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nydimaria [60]
3 years ago
13

The perimeter of a patio is 64 feet. The width of the patio is 12 feet and the length of the patio is ( ) x + 6 feet. What is th

e length of the patio?
Mathematics
1 answer:
evablogger [386]3 years ago
6 0
20 feet, 12+12+L+L=64 so you simplify and it becomes 24+L+L=64. Take away 24 from 64 and you get 40. 40 divided by 2 equals 20, and you can plug 20 into the L spots and it all works.
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Complete the puzzle by clicking on the puzzle piece that contains equivalent expression.
Liono4ka [1.6K]

Answer:

 -5 when ...

Step-by-step explanation:

The rules of exponents can help you simplify the given product.

<h3>Rules</h3>

  (a/b)^c = (a^c)/(b^c)

  (ab)^c = (a^c)(b^c)

  (a^b)(a^c) = a^(b+c)

  (a^b)/(a^c) = a^(b-c)

<h3>Application</h3>

  \left(\dfrac{x}{y}\right)^2(-x^2y)^3=\\\\\dfrac{x^2(-1)^3(x^2)^3y^3}{y^2}=-x^{2+2\cdot3}y^{3-2}=-x^8y

This expression does not match any of those offered.

When x=-1 and y=5, this becomes ...

  -(-1)^8(5)=\boxed{-5}

8 0
1 year ago
A polling organization asked a nation-wide random sample of 1600 new brides (those who got married in the past 2 years) the foll
iren [92.7K]

Answer:

It has millions of tickets. On each ticket is written a number a dollar amount. The exact average and SD are unknown but are estimated from the sample to be $20,000 and $5,000 respectively.

Step-by-step explanation:

Given that:

sample size n = 1600

sample mean \overline x = 20000

standard deviation = 5000

The objective is to choose from the given option about what most closely resembles the relevant box model.

The correct answer is:

It has millions of tickets. On each ticket is written a number a dollar amount. The exact average and SD are unknown but are estimated from the sample to be $20,000 and $5,000 respectively.

However, if draws are made without replacement, the best estimate of the average amount for the bride will be $20,000

Similarly, the standard error for the sample mean = \dfrac{s}{\sqrt{n}}

= \dfrac{5000}{\sqrt{1600}}

= \dfrac{5000}{40}}

the standard error for the sample mean = 125

4 0
3 years ago
In the accompanying diagram of parallelogram ABCD,diagonals AC and DB intersect at E, AE = 3x - 4, andEC = x + 12.What is the va
skelet666 [1.2K]

x = 8

Explanation:

AE = 3x - 4

EC = x + 12

SInce diagonals AC and DB intersect at E

it means the lines which meet at the intersection E are equal. A and C meet at E which gives AE and EC

AE = EC

3x - 4 = x + 12

collect like terms:

3x - x = 12 + 4

2x = 16

divide both sides by 2:

2x/2 = 16/2

x = 8

4 0
1 year ago
An employer uses the linear regression equation y = 0.18 x + 320.22 to predict the weekly salary, y, of an employee who sells x
Nata [24]

Answer:

Option C is correct.

Alex earned about $60 more than Joaquin did.

Step-by-step explanation:

The linear regression equation

y = 0.18 x + 320.22

is used to predict the weekly salary, y, of an employee who sells x dollars worth of merchandise.

Joaquin sold $1500 worth of goods. Meaning that x for that week for Joaquin is 1500.

Joaquin' s salary for that week is then given as

y = 0.18x + 320.22

y = 0.18(1500) + 320.22 = 590.22

Hence, Joaquin's salary for that week = $590.22

Alex earns $650 that week. Meaning that y for Alex in that week = 650

y = 0.18x + 320.22

650 = 0.18x + 320.22

0.18x = 650 - 320.22 = 329.78

x = (329.78/0.18) = 1832.1

Hence, Alex sold goods worth $1832.1 that week.

Joaquin sold goods worth $1500

Joaquin earned $590.22

Alex sold goods worth $1832.1

Alex earned $650

From this calculation, it is evident that 'Alex earned about $60 more than Joaquin did' is the correct option as $650 is about $60 more than $590.22

Hope this Helps!!!

7 0
3 years ago
Read 2 more answers
What is two thirds equal to
Luden [163]

Answer:

2/3 = 0.6666666666666667 or just 67%.

Step-by-step explanation:

5 0
3 years ago
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