Your friend is having trouble solving word problems. Create a word problem of your own and provide the answer along with a detailed explanation of how you solved your equation.

Answers

Answer 1

Step-by-step explanation:

Places A and B are 100 km apart on a highway. One car starts from A and another from B at the same time. If the car travel in the same direction at different speeds, they meet in 5 hours. If they travel towards each other, they meet in 1 hour. What are the speeds of the two cars?

Solution :

Let “x km/hr” be the speed of 1st car

Let “y km/hr” be the speed of the 2nd car

Time = Distance/Speed

Speed of both cars while they are traveling in the same direction = (x – y)

Speed of both cars while they are traveling in the opposite direction = (x + y)

5 = 100/(x -y)

x – y = 100/5

x - y = 20

x - y - 20 = 0 ---(1)

1 = 100/(x + y)

x + y = 100

x + y - 100 = 0--b----(2)

x/(100 + 20) = y/(-20 + 100) = 1/(1 + 1)

x/120 = y/80 = 1/2

x/120 = 1/2 y/80 = 1/2

x = 120/2 y = 80/2

x = 60 y = 40

So, the speed of first car = 60 km/hr

Speed of second car = 40 km/hr


Related Questions

The second angle of a triangle is double the first angle. The third angle is 40 less than the first angle. Find the three angles.

Answers

Answer:

Angle 1: 55

Angle 2: 110

Angle 3: 15

Step-by-step explanation:

Angle 1: x

Angle 2: 2x

Angle 3: x-40

The total degrees for all the angles in a triangle add up to 180, so we now have the equation x+2x+x-40=180. From here we solve to get 55 degrees for x, so angle 1 is 40 degrees, angle 2 is 110 (2 times 40) and the third angle is 15 (55-40).  

Un campanario tarda 4s en tocar 5 campanadas , ¿Cuanto tardara en tocar 10 campanadas?

Answers

¿Cuanto tardara en tocar 10 campanadas?

After losing 3 baseball cards, Peter gave half of his remaining cards to Bobby. If Peter gave Bobby 9 baseball cards, how many cards did Peter start with?

Answers

Answer:

Peter started with 21 cards

Step-by-step explanation:

half of his card that gave to bobby =9

so the other half is 9

9+9=18

18+3 cards that he lost at the beginning=21

Answer:

Substitute 21 for X in the original equation YES

Substitute any number for X in the original equation NO

Bobby’s claims that x=21 is correct YES

The result of verifying Bobby's work is 9=9 YES

The result of verifying Bobby's work is 21=21 NO

Step-by-step explanation:

got right on edg

Find the value of b. Round your answer to the nearest tenth.


The figure shows acute triangle A B C. The measure of angle B is 40 degrees. The length of side A B is 10. The length of side B C is 12. The length of side C A is b.

Answers

Answer:

Side CA = 7.8

Step-by-step explanation:

Given:

Acute angled [tex]\triangle ABC[/tex].

[tex]\angle B =40^\circ[/tex]

AB = 10

BC = 12

We can use cosine rule here to find the side AC = b

Formula for cosine rule:

[tex]cos B = \dfrac{a^{2}+c^{2}-b^{2}}{2ac}[/tex]

Where  

a is the side opposite to [tex]\angle A[/tex]

b is the side opposite to [tex]\angle B[/tex]

c is the side opposite to [tex]\angle C[/tex]

[tex]cos 40 = \dfrac{12^{2}+10^{2}-b^{2}}{2\times 12\times 10}\\\Rightarrow cos 40 = \dfrac{144+100-b^{2}}{240}\\\Rightarrow 0.77 = \dfrac{244-b^{2}}{240}\\\Rightarrow 244-b^{2} = 0.77 \times 240\\\Rightarrow 244-b^{2} = 183.85\\\Rightarrow 244-183.85 = b^{2}\\\Rightarrow b^2 = 60.15\\\Rightarrow b = 7.76[/tex]

To the nearest tenth b = 7.8

Find the value of x in the triangle
shown below.

Answers

Answer:

x=62

Step-by-step explanation:

In an isosceles triangle opposite sides are equal and sum of the sides is 180 degree

So, if we name them 'angle a', 'angle b' and 'angle c'

angle a= 56

a+b+c= 180

using the isosceles triangle formula b=c,

56+b+c=180

name b,c as x

56+2x=180

2x= 180-56

2x= 124

x=62

HOPE IT HELPS :)

PLEASE MARK IT THE BRAINLIEST!

The value of x in the triangle will be 62°

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Two sides of triangle = 6

So, This is an isosceles triangle.

Third side of a triangle = 5.7

Now,

Since, The given triangle is an isosceles triangle.

So, It has measure of two angles = x°

And, The measure of third angle = 56°

Since, The sum of all angles of a triangle = 180°

Substitute all the value of angles, we get;

x° + x° + 56° = 180°

Solve for x as;

2x + 56 = 180

Subtract 56 both side,

2x + 56 - 56 = 180 - 56

2x = 124

Divide by 2, we get;

x = 62°

Thus, The value of x in the triangle will be 62°

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PLEASE HELP VERY URGENT ITS DUE TODAY PLEASE HELP Complete the table for the given rule. Rule: y=1/4x + 1

X Y
4
8
12

Answers

Answer: Y = 2 ; 3 ; 4

Step-by-step explanation:

Given the rule : y=1/4x + 1

X = 4, 8, 12

When x = 4

y = 1/4(4) + 1

y = 1 + 1

y = 2

When x = 8

y = 1/4(8) + 1

y = 8/4 + 1

y = 2 + 1

y = 3

When x = 12

y = 1/4(12) + 1

y = 12/4 + 1

y = 3 + 1

y = 4

Therefore ;

X - - - 4 - - - 8 - - - 12

Y - - - 2 - - - 3 - - - 4

Which table represents a linear function

Answers

Answer:

The first photo

Step-by-step explanation:

Its a i think

El entrenamiento de basquet se una situación de una institución educativa debe elegir a uno de los dos deportistas que están en la banca para que ingrese al campo en un partido decisivo durante los juegos deportivos escolares nacionales. Pará tomar la decisión, consulta una tabla con la puntuación de cada uno de ellos en los partidos anteriores. Los puntos anotados por cada deportista de los cinco últimos partidos figuran en la siguiente tabla

Answers

Answer:

los pala de depotistas ingrese banca para tomar la decision

Step-by-step explanation:

A soccer player gets 2 points for a goal and 1 point for an assist. If the combined number of goals and assists that a player has is 24, and the total number of points that the player has is 42, which system of equations can be used to determine the number of goals and assists the player has? Assume g represents the number of goals and a represents the number of assists.

A)g + a = 24. g + 2 a = 42.
B)g + a = 24. 2 g + a = 42.
C)g + a = 42. g + 2 a = 24.
D)g + a = 42. 2 g + a = 24.

Answers

Answer:

B

Step-by-step explanation:

The soccer player has g goals and a assists.

For every goal, he/she gets 2 points and for every assist, he/she earns 1 point. This means that if we multiply g by 2, we get the number of points the player receives from g goals and if we multiply a by 1, we get the number of points the player receives from a assists.

And, that total number of points is equal to 42, so we can write:

2 * g + 1 * a = 42

2g + a = 42

Now, we understand that g and a are the number of goals and assists the player has made, and we also know that the total number of such kicks is 24, so we can write:

g + a = 24

Thus, our system is:

g + a = 24

2g + a = 42

The answer is B.

~ an aesthetics lover

Answer:

The correct answer is B. g + a = 24. 2 g + a = 42

Please answer this question now in two minutes

Answers

Answer:

A. 17.5

Step-by-step explanation:

4x+8 27

L-------------M-------------------------N

<------------------ 6x -------------------->

LM = 4x+8

MN = 27

LN = 6x

LM + MN = LN

4x+8 + 27 = 6x

35 = 2x

17.5 = x

The answer is the first option A

simplify the expression (x - 2y) + (3x + 4y)

Answers

Simplifying the expression (x - 2y) + (3x + 4y).

Work:

(x - 2y) + (3x + 4y)

Combine like terms.

x + 3x = 4x

-2y + 4y = 2y

Reform the expression.

4x + 2y

Simplified Expression: 4x + 2y.

Work out the temperature after this change. The temperature starts at −2 °C and it falls by 8 °C.

Answers

Answer:

-10 degree celsius

Explaination:

(-2) - 8

= -2 + -8

= -10 degree celsius

Hope this helps and pls mark as brianliest :)

Can some one help me

Answers

Answer:

Step-by-step explanation:

divide 4 and 2 then add 2 and 1

Answer:

y = - 4x + 17

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, 1) and (x₂, y₂ ) = (2, 9)

m = [tex]\frac{9-1}{2-4}[/tex] = [tex]\frac{8}{-2}[/tex] = - 4, thus

y = - 4x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (4, 1) , then

1 = - 16 + c ⇒ c = 1 + 16 = 17

y = - 4x + 17 ← equation of line

how do you calculate a length of a triangle

Answers

Answer:

Perimeter-width=Length

Hope this helps :)

Answer:

Area- A= b (base) times h (height) divided by 2

Perimeter- P= a+b+c

Step-by-step explanation:

PLEASE ANSWER ASPA Using the distance formula, what is the distance of C (-4, -2) and D (3, 5)?

Answers

Answer:

Approximately 9.90 units.

Step-by-step explanation:

The distance formula is:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let (-4,-2) be x1 and y1, and (3,5) be x2 and y2.

Plug in the numbers:

[tex]d=\sqrt{(3-(-4))^2+(5-(-2))^2}[/tex]

[tex]d=\sqrt{7^2+7^2}[/tex]

[tex]d=\sqrt{2(7)^2}[/tex]

[tex]d=7\sqrt{2}[/tex]

Meline has 4 different coloured crayons and 2 different boxes. How many different ways can Meline put all 4 different crayons into 2 boxes so that each box has at least 1 crayon?

Answers

Answer:

3 different ways

Step-by-step explanation:

If Melinda has 4 different crayon and 2 different boxes and she is to put all 4 crayons into the two boxes so that each box has at least 1 crayon, this  can be achieved as follows. Note that at least one crayon must be in each box, this means no box must be left empty. Each box can take any number of crayon from 1 and above.

First box      Second box

1 crayon        3 crayons (first way)

2 crayons     2 crayons (2nd way)

3 crayons     1 crayon (3rd way)

This means that crayons can be divided into each box in 3 different ways provided that each box has at least 1 crayon.

What is the period of the function y= 3/2 cot(3/5x) +5?

A. Pi/5 units

B. 3pi/5 units

C. 2pi/3

D. 5pi/3

Answers

Answer:

D; 5pi/3 units

Step-by-step explanation:

Here, we want to find the period of the function;

y = 3/2 cot (3/5x) + 5

By definition, the period of a function is the interval between two matching points in the function.

Let’s say it is the distance between two peaks, crests, etc on a function.

To find the value of the period. We shall standardize the function.

What this means is that we shall be writing the function in the standard form.

The standard form is as follows;

f(x) = A trig(Bx -C) + D

Where trig refers to the accompanying trigonometric function in question.

Comparing this standard form with our question, we can see that;

A is 3/2

B is 3/5

C is 0

D is 5

Now for cot and tan functions, we shall need to divide pi by the absolute value of B

Thus we have; pi divided by 3/5 which gives 5pi/3 units

Answer:

D. 5pi/3, period is the distance between the repetition of a function.

Step-by-step explanation:

FIND 2 RATIONAL NUMBER and two irrational numbers between 0.15 and 0.16

Answers

Answer:

Rational numbers:

Any terminating decimal is a rational number.

0.151

0.152

Irrational numbers:

Pi is irrational, so when pi is divided by a rational number, the result is irrational.

pi/20.8 = 0.151038108...

pi/20.7 = 0.151767761...

Solve for x 5 x + 2 = 7 x − 4 plz help me

Answers

Answer:

3

Step-by-step explanation:

5 x + 2 = 7 x − 4

7x-5x= 2+4

2x= 6

x= 3

Answer:

The value of x in this equation is 3.

Step-by-step explanation:

5x + 2 = 7x - 4

Subtract 7x from both sides of the equation.

-2x + 2 = -4

Subtract 2 from both sides of the equation.

-2x = -6

Divide by -2 on both sides of the equation.

x = 3

Classify the following triangle. Check all that apply.

Answers

Answer:

Isosceles, obtuse triangle

Step-by-step explanation:

The triangle is isosceles since there are equal acute-angles which therefore prove two equal sides.

The triangle is obtuse because it consists of one obtuse angle which is 98 and is greater than 90 degrees.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

How long will it take an airplane to travel 1,250 km if it is traveling at 150 km/hr ?

Answers

Answer:

[tex]\boxed{Time = 8.33 hrs}[/tex]

Step-by-step explanation:

Given:

Distance = S = 1250 km

Speed = v = 150 km/hr

Required:

Time = t = ?  hrs

Formula:

Speed = Distance / Time

Solution:

Rearranging the formula

=> Time = Distance / Speed

=> Time = 1250/150

=> Time = 8.33 hrs

Factor this polynomial completely.
15x^2 - 11X - 12

Need help ASAP!!

Answers

Answer:

( 5 x + 3 ) ( 3 x − 4 )

A

Step-by-step explanation:

the answer is A. (5x+3) (3x-4)

X=2 in standard form

Answers

Answer:

[tex]A2+By=C[/tex]

Step-by-step explanation:

Well standard form is [tex]Ax+By=C[/tex].

And we have x = 2 meaning that x is 2 so the standard is [tex]A2+By=C[/tex].

So basically if we know that x is 2 and x is in the standard for equation we can just plug it in.

So [tex]Ax+By=C[/tex]

x -> 2

So answer is [tex]A2+By=C[/tex]

2A+By=C is the standard form of X=2

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The standard form of a linear equation is Ax+By=C.

A times of x plus B times of y equal to C

A, B, and C are constants,

x and y are variables.

Standard form lets us quickly find the x- and y- intercepts.

By given x value is 2.

Now plug in the value of x in standard form of equation.

2 times of A plus B times of y equal to C

2A+By=C

Hence 2A+By=C is the standard form of X=2

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HELP
Find the volume of the sphere in terms of Pi

Answers

Answer:

Hey there!

The volume of a sphere is 4/3pir^3

If d=5, then r=2.5,

Thus, we have 4/3(15.625)pi

20.83pi

The first choice is correct.

Hope this helps :)

Answer: num 1

Step-by-step explanation:

4/3*pi*r^3

4/3*pi*15.625

20.83*pi

hope i halped

can i get brainliest?(im trying to level up)

pls

          -Zylynn

Question 5 PLEASE HELP What is the graph of 3x+6y=-18

Answers

Answer:

hope this helps uh...!!!

Answer:

Step-by-step explanation:

3x+6y=-18

y=-3x/6-18/6

y=-1/2 x-3

If the computer costs $2150 and Melissa puts
$150 away each month, how long will it take her
to save enough money to buy the computer?

Answers

Answer:

14 months and 1/3 of a month

Step-by-step explanation:

We can find how many months it will take by dividing the cost by the amount she puts away each month:

2150/150 = 14.33

So, it will take her 14 and 1/3 of a month

14 months and 1/3 months

15 POINTS!!!!! suppose f(x)=x find the graph of f(x+2) please include what the graph would look like

Answers

Answer:

The graph f(x+2) would make the graph go left by 2 units.

Step-by-step explanation:

Using graph transformations, adding two would make the graph go left 2 and subtracting would make it go right 2

Solve for g. 3/16 = (-5/4) + g

Answers

Answer:

g = 23/16

Step-by-step explanation:

3/16 = (-5/4) + g

Add 5/4 on both sides.

3/16 + 5/4 = g

Make denominators equal and add.

3/16 + 20/16 = g

23/16 = g

Select the two values of x that are roots of this equation.
x - 5x+2=0

A. X=
5+33
B. X=
C. x=
5+ _17
2
D. x-5-3​

Answers

Answer:

A and C

x = -(√17 - 5)/2, (√17 + 5)/2

Step-by-step explanation:

Quadratic Formula: [tex]x = \frac{-b +/-\sqrt{b^2-4ac} }{2a}[/tex]

Step 1: Use quadratic formula

a = 1, b = -5, c = 2

[tex]x = \frac{5 +/-\sqrt{(-5)^2-4(1)(2)} }{2(1)}[/tex]

[tex]x = \frac{5 +/-\sqrt{25-8} }{2}[/tex]

[tex]x = \frac{5 +/-\sqrt{17} }{2}[/tex]

A chef cooked 7 kg of mashed potatoes for a banquet. If the guests only ate 34of the amount he cooked, how much of the potatoes were eaten?

Answers

Answer:

2.38 Kg were eaten

Step-by-step explanation:

first we should divide 34 by 100

the result will be 0.34

then we multiply 0.34 x 7 Kg = 2.38 Kg

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In the years leading up to the American Revolution, the women of New England refused to buy English products and English tea. The loss of income made London rescind some of the taxes it had imposed on America. Now this same tacticboycottingwas used to fight slavery. Some 400,000 English people stopped buying the sugar that slaves grew and harvested. Instead, they bought loaves of sugar that carried a label that said, "Produced by the labor of FREEMEN"the sugar came from India. When the English looked at the sugar they used every day, Clarkson and the other abolitionists made them see the blood of the slaves who had created it. The very fact that slave-made sugar was so popular made it harder for the English to ignore the reality of slavery. Sugar was a bridgelike the sneakers and T-shirts and rugs that, today, we know are made by sweatshop labor. If you wanted the product, abolitionists forced you to think about how it was made. 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