You sell lemonade for $2 per cup and orange juice for $3 per cup. You sell a total of 100 cups for $ 240. How many cups of lemonade and orange juice were sold ?

Answers

Answer 1
240/2 = 120 cups of lemonade
240/3 = 80 cups of orange juice
Answer 2
Lemonade:
From the given information,you can write an linear equation like this:
$2x + $3(100 - x) = 240
First, you have to distribute them = 2x + 300 - 3x 
Then, you have to add like terms = 1x + 300=240
Next, you have to transpose 300 to the left = -1x = 300 - 240
So, you have to subtract = -1x = -60
And, you solve = -60 = -60 So x = 60
60 cups of lemonade sold

Orange:
100 - x = 100 - 60 = 40 cups of orange juice sold
So you can check our answer by using the original linear equation
2x + 3( 100 - x) = 240 2(60) + 3 (100 - 60) = 240 120 + 3(40) = 240 120 + 120 = 240 240 = 240

Hope this helps! ;)

Related Questions

What is the measure of ∠DEG?
A) 133°
B) 103°
C) 77°
D) 67°

Answers

Hmmmmmm
Let me think for a second

Hello!

To do this you have to find one of the missing angles.

Three angles of a triangle equal 180 so

180-47-30=103

A stright line has a degree of 180

180-103 = 77 which is the answer

Candy is at the balloon shop and sees that 10 balloons cost 0.15 he needs 50 balloons to decorate his room how much will 50 balloons cost?

Answers

50/10 = 5
5 * 0.15 = 0.75 
it will cost 75 cents
.75 I believe , .15x5=.75.










A chess team has 26 members. However, only 16 members attended the last meeting: half of the girls attended but all of the boys attended. How many boys are on the chess team?

Answers

Answer:

6 boys

Step-by-step explanation:

if all the boys(x) were at the meeting but only half the (y), you would have two equations : x+y=26 and x+y/2 = 16. Solving the system gives you 6 boys 20 girls.

Alyssa works as a sales representative in an electronics store. She earns a fixed daily wage plus a commission on the sales she makes. The table shows her earnings based on the amount of sales she makes in a day.

Total Sales ($) Daily Earnings ($)
0 80
200 110
500 155
800 200
1,200 260

The equation that gives Alyssa's daily earnings based on her total sales is_____ .

When this data is plotted on a graph with a line connecting all the points, the y-intercept of the line represents _______ and the slope of the equation represents .

In this scenario, the y-intercept is________ .

fill in the blanks
here are the answer choices for the 1st one y=1.5x+80
y=0.

Answers

a) The slope of the line relating Alyssa's sales to earnings is given by 
   slope = (change in earnings)/(change in sales)
Using the first two table entries, the slope is calculated as
   slope = (110 -80)/(200 -10) = 30/200 = 0.15

The first entry in the table shows the y-intercept, the value of earnings (80) for zero sales. The slope-intercept form of the equation for a line is
   y = slope*x + y-intercept

To answer the first question, we put the slope and intercept values in the appropriate spots in the equation.

The equation that gives Alyssa's daily earnings based on her total sales is
   y = 0.15x +80

b) The y-intercept of the line represents the part of Alyssa's earnings that doesn't depend on sales. It is Alyssa's fixed daily wage.

c) The slope of the equation represents Alyssa's commission rate.

d) The y-intercept is 80.

Answer: the same as the other person is righti

Step-by-step explanation:

Emma created the poster shown below: A rectangle is shown. The length of the rectangle is labeled as length equal to 36 cm, and the width is labeled as width equal to 24 cm. What would be the dimensions of the poster at fraction 1 over 4 times its current size? Length = 32 cm, width = 20 cm Length = 40 cm, width = 28 cm Length = 144 cm, width = 96 cm Length = 9 cm, width = 6 cm

Answers

the answer is D. Length = 9, width = 6cm

Answer:

Length = 9 cm, width = 6 cm

Step-by-step explanation:

If the length of the rectangle is labeled as length equal to 36 cm, and the width is labeled as width equal to 24 cm.

Length = 36cm

Width = 24cm

One fourth the current size of the rectangle will be;

New length= 1/4×36 = 9cm

New width = 1/4 × 24 = 6cm

The new dimension of the poster is therefore 9cm×6cm

Length = 9cm

Width = 6cm

What should be added to 3 to make the sum of 0?

Answers

Well if you have three and add negative 3 it equals 0

3+-3=0
Hope this helps

Two similar parallelograms have areas of 18 in2 and 32 in2. Find the ratio of their perimeters.

Answers

To find the ratio of their perimeters, you need to know that the ratio of a perimeter is the square root of the ratio of the areas. (Area is 2 dimensional, so what you do to the perimeter will have twice or be squared for the area).

So, you would simplify the ratio of 18/32 to 9/16.

Then take the square root of 9 and 16 separately to find the ratio of the perimeters.

Square root of 9 is 3.
Square root of 16 is 4

So, the ratio of the perimeters is 3 in/4 in.

What is the Median Q1 ,Q3 and IQR of 80,90,95,85,70

Answers

median=85 since it is the middle data point
Q1= 80 because it is the middle of the left side of the median
Q3=90 since it is the middle of the right side of the median
IQR= Q3-Q1=90-80=10

Answer:

17.5

Step-by-step explanation:

70, 80, 85, 90, 95

Median: 85

Lower quartile: 75

Upper quartile: 92.5

Interquartile range: 92.5 - 75 = 17.5

Mark and Jill each have a $6500 loan with a loan term of 4 years. The interest rate on Mark’s loan is 3% and the interest rate on Jill’s loan is 4%. Mark’s monthly payment is $144 and Jill’s monthly payment is $147. How much more in interest will Jill pay than Mark?
A.
$144


B.
$412


C.
$556


D.
$968

Answers

b:$412 will be your answer

Just #10 please!! Due soon too!!

Answers

A triangle would always equal 180 degrees,”.
Answer: 378 square feet

=========================================================

Explanation:

The goal is to find the area of the overall trapezoid (trapezoid MNRS)

To do this, we need three things:
A) The bottom horizontal length NR
B) The top horizontal length MS
C) The height of the trapezoid; the vertical distance from the bottom horizontal piece to the vertical horizontal piece

We don't know (A) but we know (B). The length of MS is 18 ft
We don't know (C), but we can find it fairly easily

Area of triangle TPQ = 84
84 = (base)*(height)/2
84 = 12*h/2
84*2 = 12*h
168 = 12*h
12h = 168
h = 168/12
h = 14

The height of triangle TPQ is 14 feet
The height of trapezoid MNRS is 14 feet

The hardest part will be figuring out the length of NR

We're told that NP, PQ and QR are in a ratio of 2:1.5:1
this means 
NP = 2*k
PQ = 1.5*k
QR = 1*k
where k is some positive number

From the diagram we see that PQ is 12 ft, so
PQ = 1.5k
1.5k = 12
k = 12/1.5
k = 8
leading to...
NP = 2*k = 2*8 = 16
PQ = 1.5*k = 1.5*8 = 12
QR = 1*k = 1*8 = 8

So,
NR = NP+PQ+QR
NR = 16+12+8
NR = 36

We finally have enough to find the area of the trapezoid
area of trapezoid = (height)*(base1+base2)/2
area of trapezoid = (14)*(18+36)/2
area of trapezoid = (14)*(54)/2
area of trapezoid = 756/2
area of trapezoid = 378 square feet


(4x)^-2 (4x)^3(4x)^9= (4x)

Answers

The base is 4x.
4x is raised to -2, to 3, and to 9.
When you multiply expressions with the same base, keep the same base, and add the exponents.

-2 + 3 + 9 = 10

Answer: (4x)^10

The answer is 4x to the 10th power

a car is travelling at x kilometres per hour find the cars speed, in terms of x in metres per second give your answer in its simplest form

Answers

Final answer:

To convert a car's speed from kilometers per hour (x km/h) to meters per second, divide x by 3.6. This is because there are 1,000 meters in a kilometer and 3,600 seconds in an hour, leading to the simple formula: x / 3.6 m/s.

Explanation:

To find the car's speed in meters per second (m/s) when it is traveling at x kilometers per hour (km/h), we need to convert km/h to m/s. There are 1,000 meters in a kilometer and 3,600 seconds in an hour. So, to convert from km/h to m/s, we use the conversion factor 1 km = 1,000 m and 1 hour = 3,600 seconds.

The formula to convert x km/h to m/s is: x \(\times\) 1,000 m / 3,600 s. Simplifying this, we get:

x \(\times\) 1,000 / 3,600 = x / 3.6 m/s.

Therefore, if a car is traveling at x kilometers per hour, its speed in meters per second is x / 3.6 m/s in its simplest form.

a line's y-intercept is 0, and its slope is 6/5. what is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:
y = [tex] \frac{6}{5} x[/tex]

Explanation:
The equation of the line has a general formula:
y = mx + c
where:
m is the slope = 6/5
c is the y-intercept = 0

Substitute with the givens in the above formula to get the equation of the line as follows:
y = [tex] \frac{6}{5} x[/tex] + 0
y = [tex] \frac{6}{5} x[/tex]

Hope this helps :)
 the equation will be y = 6/5 x + 0. But you can remove the 0 because its not necessary. 

Jack is sharing 3 bananas with 3 Friends. Which expression represents the amount each one will get if they share them equally?

Answers

they will each get 1 banana can i get brainiest please i was first and i barley have any
To be clear, there are three bananas, not 3 per friend?

If so then each friend would get one banana. because 3/3=1

Is this what you are asking?

Solve – 4y – 3 + 3y = 8 – 2y – 15 interpret the results

Answers

-y-3=-2y-7
y-3=-7
y=-4
Y=-4
This is the answer to the equation

how to slove this more complex negative exponent problem?

Answers

When an expression or a number is raised to the negative exponent, you have to reciprocate the expression or the number.

In this problem, the expression is raised to the power of -2

Therefore, the expression would become like this after reciprocating:

1/ (3x^2) ^2

Simplifying the expression:

1/ 9x^4

A right rectangular prism has a length of 6 cm, a width of 8 cm, and a height of 4 cm. The dimensions of the prism are halved.


What is the volume of the reduced prism?


Enter your answer in the box.


_cm³

Answers

Hi there!

To find the volume of the reduced prism, we divide everything by 2 and then find the volume:

6/2=3
8/2=4
4/2=2

Now, we multiply:

3*4*2=24

So, the volume of the reduced prism is 24cm cubed. 

Hope this helps!

A rectangle has a perimeter of 24 feet‚ the width of the rectangle is 3ft. what is the length

Answers

Because a perimeter is 2l + 2w, the formula is this:
2l + 6 = 24
2l = 18
l = 9
So the length is 9

what is (x-5)(x-3)=10 as a quadratic equation

Answers

Use the FOIL method for (x - 5)(x-3)

FOIL = First, Outside, Inside, Last

x(x) = x²
x(-3) = -3x
-5(x) = -5x
-5(-3) = 15

x² - 3x - 5x + 15 = 0

simplify by combining like terms

x² - 3x - 5x + 15 = 0
x² - 8x + 15 = 0

x² - 8x + 15 = 0 is your answer

hope this helps

How would six billion, nine hundred thirty-six thousand, fourteen be written in standard form? A.693,614B.6,936,014C.6,000,936,014D.6,936,000,014

Answers

The answer is C.

6,000,936,014
Hi there!

The answer would be C. 

Hope this helps!

how do you find the ratio of 40:28

Answers

First reduce it.
10:7 In a sense that is about as far down as you can go
You could however make it 1 3/7 to 1

Is the sum of 3√2 and 4 √2 rational or irrational? Explain your answer.

Answers

The answer is irrational. Any irrational number doubled is still irrational.

Sum of 3√2 and 4√2 is an irrational number.

What are irrational numbers?

" Irrational numbers are those numbers which cannot be written in fraction or rational form."

According to the question,

Suppose 3√2 + 4√2 be a rational number.

which can be expressed in form of (p / q) form such that 'q' does not divides 'p'

   3√2 + 4√2 = (p / q)

⇒ 7√2 = ( p / q)

Squaring both the sides we get,

  49 × 2 = ( p² / q² )

⇒ 2 ×(49q²) =  p²  

⇒ p is an even number

⇒p = 2k , k≠0

Therefore,

2 × ( 49q²) = (2k)²

⇒2×(49q²) = 4k²

⇒q² = (2k² / 49)

Both p and q are even which implies 'q' divides 'p'.

It is contradictory to our supposition,

Therefore, 3√2 + 4√2  is an irrational number.

Learn more about irrational number here

https://brainly.com/question/17450097

#SPJ2

Find the unit rate.

625 revolutions in 223 seconds

The unit rate is ___
revolutions per second.

Answers

27.17 revolution per seconds

Step-by-step explanation:

One number is bigger than another by 406. If the bigger number is divided by the smaller one, you’ll get the quotient 3 and remainder 66. Find the numbers.

Answers

The larger number is 576, the smaller number is 170.

Let x = the larger number and y = the smaller number.

We know that the larger number is 406 larger than the smaller one; therefore
x = y + 406

We also know
[tex]\frac{x}{y}=3\frac{66}{y}[/tex]

Substituting for x we have:
[tex]\frac{y+406}{y}=3+\frac{66}{y}[/tex]

When we convert mixed numbers to improper fractions, we multiply the whole number by the denominator and add the numerator:
[tex]\frac{y+406}{y}=\frac{3y+66}{y}[/tex]

Since the denominators are the same, we can just set the numerators equal
y+406=3y+66

We cannot have a variable on both sides, so we will subtract y from both sides:
y+406-y=3y+66-y
406=2y+66

Subtract 66 from both sides:
406-66=2y+66-66
340=2y

Divide both sides by 2:
340/2 = 2y/2
170=y

The smaller number is 170.  Since the larger number is 406 larger, then it is 170+406=576.
Final answer:

To find the numbers, we can set up a system of equations and solve it using substitution.

Explanation:

To find the numbers, we can set up a system of equations based on the given information. Let's call the bigger number 'x' and the smaller number 'y'. We know that x is bigger than y by 406, so we can write the equation x = y + 406. We also know that when x is divided by y, the quotient is 3 and the remainder is 66. This can be expressed as the equation x = 3y + 66.

We can solve this system of equations by substitution. First, we substitute the expression for x from the first equation into the second equation:

3y + 66 = y + 406

Next, we can subtract y from both sides of the equation:

2y + 66 = 406

Then, we subtract 66 from both sides:

2y = 340

Finally, we divide both sides by 2 to solve for y:

y = 170

Now we can substitute the value of y back into the first equation to find x:

x = 170 + 406 = 576

Therefore, the numbers are 576 and 170.

Learn more about Solving Systems of Equations here:

https://brainly.com/question/29050831

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Find the value of x.
A) x = 60
B) x = 59
C) x = 121
D) x = 177

Answers

Since a triangle always equals 180 degrees, set all these variables equal to 180.
Lets try.
X+3+x+x= 180
Combine like terms
3x+3= 180
Subtract each side by 3
3x=177
Divide each side by 3
X= 59

If 14 over 3 equals x over y to the second power than 14 over x equals

Answers

we have that
(14/3)=(x/y²)-----------> 14*y²=3*x

then
(14/x)=(3/y²)

the answer is
3/y²

If L
is 30
units long and W
is 10
units long, how long is the diagonal to the nearest tenth?

Answers

Answer:

Step-by-step explanation:

Noah bought 1/2 pound of candy to share with his friends.They ate 3/8 pound of the candy.How much candy does Noah have left?

Answers

you need common denominators so change 1/2 to 4/8
then 4/8-3/8=
1/8 of a pound left 

Total pound of candy with Noah = [tex] \frac{1}{2} [/tex]

Total pound of candy eaten by his friends = [tex] \frac{3}{8} [/tex] of [tex] \frac{1}{2} [/tex]

= [tex] \frac{3}{8} \times \frac{1}{2} [/tex]

= [tex] \frac{3}{16} [/tex]

Pound of candy left with Noah = [tex] \frac{1}{2} - \frac{3}{16} [/tex]

= [tex] \frac{8-3}{16} [/tex]

= [tex] \frac{5}{16} [/tex] pound

Therefore, [tex] \frac{5}{16} [/tex] pound of candy is left with Noah.

I’m not sure if I’m doing this right :/

Answers

I'm very proud! You did this on point, you did an amazing job on this question above.

This is what I noticed.

You potted both (4,4) corectly, and also as (y= -3), this was also potted correctly. And from there, you made a intersecting line that would be passing from both. And also, you found the relationship between the following terms that were listed below.

Great work! And keep it up. Have an amazing day!
# 2 should be y=7/4x-3

slope = (y2-y1) / x2-x1 = 4- -3 / 4-0 = 7/4

 and for 3 when Y is -3 x is 0 not 1 and the rest of the chart is alo off, find points where the line crosses the x and Y

10 times as much as 0.5 is

Answers

Hello!

10 x 0.5 = 5
That is your answer.

Enjoy.
~Isabella
0.5 x 10 = 5 the answer is 5 
5 is 10 times greater than 0.5
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