Ursula and Velda live 4 km apart. They leave their homes at the same time, walking towards each other. If Ursula walks at a rate of 400 m/h, and Velda walks at a rate of 600 m/h, how far apart are they 15 minutes before they meet (in m)?

Answers

Answer 1

Answer: 250 m

Step-by-step explanation:

Given

Distance between Ursula and Velda house is 4 km or 4000 m

Ursula walks at the rate of [tex]400\ m/h\ or\ \frac{20}{3}\ m/min[/tex]

Velda walks at the rate of [tex]600\ m/h\ or\ 10\ m/min[/tex]

Time taken by them to cover 4000 m is

[tex]\Rightarrow \dfrac{4000}{400+600}=4\ h\ or\ 240\ min[/tex]

Distance covered by them 15 min before they meet

Ursula [tex]=\frac{20}{3}\times 225=1500\ m[/tex]

Velda [tex]=10\times 225=2250\ m[/tex]

The total length covered by them is [tex]=1500+2250=3750\ m[/tex]

They are [tex]4000-3750=250\ m[/tex] apart before they meet


Related Questions

what valie of x makes the equation true​

Answers

Answer:

x = 1.25

Step-by-step explanation:

-3x+10 = 5x-8

+3x        +3x

10 = 8x - 8

+8           +8

18 = 8x

x = 18/8

x = 1 1/4 = 1.25  

translated 7 units right and 2 units up.

Answers

Answer:

where was the starting point?

if the starting point was the origin then the translated point is (7, 2)

Answer:

are you talking about a graph? If it's from (0,0) then (7,2)

Step-by-step explanation:

20 POINTS I WILL GIVE YOU BRAINLIEST IF YOU CAN FIND EACH MISSING VARIABLE PLS PLS PLS

Answers

Answer:

145?

Step-by-step explanation:

5 x / 3 > 5 Fill in the blank with a numerator or denominator to make the number sentence
true.

Answers

Answer:

Any number above 4 will make this true.

Step-by-step explanation:

(5 x 4)/ 3 = 20/3 = 6.67 > 5

Answer:

Any number greater than 3.

Step-by-step explanation:

If you multiply 5 by any number greater than 3 and then divide it by 3 it will result in a number bigger than 5.

If you multiply the 5 by a number less than three, and then divide it by 3 it will result in a number less than 5 which makes the equation false.

You also can't multiply 5 by 3 and then divide it by 3 because it will make the answer equal to 5. This makes the equation false.

what is the gcf (greatest common factor) of 9/45​

Answers

Answer:

9: 1,3,9

45: 1, 3, 5, 9, 15, and 45

Step-by-step explanation:

So the gcf is 9

Answer:

9

GCF of 9 and 45 is 9

Step-by-step explanation:

The greatest common factor of two numbers x and y is the greatest number that divides x and y leaving the remainder as 0

We can find the GCF of 9 and 45 by the following methods.

GCF of 9 and 45 by Listing the Common Factors Method

GCF of 9 and 45 by Prime Factorization Method


Find the measure of the angle

Answers

Answer:

27

Step-by-step explanation:

The triangle shown is an isoceles triangle. This means that there are two congruent base angles and a vertex angle. In this case, angle X and angle Y are the base angles, so we can set up an equation to first find the value of t.

5t - 13 = 3t + 3

2t - 13 = 3              (Subtract 3t from both sides)

2t = 16                   (Add 13 to both sides)

t = 8                      (Divide both sides by 2)

Now that we have the value of t, we can plug it back in to the expression for angle X to find its measure.

5(8) - 13

40 - 13

27

So, the measure of angle X is 27

Please answer the following:

Answers

Answer:

Conner's work is correct

Jana's work is incorrect

Step-by-step explanation:

Explanation: While Multiplying, exponents of the same bases gets added and not multiplied.

Here, CONNOR HAS ADDED THE EXPONENTS WHEREAS JANA HAS MULTIPLIED THE EXPONENTS.

Tom spent half of his allowance going to the movies. He washed the family car and earned 7 dollars. What is his weekly allowance if he ended with 15 dollars?

Answers

Answer:

Tom's weekly allowance is $16.

Step-by-step explanation:

With the information provided, first you have to subtract the amount he earned washing the family car from the total amount he had to determine the amount he had left from his allowance after going to the movies:

$15-$7=$8

Now, since the statement indicates that tom spent half of his allowance going to the movies, this means that the $8 represents the amount left after going to the movies and it is half of his allowance. So, you have to multiply this amount by 2 to find his weekly allowance:

$8*2=$16

According to this,the answer is that Tom's weekly allowance is $16.

Solve for x solve for x

Answers

All the angles added up = 360°

46 + 4x - 2 + 9x + 6 + 8x - 5 = 360
21x + 45 = 360
21x = 315
x = 15

Let me know if you have questions.

Answer:

15

Step-by-step explanation:

The sum of angles around a point is added up to 360°.

Accordingly,

4x - 2 + 9x + 6 + 8x - 5 + 46 = 360

Combine like terms.

21x + 45 = 360

Subtract 45 from both sides.

21x = 360 - 45

21x = 315

x = 15

what attendance at a basketball game will produce about 125 containers to be recycled

Answers

Answer:

About 250 attendance

Step-by-step explanation:

Answer:

The attendance of 250

Step-by-step explanation:

You would see where the 125 containers is on the left is and then you would just go right from there until you hit a meeting point on the straight line which would be at 250

please help with this vocab will mark brainliest​

Answers

Answer:

1. Semicircle

2. Arc Length

3. Minor arc

4. Arc Measure

5. Circumference

6. Diameter

7. Radius

I would appreciate if you helped

Answers

Answer:

A -7

Step-by-step explanation:

the x intercept of a line means where it cross the x coordinate, which is -7

Answer:

a) -7

Step-by-step explanation:

(calculate the dots in the graph)

Apply the distributive property to create an equivalent expression. 1/2 ( 10 x + 20 y + 10 z )=

Answers

Answer:

5x+10y+5z

Step-by-step explanation:

Distributive Property means you multiply each component by the value you are distributing in this case: (1/2)(10x) + (1/2)(20y) + (1/2)(10z) which will yield 5x+10y+5z

Find the hypotenuse of a right triangle that has a 13cm leg and a height of 7cm

Answers

Answer:

14.76 cm

Step-by-step explanation:

Use the pythagorean theorem:

a² + b² = c²

Plug in the side lengths and solve for c:

7² + 13² = c²

49 + 169 = c²

218 = c²

14.76 = c

So, the hypotenuse is approximately 14.76 cm

whats the area of this figure​

Answers

The answer to your problem is 341 km

Answer:

341km2

Step-by-step explanation:

7km*25km=175km2

8km*(11km+6km)=136km2

5km*6km=30km2

175km2+136km2+30km2=341km2

Which box and whisker plot represents this data: 6,7,8,10,18,20,22,25,28,28,30,30?

Answers

Answer:

its the last one D

Step-by-step explanation:

The median is 22 and the rest dont have that as the median

Someone help me please ASAP

Answers

Answer:

false, should be left instead

Step-by-step explanation:

negative numbers on the left of zero, positive on the right

Answer:

False

Step-by-step explanation:

Negative numbers are to the left of zero (0) on a number line.

^

|

|     type that in the box below

brainliest please

Students took a poll that asked whether or not they watch television in the evenings and whether or not they have homework on those same evenings. The two-way table below shows the results of the poll.

Homework No Homework Total
TV 6 12 18
No TV 9 3 12
Total 15 15 30

Calculate the relative frequency of the data to determine which association the two-way table suggests.
A.
Students who watch television in the evenings tend to have homework.

B.
None of the associations listed are correct.

C.
Students who watch television in the evenings tend not to have any homework.

D.
Students who do not watch television in the evenings tend not to have any homework.

Answers

Answer:

Students who watch television in the evenings tend not to have any homework is the association suggested by the two-way table.

Step-by-step explanation:

Of the students who watch television, 33% have homework, and 67% do not have homework.

So, students who watch television in the evening tend not to have homework.

Of the students who do not watch television, 75% have homework, and 25% do not have homework.

So, students who do not watch television in the evenings tend to have homework.

I just had the question on Study Island!

Answer:

Students who watch television in the evenings tend not to have any homework.

Step-by-step explanation:

Have a good day :)

pls helpppp!!
Its a math question i suck at math please help!

Answers

I believe it is the first one

What is the length of the missing leg?​

Answers

Answer:

15 ft

Step-by-step explanation:

Write an expression showing five less than the number A

Answers

Answer: A-5

Step-by-step explanation:

"A" the number and 5 which should be less than the number

You make the equation

A-5

3:10 how many ways can you do it answer choices answer all fraction and decimals DONT PUT FILES I CANNOT CLICK THEM!!!!

Answers

Answer:whats the question

Explanation:(pls dont report me as soon as u tell me the question i will edit my answer and answer correctly)

Answer:

3/10, 6/20, 9/30, 12/40, 15/50, 18/60, 21/70, 24/80, 27/90, 30/100, 33/110, 36/120, 39/130, 42/140, 45/150, 48/160, 51/170, 54/180, 57/190, 60/200, 0.3

Step-by-step explanation:

I need help seventh please question 3

Answers

Answer:

2) n=11

Step-by-step explanation:

Answer(2) n = 11

[tex]2n - 6 < 16 \\ 2n - 6 + 6 < 16 + 6 \\ 2n < 22 \\ \frac{2n}{2} < \frac{22}{2} \\ answer = n < 11[/tex]

I hope it helps ^_^

An ice cream shop sells 700 cones per day at a price of $4.50. A survey lets the owner know
that for every decrease in price of $0.50, they will be able to sell 100 extra cones. Write an
equation for the Revenue, R, which can be used to determine how much the owners should
charge in order to maximize their revenue.​

Answers

Answer:

R(x) = (4.50 – 0.50x)(700 + 100x)

___________________________

R(x) is in factored form

Where x is each decrease in the price.

____________________________

Explanation:

R(x) is in the form ax² + bx + c.

This is where the equation is distributed and simplified [Standard form]

The maximum revenue is represented by

R(-b/2a), where the vertex of this relationship is, at x = -b/2a.

Revenue = (Price)(Quantity)

____________________________

R(x) = (4.50 – 0.50x)(700 + 100x) →

-50x² + 100x + 3150 [ax² + bx + c].

x = -b/2a

x = -(100)/2(-50)

x = -100 / -100

x = 100 / 100

x = 1

Therefore R(1) or where the price is decreased by a factor of 1 is the maximum revenue.

R(2) = -50(1)² + 100(1) + 3150

R(2) = -50(1) + 100 + 3150

R(2) = -50 + 100 + 3150

R(2) = 3200.

_______________________________

Thus the best revenue ($3,200) is obtained by decreasing the price once (Price of 4$), with 800 cones.

[AB] is a diameter of center C(O, 3cm). M is a point on (C) such that MA=MB. D is the symmetric of A with respect to M.
What is the nature of triangle AMB? Justify.​

Answers

Answer:

Isosceles right triangle.

Step-by-step explanation:

From the given triangle ABM,

AM ≅ MB [Given]

∠AMB is an angle subtended by the diameter AB.

By theorem, angle subtended by a diameter is always 90°.

m∠AMB = 90°

So the given triangle is a right triangle with two equal sides AM and MB.

Therefore, ΔAMB is an isosceles right triangle.

Need the answer asap !

Answers

Note: This question needs practical measurements so I am going to use my clock at home. Otherwise, you can measure the clock at your house and work out.

the diameter of the clock= 30 cm

the radius of the clock= 15 cm

(a) the area of the clock is

[tex]\pi r^{2} = 3.14 \times 15^{2} = 706.5 \: cm^{2} [/tex]

(b) The length of the minute hand covered in one hour is equal to the circumference of the clock.

The circumference of the clock is

[tex]2\pi \times radius = 2 \times 3.14 \times 15 = 94.2 \: cm[/tex]

Find slope of line that passes through the points (2,-5) and (3,4).

Answers

Answer:

The slope is 9/1 or just 9.

Step-by-step explanation:

I used the y1-y2/x1-x2 slope formula.

What is the slope of the line that passes through the points (25, 50) and (80, 110)?


PLs HELP I WILL DO ANYTHING

Answers

Answer:

12/11

Step-by-step explanation:

the formula to find the slope of a line is:

where  is the slope and  and  are the points where the line passes.

in this case we have that the first point is: (25,50)  thus⇒  and

and the second point: (80,110) thus ⇒  and

substituting this values into the formula for the slope:

the slope of the line is 12/11

Help pls !!!! Math is fun

Answers

Answer:

16

Step-by-step explanation:

The ratio fo the lengths of the sides of a 30-60-90 triangle is

short leg  :  long leg  : hypotenuse

      1        :    sqrt(3)    :         2

In a 30-60-90 triangle, the length of the short leg is the length of the long leg divided by sqrt(3).

The length of the short leg is 8 cm.

The length of the hypotenuse is twice the length of the short leg.

g = 2 * 8 cm = 16 cm

What are the answers to all the questions? Make sure to show your work and the check.

Answers

1. 34c = 68

Divide both sides by 34

C = 68/34

C = 2

2. D - 1/2 = 3/4

Add 1/2 to both sides

D = 3/4 + 1/2

D = 1 1/4

3. E + 52.5 = 81

Subtract 52.5 from both sides

E =81-52.5

E = 28.5

4. 18 = f/0.3

Multiply both sides by 0.3

F = 18 x 0.3

F = 5.4

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