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Veronika [31]
3 years ago
8

How many 2 1/2 hour movie can be shown consecutively in a 20 hour period?

Mathematics
2 answers:
ivanzaharov [21]3 years ago
6 0
20 : 5/2
= 20 x 2/5
= 40/5
= 8
Cloud [144]3 years ago
5 0
20/2.5 = 8
So 8 movies can be shown in 20 hours.
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Find the value of x.
allochka39001 [22]

In order to find the value of x, you have to cross multiply both equations. 4x-10 is basically 4 times something subtract 10. Same thing as well for 3x-2. Now it says to find the value of x. X has to also be the same answer for both equation as well. By the way x doesn't have a given number so there is no specific answer.

3 0
3 years ago
Yolanda wants to complete the 50-mile biathlon in 5 hours. she gets her jogging rate up 6 miles/hour and her biking rate up to 1
melamori03 [73]
Let x be the number of hours she jogs, and y be the number of hours she bikes.
The total time would then be x + y = 5
The total distance (based on the given speeds) would be 6x + 12y = 50
Multiply the first equation by 6 to get 6x + 6y = 30
Subtract this from the second equation to get 6y = 20
y = 10/3 or 3 1/3
Substitute this value back into the first equation to get x = 5/3 or 1 2/3
Therefore, Yolanda will have to jog 1 2/3 hours and bike 3 1/3 hours.
6 0
4 years ago
How do i solve 3x-5y=9;x=-1,0,1
REY [17]
For x = -1, 3(-1) - 5y = 9 => -3 - 5y = 9 => 5y = -3 - 9 = -12 => y = -12/5 = -2.4
for x = 0, 3(0) - 5y = 9 => -5y = 9 => y = 9/-5 = -1.8
for x = 1, 3(1) - 5y = 9 => 3 - 5y = 9 => 5y = 3 - 9 = -6 => y = -6/5 = -1.2
7 0
3 years ago
The Arizona Department of Transportation wishes to survey state residents to determine what proportion of the population would l
skad [1K]

Answer:

They need to survey 4145 residents.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is given by:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

99% confidence level

So \alpha = 0.01, z is the value of Z that has a p-value of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

At least how many residents do they need to survey if they want to be at least 99% confident that the sample proportion is within 0.02 of the true proportion?

This is n for which M = 0.02. As we have no estimate for the proportion, we use \pi = 0.5. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.02 = 2.575\sqrt{\frac{0.5*0.5}{n}}

0.02\sqrt{n} = 2.575*0.5

\sqrt{n} = \frac{2.575*0.5}{0.02}

(\sqrt{n})^2 = (\frac{2.575*0.5}{0.02})^2

n = 4144.1

Rounding up:

They need to survey 4145 residents.

4 0
3 years ago
The options are <br> 9<br> 12<br> 18
Alexeev081 [22]

Answer:

12

Step-by-step explanation:

length× bredth× height=volume but in this case it is a cylinder so for length and bredth we will use radius. For the height the cylinder is half filled so its height will be 1m. then we will use the formula

l×b×h 3×3×1=9 So 9 is the answer ♥

5 0
2 years ago
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