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

(MC 02.03)

What set of reflections and rotations would carry rectangle ABCD onto itself?

Rectangle formed by ordered pairs A at negative 4, 1, B at negative 4, 2, C at negative 1, 2, D at negative 1, 1.

(4 points)

Group of answer choices

Rotate 180°, reflect over the x-axis, reflect over the line y=x

Reflect over the y-axis, reflect over the x-axis, rotate 180°

Reflect over the x-axis, rotate 180°, reflect over the x-axis

Rotate 180°, reflect over the y-axis, reflect over the line

Answers

Answer:1st option

Step-by-step explanation:

if a cat is a dragon and water is hard and the dark is light then why did I almost break my ankle?

Answers

Answer:

You dreamt

Step-by-step explanation:

After you dreamt you fell with a thump and broke your ankle (I'm sorry I'm not actually sure-)

Answer:

Uranus Gravitational pull

Step-by-step explanation:

Rewrite in simplest terms: -(3c - 8) - 3c​

Answers

Answer:

3c -8 -3f = Kc-

Step-by-step explanation:

Answer:

did da work :)

Step-by-step explanation:

If AM = MB, then AM + 5 = MB + 5.
which property

Answers

Answer:

Addition Property of Equality

Step-by-step explanation:

If A = B, then A + C = B + C

The statement is illustrating the Addition Property of Equality.

In the statement, A is AM, B is MB, and C is 5. Hope this helps!

The property of the required statement is addition Property of Equality.

It is required to find the property of the required statement.

What is a statement?

A statement is a declarative sentence that is either true or false but not both. A statement is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both.

Given:

Addition Property of Equality:

In an equation, the additive property of equality states that if we add or subtract the same number to both sides of an equation, the sides remain equal.

If A = B, then A + C = B + C

∴c=c

Therefore, the property of the required statement is addition Property of Equality.

Learn more about statement here:

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What is the slope of the line on the graph?

Enter your answer in the box.

Answers

Answer:

it cute

Step-by-step explanation:

are you a cute boy

The slope would be one

Any help on this please ?

Answers

Answer:

(0,-5), I believe.

Step-by-step explanation:

Answer:

It would be -5

Step-by-step explanation:

You have to plug in 0 into the function so it would look like

g(0)= (2/5 )(0) -5

g(0)= 0 -5

g(0)= -5

Zoe and Hannah share tips in the ratio 3:7. Last week, Zoe received £24. How much did Hannah receive last week?

Answers

Answer:

hannah gets £56

Step-by-step explanation:

z   : h

3   : 7

24 : ?

24/3 = 8

8 x 7 = 56

£56

hope this helps

brainliest plz?

x

HELP DESPERATE WILL GIVE BRAINLIST FOR CORRECT ANSWER

Answers

Answer:

Look at the picture I attached!

Step-by-step explanation:

!!

very faint but the number in the root thing is 114 :) help please!!

Answers

dear I think the figure under the root is 144

14²- √144

(14 ×14) -12

the square root of 144 is 12

196 -12

184

Answer: "dookie dookie dookie"

*picture of the most trash game

Lily says that 1,234.56 = 1 x 10+2 x 102 +3 x 10' + 4 x 10° + 5 x 10-' + 6 x 10-2.
Do you agree? Explain.
Your answer

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]10 + 200 + 30 + 4 + 0.5 + 0.06 = 244.56 \\ [/tex]

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Thus I don't agree.

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Geometry ppl i need help please
It’s 13 - 17
It’s unit 2
lesson 2.6 Properties & algebraic proofs

Answers

13. You are correct. You multiply the outer 5 with each term inside, and add.

-----------

14. The number 0 goes in the first blank and 8 goes in the second blank. So we have 8+0 = 8. The identity property of addition says that adding 0 to any number leads to the same result. In terms of algebra, x+0 = x.

-----------

15. The fraction 1/8 goes in the first blank and 1 goes in the second blank. We have the equation 8(1/8) = 1. Multiplying any nonnegative number x with its reciprocal 1/x leads to 1.

----------

16. The number 1 goes in the first blank and -4 goes in the next blank. This property is similar to the property mentioned in problem 14. This time we're working with the multiplicative version. We have the equation -4*(1) = -4

----------

17. The letter a goes in the first blank and x+3 goes in the second blank. So the last equation is a = x+3. The transitive property is the idea of us chaining equations together. It's like saying "if A goes to B, and B goes to C, then A goes to C". Think of it like taking a shortcut bypassing B entirely.

Can anyone answer this its due in 5 minutes

Answers

I’m pretty sure it’s c

Answer:

c. n//p

Step-by-step explanation:

how many times do 8 go into 18?

Answers

Answer: 2.25

Want free points?! Want free brainliest?! Come to my profile and just answer one of my questions. I am YOUR community builder who gives free things. ("Thanks" on ur profile, points, hacks, brainliest, etc.)

Put me as brainliest so I can receive 50% more points!

Answer:

2.5

Step-by-step explanation:

Which values from this set {−36, −32, −16, 0, 4, 16} satisfy this inequality? −14x+6≥14 −32, −16, 0, 4, and 16 only 0, 4, and 16 only −36, −32, and −16 only −36 and −32 onlyWhich values from this set {−36, −32, −16, 0, 4, 16} satisfy this inequality? −14x+6≥14 −32, −16, 0, 4, and 16 only 0, 4, and 16 only −36, −32, and −16 only −36 and −32 only

Answers

Answer:

Step-by-step explanation:

Given the inequality −14x+6≥14, we are to find the range of x that will make the inequality true.

Given −14x+6≥14

Subtract 6 from both sides.

−14x+6-6≥14-6

-14x≥8

-7x≥4

Multiply both sides by -1

-(-7)x≤-4

7x ≤ -4

x≤-4/7

This shows that the values of x is always less than or equal to -0.57

Hence the values less tan the value of x in the inequality are -36, -32 and -16

Given h(x)=-x-4h(x)=−x−4, solve for xx when h(x)=9h(x)=9.

Answers

Answer:

[tex]x=-5[/tex]

Step-by-step explanation:

Given [tex]h(x)=-x-4[/tex], solve for x when [tex]h(x)=9h(x)=9[/tex].

First we need to figure out what number multiplied by 9 is equal to 9. This number is 1. [tex](1*9=9)[/tex]

Therefore, we know that h(x) should be equal to 1 in order for 9 times h(x) to equal 9.

Create an equation where h(x) = 1.

[tex]h(x)=1 \\ (-x-4)=1[/tex]

Solve this equation by adding 4 to both sides of the equation.

[tex]-x=5[/tex]

Divide both sides of the equation by -1 to isolate x.

[tex]x=-5[/tex]

Check your answer by substituting -5 for x back into the equation to make sure h(x) = 1.

[tex]-(-5) - 4 = 1[/tex]

If [tex]h(x)=1[/tex], then the statement  [tex]9h(x) =9[/tex] is true, verifying our answer for x is correct.

pls help with geometry!! will mark brainliest

Answers

Answer:

x = 6°

y = 15°

Step-by-step explanation:

90 + 6y = 180 (linear pair, supplementary)

6y = 90 (180 - 90)

y = 15°

6y and 5x + 60 are corresponding angles. Corresponding angles are equal

Hence:

6y = 5x + 60

Sub y = 15° into equation

90 = 5x + 60

90 - 60 = 5x

5x = 30

x = 6°

work out the probability that halima at least walks one way

Answers

can you please explain what you said

What is f(-5) for the function f(x) = -9x - 3?
Can you help

Answers

-48 is your answer I believe
Pls mark brainliest

Answer:

42

Step-by-step explanation:

Step 1:

F ( x ) = - 9x - 3         Function

Step 2:

f ( x ) = - 9 ( - 5 ) - 3      Input x

Step 3:

f ( x ) = 45 - 3        Multiply

Answer:

f ( x ) = 42       Subtract

Hope This Helps :)

Marisa runs a 400 meter race in 80 seconds. What is Marishas average speed for the race?

Answers

Answer:

5 meters per second

Step-by-step explanation:

average speed = total distace / total time

400 meters / 80 seconds = 5 meters per second



Leora had some money in her wallet. She spent $18.62 buying groceries and had $43.55 left. How much money did she
have in her wallet before she bought the groceries?

Answers

Answer:

$62.17

Step-by-step explanation:

18.62 + 43.55 = 62.17

Answer:

$62.17

Step-by-step explanation:

we can find out how much she had before she bought groceries by adding the amount she spent to the amount she had left.

43.55 + 18.62 = 62.17

therefore, the answer is $62.17

Which equation shows an example of the associative property of addition?
(4+1) + 4 = 4 + (i + 41)
(4 + 1) + 41 = 4j + (-41 + 1)
4 • (-41 + 1) = (41 – 41) + (41 - 1)
O (-41 + 1) + 0 = (-41 + 1)

Answers

Answer:

A i think

Step-by-step explanation:

It’s A,I’m sure it is or just look it up but tbh I need more points

the flag of the bahamas includes an equilateral triangle. the perimeter of the triangle is p=3s, where s is the side length. use your formula to find the dimensions of the flag in feet and the area in square feet when the perimeter of the triangle is 126 inches​.

Answers

Answer:

345

Step-by-step explanation:

3!

China is known as the most populous country in the world with an estimated population of 1,400,000,000 while the United States of America has an estimated population of 328,000,000. To the nearest person, how many times greater is the population of China than the population of the United States of America?

Answers

Answer:

China has 1,072,000,000 more people

Step-by-step explanation:

x/16- (x+2)/8=2 pls help, need answer soon.

Answers

Answer:

x = -36

Step-by-step explanation:

Step 1: Write equation

x/16 - (x + 2)/8 = 2

Step 2: Solve for x

Multiply both sides by 16: x - 2(x + 2) = 32Distribute -2: x - 2x - 4 = 32Combine like terms: -x - 4 = 32Add 4 to both sides: -x = 36Divide both sides by -1: x = -36

Step 3: Check

Plug in x to verify it's a solution.

-36/16 - (-36 + 2)/8 = 2

-9/4 - -34/8 = 2

-9/4 + 17/4 = 2

8/4 = 2

2 = 2

will give brainliest for correct answer

Answers

Answer:90

Step-by-step explanation:

4. (03.03 HC)
The table shows the outputs, y, for different inputs, x:
Input 2 4 6 8
Output
(y)
1 2 3 4
Part A: Do the data in this table represent a function? Justify your answer. (3 points)
Part B: Compare the data in the table with the relation f(x) = 3x - 10. Which relation has a greater value when x = 8? (2 points)
Part C: Using the relation in Part B, what is the value of x if f(x) = 80? (5 points)
(10 points)

Answers

Answer:

A: The data does represent a function because there are no repeating x values. a function can have repeating y values but cannot have repeating x values. Also, there is one value of y for every value of x.

B: f(x)=1/2x

f(x)= 3x-10

f(8)=1/2(8) ----> 4

f(8)=3(8)-10 ----> 14

f(x)=3x-10 has a greater value when x=8

C:  f(x)=1/2x

f(x) = 80

80=1/2x  

80*2=x

x=160

Step-by-step explanation:

The data in the table is a function. The relation has f(x) = 3x - 10 has greater value when x = 8. And the value of x is 30 when f(x) = 80.

What is Function?

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Part A :

The table has the data values,

x : 2  4  6  8

y : 1  2  3  4

The given data represents a function, because elements in the domain (2, 4, 6 and 8) has only one image in the Range (1, 2, 3 and 4).

Part B :

f(x) = 3x - 10

x = 2, then f(x) = y = -4

x = 4, then f(x) = y = 2

x = 6, then f(x) = y = 8

x = 8, then f(x) = y = 14

The relation f(x) = 3x - 10 has the greater value when x = 8.

Part C :

f(x) = 80

3x - 10 = 80

3x = 80 + 10

3x = 90

x = 90 / 3

x = 30

Hence the relation in the table is a function. The second relation f(x) = 3x - 10 has the greater value when x = 10 after computing the values of both the relations.

To learn more about Functions, click :

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slope-intercept from two points (4,-8) and (8,5)​

Answers

Here you go :)

Slope is equal to the change in y over the change in x or rise over run:

m = change in y/change in x

The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise):

m=y2−y1/x2−x1

Substitute in the values of x and y into the equation to find the slope:

m=5−(−8)/8−(4)

Simplify:

m=13/4

Substitute the value of m into the slope-intercept form of the equation, y = m x + b :

y=(13/4)x+b

Substitute the value of x into the slope-intercept form of the equation, y = m x + b .

y = ( 13/ 4 ) ⋅ ( 4 ) + b

Substitute the value of y into the slope-intercept form of the equation, y = m x + b .

− 8 = ( 13/ 4 ) ⋅ ( 4 ) + b

Rewrite the equation as ( 13 4 ) ⋅ ( 4 ) + b = − 8 .

( 13/ 4 ) ⋅ ( 4 ) + b = − 8

Cancel the common factor.

13/ 4 ⋅ 4 + b = − 8

Rewrite the expression.

13 + b = − 8

Move all terms not containing b to the right side of the equation.

b = − 21

The values of the slope and y-intercept are m = 13 4 and b = − 21 .

m = 13 4

b = − 21

________

Answered by James

If tan m = One-half and tan n = –6, what is the exact value of tan(m + n)?

Negative StartFraction 11 Over 2 EndFraction
Negative StartFraction 11 Over 8 EndFraction
StartFraction 11 Over 8 EndFraction
StartFraction 11 Over 4 EndFraction

Answers

Answer:

B. -11/8

Step-by-step explanation:

Given:

tan m = ½

tan n = -6

Required:

Exact value of tan(m + n)

Solution:

Find m and n:

[tex] tan (m) = \frac{1}{2} [/tex]

[tex] tan (m) = 0.5 [/tex]

[tex] m = tan^{-1}(0.5) [/tex]

m = 26° (approximated)

[tex] tan (n) = -6 [/tex]

[tex] n = tan^{-1}(-6) [/tex]

n = -80° = 280° (i.e. 360 - 80)

Exact value of tan(m + n) = tan(26 + 280)

tan(306)

tan(307) = -1.37638192 ≈ -11/8

Answer:

B)  -11/8

Step-by-step explanation:

its correct on edge

The product of 7 and a number is greater than 42. If the
number is a whole number less than 10, what could the number
be?

Answers

Answer:

6

Step-by-step explanation:

The mass of an adult North Pacific right whale is about 70,000 kg, or 7 x 104
kg.
The mass of a male African elephant is about 7000 kg, or 7 x 103 kg.
About how many times more massive is the right whale than the African
elephant?
O A. 1.1 times
O B. 63,000 times
O C. 1x 10-7 times
O D. 1x 101 times

Answers

Answer:

d

Step-by-step explanation:

your mother told me the answer last night

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