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3 years ago

What does 9y =27 equation mean

Mathematics

2 answers:

MrRa [10]3 years ago

4 0

9y=27

divide by 9 each side

9y/9y=27/9

y=3

77julia77 [94]3 years ago

4 0

Hello!

Explanation:

First, you had to divide by 9 from both sides of an equation.

$\frac{9y}{9}= \frac{27}{9}$

Then, you simplify.

$27/9=3$

You can also multiply/divide by the numbers.

$27/3=9$

$3*9=27$

$9*3=27$

$\boxed{y=3}$

Hope this helps!

Thank you!

Have a great day!

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There are 15 candidates for 4 job positions.

Veronika [31]

Answer:

32760 ways

Step-by-step explanation:

Given

Number of Candidates = 15

Job Positions = 4

Required:

Number of outcomes

This question represent selection; i.e. selecting candidates for job positions;

This question can be solved in any of the following two ways

Method 1.

The first candidate can be chosen from any of the 15 candidates

The second candidate can be chosen from any of the remaining 14 candidates

The third candidate can be chosen from any of the remaining 13 candidates

The fourth candidate can be chosen from any of the remaining 12 candidates

Total Possible Selection = 15 * 14 * 13 * 12

Total Possible Selection = 32760 ways

Method 2:

This can be solved using permutation method which goes thus;

$nPr = \frac{n!}{(n-r)!}$

Where n = 15 and r = 4

So;

$nPr = \frac{n!}{(n-r)!}$ becomes

$15P4 = \frac{15!}{(15-4)!}$

$15P4 = \frac{15!}{11!}$

$15P4 = \frac{15*14*13*12*11!}{11!}$

$15P4 = 15*14*13*12$

$15C4 = 32760$

Hence, there are 32760 ways

8 0

4 years ago

Gabby and Sydney bought some pens and pencils. Gabby bought 4 pens and 5 pencils for $6.71. Sydney bought 5 pens and 3 pencils f

denpristay [2]

Answer:

The cost of each pens is $1.19

The cost of each pencils is $0.39

Step-by-step explanation:

Given as :

The number of pens bought by Gabby = 4

The number of pencils bought by Gabby = 5

The number of pens bought by Sydney = 5

The number of pencils bought by Sydney = 3

The total cost of Gabby items = $6.71

The total cost of Sydney items =$7.12

Let The cost of each pens = x

And The cost of each pencils = y

Now, According to question

For Gabby

4 x + 5 y = $6.71 .............1

For Sydney

5 x + 3 y = $7.12 .............2

Now, Solving both equations

5 × (4 x + 5 y) - 4 × (5 x + 3 y) = 5 × 6.71 - 4 × 7.12

Or, 20 x + 25 y - 20 x - 12 y = 33.55 - 28.48

Or, (20 x - 20 x) + (25 y - 12 y) = 5.07

or, 0 + 13 y = 5.07

∴ y = $\frac{5.07}{13}$

I.e y = $0.39

So, The cost of each pencils = y = $0.39

Again , put The value of y in eq 1

I,e 4 x + 5 y = $6.71

Or, 4 x + 5 × 0.39 = 6.71

or, 4 x + 1.95 = 6.71

or, 4 x = 6.71 - 1.95

or , 4 x = 4.76

∴ x = $\frac{4.76}{4}$

I.e x = $1.19

The cost of each pens = x = $1.19

Hence The cost of each pens is $1.19

And The cost of each pencils is $0.39 Answer

6 0

3 years ago

What could the dimensions of a rectangle with an area of 48 inches be?

Dvinal [7]

To find an area of a rectangle, we use this method: A = lw (length x width)

We need to replace a(rea) with 48.

48 = lw.

The following expressions can be used:

1 x 48.

2 x 24.

3 x 16.

4 x 12.

6 x 8.

8 x 6.

12 x 4.

16 x 3.

24 x 2.

48 x 1.

6 0

2 years ago

The mean preparation fee H&R Block charged retail customers in 2012 was $183 (The Wall Street Journal, March 7, 2012). Use t

astraxan [27]

Answer:

a)0.6192

b)0.7422

c)0.8904

d)at least 151 sample is needed for 95% probability that sample mean falls within 8$ of the population mean.

Step-by-step explanation:

Let z(p) be the z-statistic of the probability that the mean price for a sample is within the margin of error. Then

z(p)= $\frac{ME*\sqrt{N}}{s }$ where

Me is the margin of error from the mean

s is the standard deviation of the population

N is the sample size

z(p)= $\frac{8*\sqrt{30}}{50 }$ ≈ 0.8764

by looking z-table corresponding p value is 1-0.3808=0.6192

z(p)= $\frac{8*\sqrt{50}}{50 }$ ≈ 1.1314

by looking z-table corresponding p value is 1-0.2578=0.7422

z(p)= $\frac{8*\sqrt{100}}{50 }$ ≈ 1.6

by looking z-table corresponding p value is 1-0.1096=0.8904

Minimum required sample size for 0.95 probability is

N≥ $(\frac{z*s}{ME} )^2$ where

N is the sample size

z is the corresponding z-score in 95% probability (1.96)

s is the standard deviation (50)

ME is the margin of error (8)

then N≥ $(\frac{1.96*50}{8} )^2$ ≈150.6

Thus at least 151 sample is needed for 95% probability that sample mean falls within 8$ of the population mean.

7 0

3 years ago

Which is the pattern for factoring the sum of cubes

vovikov84 [41]

Answer: Its B

Step-by-step explanation: trust me i had this test

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3 years ago

Read 2 more answers