−(−B)=minus, left parenthesis, minus, B, right parenthesis, equals

Answers

Answer 1

We know that,

When sign negative multiplied by negative then we find positive sign,

Therefore,

When sign positive multiplied by positive sign then we find positive sign,

When sign positive multiplied by negative sign then we find negative sign,

When sign negative multiplied by positive sign then we find negative sign,,

For example-

(-8)×(2)=-16

(-2)×(-2)=4

(-3)×(+3)=-9

(+3)×(+4)=+12

(+8)×(-2)=-16

According to question,

Given data in the question,

-(-B) =minus, left parenthesis, minus, B right parenthesis, equals

With the help of above Lines

we can say that,

-(-B)=-1×-(B)

=B

-(-B)=minus,left parenthesis, minus, B right parenthesis, equals

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Answer 2

For the give question of −(−B)=minus, left parenthesis, minus, B, right parenthesis, equals answer is -(-B)=-1×-(B)

What is parenthesis?

The well-known () symbol is used in pairs to group things together or specify the order of operations in an equation. Parentheses or "round brackets" are also known as parentheses. When writing or solving equations in math, you'll frequently need to use brackets. They assist in defining the order of operations as well as grouping numbers.

We know that,

When sign negative multiplied by negative then we find positive sign,

Therefore,

When sign positive multiplied by positive sign then we find positive sign,

When sign positive multiplied by negative sign then we find negative sign,

When sign negative multiplied by positive sign then we find negative sign,,

For example-

(-8)×(2)=-16

(-2)×(-2)=4

(-3)×(+3)=-9

(+3)×(+4)=+12

(+8)×(-2)=-16

According to question,

Given data in the question,

-(-B) =minus, left parenthesis, minus, B right parenthesis, equals

With the help of above Lines

we can say that,

-(-B)=-1×-(B)

=B

-(-B)=minus, left parenthesis, minus, B right parenthesis, equals

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Related Questions

Please Help. Thank you

Answers

Answer:

Look below

Step-by-step explanation:

Example for A

1/5 y= 3/5 x

1/5 y= 3/5 x +4

Example for B

0x=0y

0x=0y+3

Answer for C

add statement for the y not to be equal to 0

Determine if the following equation has one, none, or many solutions
3x-6=x+6-5x

Answers

The equation 3x - 6 = x + 6 - 5x has one solution, which is x = 12/7.

What is an equation?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given equation is,

3x - 6 = x + 6 - 5x

To determine the solutions, solve the equation,

3x - 6 = 6 - 4x

7x = 12

x = 12/ 7

The equation has one solution, which is 12/7.

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1. The sum of 4th and 6th progression is 42. The sum of 3rd and 9th term of the progression is 52. Find a). First term b.) the common difference. c). the sum of the first 10 terms of the progression.​

Answers

Answer:

a) The first term of the progression is 4.5.

b) The common difference of the progression is 4.

c) The sum of the first 10 terms of the progression is 225.

Step-by-step explanation:

To solve this problem, you can use the formula for the sum of an arithmetic series. An arithmetic series is a sequence of numbers in which each term is obtained by adding a fixed number, called the common difference, to the preceding term.

The sum of an arithmetic series with n terms and a common difference d is given by:

Sum = n/2 * (2a + (n-1)d)

Where a is the first term of the series and d is the common difference.

In this problem, you are given that the sum of the 4th and 6th terms is 42 and the sum of the 3rd and 9th terms is 52. You can use these two equations to solve for a and d.

First, let's find the sum of the 4th and 6th terms:

Sum = 4/2 * (2a + 3d) = 42

This simplifies to:

2a + 3d = 21

Next, let's find the sum of the 3rd and 9th terms:

Sum = 6/2 * (2a + 5d) = 52

This simplifies to:

2a + 5d = 26

Now that we have two equations, we can solve for a and d by using substitution or elimination.

To use substitution, we can solve the second equation for d:

d = (26 - 2a)/5

Then, we can substitute this expression for d into the first equation:

2a + 3((26 - 2a)/5) = 21

This simplifies to:

2a + 3(26 - 2a)/5 = 21

Which simplifies to:

2a + 3(26)/5 - 3(2a)/5 = 21

This simplifies to:

2a + 3(26)/5 - 6a/5 = 21

This simplifies to:

-4a + 3(26)/5 = 21

This simplifies to:

-4a + 39 = 21

This simplifies to:

-4a = -18

This simplifies to:

a = 4.5

Now that we know the value of a, we can substitute it back into one of the original equations to find the value of d:

2(4.5) + 3d = 21

This simplifies to:

9 + 3d = 21

This simplifies to:

3d = 12

This simplifies to:

d = 4

Now that we have found the values of a and d, we can use the formula for the sum of an arithmetic series to find the sum of the first 10 terms of the progression:

Sum = 10/2 * (2(4.5) + (10-1)(4))

= 10/2 * (9 + 36)

= 10/2 * 45

= 225

Therefore, the sum of the first 10 terms of the progression is 225.

Answer:

Hence,

Common difference is

First term is

Sum of first 10 terms is 47

Step-by-step explanation:

a4 + a6 =42 eq1

a3 + a9 =52 eq

a1=?

d=?

S10=?

From eq 1,

a4 + a6=42

a1+3d + a1+5d =42

2a1 + 8d= 42 eq 3

From eq 2,

a3 + a9 =52

a1+2d + a1+8d = 52

2a1 + 10d = 52 eq 4

Subtract eq 3 from eq

2a1 + 10d =52

-2a1 -8d = -42

==============

2d = 10

d=5....

≈=======================

Putting value of d in eq

2a1 +10 d=52

2a1+ 50 =52

a1 =1

================

Now we find sum of first 10 terms,

S10 = 2a1 + 9d

S10 = 2+45

S10 = 47

===========

3(x-7)+12=1/4(12x-8)-7

Answers

Answer:

What's the question? Ill try to answer in comments

Step-by-step explanation:

Use the graph below to find the domain and range.

Answers

The domain and the range of the graphed function are given as follows:

Domain D: (-9, -1] U (0, 4].Range R: (-6, 8.6].

How to obtain the domain and the range of the function?

The domain of a function is composed by the set that contains all possible values assumed by the input of the function. Hence, considering the graph of the function, the domain is given by the values of x of the graph.

Thus the domain of this function is given as follows:

D: (-9, -1] U (0, 4].

As there is an interval between -1 and 0 for which the function is not defined, and open circle defines that the interval is open at x = -9 and at x = 0.

The range of a function is composed by the set that contains all possible values assumed by the output of the function. Hence, considering the graph of the function, the range is given by the values of y of the graph.

Then the range of the function is given as follows:

R: (-6, 8.6].

Open interval due to the open circle at y = -6, closed at the value between 8 and 10 which is of 8.6.

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Is (1, 4) a solution to this system of equations?
y = x + 9
y = 10x + 7
yes
Submit
no

Answers

Answer:

no

Step-by-step explanation

y=x+9

4=1+9

1+9=10

10 is not equal to 4

y=10x+7

=40+7

47 does not equal 4

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Simplify the factorial expression.

(n-5)!/(n-3)!

Answers

Answer:

[tex]\cfrac{1}{(n-4)(n-3)}[/tex]

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

Simplify considering that (n - 3) > (n - 5) and their difference is 2:

[tex]\cfrac{(n-5)!}{(n-3)!}=\cfrac{(n-5)!}{(n-5)!(n-4)(n-3)} =\cfrac{1}{(n-4)(n-3)}[/tex]

13. a) (6 pts total) The same series of books you've been wanting cost $44 at Barnes and Noble and are on sale for $35
at Target. If you have a 25% off coupon for Barnes and Noble and a 5% RedCard discount at Target, find what the
price before tax would be at each of the two retailers.

Answers

Answer:

The price before tax at Barnes and Noble is $33, and the price before tax at Target is $33.25.

Step-by-step explanation:

Fill in the P = X x values to give a legitimate probability distribution for the discrete random variable X , whose possible values are − 2 , 1 , 2 , 3 , and 6 .

Answers

Answer:

2

Step-by-step explanation:

whose possible values are − 2 , 1 , 2 , 3 , and 6 .

What is the degree form for 4pi/9?

Answers

Answer:

80 degrees

Step-by-step explanation:

π=180 degrees

4π/9 =

4*180/9 =   ==> substitute 180 for π

720/9 = ==> simplify

80 degrees

Answer
80 degree
Step-by-step explanation:
4*20

What is the solution for x in the equation? 5/3x+4=2/3r A.x=12/7 B.x=12/7C.x=4 D.x=-4

Answers

Answer:

D

Step-by-step explanation:

5/3 x - 2/3 x = -4

3/3 x = -4

x = -4

TEXT ANSWER
Markita is reading a book. She decides to read the same amount of
pages every day. The line y = -45x + 750 represents how many pages
are left in her book 'x' days after she has begun reading it.
a. How many pages does the book have?
b. How many pages does she read per day?

Answers

Answer:

a. 750 pages

b. 45 pages

Step-by-step explanation:

If you're decreasing 45 of something each day from 750, it makes sense that the 'something' is pages; instead of decreasing, it's reading.

So

a. 750 pages

b. 45 pages

5 triangles are shown. Triangles 1 and 4 are identical. Triangle 2 has identical side lengths and angle measures but is rotated. Triangle 3 has a smaller base than triangles 1, 2, and 4. Triangle 5 is double the size of triangles 1, 2, and 4.
Which statement best describes one of these transformations?
Triangle 1 is rotated to result in triangle 2.
Triangle 1 is dilated to result in triangle 3.
Triangle 1 is reflected to result in triangle 4.
Triangle 1 is stretched to result in triangle 5.

Answers

A statement which best describes one of these transformations is that: A. triangle 1 is rotated to result in triangle 2.

What are the types of transformation?

In Mathematics, there are four (4) main types of transformation and these include the following:

RotationReflectionDilationTranslation

What is a rotation?

In Mathematics, a rotation simply refers to a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Since triangle 2 has identical (similar) side lengths and angle measures, but is rotated and triangles 1 and 4 are identical, we can logically deduce that triangle 1 underwent a rotation to produce triangle 2.

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which of the following pearson correlations shows the greatest strength or consistency of relationship? 0.85 0.95 -0.35 -0.70

Answers

0.95 is Pearson correlation shows the greatest strength or consistency of relationship

Pearson correlation is a statistic measuring the linear interdependence between two variables or two sets of data.

The value of correlation coefficient must be between -1.00 and +1.00 that  measures the strength and direction of the relationship between two variables.

When one variable changes, the other variable changes in the same direction.

The closer to either indicates a stronger relationship or the greatest strength or the consistency of the relationship.

The strongest must be 0.95. It is a strong positive correlation.

The correct answer is = 0.95

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Catherine Hart works 37 hours per week.
Her hourly rate of pay is $15.50 per hour. A
student calculated Catherine's weekly
paycheck as $570.00, and her annual
income as $13,764.00. These calculations
are wrong. Explain why these calculations
are wrong.

Answers

Weekly paycheck of Catherine is $573.5 and her annual income is $29,904.01.

What is Unit Rate?

Unit rate is defined as the number of one quantity needed for a single other quantity.

In other words, if we know the unit rate, we can calculate any amount of one quantity corresponding to any amount of the other quantity by multiplying the unit rate with the number of other quantity.

Here unit rate of Catherine's pay = $15.50 per hour

Given that Catherine works 37 hours per week.

Weekly paycheck of Catherine = unit rate × number of hours per week

                                                    = 15.50 × 37

                                                    = $573.5

Annual Income of Catherine = Unit rate × number of hours per year

There are 52.143 weeks in a year.

Catherine works 37 hours per week.

Number of hours Catherine working in an year = 52.143 × 37 = 1929.291

Annual Income of Catherine = 15.50 × 1929.291

                                               = $29,904.01

Hence, calculation of student is wrong since the weekly paycheck is $573.5 and her annual income is $29,904.01.

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Suppose that the duration of a particular type of criminal trial is known to have a mean of 21 days and a standard deviation of seven days. We randomly sample nine trials.a. Find the probability that the total length of the nine trials is at least 225 days. Round to at least three decimal places.b. Ninety percent of the total of nine of these types of trials will last at least how long? Round to the nearest integer.

Answers

a)There is a 4% probability that all nine trials will last at least 225 days.

b)Approximately at least 163 days, 90% of the total of 9 of these trials will last.

Given, A typical criminal trial lasts 21 days on average, with a 7-day

standard variation. There are nine trials chosen at random.

Let's look at the mean, which is 21, and the standard deviation, which is 7, respectively. Sample size is 9 people.

Assume that X is the sum of the nine trails' days and X represents the total number of days.

It is understood that X may have any distribution if it is a random variable with an unknown or known distribution. If n is increased, the probability that the random variable X, which is made up of sums, has a normal distribution increases.

a)There is a 4% probability that all nine trials will last at least 225 days.

b)Approximately at least 163 days, 90% of the total of 9 of these trials will last.

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There is a 4% probability that all nine trials will last at least 225 days.

Approximately at least 163 days, 90% of the total of 9 of these trials will last.

What is the y/x rationp

Answers

Answer:

3/2

Step-by-step explanation:

9/6

(9:3)/(6:3) = 3/2


6/4

(6:2)/(4:2) = 3/2


3/2


Which example illustrates the associative property for addition?

(3 x 7) + 8 = 3+ (7 x 8) = (3x 8) + 7

(3+7) x 8 = 3 x (7 + 8) = (3 + 8) x 7

(3+ 7) + 8 = 3x (7 x 8) = (3 + 8) + 7

(3 + 7) + 8 = 3 + (7 + 8) = (3 + 8) + 7

Answers

Answer:

The answer is that the third example illustrates the associative property for addition. The associative property states that the order in which numbers are added does not affect the result. In other words, (a + b) + c = a + (b + c) for all numbers a, b, and c.

The third example follows this pattern:

(3 + 7) + 8 = 3 + (7 + 8) = (3 + 8) + 7

The other examples do not follow this pattern, so they do not illustrate the associative property for addition.

Step-by-step explanation:

The third example illustrates the associative property for addition. The associative property states that the order in which numbers are added does not affect the result. In other words, (a + b) + c = a + (b + c) for all numbers a, b, and c.

The third example follows this pattern:

(3 + 7) + 8 = 3 + (7 + 8) = (3 + 8) + 7

The other examples do not follow this pattern, so they do not illustrate the associative property for addition.

The first example illustrates the associative property for multiplication, which states that the order in which numbers are multiplied does not affect the result. In other words, (a x b) x c = a x (b x c) for all numbers a, b, and c.

The second example is not a valid mathematical expression, as it attempts to add a number and a product.

Answer:

(3 + 7) + 8 = 3 + (7 + 8) = (3 + 8) + 7

Step-by-step explanation:

The equations for associative property for addition are:

(a + b) + c = a + (b + c)

So, (3 + 7) + 8 = 3 + (7 + 8) = (3 + 8) + 7 is the answer!

125x ^ 3 - 27 = 0
Solve this by factoring

Answers

Answer:

x = 3/5

Step-by-step explanation:

[tex]125x^{3} -27=0[/tex]

[tex]125x^{3} =27[/tex]

[tex]\sqrt[3]{125x^{3} } =\sqrt[3]{27}[/tex]

[tex]5x=3[/tex]

[tex]x=\frac{3}{5}[/tex]

Hope this helps

Given an ABCD inscribed quadrilateral, where the AB side is the diagonal of the circum- circle of the quadrilateral. BC = 3cm, CD = 5 cm and BCDZ = 120°. Give the length of the BD diagonal, AB and AD sides and the other angles.​

Answers

Answer:

Step-by-step explanation:

Given an ABCD inscribed quadrilateral, where the AB side is the diagonal of the circum-circle of the quadrilateral, we can calculate various properties by using basic trigonometry. Firstly, let us determine the length of BD. Since BCDZ = 120° and BC = 3cm ,we can use Sine rule to find out BD which will be equal to 4 cm. Secondly, we need to find AB and AD sides lengths as well as other angles in order for our calculations to be complete. To do this we will use Cosine rule since all three sides are known: BC=3cm; CD=5cm;BD=4 cm . This gives us a value for angle CBD which is approximately 39° and consequently angle BAD is also 39° since they add up together (BAD+CBD)to 180 degrees due their being opposite each other on a straight line..Finally ,using cosine again with these new values gives us both AB(6)and AD(2).

To summarise : Lengths -AB: 6 cm ; BD : 4 cm ;AD 2CM   Angles - BCDZ :120 ° ; CBD & BAD :39 °

In conclusion , given an ABCD inscribed quadrilateral whose one side was already identified as its circumference diameter it was possible through simple trigonometric equations such s Sines Rule or Cosines Rule determine its remaining lengths ans angles accurately .

let's find.
[tex] \frac{3}{4} - \frac{1}{6} [/tex]

Answers

When adding and subtracting fractions, we need to get the denominators to be the same. This process is called finding the Least Common Multiple (LCM) of both numbers in the denominators. The LCM is the lowest number that 4 and 6 can form through factors.

So, we need to find the LCM of 4 and 6, so we’ll list the multiples of both numbers to find a common factor.

LCM of 4 and 6:

4: 4, 8, 12, 16

4•1=4, 4•2=8, 4•3=12, and 4•4=15

6: 6, 12, 18

6•1=6, 6•2=12, 6•3=18

The LCM is the product of two factors of different numbers. Looking at the list, the least common multiple is 12 because 12 is a product of two factors of 4 and 6. Therefore, the goal is to get both denominators equal to 12 through multiplication.

3/4 - 1/6

To do this, we need to multiply each fraction by a factor that produces 12. We know that 4•3=12 and 6•2=12, meaning to get 12 as both denominators, we must multiply 3/4 by 3 and 1/6 by 2. Remember, to preserver the fraction’s proportionality, we need to multiply the entire fraction by these factors, meaning the numerator and denominator.

3•3/4•3 - 2•1/2•6

Because 4•3=12 and 6•2=12, the denominators will both be twelve, but the numerators of both fractions also must be multiplied.

9/12 - 2/12

Now that we have common denominators, we can subtract the fractions. The rule for subtracting and adding fractions is to add the denominators and keep the denominators untouched.

9/12 - 2/12 = 9-2/12

Answer: 7/12

Let the set be defined as follows. A= 5, 8, 34, 59, 73, 79,89. Find the total number of proper subsets of A. Find the total number of subsets of A.

Answers

Answer:

Step-by-step explanation: As we know the number of elements in set A are 7 and the formula to calculate the number of proper subsets is 2^n – 1

Therefore substituting the values in formula .  n is number of elements of set A. Here n=7

so 2^7-1= 128-1=127

Ans:127

What is the value of c?
c= ? °

Answers

Answer:

c = 50°

Step-by-step explanation:

Since Triangle QRP is an isosceles triangle, the base angles of the triangle are equal.

Angle RQP = 180 - 115

= 65° (sum of angles on straight line)

Angle RPQ = Angle RQP = 65°

c = 180 - 65 - 65

= 50° (sum of angles in a triangle)

2. (5 pts) An angle, A, is 11 times larger than its supplement, B. Find the angles (be sure to say which is which).

Answers

Answer:

So, a+2a=180°

Simplify.

3a=180°

To isolate a , divide both sides of the equation by 3 .

3a3=180°3    a=60°

The measure of the second angle is,

2a=2×60°       =120°

So, the measures of the two supplementary angles are 60° and 120° .

DEF is shown on the coordinate plane below.

D(-9,8)
E(9,5)
F(-5,-9)
What is the perimeter of DEF? If necessary, round your answer to the nearest tenth.

Answers

Answer:

55.5

Step-by-step explanation:

[tex]DE=\sqrt{(-9-9)^2+(8-5)^2}=\sqrt{333} \\ \\ DF=\sqrt{(-9-(-5))^2+(-9-8)^2}=\sqrt{305} \\ \\ EF=\sqrt{(-5-9)^2+(-9-5)^2}=\sqrt{392}[/tex]

The perimeter is thus [tex]\sqrt{333}+\sqrt{305}+\sqrt{392} \approx 55.5[/tex].

x + 2y=-6
y = 2z =2
-2x- 6y + 5z =26

Answers

To eliminate y from the first equation, we can multiply the entire equation by -2. This will give us:

-2x - 4y = -12

Now, if we add this equation to the second equation, the y terms will cancel out, leaving us with:

-2x - 4(2) + 5z = 26

-2x + 5z = 26

Now we have two equations in two variables, x and z. We can solve this system of equations by substituting the value of y from the second equation into the first equation. This gives us:

x + 2(2) = -6

x = -10

Substituting this value of x into the second equation, we get:

-2(-10) + 5z = 26

20 + 5z = 26

5z = 6

z = 1.2

Finally, we can substitute the values of x and z back into the second equation to find the value of y:

-2(-10) - 6(1.2) + 5(1.2) = 26

20 - 7.2 + 6 = 26

12.8 = 26

This system of equations has no solution, since we have found values of x and z that make the second equation true, but substituting these values into the first equation results in a false statement. This means that there is no set of values for x, y, and z that will make all three equations true at the same time.

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A principal P, invested 9.5% compounded continuously, increases to an amount K times the original principal after t years, where t = ln(K)/0.095.

a. Complete the table. (Round your answers to one decimal place)

K t
1
2
3
4
6
8
10
12


b. Sketch the graph of the function.

Answers

Answer:

[tex]\begin{array}{|c|c|}\cline{1-2}\vphantom{\dfrac12} K & t\\\cline{1-2} \vphantom{\dfrac12} 1 & 0\\\vphantom{\dfrac12} 2 & 7.3\\\vphantom{\dfrac12} 3&11.6 \\\vphantom{\dfrac12} 4& 14.6\\\vphantom{\dfrac12} 6&18.9 \\\vphantom{\dfrac12} 8& 21.9\\\vphantom{\dfrac12} 10& 24.2\\\vphantom{\dfrac12} 12&26.2\\ \cline{1-2}\end{array}[/tex]

See attachment for the graph.

Step-by-step explanation:    

Part (a)

Given equation for t:

[tex]t=\dfrac{\ln (K)}{0.095}[/tex]

Substitute the given values of K into the equation for t and round the answers to one decimal place:

[tex]\begin{array}{|c|c|}\cline{1-2}\vphantom{\dfrac12} K & t\\\cline{1-2} \vphantom{\dfrac12} 1 & 0\\\vphantom{\dfrac12} 2 & 7.3\\\vphantom{\dfrac12} 3&11.6 \\\vphantom{\dfrac12} 4& 14.6\\\vphantom{\dfrac12} 6&18.9 \\\vphantom{\dfrac12} 8& 21.9\\\vphantom{\dfrac12} 10& 24.2\\\vphantom{\dfrac12} 12&26.2\\ \cline{1-2}\end{array}[/tex]

Part (b)

To sketch the graph of the given function (see attachment):

Plot the values of K along the x-axis.Plot the values of t along the y-axis.Plot the points from the table from part (a).Draw a curve through the plotted points.

James was eating a bag of candies that came in eight different colors. He noticed that there appeared to be far fewer green candies than any of the other colors and wondered if the true proportion of green candies was lower than the 12.5% that would be expected if all of the candies came in even amounts. For the sake of statistics, he decided that he would need to buy more candy to test his hypothesis. James randomly selected several bags and candies and recorded the color of each piece of candy. He found that out of the first 400 candies that he chose, 39 of them were green. James conducts a one-proportion hypothesis test at the 5% significance level, to test whether the true proportion of green candies was lower than 12.5%.

Answers

uuuuuuuuuuuuuuuurrrrrrrrrrrrrrrr mom

A box exerts a force of 10,000 N over an area of 1 m2. What pressure is the box exerting on the floor?

Answers

Answer:

The area is in contact with the ground if A box exerts 10,000 Pa of pressure on the ground. If the box weighs 1000 N is 10 m².

( which is D/10 m²).

Step-by-step explanation:

so what is pressure?

In the physical sciences, pressure is defined as the stress at a point within a confined fluid or the perpendicular force per unit area. A 42-pound box with a bottom area of 84 square inches will impose pressure on a surface equal to the force divided by the area it is applied to, or half a pound per square inch.

Answer: 10,000 pa

Step-by-step explanation:

Pressure = Force / Area

Force = 10,000

Area = 1 m^2

Pressure = 10,000 / 1

Pressure = 10,000 pa.

Nathan and some friends are going to the movies. At the theater, they sell a bag of popcorn for $4.50 and a drink for $4.25. How much would it cost if they bought p bags of popcorn and d drinks?

Answers

If they purchased 7 bags of popcorn and 3 drinks, the price would be $44.25; p bags of popcorn and d beverages would cost 4.50p+4.25d.

What is a formula?

Equation is the name given to two or more expressions with the equal sign.

Due to that

$4.50 worth of popcorn

beverage for $4.25.

There are 3 drinks and 7 bags of popcorn.

So let's calculate the overall cost.

7(4.50)+3(4.25)

31.5+12.75

44.25

So if they purchased 7 bags of popcorn and 3 beverages, the price would be $44.25

The price for p bags of popcorn and d drinks must now be determined.

4.50p+4.25d

Therefore, the price would be $44.25 if they purchased 7 bags of popcorn and 3 drinks, and the cost would be 4.50p+4.25d for p bags of popcorn and d beverages.

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