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jonny [76]
3 years ago
5

A bird leaves its nest and travels 12 miles per hour downwind for x hours. On the return trip, the bird travels 2 miles per hour

slower and has 3 miles left after x hours. What is the distance of the entire trip? How long does the entire trip take?
Mathematics
2 answers:
elena-14-01-66 [18.8K]3 years ago
5 0

12x = 10x + 3

Subtract 10x from both sides

2x = 3

Divide by two on each side

x = 3/2 or 1 1/2 hours

Distance of the trip:

12 * 2 * 3/2 = 36 miles

How long does the trip take:

3/2 + 3/2 + 3/10 = 3 3/10 hours

3 hours

Read more on Brainly.com - brainly.com/question/2158500#readmore

elena-s [515]3 years ago
4 0
3 hours

On the way there, 1.5x12 = 18
On the way back, 1.5x10 = 15
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Answer:

A. d, e, f

Step-by-step explanation:

Suppose there is a triangle DEF in which,

EF = d, DF = e, DE = f, ∠D = 48°, ∠F = 73°,

∵ Sum of all interior angles of a triangle is 180°,

⇒ ∠D + ∠F + ∠E = 180°,

⇒ 48° + 73° + ∠E = 180°,

⇒ 121° + ∠E = 180°,

⇒∠E = 59°,

Now, in a triangle the angle opposite to the largest side is largest, opposite to medium angle is medium and opposite to the smallest side is smallest,

∵ ∠F > ∠E > ∠D

By the above statement,

f > e > d

Hence, FIRST OPTION is correct.

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3<br> Which expression is closest in value to 5.66?
Free_Kalibri [48]

Let's consider the standard and usually used value of irrational numbers given in the question.

  • It is asked to see which is closed to 5.66

So, let's see the options:

A) GiveN:

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Let consider π = 3.14

\dfrac{3.14}{2}  + 3.14

1.57 + 3.14

4.71 \: (approx.)

B) GiveN:

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Here also, let's consider the value be 3.14

2 \times 3.14 - 1

6.28 - 1

5.28  \: (approx.)

C) GiveN:

4 \sqrt{2}

Let's consider the value of √2 be 1.414

4 \times 1.414

5.6516  \: (approx.)

D) GiveN:

8 -  \sqrt{3}

Let's consider the value of √3 be 1.732

8 - 1.732

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So, we can see that we have got the approximate value of all the numericals, and the closest to 5.66 is 5.6516 which is the answer of Option C.

So, Correct answer is C

#CarryOnLearning

<u>━━━━━━━━━━━━━━━━━━━━</u>

6 0
3 years ago
The daily dinner bills in a local restaurant are normally distributed with a mean of $28 and a standard deviation of $6. What ar
Degger [83]

Answer:

The minimum value of the bill that is greater than 95% of the bills is $37.87.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 28, \sigma = 6

What are the minimum value of the bill that is greater than 95% of the bills?

This is the 95th percentile, which is X when Z has a pvalue of 0.95. So X when Z = 1.645.

Z = \frac{X - \mu}{\sigma}

1.645 = \frac{X - 28}{6}

X - 28 = 6*1.645

X = 37.87

The minimum value of the bill that is greater than 95% of the bills is $37.87.

4 0
3 years ago
If you answer this you're HOT!!!!!
belka [17]

Answer:

Yes, 1:3.

Step-by-step explanation:

Each of the numbers on figure 2 are 3 times the number on figure 1.

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