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Two steamers leave a port on a river at the same time, traveling in opposite directions. Each is traveling 22 mph. How long will

vivado [14]

It took both 2.5 hours to be 110 miles apart

Speed is the ratio of distance travelled to time taken. Speed is given by:

Speed = distance / time

Since both steamers is travelling at 22 mph. therefore they cover the same distance at the same time. For them to be 110 miles apart, they need to each have covered 55 miles in the opposite direction

22 = 55/time

time = 2.5 hours

Therefore after 2.5 hours they would have covered 55 miles each therefore being 110 miles apart.

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7 0

3 years ago

the ages of sari and justin can be represented as two consecutive integers. The product of their age is 72. Justin is older. wri

Lelechka [254]

The age of Sari is 8 years.

The age of Justin is 9 years.

Explanation:

Let x denote the age of Justin.

Let y denote the age of Sari.

Given that the product of their age is 72.

Thus, it can be written in equation as

$xy=72$

Since, the numbers x and y are consecutive integers and Justin is older, then, it can be written as,

$x=y+1$

Therefore, the two equations are $xy=72$ and $x=y+1$

The ages of Sari and Justin:

The ages of Sari and Justin can be determined by solving the two equations.

Let us solve the equations using substitution method.

Substituting $x=y+1$ in the equation $xy=72$ , we have;

$(y+1)y=72$

$y^2+y=72$

$y^2+y-72=0$

Factoring the equation, we get;

$(y-8)(y+9)=0$

$y=8 \ or \ y=-9$

The value of y cannot be negative.

Thus, $y=8$ is the value of y.

Substituting $y=8$ in the equation $x=y+1$ , we have;

$x=8+1$

$x=9$

Thus, the value of x is 9.

Therefore, the age of Sari is 8 years and the age of Justin is 9 years.

5 0

3 years ago

8) 6x2 - 4x - 15 = 0 a = b= c= _+(+72-400 20)

IgorC [24]

Answer:

63‾√2

Step-by-step explanation:

3 0

4 years ago

If 2=5, what is 23−4?

dezoksy [38]

Answer: 3 because 2 *4= 20, which leaves over 3

Step-by-step explanation:

7 0

4 years ago

What is the longest flagpole (in whole feet) that could be shipped in a box that measures 1ft by 2 ft by 12 ft?

nexus9112 [7]

Consider a pole running from one corner to the farthest corner of a box.
In 3D space the start of the pole would be at (0,0,0).
The endpoint would be at (12,2,1).
Use the distance formula:
D^2 = (x1-x2)^2 + (y1-y2)^2 + (z1-z2)^2
D^2 = (12-0)^2 + (2-0)^2 + (1-0)^2
D^2 = 144 + 4 + 1
D^2= 149
D = sqrt (149)
D = (approx.) 12.21 ft
D = 12 ft

Have a nice day :D

5 0

3 years ago