Hardcover books sell at $5 and paperbacks are $3
each. If buys 12 books and spends exactly $54, how many of each type of book
did she buy?
Please helppppp

Answers

9•5=45 and 3•3=9 so 9+45=54 so 9 hardcovers are bought and 3 paper backs are bought.

Need some help with multiplying algebraic fractions

Answers

Answer:

a=10, b=5, c=2, d=12

Step-by-step explanation:

Multiply each variable together

5*2=10

8*3=24

10[tex]x^{3}[/tex][tex]y^{2}[/tex]/24x

the coefficients (numbers) can each be divided by 2

5[tex]x^{3} y^{2}[/tex]/12x

subtract the "x" exponents together

5[tex]x^{2} y^{2}[/tex]/12

The area of a square is 81 m2. What is an exponent to express this area? Please help!

Answers

Answer:

[tex]9^{2}[/tex]

Step-by-step explanation:

Hope that helps!

Sarah's heart beats 2,760 times during 20

minutes of rowing. While resting, Sarah records

her heart beating 11 times in 10 seconds.

What is the difference between Sarah's heart

rate when she is rowing versus resting?

Answers


Answer:

When Sarah is resting her heart rate is much lower.

Hope that helps :)

please help if youre good at math !!

Answers

I think c. Hope this helps
so i’m pretty sure it’s c

In fraction form EMoDetective

Answers

Answer:

what do u mean?

Step-by-step explanation:

Solve for the indicated side

please help!!
(4 questions)

Answers

Answer:

This isn't my area but I'll try,

1. anywhere from 35-40

2. x=8

3. 40

4. 14

I'm sorry if I'm wrong!

Answer: The answer for #1 is 42.

Step-by-step explanation:

I took the quiz.

An item cost dollars. If the price of the item increases by 11%, tue new price can be represented by the expression +.11 write a new expression

Answers

An item cost P dollars. If the price increases by 11%. The new price can be represented by the expression P+0.11P.

35+ points will give BRAINLIEST
Which function is equivalent to y=2(x+3)^2+5?

Answers

Answer:

2x²+12x+23

Step-by-step explanation:

Y=2(x²+6x+9)+5=2x²+12x+18+5

2x²+12x+23

Y = A system of equations. Y equals StartFraction 2 over 3 EndFraction x plus 3. X equals negative 2.X + 3 x = –2

Answers

Answer: The solution is the pair (-2, 5/3)

Step-by-step explanation:

The system of equations is:

y = (2/3)*x + 3

x = -2

When we have a system of equations, we usually start by isolating one of the variables in one of the equations and then replacing it in the other ones (in that way, we can "remove" variables, until we have only one and we can solve the problem)

In this case, we have already isolated the variable x in the second equation, then we can just replace it in the first one, to get:

y = (2/3)*(-2) + 3

y = -4/3 + 3 = -4/3 + 9/3 = (-4 + 9)/3 = 5/3

y = 5/3

Then the solution of this system is

x = -2

y = 5/3

Which also can be represented with the ordered pair (-2, 5/3)

will give 60 points and brainliest

Answers

I am not sure what you mean, but x=4

In order to find the value of x, we can write the following statements and reasons:

Triangle PQR:

1. Statement: PS = PS

Reason: Reflexive property of equality

2. Statement: angle PSQ is congruent to angle PSR

Reason: Given

3. Statement: SQ is equal to SR

Reason: Given:

4. Statement: Triangle PSQ is congruent to triangle PSR

Reason: Case SAS of congruency

5. Statement: PQ is congruent to PR, so PR = 8

Reason: Corresponding sides of congruent triangles

Quadrilateral VSTU:

1. Statement: VT = VT

Reason: Reflexive property of equality

2. Statement: angle SVT is congruent to angle UVT

Reason: Given

3. Statement: angle VST is congruent to angle VUT

Reason: Given

4. Statement: Triangle VST is congruent to triangle VUT

Reason: Case AAS of congruency

5. Statement: ST = TU

Reason: Corresponding sides of congruent triangles

So we have 5z = 2z + 3. Solving for z, we have z = 1, so ST = 5z = 5

What is the ratio of hexagons to rectangles?
Write your answer as two numbers separated by a colon (for example, 2:3).
Submit

Answers

Answer:

4:6

Step-by-step explanation:

um there is no picture to count from so i will created a random one which was 4:6

This a morning work and I don't get when they say "Area of a triangle" I'm still working on it, but Im just so confused. Can you help?

Answers

Answer:(b) 100^2in

Step-by-step explanation: Well 1st area means inside so they wanted you to find the inside,  and well the answer is 100 hope it helped :)

Tim has completed five math problems and 13 minutes if he continues at the same rate how long will it take him to finish 20 problems

Answers

Answer:

52 minutes

Step-by-step explanation:

it takes him 13 minutes to complete 5 so if he wants  to do 20 problems  do 20 divided by 5 (4) then do 13 times 4=52

Solve for x: 5x-4(х+3)=8

Answers

Answer:

x=20

Step-by-step explanation:

If you were to place $5000 in a savings account that pays 6% interest compounded continuously how much money will you have after 4 years?

Answers

Answer:

I think it would come out to be $6312.38

Answer:

The correct answer is $6,356.25.

Step-by-step explanation:

please help with this question please and will mark you brainliest so please help​

Answers

Answer:

1 and 1/24

Step-by-step explanation:

i did the math and this is what i got

if im wrong im sorry

How many miles can you go on 28 gallons

Answers

Answer:

depends on how many miles you can go on 1 mile.

Answer:

you can go around 840-1680

Step-by-step explanation:

1 gallon = 30-60 miles

28x30=840 miles

28x60=1680 miles

Your welcome

factor completely: ​

Answers

Answer:

[tex]{3 + \frac{1}{5} x} \: \times 3 - \frac{1}{5x} [/tex]

Step-by-step explanation:

by factorization;

27 - 1/125 x^3(3)^3 - (1/5x)^3( 3 + 1/5x ) ( 3 - 1/5x )

[ a^2 - b^2 = (a +b) × (a-b)

Answer:

Step-by-step explanation:

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