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Elanso [62]
3 years ago
9

Please help me with this problem

Mathematics
1 answer:
Mars2501 [29]3 years ago
6 0

Answer:

Since the taxis are heading directly towards each other, we will assume the path between them to be a straight line

We have 2 taxis coming towards each other, which means that we have 2 observers in this system

so from now on, we will see this situation from the eyes of the driver coming at the speed of 40mph

<em>Now imagine yourself in a car. if you are in a moving car, a tree outside will look like it is moving in the opposite direction and it will be doing so at the same speed as the speed of your car and we will always feel like we are at rest</em>

<em>so, we can say that when we are in a car, the objects coming towards us will have our car's velocity added to their velocity, as in the above case, the speed of the tree is 0mph and your speed is v mph, which causes the tree to move back at a velocity of v mph </em>

Now, back to the question. we are in a car moving at a speed of 40 mph and there is a car coming towards us is moving at a speed of 27 mph

If we look at the situation from the eyes of the driver of the car moving at a velocity 40 mph,

he is at rest and the other car is moving at a velocity of (40 + 27) = 67 mph

So, from the frame of reference of the 40mph driver, the other car is moving at 67 mph and the time taken by a car moving at 67 mph to cover 7 miles is the time in which the taxis will meet

Hence, time taken by a 67 mph car to cover 7 miles

time = distance / speed

time = 7 / 67

time = 0.1 hour (approx) or 6 minutes

Therefore, the taxis will meet after 6 minutes

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Which of the following algebraic equations could represent the sentence, "The product of a number and five is 11"?
alexandr402 [8]

Answer: last option.

Step-by-step explanation:

You need to remember that a product is the result obtained by multplying the factors.

For example, in the following multiplication, the number 110 is the product and this is obtained by multiplying the factors 10 and 11:

10*11=110

Then,  being 11 the product, then you can know that:

"x" is a factor and 5 is the other factor.

Therefore, the algebraic equation that could represent the sentence "The product of a number and five is 11", is:

5x=11

7 0
4 years ago
Read 2 more answers
What is the slope of the line that passes through the points (-3, -3)(−3,−3) and (-18, -23) ?(−18,−23)? Write your answer in the
Kryger [21]

Answer:

Let's see what to do buddy...

Step-by-step explanation:

_________________________________

Step (1)

To find the slope of linear functions using two points, we have the following equation :

slope =  \frac{y(b) - y(a)}{ x(b) - x(a) } \\

Where a and b are two point of the function.

_________________________________

Step (2)

Well now I want to choose a name for the given points :

a = ( -3 , -3 ) ••••••••• b = ( -18 , -23 )

_________________________________

Step (3)

It's time to put the the coordinates in the above equation :

slope =  \frac{ - 23 - ( - 3)}{ - 18 - ( -  3)} \\

slope =  \frac{ - 23 + 3}{ - 18 + 3 } \\

slope =  \frac{ - 20}{ - 15} \\

Negatives simplified :

slope =  \frac{20}{15} \\

The face and denominator are reduced to five :

slope =  \frac{4}{3} \\

_________________________________

And we're done.

Thanks for watching buddy good luck.

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7 0
3 years ago
The slope intercept form for y=x-2​
zalisa [80]
That is slope intercept form.
Slope intercept form is y=mx+b
5 0
4 years ago
Read 2 more answers
30.)
bogdanovich [222]

Answer:

The answer is: $13,166.67 total sales.

Step-by-step explanation:

First, Vinny receives $400 base pay - this information is not needed to solve the problem.

To find the total sales, divide $790 by 6%:

$790 / .06 = $13,166.67

You can prove this is the answer by multiplying $13,166.67 times 6%:

$13,166.67 * .06 = $790.

6 0
4 years ago
Snow White is sewing stockings for the animals that visit her in the forest. When she looks around, she sees 38 legs. She knows
ololo11 [35]

Answer:

B=1 M=6 D=3

Step-by-step explanation:

the equations are 4M+4D+2B=38

                               M+D+B=10

                              2D=M

step two: 4M+4D+2B=38 (multiply 2nd equation by -4)

               -4M-4D-4B=-40

4M AND 4D cancels out and your left with -2B=-2 B=1

then you take the first equation and subsitute the third equation for M

step three:  M+D+1 =10 (SUBSITUTE B WITH 1)

M+D=9

STEP FOUR: take the last equation (M+D=9) and subsitute 2D=M

2D+D=9

3D=9

D=3

subsitute D=3 into 2D=M  so you get 2(3)=M M=6

DOUBLE CHECK USE THE SECOND EQUATION

M+D+B=1-

6+3+1=10

5 0
3 years ago
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