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erica [24]
2 years ago
15

the table shows the number of minutes Tim has for lunch and study hall. he calculates that these two periods account for 18% of

the minutes he spends at school .how many minutes does he spend at school?

Mathematics
1 answer:
EleoNora [17]2 years ago
5 0

Tim spends 500 minutes at the school.

Step-by-step explanation:

Given,

Time for lunch = 45 minutes

Time for study hall = 45 minutes

Total = 45+45 = 90 minutes

This represents 18% of the total minutes Tim spend at school.

Let,

x be the total minutes Tim spend at school.

18% of x = 90 minutes

\frac{18}{100}x=90\\\\0.18x=90

Dividing both sides by 0.18

\frac{0.18x}{0.18}=\frac{90}{0.18}\\x=500

Tim spends 500 minutes at the school.

Keywords: percentage, division

Learn more about division at:

  • brainly.com/question/101683
  • brainly.com/question/103144

#LearnwithBrainly

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Answer:

Distance = 500 miles

Step-by-step explanation:

<u>Step 1: Write the data of speed, distance and time for aeroplane and automobile.</u>

<em>Automobile:</em>

Speed = r

Time = 10 hours (3 am till 1 pm)

Distance = SxT

Distance = r x 10 = 10r

<em>Aeroplane:</em>

Speed = 200 + r (200 mph more than automobile)

Time = 2 hours ( 11 am till 1 pm)

Distance = SxT

Distance = 2x(200+r) = 400+2r

<u>Step 2: Equate both distances to find the value of r</u>

Distance of automobile = Distance of aeroplane

10r = 400 + 2r

8r = 400

r = 50

<u>Step 3: Find the distance using any one equation</u>

Distance of automobile = 10r

r = 50

Distance = 10 x 50 = 500 miles

Therefore, the plane travels 500 miles.

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2 years ago
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Answer:

a. 0.0000

b. 0.9949

c. 0.0212

d. 1.0000

Step-by-step explanation:

a. This is a binomial probability distribution problem of the form:

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#Given n=15, p=0.56, the probability of none will order a non-alcoholic drink:

P(X=x)={n\choose x}p^x(1-p)^{n-x}\\\\\\P(X=0)={15\choose 0}0.56^0(1-0.56)^{15}\\\\\\=0.0000045

\approx 0.0000

Hence, the probability that none will order a non-alcoholic drink is 0.0000

b. The probability that at least 4 will order a non-alcoholic drink is:

P(X=x)={n\choose x}p^x(1-p)^{n-x}\\\\P(X\geq  4)=1-P(X

Hence, the probability of at least 4 non-alcoholic orders is 0.9949

c. The Probability that fewer than 5 orders will be made is calculated as:

P(X=x)={n\choose x}p^x(1-p)^{n-x}\\\\P(X

Hence, the probability of less than 5 orders is 0.0212

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2 years ago
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Answer: D. f(1) = 4,\ \ f(n+1)=\dfrac{-1}{2}f(n)

Step-by-step explanation:

The given sequence:  4, -2,1,\dfrac{-1}{2},\dfrac14,....

Here, first term: f(1)=4

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Common ratio: r=\dfrac{f(2)}{f(1)}=\dfrac{-2}{4}=\dfrac{-1}{2}

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Answer:

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Step-by-step explanation:

From the given graph, the lines f(x) and g(x) intersects at two different points.

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2 years ago
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