A total of 308 tickets were sold for the school play. they were either adult tickets or student tickets. the number of student tickets sold was three times the number of adult tickets sold. how many adult tickets were sold?

Answers

Answer 1

77 bilhetes de adultos
231 bilhetes de estudantes

Answer 2

Follow below steps;

The student is asking how many adult tickets were sold for a school play if a total of 308 tickets were sold and the number of student tickets sold was three times the number of adult tickets sold. To solve this problem, we will use algebra to set up an equation.

Let's define x as the number of adult tickets sold. Since the number of student tickets is three times that amount, we can say that 3x represents the number of student tickets sold. The total number of tickets sold is the sum of adult and student tickets, which is given by the equation x + 3x = 308.

To find the value of x, we combine like terms:

x + 3x = 4x4x = 308x = 308 \/ 4x = 77

Therefore, the number of adult tickets sold was 77.

Related Questions

The sum of two consecutive odd integers is 244. what is the smaller integer? (1 point) 119 125 123 121

Answers

2 consecutive odd integers....x and x + 2

x + x + 2 = 244
2x + 2 = 244
2x = 244 - 2
2x = 242
x = 242/2
x = 121

x + 2 = 121 + 2 = 123

ur numbers are 121 and 123 with the smallest one being 121

Evaluate the expression. Must rewrite the expression without the exponent before evaluating (-12)^2

Answers

(-12)^2 = -12 * -12 = 144

Answer:

(-12)^2 = -12 * -12 = 144

Which figures can be precisely defined by using only undefined terms? Check all that apply. angle arc circle line segment parallel lines

Answers

Angle, parallel lines figures which can be precisely defined by using only undefined terms angles and parallel lines.

Answer:

circle, line segment, and parallel lines

Step-by-step explanation:

A circle is the set of all points a given distance from a fixed point called a center. This only uses the undefined term "point."

A line segment is a portion of a line with two distinct endpoints. This uses the undefined terms "line" and "point."

Parallel lines are lines that never intersect. This uses the undefined term "line."

An angle is two rays joined at a common point called the vertex. While this does use the undefined term "point," it also uses the defined term "ray." This is not one of our options.

An arc is a portion of the circumference of a circle. This uses the term "circle," so it is not one of our options.

help. what's 400-20 + 40 divided by 2 + 210 = ?

Answers

Answer:

420

Step-by-step explanation:

400 - 20 = 380 + 40 = 420 ÷ 2 = 210 + 210 = 420.

Hey there!

400 - 20 + 40 ÷ 2 + 210

400 - 20 = 380

380 + 40 ÷ 2 + 210

40 ÷ 2 = 20

380 + 20 + 210

380 + 20 = 400

400 + 210 = 610

Answer: 610 ✅

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

.3333... = 1/3. What is .23232323... = as a fraction?

Answers

when .23232323.... is converted into a fraction it would be 23/99.

Answer:121

Step-by-step explanation:

In England, mass is measured in units called stones. One pound equals 1/14 of a stone. A cat weighs 3/4 stone. How many pounds does the cat weigh?

Answers

[tex]\bf \begin{array}{ccll} stones&lbs\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ \frac{1}{14}&1\\\\ \frac{3}{4}&p \end{array}\implies \cfrac{\quad \frac{1}{14}\quad }{\frac{3}{4}}=\cfrac{1}{p}\implies \cfrac{1}{14}\cdot \cfrac{4}{3}=\cfrac{1}{p} \\\\\\ \cfrac{2}{21}=\cfrac{1}{p}\implies p=\cfrac{21\cdot 1}{2}\implies p=\cfrac{21}{2}\implies p=10\frac{1}{2}[/tex]

How many minutes are there in a 40 hours week?

Answers

60 minutes times 40 hours equals 2400 minutes

A company added a new oil thank that holds 350 barrels of oil than its old oil tank.together they hold 3650 barrels of oil.how much does each thank hold?

Answers

Let's assume, Capacity of old oil tank = x Capacity of New oil tank = x + 350 barrels From the problem, x + x + 350 = 3650 2x = 3300 x = 1650 barrels Answer: Capacity of old oil tank = 1650 barrels Capacity of New oil tank = 2000 barrels

The required solution of the given question is Capacity of old oil tank and Capacity of New oil tank is 1650 and 2000 barrels respectively.

What is arithmetic?

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

A company added a new oil thank that holds 350 barrels of oil than its old oil tank . Together they hold 3650 barrels of oil.

According to given question we have

Let the Capacity of old oil tank = x barrels

Let the Capacity of New oil tank = x + 350 barrels

So,

x + x + 350 = 3650

2x = 3300

x = 1650 barrels

∴Capacity of old oil tank = 1650 barrels

Capacity of New oil tank

= x + 350

=1650 +350

=2000 barrels

Therefore, the required solution of the given question is Capacity of old oil tank and Capacity of New oil tank is 1650 and 2000 barrels respectively.

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Drawn
two arrays that represent 12

Answers

Final answer:

An array can be utilized to represent the multiplication of two numbers in Mathematics. In this representation, the number 12 can be depicted by a 3x4 or 2x6 arrays. There can be various arrays to represent a number such as 12.

Explanation:

In mathematics, specifically in multiplication, arrays are often used to represent and visualize the multiplication of two numbers. The number 12 can be represented by an array in multiple ways, here we will use two ways:

A 3 rows by 4 columns array, which represents the equation 3 times 4 equals 12. You have 3 rows and 4 columns, so when you count every spot where a row and column intersect, you get 12.A 2 rows by 6 columns array, which represents the equation 2 times 6 equals 12. You have 2 rows and 6 columns, if you count every intersection, you get 12.

Remember, for any number, there can be multiple arrays that represent it. For the number 12, for instance, other arrays such as 1 row by 12 columns (1x12) or 12 rows by 1 column (12x1) are possible as well.

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what statement best describes inductive reasoning vs deductive reasoning

Answers

Inductive reasoning works from the root and extends outwards. That is, it starts from the conclusion, then makes premises out of this conclusion. This is opposite to deductive reasoning. The process works from the outside down to the root cause. So, you lay out all the premises first, then deduce the conclusion.

A manufacturer of bicycles has 4802 wheels, 2299 frames, and 2249 handlebars. (a) how many bicycles can be manufactured using these parts?

Answers

You can make 2250 bikes.

There's also 304 wheels, 50 frames, 0 handlebars left

Hope I helped :)

In the diagram below bd is parallel to xy what is the value of x

Answers

It’s 83

Step-by-step explanation:

On Monday, a local hamburger shop sold a combined total of 504 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Monday?

Answers

168 hamburgers were sold on Monday.

What is the sum of the first 10000 numbers?

Answers

sum = 10000(10000-1)/2

sum = 10000(100001)/2

sum = 100010000/2

sum = 50,005,000

(10000+1) * (10000/2) = 50,005,000

A fair coin is tossed 100,000 times. the number of heads is recorded. what is the probability that there are between 49,800 and 50,200 heads?

Answers

Using normal approximation: mean = 50,000, standard deviation = 500. Calculate Z-scores, find probabilities, and subtract. Result ≈ 0.3108.

To find the probability of getting between 49,800 and 50,200 heads when a fair coin is tossed 100,000 times, we can use the normal approximation to the binomial distribution since the number of trials is large.

The mean (μ) of a binomial distribution is given by n*p, where n is the number of trials and p is the probability of success (getting heads for a fair coin). In this case, n = 100,000 and p = 0.5, so μ = 100,000 * 0.5 = 50,000.

The standard deviation (σ) of a binomial distribution is given by sqrt(n*p*(1-p)). For this problem, σ = sqrt(100,000 * 0.5 * 0.5) = sqrt(25,000) = 500.

Now, we can use the normal distribution to approximate the probability of getting between 49,800 and 50,200 heads:

Z1 = (49,800 - μ) / σ = (49,800 - 50,000) / 500 = -0.4

Z2 = (50,200 - μ) / σ = (50,200 - 50,000) / 500 = 0.4

Now, we look up the corresponding probabilities for Z1 and Z2 in the standard normal distribution table (or use a calculator):

P(Z < -0.4) ≈ 0.3446

P(Z < 0.4) ≈ 0.6554

So, the probability of getting between 49,800 and 50,200 heads is approximately P(49,800 ≤ X ≤ 50,200) = P(-0.4 ≤ Z ≤ 0.4) = P(Z < 0.4) - P(Z < -0.4) ≈ 0.6554 - 0.3446 ≈ 0.3108.

Therefore, the probability is approximately 0.3108.

Lee can frame a cabin in 4 days less than Ron. When they work together, they will do the job in 4 days. How long would each of them take to frame the cabin alone?

Answers

It takes Lee 8 days and Ron 12 days.

To frame a cabin:

Lee will take 6.47 days and Ron will take 10.47 days.

What is a quadratic equation?

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

Lee can frame a cabin in 4 days less than Ron.

Ron can frame,

= 1 cabin/(x+4) days.

Lee can frame,

= 1 cabin/(x) days.

When they work together, they will do the job in 4 days.

That means,

4/x+4 + 4/(x) = 1

4(x+4+x)/x(x+4) = 1

x²-4x-16 = 0

Solving the quadratic equation,

x = 2 ± 2√5

Then,

x = -2.47 and x = 6.47.

Therefore, Lee can frame a cabin in 6.47 days and Ron will take 10.47 days.

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whats an irrational number between 9.7 and 9.9

Answers

9.5 < x < 9.7
square it
9.52<x2<9.72
90.25<x2<94.09
So pick any number between 90.25 and 94.09 to be x2, as long as it's not a perfect square. So if you pick 91, then
x2=91
x=91−−√→ irrational
approximation is 9.54

In a city, the distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station. The distance between the library and the police station is 5 miles. How far apart are the police station and the fire station?

Answers

5 - 3= 2 x 2

4 miles

Find an equivalent mixed number for the decimal number 16.3

Answers

Answer:16 3/10

Step-by-step explanation:

Solving equations 6x+7=8x–13

Answers

Solve for x by simplifying both sides of the equation then isolate the variable your answer is x=10.

Greetings!

"Solving equation:[tex]6x+7=8x-13[/tex]?"...

Solve for x.
[tex]6x+7=8x-13[/tex]
Add 13 to both sides.
[tex](6x+7)+13=(8x-13)+13[/tex]
Simplify
[tex]6x+20=8x[/tex]
Subtract both sides by 6x.
[tex](6x+20)-6x=(8x)-6x[/tex]
Simplify.
[tex]20=2x[/tex]
Divide both sides by 2.
[tex](20)/2=(2x)/2[/tex]
Simplify.
[tex]10=x[/tex]

The answer would be 10.

Hope this helps.
-Benjamin

Mari and Jen each work 20 hours a week at different jobs. Mari earns twice as much as Jen. Together they can earn $480. How much does each girl earn in a week?

Answers

Hey there!

In word problems, remember that not every number they give you is important. For example, here, they tell you that they both work 20 hours a week. This information isn't important in creating an equation to represent the situation.

Let's say that x is the amount that Jen makes. Therefore, 2x will be the amount that Mari makes since she makes twice as much as Jen. Together, the amounts they make adds up to 480, meaning that the entire equation will be:

x + 2x = 480

All we need to do is solve this for x, plug x back into the equation, and solve.

1x + 2x = 480 (combine 1x and 2x)
3x = 480 (divide both sides by 3)
x = 160

Now, plug 160 in for x in the original equation to check and solve for how much Mari makes (she's represented by 2x).

160 (Jen) + 2(160) (Mari) = 480
160 (Jen) + 320 (Mari) = 480
480 (Jen + Mari) = 480

Jen makes $160 a week and Mari makes $320 a week.

Hope this helped you out! :-)

A light on a computer comes for 26700 microseconds is 10-6 seconds.
Workout the length of time ,in seconds,that the light is on.

A) in standard form,
B)as a decimal

Answers

26700 microseconds = 0.00267 seconds.

A) 2.67 x 10^-3
B) 0.00267 seconds.

A) In standard form, the length of time the light is on is [tex]2.67 \times 10^{-2} \text{ seconds}[/tex]

B) As a decimal, the length of time the light is on is [tex]0.0267 \text{ seconds}[/tex]

Step 1: Understanding the conversion

1 microsecond ([tex]\mu s[/tex]) is equal to [tex]10^{-6}[/tex] seconds.Therefore, 26700 microseconds is equal to [tex]26700 \times 10^{-6}[/tex] seconds.

Step 2: Converting microseconds to seconds

First, let's calculate the time in seconds as a decimal:
[tex]26700 \times 10^{-6} = 0.0267[/tex]

Step 3: Converting seconds to standard form

Standard form (also known as scientific notation) expresses numbers as a product of a number between 1 and 10 and a power of 10.

Here, [tex]0.0267[/tex] can be written as:
[tex]2.67 \times 10^{-2}[/tex]

If K is between J and L then JK + KL = JL

Answers

By setting up an equation based on the fact that K is between J and L, we found that x = 6. Substituting this value back into the expression for KL, we determined that KL = 8.

To find the value of x and KL, we'll first set up an equation using the fact that K is between J and L, which means JL = JK + KL. Substituting the given expressions:

5x - 10 = 2x + (x + 2)

Now, solve for x:

[tex]\[5x - 10 = 2x + x + 2\][/tex]

[tex]\[5x - 10 = 3x + 2\][/tex]

[tex]\[5x - 3x = 2 + 10\][/tex]

[tex]\[2x = 12\][/tex]

[tex]\[x = 6\][/tex]

Now that we have found the value of [tex]$x$[/tex], we can find [tex]$KL$[/tex] by substituting $x = 6$ into the expression for KL:

[tex]\[KL = x + 2 = 6 + 2 = 8\][/tex]

So, x = 6 and KL = 8.

The question probable maybe:

Find the value of x and KL if K is between J and L. JK=2x, KL=x+2, and JL=5x-10.

Lorraine invested $5500 in a savings account with a yearly interest rate of 6% for 9 years. How much simple interest did she earn?

Answers

Lorraine earned $2970 in simple interest over the 9 years.

We can use the formula for simple interest, which is:

[tex]\[ I = P \times r \times t \][/tex]

where:

[tex]$ I $[/tex] is the interest earned,

[tex]$ P $[/tex] is the principal amount (the initial amount of money),

[tex]$ r $[/tex] is the annual interest rate (in decimal form), and

[tex]$ t $[/tex] is the time the money is invested for, in years.

Given:

[tex]$ P = \$5500 $[/tex] (the principal amount),

[tex]$ r = 6\% $[/tex] per year (which we convert to a decimal by dividing by 100.

[tex]$ r = 0.06 $[/tex]

[tex]$ t = 9 $[/tex] years (the time period).

Now, we can calculate the simple interest:

[tex]\[ I = \$5500 \times 0.06 \times 9 \][/tex]

[tex]\[ I = \$5500 \times 0.54 \][/tex]

[tex]\[ I = \$2970 \][/tex]

What is the surface area to volume ratio of this cube ( 5cm on all sides)

Answers

check the picture below.

so, the cube is really, just a rectangular prism, which is really just 6 rectangles stacked up to each other at the edges.

so, the area of it is just the area of those sides

top and bottom 5x5, 25 each
left and right, 5x5, 25 each
front and back, 5x5, 25 each

so the area is 50+50+50, or 150 cm²

the volume is either face, times the length, so just 25 * 5, or 125 cm³.

now, let's check their ratio. [tex]\bf \cfrac{area}{volume}\qquad 150:125\implies \cfrac{150}{125}\implies \cfrac{6}{5}[/tex]

Final answer:

The surface area to volume ratio for a cube with sides of 5 cm can be calculated using the formulas for surface area and volume of a cube. After calculating, the ratio is found to be 1.2 cm^-1.

Explanation:

The concept you're asking about relates to both geometry and biology, particularly cell biology. The surface area to volume ratio is important in determining how substances move in and out of cells.

To calculate the surface area and volume of a cube with sides measuring 5 cm, we use these two formulas:

Surface Area (SA) = 6 x (side length)^2Volume (V) = (side length)^3

Substituting 5 cm into these formulas, we get:

SA = 6 x (5 cm)^2 = 6 x 25 cm^2 =150 cm^2V = (5 cm)^3 = 125 cm^3

Finally, to get the surface area to volume ratio, divide the surface area by the volume:

SA:V Ratio = SA/V = 150 cm^2/125 cm^3 = 1.2 cm^-1

So, the surface area to volume ratio for a cube with sides of 5 cm is 1.2 cm^-1.

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A pair of parallel lines is cut by a transversal:

What is the measure of angle x?

60 degrees
70 degrees
80 degrees
100 degrees

Answers

x = 80 - 20
x = 60

answer
60 degrees

compare the values of each 3 in the number 633,248

Answers

633,248.
The difference of each 3 is that they have different place values.
The 3 on the right side is int he 1000s (thousands) place, and the 3 on the left is in the 10,000s (ten thousands) place. :)

The one in the 10,000s place is 10 times larger than the one in the 1,000s place!

The second 3 is in the Ten thousand place which is 10 times larger than the first 3 which is in the Thousand place.

Here,

The number is 633,248.

We have to compare the values of each 3 in the number 633,248.

What is Place value?

The value represented by a digit in a number on the basis of its position in the number is called the place value.

Now,

The number is 633,248.

From right the first 3 has place in Thousand place.

So, place value of this 3 is thousands place.

And, From right the second 3 has place in Ten thousands place.

The difference of each 3 is that they have different place values.

Therefore, The second 3 is in the Ten thousand place which is 10 times larger than the first 3 which is in the Thousand place.

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Find the slope and Y intercept for 6x - 2y=12

Answers

Convert into point slope form

6x-2y=12
-2y=-6x+12
y= 3x-6

Final answer: slope= 3, y intercept= -6

f(x)=(x)^2 is vertically stretched by a factor of 4 and translated 4 units left to create g(x)

Answers

[tex]\bf \qquad \qquad \qquad \qquad \textit{function transformations} \\ \quad \\\\ % left side templates \begin{array}{llll} f(x)=&{{ A}}({{ B}}x+{{ C}})+{{ D}} \\ \quad \\ y=&{{ A}}({{ B}}x+{{ C}})+{{ D}} \\ \quad \\ f(x)=&{{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}} \\ \quad \\ f(x)=&{{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}} \\ \quad \\ f(x)=&{{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}} \end{array}\\\\ --------------------\\\\[/tex]

[tex]\bf \bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\ \bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}\\ \left. \qquad \right. \textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if }{{ B}}\textit{ is negative}\\ \left. \qquad \right. \textit{reflection over the y-axis}[/tex]

[tex]\bf \bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\ \left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\ \left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\ \bullet \textit{ vertical shift by }{{ D}}\\ \left. \qquad \right. if\ {{ D}}\textit{ is negative, downwards}\\\\ \left. \qquad \right. if\ {{ D}}\textit{ is positive, upwards}\\\\ \bullet \textit{ period of }\frac{2\pi }{{{ B}}}[/tex]

[tex]\bf \stackrel{\textit{vertically stretched by a factor of 4}}{A=\frac{1}{4}}\qquad \stackrel{\textit{translated 4 units left}}{C=+4} \\\\\\ f(x)=x^2\implies f(x)=1(1x+0)^2+0\implies f(x)=\stackrel{A}{\frac{1}{4}}(1x\stackrel{C}{+4})^2+0 \\\\\\ f(x)=\frac{1}{4}(x+4)^2[/tex]

what is the counterexample "the difference of two numbers less than the greater number"

Answers

-4 - (-2) = - 2 is one counterexample

The counterexample of the statement "the difference of two numbers is greater than the greater number if the smaller number is greater than twice the additive inverse of the greater number"

How to determine the counterexample?

The statement is given as: "the difference of two numbers less than the greater number"

Let the numbers be x and y, where x > y.

So, the interpretation of the statement is:

x - y < x

Add x to both sides

-y < 2x

Rewrite as:

y > -2x

This means that the statement is true only when the smaller number is greater than twice the additive inverse of the greater number

Hence, the counterexample of the statement "the difference of two numbers is greater than the greater number if the smaller number is greater than twice the additive inverse of the greater number"