Three families bought food at the baseball game. The Smith family spent $16.50 on 3 hot dogs, 2 sodas, and 1 candy bar. The Patterson family spent $26 on 4 hot dogs, 4 sodas, and 2 candy bars. The Nguyen family spent $13.75 on 2 hot dogs, 1 soda, and 3 candy bars. Which of the following systems of equations could be used to determine the price of each item?

Answers

Answer 1

Answer:

Step-by-step explanation:

Let

Price of

Hotdogs = x

Sodas = y

Candy bar = z

Smith family

Hotdogs = 3

Sodas = 2

Candy bar = 1

Total cost = $16.50

3x + 2y + z = 16.50

Patterson family

Hotdogs = 4

Sodas = 4

Candy bar = 2

Total = $26

4x + 4y + 2z = 26

Nguyen family

Hotdogs = 2

Sodas = 1

Candy bar = 3

Total cost = $13.75

2x + y + 3z = 13.75

The equations

3x + 2y + z = 16.50 (1)

4x + 4y + 2z = 26 (2)

2x + y + 3z = 13.75 (3)

Multiply (1) by -2

-2(3x + 2y + z = 16.50)

-6x - 4y - 2z = -33

-6x - 4y - 2z = -33 (1a)

4x + 4y + 2z = 26 (2)

Add (1a) and (2)

-6x + 4x = -33 + 26

- 2x = -7

x = -7/-2

= 3.5

x = $3.5

Multiply (3) by -4

-4(2x + y + 3z = 13.75) (3)

-8x - 4y - 12z = -55 (3a)

Add (3a) and (2)

-8x - 4y - 12z = -55 (3a)

4x + 4y + 2z = 26 (2)

-8x + 4x -12z + 2z = -55 + 36

-4x - 10z = -29

Substitute the value of x into

-4x - 10z = -29

-4(3.5) - 10z = -29

-14 - 10z = -29

-10z = -29 + 14

-10z = - 15

z = -15 / - 10

= 1.5

z = $1.5

Substitute values of x and z into (1)

3x + 2y + z = 16.50

3(3.5) + 2y + 1.5 = 16.50

10.5 + 2y + 1.5 = 16.50

12 + 2y = 16.50

2y = 16.50 - 12

2y = 4.50

y = 4.50 / 2

y = $2.25


Related Questions

6x=2x+-16 Same as the others I tried and I failed. :(

Answers

Hi!

Stay positive :)

x= -4

Subtract 2x from both sides
6x−2x=−16

Combine 6x and −2x to get 4x.
4x=−16

Divide both sides by 4.
x= -16/4


Divide −16 by 4 to get −4.
x= -4

Hope this helps!

Have a lovely day (or night) :)

(-5)²×(-5)⁴
answer it please​

Answers

Answer:

15625

Step-by-step explanation:

(-5) ^ 2 * (-5) ^ 4

-5 to the second power is -25

-5 to the 4th power is -625

-25 * -625 = 15625

Just multiply 25 by 625 to get 15625 because negative * negative = positive

HOPE IT HELPED

— Зу + 5х = 26
- 2 - 5x = -16
y =

Answers

Answer:

y= -4

Step-by-step explanation:

-3y + 5x = 26

  0y -5x = -14  

____________

    -3y = 12

       y = -4

if x and y vary directly, and x=3/4 and y =15 which of following represents this situation?

a x=11.25y

b y=11.25x

c x=20y

d y=20x

Answers

Answer:

A

Step-by-step explanation:

Because your not studying

Answer:

D

Step-by-step explanation:

simple plug and chug.

Understand that variables are already defined, x=3/4, y=15 meaning that if we plug one of the variables into an equation, we should obtain the other variable's number.

y=20x will result in y=15 when x=3/4 and vice versa.

Simplify (1/2)^4.......................................................................

Answers

Answer:

[tex]-1/16[/tex]

Step-by-step explanation:

Answer:

1/16

Step-by-step explanation:

(1/2 × 1/2 × 1/2 × 1×2)

(1/4 × 1/4)

(1/16)

(28 POINTS) write the next three terms in the sequence.

Answers

Answer:

25, 34, 43

Step-by-step explanation:

its +9 per number

The total cost to take the ferry to Greene Island is a $12 fee for the car plus $3 for each passenger in the car. The graph shows this relationship.
50
45
40
35
Cost of Ferry 30
(s)
25
20
15
10
5
0
1
5
09
2
3
4
Number of Passengers
How will the graph change if the car fee is changed to $10?
A. The y-intercept will shift up.
B. The y-intercept will shift down.
OC. The slope of the line will increase.
D. The slope of the line will decrease.

Answers

Answer:

B. The y-intercept will shift down

Step-by-step explanation:

2 cm X 2.4 X ? = 10.08cm

Answers

Answer:

2 × 2.4 = 4.8

10.8÷ 4.8 = 2.1cm

DeShaun and Vu are brothers who like to make bets about the outcomes of different contests between them. Before the last bet, the ratio of the amount of Deshaun's money to the amount of Vu's money was 4:7. Vu lost the latest competition, and now the ratio of the amount of Vu's money is 8:3. If Vu had $280 before the last competition, how much does Vu have now that he lost the bet?

Answers

Answer: Vu have $60.

Step-by-step explanation:

Given: Before bet, the ratio of the amount of Deshaun's money to the amount of Vu's money was 4:7.

Let Deshaun's money =4x and Vu's money = 7x

If Vu had $280 before the last competition, then

7x = 280

⇒ x = 40   [Divide both sides by 7]

Deshaun's money = 4x = 4 x 40 = $160

After Vu lost bet, ratio becomes 8:3.

Let Deshaun's money = 8y and Vu's money = 3y

For Deshaun,  8x = 160 ⇒ y = 20  [divide both sides by 8]

Vu's money  = 3 (20)=$60

Hence, Vu have $60.

Answer:

hhhhhh

Step-by-step explanation:

hhhhh

Plz help!

The Gazelle football team made 5 plays in a row where they gained
3 yards on each play. Then they had 2 plays in a row where they lost 12 yards on each play. What is the total change in their position from where they started?

Answers

Answer:

5 times 3 equals 15 so they gained 15 yards. 12 times 2 equals 24. 24 minis 15 equals 9.

im confused someone help

Answers

The point that is (1,1) would turn into (-1,1) the point (4,1) would turn into (-4,1) and the point (4,3) would turn to (-4,3) so just paste to new points on the graph

A fraction bar labeled 1. Under the 1 are 2 boxes containing one-half. Under the 2 boxes are 4 boxes containing one-fourth. 2 one-fourths are circled.
A fraction bar labeled one-fourth. Under the one-fourth are 2 boxes containing one-half. Under the 2 boxes are 4 boxes containing 1. 2 boxes containing 1 are circled.
A fraction bar labeled 1. Under the 1 are 4 boxes containing one-fourth. Under the 4 boxes are 8 boxes containing one-half. One box containing one-half is circled.
A fraction bar labeled 1. Under the 1 are 4 boxes containing one-fourth. Under the 4 boxes are 2 boxes containing one-half. One box containing one-half is circled.

Answers

Answer:

i think option D

Step-by-step explanation:

Answer:the man above me

Step-by-step explanation:

I need the answer ASP ILL GIVE EXTRA POINTS

Answers

St. Louis standard deviation= 2.715560533
Chicago standard deviation= 2.715560533
So true

what fractions are equivalent to 3.375

Answers

Answer:

3/8 6/16 12/32 24/64 48/128 96/256

Step-by-step explanation:

1/8 is .125 so .375 is 3/8

Mark brainliest pls

The given decimal can be converted into fractions such as 3375/1000, 675/200, 135/40 and 67/20 respectively.

What is a Decimal number?

A decimal number is the representation of a number in whole and a part. The whole is represented by an integer while the part is equivalent to a number divided by the order of 10.

The decimal number is given as 3.375.

It can be written in the form of fraction as below,

3.375 = 3375/1000

Now, the other fractions can be obtained by dividing the numerators and denominators by the common factors as follows,

3375/1000 = 675/200 = 135/40 = 67/20


Hence, the fractions that are equivalent to the given decimal are 3375/1000, 675/200, 135/40 and 67/20 respectively.

To know more about decimal number click on,

brainly.com/question/4708407

#SPJ6          

6h + 20 is greater than for equal to 100 in a real world problem

Answers

Answer:

im sorry whats the question

Step-by-step explanation:

Answer:

Example:

John has 6 baskets that contain "h" amount of apples. His mom gives 20 more apples to him. The sum of John's dad's apples is 100. Write an inequality showing how many baksets of apples John needs in order to have more apples than his dad.

Any number divisible by 3 is divisible by 6.
A.) True
B.) False, counterexample of 12
C.) False, counterexample of 15

Answers

Answer:

C.) False, counterexample of 15

1) 15 is divisible by 3 but not by 6

we know that 15 = 3*5 or 15/3=5, So 15 IS DIVISIBLE BY 3

BUT 15/6=2.5 THIS PROVES 15 IS NOT PERFECTLY DIVISIBLE BY 6

2) 12= 3*4 & 6*2

SO 12 IS PERFECTLY DIVISIBLE BY 3 & 6 BUT 15 IS NOT. THUS THE ANSWER IS 'C'

Answer:

c. False, counterexample of 15

Step-by-step explanation:

This statement is entirely incorrect although it can work vice versa meaning all multiples of 6 will be divisible by 3

Find the point-slope equation for the line
that passes through the points (30, 2) and
(15, -28). Use the first point in your
equation
y - [?
l(x - [

Answers

Answer:

y-30=2(x-2)

Step-by-step explanation:

m=y2-y1/x2-x1

-28-2=(-30)

15-30=(-15)

-30/(-15)=2

m=2

hope this helps =3

sorry if im wrong

A retiree has $200,000 to invest and needs to make $13,000 with her investments. If she can invest in government bonds at 6% or investment grade bonds at 8%, how much should she invest in each?

Answers

Answer:

She should invest 150,000 in government bonds and 50,000 in investment grade bonds

Step-by-step explanation:

Let the amount invested in government bonds be $y while the amount invested in investment bond be $x

Since total is $200,000

Then:

x + y = 200,000 ••••••(i)

Since 13,000 is what is expected to be earned, then this is like the interest.

thus;

6% of x + 8% of y = 13,000

6x/100 + 8y/100 = 13,000

Multiply through by 100

6x + 8y = 1300000 •••••••(ii)

From i, x = 200,000 - y

insert this into ii

6(200,000-y) + 8y = 1300000

1200000-6y + 8y = 1300000

2y = 1300000-1200000

2y = 100,000

y = 100,000/2

y = 50,000

but x + y = 200,000

thus, x = 200,000 - 50,000

x = 150,000

Hello!, All I wanted to ask was what is the answer to this question “Evaluate 9 + 7 x 5”
AND what does Evaluate mean?

Answers

Evaluate basically means to solve. So using order of operations, you first multiply 7 and 5 and get 35, then add 9 to get 44. So 44 would be your final answer.

Answer:

the answer is 44 and evaluate is just a fancy word for solve i believe

Step-by-step explanation:

13+4+ 10 = 13+ 10 is that communicative property or associative property

Answers

Answer:

its commutative property

Answer:

It is communicative property :)

Step-by-step explanation:

The fraction 26/5 is between which two numbers?

Answers

Answer:

25/5 and 27/5

Step-by-step explanation:

26/5 = 4 1/5

26/5 is between 4 and 5.

3(x+-10)=5(2x+8) Honestly I hate math lol.

Answers

Hey :)

x = -10

Use the distributive property to multiply 3 by x−10
3x−30=5(2x+8)

Use the distributive property to multiply 5 by 2x+8
3x−30=10x+40

Subtract 10x from both sides
3x−30−10x=40

Combine 3x and −10x to get −7x.
−7x−30=40

Add 30 to both sides
−7x=40+30

Add 40 and 30 to get 70
−7x=70

Divide both sides by −7
x= 70/-7


Divide 70 by −7 to get −10


Hope this helps :)

Answer:

- 10

Step-by-step explanation:

Step 1:

3 ( x - 10 ) = 5 ( 2x + 8 )      Equation

Step 2:

3x - 30 = 10x + 40       Multiply

Step 3:

- 30 = 7x + 40     Subtract 3x on both sides

Step 4:

- 70 = 7x           Subtract 40 on both sides

Step 5:

x = - 70 ÷ 7         Divide

Answer:

x = - 10

Hope This Helps :)

1. Name the x- and y-intercepts for the equation: 2x + y = 6 (0, 3) and (60) (0, -3) and (-6,0) (3,0) and (0,6) (-3,0) and (0, -6)​

Answers

(3,0) and (0,6)
Y= -2x + 6
0= -2x + 6
-6/-2 = 3
X= 3
(3,0)

Y = -2(0) + 6
Y=6
(0,6)

Answer:

x- (3,0) and y- (0,6)

Step-by-step explanation:

see picture below

hope this helps!! :)

how many moles is 264.06 grams of carbon dioxide?

Answers

I think you can search it up

in the diagram (triangle) ABC = (triangle) PQR.

a. Describe one transformation that maps (triangle) ABC to (triangle) PQR.

b. Describe two reflections that map (triangle) ABC to (triangle) PQR.

c. Reflect (triangle) ABC across the line y = x. Describe how to map image to (triangle) PQR.

Answers

B.
Because it reflects over

2x - 3x = 33

what is it .?​

Answers

Answer:

- 33

Step-by-step explanation:

Step 1:

2x - 3x = 33       Equation

Step 2:

- x = 33      Subtract

Answer:

x = - 33

Hope This Helps :)

The solution to the equation 2x - 3x = 33 is x = -33.

To solve the equation 2x - 3x = 33, we need to combine like terms on the left side of the equation and then solve for x.

Combine like terms:

2x - 3x = -x

Rewrite the equation with the combined terms:

-x = 33

To isolate x, we need to multiply both sides of the equation by -1:

(-1)(-x) = (-1)(33)

This simplifies to:

x = -33

Therefore, the solution to the equation 2x - 3x = 33 is x = -33.

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ6

i need help w this math q, ill mark branliest

Answers

Answer:

I would say 17.6 miles

Step-by-step explanation:

30 miles in 2 hours but we wanna know how many miles in 1.7 hours, I simply divided 30 by 1.7 and got 17.6 miles.

a large study used records from canada's national health care system to compare the effectiveness of two ways to treat prostate disease. The two treatments are traditional surgery and a new method that does not require surgery. The records described many patients whose doctors had chosen each method. The study found that patients treated by the new method were significantly more likely to die within 8 years. You have 300 prostate patients who are willing to serve as subjects in an experiment to compare the two methods. Describe a completely randomized design for this experiment. Write a few sentences describing how you would implement your design.

Answers

Answer:

To order to obtain the outcome, researchers should provide the health outcomes of every other process. Below however is the clarification given.

Step-by-step explanation:

Researchers are gathering medical reports from 200 surgeons as well as 200 non-surgeons who use surgical care. For such individuals, the researchers report ten-decade health outcomes as well as to measure which group lasts longer.These are ended up finding, as stated in the above research article, that patients treated by either a particular technique are more likely to suffer in less than 8 years.

Solve for h: A = (1/2)*b*h*
O h = 2*A*b
O h = A *(b/2)
O h = (2*A)/b
0 h = (2+b)/A

Answers

Step-by-step explanation:

The answer is the third option

230.071 in expanded form

Answers

200+30+0+0.70+0.01

Hope it's right

Answer:

Expanded Notation Form:

 200  

+ 30  

+ 0  

+   0.0

+   0.07

+   0.001

Expanded Factors Form:

 2 × 100  

+ 3 × 10  

+ 0 × 1  

+ 0 ×   0.1

+ 7 ×   0.01

+ 1 ×   0.001

Expanded Exponential Form:

2 × 102

+ 3 × 101

+ 0 × 100

+ 0 × 10-1

+ 7 × 10-2

+ 1 × 10-3

Word Form:

two hundred thirty and seventy-one thousandths

Step-by-step explanation:

Other Questions
Write the coordinates of point H' after the following translation:1) translation: 6 units left and 4 units up whats the answer to number 1 please and thank you? please write down the steps too Which statement correctly identifies a local minimum of the graphed function? Over the interval [3, 2], the local minimum is 0.Over the interval [2, 1], the local minimum is 2.2.Over the interval [1, 0.5], the local minimum is 1.Over the interval [0.5, 2], the local minimum is 4. A group of friends are playing a lawn game. In each round of the game, the players take turns throwing a plastic disc and aiming for the line. Their score is based on the distance their disc lands from the line. If the disc lands before the line, their score is negative. If the disc lands after the line, their score is positive.The table below shows the scores from the first round.Jada -4Jacques 7Maeve -2Vladamir 3Terrance 1Put the players in order from first place to last place.Please put the answer and not something stupidAlso Ill give brainliest Find the distance and midpoint for the points (3,4) and (19, 16).The distance isThe midpoint is a (, ) Please help me out Match these examplesTissueOrganOrgan systemWith these examplesBone MarrowBonesSkeletal systemhuman body help please i am really struggling volume of 29 mL and has a mass of 53 g whats is the density A company has determined that its profit for a product can be described by a linear function.The profit from the production and sale of 150 units is $455, and the profit from250 units is $895.(i) What is the average rate of change of the profit for this product whenbetween 150 and 250 units are sold?(ii) Write the equation of the profit function for this product.(iii) How many units give break-even for this product?(b) You are the CEO for a lightweight compasses manufacturer. The demandfunction for the lightweight compasses is given by p = 40 4q2where qis the number of lightweight compasses produced in millions.It costs the company $15to make a lightweight compass.(i) Write an equation giving profit as a function of the number of lightweight compassesproduced.(ii) At the moment the company produces 2 million lightweight compasses and makes a profitof $18,000,000, but you would like to reduce production. What smaller number oflightweight compasses could the company produce to yield the same profit? What was the purpose of the navigation acts? I wil give brainliestExplain how you would graph the line -3x - y = 9 using intercepts. How many 1/8s are in 1 1/4Please answer mZB = xo, what is the measure of a supplement of LB? HELP ME HELP ME PLEASEEE!!!!!!!!! PLZ HELPExplain how to multiply mixed numbers. how many slices of pizza there are in 20 large pizzas each having 15 slices. A. 300 B. 350 C. 200 D. 450 A large colony of mice lived in a house that was the enemy wasn't think that chat even at night it was not safe for the mice to come out of the walls in search of food they found it hard to get enough to eat one day of the mice'... Complete the story in 210 words Put the word posterity in a sentence draw a common symbol that can be found locally to represent of quantitative research. provide an explanation for your drawing.Symbols?explanation? When would using an image be unnecessary?