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seropon [69]
3 years ago
11

Mike is 5 more than twice Carl's age. Mike's age plus Carl's age is 41. How old is Mike?

Mathematics
1 answer:
ohaa [14]3 years ago
3 0
Mike is 29.

5+2x+x=41
5+3x=41
3x=36
x=12

5+2x=Mike’s Age
5+2(12)= Mike’s Age
29= Mike’s Age
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Which series of transformation were performed in the figure?
Vaselesa [24]

Answer:

The correct answer is of option B.

4 0
3 years ago
Read 2 more answers
A small forest fire is cited due north of a fire lookout tower on Pikes Peak. From a second tower located 12.6 miles due west of
Brums [2.3K]

Answer:

10.76 miles

Step-by-step explanation:

<em>The following figure can be drawn from the information given.</em>

<em>We have to find the adjacent side which is between the given angle and 90 degrees.</em>

<em>Tan formula will be applied</em>

Tan (anlge) = opposite/adjacent

Opposite = 12.6

Angle = 49.5°

Adjacent = x

Tan (49.5°) = 12.6/x

x = 10.76 miles

Therefore, the fire is 10.76 miles away from the tower Pikes Peak.

!!

5 0
3 years ago
Margo paid $550.00 for dance classes. She paid a $50.00 registration fee and $25.00 for each week she was enrolled in the classe
trapecia [35]

Answer:

She enrolled in the dance classes for 20 weeks

Step-by-step explanation:

* Margo paid $550.00 for dance classes

* She paid a $50.00 registration fee

* She paid $25.00 for each week she was enrolled in the classes

* We need to find the number of weeks w she enrolled in the

  dance classes

<u><em>Lets write an equation of these information and solve it</em></u>

∵ The registration fee = $50

∵ The cost of of each week = $25

∵ The number of weeks = w

She will pay $50 plus $25 times the number of the weeks

∴ She paid in the dance classes = 50 + 25 w

∵ She paid $550 for the dance classes

∴ 50 + 25 w = 550

The equation is 50 + 25 w = 550

<u><em>Lets solve the equation</em></u>

∵ 50 + 25 w = 550

Subtract 50 from both sides

∴ 25 w = 500

Divide both sides by 25

∴ w = 20

∵ w represents the number of the weeks

∵ w = 20 weeks

<em>She enrolled in the dance classes for 20 weeks</em>

5 0
3 years ago
Consider a sample with a mean of 30 and a standard deviation of 5. Use chebyshev's theorem to determine the percentage of data w
RSB [31]

With the help of Chebyshev's theorem, the percentage of data between 5 to 45 is 89%.

<h3>What is Chebyshev's theorem?</h3>

The minimum percentage of observations that are within a given range of standard deviations from the mean is calculated using Chebyshev's Theorem.

Numerous other probability distributions can be applied to this theorem.

Chebyshev's Inequality is another name for Chebyshev's Theorem.

One of many theorems established by Russian mathematician Pafnuty Chebyshev is known as Chebyshev's theorem.

According to Bertrand's postulate, there is a prime between n and 2n for every n.

So, the percentage of data within 15 to 45 is:

In this instance, we're looking for numbers between 15 and 45.

Since 30 -3*5 = 20 and 30 + 3*5 = 45, we are therefore within 3 deviations of the mean. So, since k = 3, we can find the percent as follows:

% = (1 - 1/3²) × 100 = 88.88% = 89%

Therefore, with the help of Chebyshev's theorem, the percentage of data between 5 to 45 is 89%.

Know more about Chebyshev's theorem here:

brainly.com/question/28482338

#SPJ4

5 0
1 year ago
there are 32 ounces of water in a glass.Someone drinks 40% of the water how many ounces of water is left?
kherson [118]

If they drank 40%, then there are (100 - 40) = 60% still in the glass.

60% of 32 ounces  =  0.6 x 32 = 19.2 ounces .

3 0
3 years ago
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