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DochEvi [55]
4 years ago
6

The sum of the digits of a 2-digit number is 11. If the digits are reversed, the number formed is 45 more than the original numb

er. Find the original number
Mathematics
1 answer:
jeka57 [31]4 years ago
6 0
<h2>the original number is 38</h2>

Step-by-step explanation:

Let the two-digit number be 10t+u where t is the tens digit and u the units digit.

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

EQUATION:

t+u = 11

10u+t = 10t+u + 45

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

Rearrange the equations:

t+u = 11

9t-9u = -45

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

Simplify:

 

t+u = 11

t-u = -5

---------

Add the equations to solve for "t":

2t = 6

t = 3

--------

Substitute to solve for "u":

3+u = 11

u = 8

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GREYUIT [131]

The total cost for utilities last month is 353,571.43.

<h3>What is the total cost for utilities last month?</h3>

The total cost for utilities last month can be determined by multiplying the volume of the stadium by the cost per cubic foot.

The volume of the stadium can be determined by using the formula for the volume of a hemisphere.

Volume of a hemisphere = Volume of a hemisphere = (2/3) x (n) x (r^3)

n = 22/7

r = radius

2/3 x 22/7 x 150³ = 7071,428.57

The total cost for utilities last month =  7071,428.57 x 0.05 = 353,571.43

To learn more about volume, please check: brainly.com/question/13705125

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2 years ago
A line is parallel to y=4x-2 and intersects the point (-1, -2) what is the equation of this parallel line?
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Answer:

y = 4x + 2

Step-by-step explanation:

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8 0
3 years ago
The thickness (in millimeters) of the coating applied to hard drives is one characteristic that determines the usefulness of the
Ede4ka [16]

Answer:

The sampling distribution of X, for a sample of size 16, will be approximately normal with mean 2 mm and standard deviation 0.01 mm.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For the population:

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Describe the sampling distribution of X (for a sample of size 16).

Sample of size 16 means that n = 16

By the Central Limit Theorem, approximately normal with mean 2 and standard deviation s = \frac{0.04}{\sqrt{16}} = 0.01

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3 years ago
Plz help what’s the answer
Maslowich

Answer:

a. 192 b.60 c. 184, 164, 350

Step-by-step explanation:

a.Total of males=88+104

b.Female, Anaerobic=156-96

c. aerobic= 88+96=184

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