Adult tickets to the museum cost $4, while student tickets
cost $3. If 105 tickets were sold for a total of $380, how
many of each were sold?

Answers

Answer 1

65 adult tickets were sold whereas 40 student tickets were sold as well

What approach is appropriate to solve the word problem?

The most suitable approach to determine the number of each type of tickets sold is by simultaneous  equation such the word problems are  modelled into equations which are solved together to ascertain the number of adult and student tickets sold altogether

let x be adult tickets sold

let y be student tickets sold

x+y=105........ equation 1

4x+3y=380........ equation 2

from equation 1, x=105-y

substitute for x in equation 2

4(105-y)+3y=380

420-4y+3y=380

420-y=380

420-380=y

40=y

y=40

x=105-40

x=65

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Related Questions

WHAT IS THE NAME OF THIS FORMULA????

WHAT IS THE NAME OF THIS FORMULA????

Answers

Answer:

Estimation and Confidence Intervals

Step-by-step explanation:

Just found it on a math website basically.

Find the perimeter of this shape

Find the perimeter of this shape

Answers

The perimeter of the given shape as represented in the task content is; 29 cm.

What is the perimeter of the given shape?

It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.

Since each grid line has 1cm as it's length;

The perimeter of the shape is the sum of all side lengths of the shape;

Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1

P = 29 cm

Hence, the perimeter of the shape is; 29 cm.

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Select the correct answer from each drop-down menu. The inequality 5m − 7 > 16 holds true for all numbers _ than _ in the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.

Answers

The values of {m} that is greater than 4.6 represent the solution of the given inequality.

An inequality is used to compare two or more expressions or numbers.

For example -

2x > 4y + 3

x + y > 3

x - y < 6

The given inequality is -

5m - 7 > 16

Adding 7 on both sides, we get -

5m - 7 + 7 > 16 + 7

5m > 23

m > 23/5

m > 4.6

Therefore, the values of {m} that is greater than 4.6 represent the solution of the given inequality.

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D varies as R and S, and inversely as t. D=12, R=3, S=20, and t=5, find D when R=15, S=4 and t=8.

Answers

Answer:

d = 7.5

Step-by-step explanation:

Given that,

D varies as R and S, and inversely as t. It can be written as :

\(D=\dfrac{kRS}{t}\)

Where

k is constant of proportionality

Put D=12, R=3, S=20, and t=5 to find k. So,

\(k=\dfrac{Dt}{RS}\\\\k=\dfrac{12\times 5}{3\times 20}\\\\k=1\)

Now put R=15, S=4, k=1 and t=8 to find D. So,

\(D=\dfrac{1\times 15\times 4}{8}\\\\D=7.5\)

Hence, the value of d is equal to 7.5.

A species of animal is discovered on an island. Suppose that the population size of the species can be modeled by the following function, where time t is measured in years. P(t) = 520/1 + 8e-0.3t Find the initial population size of the species and the population size after years.

Answers

Answer:

The initial population size is of 58.

The population size of the specie after t years is given by:

\(P(t) = \frac{520}{1 + 8e^{-0.3t}\)

Step-by-step explanation:

Population size of the specie:

The population size of the specie after t years is given by:

\(P(t) = \frac{520}{1 + 8e^{-0.3t}\)

Initial population size

This is P when \(t = 0\), that is, \(P(0)\). So

\(P(0) = \frac{520}{1 + 8e^{-0.3*0} = \frac{520}{1+8} = \frac{520}{9} = 57.7\)

Rounding to the nearest number, 58

The initial population size is of 58.

Ms.schmidt gav her students the list of number shown below

Answers

Step-by-step explanation:

Can you re-do it and send like an example for it THANK YOU SM

Alex earns $7.50 per hour at his part-time job. Last week he worked 15 hours. This week he worked 21 hours. What is the total amount of money that Alex earned for working these two weeks? ​

Answers

Answer:$270

Step-by-step explanation:

Alex earns 7.50 per hour he worked 15 hours last week and 21 this week so 15+21=36 and since it is 7.50 per hour you multiply that and get $270

Please help it is algebraic properties of limits!

Answers

Answer:

Hi, I'd be happy to help. Is there a photo you can attach of the problem you need help with?

A triangle has side lengths of 12 centimeters, 12 centimeters, and 18 centimeters. What kind of triangle is it?​

Answers

Answer:

isosceles triangle

Step-by-step explanation:

2 sides the same

Gabriel is designing a rectangular planter box for their garden. It needs to cover an area of 15 1/2 m. Gabriel wants it to be 7 3/4m long. How wide does the planter box need to be?

Answers

Answer:

2m wide

Step-by-step explanation:

\(a=lw\)

\(15\frac{1}{2} =7\frac{3}{4} w\)

\(\frac{31}{2} =\frac{31}{4} w\)

\(w=\frac{\frac{31}{2} }{\frac{31}{4} } =\frac{(31)(4)}{(31)(2)} =2\)

wide = 2m

Hope this helps

An exterior angle of a regular convex polygon is 40°. What is the number of sides of the polygon?

A. 8

B. 9

C. 10

D.11

Answers

Answer:

option B

Step-by-step explanation:

Sum of interior angles of a polygon with n sides:

                                                                          \(= (n - 2 )\times 180\)

\(Therefore, Each \ interior \ angle = (\frac{n - 2}{n} )\times 180\)

\(Sum \ of \ one \ of \ the \ interior \ angle \ with \ its \ exterior \ angle \ is \ 180^\circ\)

                      \([ \ because \ straight \ line \ angle = 180^\circ \ ]\)

That is ,

\(Exterior \ angle + Interior \ angle = 180^\circ\\\\40^ \circ + (\frac{n-2}{n}) \times 180 = 180^\circ\\\\40 n + 180n - 360 = 180n\\\\40n = 180n - 180n + 360 \\\\40n = 360 \\\\n = 9\)

OR

Sum of exterior angles of a regular polygon = 360

Given 1 exterior angle of the regular polygon is  40

Therefore ,

               \(n \times 40 = 360\\\\n = \frac{360}{40} \\\\n = 9\)

Answer:

9

Step-by-step explanation:

An exterior angle of a regular convex polygon is 40. What is the number of sides of the polygon?A. 8B.

A cylinder has a height of 18 cm and a diameter of 12 cm. Calculate the surface area of the cylinder. Give your answer to the nearest integer.​

Answers

The surface area of the cylinder is 905 square centimeters

Finding the surface area of the cylinder

From the question, we have the following parameters that can be used in our computation:

Diameter, d = 12 cm

Height, h = 18 m

This means that

Radius, r = 12/2 = 6 cm

Using the above as a guide, we have the following:

Surface area = 2πr(r + h)

Substitute the known values in the above equation, so, we have the following representation

Surface area = 2π * 6 * (6 + 18)

Evaluate

Surface area = 905

Hence, the surface area is 905 square centimeters

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A biologist is recording the loss of fish in a pond. He notes the number of fish, f, in the pond on June 1. On July 1 there were 63 fish in the pond, which is 52 fewer fish than were in the pond on June 1. What is the number of fish in the pond on June 1?

Which equation can be used to find the number of fish in the pond on June 1?


63−f=52

f−52=−63

f−52=63

f−63=−52

Answers

Answer:

the correct answer should be f-52=63

Step-by-step explanation:

If the weather in City A decreased constantly through the night from
5:00 PM to 9:00 PM, what is the rate of decrease of the weather in
degrees per hour if the temperature dropped from 20 degrees to 12
degrees?

A) 2
B) -2
C) 8
D) -8
E) 1

Answers

The rate of decrease of the weather in degrees per hour is 2 degrees.

Equations

The time elapsed is from 5:00 PM to 9:00 PM, which is 4 hours.

The temperature dropped from 20 degrees to 12 degrees, which is a change of -8 degrees.

Therefore, the rate of decrease of the weather in degrees per hour is:

-8 degrees / 4 hours = -2 degrees per hour

What is rate of change of temperature?

A measurement of how quickly the temperature changes over time is the rate of change. Depending on the time frame being considered, it is typically represented in units of degrees per hour, degrees per minute, or degrees per second. Depending on whether the temperature is rising or falling, the rate of temperature change can be either positive or negative. The temperature rises when the rate of change is positive; it falls when the rate of change is negative.

Many variables, including the amount of sunlight, wind speed, humidity, and the time of day, have an impact on the pace of temperature change. Generally speaking, temperature varies more quickly during the day than it does at night, and it varies more quickly in places with less foliage and more exposed ground. Human activity, such as the emission of greenhouse gases into the atmosphere, which can eventually lead to an increase in global temperatures, can also have an impact on the pace of change of temperature.

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i need serious help someone pleaseeeee

i need serious help someone pleaseeeee

Answers

The value of c in the polynomial is - 7.

How to solve polynomials?

The polynomial is given as follows:

p(x) = 2x³ - x² +  cx + 2 . The value of c if x - 2 is a factor of p(x) can be computed as follows:

Therefore,

p(x) = 2x³ - x² +  cx + 2

when x - 2 is a factor, p(x) = 0

Therefore,

0 = 2x³ - x² +  cx + 2

Hence,

2(2)³ - (2)² +  2c + 2 = 0

16 - 4 + 2c + 2 = 0

12 + 2 + 2c  = 0

2c = - 14

divide both sides by 2

c = - 14 / 2

c = - 7

Therefore,

c = -7

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Find the slope of the line that passes through all of the points
on the table.

Someone help I’ll give brainliest

Find the slope of the line that passes through all of the pointson the table.Someone help Ill give brainliest

Answers

Answer:

9

Step-by-step explanation:

Slope is rise over run, and we can see on the char that every time the x-value increases by 1, the y-value increases by 9, so the slope is 9/1, or 9.

15 pies a m regla de 3

Answers

Answer:

5m

Step-by-step explanation:

regla de 3:

1m = 3ft

15 pies ÷ 3 = 5m

If I worked from 2:30pm to 7:00pm. How many hours did work?

Answers

Answer:

4.5 hours

Step-by-step explanation:

fbdjdbercyTxxivdu

Answer:

Basically You are asking how many hours we need to reach 7:00, if we are at 2:30, so: we need 4hours, to reach 6:30, and and extra 30minutes to reach 7:00pm. The answer is 4hours and 30minutes.

Solve the following linear equation and simplify your answer.

8z−6=−2(−4z+3)

Answers

Answer:

Step-by-step explanation:

8z-6=-2(-4+3)

8z-6=8z-6

on transposing,

8z-8z-6+6=0

Find the 8th term of the geometric sequence –4, 12, –36, 108, –324,

Answers

Answer:

pls mark me as brainliest

Step-by-step explanation:

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by

3

gives the next term. In other words,

a

n

=

a

1

r

n

1

.

Geometric Sequence:

r

=

3

This is the form of a geometric sequence.

a

n

=

a

1

r

n

1

Substitute in the values of

a

1

=

4

and

r

=

3

.

a

n

=

(

4

)

(

3

)

n

1

Remove parentheses.

a

n

=

4

3

n

1

Substitute in the value of

n

to find the

n

th term.

a

8

=

4

3

(

8

)

1

Subtract

1

from

8

.

a

8

=

4

3

7

Raise

3

to the power of

7

.

a

8

=

4

2187

Multiply

4

by

2187

.

a

8

=

8748

uestion
Estimate √283 between two consecutive whole numbers.

Answers

Answer: The square root of 283 lies between the square roots of 256 and 324, which are 16 and 18, respectively. Therefore, an estimate for the square root of 283 is between 16 and 18, and we can round to the nearest whole number, which is 16.

Step-by-step explanation:

Find value of x in trapezoid

Find value of x in trapezoid

Answers

Answer:

  x = 1

Step-by-step explanation:

You want to know the value of x in the trapezoid with adjacent angles (43x+2)° and 135°.

Supplementary angles

The two marked angles can be considered "consecutive interior angles" where a transversal crosses parallel lines. As such, they are supplementary.

  (43x +2)° +135° = 180°

  43x = 43 . . . . . . . . . . . . . . divide by °, subtract 137

  x = 1 . . . . . . . . . . . . . . . divide by 43

The value of x is 1.

__

Additional comment

Given that the figure is a trapezoid, we have to assume that the top and bottom horizontal lines are the parallel bases.

<95141404393>

a =14.6 rounded to 1 DP
b= 3.25 rounded to 2 DP
Find the maximum of a - b

Answers

Answer:

11.405

Step-by-step explanation:

When rounding numbers, check the digit to the right of the one you're rounding to:

If it is 0, 1, 2, 3 or 4 round downIf it is 5, 6, 7, 8 or 9 round up

If a = 14.6 is rounded to 1 decimal place then:

minimum value of a = 14.55   (rounds up to 14.6)maximum value of a = 14.649999...   (rounds down to 14.6)

If b = 3.25 is rounded to 2 decimal places then:

minimum value of b = 3.245   (rounds up to 3.25)maximum value of b = 3.2549999...   (rounds down to 3.25)

Therefore, to find the maximum value of a - b, subtract the smallest value of b from the largest value of a:

\(\implies \sf a_{max}-b_{min}=14.649999...-3.245=11.405\)

A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 5% vinegar, and the second brand contains 15% vinegar. The chef wants to make 240 milliliters of a dressing that is 9% vinegar. How much of each brand should she use?

Answers

Let’s call the two concentrated vinegars A and B. Instead of dealing with the 240ml, let’s instead think about what proportion of each vinegar we would want to use. If we used half of each, we’d end up with a vinegar concentration of (5%+15%)/2 which is 10%. That’s too high for our goal.

What about (5%+5%+15%)/3? That’s 8.33% which is too low for our goal.

What if we used a fifth of A, a fifth of B, a fifth of A, a fifth of B, and another fifth of A? We’d get (5%+15%+5%+15%+5%)/5 which is 9%. That’s 240/5*3 (144ml) of A and 240/5*2 (96ml) of B. I sort of stumbled upon this by chance while thinking about examples of distributions, but we should probably have a more strategic method of dealing with the issue.

Let’s write an equation to describe the vinegar concentrations. You may automatically want to say we have two unknown amounts of vinegar we plan to use for A and B:
x millimetres of A times it’s concentration of 5% plus y millilitres of B times it’s concentration 15% should equal 240ml times a 9% concentration
x * 5% + y * 15% = 240*9%

That is, x and y are the volumes of vinegar A and B that we need to use to make 15% vinegar. Of course, we don’t know them yet (and are trying to determine them) so we write them as variables x and y. Unfortunately, we have two unknowns and therefore we cannot solve this equation!

There’s a missing story our equation doesn’t tell. Our chef only wants 240ml of the concoction, and therefore we are choosing between the trade offs of each. If I use 240ml of A, I can’t add any of B because the chef only wants 240ml. If I only use 120ml of A, how much of B will I add? 120! Yes. And if I only add 40ml of A? Well, then I’ll need to add 180ml of B. So in a way, we can’t choose how much of the other vinegar to add - because it’s whatever amount we aren’t using of A. Therefore, y=240-x because the volume of y is the remaining volume we still need to add!

Let’s rewrite our equation subbing in y:
5%*x+ 15%*(240-x)= 240*9%
The percentage signs are bothering me so let’s multiply through by 100.
5x+15(240-x)=240*9
I’m gonna divide by 5 to make my life easier.
x+3(240-x)=48*9
x+720-3x=432
-2x=-288
x=144ml

Therefore, y=240-144=96ml.

To summarise, we had two equations:
5%*x+ 15%*(y)= 240*9% (1)
y=240-x (2)

Which were combined to solve for x, the concentration of A. We used the solution for x to find y using equation (2). We knew equation (2) because y is the compliment of x, and x plus y must equal 240ml.

Help

Identify the equation that represents a quadratic relationship
y =4x^2
y =4x^4
y =4x^3
y =4

Answers

The equation that represents a quadratic relationship is y = 4x^2. Option A.

A quadratic relationship is a mathematical relationship where the variable y is a function of the variable x raised to the power of 2. In other words, it is an equation in which the highest power of the variable is 2.

Let's analyze the given equations:

1. y = 4x^2: This equation represents a quadratic relationship because the variable x is raised to the power of 2. The term 4x^2 indicates that the relationship between x and y is quadratic.

2. y = 4x^4: This equation represents a quartic relationship, not a quadratic relationship. The variable x is raised to the power of 4, which indicates a higher degree relationship than quadratic.

3. y = 4x^3: This equation represents a cubic relationship, not a quadratic relationship. The variable x is raised to the power of 3, indicating a higher degree relationship.

4. y = 4: This equation represents a linear relationship, not a quadratic relationship. It is a constant equation where y is always equal to 4, regardless of the value of x. In a quadratic relationship, the variable x should have a power of 2. Option A.

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I need help finding the value of z!

I need help finding the value of z!

Answers

Answer:

thus

Step-by-step explanation:

Korelasi Rank Spearman digunakan untuk mencari hubungan atau untuk menguji signifikansi hipotesis asosiatif bila masing-masing variabel yang dihubungkan berbentuk Ordinal.

A jar contains 7 red marbles and 10 blue marbles. What is the probability of choosing a blue marble?

This answer should be written as a decimal. Answer to two decimal places.

Answers

The probability of choosing a blue marble is 0.59.

What is probability?

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.

The jar contains 7 red marbles and 10 blue marbles.

The probability of choosing a blue marble will be:

= Number of blue marbles / Total marbles

= 10/17

= 0.59

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WILL GIVE BRAINLIEST 50 POINTS
∆ABC is mapped to ∆A'B'C' using each of the given rules in the table below. Place a checkmark in the correct column for each mapping to state if the resulting mapping would make ∆ABC congruent or not congruent to ∆A'B'C'.
∆ABC is congruent to ∆A^' B^' C'
∆ABC is NOT congruent to ∆A^' B^' C'

(x,y) → (x+5,y)

(x,y) → (5x,5y)

(x,y) → (.5x,.5y)

(x,y) → (x,-y)

(x,y) → (-x,-y)

WILL GIVE BRAINLIEST 50 POINTS ABC is mapped to A'B'C' using each of the given rules in the table below.

Answers

Answer:

(x+5,y) = Yes

(5x,5y) = No

(.5x,.5y) = No

(x,-y) Yes

(-x,-y) Yes

Step-by-step explanation:

Which is one condition that must be present for an inverse relation to be a function?
A. The function must be a straight line. The function must be a straight line.
B. The function must pass the vertical line test. The function must pass the vertical line test.
C. The inverse relation must be a straight line. The inverse relation must be a straight line.
D. The inverse relation must pass the vertical line test.

Answers

the correct option is D:

" The inverse relation must pass the vertical line test."

Which is one condition that must be present for an inverse relation to be a function?

Remember that a relation is only a function if each value in the domain is only mapped into a single value in the range.

All functions need to pass what is called the "vertical line test" this means that if you draw a vertical line on the graph of the function, the vertical line can intersect the graph at most one time. If the vertical line intercepts the graph two or more times, then it is not a function.

From this we conclude that the correct option is D:

" The inverse relation must pass the vertical line test."

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Write a problem in which $180 would be a reasonable answer​

Answers

Answer: Word problem: Mya goes to a carnival and buys food for her and her friends.  She buys 5 funnel cakes that were $20 each. She buys 10 buckets of popcorn that were 8 dollars each.

Regular problem: $20+$15+$20+$100+$25=180

Step-by-step explanation: I didn't know what you needed. I'm sorry if that's not it, but hope it helps.

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