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Artyom0805 [142]
2 years ago
8

Alice and Betty each want to buy the same kind of ruler. But Alice is 22 cents short and Betty is 3 cents short. When they combi

ne their money they still do not have enough money. What is the most the ruler could cost?
Mathematics
1 answer:
goblinko [34]2 years ago
7 0

Answer:

The rule could cost 24 cents at most.

Step-by-step explanation:

Let x cents be the price of the ruler.

Alice is 22 cents short, so Alice has x - 22 cents.

Betty is 3 cents short, so Betty has x - 3 cents.

When they combine their money they have

x - 22 + x - 3 = 2x - 25 cents.

This amount is still not enough, so

2x-25

Solve this inequality:

2x-x

The rule could cost 24 cents at most.

You might be interested in
The heights of 1000 students are approximately normally distributed with a mean of 174.5 centimeters and a standard deviation of
yuradex [85]
A. The mean and standard deviation.

The mean of a sampling distribution is approximately equal to the mean of the population. Given that the mean of the population is equal to 174.5, the mean of the sampling distribution is also this value.

The standard deviation of a sample distribution is equal to,

                u(m) = u/sqrt n

Substituting the known values,

               u(m) = 6.9 / sqrt 25 = 1.38

b. Get the z-score of both items,
         
      z-score = (data point - mean) / standard deviation

 z-score of 172.5
     z-score = (172.5 - 174.5) / 1.38 = -1.49
This translates to 0.068.

z-score of 175.8
   z-score = (175.8 - 174.5) / 1.38 = 0.94
This translates to 0.83. 

The difference between the two z-scores is 0.762. 

 The number of samples with this height is 0.762(200) which is equal to approximately 152.

c. z-score of 172 centimeters
   
    z-score = (172 - 174.5) / 1.38
  
    z-score = -1.81
This translates to 0.03.

The number of people with this height from the sample is (0.03)(200) = 6
8 0
2 years ago
Two hockey teams, the Winnipeg Jets (yay!) and the Toronto Maple Leafs (boo!), miraculously make it to
monitta

Answer:

There is a 54% chance that the Jets will win the Stanley Cup.

Step-by-step explanation:

Since two hockey teams, the Winnipeg Jets and the Toronto Maple Leafs, miraculously make it to the Stanley Cup finals, where as soon as a team wins 3 games, the championship is over, and the schedule for the playoffs for home games is: Jets - Leafs - Jets - Leafs - Jets; since if the Jets are playing at home, there is a 60% chance they'll win, while if they are playing on the road, there is a 45% chance they'll win, to find the probability that the Jets win the Stanley Cup the following calculation must be performed:

(0.60 + 0.45 + 0.60 + 0.45 + 0.60) / 5 = X

2.70 / 5 = X

0.54 = X

Thus, there is a 54% chance that the Jets will win the Stanley Cup.

7 0
2 years ago
Nicole shines a light from a window of a lighthouse on a cliff 250 feet above the water level. Nick 10 feet above the water leve
Allushta [10]

Answer:

4585.8 feet

Step-by-step explanation:

If we draw the triangle, the opposite side to 3° angle would be "10" less than total height of 250 because Nick is 10 feet above water level, so that side will be:

250 - 10 = 240

The hypotenuse of the triangle is the length of line of sight. We can call this "x".

So, using trigonometric ratio of sine (opposite/hypotenuse), we can write:

Sin(3)=\frac{240}{x}

Now, we cross multiply and solve for x, line of sight length:

Sin(3)=\frac{240}{x}\\x=\frac{240}{Sin(3)}\\x=4585.8

3 0
2 years ago
A pair of pants costs twice as much as a shirt. The total cost of 1 pair of pants and 1 shirt is $18 . If s represents the cost
dolphi86 [110]

Let the price of 1 shirt be represented by = s

A pair of pants costs twice as much as a shirt, then the cost of pants is = 2s

The total cost of 1 pair of pants and 1 shirt is $18 , means : s+2s=18

Solving this we get,                            

3s=18

s=6

So, the price of 1 shirt is $6 and price of 1 pair of pants is = 2s = 2*6 = $12.

8 0
2 years ago
Read 2 more answers
What is the simplified form of StartRoot StartFraction 72 x Superscript 16 Baseline Over 50 x Superscript 36 Baseline EndFractio
aalyn [17]

Answer:

  StartFraction 6 Over 5 x Superscript 10 Baseline EndFraction

Step-by-step explanation:

Apparently you want to simplify ...

  \sqrt{\dfrac{72x^{16}}{50x^{36}}}

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  1/a^b = a^-b

  (a^b)^c = a^(bc)

__

So the expression simplifies as ...

  \sqrt{\dfrac{72x^{16}}{50x^{36}}}=\sqrt{\dfrac{36}{25x^{36-16}}}=\sqrt{\dfrac{36}{25x^{20}}}\\\\\sqrt{\left(\dfrac{6}{5x^{10}}\right)^2}=\boxed{\dfrac{6}{5x^{10}}}

9 0
2 years ago
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