A dog and a cat are 200 meters apart when they see each other. The dog can run at a speed of 30 meter per second, while the cat can run at a speed of 24 meters per second. How soon will they meet if they simutaneously start running towards each other?

Answers

Answer 1

Answer:

They'll meet after 200 meters , if they simultaneously start running towards each other.

Step-by-step explanation:

Let x =distance travelled by dog and 200-x be the distance travelled by cat. Inorder to meet, the sum of their travelled distances shall be equal to 200 meters as they are far apart by 200 meters.

Dog: Distance =Speed x time: x=30t

Cat: Distance = 200-x

=24t

The sum of their distance travelled shall be 200 meters: 30t+ 24t= 200;54t=200;t=200/54=3.7secs

So they will meet after 3.7 seconds

To check:

Distance travelled by dog :x=30(3.7)

=111.11 meters

Distance travelled by cat: 24t=24(3.7)

=88.89 meters

Therefore since they are travelling towards each other and their distance apart is 200 meters, after 3.7 seconds they will meet because dog travelled 111.11 meters and cat travelled 88.89 meters and they covered already 200 meters as the sum of 111.11+ 88.89

=200 meters


Related Questions

If a wave has a wavelength of 0.5 m and a frequency of 2134 Hz, what is its speed? *SHOW ALL 4 STEPS.

Answers

given:

wave length= 0.5 m

frequency= 2134 Hz

to find:

the speed

solution:

[tex]v = f \gamma [/tex]

[tex]v = velocity[/tex]

[tex]f = frequency[/tex]

[tex] \gamma = wave \: length[/tex]

[tex]v = 2134 \times 0.5[/tex]

[tex]v = 1067s[/tex]

hence, the speed of the wave is 1067s.

Which equation can be used to solve for the measure of angle abc? tan(x) = startfraction 2.4 over 10 endfraction tan(x) = startfraction 10 over 2.4 endfraction sin(x) = startfraction 10 over 10.3 endfraction sin(x) = startfraction 10.3 over 10 endfraction

Answers

The equation can be used to solve for the measure of angle abc is sinx = 2.4/10.3

SOH CAH TOA identity

The identity is used to find the measure of sides and acute angles of a right triangle

From the diagram shown, <ABC is the reference abgle hence;

Opposite side = 2,4cm

Hypotenuse .=10.3cm

According to the identity

sin x = opp/hyp

sinx = 2.4/10.3
sinx = 0.233

x =  13.47 degrees

Hence the equation can be used to solve for the measure of angle abc is sinx = 2.4/10.3

Learn more on SOH CAH TOA here: https://brainly.com/question/20734777

Answer: tan(x) = 2.4/10.3

Step-by-step explanation:

I saw the answers

has the lowest unit price?
A. 20 oz: $9
B. 16 oz: $7.39
ch proportion.
C. 12 oz: $5.29
D. 5 oz: $2.39

Answers

I think the answer is D

Evaluate the expression when
у = 3 and z = 9.
2
y + (z-7)² x 2

Answers

Step-by-step explanation:

[tex]y + (z - 7) {}^{2} \times 2 \\ 3 + (9 - 7) {}^{2} \times 2 \\ 3 + (2) {}^{2} \times 2 \\ 3 + 4 \times 2 \\ 3 + 8 = 11[/tex]

In an AP* Stats class, 57% of students eat breakfast in the morning and 80% of students floss their teeth. Forty-six percent of students eat breakfast and also floss their teeth. What is the probability that a student from this class eats breakfast but does not floss their teeth

Answers

Answer:

The probability that a student from this class eats breakfast but does not floss their teeth is .11 (11%).

Step-by-step explanation:

Let's start by making a two-way table (you can also make a tree diagram).

Let's make the total number of students = 100. Now, fill out the table using the given probabilities from the question.

We are given that 57% of students eat breakfast in the morning, so the total in the "Eats breakfast" column is 57.

80% of the students floss their teeth, so the total in the "Flosses teeth" row is 80.

We can fill out the rest of the table using simple algebra and the fact that the probabilities must add up to 1.

I've attached a table that I created showing what the two-way table should look like when filled out completely.

Now, we want to find the probability that a student eats breakfast but does not floss their teeth.

We can look at the column "Eats breakfast" and the row "Does not floss teeth" and see that 11 (out of 100) students eat breakfast without flossing their teeth.

Therefore, the probability that a student from this class eats breakfast without flossing their teeth is .11.

Jim has 1/3 of a box of cereal. He eats 1/3 of the remaining cereal. What fraction of the original whole box of cereal did Jim eat?

Answers

Pretty sure it’s 1/9
1/3 = 3/9
1/9 is 1/3 of 1/3
Answer= 1/9
it’s 1/9th because 1/3 of 1/3 is 1/9th

The number of weeds found growing along the side
number
of a new highway each month forms the sequence whose general term is a, = (n + 1)(n +4), where n is the
of the months. Find the number of weeds found in the fifth month, and find the total number found in the first five months.
How many weeds were found in the fifth month? 54
How many weeds were found during the first five months? _

Answers

270 = 54 x 4 Hope you have great day!

What is the value of x?

Enter your answer in the box.

x =

Answers

Answer:

x = 39

Step-by-step explanation:

all triangles have angle measures that add up to 180°.

This means that to find what x is, you add 102 and 39, and then subtract that from 180, so

180-(102+39) = x

180-141=x

39=x

Answer:

x° = 39°

Step-by-step explanation:

According to the angle sum property of triangles, the 3 angles in a triangle will sum up to 180°.

102° + 39° + x° = 180°

141° + x° = 180°

x° = 180° - 141°

x° = 39°

_________

Hope it helps ⚜

Help me find X and explain the process please.​

Answers

Answer:

x=23

Step-by-step explanation:

10*18=9*(x-3)

180=9x-27

207=9x

x=23

I may be wrong its been a long time doing this problem.

The area of a circle is 9π ft What is the circumference, in feet? Express your answer in terms of \piπ. (pi)

Answers

Answer:

6×pi ft

Step-by-step explanation:

the area of a circle is

pi × r²

with r being the radius of the circle.

so,

9×pi = r² × pi

9 = r²

r = 3 ft

the circumference of a circle is

2×pi× r

that means in our case it is

2×pi×3 = 6×pi ft

The equation 2(x + 3) = 20 has the same solution as the equation 2x + 3 = 20. Question 4 options: True False

Answers

Answer:

False

Step-by-step explanation:

Because when you distribute 2(x+3)=20 turns to 2x+6=20 and 2x+6≠2x+3

False. Expand the first equation to get 2X plus 6 equals 20.
Just multiply 2 by everything in the parentheses.
This is not the same as the other equation.
X in the first problem equals 14/2 or 7
And 17/2 in the other equation.
So false.
Please mark as the best!

(Pls help ASAP) (Willing to give 15 points for 2 answers) (Pls don't answer if you don't know)



The second one you have to choose GREATER THAN, LESS THAN, OR EQUAL TO

Answers

Answer:

what is intercept: intercept simply means a point on the y axis through which a slope passes and also in the equation you were given y = mx + c I mean y = 2x -2 the c is the intercept meaning -2 .

so wherever that straight line meets with with y axis the number at that very point is your intercept.

the y intercept for the first one is -2

and it's "less than" since it's a negative number.

Step-by-step explanation:

Hope this helps.

Good luck✅.

A solution to -x + 10 = 2x + 4 is 8

Answers

Answer:

False.

Step-by-step explanation:

What is the question if you have the solution already?

I guess its a true/false question. In that case it's false because:

-x + 10 = 2x + 4

-x -2x + 10 = 4

-x - 2x = 4 - 10

-3x = -6

x = - 6 / -3

x = 2

Answer:

False.

This equation has only one solution, and it is x = 2.

Step-by-step explanation:

-x + 10 = 2x + 4

Subtract 2x from both sides.

-3x + 10 = 4

Subtract 10 from both sides.

-3x = -6

Divide both sides by -3.

x = 2

False.

HURRRYY PLEASEE
Determine the surface área of the pyramids below

Answers

Step-by-step explanation:

EXAMPLE OF SURFACE AREA

1/2 × (30×4) × 39 + (30×30)

= 60 × 39 + 900

= 2340 + 900

= 3240

Need help! Its For Khan Academny

Answers

Answer:

Your 3 answers are

A) y=0.25xC) GraphE) Table

Step-by-step explanation:

If you were to graph them and compare the original graph they are exactly the same.

A) y=0.25x is the same thing as y= 1/4 * x

slope m is 1/4 on the original graph and given decimal form.

C) Is the same graph but the point given is at (4,1)

E) is the points between 6<x<8 and 1.5<y<2 as the original graph.

75-90 divided by 6 HELP ME ASAP PLS

Answers

.833333333333 is the answer

pls help asap for 13 pls and thank u

Answers

Answer:
The answer is 35.5 square units


Step-by-step explanation:

The shape represents a rectangle, a small triangle removed from it at the upper right corner and a bigger triangle is attached to it at the upper left corner.

We get this formula:
A(shape) = A(rectangle) - A(small triangle) + A(big triangle)
SO LET'S FIND EACH!

A(rectangle)= length x width
length= 8 units
width= 4 units
We get:
A(rectangle) =8x4= 32 square unit

A(small triangle)= (base x height)/2
base= 1 unit
height= 1 unit
We get:
A(small triangle) = (1x1)/2 = 1/2 = 0.5 square units

A(big triangle)= (base x height)/2
base= 2 units
height= 4units
We get:
A(big triangle)= (2x4)/2 = 8/2 = 4 square units

For the final result:
A(shape) = 32 - 0.5 + 4 = 35.5 square units


If the rent of flat is Rs. 3,60,000 for one year, find the monthly rent of the flat.

Answers

The division is one of the four fundamental arithmetic operations. The rent of the flat for each month will be Rs. 30,000.

What is Division?

Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that the rent of the flat for one year is Rs. 3,60,000. Since a year has 12 months. Therefore, the rent for each month will be,

[tex]\rm \text{Rent for one month} = \dfrac{Rs.\ 3,60,000}{12} = Rs.\ 30,000[/tex]

Hence, the rent of the flat for each month will be Rs. 30,000.

Learn more about Division:

https://brainly.com/question/369266

#SPJ1

5. On a test, 85% of the students
scored higher than 70. If there are
40 students in the class, how many
more students scored higher than
70 than students who did not? ?

Answers

Yes
This is the right so you 80*70

The price of a computer is marked down from $550 to $484 for a sale. The
following week, the computer is marked down again by the same percent as
during the week before. How much lower than the original price is the price after
the second markdown?
A $425.92
C
$124.08
B $132.00
D
$58.08

Answers

Answer:

A) $425.92

Step-by-step explanation:

The new price percentage with relation to the previous can be determined by dividing [tex]p = \frac{484}{550}[/tex]. Once we calculate p, we can multiply it by 484, which is equivalent to applying the same discount, thus [tex]\frac{484}{550}484=425.92[/tex]

A book bag was bought on a 45% off sale for $65.87. What was the original price rounded to the nearest cent.

Answers

Answer: 119.76 approx to 119.8

Step-by-step explanation:

55 % = 65.87

1% = 65.87/55

100% = 65.87/55 × 100/1

When computing a correlation coefficient, if you have 55 degrees of freedom, your sample size must be ______. Group of answer choices 56 57 54 58

Answers

Considering that you have 55 degrees of freedom, your sample size must be of 56.

What is the amount of a degrees of freedom in a sample?

It is given by one less than the sample size.

In this problem, you have 55 degrees of freedom, hence:

n - 1 = 55

n = 56.

Your sample size must be of 56.

More can be learned about degrees of freedom at https://brainly.com/question/16162795

#SPJ1

PLEASE HELP ME!!!!

Given that f(x)=x+2 and g(x)=3x^2-1. What is (fg)(x)?

Answer: ???
PLEASE EXPLAIN YOUR REASONING!!

Answers

(fg)(x)=f(x)×g(x)(x+2)(3x²-1)x(3x²-1)+2(3x²-1)3x³-x+6x²-23x³+6x²-x-2

Done!

Thang decided to borrow ​$7000 from his local bank to help pay for a car. His loan was for 3 years at a simple interest rate of 6​%. How much interest will Thang​ pay?

Answers

Answer:

$420

Step-by-step explanation:

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS THANKS PLS

Answers

Answer:

1/3 and 1/4

Step-by-step explanation:

For the first question, both 3 and 6 work for multiple of 3

There are 6 possible options so the probability is 2/6 or 1/3

Second Question, there are 8 total letters and 2 vowels

The probability is 2/8 or 1/4

I need help, i cant use calculator

Answers

Answer: True.

Step-by-step explanation:

This inequality is ALWAYS true.

Hope this helps!

Find the standard deviation, correct to 2 decimal places.

Data Set: 10, 12, 12, 16, 24

Mean 14.8

Answers

Answer:

5

Step-by-step explanation:

Step 1: Mean

           10+12+12+16+24

           =74/5

           =14.8

Step 2: Standard Deviation

             Formula----- square root of varieance

             23.04+7.84+7.84+1.44+84.64/5

            124.8/5

             24.96

             [tex]\sqrt{24.96}[/tex]

            4.996

            5

what is 24 + 45 = what i d k

Answers

Answer:

69

Step-by-step explanation:

[tex]24 +45= 69[/tex]

24 + 45=

2+4=6

4+5=9

so, 24+45=69

Hope this helps! Have a good day! :)

!!!!!!!!!!!!(NO LINKS) WILL MARK BRAINLIEST!!!!!!!!!!
What is the slope of a line parallel to line B?
A) 5/3
B) -1/3
C) 5/2
D) 2/5

Answers

The answer is A) 5/3

Answer:

c

Step-by-step explanation:

the rise(y) is 10 if you count and the run(x) is 4 slope is y/x so its 10/4 and you can simplify that to 5/2

a train traveled 162 miles in 3hours. At that rate, how many miles will the train travel in 1/3 hour?

Answers

Answer:

18 miles

Step-by-step explanation:

162 ÷ 3 × ⅓ = 18 miles

Hope this helps =)

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