Cory, Josh and Dan went shopping for Halloween treats. Cory bought 3 chocolate pumpkins, 4 masks and 8 candy witches. He spent $36.65. Josh bought 5 chocolate pumpkins,3 masks and 10 candy witches. He spent $37.50. Dan bought 4 chocolate pumpkins, 5 masks and 6 candy witches. He spent $43.45. Write a system of equations to represent this problem.

Answers

Answer 1

Answer:

[tex]\left\{\begin{matrix}3x+4y+8z=36.65\\ 5x+3y+10z=37.50\\ 4x+5y+6z=43.35\end{matrix}\right.[/tex]

Step-by-step explanation:

System of equations

Let's set the following variables:

x=Price of chocolate pumpkins

y=Price of masks

z=Price of candy witches

We'll establish the system of equations needed to know the prices of all the Halloween treats.

Cory bought 3 chocolate pumpkins, 4 masks, and 8 candy witches and he spent $36.65. This leads to the following equation:

[tex]3x+4y+8z=36.65\qquad\qquad [1][/tex]

Josh bought 5 chocolate pumpkins, 3 masks, and 10 candy witches and he spent $37.50. This leads to the following equation:

[tex]5x+3y+10z=37.50\qquad\qquad [2][/tex]

Dan bought 4 chocolate pumpkins, 5 masks, and 6 candy witches and he spent $43.45. This leads to the following equation:

[tex]4x+5y+6z=43.35\qquad\qquad [3][/tex]

Collecting the equations [1] [2] [3], we form the system of equations to represent this problem:

[tex]\left\{\begin{matrix}3x+4y+8z=36.65\\ 5x+3y+10z=37.50\\ 4x+5y+6z=43.35\end{matrix}\right.[/tex]


Related Questions

Chris ate a total of 100 peanuts in 4 days, each day eating 8 more peanuts than the day before. How many peanuts did he eat on the first day

Answers

Answer:

He ate 68 peanuts on his first day

Step-by-step explanation:

To find the answer, you can just multiply 4 times 8 which would give the total amounts of peanuts Chris ate in 4 days. And subtract 100-32 which would equal 68.

the difference between seven and a number is four. HELP ME!

Answers

Answer:

3.

Step-by-step explanation:

Difference means subtract. So your question is 7 - 4 and that is 3.

Answer:

3

Step-by-step explanation:

Let the number be x

7-x=4

-x=4-7

-x = -3

x=3

−184 is the product of 23 and p.

Answers

I believe the correct answer would be -203

Answer:

p= -8

Step-by-step explanation:

23 x p= -184

-184 divided by 23= -8

23 x -8= -184

Solve each equation for x.
8. d= f+ fx

Answers

Answer:

(d/f)-1=x

Step-by-step explanation:

d=f+fx

d-f=fx

(d-f)/f=x

(d/f)-1=x

It took a sports store 9 weeks to sell 90 soccer
balls. How many are sold per week?

Answers

Answer:

it would be 10 soccer balls

Step-by-step explanation:

10 every week if it was constant (because they could've sold more one week then less the next) but the genuine answer is 10 soccer balls :)

Help pls I need help

Answers

Answer:

3 3/7

Step-by-step explanation:

8/1 divided by 2 1/3 = 8/1 x 3/7

8/1 x 3/7 = 24/7

24/7 = 3 3/7

A tennis racket that normally sells for $80 now
sells for $64. In lowest terms, what fraction
represents the former price compared to the
current price?
A. 3/4
B. 4/5
C. 6/5
D. 5/4

Answers

A it went from 80 to 64 if you multiply 80 by 75% aka 3/5 you get 60 which is the closest answer

What is -2(x - 5)- 11 in simplest form?

Answers

It would be -2x-1 if u need steps comment

Answer:

-2x - 1

Step-by-step explanation:

-2(x-5)-11

We need to follow order of operations to simplify this expression. Order of operations is PEMDAS (Parentheses, exponents, multiplication, division, addition, subtraction)

-2(x-5)-11

-2x + 10 - 11

-2x - 1

the points on the table lie on a line FInd the slope of the line (x- (-2), 0, 2, 4) (y- 3,4,5,6)

Answers

Answer:

Slope= 1/2

Step-by-step explanation:

The slope of the given line is 0.5.

What is the slope of the line?

The slope of a line is defined as the angle of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

The points on the table lie on a line, as follows;

x: (-2), 0, 2, 4

y: 3,4,5,6

To determine the slope of a line, you can use the formula:

(change in y)/(change in x)

As per the points in the table,

the change in x is (4-(-2)) = 6, and the change in y is (6-3) = 3.

Slope =  (3)/(6)

Slope = 1/2

Apply the division operation, and we get

Slope = 0.5

Therefore, the slope of the line is 0.5.

Learn more about the Slope of the Line here:

brainly.com/question/14511992

#SPJ2

Simplify the algebraic expression 9xy_4xy

Answers

Answer:

13xy

Step-by-step explanation:

9xy+4xy=13xy

You only have one set of variables when there is two sets of variables then you can not add all variables together.

you cant do 13x + 5y because the answer wold stay 13x 5y

Look at image please help I’m struggling 4 more minutes for the test is over

Answers

up 3 over 4 (4/3) all u do is count point to point

5h=srt solve for t please help

Answers

Answer:

t=t

Step-by-step explanation:

we need h

Find the perimeter of the given figure.​

Answers

I think the answer is 24

do you guys know this by any chance

Answers

Answer:

[tex]10^{17}[/tex]

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10

10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

In a sequence of numbers, a3=0, a4=4, a5=8, a6=12, and a7=16. Based on this information, which equation can be used to find the nth term in the sequence, an?

an=4n−12
A sub n is equal to 4 n minus 12

an=−12n+4
A sub n is equal to negative 12 n plus 4

an=−4n+12
A sub n is equal to negative 4 n plus 12,

an=12n−4

Answers

Answer:

an=−4n+12

A sub n is equal to negative 4 n plus 12,

Step-by-step explanation:

Help please it's a simple question I think but answer it please ​

Answers

Answer:

D. 36

Step-by-step explanation:

because to find volume we should multiply all the side

Answer:

d.36in    

Step-by-step explanation:

I REALLY REALLY NEED HELP

Answers

Answer:

answer all?

Step-by-step explanation:

Answer:

1- SF: 2; X:7

2- SF:2.5; X:10.5

3- SF:1.5; X:7.5

4- SF:3; X:9.4

Step-by-step explanation:

2(x-5)=4(x+1)
Please solve for x

Answers

Answer:

-7

Step-by-step explanation:

-7-5=-12

-12×2=-24

-7+1=-6

-6×4=-24

-24=-24

Answer:

x = -7

Step-by-step explanation:

2(x - 5) = 4(x + 1)

Multiply the parenthesis by the outside numbers (simplify).

2x - 10 = 4x + 4

Combine like terms (add 20 to both sides, and subtract 2x).

0 = 2x + 14

Subtract 14 from both sides of the equation.

2x = - 14

Divide both sides of the equation by 2.

x = -7

Hope this helps, let me know if you have any questions :)

Just the picture, Geometry. Thanks.

Answers

There are three. 1,4,8
Option (a) Angle 1

Angle 1 is congruent to ∠5 as they are corresponding angles on a transversal .

Option (d) Angle 4

Angle 4 is congruent to ∠5 as they are alternate interior angles .

Triangle ABC is rotated to form triangle MNO. Which of these statements would prove that the two triangles are congruent?

Answers

Answer:A

Step-by-step explanation:

I need help with this question.

Answers

Answer:

its the 4th one

Step-by-step explanation:

x<-70

Simplify -16 -22+ 22) A. -16 B. 39 C. 16 D.38 Help me PLZZZZZZ ;(

Answers

Answer:

A

Step-by-step explanation:

-22+22=0

-16

Answer: A

-16 is the answer

Plz mark brainliest:)

HELP!!! What is 0.8% as a decimal and fraction?

Answers

Decimal: 0.8

Fraction: 4/5
8/10 is the answer your looking for

Please help me with the question! Please!!

Answers

Answer:

Slope is 3 and y-intercept is 2

Step-by-step explanation:

When you do slope formula, you get 3 and on the table it says (0, 2) which is the y-intercept

Solve for m: 2m + 5-3m = 7

Answers

Answer:

m=-2

Step-by-step explanation:

Answer: m = -2

Step-by-step explanation:

Simplify 2m + 5 - 3m  to -m+ 5

-m + 5 = 7

Regroup terms.

5 - m = 7

Subtract 5 from both sides.

-m = 7 - 5

Simplify 7 - 5 to 2

-m = 2

Multiply both sides by -1

m = -2

Can someone please help me I need help

Answers

Answer:

8 in

Step-by-step explanation:

Step 1: Define

A = 56

b = 7

A = bh

Step 2: Find h

h = A/b

h = 56/7

h = 8

Answer:

h= 8 inches

Step-by-step explanation:

A= bh;  b= 7 inches;    Area= 56 inches squared

56= 7h

56/7 = 7h/7

h= 8 inches

hope this helps!

On the coordinate plane shown below, points and have coordinates and , respectively. Design a strategy in which the Pythagorean theorem is used to calculate the straight line distance between points and on a coordinate plane. Use complete sentences to describe the strategy. Use the Pythagorean theorem to determine the distance between the two points on the coordinate plane. In your final answer, include all of your calculations. Use the distance formula and the coordinates of points and to prove that the Pythagorean theorem is an alternative method for calculating the distance between points on a coordinate plane. In your final answer, include all of your calculations.

Answers

Answer:

See explanation

Step-by-step explanation:

The question is incomplete because the image is missing. However, I have attached an image from Lumen learning to help you understand how to calculate the difference between two points on a straight line graph.

Given two points (x1,y1) and (x2,y2) on a straight line graph as shown in the image attached, a straight line drawn to join the two points gives the distance between the two points. This line drawn to join the points becomes the hypotenuse of a triangle ABC.

Given that;

(x2-x1) =a

(y2-y1)=b

distance =c

Recall that Pythagoras's theorem states that;

[tex]c= \sqrt{a^{2} + b^{2} }[/tex]

Then, according to Pythagoras's theorem;

c =√(x2-x1)2 + (y2-y1)2)

Simply put;

c=√(difference between abscissae)2 - (difference between ordinates)2

You can now substitute values and obtain a numerical result.



John already owes $13; but is still spending $9 every 4 days. Identify
the slope (m) for this scenario

Answers

Y=9(4)+13 (not for sure though)

Find the slope of the line that passes through the points (5,10) and (7,12).

Answers

Answer:

The slope of the line is 1. The equation of the line is 1x + 5.

Step-by-step explanation:

The process is simple. It is y2 - y1 over x2 - x1. Plug in the value of the coordinates to get 12 - 10 over 7 - 5. That leaves you with 2 over 2, which is 1. If you need the equation, it is 1x + 5. Plug in the value of the coordinates to check your work.

Which one of these shapes is not like the others?

Shape A
Shape B
Shape C

Answers

It is c because b is an enlarged version of a

Answer: C is more oval like than the others

Step-by-step explanation:

Other Questions
NO ONE IS HELPING ME PLEASE IM FINNA CRY I SWEAR I BEGGING YOU PLZ!!!! THIS IT DUE TODAY!!! NO COPY AND PASTEING PLEASE (50 POINTS)1.. What other inferences (conclusions) can you draw from the graph?2.Which species of livestock had the largest population in 1500? Which species had the largest population by the end of 1590?3.What conclusions can you draw about livestock growth? Why have confessions been all but eliminated as a routine investigative tool? The use of buffer strips can help reduce human impacts on waterways.True or False? PLS ANSWER THIS CORRECTLY AND GET 30 PTS AND BRAINLY What would you not find on an acceleration graph? *O pie chartO x axisO timeO velocity Select three ratios that are equivalent to 11:1.Choose 3 answers:1:1122:255:59:99 c Assign to maxSum the max of (numA, numB) PLUS the max of (numY, numZ). Use just one statement. Hint: Call FindMax() twice in an expression. Describe the term "human capital" who used the term and why? Bus A and Bus B leave the bus depot at 3 pm.Bus A takes 25 minutes to complete its route once and bus B takes 30 minutes to complete its route once.If both buses continue to repeat their route, at what time will they be back at the bus depot together?Assume the buses have no breaks in between routes.Give your answer as a 12-hour clock time. What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid? Help me out plz. Im struggling. Find the measure of an angle such that the sum of its supplement and four times itscomplement is 13 less than twice the angle.Show work I need help and answers plz someone help me Please help me. Im not having a great day but this would make me feel better :) 3. Explain how the world is more interconnected today than it was 100 years ago. Is thisinterconnectedness a good or a bad thing? 8. Which of these was the greatest challenge for the delegates at the Constitutional Convention?O A how to respond to the interests of foreign countriesO B. how to address the concerns of farmers and ranchersO C. how to balance the interests of large and small statesO D. how to get agreement between the eastern and western states angle 1 and angle 2 are supplementary. m angle1 = 3x - 4 and m angle2 = 8x - 14. Find the measure of each angle. Select the equation that most accurately depicts the word problem.Mary Lou has 2 more nickels than pennies, and she has 30 coins all together. Use x for the number of pennies.a. x + 2 = 30b. x + (x + 2) = 30c. 2(x + 2) = 30d. 2x + 30 = 5 What does it take to survive and thrive in highschool 212302:30:40Which of the following statements best characterizes the opportunities available to people worldwide during the past20 years?A. People of all races, genders, and ethnicities have experienced equal opportunities.B. People from some ethnic, racial, and gender groups have chosen to limit their ownopportunities.C. Many people have been barred from opportunities based on race, gender, or ethnicity.D Many people have been treated unfairly because of their ethnicity but not because ofgender or race.Please select the best answer from the choices provided.AOOB