Marcy purchases a total of 12 adult, child, and senior tickets for an art museum tour. Adult tickets are $5 each, child tickets are $2 each, and senior tickets are $4 each. If she purchases 4 more child tickets than senior tickets and spends a total of $38, which statement is true?
The solution to this system is no viable because it results in fractional values of tickets.
The solution to this system is viable.
The solution to this system is nonviable because it results in negative values of tickets.
The solution to this system is no viable because it results in fractional values of money.

Answers

Answer 1

Answer:

A: The solution to this system is no viable because it results in fractional values of tickets

Step-by-step explanation:

Let number of adult, child, and senior tickets be x, y and z respectively.

Thus;

x + y + z = 12 - - - (eq 1)

she purchases 4 more child tickets than senior tickets.

Thus, y = z + 4

Thus:

x + (z + 4) + z = 12

x + 2z + 4 = 12

x + 2z = 8 - - - (eq 2)

Also, We are told that Adult tickets are $5 each, child tickets are $2 each, and senior tickets are $4 each. She spends a total of $38,

Thus;

5x + 2(z + 4) + 4z = 38

5x + 2z + 8 + 4z = 38

5x + 6z + 8 = 38

5x + 6z = 38 - 8

5x + 6z = 30

Divide through by 5 to get;

x + (6/5)z = 6 - - - (eq 3)

Subtract eq 2 from eq 1 to get;

2z - (6/5)z = 8 - 6

2z - (6/5)z = 2

Multiply through by 5 to get;

10z - 6z = 10

4z = 10

z = 2½

It's not possible to have a fractional value of a ticket and thus we can say that the solution is not viable.


Related Questions

What number makes the equation true? Enter the answer in the box.
= 2 = 8
= 8

Answers

Answer:

a = 4

Step-by-step explanation:

Let the number be a.

2× a = 8 ...(1)

We need to find the value of a such that th above equation is true.

Divide both sides of equation (1) by 2 .

a = 8/2

a = 4

Hence, if the value of a is 4 the equation will become true.

The product of two numbers has a 5 in the ones digit. Are the two numbers even or odd

Answers

You could do something simple like 5x5 and that gets you 25 and 5 is odd

The ones digit of the product of two numbers has an odd 5 in it.

What are products?

The outcome of one or more multiplications is referred to as a "product." For instance, the mathematical statement "times equals" would be written with the multiplier, the multiplicand, and their product as the variables.

According to our question,

You might perform a simple calculation like 5x5 to get the odd value of 25, as 5 is odd.

hence,The ones digit of the product of two numbers has an odd 5 in it.

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Half a pepperoni pizza plus three fourths of a ham-and-pineapple pizza contains 765 Calories. One fourth of a pepperoni pizza plus a whole ham-and-pineapple pizza contains 745 Calories. How many Calories are in a whole pepperoni pizza? How many Calories are in a whole ham-and-pineapple pizza?

Answers

Answer:

Let x be the number of calories in the pepperoni pizza and y be the number of calories in ham-and-pineapple pizza. Then, we can make two equations out of the problem statement.

Eq 1: (1/2)x + (3/4)y = 765

Eq 2: (1/4)x + y = 745

By transposing, Eq 2 becomes: y = 745 - (1/4)x. We substitute this to Eq. 1:

(1/2)x + (3/4)(745 - (1/4)x) = 765

x = 660

Then we substitute x to Eq 2 to get y:

y = 580

Thus, there is 660 calories in pepperoni pizza and 580 calories in ham-and-pineapple pizza.

Man travelled twofifth of his journey by train,onethird by bus, one fourth by car and thr remaining 3 km by foot . What is the length of his total journey

Answers

Answer:

180 km

Step-by-step explanation:

Let total length of journey = x

By train = 2/5x

By bus = 1/3x

By car = 1/4x

By foot = 3km

(2/5)x + (1/3)x + (1/4)x + 3 = x

L. C. M of 5, 3 and 4 = 60

(24x + 20x + 15x) / 60 = x

24x + 20x + 15x + 180= 60x

24x + 20x + 15x - 60x = - 180

-x = - 180

x = 180

Hence, total length of journey = 180km

Is it A, B, C, or D?

Answers

9514 1404 393

Answer:

  (D)  -1.3 + 1.9

Step-by-step explanation:

The number being subtracted in the given expression is -1.9. The opposite of that number is +1.9.

If we are to show equivalence of subtraction and adding the opposite, we expect to do so with ...

  [tex]-1.3-(-1.9)=\boxed{-1.3+1.9}[/tex]

This is not a choice that is presented in this problem statement, so we suppose it is D (not shown).

Find the missing side length. Round to the nearest TENTHS place if
necessary

Answers

Answer:

2 is your answer

Step-by-step explanation:

Ryan is saving money to buy a skateboard that cost $85.00. He has already saved $40.00 and plans to save the same amount each week for 3 weeks. How much should he save each week to buy the skateboard?

Answers

Answer:

i got 45 but I'm not sure

Step-by-step explanation:

so if he is saving up fot the skate board,

you would need to multiply 40 × 3 that will give you 120, then after that I subtracted 85 from 120 and got 45 but like I said I'm not so sure

What inequality is shown by the​ graph? algebra 1

Answers

we are working on the same thing lolll

HELPPP ILL GIVE BRAINLIEST IF ITS RIGHT

Answers

Answer:

Mixed Number: 4 191919/1,000,000

Fraction: 4191919/1,000,000

Step-by-step explanation:

Answer:

bsysbjzjsjshshhsjsuejskbuaosnznzjz

A used automobile dealership recently reduced the price of a used compact car by 12%. if the price of the car before discount was $34,500, find the new price.

Answers

Answer:

Step-by-step explanation:

30,360

It’s algebra one please help

Answers

Answer: I'm gonna say (3,-2)

Step-by-step explanation: my best guess, bc they intersect

In a recent survey of 247 nurses, 162 were unhappy with their jobs due to the difficult working hours and work-related stresses. Find the percent unhappy with their jobs.

Answers

Answer:

162 is 65.587044534413% of 247

rounded its 66%

Step-by-step explanation:

Answer:

162/247×100=67%

Step-by-step explanation:

The number of sweets s that each friend gets is the number of sweets in a box n divided by the number of friends f the sweets are shared between. Enter a formula for the number of sweets each friend gets and enter the number of sweets each friend gets if there are 60 sweets and 12 friends.

Answers

Answer:

The number of sweets each friend gets = 5

Step-by-step explanation:

The number of sweets s that each friend gets = the number of sweets in a box n ÷ number of friends f the sweets are shared between

s = n ÷ f

s = n/ f

if there are 60 sweets and 12 friends.

That is,

n = 60 sweets

f = 12 friends

Find s,

s = n/ f

= 60 / 12

= 5

s = 5 sweets

The number of sweets each friend gets = 5

What is the solution set for this inequality -4x + 62 < -18

Answers

Answer:

x > 20

Step-by-step explanation:

-4x + 62 < -18

Add subtract 62 from both sides

-4x < -80

We can flip the sign and take away the negatives if both sides are negative.

4x > 80

Divide both sides by 4

x > 20

The discount of a hat is 18 Dollars,

what is the regular price

20°/• discount​

Answers

Answer:

14.4 dollars

Step-by-step explanation:

the Hat has 20 percent discount

The Hat with discounted price is 18 dollars

the 20% of 18 dollar is 3.6 dollars

hence if we subtract 3.6 dollars from 18 dollars

we get 14.4 dollars as regular price

6th grade math i mark as brainliest​

Answers

Answer:

9. Second part [tex] (30\div 6)[/tex]

10. 7.6u (first part)

Step-by-step explanation:

9. Second part [tex] (30\div 6)[/tex]

10. 7.6u (first part)

9. A Quotient is “a result obtain by dividing one quaintly by another” so therefore (30 ➗ 6)
——-
10. Product is the name of the answer of multiplication or from algebra operation

Please does anyone know the correct answer choice for this question!!!????

Answers

Answer:

(3:-2) bc u must substitute -2 in for y in the 2th equation

Answer:(3,-2) so the first point

What is the area of figure ABCD?
(image of figure down below)

104 square inches
120 square inches
136 square inches
168 square inches

Answers

Answer:

a

Step-by-step explanation:

Which of the following is the point-slope equation of the line that passes through
(4,-2) and has a slope of 1/2?

Answers

Answer: y + 2= 0.5(x - 4) Is this good?

Step-by-step explanation:

n2 = 39


HELP YALL ILL GIVE BRAINLY

Answers

Answer: 78

Step-by-step explanation: multiply 39 by 2

The answer to this question is 78

Can someone put this into slope intercept form?

4x + y *insert greater than or equal to sign here* 2

i’ll give brainliest to first person with an actual answer

(20 point question)

Answers

Answer:

y>=-4x+2

Step-by-step explanation:

Answer:

Greater than 2

Step-by-step explanation:

Have trust

select all equations that are equivalent to 5x+6/2=3-(4x+12)

Answers

Answer:

x=-4/3

Step-by-step explanation:

quickkk! -2x-4>-64//what is the value of x

Answers

Answer:

x<30

Step-by-step explanation:

u got this

Answer:

x ≤ 30

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

                    -2*x-4-(-64)>0  

Step by step solution :

STEP

1

:

Pulling out like terms

1.1     Pull out like factors :

  -2x + 60  =   -2 • (x - 30)  

Equation at the end of step

1

:

STEP

2

:

2.1    Divide both sides by  -2  

Remember to flip the inequality sign:

Solve Basic Inequality :

2.2      Add  30  to both sides

            x < 30

Inequality Plot :

2.3      Inequality plot for

        -2.000 X  + 60.000  <  0

 

 

One solution was found :

x < 30

 i hope this helps have a good day!

Which side lengths form a right triangle?

Answers

Answer:

abswer is b no

Step-by-step explanation:

hope it help

Nancy and bill collect coins. Nancy has x coins. Bill has 6 coins fewer than times the number of coins nancy has. Write and simplify an expression for the total number of coins nancy and bill have

Answers

Answer:

Total number of coins Nancy and bill have = 6x - 5

Step-by-step explanation:

Nancy and bill collect coins. Nancy has x coins. Bill has 5 coins fewer than five times the number of coins Nancy has. Write and simplify an expression for the total number of coins Nancy and bill have . Simplify your answer .

Let

Number of Nancy's coins = x

Number of Bill's coins = 5x - 5

Total number of coins Nancy and bill have = Number of Nancy's coins + Number of Bill's coins

= x + (5x - 5)

= x + 5x - 5

= 6x - 5

Total number of coins Nancy and bill have = 6x - 5

Select the correct location on the table.
Luke solved a rational equation as shown, but his work contains an error. Identify the step in which Luke made an error.

Answers

Answer:

someone plz answer this I need the answer

Step-by-step explanation:

Help please ill mark you brainliest if right :)

Answers

All real numbers greater than or equal to 0 is the answer.

In interval notation: [0, infinity)

I need some help with this.

Answers

Answer:

b is 16 d is 13

Step-by-step explanation:

ok is a baby girl that can I be happy

Someone pls explain :)!!!!

Answers

Answer:

The graph of a non-proportional linear relationship is a straight line that does not pass through the origin.

The formula is y=mx+b

:D

What is 23/24 as a decimal rounded to the nearest hundredth?

Answers

Answer:

95.80

Step-by-step explanation:

The number 23/24 rounded to the nearest hundredth is 0.96

What is rounding up numbers?

There are basically two rules while rounding up numbers

If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down and if the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

Given data ,

Let the number be A = 23/24

So , in order to round the number

First we need to find the decimal for of the number A

And ,

A = 23/24

A = 0.9583

And , rounding the number to its nearest hundredth is rounding the number to two decimal places

So ,

A = 0.9583

A = 0.96

Hence , The number 23/24 rounded to the nearest hundredth is 0.96

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