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3 years ago

Estimate the time it would take you to drive 361 miles at 42 miles per hour. Round to the nearest hour.

Mathematics

1 answer:

polet [3.4K]3 years ago

8 0

Answer:

It would take you 9 hours

Step-by-step explanation:

Speed (s) = Distance (d) / Time (t)

given that; Speed = 42 miles/hour

Distance = 361 miles

42 miles/hour = 361 miles / Time (t)

Time (t) * 42 miles/hour = 361 miles

Time (t) = 361 miles / 42 miles/hour

Time (t) = 8.59 hours

≈ 9 hours (to the nearest hour)

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4+8x=44 I need helpppp please someone help me

xxTIMURxx [149]

Answer: Your answers ×=5 !

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2 years ago

Read 2 more answers

Use the picture for the question and the answer choices:)

Orlov [11]

Parenthesis first 5-2=3.

7^2=49

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49-9=40.

A is your answer.

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2 years ago

Help please I need 5 points total. i need 2 to left of vertex. i need vertex. i need 2 to right of vertex. Please, quickly, I am

zlopas [31]

We are given with a quadratic equation which represents a Parabola , we need to find the vertex of the parabola , But let's recall that , For any quadratic equation of the form ax² + bx + c = 0 , the vertex of the parabola is given by ;

${\quad \qquad \boxed{\bf{Vertex = \left(\dfrac{-b}{2a},\dfrac{-D}{4a}\right)}}}$

Where , D = b² - 4ac (Discriminant)

Now , On comparing the given equation with ax² + bx + c , we have

⇢⇢⇢ a = 1 , b = - 10 , c = 27

Now , Calculating D ;

${:\implies \quad \sf D=(-10)^{2}-4\times 1\times 27}$

${:\implies \quad \sf D=100-108}$

${:\implies \quad \bf \therefore \quad D=-8}$

Now , Calculating the vertex ;

${:\implies \quad \sf Vertex =\bigg\{\dfrac{-(-10)}{2\times 1},\dfrac{-(-8)}{4\times 1}\bigg\}}$

${:\implies \quad \sf Vertex = \left(\dfrac{10}{2},\dfrac{8}{2}\right)}$

${:\implies \quad \bf \therefore \quad Vertex = (5,2)}$

Hence , The vertex of the parabola is at (5,2)

Note :- As the Discriminant < 0 . So , the equation will have imaginary roots .

Refer to the attachment for the graph as well .

5 0

2 years ago

I really need help!!!

Zigmanuir [339]

Answer:

$Pr = 6.67\%$

Step-by-step explanation:

Given

$n = 10$ i.e. 10 people

Required

Probability of being next to each other

First, we calculate the total possible arrangements (without any restriction)

$Total = n!$

$Total = 10!$

If the three are to be next to each other,

First, we arrange the three

$r_1 = 3!$

Now, the 3 will be seen as 1; so, we have a total of 8 people i.e. (1 + 7 others)

The arrangement is:

$r_2 =8!$

So, the total arrangement, when they have to be next to one another is:

$r = r_1 * r_2$

$r = 3! * 8!$

The probability is:

$Pr = \frac{r}{n}$

$Pr = \frac{3! * 8!}{10!}$

Expand

$Pr = \frac{3*2*1 * 8!}{10*9*8!}$

$Pr = \frac{3*2*1}{10*9}$

$Pr = \frac{6}{90}$

$Pr = 0.0667$

Express as percentage

$Pr = 0.0667 * 100\%$

$Pr = 6.67\%$

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2 years ago

You have a 100 coins laying flat on a table, each with a head side and a tail side. 10 of them are heads up, 90 are tails up. yo

dmitriy555 [2]

I LOVE THIS PUZZLE

so,
the solution is
take 10 coins off to the side
flip those 10 over
done

sounds too simple?

this can be solved with algebra for ANY number of coins
lets say we have 50 coins, all tails
we flip h coins head
if h=x+y
if we seperate h coins off, we get x heads, and y tails
and in the other pile, we have y heads and the rest of the tails
so now, if we flip all the coins, we get y heads in the pile and x tails

solution:
seperate 10 coins and flip all 10 of them over

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2 years ago