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Lilit [14]
3 years ago
6

In 3 hours, a car travels 120 miles. What is the speed of the car

Mathematics
2 answers:
IgorLugansk [536]3 years ago
4 0
Hey there,
Speed = Distance / Time
           = 120 / 3
           = 40 miles / hour

Hope this helps :))

<em>~Top♥</em>
ludmilkaskok [199]3 years ago
3 0
120/3=40
40 miles an hour
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Must be C.$24 but I'm not 100% sure.
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Θ lies in Quadrant II . sinθ=47sinθ=47 What is the exact value of cosθ in simplified form?
Pepsi [2]
I am assuming you mean 4/7 as the sine or cosine cannot be higher than 1.

Lets find <span>θ,
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θ = [sin-1](4/7) = 34.85 °

But lets take into account that this value is the equivalent in Quadrant I.

If Θ lies in Quadrant II , then θ = 180 ° - 34.85 ° = 145.15 °

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3 years ago
What is the solution to the system of equations? Use any method. {y=−3x+1 {2x+5y=18
Softa [21]

Answer:

So the solution set of the equations are {(-1,4)}

or

the solution is x = -1 and y = 4

Step-by-step explanation:

Equations given to us are

y = -3x + 1                                ..................(i)

2x + 5y = 18                             .................(ii)

To find the value of x and y or the solution set of the system of equations

Now in first equation we see that

y = -3x + 1

Putting this value in equation (ii)

which is

2x + 5y = 18

Putting value of y from (i) in it

2x + 5(-3x + 1) = 18

Opening the bracket and multiplying inside

2x -15x + 5 = 18

-13 x + 5 = 18

Subtracting 5 from both sides of the equation

-13x + 5 - 5 = 18 -5

-13x = 13

Dividing both sides by -13

\frac{-13x}{-13}=\frac{13}{-13}

Cutting out the same values gives us

x = -1

For value of y

putting value of x in equation (i)

which is

y = -3x + 1

Putting the value

y = -3(-1)+1

y=3+1

y=4

So the solution set of the equations are {(-1,4)}

or

the solution is x = -1 and y = 4

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3 years ago
Write an equation. Let x be the unknown number.
Assoli18 [71]
3-5x = -5
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I hope this helps
4 0
2 years ago
Read 2 more answers
In order for a vaccine to be effective, it should reduce a person's chance of acquiring a disease. Consider a hypothetical vacci
Dmitrij [34]

Answer:

Step-by-step explanation:

Let assume that Suppose the chance of contracting malaria is 10% for those who are not vaccinated ;   (since the value) is not given.

Thus;

If the vaccine has no effect, risk of malaria for vaccine and no vaccine are equal to 0.1

Probability of not getting malaria if vaccinated or no vaccinated = 1 - 0.1 = 0.9

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Vaccinated     100 * 0.1 = 10        100 * 0.9 = 90                         100

No Vaccine     200 * 0.1 = 20   200 * 0.9 = 180        300-100 = 200

Total                 20 + 10 = 30       90 + 180 = 270                       300

If the vaccine cuts the risk by half, risk of malaria for vaccinated are equal to 0.1/2 = 0.05

Probability of not getting malaria if vaccinated = 1 - 0.05 = 0.95

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No Vaccine     200 * 0.1 = 20   200 * 0.9 = 180        300-100 = 200

Total                 20 + 5 = 25       90 + 180 = 275                         300

3 0
3 years ago
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