A store is having a sale on trail mix and jelly beans. For 5 pounds of trail mix and 3 pounds of jelly beans, the total cost is $17. For 2 pounds of trail mix and 12 pounds of jelly beans, the total cost is $23. Find the cost for each pound of trail mix and each pound of jelly beans.

Answers

Answer 1

Answer:

Trail Mix costs $2.50 per pound, and Jelly Beans cost $1.50 per pound.

Step-by-step explanation:

Using x for trail mix and y for jelly beans, we have a system of equations being

[tex]\left \{ {{5x+3y=17} \atop {2x+12y=23}} \right.[/tex]

We can solve this system using substitution

5x+3y=17

Divide by 5 to have a coefficient of 1 before x

[tex]x+\frac{3}{5} y=\frac{17}{5}[/tex]

Subtract [tex]\frac{3}{5} y[/tex] from each side to single out one variable to one side

[tex]x=\frac{17}{5} -\frac{3}{5} y[/tex]

Now, we can plug in our value for x into the given equation

[tex]2(\frac{17}{5} -\frac{3}{5} y)+12y=23[/tex]

Open the parentheses

[tex]\frac{34}{5} -1\frac{1}{5} y+12y=23[/tex]

Merge Y values

[tex]6.8+10.8y=23[/tex]

Separate numerical values from variables

[tex]10.8y=16.2[/tex]

Divide by 10.8 in order to have a coefficient of 1

[tex]y=1.5[/tex]

Now that we have one of the values, we know that a pound of jelly beans costs $1.50. We can now plug in 1.5 for y into one of our equations to find x.

[tex]5x+3(1.5)=17[/tex]

Open parentheses

[tex]5x+4.5=17[/tex]

Single out the variable

[tex]5x=12.5[/tex]

Divide by 5 to have a coefficient of 1 before x

[tex]x=2.5[/tex]

[tex]y=1.5[/tex]


Related Questions

Subtract 95 800 by 28 766 ?
please please please help!!

Answers

Answer: 95,800 - 28,766 = 67,034

Step-by-step explanation: hope this helps :)

I think it’s 67,034

What is the equation of the line?

Y= 1/2x + 2

Y= 2x + 2

Y= 2x - 4

Y = 1/2x - 4

Answers

Answer:

y=1/2x+2

Step-by-step explanation:

Find the x-intercepts.
y =
2x2 + 5x + 2/
x2 - 4x + 3

Answers

Answer:

[tex]x=-\frac{1}{2}[/tex] and [tex]x=-2[/tex]

Step-by-step explanation:

[tex]f(x)=\frac{2x^2+5x+2}{x^2-4x+3}[/tex]

[tex]0=\frac{2x^2+5x+2}{x^2-4x+3}[/tex]

[tex]0=\frac{(2x+1)(x+2)}{(x-1)(x-3)}[/tex]

[tex]0=(2x+1)(x+2)[/tex]

[tex]2x+1=0[/tex] and [tex]x+2=0[/tex]

[tex]x=-\frac{1}{2}[/tex] and [tex]x=-2[/tex]

Help w exponential functions pls

Answers

Answer:

Step-by-step explanation:

"end behavior" means what the is graph doing if you keep going off the page.

The symbol "x approaches negative infinity" is going off the page to the left. Both graphs are going up, up, up as you look at the x's going off the page to the left. See image.The last point of the g(x) on the table, when it's on the graph, you can see that curve hit bottom and turned up. So g(x) is going up, up, up as you look at all the x's going to the right. However the original graph, the green graph f(x), well, it's kind of flat, but it IS going down, down, down as you go off the page to the right.

So the end behavior is the same as x approaches negative infinity and different as x approaches infinity.

What is correct answer For this problem
The table shows how the length of a fish changes over time.



Which equation represents the relationship between x, the time in years, and y, the length in centimeters?

Question options:

x = 4.5y

x = 9y

y = 4.5x

y = 9x

Answers

Answer:

C. y=4.5x

Step-by-step explanation:

divide y by x

let x represent the larger number4x+(x-2)^2=16

Answers

I have no clue I just need the points have a good day tho :)

-3, 9, -27, 81 find the next term

Answers

Answer: The next term is -243.

Answer:

-243

Step-by-step explanation:

The common ratio in this geometric sequence is -3. Therefore, the next term will be 81(-3) = -243.

f(x) = x2. What is g(x)?

Answers

Answer:

the answer is A. g(x) = -x^2 - 4

Step-by-step explanation:

hope this helps! :)

8. Lara invested a total of $1000 in two simple interest accounts. Account A pays
5% annual interest while Account B, pays 6% annual interest. The total interest
she earned after one year was $58. How much did she invest in each account?

Answers

Answer:

$200 at 5%$800 at 6%

Step-by-step explanation:

Let x represent the amount invested at the higher rate. Then 1000-x is the amount invested at the lower rate. The total earnings are ...

  0.05(1000-x) +0.06x = 58

  50 +0.01x = 58 . . . . . . . . . . . simplify

  0.01x = 8 . . . . . . . . . . . . . . . subtract 50

  x = 800 . . . . . . . . . . . . . . . multiply by 100; amount at 6%

  (1000-x) = 200 . . . . . . . find the amount invested at 5%

Lara invested $200 at 5% and $800 at 6%.

Math temperature question

Answers

Answer:

-10.9

Step-by-step explanation:

Add -20.4, -7.6, -15.8, -9.5, 4.2 and -16.3 to get -65.4.

Divide -65.4 by the count of the numbers. (6)

I think the answer is -10.9 if not I’m sorry good luck

HELP ME PLS
Ursula has fraction 1 over 2 cup of butter. She uses fraction 1 over 4 cup of butter to make a batch of brownies.

Part A: How many batches of brownies can Ursula make with fraction 1 over 2 cup of butter? (4 points)

Part B: On your own paper, draw a fraction model that shows the total number of batches of brownies that Ursula can make with fraction 1 over 2 cup of butter. Make sure to label the model. Below, explain your model in detail to describe how this model visually shows the solution for Part A. (6 points)

Answers

Answer:

i think its 1/2

Step-by-step explanation:

Answer:

A. 1/2

1 over 2 is equal to 1/2

B. 1/2 Batch

Pls help I’m failing I’ll brainlest and add extra points ASAP help with both

Answers

9) +1/6 if it’s not fractions tell me

Answer:

The slope of the one of the top is -1/4

The slope of the one on the bottom is 1/6

Step-by-step explanation:

The one on the top goes down by 1 (negative) and goes 4 to the right (positive), which can be written as -1/4, which is the slope.

The one on the bottom goes up by 1 (positive) and goes to the right by 6 (positive), which can be written as 1/6, which is is the slope.

mr karki divides a sum of Rs 180000 between his son and daughter in the ratio of 4:5 find the sum obtained by each of them​

Answers

Answer:

Step-by-step explanation:

Sorry no one answered your question sooner. First Let x = what the daughter receives

Then 180000 - x is what the son will receive. Notice that if you add these together you get the total, 180000. You write a proportion and cross multiply to solve. Since x = 80000, the son will receive 80000. The daughter will receive 100000.

The height of a house is 21 feet tall. A tree beside the house is 7 feet more than twice as tall as the house. What is the height of the tree?

Answers

Answer:

49 feet

Step-by-step explanation:

twice the size of the house is 42ft and seven feet more than 42 feet is 49 feet.

Help find the value X

Answers

Answer:

x=61

Step-by-step explanation:

2x-6+x+3=180

3x-3=180

3x=183

x= 61

Ok done. Thank to me :>

Find the value of x given that the area of the triangle is 8 ft2.
(x + 1) ft
(3x - 7) ft

Answers

Answer:

Step-by-step explanation:

Yu11 - Sheffield-ggGgggpossssss

Create your own example for each cases of multiplying
polynomials With complete solution


Case 1: Distributive Property
Case 2: FOIL Method
Case 3: Binomial to Polynomial


Pls needed badly


If you have nothing to answer dont answer

Answers

Foil method the binomial to polynomial

Hey, I just have one question, what is 8y −5 < 3?

Answers

Answer:

y < 1

Step-by-step explanation:

In order to solve this inequality, we must isolate the y variable.

First add 5 on both sides of the inequality sign:

Now you have 8y < 8.

Then divide by 8 on both sides, to get y alone:

Now you have y < 1.

Hope this helps you :)

The weights for newborn babies is approximately normally distributed with a mean of 5.5 pounds and a standard deviation of 1.6 pounds.


Consider a group of 800 newborn babies:


1. How many would you expect to weigh between 3 and 8 pounds?


2. How many would you expect to weigh less than 6 pounds?


3. How many would you expect to weigh more than 5 pounds?


4. How many would you expect to weigh between 5.5 and 9 pounds?

Please help and STEP BY STEP PLZ.

Answers

Compute each probability. The strategy is to transform X, a random variable representing the weight of newborns, to another random variable Z that represents the same but scaled quantity so that Z is normally distributed with mean 0 and s.d. 1. To do this, we use the rule

X = 5.5 + 1.6 Z

or

Z = (X - 5.5)/1.6

then use a calculator to compute the probability, or look it up in a table. Multiply this probability by 800 to find the number of newborns in each category.

1.

Pr[3 ≤ X ≤ 8] = Pr[(3 - 5.5)/1.6 ≤ (X - 5.5)/1.6 ≤ (8 - 5.5)/1.6]

… ≈ Pr[-1.5625 ≤ Z ≤ 1.5625]

… ≈ 0.8818

Out of 800 babies, you would expect around 88% of them, or about 705 babies to weight between 3 and 8 pounds.

2.

Pr[X < 6] = Pr[(X - 5.5)/1.6 ≤ (6 - 5.5)/1.6]

… = Pr[Z ≤ 0.3125]

… ≈ 0.6227

Out of 800 babies, around 498 will weigh less than 6 pounds.

3.

Pr[X > 5] = Pr[(X - 5.5)/1.6 > (5 - 5.5)/1.6]

… = Pr[Z > -0.3125]

… ≈ 0.6227

same as (2) due to the symmetry of the distribution (Z is centered at zero). Out of 800 babies, you can expect around 498 in this group.

4.

Pr[5.5 ≤ X ≤ 9] = Pr[(5.5 - 5.5)/1.6 ≤ (X - 5.5)/1.6 ≤ (9 - 5.5)/1.6]

… = Pr[0 ≤ Z ≤ 2.1875]

… ≈ 0.4857

Out of 800 babies, around 388 will weigh between 5.5 and 9 pounds.

what is a measurement for the angle pictured

Answers

73° hope this helps

Name:
Unit 4: Congruent Triangles
Date:
Per: :
Homework 1: Classifying Triangles
H
** This is a 2-page document!
Directions: Classify each triangle by its angles and sides.
1.
2.
73
15.6 m
73°
349
14,4 m
6 m
3.
7 in
123
4.
3 mm
10 in
15 in
3 mm
3 mm
5.
6.
34 m
34 m
2011
72
17
177
489
48 m
60
22 it
7.
8.
600
20
24 in
604
15 in
106
15 in
O
16.

Answers

Step-by-step explanation:

is it like this ? no diagrams ?

Match the expression to the method needed to evaluate (will give brainlest)​

Answers

Answer:

See image

Step-by-step explanation:

This is to help you practice exponent rules. The rules are short cuts, which are good bc they're faster but bad bc they take away the meaning of the work. If you're trying to remember a rule, think through the meaning. See image.

So, "multiply exponents" and "product of powers" are basic two equivalent phrases! I think the answers on the image should work, but jic if not switch those two.

The Add exponents rule and Subtract are 100% correct.

The expressions are matched to the method needed to evaluate as shown below.

What are Expressions?

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

The first expression is 5³ × 5³.

Multiplication rule of exponents states that,

xᵃ × xᵇ = xᵃ⁺ᵇ

That is we add the exponents.

So, 5³ × 5³ = 5³⁺³ = 5⁶

The next expression is (7²)³.

We have the rule, (xᵃ)ᵇ = xᵃᵇ

So, here, multiply the exponents.

(7²)³ = 7⁶

(4x³)⁵

We can write it as,

(4x³)⁵ = 4⁵ . (x³)⁵

That is write is as product of the powers.

Division rule of exponents states that,

xᵃ / xᵇ = xᵃ⁻ᵇ

6⁹ / 6⁵ = 6⁹⁻⁵ = 6⁴

So, subtract the exponents.

Hence the expressions are matched.

Learn more about Exponents here :

https://brainly.com/question/5497425

#SPJ2

which of the following points does not lie on the graph of y=1/2x+3?
A. (10,8)
B. (-2,2)
c. ( 0,3)
d. (-6,-3)

Answers

Answer:

B

Step-by-step explanation:

The point (5, -3) is a solution to which system?

A.
y = x - 8
2x + y = 7

B.
y = x + 5
y = x - 3

C.
y = x - 5
y = x + 3

D.
y = x - 8
-2x + y = 7

Answers

Answer:

A

Step-by-step explanation:

Did the test

Function 1 is defined by the equation y=-1/4r-5
Function 2

Answers

Step-by-step explanation:

as just answered in the other question, the y-intercept is simply the y-value, when x=0.

it is -5 for function 1.

and function 2 clearly crosses the y-axis at y = -7, which is the y-intercept.

as -5 is greater than -7, function 1 had the greater y- intercept.

Item 1 Ethan used 1 3 of a liter of milk to make 1 9 of a jug of tea. How much milk is required to fill the jug?

Answers

Answer:

3 liters

Step-by-step explanation:

3. The grade-point averages of 20 college seniors selected at random from a graduating class are as follows:
3.2, 1.9 ,2.7, 2.4, 2.8, 2.9, 3.8, 3.0, 2.5, 3.3, 1.8, 2.5, 3.7, 2.8, 2.0, 3.2, 2.3, 2.1, 2.5, 1.9 Calculate the standard deviation.

Answers

The standard deviation of the grade points average of the college seniors is 0.57.

The given parameters:

3.2, 1.9 ,2.7, 2.4, 2.8, 2.9, 3.8, 3.0, 2.5, 3.3, 1.8, 2.5, 3.7, 2.8, 2.0, 3.2, 2.3, 2.1, 2.5, 1.9

The sum of the given data is calculated as follows;

∑x = 3.2 + 1.9 + 2.7 +  2.4 + 2.8 + 2.9 + 3.8 + 3.0 +  2.5 + 3.3 + 1.8 + 2.5 + 3.7 + 2.8 + 2.0 + 3.2 + 2.3 + 2.1 + 2.5 + 1.9

∑x = 53.3

The mean of the distribution is calculated as follows;

[tex]\bar x = \frac{\Sigma x}{N} \\\\\bar x = \frac{53.3}{20} \\\\\bar x = 2.665[/tex]

The square of the difference between the grade point and the mean;

[tex]\Sigma (x - \bar x)^2 = (3.2- 2.665)^2 + (1.9-2.665)^2 + (2.7- 2.665)^2 + (2.4-2.665)^2 \\\\+(2.8-2.665)^2 +(2.9 - 2.665)^2 + (3.8 - 2.665)^2 + (3-2.665)^2+ \\\\(2.5 -2.665)^2 + (3.3 - 2.665)^2 + (1.8-2.665)^2 + (2.5 - 2.665)^2 + \\\\(3.7-2.665)^2 + (2.8 - 2.665)^2 + (2-2.665)^2 + (3.2-2.665)^2 + \\\\(2.3 - 2.665)^2 + (2.1-2.665)^2 + (2.5-2.665)^2 + (1.9 - 2.665)^2\\\\\Sigma (x - \bar x)^2 = 6.5055[/tex]

The standard deviation of the grade points is calculated as follows;

[tex]\sigma = \sqrt{\frac{\Sigma (x-\bar x)^2}{N} } \\\\\sigma = \sqrt{\frac{6.5055}{20} } \\\\\sigma = 0.57[/tex]

Thus, the standard deviation of the grade points average of the college seniors is 0.57.

Learn more about standard deviation here: https://brainly.com/question/12402189

For A = {B, C, D} and B = {A, E, I, O, U}, which set is empty?

Answers

Answer:

B is empty

Step-by-step explanation:

A club has members from three grades.
It has 36 members from sixth grade, 24 members from seventh grade, and 30 members from eighth grade.

What is the ratio of the club's seventh graders to eighth graders?

Answers

the ratio is 24:30

or the simplified version is 4:5

Simplify.
4x + 2(x + 5) + 1
A) 6x + 6
B) 4x + 8
C) 6x + 11
D) 5x + 8

Answers

Answer:

C is your answer for your question

Other Questions
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.Match the coordinates with the points on the coordinate plane.MNRLPSQ unit 5 relationships in triangles homework 1 triangle midsegments 6. David bought 3 DVDs for 4 books for $40 at a yard sale. Anna bought 1 DVD and 6 books for$18. How much did each DVD and book cost? which is correct????? Calculate the vapor pressure in torr of a solution containng 24.5 g of glycerin (C3H8O3) in 135 mL water at 30.0* C; the vapor pressure of water at this temperature is 31.8 torr. Assume that glycerin dissolves molecularly (does not dissociate). 1) compare all three states of matter to theright. Which square has the greatest densityand why? And why is it correct? solve for y3 (3y - 5) = 34Simplify as much as possible:)) thxx Find the odds for and the odds against the event rolling a fair die and getting a 2, a 3, or a 5. The total cost of renting a beachhouse is a function of the number ofdays the house is rented. Theowner of the beach house charges$375 per day up to a maximum of 7days plus a $100 cleaning fee. Whatis the greatest value in the range forthis situation? 4644 divided by 64 Which of these demonstrations is NOT recommended for a speech?the proper way to perform crunches, sit-ups, and other exercisesself-defense tactics that can keep people safea card trick that demonstrates sleight of handthe best way to handle a wild animal Help me with this problem please. Can u help me with these plss What is the difference between unmentionable and unforgivable? this is about environmental systems please help quick A cone has a height of 10 in. and a radius of 4 in. What is the slant height of the cone? A116 in. B96 in. C84 in. D104 in. Sponsored by Martin Luther and printed in the workshop of his close friend, Lucas Cranach the Elder, the work titled Abbildung des Papsttums, or Portrayal of the Papacy is: Alexander purchased a computer on sale the original price was 1200 the sale price was 5/6 of the original price how much did Alexander pay for the computer What is the answer to this problem:M33ry C7r1stma37if 33 is 16 points Write an essay disscuing your own moral or ethical code, where it comes from, and what it telss you. Discuss whether you think an ethical or moral code is necessary in a society, and/or for an individual within the society or you follow a code Is a code taught to you by society, or more your own creation