The science club is going on a field trip to the science museum. The club has at most $800 to spend on the trip. The bus for the trip costs $100, and meals at the museum cost $4.50 per student. If admission to the museum is $12 per student and $16 per adult, and there are six chaperones attending, how many students can go on the trip? Write inequality to represent the situation. do not solve the inequality. Defined the variable.

Answers

Answer 1

Answer:

38 students

Step-by-step explanation:

100+(16x6)=196

800-196=631

4.50+12=16.5

63/116.5=38.24

Answer 2

Answer:

100+4.50(s)+12(s)+96 less than or equal to 800

[tex] \leqslant [/tex]

s=students

Step-by-step explanation:

they can spend up to 800 dollars OR LESS. They have a charge of 100 dollars for the bus, plus a charge of 4.50 per student for lunches, plus a charge of 12 dollars per student for admissions plus 16 dollars times 6 (96) for the chaperones. All of this gives us our inequality above.

I really hope this helps!

PS: the reason why the adults don't get their own variable is because it says to define the variable not variable(s). You also cannot group the adults with the students because the student costs and the adult costs are two totally seperate and different amounts. if you just used variable p for people it wouldn't work because you wouldn't know how many adults were required to pay adult admission.


Related Questions

Write a linear equation for the line that passes
through the two points (-6, 7) and (-3, 6). Show all
work

Answers

Answer:

y=-1/3x+5

Step-by-step explanation:

to find the slope you have to use the equation y₂-y₁/x₁-x₂

which will give you 6-7/-3-(-6) --> -1/3

the product of this equation is your slope

The degree of the polynomial function f(x) is 3.

The roots of the equation f(x)=0 are −4, 0, and 2.

Which graph could be the graph of f(x)?

Answers

Answer:

there is no image

Step-by-step explanation:

Paige was measuring how much taller she got over two years. In the first year she grew 4.62 cm.
In the second year she grew 7.7 cm. How much taller did she get all together?
a. 53.9 cm
b. 12.32 cm
C. 3.08 cm
d. 13.42 cm

Answers

The answer is 12.32 cm
Thats the answer ❤️

meredith deposited $200 into an account

Answers

What’s the question? Or what am I suppose to answer
In what account she did

What is twenty% of 1000

Answers

Answer:

200

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

Google told me that 20% of 1000 is 200

√3x-1=7 solve for x. What is the root? If there is no root, choose none.

Answers

Remove the radical by raising each side to the index of the radical.
Exact Form:
x=50


3
x
=
50
3
Decimal Form:
x
=
16.
¯
6
x
=
Mixed Number Form:
x
=
16
2
3

What is the solution to this system of equations?

y = x + 6
y = -0.5x + 3
A. (2, -1)
B. (-2,4)
C. (-1,2)
D. (4,-2)

Answers

The correct answer is B (-2,4)

When does a quadratic equation have no solutions

Answers

Answer:

A quadratic equation has solutions when the graph crosses the x-axis. There are two ways the graph can have no solution, when the "a" value is greater than 0 and is translated vertically above the x-axis, or if the opposite occurs, when the "a" value is negative and is translated vertically below the x-axis.

-3= 6 +?
Help ASAP!!

Answers

Answer:

-9

Step-by-step explanation:

-3 = 6 - 9

-3 = -3


Allison buys a spool of thread for sewing. There are 10 yards of thread on the spool. She uses 9 meters. How much thread is left on the
spool in meters? Round your answer to the nearest thousandth, if necessary.

Answers

there are 9.144 meters in 10 yards, therefore, there would be .144 meters left of thread.

The amount of meters left is  0.144 meters

First and foremost, it should be noted that: 1 yard = 0.9144 meter

Therefore, 10 yards to meters will be:

= 0.9144 × 10

= 9.144 meters

Since Allison uses 9 meters, the amount of thread that is left on the

spool will be:

= 9.144 meters - 9 meters

= 0.144 meters

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Do we flip the inequality 2x<-6

Answers

No.

When you divide by a positive value you do not flip the inequality, only when dividing by a negative value.

2x < -6

To solve for c you divide both sides by 2, which is a positive value so the inequality stays the same:

X < -6/2

X < -3

Consider the equation 5 – 3(2x – 7) = 12 – 5(x – 2). Is x = 2 a solution to this equation? Is x = 4 a solution to this equation? Explain your reasoning in each case.

Answers

Answer:

yes x=4

Step-by-step explanation:

may this will support you

NEED HELP WITH MATH! Will Give brainliest! Picture of problem is below

Answers

Answer:

2

Step-by-step explanation:

Put these fractions in order of size, smallest to largest 1/4, 1/2, 1/3

Answers

Answer:

From smallest to largest 1/4, 1/3,1/2

Step-by-step explanation:

As the data suggests: 1/4 would be the smallest, 1/3 is in the middle, and 1/2 is the largest sum.

1/4 = 0.25

1/3 ≈ 0.33

1/2 = 0.5

The fractions in order of size, smallest to largest, 1/4, 1/3, 1/2

Used the concept of ascending order that states,

Ascending order is a method of arranging numbers from smallest value to largest value. The order goes from left to right.

The numbers arranged in order from least to the greatest number is called Ascending order.

Given that,

The fraction is,

1/4, 1/2, 1/3

Now evaluate the fractions as

1/4 = 0.25

1/2 = 0.5

1/3 = 0.33

After arranging the number into ascending order, we get;

0.25, 0.33, 0.5

Or, 1/4, 1/3, 1/2

Therefore, the fractions in order of size, smallest to largest is,

1/4, 1/3, 1/2

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What are the parts of a division problem?

Answers

Answer: A division problem is were you have your two numbers and you divide them, and that's it..

Answer:

Each party involved in a division equation has a special name. Dividend: The dividend is the number that is being divided in the division process. Divisor: The number by which dividend is being divided is called the divisor. Quotient: A quotient is a result obtained in the division process.

Step-by-step explanation:

Simplify and determine the coefficient of (-2/3x)(3y)(-2x). 4,-4,1/3,1

Answers

Answer:

4

Step-by-step explanation:

on edge


Can somebody help me with this problem?

Answers

Answer:

You need to use y=mx+b

In this case, m=1.5 so that means that y=1.5x

Now you must find out the y intercept which is "b" in y=mx+b

I think it is the first one (y=1.5x+72)

Answer:  y = 1.5x+63  (choice B)

====================================================

Explanation:

The given slope is m = 1.5

We want the line to go through (x,y) = (6,72). This means x = 6 and y = 72 pair up together.

We'll plug those m, x, and y values into the equation below to solve for b

y = mx+b

72 = 1.5*6+b

72 = 9+b

72-9 = b ... subtract 9 from both sides

63 = b

b = 63 ... y intercept

-------------------

Since m = 1.5 and b = 63, we go from y = mx+b to y = 1.5x+63

Luis bought stock at $50.70. The next day, the price increased $17.75. This new price changed by -3-%
3
4
the following day. What was the final stock price, rounded to the nearest cent? Is your answer reasonable?
Complete the explanation.

Answers

Answer:

Starting price is $50.70.

Next day the price is $50.70 + $17.75 = $68.45

This price then changed by: [tex]-3\frac{3}{4}\%=-3.75\%[/tex].

So in order to calculate that we do: [tex]68.45 - (3.75/100*68.45)=65.883125 =\$65.88[/tex]

Therefore final price is $65.88.

Yes, this is reasonable.

3) Which of the following is the slope of a line that is parallel to the line y = 8x + 3

Answers

Answer:

8 is slope

Step-by-step explanation:

if it is parallel it is the exact same slope and this equation has a slope of 8

Mandy took a total of 6 quizzes over the course of 3 weeks. At this rate, attending 5 weeks of school this quarter, how many quizzes will Mandy have taken?

Answers

Answer

2 is the unit rate

Step-by-step explanation:

6/3 =2x5=10

Answer:

2

Step-by-step explanation:

b) how would
You work out 7 2/3 + 2 1/5

Answers

Answer:

9 13/15

Step-by-step explanation:

Find a common denominator which is 15

2        10.             1.               3

—  =  ——.          ——   =      ——

3        15              5               15

7 + 2 = 9

10/15 + 3/15 = 13/15

9  13/15

Answer:

Step-by-step explanation:

7+2=5

I would convert 2/3 into 10/15 and convert 1/5 into 3/15 and add

10/15 + 3/15 = 13/15 and the answer would be

5 13/15

Write a polynomial function that has a leading coefficient of 1, and the given zeros
at 3, 5, and -i.

Answers

9514 1400 393

Answer:

  p(x) = x^4 -8x^3 +16x^2 -8x +15

Step-by-step explanation:

Assuming you want real coefficients, the imaginary root means its conjugate is also a root. In factored form, the polynomial is ...

  p(x) = (x -3)(x -5)(x -i)(x +i) = (x^2 -8x +15)(x^2 +1)

  p(x) = x^4 -8x^3 +16x^2 -8x +15

An a plane flies 3.705 miles in 75 hours What is the speed of the airplane in miles per hour? Use the equation d = it, where d is distance is rate and tis time
The airplane's speed is miles per hour?

Answers

Answer:

20.243. (Rounded to the nearest hundredths)

Step-by-step explanation:

75 ÷ 3.705 = 20.24291498

Translate the sentence into an equation.
Five more than the product of a number and 2 equals 9.
Use the variable w for the unknown number.

Answers

Answer:

(w * 2) + 5 = 9

Explanation:

Product means multiplication. Five more than means adding 5. So, add five to the answer of w times 2 is 9.

(w * 2) + 5 = 9

Thus the equation is 5 + 2w = 9 and the unknown number is 2.

Given,

Five more than the product of a number and 2 equals 9.

We will use the unknown number as w.

We will form an equation.

Find the equation.

Let the unknown number be w.

"Five more than the product of a number and 2 equals 9".

we can write this as:

5 + w x 2 = 9

5 + 2w = 9

Find the unknown number.

We have,

5 + w x 2 = 9

5 + 2w = 9

Subtract 5 on both sides.

5 + 2w - 5 = 9 - 5

2w = 4

Divide both sides by 2.

w = 2

Thus the equation is 5 + 2w = 9 and the unknown number is 2.

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What is the distance form X to the rock ? Plz help

Answers

Answer:

50 or 60 feet

Step-by-step explanation:

Hello please help will give brainliest!

Answers

Answer:

I'm pretty sure it's A because it's measured with Miles pH no hour per mile

Answer:

A

Hope this helped ;)

4. What is the equation of a line perpendicular to 2x - 8y = 3 that contains the point (-8, 11)?
A. 2x - 8y = 104
C. 8x + 2y = 42
B. 2x + 8y = 104
D. 8x - 2y = 86​

Answers

Answer:

C

Step-by-step explanation:

It's y=-4/1-21

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

The equation of the line is y = (-1/2)x + 7

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Let the equation of the line is y = m(1)x + c

The line is perpendicular to 2x - 8y = 3

The means,

2x - 8y = 3

-8y = 3 - 2x

y = -(3 - 2x)

y = -3 + 2x

y = 2x - 3

This is in the form of y = m(2)x + c

m(2) = 2 and c = -3

Now,

The line y = m(1) + c is perpendicular to y = m(2) + c

So,

m(1) x m(2) = -1

m(1) = -1/2

Now,

The line contains (-8, 11) = (x, y).

This means,

y = m(1)x + c

11 = (-1/2) x -8 + c

11 = 4 + c

c = 11 - 4

c = 7

Now,

The equation of the line is y = (-1/2)x + 7

Thus,

The equation of the line is y = (-1/2)x + 7

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What is the prime factorization of 135?
32x52
3x5x9
3x53
0335

Answers

Answer: fourth option (3² × 5)

Step-by-step explanation: The prime factorization of 135 is (3² × 5) because:

3 x 3 x 3 = 27

27 x 5 = 135

The answer to the question is (3² × 5).

Answer:

3^3 × 5 [Fourth option, bottom one]

Step-by-step explanation:

First, 3^2 × 5^2 cannot be correct because although 3, and 5 are prime numbers 3^2 × 5^2 ≠ 135 as 3^2 × 5^2 = 225.

Second, 3 × 5 × 9 can't be right because although 3 × 5 × 9 = 135, 9 is not a prime number.

Third, 3 × 5^3 is not correct because although 3 and 5 are prime numbers, 3 × 5^3 ≠ 135 as 3 × 5^3 = 375.

The last question must be correct because it is the only remaining choice answer. Plus 3 and 5 are both prime numbers, and 3^3 × 5 = 135, 3^3 × 5 = 3 × 3 × 3 × 5 = 27 × 5 = 135.

Simplify 2y-3x2 +6x2 - 3y

Answers

Answer:3

x2−y

Step-by-step explanation:

Gather like terms and get the answer 3x2-y

The mean income per household in a certain state is $9500 with a standard deviation of $1750. The middle 90% of incomes are between what two values

Answers

Answer: The middle 90% of incomes are between $6621.25 and $12378.75 .

Step-by-step explanation:

The critical z-value for 90% confidence = 1.645

Given: Mean income per household  =  $9500

standard deviation = $1750

then,  middle 90% of incomes are between $(9500-(1.645)(1750)) and (9500+(1.645)(1750))

i.e.  middle 90% of incomes are between $6621.25 and $12378.75.

Hence, the middle 90% of incomes are between $6621.25 and $12378.75 .

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