18. Nine cartons of juice cost the same as 5 fruit cups. Also, one fruit cup costs 50¢ more than one bowl of soup, while one bowl of soup costs 50¢ more than one carton of juice. What would be the cost of each item: a carton of juice, a fruit cup, and a bowl of soup?​

Answers

Answer 1

Answer: bowl of soup=$1.75

carton of juice=$1.25

fruit cup=$2.25

Step-by-step explanation:

j=carton of juice. f=fruit cup. s=bowl of soup.

9j=5f

f=s+0.5 ==> 0.5 dollars is 50 cents

s=j+0.5

j=s-0.5

9(s-0.5)=5(s+0.5)

9s-4.5=5s+2.5

4s-4.5=2.5

4s=7

s=7/4

s=$1.75

s=j+0.5

1.75=j+0.5

j=$1.25

f=1.75+0.5

f=$2.25


Related Questions

ANSWER ASAP DUE AT 1 QUESTION 4!!! 15 POINTS

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B because if you divide each coordinate by each other you can see it goes up by 2 so b I think

a bag of fruit contains 5 apples, 3 pears, and 6 oranges. Toby randomly selects two pieces of fruit, one at a time and does not put them back. What is the probability that the first piece of fruit Toby selects will be an orange and the second piece of fruit will be an apple? need help asap

fyi its not 2

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the ratio of the orange to apple is 6:5 therefore the probability over is 6:5:3 what are the options?

ASAP!!!!!!!
On the current balance sheet at the end of the first year, a business has $50,000 in total assets and $18,000 in total
liabilities. Compute the business equity at the end of the first year.

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I think the answer is 32000
Why is that the Formula of equity is E= TA - TL

helppppppppp pleaseee​

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Answer: 1 10/39

Step-by-step explanation:

Gears A and B work together. Gear A turns 30 times when Gear B turns 45 times. When Gear B turns 12 times, how many times does Gear A turn?

HELP ME PLZ I BEG OF YOU!?!

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Answer:

8

Step-by-step explanation:

please help this is due at 11

Answers

me at 1:36pm: oh no,  i hope he got his answer

An amusement park collected $15,513 in revenue from ticket sales one day. They charge $30 for adults and $9 for children. If there were 865 people in attendance that day, how many were adults?

Answers

The number of adults that are there will be 368 adults.

Let adults = a

Let children = c

The equation to solve the question will be:

a + c = 865 ....... i

30a + 9c = 15513 ...... ii

From equation i, c = 865 - a

Since 30a + 9c = 15513

30a + 9(865 - a) = 15513

30a + 7785 - 9a = 15513

30a - 9a = 15513 - 7785

21a = 7728

a = 7728/21

a = 368

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3(x – 2) = 3x + 4 solve for X

Answers

Answer:

The answer is: Use a calculator.

Step-by-step explanation

With the calculator you are able to do ANY problem.

Answer: There is no solution.

Step-by-step explanation:

Simplify both sides of the equation

subtract 3x from both sides

add 6 to both sides

0=10

The answer is - there are no solutions

help pls!!!
A ball is launched upwards from a height of 4 feet. The ball’s height as a function of time, in seconds, is modeled by the function h(t)= -16t^2+80t+4. What is the time interval in which the ball has a height greater than 100 feet?

Answers

Answer:   2 < t < 3

This is between 2 and 3 seconds, excluding both endpoints.

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

Explanation:

t = elapsed time in seconds

h(t) = height of the ball at time t

Replace h(t) with 100. Then get everything to one side.

[tex]h(t)= -16t^2+80t+4\\\\100= -16t^2+80t+4\\\\0 = -16t^2+80t+4-100\\\\0= -16t^2+80t-96\\\\-16t^2+80t-96 = 0[/tex]

Next, we'll use the quadratic formula to isolate t.

Plug in a = -16, b = 80, c = -96 which are the coefficients of the last equation mentioned above.

[tex]t = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\t = \frac{-80\pm\sqrt{(80)^2-4(-16)(-96)}}{2(-16)}\\\\t = \frac{-80\pm\sqrt{256}}{-32}\\\\t = \frac{-80\pm16}{-32}\\\\t = \frac{-80+16}{-32} \ \text{ or } \ t = \frac{-80-16}{-32}\\\\t = \frac{-64}{-32} \ \text{ or } \ t = \frac{-96}{-32}\\\\t = 2 \ \text{ or } \ t = 3\\\\[/tex]

Therefore, the ball's height is greater than 100 ft in the air for the interval [tex]2 < t < 3[/tex]

This is between 2 and 3 seconds, excluding both endpoints.

------------------

Check:

Let's plug in t = 2 to find that...

[tex]h(t)= -16t^2+80t+4\\\\h(2)= -16(2)^2+80(2)+4\\\\h(2)= -16(4)+80(2)+4\\\\h(2)= -64+160+4\\\\h(2)= 100\\\\[/tex]

You should find that h(3) = 100 as well. I'll let you do those steps.

Since h(2) = 100 and h(3) = 100, this confirms the two solutions we found earlier.

Two dice are rolled; find the probability for total: a) 1, b) 4 or 6; c) <13

Answers

50%
.......................

`Solve this nonlinear inequality. Express the solution in interval notation and graph the solution set 5x^2+3x

Answers

The solution to the non-linear inequality 5x² + 3x < 0, in interval notation, is: (-0.6,0).

When a function is positive and when it is negative?

We have to look at the graph of the function relative to the x-axis, as follows:

A function is positive when it is above the x-axis.A function is negative when it is below the x-axis.

The inequality for this problem is:

5x² + 3x < 0.

Meaning that the two bullet points above are relevant as we want to find when the function is negative.

The graph of f(x) = 5x² + 3x is given at the end of the answer, and it is negative for:

(-0.6,0).

Which is the solution set for the inequality, and is painted on the graph.

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12) (7 + a)-(-7a+1)
Help??

Answers

83+19a thAt the anwser I think

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Answers

Answer:

i t s C i t h i n k s o i t h i n k t h i s wouod help u

It's c hope this helped

(4x-20) and (3x+14) they equal 155 what is X?​

Answers

Answer:

x = 23

Step-by-step explanation:

all you have to do is follow the rules of PEMDAS and treat it like a normal equation of order of operations;

y = 8x + 6, x = 5 plz help i can get admin if i solve this

Answers

Answer:

y = 46

Step-by-step explanation:

I'm assuming you wanted to solve for y.

x = 5

y = 8(5) + 6

y = 40 +6

y = 46

Find x
3x + 7 = -5

Pls help

Answers

Answer:

your answer should be

Step-by-step explanation:

x=2i or like i should say -2i

i hope its right tbh sometimes i make mistakes doing these

These questions are about calculus, I would greatly appreciate your help on both questions! .
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Answers

If the function f(x) =(4x² tan x)/sec x , then f'(x) =4( 2x sin(x) + x² cos x) using product rule of differentiation and f'(5) =103.11

What is product rule for differentiation?

Product rule for differentiation states that the differentiation the product of two functions is the product of derivative of first function and second function plus  product of derivative of second function and first function.

If we have consider the differentiation of product of two functions u ,v that we can write product rule as

(u*v)' = u' v  + u v' , where '  represents first derivative  with respect to independent variable

Given f(x) = (4x² tan x)/sec x or we can write it as :

f(x) = (4x² )(sin x) as   1/ sec x is cos x , tan x = sin x / cos x

let u =4x² , v = sin x

Then f(x) =u × v

Using product rule of differentiation:

f'(x) =  u' v + u v'  = (8x sin x) + (4x² cos x) = 4( 2x sin(x) + x² cos x)

To find value of f'(x) at x= 5

f'(5) = 4(10sin5 + 25 cos5) = 103.10569951 = 103.11(rounding off )

Therefore if f(x) = (4x² tan x)/sec x  then f'(x) =4( 2x sin(x) + x² cos x) and f'(5) =103.11

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xqdfhsisdlifjbosiuhodijxcn

Answers

Xqffhsisdlosnsnamdjallaksb

Step-by-step explanation:

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Answer:

Area of rectangle OABC = 18 units²

Step-by-step explanation:

From the graph attached,

Vertices of the rectangle are O(0, 0), C(3, 0) and A(0, 6).

Length of side AO = 6 units

Length of side OC = 3 units

Area of the rectangle = Length × Width

                                    = OC × AO

                                    = 3 × 6

                                    = 18 square units

Plssss help


Answer with one of these answers by looking at the photo PLSS try to get correct
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Neither
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Only (b)

Answers

Answer:

a

Step-by-step explanation:

because all top numbers can go into bottom numbers.

A is the correct answer

Consider the sequence 2,9,16,23,30 state the smallest prime number from this sequence.

Answers

Answer:

Step-by-step explanation:

The answer is 2 because 2 is a prime number

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Write the domain and range of fusing interval notation.
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(B) range=

Answers

The domain and the range of the function are given as follows:

a) Domain: -3 ≤ x < 4.

b) Range: -4 < y ≤ 5.

What are the domain and the range of a function?

The domain of a function is the set that contains all the values of the input.The range of a function is the set that contains all the values of the output.

In a graph:

The domain is given by the x-values, the horizontal axis.The range is given by the y-values, the vertical axis.

Hence, for the graphed function:

a) Domain: -3 ≤ x < 4.

b) Range: -4 < y ≤ 5.

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Javier had 305$ in his bank account his bank charges a fee 7.50$ each month that balance is below 500$ if he makes no that with draws how much money is in Javier bank account at the end of the 3 months

Answers

282.50$ because 7.50x3= 22.50. 305-22.50= 282.50$

Mrs. Peters purchased 120 flowers. The total cost was $55.20. After planting all of the flowers, Mrs. Peters decided she needed an additional 18 plants. About how much should she expect to pay total for the additional flowers.

Answers

Answer: 39.13 for 18 plants

Step-by-step explanation:

120/55.20= 2.17 dollars per plant

18*2.17=39.13

Help please! I’ll give brainliest!

Answers

Answer:

y= -2(-6) +5

y= 12+5

y= 17

y= -2(-3) +5

y= 6 +5

y= 11

y= -2(0) +5

y= 0+5

y=5

y= -2(3) +5

y= -6 +5

y= -1

The vertex of this parabola is at (-4,-1). When the y-value is 0, the xvalue is 2
What is the coefficient of the squared term in the parabola's equation?

Answers

The standard form for this parabola is x = a(y-k)^2 + h because this is a sideways-opening parabola. Our h and k values for the vertex are (-4, -1). And it goes through (2,0). We just need to solve for the a. Filling in accordingly, 2 = a(0+1)^2-4 so 2 = a - 4. a = 6. A above.

correct answer is 6!

Simplify this expression: -2(-4x + 2y - 6)

Answers

Answer:

8x - 4y + 12

Step-by-step explanation:

-2(-4x + 2y - 6)

(-2)(-4x) + (-2)(2y) + (-2)(-6)

(2 * 4x) - (2 * 2y) + (2 * 6)

8x - 4y + 12

If basketballs cost $18.00 each, how much will 3 basketballs cost in all?


Pls help meee

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umm

18.00 x 3 = 54

$54.00

Ellen decides to buy 25 hats. How much does she spend? Create a graph to show your work.

Answers

Answer:

how much do the hats cost

BIG POINTS please help me

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Answer:

I would C because it is in the middle of 20 and 40

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

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