A small bag of trail mix contains 3 cups of dried fruit and 4 cups of almonds. A large bag contains $4 1/2 cups of dried fruit and 6 cups of almonds. Write and solve a system of linear equations to find the price of 1 cup of dried fruit and 1 cup of almonds. Let f represent the price of one cup of dried fruit and let a represent the price of one cup of almonds.What is the equation for the small bag and the large bag.

Answers

Answer 1

Answer:

Let's call:

f = price of 1 cup of dried fruit

a = price of 1 cup of almonds

In order to build the linear system, you need to consider that the total price of a bag is given by the sum of the price of cups times the number of cups in each bag, therefore:

Solve for a in first equation:

a = (6 - 3f) / 4

Then substitute in the second equation:

41/2 f + 6 · (6 - 3f) / 4 = 9

41/2 f + 9 - 9/2 f = 9

16 f = 0

f = 0

Now, substitute this value in the formula found for a:

a = (6 - 3·0) / 4

  = 3/2 = 1.5

Hence, the cups of dried fruit are free and 1 cup of almond costs 1.5$

Step-by-step explanation:


Related Questions

Jamie joined the marching band. To pay for a uniform, he borrowed $120 for 3 months with 6% interest per month. What was the total cost of Jamie’s uniform?

Answers

Answer:

$142.92

Step-by-step explanation:

120 * 1.06^3 = 142.92192

For health reasons, Amir wants to drink eight
glasses of water a day. He's already had six
glasses. What fraction of eight glasses does
Amir have left to drink?
A. 1/8
B.1/6
C. 1/4
D.1/3

Answers

Answer is C, 1/4 left to drink. 6/8 reduces to 3/4, so 3/4 + 1/4 = 1 whole, or 8/8

Four interior angles of a pentagon measure 88°, 118°, 132°, and 100°. What is the measure of the fifth interior angle? 82° 92° 102° 112°.

Answers

The measure of the fifth interior angle is 102 degrees.

A polygon is an object with five sides. It is made up of five straight edges and 5 interior angles. The sum of interior angles is 540 degrees.

In order to determine the fifth interior angle, the sum of the four interior angles would be subtracted from  sum of interior angles in a polygon.

Fifth interior angle = 540 - (88 + 132 + 100 + 118)

= 540 - 438

= 102 degrees

Please find attached an image of a pentagon. A similar question was answered here: https://brainly.com/question/2906515

At a local college there are five women enrolled for every two men. (A) If there are 5,000 men enrolled how many women are enrolled? (B) What is the constant of proportionally in this situation?

Answers

Answer:

A: 25,000 Woman Enrolled. B: For Every 5 woman Enrolled 2 men are Enrolled also so the constant rate is 5 x 2

Step-by-step explanation:

Can someone please give me the (Answers) to this? ... please ...

Answers

Answer:

6:A

7;B

8;c

9;A

10:c

11;b

12:A

Answer:

6. Commander David Scott

7. They dropped at the same speed

8. Scale (I think)

9. B

10. True

11. Gravity (not sure)

12. C

17. Weaker

18. Ellipsoid (also not sure)

19. Towards the Earth’s center

20. I don’t know this

21. Center

22. B

Step-by-step explanation:

Not sure about some of them (like 19 because it feels like it can have more than one answer) but yeah the others are self-explanatory

what is pls help someone with the problem?2x + 3 = 9

Answers

Answer:

3

Step-by-step explanation:

2x+3=9

2x=9-3

2x=6

2    2

x=3

Answer: x = 3

Step-by-step explanation: 2x+ 3= 9

                                             2x +3 -3 = 9 - 3

                                             2x = 6

                                             2x/2 = 6/2

                                             x = 3

need help gotta turn in at midnight​

Answers

Answer:

c.

Step-by-step explanation:

If its isoceles, then LM is equal to LN. This means 3x-2 = 2x+1. 3x minus 2x is x. 2 plus 1 is 3. So x = 3. So it needs to be c or d. since LM and LN are the same answers, go to MN and find the answer. If you siubstitute 3 for x in 5x-2, then you get 13.

i have questions up will mark brainliest

Answers

Answer:

what questions?

Step-by-step explanation:

What is 100 plus 300??????

Answers

Answer:

The answer is 400

Step-by-step explanation:

...........

Answer:

the answer is 400 darlin

Step-by-step explanation:

Set up a proportion and solve for x.
1) If I can make up one test in 30 minutes, how long will it take me to make 11 tests?
Can you please help this is due tomorrow and it’s almost Christmas break:((

Answers

30x11 is 330.

300mins

Sorry i'm a little tired, if you want ask me how i got it and show my work in the comments. Thanks u

Please answer 1 and 2
Will mark brainliest!!!!

Answers

Answer:

parallelnot perpendicular

Step-by-step explanation:

1) It appears that coordinates of points on line P are (-6, 6) and (-2, 8). The slope formula tells us the slope of line P is ...

  m = (y2 -y1)/(x2 -x1) = (8 -6)/(-2 -(-6)) = 2/4 = 1/2

Coordinates on line O appear to be (0, 6) and (4, 8). Its slope is ...

  m = (8 -6)/(4 -0) = 2/4 = 1/2

The slopes of lines P and O are the same, so the lines are parallel.

__

2) It appears that points on line M are (0, 6) and (2, 2). Its slope is ...

  m = (2 -6)/(2 -0) = -4/2 = -2

Points on line K appear to be (0, 4) and (10, 10). Its slope is ...

  m = (10 -4)/(10 -0) = 6/10 = 3/5

If lines M and K were perpendicular, the product of their slopes would be -1. Here, it is (-2)(3/5) = -6/5 ≠ -1. Lines M and K are not perpendicular.

Which problem will have the greater quotient, 376.0 divided by 93 OR 376 divided by 93.01?

Answers

Answer: The first option.

Explanation: 376/93 = 4 4/94, while 376/93.01 = 4.04257606709....., which is less than 4 4/94, therefore the first option has the greatest quotient.

please help 25 points​

Answers

Answer:

jijijija

Step-by-step explanation:

Answer:

  s = -52

Step-by-step explanation:

We assume you want to find the value of s.

  [tex]\dfrac{12+s}{-20}=2\\\\12+s=-40\qquad\text{multiply by -20}\\\\\boxed{s=-52}\qquad\text{subtract 12}[/tex]

Can someone please tell me the answer
(20 points)

Answers

Answer:

the aswer is B

Step-by-step explanation:

DOM
The weight of a car is modeled with the polynomial 3x2 – 25x + 204. The weight of a truck is modeled with the polynomial x² + 17x + 40
What polynomial represents the total weight of the car and truck?

Answers

Answer:

4x^2-8x+244

Step-by-step explanation:

Arianna and Aryanna went out to lunch over the weekend. They decided to eat at the cheesecake factory in ridge hill. their bill came out to 40$. if they wanted to leave a 20% tip for there waitress how much will the tip be

Answers

Answer:

Step-by-step explanation:

First we need to find 20% of their bill-$40.

So we write a proportion with fractions.

20/100 = x/40

Then we cross multiply. So 40 and 20 will get multiplied, and 100 and x will get multiplied. We will get this:

800 = 100x

Divide both sides by 100 to solve this.

Then we will get:

$8 = x  or  x = $8

Now that we know 20% of the bill this will also represent the tip. Our tip is $8.

Please help me Find the slope please no links or bots please and thank you please actually help me please

Answers

I got C

To find slope, you have to use Rise over run
For this example, you would go down One and Run 2 so it’s -1/2

Byron wants to sell the shells and makr a profit of 125%. What is 125% written as a fraction in lowest terms

Answers

Answer:

5/4

Step-by-step explanation:

125/100

(divide through by 25)

5/4

Pls answer only 16 and 19

Answers

Question 16:

[tex]\alpha[/tex] and [tex]\beta[/tex] are the roots of the equation.

That means [tex](x-\alpha )(x-\beta ) = 2x^{2} -6x+5 = 0\\[/tex]

[tex](x-\alpha )(x-\beta ) = 2x^{2} -6x+5 = 0[/tex]

          [tex]2x^{2} -6x+5 = 0\\x^{2} -3x+\frac{5}{2} =0[/tex]

          [tex](x-\alpha )(x-\beta ) =x^{2} - (\alpha +\beta )x +\alpha \beta[/tex]

So,

[tex]x^{2} - (\alpha +\beta )x +\alpha \beta = x^{2} -3x+\frac{5}{2}[/tex]

Compare coefficient

[tex]\alpha +\beta = 3\\\alpha \beta = \frac{5}{2}[/tex]

Consider [tex]\frac{\beta }{\alpha } + \frac{\alpha }{\beta }[/tex]

[tex]\frac{\beta }{\alpha } + \frac{\alpha }{\beta } =\frac{ \alpha ^{2} +\beta ^{2}}{\alpha \beta }[/tex]

[tex]= \frac{(\alpha +\beta )^{2} -2\alpha \beta }{\alpha \beta } \\= \frac{3^{2} -2*\frac{5}{2} }{\frac{5}{2} } \\= 4*\frac{2}{5} \\=\frac{8}{5}[/tex]

Ans: 8/5

Question 19:

[tex]f(x+2) = 2x^{2} +5x-3\\[/tex]

Substitute x with -1

So,

[tex]f(1) = 2(-1)^{2} +5(-1)-3\\=2-5-3\\=-6[/tex]

Ans: -6

Pointing to a photograph, a man said, "I have no brother, and that man's father is my father's son." Whose photograph was it?

Answers

The man’s son. Since the man has no brothers and the father of the man in the photograph is the man’s father’s son, the father of the man in the photograph must be the man. That means that the man in the photograph is the man’s son.

a building 270 feet tall casts a 40 foot long shadow. if a person looks down from the top of the building, what is the measure of the angle between the upper end of the shadow and the vertical side of the building to the nearest degree? (assume the person's eyes are level with the top of the building)
A. 81°
B. 8°
C. 9°
D. 82°​

Answers

Answer:

A.

Step-by-step explanation:

Use tangent ratio

Answer:

A.

Step-by-step explanation:

Use tangent ratio

The yellow submarine was at sea level when the passengers boarded. The journey began with a descent of 40 meters. After examining the sea life, they rose 30 meters. Zach thought he saw an octopus, below. They dove again, a distance of 25 meters to watch the eight ‘legged’ sea creature.
a) Write an expression to describe the journey of the yellow submarine. _________________________________

b) At what depth did they stop to look at the octopus? ______________________

Answers

Answer:

20 meters

Step-by-step explanation:

..................

Find 110% of 80 by writing the percent as a fraction

Answers

Answer:

[tex]\frac{80}{100}[/tex] i think its 80 or 88

Step-by-step explanation:

so sorry if this is wrong

Answer:

88

Step-by-step explanation:

x / 80 = 110 / 100

Cross multiply

80 * 110 = 100x

8800 = 100x

Divide both sides by 100

88 = x

Students in Mrs. Doyle's classes use 3/4 of a bottle of hand sanitizer every week. Which expression can be used to find how many bottles of hand sanitizer the students will use in 12 weeks?

12 x 3/4
12 + 3/4
12 - 3/4
12 divided by 3/4

Answers

Answer:

A. 12 x 3/4

Step-by-step explanation:

Answer:

12 x 3/4

Step-by-step explanation:

Every one week, there is 3/4 used, which is basic multiplication

My Science teacher is named Mrs. Doyle, lol

1.(01.01)
Evaluate -6 - (-1). (1 point)
5
-5
6

Answers

Answer:

I don't understand the question. Write it again & briefly.

During a sale, a store offered a 30% discount on a bed that originally sold for $580 After the sale, the discounted price of the bed was marked up by 30%. What was the price of the bed after the markup ? Round to the nearest cent .

Answers

The price of the bed after the markup is $527.80.

The given parameters:

Discount = 30%Price of the bed, = $580Markup = 30%

The price of the bed after the discount of 30% is calculated as follows;

P = $580 - 0.3($580)

P = $406

The price of the bed after the markup is calculated as follows;

P = $406 + 0.3(406)

P = $527.8

Thus, the price of the bed after the markup is $527.80.

Learn more about discount price here: https://brainly.com/question/23865811

how do you evaluate?

Answers

We evaluate an algebraic expression by the determination of an unknown variable.

Evaluation is a systematic method used in solving most algebraic expressions in mathematics.

Let assume that we have a given algebraic expression where y is expressed in terms of x and;

y = 2x + 5    where (x = 4)

Here, y and x are the variables;

y = 2(4) + 5

y = 8 + 5

y = 13

Learn more about how to evaluate algebraic expressions here:

https://brainly.com/question/4344214

find the sides marked with letters

Also explain how to solve it ​

Answers

Answer:

m = 10

Step-by-step explanation:

The triangles are similar. The scale factor is 15/9.

We multiply 6 by the scale factor and get m:

m = 6 * 15/9 = 10

Then we see that m (10) is also the lenght of a side in the smaller triangle, so we multiply 10 by 15/9 and find a.

a = 16,6 (circa)

Please help me with the following question:

Answers

Answer:

the answer to this problem is D: 180 + w-z

if it takes 10 people working at the same rate 5 hours to pick 300 apples, how many hours would it take 1 person to pick 300 apples

Answers

Answer:

50 hours

Step-by-step explanation:

10 times 5 is 50 so the answer is 50 hours

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