Two cyclists start from 98 miles apart and begin racing toward each
other. Three hours later, they have not yet met and the distance between
them is 2 miles. How fast is each of them biking if one bikes 3 mph
slower than the other?

Answers

Answer 1

The speed of one bicyclist was 14.5mph, speed of the other bicyclist was 17.5mph.

Let the speed of one bicyclist=x mph

Let the speed of the other bicyclist=(x+3) mph

Hence:

Speed of one bicyclist:

3x+3(x+3)+2=98

3x+3x+9+2=98

6x=87

Divide both side by 6x

x=87/6

x=14.5 mph

Speed of the other bicyclist:

x+3 mph

14.5 mph+3 mph

=17.5 mph

Inconclusion the speed of one bicyclist was 14.5mph, speed of the other bicyclist was 17.5mph.

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Related Questions

The n sequence question

Answers

Answer:

a) in order

-3;-2;-1

b) 6

1-4=-3

2-4=-2

3-4=-1

4-4=0

5-4=1

6-4=2

7-4=3

8-4=4

9-4=5

10-4=6

As a part of raising funds for an orphanage,you received $120.50 and wanted to split the money into
groups of food items; clothes and story books .

a)If you want the same amount for each group, how much money will you put into each group?

b)Imagine if you want to save same amount of the money for stationary items, then how will you split the money into various groups?Justify

c)If you receive an extra money of $9.50 from people, then how much will be saved for each group?(Include all the groups)

Answers

Answer:

a) there are three groups here

total cash = $120.50

each group takes = $120.50 / 3

each group have = $40.17

b) Total no of groups = 4

Total cash = $120.50

each group takes = $120.50 / 4

Each group have = $30.13

c) Total group =4

Total cash = $120.50 + $9.50

=$130

each group have = $130 / 4

=$32.5

Given m|n, find the value of x. (6x-9) → (5x+10) ​

Answers

>> Answer

__________

[tex] \: [/tex]

6x - 9 = 5x + 10

6x - 5x = 10 + 9

x = 19

work out the surface area of this cylinder
8cm diameter
16.8cm height

Answers

surface area: 522.76cm

Find the missing side of each triangle. Round your answers to the nearest tenth if necessary. (Please Show)

Answers

Answer:

x = 12.2 mi

Step-by-step explanation:

Given the two sides of the right triangle:

a = 6.1 mi

b = 10.6 mi

c = x

Use the Pythagorean Theorem to solve for the value of the hypotenuse, x:

c² = a² + b²

c² = (6.1)² + (10.6)²

[tex]\sqrt{(c^{2})} = \sqrt{37.21 + 112.36}[/tex]

c = 12.2 mi

Therefore, the value of the hypotenuse is:  x = 12.2 mi

>> Answer

___________

[tex] \: [/tex]

[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]

Step by step :

x² = (10,6)² + (6,1)²

x² = 112,36 + 37,21

x² = 149,57

x = 12,22mi



½x - 5 = -6

Which solution makes this equation true?


1. -12

2. -2

Answers

Answer: -2

Let’s try x = -12

1/2(-12) - 5 = -6

PEMDAS says to multiply first

1/2 x -12 = -6

So

-6 - 5 = -6

-6 - 5 = -11 not -6 so it’s not that

Now let’s do x = -2

1/2(-2) - 5 = -6

Again, you multiply first

1/2 x -2 = -1

-1 - 5 = -6 so it works

how do i find the sum of (5/4q + 1) + (q - 4) + (-1/4q + 2)

Answers

Answer:

2q-1

Step-by-step explanation:

Add:

Look at only the q's inside the parenthesis and see if there are other q's in it, in this case there are none.

Now look outside the parenthesis and add the q's outside of it which is 5/4q, q and -1/4q

5/4q-1/4q is q

q+q is 2q

Now do the same thing with the numbers that doesn't have variables

1-4+2=-1

So the answer is 2q-1

Hope this helps!

Answer:

2q -1

Step-by-step explanation:

(5/4q + 1) + (q - 4) + (-1/4q + 2)

5/4q + 1 + q - 4 - 1/4q + 2

5/4q + q - 1/4q + 1 - 4 + 2

2q -1

your friend says that there are 36 feet in 12 yards is your friend correct? explain your reasoning.

PLEASE HURRY!!​

Answers

Answer:

Yes

Step-by-step explanation:

1 yard is 3 feet. so 12 yards is 36 by 12*3

Help meeeeee ????????

Answers

3(m+2) = 5m-58

3m+6 = 5m-58

6 = 2m-58

64 = 2m

m = 32

What is the approximate value of the number below rounded to the
nearest tenths.
37
——
√144

Answers

Answer:

3.08

Step-by-step explanation:

because 144 is a squre root of 12

For brainily please help

Answers

Answer:

3

Step-by-step explanation:

It's the same on both sides

3 because the sides are the same

Help! What can we do to kill off the zombies?? The scientists realize that salt kills the zombies, if enough is poured on them (one full can). The reaction between the salt and zombie blood causes the zombie to disintegrate. Morton's salt has a plant in Tooele county just west of Grantsville, and can distribute cans of salt to people residing in Utah. If Morton's salt can distribute 300,000 cans of salt each day, write an equation to model the number of cans of salt distributed after n days.

Question 4 options:

f(n)=300,000n

f(n)=300,000+n

f(n)=300,000n

f(n)=300,000n/n

Answers

Answer:

I think its f(n)=300,000n

Step-by-step explanation:

Answer:

f(n)=300,000n

Step-by-step explanation:

Write an equation. A number is doubled, then 9 is added. The result is 23.

Answers

Answer:

2n + 9 = 23

Step-by-step explanation:

let the number be n then double the number is 2n and adding 9 gives

2n + 9 ( the result is 23 ) , so

2n + 9 = 23 ← is the equation modelling the statement

Molly is helping her younger sister run a lemonade stand. They earn $2 for each cup of
lemonade they sell.
Write an equation that shows how their total earnings, y, depend on the number of cups sold,
X.
Do not include dollar signs in the equation.
y =

Answers

Answer:

y= x • 2

Step-by-step explanation:

The amount of money they make is dependent of how many 2 dollar cups they sell.

(please crown me brainleist I need to level up)

{(2, 2),(4, 4),(6, 6),(8, 8)}
Is a Function – { ( 2, 2 ),( 4, 4 ),( 6, 6 ),( 8, 8 ) }
Is not a Function – { ( 2, 2 ),( 4, 4 ),( 6, 6 ),( 8, 8 ) }

{(0, 3),(3, 5),(5, 6),(8, 4)}
Is a Function – { ( 0, 3 ),( 3, 5 ),( 5, 6 ),( 8, 4 ) }
Is not a Function – { ( 0, 3 ),( 3, 5 ),( 5, 6 ),( 8, 4 ) }

{(1, 2),(3, 3),(4, 8),(6, 3)}
Is a Function – { ( 1, 2 ),( 3, 3 ),( 4, 8 ),( 6, 3 ) }
Is not a Function – { ( 1, 2 ),( 3, 3 ),( 4, 8 ),( 6, 3 ) }

{(3, 4),(5, 2),(5, 6),(7, 3)}
Is a Function – { ( 3, 4 ),( 5, 2 ),( 5, 6 ),( 7, 3 ) }
Is not a Function – { ( 3, 4 ),( 5, 2 ),( 5, 6 ),( 7, 3 ) }


which is not a function and which is a function?

Answers

{(2, 2),(4, 4),(6, 6),(8, 8)} Is a function.

{(0, 3),(3, 5),(5, 6),(8, 4)} Is a function.

{(1, 2),(3, 3),(4, 8),(6, 3)} Is a function.

{(3, 4),(5, 2),(5, 6),(7, 3)} Is not a function.

For a relation to be a function, every x value must have only one y value.

Please help me this question…

Answers

the area of the rectangle is 0.1 square meter

Area of rectangle is Length * width

Let's solve the equations
It's clear from the rectangle that the widths are equal.
So 2x-1=x+2
2x-x=2+1
X=3 cm

Let's find y from the heights
2y=3y-1
3y-2y=1
y=1cm

Let's apply the area formula
A= L*W
3*1
= 3 cm ^2

We know 1 meter =100 cm

So 3cm * 1m^2/(100cm )^2
Area in meter = 0.0003 meter^2


Given m||n, find the value of x.
т
Rt
>m
(2X-22)
(5x-8)°
>

Answers

Given angles are supplementary.

[tex]\\ \sf\longmapsto 2x-22+5x-8=180[/tex]

[tex]\\ \sf\longmapsto 7x-30=180[/tex]

[tex]\\ \sf\longmapsto 7x=180+30=210[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{210}{7}[/tex]

[tex]\\ \sf\longmapsto x=30[/tex]


1) Jen spends $5.98 on ribbon. Ribbon costs $0.92 per meter. How many
meters of ribbon does Jen buy?

Answers

Answer:

6.5

Step-by-step explanation:

5.98÷0.92= 6.5m

A special type of door lock has a panel with five buttons labeled with the digits 1 through 5. This lock is opened by a sequence of three actions. Each action consists of either pressing one of the buttons or pressing a pair of them simultaneously.

Answers

There are several ways the door can be locked, these ways illustrate combination.

There are 3375 possible combinations

From the question, we have:

[tex]\mathbf{n = 5}[/tex] --- the number of digits

[tex]\mathbf{r = 3}[/tex] ---- the number of actions

Each of the three actions can either be:

Pressing one buttonPressing a pair of buttons

The number of ways of pressing a button is:

[tex]\mathbf{n_1 = ^5C_1}[/tex]

Apply combination formula

[tex]\mathbf{n_1 = \frac{5!}{(5-1)!1!}}[/tex]

[tex]\mathbf{n_1 = \frac{5!}{4!1!}}[/tex]

[tex]\mathbf{n_1 = \frac{5 \times 4!}{4! \times 1}}[/tex]

[tex]\mathbf{n_1 = 5}[/tex]

The number of ways of pressing a pair is:

[tex]\mathbf{n_2 = ^5C_2}[/tex]

Apply combination formula

[tex]\mathbf{n_2 = \frac{5!}{(5-2)!2!}}[/tex]

[tex]\mathbf{n_2 = \frac{5!}{3!2!}}[/tex]

[tex]\mathbf{n_2 = \frac{5 \times 4 \times 3!}{3! \times 2 \times 1}}[/tex]

[tex]\mathbf{n_2 = 10}[/tex]

So, the number of ways of performing one action is:

[tex]\mathbf{n =n_1 + n_2}[/tex]

[tex]\mathbf{n =5 + 10}[/tex]

[tex]\mathbf{n =15}[/tex]

For the three actions, the number of ways is:

[tex]\mathbf{Action = n^3}[/tex]

[tex]\mathbf{Action = 15^3}[/tex]

[tex]\mathbf{Action = 3375}[/tex]

Hence, there are 3375 possible combinations

Read more about permutation and combination at:

https://brainly.com/question/4546043

Ms. Dirr is selling her car to her sister. The original price of the car was $24,179 and
each year the car decreasing (goes down) by $3000. Write a function rule where C =
value of the car and y = number of years
O C = 3000 - 24179y
O C = 24179 - 3000y
O C = 3000 + 24179y
OC - 24179 + 3000y

Answers

Answer: 24,179 - 3000y

Step-by-step explanation: Each year the car goes down by 3000 since you said it was decreasing, so y represents the year and you eould out it next to the 3000 to represent that 3000 is being decreased every year.

What are the types of roots in a quadratic equation?

Answers

Answer:

There are three types of roots of a quadratic equation ax2+bx+c=0 a x 2 + b x + c = 0 : Real and distinct roots. Real and equal roots. Complex roots.

Step-by-step explanation:

Hope this helps!

Can u plz mark me as brainliest? plz :)

order the numbers from least to greatest

Answers

Answer:

-7/3 < -3/4 < 0.5 < 2/3 < 1.2

Step-by-step explanation: Heres your answer. Sorry if its wrong.

Explain why it does not matter which point you choose when writing the
equation of the line in point-slope form, given two points.

Answers

Answer:

because, it will completely change the slope

Step-by-step explanation:

It does not matter which point you choose when writing the

equation of the line in point-slope form because the slope of the line remains same.

What is a slope ?

A slope can be thought of as rate of change of y axis with respect to x axis.

We have been asked in this statement that why it doesn't matter that which point we choose when writing the equation in point slope form.

Let us understand this with an example,Suppose we have two pair of points. (x₁,y₁) = (2,3) and (x₂,y₂) = (5,9).

We know slope(m) is = (y₂-y₁)/(x₂-x₁).

Slope(m₁) = (9-3)/(5-2)

               = 6/3

               = 2.

Now if interchange the points  (x₁,y₁) =  (5,9) and  (x₂,y₂) =  (2,3).

Slope(m₂) = (3-9)/(2-5)

                = -6/-3

                = 2.

So, even when interchanging the points the slope m₁ = m₂ this is the reason why it doesn't matter which point we choose.

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A rancher feeds one of her horses 6 scoops of corn each day during the winter. She feeds the horse half as much corn during the summer. How much corn does the rancher feed the horse each day in the summer?

Answers

Answer:

the answer is three

Step-by-step explanation:

because half of 6 is 3

find the slope with the given numbers​

Answers

Answer:

[tex]m=-\frac{1}{26}[/tex]

Step-by-step explanation:

Formula:

[tex]Slope:m=\frac{y_2-y_1}{x_2-x_1}\\[/tex]

----------------------------------------------------------------------------------------------------------------

Work:

[tex]m=\frac{-15-(-16)}{-7-19}\\\\m=-\frac{1}{26}[/tex]

Un paralelogramo con una base de 13cm y una altura de 8cm, su área es de

Answers

El área del paralelogramo con base de 13 centímetros y altura de 8 centímetros es 104 centímetros cuadrados.

El área del paralelogramo, en centímetros cuadrados, es igual al producto de su base por su altura, ambos en centímetros. En consecuencia, el área de la figura geométrica es la siguiente:

[tex]A = (13\,cm)\cdot (8\,cm)[/tex]

[tex]A = 104\,cm^{2}[/tex]

El área del paralelogramo con base de 13 centímetros y altura de 8 centímetros es 104 centímetros cuadrados.

Invitamos cordialmente a ver esta pregunta sobre paralelogramos: https://brainly.com/question/17205536

the square root of negative 9 is not negative 3 because..​

Answers

Answer:

You cant have a negative square root

Explanation:

The answers will always be positive or a perfect square

Hope this Helps

I need the answer for this

Answers

Answer:

JK = 12.6

Step-by-step explanation:

Similarity says ratio of any cooresponding sides are equal to the ratio of any other cooresponding sides. SO

25.2/66 = JK/33

33(25.2/66) = JK

12.6 = JK

How many 1/4 cup servings are in 5/6 cups of yogurt?​

Answers

Answer:

3.3

Step-by-step explanation:

1/4*3 = 3/12 (find lcd lowest common factor )

5/6 *2 10/12 figure out how many time 3 goes into 10 about 3.3 repeating

Answer:       [tex]\right] \left[\begin{array}{ccc}0.3 cups\\\end{array}\right] \\[/tex]

Step 1: Write the problem as a mathematical expression.

1/4 and 5/6

Step 2: Convert the fraction to a decimal by dividing the numerator by the denominator.

0.3 cups

Definitions:

A. Fraction- A number used to name a part of a group or a whole. The number below the division line is the denominator, and the number above the division line is the numerator.

B. Expression- A mathematical symbol, or combination of symbols, representing a value, or relation.

Have a great day!

how do I do this please help

Answers

Answer:

i do not know what it all says

Step-by-step explanation:

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