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insens350 [35]
3 years ago
15

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.
How soon will they meet if they simultaneously start running towards each other?
Mathematics
2 answers:
ser-zykov [4K]3 years ago
6 0

Answer: 36 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=3,600/5=720 m

t=d/v=720/20=36 sec

or

t=(720+180)/25=900/25=36 sec

Vlad [161]3 years ago
4 0

Answer:

Step-by-step explanation:

we are starting with formula S=D/T; S= speed; D=distance; T=time

T= D/25 for puppy

T=(180-D)/20 for kitten

we are having 2 equations!

180 - D=20*T   and D<u>=25*T</u>   =>  180-25*T=20*T =>180= 45*T => T=180/45

T=4 SEC

T=D/25=>D=4*25=100 METERS

SO THEY WILL MEET AFTER 4 SECONDS IF THEY SIMULTANEOUSLY START RUNNING TOWARD EACH OTHER!

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USPshnik [31]

Answer:

Step-by-step explanation:

y > 2/3x - 1/5

y ≥ 3/2x + 1/5

y ≤ 2/3x + 1/5

y < 3/2x - 1/5

(Assume that the question want you to draw a graph)

Remember:

> or < is a dotted line

≥ or ≤ is a solid line

8 0
2 years ago
Read 2 more answers
The daily cost of producing x high performance wheels for racing is given by the following​ function, where no more than 100 whe
algol [13]

Answer:

The production would be 25 wheels,

Lowest average cost is $ 123.75

Step-by-step explanation:

Given cost function,

C(x) = 0.09x^3 - 4.5x^2 + 180x

Where,

x = number of wheel,

So, the average cost per wheel,

A(x) = \frac{C(x)}{x}=\frac{0.09x^3-4.5x^2 + 180x}{x}=0.09x^2 - 4.5x + 180

Differentiating with respect to x,

A'(x) = 0.18x - 4.5

Again differentiating with respect to x,

A''(x) = 0.18

For maxima or minima,

A'(x) = 0

0.18x - 4.5 = 0

0.18x = 4.5

\implies x = \frac{4.5}{0.18}=25

For x = 25, A''(x) = positive,

i.e. A(x) is maximum at x = 25.

Hence, the production would be 25 wheels for the lowest average cost per​ wheel.

And, lowest average cost,

A(x) = 0.09(25)² - 4.5(25) + 180 = $ 123.75

5 0
3 years ago
SHOW YOUR WORK PLEASE!
laiz [17]

Answer:

not equivalent

Step-by-step explanation:

Given

\frac{6}{7} = \frac{7}{9}

If the ratios are equivalent then ib cross- multiplying the 2 sides should be equal, that is

6 × 9 should equal 7 × 7

However, 54 ≠ 49

Thus the ratios are not equivalent

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3 years ago
Danny scored 10 points in the first round of a game. he then lost 20 points in the second round. in the final round he earned 40
Black_prince [1.1K]
Danny's score at the end of the game is 30 because:
We started our with 10 points. 
He loses 20 points, which brings him down to -10 points. 
In the final round he earned 40 points. 40 minus the negative ten points gives us an answer of 30 points.
6 0
3 years ago
Read 2 more answers
Plz help both problems right answer!!
Aneli [31]
3:5=m:60
m= 36
1. B)36

22in30 min
22+22=44
44in 1hr
44x3=132 in 3hr 
2.  D)132
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2 years ago
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