You and three friends spend $35 on tickets at the movies.Write and solve an equation to find the price of one ticket

Answers

Answer 1

Answer:

$8.75

Step-by-step explanation:

You and three friends = 4 people

$35 / 4 people = $8.75

The cost of one ticket is $8.75

Hope this helps :)


Related Questions

Translate "the product of z,x,and y into a mathematical expression

Answers

Answer:

Step-by-step explanation:

zxy or xyz or z×x×y

Final answer:

The mathematical expression for 'the product of z, x, and y' is simply 'zxy' or 'z  times x  times y', which indicates that the three variables are being multiplied together to form a product.

Explanation:

To translate "the product of z, x, and y" into a mathematical expression, we represent multiplication using either the multiplication sign (times) or simply by juxtaposition (placing the variables next to each other). Thus, the product of the variables z, x, and y is represented as z  imes x  imes y or simply as zxy. This expression shows that z, x, and y are being multiplied together to give a Mathematical Result.

In mathematics, when expressions are evaluated and produce the same value, they are known as equivalent expressions. For example, the expression (5 - 3xy) is evaluated by following the order of operations, which in this case involves subtracting the product of 3 and xy from 5. If x, y, and z are treated as three independent variables, it is also possible to represent their product in the form of a Multiple or Product, like so: xyz.

Jonathan has $44,200 in a saving account. The interest rate is 7% per year and is not compounded. How much interest will he earn in 3 years?

Answers

The interest that he gains after 3 years is $9282.

Step-by-step explanation:

Step 1: Given details are Principal amount (P) in bank = $44200, Interest rate, R = 7%, Time, T = 3 years. Since interest is not compounded, we have to calculate simple interest.Step 2: Formula for Simple Interest (SI) = PRT/100

⇒ SI = (44200 × 7 × 3)/100

⇒ SI = 442 × 7 × 3

SI = $9282

A study of the annual population of gray squirrels in a Texas state park shows the population, S(t), can be represented by the function S(t) = 273(1.073)t , where the t represents the number of years since the study started. Based on the function, what is the growth rate?
A. 9.9
B. 10.4
C. 10.7
D. 11.2

Answers

Answer:

0.073

Step-by-step explanation:

The question is about growth function and you are asked to find out the growth rate. Growth function has a format of

y = a(1+r)^t

Where

y= future value = S(t)

a= current value = 273

r= growth rate

t= time =t

Since its a growing function, the r will be positive. If its decay function then the r will be negative. As you can see, the growth rate value is located inside the parentheses. The growth rate of the function should be:

(1+r)= (1.073)

r= 1.073- 1

r= 0.073

(3-2x+2x^²)+(4x-5+3x^2

Answers

The answer is: 5 x ^2 + 2 x − 2

What is the remainder when x^6-4x^4+4x^2-10 is divided by x+3

Answers

The remainder x+3 would be 16

Which equation results from adding the equations in this system? 11 x minus 3 y = -17. Negative 4 x + 3 y = - 18.
- 7 x = negative 35
- 7 x = 35
7 x = negative 35
7 x = 35

Answers

Answer:

Therefore the results from adding the equation in this system is

[tex]7x=-35[/tex]

Step-by-step explanation:

Given:

Equations as

[tex]11x-3y=-17[/tex]         .......................1

[tex]-4x+3y=-18[/tex]         .......................2

To Find :

Result when adding equation 1 and 2 = ?

Solution

On adding equation 1 and 2 the "3y" term will get cancel and the like terms will combine that is add (11x and -4x ) and ( -17 and - 18)  as shown below

           11x     -    3y    = -17

           -4x    +   3y     = - 18

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

           7x     + 0        =  - 35

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

Therefore the results from adding the equation in this system is

[tex]7x=-35[/tex]

Answer:

C

Step-by-step explanation:

did test

Write a real world problem you could answer by solving the equation -8+60=28

Answers

"Mitchael owes $8 to his bank, so he decides to add $60 in April at a rate of $2 per day. How many days Mitchael needs in order to get $28 in his account?"

Explanation:

Hello! Remember you have to write clear questions in order to get good and exact answers. The given equation doesn't make any sense so I'll assume the correct one is:

[tex]-8+60x=28[/tex]

So let's write a real world problem you could answer by solving the equation:

"Mitchael owes $8 to his bank, so he decides to add $60 in April at a rate of $2 per day. How many days Mitchael needs in order to get $28 in his account?"

So by isolating x (number of months):

[tex]x=\frac{28+8}{60} \\ \\ x=0.6 \ month \\ \\ \\ Since \ we \ need \ the \ number \ of \ days: \\ \\ April \ has \ 30 \ days, \ so: \\ \\ x-day=0.6\times 30=18 \ days[/tex]

So Mitchael would need 18 days in order to get $28 in his account

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To solve the equation -8+60=28, we follow basic arithmetic by adding the positive payment to the negative debt which gives us 52. This answer indicates an error in the original problem statement, as the expected balance does not match with the calculated one.

A real-world problem that could be answered by solving the equation -8+60=28 might involve a scenario where someone is tracking their financial transactions. Suppose you start with a debt of \(-8 dollars and then receive 60 dollars as a payment of some sort. The question could be to determine how much money you have after receiving the payment. To find out, you would solve the equation to see if your final balance is 28 dollars as expected.

Let's solve this step-by-step:

Add the amount received to the initial debt: \( -8 + 60 \).

Calculate the sum which gives us \( 52 \).

Therefore, after receiving the payment, you have 52 dollars.

To answer the original equation, the final balance should be 28 dollars; however, the solution we found is 52 dollars, indicating there might be a mistake in the original problem statement or the transactions recorded.

9/11 times 7/10 simplified

Answers

63/110 is the answer

How do you find the percent increase from 120 to 144

Answers

Answer:

20%

Step-by-step explanation:

If 120 = 100%

  144 = x

By cross multiplication,

120x = 144 * 100

120x = 14400

x = 14400/120

x = 120%

The percentage increase is 20%

What is 825 kilograms in grams

Answers

Answer:825000

Step-by-step explanation:

Answer:825000

Step-by-step explanation:

825*1000

Solve the following equation: 3x^3+5x^2-4x-4=0

Answers

Answer:

1

Step-by-step explanation:

Simplifying

3x + 2(4x + -4) = 3

Reorder the terms:

3x + 2(-4 + 4x) = 3

3x + (-4 * 2 + 4x * 2) = 3

3x + (-8 + 8x) = 3

Reorder the terms:

-8 + 3x + 8x = 3

Combine like terms: 3x + 8x = 11x

-8 + 11x = 3

Solving

-8 + 11x = 3

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '8' to each side of the equation.

-8 + 8 + 11x = 3 + 8

Combine like terms: -8 + 8 = 0

0 + 11x = 3 + 8

11x = 3 + 8

Combine like terms: 3 + 8 = 11

11x = 11

Divide each side by '11'.

x = 1

Simplifying

x = 1

Evaluate each expression 28-c3+6

Answers

Answer:

28-c3+6=0

Collect like terms

28-6=c3

22=c3

Divide both sides by 3

22/3=c3/3

C=7

Final answer:

To evaluate the expression 28-c3+6, you must know the value of 'c'. Assuming c3 means c cubed, then you would calculate 'c' cubed, subtract it from 28 and then add 6. Without a value for 'c', we cannot compute a definitive answer.

Explanation:

To solve this mathematical expression, we must first understand what c3 means. In this case, 'c' and '3' are variables and without a given value for 'c' we cannot fully evaluate it. However, if we assume that 'c3' means 'c' cubed then, we can proceed with that understanding. Cubing a number means multiplying it by itself twice. For example, if c=2, then c cubed would be 2*2*2=8.

Next step is to follow the rules of the order of operations, often remembered by the acronym PEMDAS - Parentheses, Exponents, Multiplications and Divisions (from left to right), Additions and Subtractions (from left to right).

Therefore, given the expression 28-c3+6, you would first calculate 'c' cubed and then perform the remaining operations from left to right. If 'c' was 2, your expression would look like this: 28-8+6. Following PEMDAS, subtraction comes before addition, so you subtract 8 from 28 which is 20 and then add 6 to that, giving a result of 26. But remember, without knowing the true value of 'c', we cannot definitively solve the expression.

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What is true about the solution of StartFraction x squared Over 2 x minus 6 EndFraction = StartFraction 9 Over 6 x minus 18 EndFraction?
x = plus-or-minus StartRoot 3 EndRoot, and they are actual solutions.
x = plus-or-minus StartRoot 3 EndRoot, but they are extraneous solutions.
x = 3, and it is an actual solution.
x = 3, but it is an extraneous solution.

Answers

Answer:

[tex]x=\pm\sqrt{3}[/tex]  and they are actual solutions

Step-by-step explanation:

we have

[tex]\frac{x^2}{2x-6}=\frac{9}{6x-18}[/tex]

Factor the denominators both sides

[tex]\frac{x^2}{2(x-3)}=\frac{9}{6(x-3)}[/tex]

Simplify

[tex]\frac{x^2}{2}=\frac{9}{6}[/tex]

[tex]x^2=\frac{18}{6}[/tex]

[tex]x=\pm\sqrt{3}[/tex]

Verify

1) For [tex]x=\sqrt{3}[/tex]

[tex]\frac{\sqrt{3}^2}{2(\sqrt{3}-3)}=\frac{9}{6(\sqrt{3}-3)}[/tex]

[tex]\frac{3}{2(\sqrt{3}-3)}=\frac{9}{6(\sqrt{3}-3)}[/tex]

[tex]18=18[/tex] ---> is true

therefore

[tex]x=\sqrt{3}[/tex] ----> is an actual solution

2) For [tex]x=-\sqrt{3}[/tex]

[tex]\frac{-\sqrt{3}^2}{2(-\sqrt{3}-3)}=\frac{9}{6(-\sqrt{3}-3)}[/tex]

[tex]\frac{3}{2(-\sqrt{3}-3)}=\frac{9}{6(-\sqrt{3}-3)}[/tex]

[tex]18=18[/tex] ---> is true

therefore

[tex]x=-\sqrt{3}[/tex]  ----> is an actual solution

therefore

Answer:

The answer is A!

Step-by-step explanation:

In the figure, AE, BF, DG, and HC intersect at point H, and FHG is a right angle.

Somebody help, I don't get this!

Answers

Answer:

1. False

2. True

3. True

Step-by-step explanation:

1. ∠AHB and ∠AHG are vertical angle       False

2.∠EHF and ∠DHE are adjacent angle      True

3. The measure of ∠FHG is equal to the measure ∠DHF  True

Solve the equation below
3x—5(x+2)=-40

Answers

Answer:

x = 15

Step-by-step explanation:

Step 1:  Distribute

3x - 5(x) - 5(2) = -40

3x - 5x - 10 = -40

Step 2:  Combine like terms

-2x - 10 = -40

Step 3:  Add 10 to both sides

-2x - 10 + 10 = -40 + 10

Step 4:  Divide both side by -2

-2x / -2 = -30 / -2

x = 15

Wh

at is 15,000:00 in ratio of 5:3

Answers

Answer:

  9375 : 5625

Step-by-step explanation:

The total of the ratio units is 5+3=8, so each ratio unit stands for ...

  15000/8 = 1875

Multiply each number of ratio units by this value to get your division:

  5(1875) : 3(1875) = 9375 : 5625

seven and two hundred sixty-seven ten thousandths as a decimal

Answers

7.0267

Step-by-step explanation:

The clue here is that the decimal point follows after the "and"

For example,

One and one thousandth = 1 + 1/1000 = 1.001

One and two hundred sixty-three thousandths = 1+ 263/1000 = 1.263

Hence;

seven and two hundred sixty-seven ten thousandths= 7+ 267/10000= 7.0267

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The formula below is used to convert a temperature in degrees Celsius,C, to a
temperature in degrees Fahrenheit, F.
F= 1.8C + 32
on temperature in a mountain city was 15°C. What was the high temperature in
degrees Fahrenheit?​

Answers

Answer:

is

47 degree fahrenheit

The high temperature in degrees Fahrenheit was [tex]\( 59^\circ \)[/tex] Fahrenheit.

To convert a temperature from Celsius to Fahrenheit using the formula  F = 1.8C + 32, where F is the temperature in Fahrenheit and C is the temperature in Celsius, you simply plug in the value of C and solve for F.

Given that the high temperature in the mountain city was [tex]\( 15^\circ \)[/tex] Celsius, we can plug this value into the formula:

F = 1.8 * 15 + 32

F = 27 + 32

F = 59

So, the high temperature in degrees Fahrenheit was [tex]\( 59^\circ \)[/tex]Fahrenheit.

the cruise ship is traveling at a uniform speed. after 11 hours, the cruise ship will be____nautical miles from light house.​

Answers

Hence, After 11 hours, the cruise ship will be 244.25 nautical miles from the lighthouse. Hence, At the start of the journey, the cruise ship was 10.5 nautical miles from the lighthouse.

Answer:

the answer is the ship is traveling at 21.25 MPH, started 10.5 miles from lighthouse and after 11 hours will be 244.25 miles from the lighthouse.

Step-by-step explanation:

The value of w is:
show work for brainlist

Answers

Step-by-step explanation:

By angle bisector property:

[tex] \frac{w}{30} = \frac{15}{18} \\ \\ \therefore \: w = \frac{15 \times 30}{18} \\ \\ \therefore \: w = \frac{15 \times 30}{6 \times 5} \\ \\ \therefore \: w = 3 \times 5\\ \\ \huge \orange{ \boxed{ \therefore \: w = 15}}[/tex]

What is the answer to the question ?

Answers

Answer:

si amuigos  hasta luego to es bien cien nueve

Step-by-step explanation:

What is the value of x?

Answers

X=75. I think! Hope this helps

Dale travels from city A to city B to city C and back to city A. Each city is exactly 120 miles from the other two. His average rate from city A to city B is 60 mph. His average rate from city B to city C is 40 mph. His average rate from city C to city A is 24 mph. What is Dale's average rate for the entire trip, in miles per hour?

Answers

Answer:

[tex]average\ speed = 36\ mi/hr[/tex]

Step-by-step explanation:

Given:

Each city is exactly 120 miles from the other two.

Average rate from city A to city B = 60 mi/hr

Average rate from city B to city C = 40 mi/hr

Average rate from city c to city A = 24 mi/hr

We need to find the Dale's average rate for the entire trip.

Solution:

First we find the total time and total distance by following way.

Time taken to travel from A to B = [tex]\frac{Distance}{Speed} = \frac{120}{60}= 2\ hr[/tex]

Time taken to travel from B to C = [tex]\frac{Distance}{Speed} = \frac{120}{40}= 3\ hr[/tex]

Time taken to travel from C to A = [tex]\frac{Distance}{Speed} = \frac{120}{24}= 5\ hr[/tex]

So, total time taken = [tex]2+3+5=10\ hr[/tex]

Total distance =  120 + 120 + 120 = 360 miles

Using average speed formula.

[tex]average\ speed = \frac{Total\ distance}{Total\ time\ taken}[/tex]

[tex]average\ speed = \frac{360}{10}[/tex]

[tex]average\ speed = 36\ mi/hr[/tex]

Therefore, the average rate for the entire trip [tex]average\ speed = 36\ mi/hr[/tex]

How do you solve s=5/6t

Answers

Answer:

if you want to solve for t: t = 6s / 5

if you want to solve for s: s = 5t  / 6

Step-by-step explanation:

solve 3+4n/n = 7b for n

Answers

Final answer:

To solve the equation 3 + 4n/n = 7b for n, you can cancel out the n in the numerator and denominator. Then, subtract 3 from both sides of the equation and divide by 7 to solve for b.

Explanation:

To solve the equation 3 + 4n/n = 7b for n, we need to isolate n on one side of the equation. First, we can simplify the equation by canceling out the n in the numerator and denominator, as they are dividing each other. This leaves us with 3 + 4 = 7b. Next, we can subtract 3 from both sides of the equation to get 4 = 7b - 3. Finally, we can divide both sides of the equation by 7 to solve for b: 4/7 = b.

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Jackson is building a double desk.The tops need to be 120 in long.Each board is 66 inches.How much will he need to cut if he buys 2 ?

Answers

He will need to cut altogether 12 inches to fit on the top if h buys 2 to adjust on the double desk.

Step-by-step explanation:

Jackson building a double desk requires 120 in long.When each board is 66 inches Therefore, if he buys 2 Boards, 2 x 66 = 132He needs to cut . subtracting 132 - 120 to adjust on the desk.132-120 = 12 if he cuts the board to adjust on each desk.

A 100 ft. ladder rests on top of a hook and ladder truck with its base 11 feet from the ground

Answers

Answer:

Its 111ft. tall if thats what your asking.

Step-by-step explanation:

100+11=111

The answer is: [tex]83.66^\circ[/tex]. The angle of elevation that the ladder makes with the ground is approximately [tex]\( 83.66^\circ \)[/tex].

To solve the problem, we need to find the angle of elevation that the ladder makes with the ground when it is resting on top of the hook and ladder truck. We are given that the ladder is 100 feet long and its base is 11 feet from the ground.

We can use trigonometry to solve for the angle of elevation (θ). The tangent of the angle of elevation is the ratio of the opposite side (height from the ground to the top of the ladder) to the adjacent side (the distance from the base of the ladder to the point on the ground directly below the top of the ladder).

Let's denote:

- The length of the ladder as [tex]\( L \)[/tex], which is 100 feet.

- The distance from the base of the ladder to the point on the ground directly below the top of the ladder as [tex]\( d \)[/tex], which is 11 feet.

- The height from the ground to the top of the ladder as [tex]\( h \)[/tex].

Using the Pythagorean theorem, we can find [tex]\( h \)[/tex]:

[tex]\[ h^2 + d^2 = L^2 \][/tex]

[tex]\[ h^2 + 11^2 = 100^2 \][/tex]

[tex]\[ h^2 = 100^2 - 11^2 \][/tex]

[tex]\[ h^2 = 10000 - 121 \][/tex]

[tex]\[ h^2 = 9879 \][/tex]

[tex]\[ h = \sqrt{9879} \][/tex]

[tex]\[ h \approx 99.39 \text{ feet} \][/tex]

Now, we can find the angle of elevation using the tangent function:

[tex]\[ \tan(\theta) = \frac{h}{d} \][/tex]

[tex]\[ \theta = \arctan\left(\frac{h}{d}\right) \][/tex]

[tex]\[ \theta = \arctan\left(\frac{99.39}{11}\right) \][/tex]

[tex]\[ \theta \approx \arctan(9.03545455) \][/tex]

[tex]\[ \theta \approx 83.66^\circ \][/tex]

Therefore, the angle of elevation that the ladder makes with the ground is approximately [tex]\( 83.66^\circ \)[/tex].

The final answer is:

[tex]\[ \boxed{83.66^\circ} \][/tex]

The complete question is:

A 100 ft ladder rests on top of a hook and ladder truck with its base 11 feet from the ground. When the angle of elevation of the ladder is 81°, how high up the building will the ladder reach?

Mr.woo wants to ship a fishing rod that is 42 inches long to his son.He has a box with the dimension shown.will the fishing rod fit

Answers

The 42 inches fishing rod is fit into the box.

Explanation:

Length of the box = 40 inch

Width of the box = 10 inch

Height of the box = 10 inch

Let us first find the diagonal of the base of the box and 'd' be the diagonal.

Diagonal formula:

[tex]d^2=l^2+w^2[/tex]

   [tex]=40^2+10^2[/tex]

   [tex]=1600+100[/tex]

[tex]d^2=1700[/tex]

Let r be the length from a bottom corner to the  opposite top corner.

To find r:

Using Pythagoras theorem,

[tex]r^2=s^2+h^2[/tex]

    [tex]=1700+10^2[/tex]

    [tex]=1700+100[/tex]

[tex]r^2=1800[/tex]

Taking square root on both side of the equation,

[tex]r=\sqrt{1800}[/tex]

r ≈ 42.43 inch

The length of the longest tube that will fit in the box is 42.43 inches.

Hence the 42 inches fishing rod is fit into the box.

Final answer:

To determine if the fishing rod will fit, compare the length of the fishing rod to the length of the box and check the other dimensions for a comfortable fit.

Explanation:

To determine if the fishing rod will fit inside the box, we need to compare the length of the fishing rod to the dimensions of the box. Since the fishing rod is 42 inches long, we need to check if 42 inches is less than or equal to the length of the box. If it is, then the fishing rod will fit.

Step 1: Compare the length of the fishing rod (42 inches) to the length of the box. If 42 inches is less than or equal to the length of the box, go to Step 2. Otherwise, the fishing rod will not fit.

Step 2: Check the other dimensions of the box to ensure that the fishing rod can fit without any issues. If the fishing rod can fit comfortably inside the box, then it will fit.

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Evaluate the expression below when x=9.5 and y=3. 12x - 3y exponent 2

Answers

first you would insert the 9.5 where x was then you would insert 3 where y was. then you would multiply the inserted numbers by the numbers to the left of it. so 12(9.5)-3(3)^2.

Solve.
4x2 + 6 = 40
Round to the nearest hundredth.
Enter your answers in the boxes.

Answers

Do 4x^2 = 16x

16x+6 = 40

     -6    -6

16x = 34

/16    /16

x=2.125

Rounded to the nearest hundredth is, 2.13

IF THIS IS HELPFUL PLS GIVE ME BRAINLIEST AND ANSWER MY MATH PROBLEM.

Answer:

-2.92 and 2.92

i took the test

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