A large rectangular movie screen in an IMAX theater has an area of 11,224 square feet. Find the dimensions of the screen if it is 30 feet longer than it is wide

Answer: To calculate Brad's velocity, we can use the formula:

velocity = distance / time

where:

distance = 395 meters (the distance traveled)

time = 31.6 seconds (the time it took to travel that distance)

Plugging in the values into the formula, we get:

velocity = 395 meters / 31.6 seconds

velocity = 12.5 meters per second

So Brad's velocity was 12.5 meters per second in a southeast direction.

Step-by-step explanation:

The value of the function f(a + 1) - f(a) is 2a - 2

function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

In the given problem;

f(x) = x² - 3x

f(a + 1) - f(a) = ?

f(a + 1) = a² - a - 2

f(a) = a² - 3a

f(a + 1) - f(a) = a² - a - 2 -(a² - 3a)

f(a + 1) - f(a) = 2a - 2

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The correct answer choices for Z and X are $25.08 and $3.72, respectively.

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

How to solve for this

To solve for Z and X simultaneously, you can use the following equation: Z + X = 59.5

You can then compare the four given answer choices for Z and X to determine which ones satisfy the equation.

For example, $1.51 + $22.35 = $23.86, which is not equal to 59.5, so neither of these answer choices is correct.

However, $25.08 + $3.72 = $28.80 which is equal to 59.5, so the correct answer choices for Z and X are $25.08 and $3.72, respectively.

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The work done in pulling the rope up 10 ft is 864 ft-lbs, calculated by multiplying the rope's weight (72 lbs) by the distance (10 ft) it was lifted.

Work done = Weight x Distance

Work done = 72 lbs x 10 ft

Work done = 720 ft-lbs

Additional work done for weight of rope = Weight of rope x Distance

Additional work done for weight of rope = 90 x 10

Additional work done for weight of rope = 900 ft-lbs

Total work done in pulling the rope up 10 ft = 720 ft-lbs + 900 ft-lbs

Total work done in pulling the rope up 10 ft = 864 ft-lbs

The work done in pulling the rope up 10 ft is calculated by multiplying the weight of the rope (72 lbs) by the distance (10 ft) it was lifted. This gives us a result of 720 ft-lbs. However, since the rope is 90 ft long, we must also take into account the additional weight of the rope beyond the 10 ft that was lifted. So, we multiply the weight of the rope (90 lbs) by the distance (10 ft) to get an additional work done of 900 ft-lbs. Adding the two results together gives us 864 ft-lbs of work done in pulling the rope up 10 ft. This shows that the heavier a rope is, the more work must be done to lift it.

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She has to be at the airport at least 100 minutes before the flight. She must arrive at the airport at least two hours and 120 minutes before the flight.

Which ensures that she has time to check in, go through security and passport control, and board the flight. the amount f time a passenger needs to arrive before the flight can vary depending on the airline and airport. Generally, most airlines recommend that passengers arrive at the airport at least two hours before domestic flights and three hours before international flights.

In order it gives the passenger enough time to get to the airport depending on the location and traffic, check in and drop off any luggage, go through security and passport control, then at last board the flight

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Answer: 20

Step-by-step explanation:

58-38=20

The population of the city has decreased by 15%.

Percentage refers to a way of expressing a number as a fraction of 100, and is often represented by the symbol (%).

To find the percent decrease, we need to determine the difference between the original population and the new population. We can do this by subtracting the new population from the original population:

322,000 - 273,700 = 48,300

This means that the population has decreased by 48,300. To find the percentage decrease, we need to express this as a percentage of the original population. We can do this by dividing the decrease by the original population and then multiplying by 100:

(48,300 / 322,000) x 100 = 15%

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Answer:

98 km

Step-by-step explanation:

To find the area of the figure;

Total Area = Area A + Area B + Area C

Area A = 14 * 2 = 28 km2

Area B = 11 * 2 = 22 km2

Area C = 12 * 4 = 48 km2

Total Area = 98 km2

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Answer:

3 ounces per 12 cups

Step-by-step explanation:

you multiply the left side by 6 on both numerator and denominator

1/2 per 2 = X per 12

1/2 * 6 = 6/2 or 3

2 * 6 = 12

3 per 12 = x per 12

the rate is 3 ounces per 12 cups

i hope this helps

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hope it helps!:)

The perimeter of the figure is 30.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

From the figure,

Number of sides = 5

Each side = 6

So,

The perimeter.

= 5 x 6

= 30

Thus,

30 is the perimeter.

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The probability that Omar randomly selects a sugar cookie from the bag eats it, then randomly selects an oatmeal cookie is 0.06.

Omar buys a bag of cookies that contains,

5 chocolate chip cookies,9 peanut butter cookies, 6 sugar cookies, and 7 oatmeal cookies,

We have to find the probability that Omar randomly selects a sugar cookie from the bag, eats it, then randomly selects an oatmeal cookie

Total number of cookies in bag = 27

the probability that Omar randomly selects a sugar cookie from the bag, eats it, then randomly selects an oatmeal cookie

[tex]=\frac{6}{27}.\frac{7}{26}\\\\=0.0598 =0.06[/tex]

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The model that represents the two equal expression for the value x is 2 is given by :

option C.  x  1  1 = 1   1   1   1

The correct model which represents the expression for the value x as 2 is given by :

A. x   x     x     x    = 1    1    1     1

On the left hand side substitute the value of x = 2 we get,

Left hand side

= 2    2    2    2

It is not equal to 1    1    1    1

Incorrect option.

B. x   x     x     x    = 1  

On the left hand side substitute the value of x = 2 we get,

2   2    2    2

which is not equal to 1

Incorrect option.

C. x   1   1  = 1      1     1     1

On the left hand side substitute the value of x = 2 we get,

2    1    1

= 1   1    1     1

= Right hand side.

Correct option.

D.  x      x    

On the left hand side substitute the value of x = 2 we get,

= 2      2

which is not equal to right hand side

Incorrect option.

Therefore, the correct model which represents the expression for the value of x = 2 is equal to option C.  x  1  1 = 1   1   1   1 .

The above question is incomplete , the complete question is:

Which model shows two equal expression when the value of x is 2 ?

Attached model.

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Answer:

D. 3/7, 3:7, or 3 to 7

Step-by-step explanation:

Answer:

NO

Step-by-step explanation:

no she cannot. you do not need to do any math for this, none of these measurements are equal to or greater than 6 feet, and i dont think lily's gonna snap her fishing pole in half 6>4, 4=the longest thing about this box, aka the length

Answer: No, she can not store the fishing pole in the box.

No, Lily can not store the fishing pole into the box. The pole is 6 feet long, while the box is 4 feet long. Even if you tried to insert the pole into the box vertically it would not fit. Therefore, no Lily cannot fit the box.

I hope this helped & Good Luck <3 !!!

The number of crickets Great fed last week to Lizzy is 56.

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Given that, For every 11 crickets Greta feeds Draco, she always feeds Lizzy 8 crickets.

Last week, Greta fed Draco 77 crickets.

Let the number of crickets Great fed last week be x.

Now, 11:8::77:x

11x=77×8

x=7×8

x=56

Therefore, the number of crickets Great fed last week to Lizzy is 56.

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"Your question is incomplete, probably the complete question/missing part is:"

Greta has two pet lizards, Draco and Lizzy. For every 11 crickets Greta feeds Draco, she always feeds Lizzy 8 crickets. Last week, Greta fed Draco 77 crickets. How many crickets did Greta feed Lizzy?

Answer:31.42 sq.

Step-by-step explanation:

Answer:

56 cola flavored gumboils

Step-by-step explanation:

Bob's 40 count of gumballs has 16 cola gumballs

Therefore the probability of a gumball being cola based on the sample size of Bob's purchase = 16/40 = 2/5

There are 140 gumballs left in the machine so we can expect that, on an average, 2/5 of them should be cola gumballs

So number of cola gumballs left is expected to be  2/5 x 140 = 56

This is only a prediction based on Bob's sample of 40 cola gumballs

Answer:

-5

Step-by-step explanation:

The expression for the composition of functions t and s, (t*s)(x), is obtained by substituting the output of s(x) into t(x). So,

(t*s)(x) = t(s(x)) = t(4x) = 3(4x) + 3 = 12x + 3.

The expression for the difference of functions t and s, (t - s)(x), is obtained by subtracting the output of s(x) from t(x). So,

(t - s)(x) = t(x) - s(x) = (3x + 3) - (4x) = -x + 3.

To evaluate (t + s)(-2), we need to add the outputs of t(-2) and s(-2).

t(-2) = 3(-2) + 3 = 3

s(-2) = 4(-2) = -8

So, (t + s)(-2) = t(-2) + s(-2) = 3 + (-8) = -5.

The price of medium pizza paid by both the science and maths clubs found using linear equations is $9.50.

What is meant by equation?

A formula known as an equation uses the equals sign (=) to express how two expressions are equal.

Given,

Cost of 5 large pizzas and 2 medium pizzas paid by the science club = $79.00

Cost of  4 large pizzas and 4 medium pizzas paid by the math club = $86.00

Let the cost of medium pizza = x

Cost of large pizza = y

Now using the above equation we can write two linear equations.

2x + 5y = 79

4x + 4y = 86

Solving the above system of linear equations.

We are making the coefficient of the x variable the same.

Multiplying the first equation by 2.

4x + 10y = 158

4x + 4y = 86

Subtracting the equations.

6y = 72

y = 12

Now substituting in any one equation, we get the value of x.

2x + 5 * 12 = 79

2x = 19

x = 9.5

Therefore the price of medium pizza found using linear equations is $9.50.

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31 people chose Petra as leader in the student council elections.

Percentage is used to represent a fraction of 100.

Percent is represented by the sign "%".

Mathematically, we can write the percentage as -

A% of B

(A/100) x B

AB/100

Given is that in the student council elections, 39% of the 80 voters chose Petra.

We can find the total number people who chose Petra as leader as -

{x} = 39% of 80

{x} = (39/100) x 80

{x} = 31.2

{x} = 31

Therefore, 31 people chose Petra as leader in the student council elections.

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{Question in English -

In the student council elections, 39% of the 80 voters chose Petra. How many optical votes Petra?}

The amount that was paid by Ashley is $ 28.05.  

To find the discount on a given price, multiply the discount that is given by the original price and divide the result by 100.
To find the amount that can be paid by the consumer, subtract the resultant discount from the original price.

Final price of item = Original price - Discount  

Here we have

An item is regularly priced at $33.  

The discount that Ashley bought it = 15% off the regular price.  

The amount that Ashely paid for it = $ 33 - 15% of $ 33  

=> $ 33 - $ (15/100 × 33)

=> $ 33 - $ (0.15 × 33)

=> $ 33 - $ 4.95  

=> $ 28.05  

Therefore,

The amount that was paid by Ashley is $ 28.05.

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The mean of a sample is the average of all values in the sample. The mean of a sample is generally always smaller than the mean of the population from which the sample was taken, since the sample is only a small subset of the population.

The mean of a sample can never be zero or negative, since it is an average of all the values in the sample. The mean of a sample can also never be greater than the mean of the population. None of these alternatives is correct.

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The required measurement of the ingredient has been shown below for half a batch of cookies.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
When making 1/2 a batch of the cookie recipe, you will need to halve the amount of each ingredient.

Here is the list of ingredients for half a batch:

1 7/8 cups flour

5/8 cup brown sugar

1 egg

1/8 teaspoon salt

1/6 teaspoon baking soda

5/8 cup butter

3/4 cup white sugar

Thus, the required measurement of the ingredient has been shown above for half a batch of cookies.

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The answer is 10.5

First you need to subtract the ending cost (25.50) giving you $52.5

With that 52.5 just divide by the amount of shirts bought (5) and you get 10.5 per shirt.

Answer:

10.50

Step-by-step explanation:

you take 78 and subtract that by 25.50 which gives you how much money he spends on the 5 t-shirts. that will 52.50

now you know that he spends 52.50 on 5 t-shirts, so you divide that by 5 which gives you 10.50

hope it helps

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The expression √a²√a² when simplified is (d) a * a

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

√a²√a²

Express as product expression

So, we have the following representation

√a²√a² = √a² *√a²

Evaluate the exponents

This gives

√a²√a² = a * a

Hence, the expression is (d) a * a

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Complete question

Simplify √a²√a²

Which expression is equivalent to √a²√a²

a².aº

aª.a

a³ a

a a

Answer:

hope this helps!!! That’s the answer!

Step-by-step explanation:

Answer:

9.43 units.

Step-by-step explanation:

To find the distance between two points in a 2D plane, you can use the Pythagorean theorem. The formula for finding the distance between two points (x1, y1) and (x2, y2) is:

d = √((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the values for W and Z:

d = √((8 - 3)^2 + (-2 - 6)^2)

d = √(5^2 + (-8)^2)

d = √(25 + 64)

d = √89

The distance between the points W and Z is approximately 9.43 units.

a. It is not specified in the given information what the total number of seniors at Lewis High is, so it is not possible to directly compare the number of seniors who apply for college to the number of seniors at Lewis High.

b. The same issue applies to this question as well. It is not specified what the total number of seniors at Lewis High is, so it is not possible to directly compare the number of seniors who apply for college with those who don't.

c. If two out of every three seniors at Lewis High apply for college, then one out of every three seniors does not. Therefore, the fraction of graduating seniors at Lewis High who do not apply to college is 1/3.

d. If three out of every five seniors at Lewis High who apply for college are female students, then two out of every five are male students. Therefore, the fraction of seniors who are males who apply for college is 2/5. Again, without knowing the total number of graduating seniors at Lewis High, it is not possible to directly compare the number of males who apply for college with the number of graduating seniors.

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Two of every 3 seniors at Lewis High apply for college. Three of every 5 seniors at Lewis High who apply for college are female students.yout

a. How does the number of seniors who apply for college compare to the number of seniors at Lewis High?

b. How does the number of seniors who apply for college compare to those who don't?

c. What fraction of the graduating seniors at Lewis High do not apply to college?

d. What fraction of the seniors are males who apply for college? How does the number of males who apply for college compare with the number of graduating seniors?

Answer:

small number=3 while Big number is, 13

Step-by-step explanation:

X+y=14

3x+2y=31

3(x+y=14)

3x+3y=42 + 3x+2y=31

X=3,y=11