A large rectangular movie screen in an IMAX theater has an area of 7,544 square feet. Find the dimensions of the screen if it is 10 feet longer than it is wide length= width=

Answers

Answer 1

Answer:

61.37

Step-by-step explanation:

this is i believe the correct answer but i could still be wrong cause x times x is x square but i am not so sure how much that really matters

take x as the width

x plus 10 as the length

2x plus 10 equals 7544 squared

so square root 7544 minus 10 divided by 2

note that it must be done all at once u cant do it seperately

x is 61.37 dont forget to add 10


Related Questions

a well is being dug into the ground. the well needs to reach the depth of 120 feet. a machine can dig down in 12 minutes. what is the change in depth each minute the machine is digging​

Answers

Answer:

10 feet

Step-by-step explanation:

a gallon of paint can cover about 350 square feet of wall space. You have measured a wall to be 210 inches by 120 inches. Will one gallon of paint be enough to cover the wall?

Answers

1 foot = 12 inches.

210/12 = 17.5 feet

120/12 = 10 feet

17.5 x 10 = 175 square feet

175 is less than 350 so yes one gallon will be enough.

Answer: yes

Step-by-step explanation:  because it is only 175 ft of wall

Describe the relationship between the two quantities. Volume of a cylinder; Height & radius of cylinder’s base.

Answers

Answer:

V=πr^2h

Step-by-step explanation:

How many days equal 7344 minutes?

Answers

The answer is 5.1 days

60*24= 1440 minutes in one day

7344/1440= 5.093 or 5.1 rounded to the nearest tenth

A chain weighs 9 pounds per foot. How many ounces will 5 inches weigh? Round your answer to the
nearest tenth as needed.

Answers

Answer:

60 ounces.

Step-by-step explanation:

A chain weighs 9 pounds per foot.

We are to find the number of ounces 5 inches weigh.

First we find how many feet are in 5 inches.

1 foot = 12 inches

how many feet? = 5 inches.

Cross-multiplying gives;

[tex]\frac{5}{12} * 1 = \frac{5}{12}[/tex]   feet

1 foot of the chain = 9 pounds

[tex]\frac{5}{12}[/tex] feet = how many pounds?

Cross-multiplying gives;

[tex]\frac{5}{12} * 9 = 3.75[/tex] pounds

1 pound = 16 ounces

3.75 pounds = how many ounces?

Cross-multiplying gives;

[tex]\frac{3.75 * 16}{1} = 60[/tex] ounces.

The number of ounces will 5 inches weigh is 66.667 oz.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

A chain weighs 9 pounds per foot.

We know that

1 foot = 12 inches.

1 pound = 16 ounces.

Now based on this,

= 5 inches 1/12 x foot/ inches x 10 x pound/ feet x 16

= 5 x 10 x 16 / 12

= 66.667 oz.

Hence, the chain weight 66.6667 oz.

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For each of the hypothetical data sets, determine whether a bar graph or a pie chart would be an appropriate way to display the
data. In some cases, both types of graphs may be appropriate.
pie chart
the percent of individuals with each of the following natural hair colors:
black, brown, blond, red, and other
bar graph
the land area of each of the approximately 50 countries in Europe
bar graph
the number of college students who play basketball, baseball, or soccer
pie chart
the number of K-12 schools that are public compared to the number of private and
charter schools

Answers

Answer:

See below

Step-by-step explanation:

Pie charts are best to display parts of a whole.Bar graphs are best to compare data.

A. The percent of individuals with each of the following natural hair colors:  black, brown, blond, red, and other

Pie chart

B. The land area of each of the approximately 50 countries in Europe

Pie chart or Bar graph

C. The number of college students who play basketball, baseball, or soccer

Bar graph

D. The number of K-12 schools that are public compared to the number of private and  charter schools

Bar graph

The value of x in the equation (12x − 36) = 5x + 18 is .

Answers

Answer:

[tex]x = \frac{54}{7} [/tex]

Step-by-step explanation:

(12x − 36) = 5x + 18

First of all remove the parenthesis

That's

12x - 36 = 5x + 18

Next subtract 5x from both sides of the equation

We have

12x - 5x - 36 = 5x - 5x + 18

7x - 36 = 18

Add 36 to both sides of the equation

That's

7x + 36 - 36 = 18 + 36

7x = 54

Divide both sides by 7

[tex] \frac{7x}{7} = \frac{54}{7} [/tex]

We have the final answer as

[tex]x = \frac{54}{7} [/tex]

Hope this helps you

Answer: x=54/7

Step-by-step explanation:

To find the value of x, we need to use algebraic properties to isolate x.

12x-36=5x+18         [subtract both sides by 5x]

7x-36=18                  [add both sides by 36]

7x=54                      [divide both sides by 7]

x=54/7

Now, we know that x=54/7.

How do you simplify 8^3​

Answers

Steps to solve:

8^3

~Simplify

8 * 8 * 8

~Multiply all

4,096

Best of Luck!

(7)/(9)-2n+(1)/(9) please helpppppp

Answers

Answer:

-2n + 8/9

Step-by-step explanation:

Try that tell me I it don't work

OPEN ENDED QUESTION
Rewrite the following problem using
commutative property of addition: -3 + 7

Answers

Answer:

4

Step-by-step explanation:

7+-3=4

Answer:

4

Step-by-step explanation:

Step 1:

7 + ( -3)

Step 2:

7 - 3

Answer:

4

Hope This Helps :)

Can you solve (x-2)(x+3)=5 by solving x-2=5 and x+3=5? Explain

Will MARK BRAINLIEST

Answers

Answer:

Yes you can.

Step-by-step explanation:

You can because you can just subsitute x-2=5 and x+3=5 into the equation.

Answer:

x=3±/5

Step-by-step explanation:

i don't actually know how to do certain symbols sorry but i hope you know what this means

Find the interest

earned:

$ 15,500 for 7.5 years

at 4.9% annual

compound interest

Answers

Answer:

In 7.5 years, you will have $21,665.07 - $15,000 = $6,665.07 Interest

Step-by-step explanation:

12 x 3 x 8 + 3 + 1 - 100 x 2323

Answers

Answer:

-232008

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out expression

12 x 3 x 8 + 3 + 1 - 100 x 2323

Step 2: Multiply

36 x 8 + 3 + 1 - 100 x 2323

Step 3: Multiply

288 + 3 + 1 - 100 x 2323

Step 4: Multiply

288 + 3 + 1 - 232300

Step 5: Add

291 + 1 - 232300

Step 6: Add

292 - 232300

Step 7: Subtract

-232008

Answer

-232,008 is ans of this simplification

Dante’s cell phone company charges $45 per month for unlimited calls and texts,plus $0.25 per gigabyte of data.His last cell phone bill was $60.50.How many gigabytes of data did Dante use last month?

Answers

15.50 gigabytes were used last month

The tree in Juan's backyard is 7.7 m high. How high is it in centimeters?

Answers

Answer:

770 cm :)

Step-by-step explanation:

1m is 100cm so just multiply 7.7 by 100

Given:

The tree in Juan's backyard is 7.7 m high.

To Find:

How high is it in cm.

Conversion:

1 m = 100 cm

7 m = 7 × 100 = 700 cm

Solution:

7.7 m = ( 700 + 70 ) cm = 770 cm

Answer:

770 cm

Therefore, it is 770 cm high.

The sum of six number is 33. What is their mean?

Answers

Answer:

mean = 33/6 =5.5

Step-by-step explanation:

Mean = sum of numbers / the amount of numbers(like how many numbers are there)

Mean= 33/6

=5.5

So mean is 5.5

Find the mean, median, and mode for the following scores: 8, 7, 5, 7, 0, 10, 2, 4, 11, 7, 8, 7

Answers

Answer:

mode is 7, mean, 6.3 repeating, median 7

Step-by-step explanation:

Divide. Reduce the answer to lowest terms. giveing brainlist

1/5 ÷ 3/4

Answers

Answer:

4/15

Step-by-step explanation:

1/5 * 4/3 = 4/15

Hope this helps and pls give me brainliest.

The solution is Option B.

The value of the equation 1/5 ÷ 3/4 is A = 4 / 15

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = 1/5 ÷ 3/4   be equation (1)

On simplifying the equation , we get

A = 1/5 x 4/3

A = 4 / ( 5 x 3 )

The value of A = 4 / 15

Therefore , the value of A is 4/15

Hence , the equation is A = 4/15

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Please help!!!!!!!!!

Answers

Answer:

uhm wrong guestion

Step-by-step explanation :

sorry

State the domain and range in set notation​

Answers

Answer:

Image result for State the domain and range in set notation​

The domain is the set of all first elements of ordered pairs (x-coordinates). The range is the set of all second elements of ordered pairs (y-coordinates). Only the elements "used" by the relation or function constitute the range. Domain: all x-values that are to be used (independent values).

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The last option is not complete, but since the first three options are incorrect, the last option is correct

A rectangle has an area of 48ft2 and a width of 6 ft. What it’s length??

Answers

Answer:

the length would be 8ft

hope i helped you

Write the equation of the line fully simplified slope-intercept from.

Answers

Answer:

y = 4/3x - 7

Step-by-step explanation:

Evaluate the difference quotient for the given function. Simplify your answer.
f(x) = 5 + 4x – x2,
f(3 + h) – f(3)
h
1-1-2h-h² x
Enhanced Feedback
Please try again. To evaluate f(a + h), replace x by (a + h) in the expression for f(x). Substitute this
Need Help?
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Show My Work (Required)
What steps or reasoning did you use? Your work counts towards your score.
substituting (3+h) into the equation by replacing (3+h) where there is a x value we can get the quotient. Then repla

Answers

Answer:

  -2-h

Step-by-step explanation:

It doesn't hurt to follow directions.

  [tex]q=\dfrac{f(3+h)-f(3)}{h}=\dfrac{(5 +4(3+h)-(3+h)^2)-(5 +4(3)-(3)^2)}{h}\\\\=\dfrac{5-5+4(3+h-3)-((3+h)^2-3^2)}{h}=\dfrac{4h-(6h+h^2)}{h}\\\\=\dfrac{-2h-h^2}{h}=\boxed{-2-h}[/tex]

__

Steps: substitute 3+h and 3 for x in the definition of f(x) and simplify the result.

A line passes through (0, 2) and has a slope of 3. Which function's graph is parallel to this line?
A. f(x) = 2 O
B. f(x) = 3 O
C. f(x) = 2x O
D. f(x) = 3x o TUL earch​

Answers

ANSWER IS B 30

Step-by-step explanation:

The function's graph is parallel to this line is 3x.

What is equation of a straight line ?

The general equation of a straight line is y = mx + c, where m is the gradient or slope, and y = c is the value where the line cuts the y-axis. This number c is called as intercept.

From the question,

Parallel lines have same slope.

The slope given, m =3.

The function's graph is parallel to this line is 3x.

Hence the required answer is f(x)= 3x.

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please answer or i fail

Answers

Answer:

42

Step-by-step explanation:

360 - ( 139 + 45+ 90+44)

Answer:

42 °

Step-by-step explanation:

complete angle = 360 ° . therefore sum of all angles around a single point is equal to 360 ° .

360° - 139° - 45° - 90° - 44° = x

x = 180 - 138 = 42 °

If r objects are being selected from a group of n distinct objects and order does matter, then this arrangement is known as a

Answers

Answer:

Permutation

Step-by-step explanation:

The term to describe the given statement is permutation.

When defining permutation, certain keywords such as order does matter and arrangement are used to describe permutation.

Take for instance:

The arrangement of 3 boys on a seat

Ways 4 friends can sit to take photographs

...are examples of permutation

Permutation of r objects in n distinct objects is calculated as:

[tex]^nP_r = \frac{n!}{(n -r)!}[/tex]

A technician compares repair costs for two types of microwave ovens (type I and type II). He believes that the repair cost for type I ovens is greater than the repair cost for type II ovens. A sample of 61 type I ovens has a mean repair cost of $79.60, with a standard deviation of $23.47. A sample of 45 type II ovens has a mean repair cost of $75.25, with a standard deviation of $15.07. Conduct a hypothesis test of the technician's claim at the 0.05 level of significance. Let μ1 be the true mean repair cost for type I ovens and μ2 be the true mean repair cost for type II ovens.Step 3 of 4 : Determine the decision rule for rejecting the null hypothesis H0. Round the numerical portion of your answer to three decimal places.

Answers

The question is missing some parts. Here is the complete question.

A technician compares repair costs for two types of microwave ovens (type I and type II). He believes that the repair cost for type I ovens is greater than the repair cost in type II ovens. A samplle of 61 type I ovens has a mean repair cost of $79.60, with a standard deviation of $23.47. A sample of 45 type II ovens has a mean repair cost of $75.25, with standar deviation of $15.07. Conduct a hypothesis test of the technician's claim at the 0.05 level of significance. Let [tex]\mu_{1}[/tex] be the true mean repair cost for type I ovens and [tex]\mu_{2}[/tex] be the true mean repair cost for type II ovens.

Step 1 of 4: State null and alternative hypothesis for the test.

Step 2 of 4: Compute the value of test statistics. Round your answer to 2 decimal places.

Step 3 of 4: Determine the decision rule for rejecting the null hypothesis. Round the numerical portion of your answer to 3 decimal places.

Step 4 of 4: Make the decision for the hypothesis test. (Reject or fail to reject Null Hypothesis)

Answer and Step-by-step explanation:

First, state null and alternative hypothesis:

[tex]H_{0}: \mu_{1}=\mu_{2}[/tex]

[tex]H_{a}: \mu_{1}>\mu_{2}[/tex]

Use z-statistics:

[tex]z = \frac{x_{1}-x_{2}}{y}[/tex]

where x₁ and x₂ are the means and:

[tex]y=\sqrt{\frac{s_{1}^{2}}{n_{1}}+\frac{s_{2}^{2}}{n_{2}} }[/tex]

Calculating value of test stattistic:

[tex]y=\sqrt{\frac{(23.47)^{2}}{61}+\frac{75.25^{2}}{45} }[/tex]

[tex]y = \sqrt{9.030+5.046}[/tex]

[tex]y = \sqrt{14.076}[/tex]

y = 3.752

[tex]z = \frac{79.6-75.25}{3.752}[/tex]

z = 1.16

The test statistics is z = 1.16

The decision rule for rejecting null hypothesis is: [tex]\alpha[/tex] ≤ test statistics

Using z-score table, it is possible to determine p-value, which is:

p-value = 0.877

Comparing p-value with level of significance (α = 0.05):

0.877 > 0.05

Therefore, we fail to reject the null hypothesis.

* For his phone service, Goran pays a monthly fee of $24, and he pays an additional $0.06 per minute of use. The least he has been charged in a month is $93.96

*What are the possible numbers of minutes he has used his phone in a month?

*Use m for the number of minutes, and solve your inequality for m.​

Answers

Answer:

[tex]m \geq 1166[/tex]

Step-by-step explanation:

Given

[tex]Base\ Amount = \$24[/tex]

[tex]Charges = \$0.06[/tex] per minute

[tex]Least\ Monthly\ Charges = \$93.96[/tex]

Required

Determine the possible number of minutes

If for 1 minute, he's charged $0.06;

He'll be charged $0.06m for m minutes

Representing this as an inequality, we have:

[tex]Base\ Amount + m\ Charges \geq\ Least\ Monthly\ Charges[/tex]

[tex]24 + 0.06m \geq 93.96[/tex]

Solve for 0.06m

[tex]0.06m \geq 93.96 - 24[/tex]

[tex]0.06m \geq 69.96[/tex]

Solve for m

[tex]m \geq 69.96/0.06[/tex]

[tex]m \geq 1166[/tex]

This implies that, he's charged for at least 1166 minutes

A merchant mixed 10 lb of a cinnamon tea with 2 lb of spice tea. The 12-pound mixture cost $13. A second mixture included 16 lb of the cinnamon tea and 8 lb of the spice tea. The 24-pound mixture cost $28. Find the cost per pound of the cinnamon tea and of the spice tea.

Answers

Step-by-step explanation:

Let's say c is the price of cinnamon tea, and s is the price of spice tea.

10c + 2s = 13

16c + 8s = 28

Divide the second equation by 4:

4c + 2s = 7

Subtract from the first equation:

6c = 6

c = 1

Use any equation to find s.

s = 1.5

Therefore, the cinnamon tea costs $1 per pound and the spice tea costs $1.50 per pound.

A standardized​ exam's scores are normally distributed. In a recent​ year, the mean test score was and the standard deviation was . The test scores of four students selected at random are ​, ​, ​, and . Find the​ z-scores that correspond to each value and determine whether any of the values are unusual.

Answers

Answer:

The following are the solution to this question:

Step-by-step explanation:

In the given question, some of the values are missing which is defined in the attached file please find it.

In this question, the data is used to represent a standardized​ exam's scores, which is normally spread out into the test score that is  1530 and its standard deviation 316.  

Formula:

[tex]\to z=\frac{X- \mu}{\sigma } \\[/tex]

If the value of z-score= 1930

       [tex]\to z =\frac{1930- 1530}{316 } \\\\ \to z =\frac{400}{316 } \\\\ \to z = 1.27[/tex]

The z-score is 1.27

If the value of z-score= 1250

       [tex]\to z =\frac{1250- 1530}{316 } \\\\ \to z =\frac{-280}{316 } \\\\ \to z = -0.886[/tex]

The z-score is -0.886

If the value of z-score= 2250

       [tex]\to z =\frac{2250- 1530}{316 } \\\\ \to z =\frac{720}{316 } \\\\ \to z = 2.27[/tex]

The z-score is = 2.27

If the value of z-score= 1420

       [tex]\to z =\frac{1420- 1530}{316 } \\\\ \to z =\frac{-110}{316 } \\\\ \to z = -0.348[/tex]

The z-score is = -0.348

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