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Naddika [18.5K]
2 years ago
10

A puppy and a kitten are 180 meters apart when they see each other. The puppy can run at a speed of 25 m/sec, while the kitten c

an run at a speed of 20 m/sec.
a
How soon will they meet if they simultaneously start running towards each other?
Mathematics
2 answers:
statuscvo [17]2 years ago
8 0

Answer:

4 sec

Step-by-step explanation:

Let

x------> distance the kitten runs before being caught by the puppy

Remember that

The speed is equal to divide the distance by the time

v=d/t

solve for t

t=d/v

so

equate the time

x/20=(180-x)/25

25x=20(180-x)

25x=3,600-20x

25x+20x=3,600

x=3,600/45=80 m

t=d/v=80/20=4 sec

or

t=(180-80)/25=100/25=4 sec

OverLord2011 [107]2 years ago
8 0

Answer:

It will take 4 seconds.

Step-by-step explanation:

It takes the puppy 25 seconds and the cat 20 seconds.

20+25=45

180 divided by 45 = 4

= 4 seconds.

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If a baseball player hits a baseball from 4 feet off the ground with an initial velocity of 64 feet per second, how long will it
topjm [15]

Answer:

0.64 seconds

Step-by-step explanation:

In the equation provided:

h = −16t2 + 4t + 4

h is the height of the ball and t is time. Since we want to find the time when the ball touches the floor, then height is 0. This leaves us with the equation

-16t^{2} + 4t + 4 = 0

This is a quadratic equation can be solved with the following formula:

x= \frac{-b+-\sqrt{b^{2}-4ac } }{2a}

where a=-16

b=4

c=4

Solving for t we will find two different results:

t1=\frac{-4-\sqrt{272} }{2(-16)} =0.125+0.125\sqrt{17} =0.64039t2=\frac{-4+\sqrt{272} }{2(-16)} =0.125-0.125\sqrt{17} =-0.39039

Since time can't be negative, we discard t2 and choose t1.

Since it is required to answer in the nearest hundredth, we round the result to t=0.64 seconds.

5 0
2 years ago
What are the solutions of 8x2 = 6 + 22x? Check all of the boxes that apply.
Sholpan [36]
Transpose all the terms in the left hand side of the equation. The equation then becomes,
                         8x²  - 22x - 6 =0
Divide both sides of the equation by 2,
                        4x² - 11x - 3 = 0 

In this equation, A = 4, B = -11, and C = -3

With the variables identified, the quadratic equation can be used to identify the roots,
                         x = (-B +/- √B² - 4AC) / 2A
The values of x in the equation are,
                        <em> x = 3 and x = -1/4
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<em />Thus, the one of the answer to this item is the third choice, x = 3. <em>
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6 0
2 years ago
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You are a school photographer taking individual and class pictures for 2 classes of 21 students each. On average, each individua
kramer
146 minutes in total. One student =3 minutes. So then 42x3= 126. Class picture is 10x2=20. So then add both of them you get 146.
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2 years ago
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Build 7 identical towers with a box of 546 blocks. How many blocks are there in each tower?
kvv77 [185]

Answer:

78

Step-by-step explanation:

546 ÷ 7 = 78. So their is 78 blocks in each tower.

5 0
2 years ago
If a pair of shoes costs $52.50 including a 7.25% tax, what is the original cost of the item before taxes are added? No other sy
zheka24 [161]

Answer:

56.31

Step-by-step explanation:

A 7.25% tax is $3.81

52.50-3.81+48.69

Hope it helps!

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