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salantis [7]
4 years ago
10

Austin is going to the movie theater. It is 3 and3/5 miles from his house. Austin Takes his scooter, but it breaks down 2/3 of t

he way to the theater. how far is Austin from his house?
Mathematics
2 answers:
Nina [5.8K]4 years ago
5 0
2 and 14/15
Because the first step of subtraction is common denominators
liberstina [14]4 years ago
4 0
What I would do is find a similar denominator for 3/5 and 2/3 (15).
Next, I would multiply 5x3 =15 and 3x5= 15. If you do something to the bottom then, you need to do it to the top.
3x3= 9
2x5= 10
Finally you subtract each other but, if the second number is higher than the first and the first has a whole, you add the whole. 
2 24/15- 10/15= 2 14/15
So, Austin is 2 and 14/15 miles away from his house.
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Answer: Last option.

Step-by-step explanation:

Given the expression:

\sqrt{\frac{128x^5y^6}{2x^7y^5}

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\sqrt[a]{a^n}=a

Therefore, simpliying the expression, you get:

=\frac{2^3\sqrt{y}}{x}=\frac{8\sqrt{y}}{x}

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3 years ago
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Dafna11 [192]

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3 years ago
Two cars are driving towards an intersection from perpendicular directions. The first car's velocity is 101010 meters per second
guajiro [1.7K]

Answer:

D(L)/dt  = 407,6 m/s

Step-by-step explanation:

Let call A the intersection point.

As the cars are driving from perpendicular directions, they form with a coordinates x and y, a right  triangle, and distance between them is the hypotenuse (L), then

L² = x² + y²

Taking derivatives with respect to time we have:

2*L* D(L)/dt  =  2*x *D(x)/dt  + 2*y* D(y)/dt      (1)

In this equation we know: At a certain time

x  =  444 m       and  D(x)/dt  =  10 m/s

y  =  333 m       and  D(y)/dt  = 666 m/s

And   L = √(x)²  + (y)²    ⇒  L  = √ (444)² +( 333)² ⇒ L = √197136 + 110889

L = √308025

L = 555 m

Thn plugin these values in euatn (1) we get

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6 0
4 years ago
a recently married couple are planning to have four children. They are equally likely to have a boy as well as a girl. What is t
Taya2010 [7]

Answer:

0.25

Step-by-step explanation:

Given that a recently married couple are planning to have four children. They are equally likely to have a boy as well as a girl.

Let X be the no of boys the couples have.  X has two outcomes with p = 0.5

X is binomial with n = no of trials = 4 and p =0.5

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4 years ago
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Mamont248 [21]

Answer:

250 m

Step-by-step explanation:

Let the total length be x m.

\therefore \:  \frac{3}{5}  \times x = 210 \\ x = 210 \times  \frac{5}{3}  \\ x = 70 \times 5 \\ x = 350 \: m \\  \\  \frac{5}{7}  \times x =  \frac{5}{7}  \times 350 = 5 \times 50 = 250 \: m

4 0
3 years ago
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