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Vladimir79 [104]
3 years ago
15

Work out the area of a rectangle with base, b = 20mm and perimeter, P = 60mm.

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
8 0

base+perimeter

20mm+60mm

=80mm

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HELP!!!!
VashaNatasha [74]

Step 1: Assign variable for the unknown that we need to find.

Let x be the charge/person who are under age 12

Let y be the charge/person who are over age 12, and

Let z be the charge/person who are adults.

Step 2: Based on the information given write mathematical equation

Statement 1: "A family with 2 kids under age 12, 3 kids over age 12, and 3 adults pays $174 for entrance to the park"

For Under Age 12, 1 kid charge $x, so 2 kids under age 12 charge will be $2x.

For Over Age 12, 1 kid charge $y, so 3 Kids over age 12 charge will be $3y.

For Adults, 1 Adult charge $z, so 3 Adults charge will be $3z

Based on the above statement which mentions the number of person in the family and total cost of $174, we can write our 1st equation as

2x + 3y + 3z = 174 ⇒ 1st Equation

Statement 2: "A mother and father bring their 4 kids under age 12 at a cost of $122"

4 kids under 12 will be charged $4x, & 2 Adults (Mother and father) will be charged $2z, and total cost is given as $122.

Based on the above statement 2, we can write the 2nd equation as

4x + 2z = 122 ⇒ 2nd Equation

Statement 3: A grandmother who brings her teenage granddaughter to the park pays $46.

Grandmother will be considered an adult with teenage granddaughter who need to be considered as kid over age 12.

So we can write the third equation as

y + z = 46 ⇒ 3rd equation.

Step 3: Solve the three equation using substitution method

2x + 3y + 3z = 174 ⇒ 1st Equation

4x + 2z = 122 ⇒ 2nd Equation

y + z = 46 ⇒ 3rd equation

Factoring 3 in the left side of the last two terms of 1st equation we get...

2x + 3(y + z) = 174

Then substituting 46 for y + z we get

2x + 3(46) = 174

2x + 138 = 174 { Subtracting 138 on both sides }

2x +138 - 138 = 174 - 138 {Combining like terms on either side of the equation}

2x = 36 {Dividing 2 on both sides}

2x/2 = 36/2 {Simplifying each fraction}

<em>x = 18</em>

Substituting 18 for x in 2nd equation, 4x + 2z = 122

4(18) + 2z = 122

72 + 2z = 122 {Subtracting 72 on both sides of the equation}

72 + 2z - 72 = 122 - 72 {Combining like terms on both sides of the equation}

2z = 50 {Dividing by 2 on both sides}

2z/2 = 50/2 {Simplifying fraction on both sides of equation}

<em>z = 25</em>

Substituting 25 for z in the 3rd equation y + z = 46

y + 25 = 46 { Subtracting 25 on both sides of the equation }

y + 25 - 25 = 46 - 25 {Combining like terms on either side of the equation}

<em>y = 21</em>

Conclusion:

The cost for an Kid who are under age 12 to enter the theme park = $18

The cost for an Kid who are over age 12 to enter the theme park = $21

<u><em>The cost for an adult to enter the theme park = $25</em></u>

5 0
3 years ago
A small hair salon in Denver, Colorado, averages about 82 customers on weekdays with a standard deviation of 16. It is safe to a
Natali5045456 [20]

Answer:

There is a 3.44% probability to get a sample average of 93 or more customers if the manager had not offered the discount.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by

Z = \frac{X - \mu}{\sigma}

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

In this problem, we have that:

A small hair salon in Denver, Colorado, averages about 82 customers on weekdays with a standard deviation of 16. This means that \mu = 82, \sigma = 16

She reports that her strategy has worked since the sample mean of customers during this 7 weekday period jumps to 93. What is the probability to get a sample average of 93 or more customers if the manager had not offered the discount?

This is 1 subtracted by the pvalue of Z when X = 93.

We also have to find a standard deviation of the sample(that is, the 7 days), so:

s = \frac{\sigma}{\sqrt(7)} = \frac{16}{\sqrt(7)} = 6.05

Z = \frac{X - \mu}{\sigma}

Z = \frac{93-82}{6.05}

Z = 1.82

Z = 1.82 has a pvalue of 0.9656.

This means that there is a 1-0.9656 = 0.0344 = 3.44% probability to get a sample average of 93 or more customers if the manager had not offered the discount.

6 0
3 years ago
Select all of the following points that lie on the graph of f(x) = 7 - 3x. (-2, 1) (-1, 10) (0, 7) (1, 5) (2, 1)
lesya [120]
(-1,10), (2,1) , (0,7), (-2,1)
8 0
3 years ago
:)))))) ))): what is the answer
kicyunya [14]
Well , its upside down...
4 0
3 years ago
PLEASE RESPOND! !!
cestrela7 [59]

Answer:

36/132

Step-by-step explanation:

36/132, .27, 27%...

6 0
3 years ago
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