What is the length of a rectangle if its width is 7 feet and its area is 84 square feet?

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Answer:

0.20(15+x)=6

Step-by-step explanation:

(0.20)(15) + 0.20x = 6

3 + 0.20x = 6

0.20x = 3

x = 3/0.20

x = 15

Rob's Iunch was $15.

Check it:  

15+15=30  

30x0.20=6

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Answer:

46

Step-by-step explanation:

Sum of all the Arcs of a circle = 360.

So, the angle of the 3 arcs is

153 + 115 + x =360

=>268+x=360

=> x = 92

*** x = Arc FG

We know that the inscribed angle is 1/2 times the amount that of the intercepted arc.

=> Inscribed Angle = 1/2 * Intercepted Arc

=>  ? = 1/2* Arc FG

=> ? = 1/2 * 92

=> Angle E = 46

Answer

74+2

Step-by-step explanation:

Answer:

12 units

Step-by-step explanation:

(-4 , 10)  ;  [tex]x_{1} = -4[/tex]   and  [tex]y_{1} = 10[/tex]

(8 ,10)  ;    [tex]x_{2} = 8[/tex]      and  [tex]y_{2}= 10[/tex]

Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

              [tex]= \sqrt{(8-[-4])^{2}+(10-10)^{2}}\\\\=\sqrt{(8+4)^{2}+0}\\\\= \sqrt{12^{2}}\\\\= 12 units[/tex]

Answer:

3.125%

0%

Step-by-step explanation:

A regular coin has two sides, meaning that each side has the same probability of landing which is 50%. Therefore, for the game to end exactly on the fifth flip it would need to land 3 times in a row on tails and the last 2 times on heads. Therefore, to get this probability we need to multiply 0.50 (50%) 5 times

0.5 * 0.5 * 0.5 * 0.5 * 0.5 = 0.03125 or 3.125%

Now the probability of three heads appearing in a sequence is 0% because after the second head in a row the game will automatically end.

Part(a): The probability that the game ends by flipping exactly five coins is [tex]0.5[/tex]

Part(b):  The probability that three heads appear in the sequence is [tex]0.5[/tex].

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e. How likely they are to happen, using it.

Part(a):

The Probability of games ends by flipping exactly five coins is,

[tex]P((TTTHH),(HTTHH),(THTHH),(HHTHH))=(1-p)^3p^2+2(1-p)^2p^3+(1-p)p^4[/tex]

Where [tex]p=P(H)[/tex]

When the coin is fair so the probability is,

[tex]P(H)=\frac{1}{2}[/tex]

P(game ends by flipping exactly five coins)=[tex]\frac{2^2}{2^5} =0.125[/tex]

Part(b):

The Probability of games ends by flipping exactly three heads is,

[tex]\frac{2(1-p)^2p^3}{(1-p)^3p^2+2(1-p)^2p^3+(1-p)p^4}[/tex]

Where [tex]p=P(H)[/tex]

When [tex]p=0.5[/tex] then the above probability is [tex]0.5[/tex]

Learn more about the topic of Probability:

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Answer:

PQO = 180

OQR = 180

PQR = 220

Step-by-step explanation:

brainliest

Answer:

Since [tex]f(25\,ft) < 8\,ft[/tex], then we conclude that it will be a goal.

Step-by-step explanation:

Let the trajectory of the ball be represented by [tex]f(x) = -0.05\cdot (x-16)^{2}+11[/tex], where [tex]x[/tex] is the horizontal distance of the ball from origin, in feet, and [tex]f(x)[/tex] is the height of the ball above ground, in feet.

If Deshawn does not block Chris's shot, then we should check if shot will be a goal and this condition must be fulfilled:

[tex]f(25\,ft) < 8\,ft[/tex] (1)

If we know that [tex]x = 25\,ft[/tex], then the height of the ball at the start of the goal is:

[tex]f(x) = -0.05\cdot (x-16)^{2}+11[/tex] (2)

[tex]f(x) = 6.95\,ft[/tex]

Since [tex]f(25\,ft) < 8\,ft[/tex], then we conclude that it will be a goal.

Answer:

He has 244 left

Step-by-step explanation:

18.7% = 0.187

300(0.187) ≈ 56

300 - 56 = 244

Answer:

100[tex]\pi[/tex] (or about 314)

Step-by-step explanation:

So it's a circle, meaning that the formula for area is [tex]\pi r^{2}[/tex]. r= diameter divided by 2, so r=10. plug into equation and you get 100[tex]\pi[/tex].

314 is when you round pi to 3.14 and multiply by 100.

Answer:

Im not so sure about the answers that i picked if you want to use them use them

Step-by-step explanation:

y=13-2x^2

y=x+7

2=y + x^5

Answer:

1 4

2 8

3 12

6 24

for next year, its 32

Step-by-step explanation:

cauz 8 divided by 2 is 4

Also since it goes up by four, 3 is 12 and 6 is 24

9514 1404 393

Answer:

  120

Step-by-step explanation:

The dimension across the front in terms of cubes is ...

  5/3 cm = 5×(1/3 cm) = 5 cubes

The front-to-back dimension in terms of cubes is ...

  4/3 cm = 4×(1/3 cm) = 4 cubes

The height in terms of cubes is ...

  2 cm = 6×(1/3 cm) = 6 cubes

Then the volume in terms of cubes is ...

  V = LWH = 5×4×6 = 120 cubes

It will take 120 cubes to fill the prism.

The question is incomplete. The complete question is :

A local movie theater is trying to find the best price at which to sell popcorn To reach its goal of making at least 550,000 from popcorn sales this year, the theater decided to hire a consulting firm to analyze its business The firm determined that the best case scenario for the theater's revenue generated from popcorn sales, while meeting its revenue goals, is given by this system of inequalities, where r represents the revenue in tens of thousands of dollars and p represents the sale price of popcorn in dollars [tex]$r \leq -0.23p^2+2.25p$[/tex] and r ≥ 5 solutions Complete the statement( a viable solution, both a viable and a nomlable solution). The point (4,6) a nonviable solution The point (6,5) mola bouton of this system of this system.

Solution :

Total amount to be targeted by selling of popcorns in the movie theatre is 550,000.

A viable solution is one which has a definite meaning or definite solution to the question in context whereas a non viable solution does not have a definite relevant solution to the question.

In the context,

The point (4,6) is a non viable solution as it does not satisfy 1st inequality and only satisfies the second inequality.

The point (6,5) is a viable solution as it satisfies both the inequalities.

Answer:

The point of (4,6) is not a solution of this system/

The point of (6, 5) is a viable solution of this sytem

Step-by-step explanation:

Plato LIves Matter

Answer:

4050 cubic feet.

Step-by-step explanation:

Let's first find the volume of the green cube. It is the edge length cubed, or 15^3 which equals 3375.

Now, let's find the volume of the brown pyramid on the cube. To find the volume, multiply the  base of the pyramid by the height, then divide by 3.

Using the edge length of 15, we can find that the square is 15^2 which equals 225.

Multiply 225 by the height 9,

225*9=2025

Then divide by 3.

2025/3=675.

Knowing the volume of the green cube, 3375, and the volume of the brown pyramid, 675, we can find that the volume of the entire figure is

3375 +675=4050 cubic feet.

Answer:

100/25 = 4

so an equivalent would be 12/3

Answer and Step-by-step explanation:

100 divided by 25 is equal to 4., or [tex]\frac{4}{1}[/tex].

That is equivalent to [tex]\frac{100}{25}[/tex].

#teamtrees #PAW (Plant And Water)

Mi Gusta

Answer:  14

Step-by-step explanation:

We arrange the number as -3,  1, 7, 8, 18, 19, 42, the old median is 8.

But the median has change to 11 when the number is add, which means that the number is between 7 and 18.

(8 + x)/2 = 11      Where x is the new number

8 + x = 22

x = 14

Answer:     You need to calculate the area of two polygonal bases, i.e., the top face and bottom face.

Step-by-step explanation:

9514 1404 393

Answer:

  B, E, F

Step-by-step explanation:

A. 4x and 5 + x

B. 2b + b and 3b

C. 3x and 3 + x

D. a ÷ 1/3 and 1/3 a

E. a ÷ 1/3 and a × 3

F. 1a and a

_____

Comment on the above

ax is multiplication of x by 'a'. a+x is addition. They are different operations.

x/(1/3) is not the same as x(1/3). Multiplication and division are different operations.

Answer:

3.14, radius of this circle is 1 and 1^2 is 1 and 1x3.14 is 3.14

Step-by-step explanation:

Answer:

Step-by-step explanation:

the real answer is m=12:))

The solution is, c3 = 24 cases, and, c4 = 96 cases.

A percentage can be stated as a number or ratio that can be expressed as a fraction of 100. A percentage usually represented as a number or ratio expressed as a fraction of 100. It is usually denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number which has no unit of measurement.

here, we have,

given that,

Total time in a week = 40 hours = 2400 minutes

Total time Administrator is utilized = 50 * 20 = 1000 minutes

Total time Senior accountant is utilized= 20% * 50 * 40 = 400 minutes

Total time Junior accountant is utilized = 40%*50*15 = 600 minutes

For Total cases, Total capacity

= Total time / Bottlenck time (Administrator)

= 2400 / 20

= 120 cases

C-3) Capacity of new customers at 20:80 ratio = 20% * 120 = 24 cases

C-4) Capacity of repeat customers at 20:80 ratio = 20%*120 = 96 cases

c-1 = Flow rate

= min ( demand, capacity) for new customers

= 10 new cases / week (20%*50)

c-2 = Flow rate

= 40%*50

= 40 cases / week

c3 = 24 cases

c4 = 96 cases

Hence, The solution is, c3 = 24 cases, and, c4 = 96 cases.

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Answer:

88.4505 kilograms

Step-by-step explanation:

Answer:

x=158

Step-by-step explanation:

109=-x+267

-267     -267

-158=-x

x=158

(also i noticed part of your question says x=(?)*5 and 31.6*5 is 158 so that would be 31.6)

The comparison of the functions is

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

The graph of the two functions

For the linear function, we have

y-intercept = 0

Rate = 50/1 = 50

So, the function is

y = 50x

For the exponential function, we have

y-intercept = 1

Rate = 250/150 = 5/3

So, the function is

y = (5/3)ˣ

Comparing the functions, we have

Read more about functions at

https://brainly.com/question/27915724

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Step-by-step explanation:

since it's negative it'll give you a different answer:)