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3 years ago

Miguel runs 6 miles in 55 minutes. At the same rate, how many miles would he run in 44 minutes

2 answers:

8 0

You can write this in a proportion way: 6/55 = x/44.
Multiply both sides by 11 to get rid of the 55 and 44: 6/5 = x/4
Now, multiply both sides by 20: 5x = 24. x = 4.8

Therefore, he can run 4.8 miles in 44 minutes.

VladimirAG [237]3 years ago

8 0

Speed = Distance/Time 6/55
Distance = Speed × Time
6/55 × 44

4.8 miles

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2 years ago

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AB has coordinates A(-5,9) and B(7,- 7). Points P, Q, and I are collinear

VMariaS [17]

Answer:

$\overline{QT}$

Step-by-step explanation:

We want to find the coordinates of a certain point C(x,y) such that C divides $A(x_1,y_1)$ and $B(x_2,y_2)$ in the ratio m:n=3:2

The x-coordinate is given by:

$x=\frac{mx_2+nx_1}{m+n}$

The y-coordinate is given by:

$y=\frac{my_2+ny_1}{m+n}$

AB has coordinates A(-5,9) and B(7,- 7)

We substitute the values to get:

$x=\frac{3*7+2*-5}{3+2}$

$x=\frac{21-10}{5}$

$x=\frac{11}{5}$

and

$y=\frac{3*-7+2*9}{3+2}$

$y=\frac{-21+18}{5}$

$y=-\frac{3}{5}$

Therefore C has coordinates $(\frac{11}{5},-\frac{3}{5})$

The line segment that contains C is $\overline{QT}$

See attachment.

6 0

2 years ago

When the family arrived in New Delhi from Rome, the youngest son asked the pilot how fast he was flying the plane. The pilot tol

Elden [556K]

Answer:

7 hours

Step-by-step explanation:

It is given that the plane was flying at 847 km/hour. So the speed of the plane was 847 kilometers per hour.

It is also given that the distance between Rome and New Delhi is 5,929 kilometers.

We know that the distance is equal to the product of speed and time, so we have,

$d= s\times t$ , where 'd' represents the distance, 's' represents the speed, and 't' represents the time.

Putting the values we get,

$5929= 847 \times t$

Solving for 't' we get,

$t= \frac{5929}{847}=7$

So the time taken to fly from Rome to New Delhi is 7 hours.

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3 years ago