A bicyclist traveled with a speed of 12 km/h from a camping ground to a station, located 60 km away. Write a formula expressing the dependence of the variable s on t, where s is the distance between the bicyclist and the station in km, t - the duration (time) of his travel in hours. Using the formula, find: s for t=3.5

Answers

Answer 1
Part a:
for t = 3.5 hours
velocity = distance / time
distance = velocity x time
distance = 12 x 3.5 = 42 km

Part b:
for s = 30 km
velocity = distance / time
time = distance / velocity
time = 30 / 12 = 2.5 hours

Related Questions

Simplify the expression below. 2−432

Answers

Answer:

-430.

Step-by-step explanation:

2 - 432= -430

the answer is 430 :)

Point B is the center of the circle shown, and the length of arc AC is 8π. What is the area of the circle?

Answers

Answer:

[tex]A=324\pi \text{ units}^2\approx1017.88\text{ units}^2[/tex]

Step-by-step explanation:

The formula for arc length is:

[tex]\stackrel{\frown}{A}=2\pi r(\frac{\theta}{360}})[/tex]

Where Θ is measured in degrees.

We know that the arc length is 8π when the degree is 80. So, substitute 8π for A and 80 for Θ:

[tex]8\pi=2\pi r(\frac{80}{360})[/tex]

Divide both sides by 2π:

[tex]4=r\frac{80}{360}[/tex]

Simplify the fraction:

[tex]4=\frac{2}{9}r[/tex]

Multiply both sides by 9/2:

[tex]r=18[/tex]

So, the radius is 18.

Now, we can find the area of the circle. The formula for the area of a circle is:

[tex]A=\pi r^2[/tex]

Substitute 18 into r:

[tex]A=\pi (18)^2[/tex]

Simplify:

[tex]A=324\pi \text{ units}^2\approx1017.88\text{ units}^2[/tex]

And we're done!

Answer:

A

Step-by-step explanation:

WELP WILL MARK BRAINLEST 4. Part A: Jerry claimed that the expression -8 + d is negative. Determine whether Jerry's claim is always true, sometimes true, or never true. Provide evidence to support your conclusion. (10 points)

Answers

sometimes true, depends on d. ex: -8 + -8 is negative, but -8 + 9 is positive

Answer:  His claim is SOMETIMES true.

Let's just take an example, d=2.

-8 + 2 equals -6, so negative. BUT, let's say d=9.

-8 + 9 equals 1, 1 is positive.

Jerry's claim is sometimes true.

David bought 5 bags of rice for his restaurant. Each bag weighed 5.3 kilograms. How many kilograms of rice did he buy total

Answers

Answer:

multiply 5 x 5.3 =?

Step-by-step explanation:

 5.0

x 5.3

-----------

26.5

(3 3/4)÷(−2 1/2) PLEASE HURRY

Answers

Answer:

-3/2

Step-by-step explanation:

(3 3/4)÷(−2 1/2) = -3/2

Answer:

Step-by-step explanation turn (3 3/4) to a mixed number and(-2 1/2) then you divided it

Which equation demonstrates the distributive property?

Answers

do you want me to explain what the distributive property is????

i'm confused-

Answer:

The distributive property of multiplication states that a ( b + c ) = a b + a c . It's often used for equations when the terms within the parentheses can't be simplified because they contain one or more variables.

pls help will mark brainliest

Answers

Answer: the answer is

-5x

Step-by-step explanation:

you first need to circle the numbers with the same variables then add those numbers and you get an answer but before you submit it add the variable x.

Could you brainliest PLZ

-5x
You could you calculator do doit too! Next time

Sharon has a hula hoop with a circumference of 88 inches. What is the approximate diameter of her hula hoop?

Answers

The diameter should be about 190

Answer:190

Step-by-step explanation:

What steps would you take in order to solve the equation m + 61 = 39 ? add 61 and multiply by add 61 and multiply by 2 subtract 61 and multiply by subtract 61 and multiply by 2

Answers

First you want to isolate m. To do this, subtract 61 from both sides to get m=-22.

Yo can someone help me out

Answers

Answer:

Second Option: [tex]\frac{7}{8} =7\div8[/tex]

Step-by-step explanation:

A fraction means to divide.

[tex]1\div2=\frac{1}{2}[/tex]

Therefore,

[tex]\frac{7}{8} =7\div8[/tex]

Answer:There are many equivalent fractions to

7

8

;

here are a few:

14

16

,

21

24

,

49

56

,

28

32

Explanation:

7

8

is the simplest of the equivalent fractions.

Did you (perhaps) intend to ask for the equivalent decimal fraction of

7

8

In this case

7

8

=

7

×

125

8

×

125

=

875

1000

=

0.875

Step-by-step explanation:

Look at the screenshot pls!!!!!!!!!!!!!!!!!!!!!!!! THANK YOU

Answers

Answer:

A=12 B=11 C=14

Step-by-step explanation:

12(a)+11(b)=23

12(a)+14(c)=26

11(b)+14(c)=25

The answer is: A=12 B=11 C=14

someone give the coordinates of this reflected over the x—axis and a horizontal translation seven units to the left:(

Answers

Answer:

its 3 , 4 but i could be wrong

Step-by-step explanation:

What value of m makes the equation true?
16 + 2 ( 5m -8 ) - m = 36

Answers

16+2(5m-8)-m=36


First solve 2(5m-8)

2x5m= 10m 2x(-8)= -16


Now it looks like this


16+10m-16-m=36


Cancel 16 with the -16

10m-m=36

Now here its pretty obvious


9m=36

To find m divide 9 by 36


36:9=4


m=4

Answer:

4

Step-by-step explanation:

16 + 10m - 16 - m = 36,

9m = 36,

m = 4

Find the quotient 288/16 which correct
A:13 R 20
B:14 R 4
C:103 R 20
D:104 R 4

Answers

Answer:

the answer is C

Step-by-step explanation:

It should be 18 but I’m not sure I don’t see that option for the answer choices you provided

How are ratios, rates, and unit rates used to solve problems?

Answers

Answer: Write each rate 26 cups for 8 people as a fraction in simplest form, then give the unit rate. Solution: So, the rate in simplest form is Since the unit rate is 3.25 cups per person. Two ratios (or two rates) in fractions set equal to each other is called a proportion.

Step-by-step explanation:

VERY EASY QUESTION. Write out this equation: ten times the sum of half a number and 6 is 8

Answers

Answer:

x

=

58

5

Step-by-step explanation:

10 times:

10

×

The sum of:

10

×

(

?

+

?

)

half a number:

10

×

(

x

2

+

?

)

and 6:

10

×

(

x

2

+

6

)

is 8 :

10

×

(

x

2

+

6

)

=

8

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

10

(

x

2

+

6

)

=

8

Multiply out the bracket

5

x

+

60

=

8

Subtract 60 from both sides

5

x

=

58

Divide both sides by 5

x

=

58

5

Answer:

10  ×   ( ? + ? )

half a number:  

→10×(x2+?) and 6: → 10 × ( x 2 + 6 )

is 8 : → 10 × ( x 2 + 6 ) = 8

10 ( x 2 + 6 ) = 8

Multiply out the bracket

5 x + 60 = 8 Subtract 60 from both sides 5 x = 58

Divide both sides by 5 x = 58 5

10 times:  Subtract 60 from both sides

5 x = 58 Divide both sides by 5 x = 58 5

Step-by-step explanation:

but i'm confused- if you said "VERY EASY QUESTION", why couldn't you answer it since you said "very easy"- nvm-

HELP PLSSSSSS (-2) X (3 4/7) Distributive property????

Answers

-68/7 or -9.714286


hope this helped ✨!

How do you write 9.51 x 10^-2 in standard form?

Answers

move the decimal point 2 places to the left answer: 0.0951

Answer:

.0951

Step-by-step explanation:

You move the decimal point 2 places to the left

9.51 --->.951--->.0951

Please help it's due today. 62. Use a geometric formula to solve the problem. A square has an area of 81 meters. Find the side length. I know the answer but I don't know what a geometric formula is.

Answers

Answer:

20.25

Step-by-step explanation:

81 divided by 4 sides = 20.25

A geometric formula is just a fancy way of saying formula or how you got you answer so to get the answer it’s 81 divided by 4 which gives you 20.25

The width of the fountain in Luke's drawing from the example is 2 cm. What is the width of the fountain in Isabella's scale drawing?

Answers

Answer:

Do you have a image of the fountains, send it to me.and I'll help

Answer:

any more info and i can help

Step-by-step explanation:

What is the value of 10^-5 in standard form

Answers

0.000010 is 10^-5 in standard form
0.00005 because the decimal point moves back 5 times

Mr. Wilson wrote the function f(x) = 7x - 15 on the chalkboard. What is the value of this function for f(6) A- 27 B- 37 C- 42 D- 57

Answers

Answer:27

X=6

7*6-15=27

Answer= A- 27

plug 6 into x so 7(6)-15
7 time 6 equals 42
42-15=27

A photographer sells his photographs for $20 each at an art show. He spent $185 to print the photographs and made a profit of $55 at the art show. Write an equation to find p, the number of photographs sold.
PART B ; Solve the equation.

The photographer sold ?
photographs.

Answers

Answer:

2.2

Step-by-step explanation:

He sold 2.2 photographs or at least I think so

PLZ HELP BRAINLIEST!!! solve for v


d=m/v

Answers

Answer:

V=M/D

Step-by-step explanation:

D=M/V

multiply both sides by V

divide both sides by d

V=M/D

PLZ HELP. choices below 8th grade math. attachment below THX.

Answers

$68

~~~~~~~~~~

y= x - 2

since you subtract 2 to get with the coupon, you would just add 2 for without the coupon.
$68
Y = X — 2
.................

whats 4a + 298 + 216 + ab + x. also, 2218726+17019

Answers

877 2543 because 4a and 298.is not a

Answer:

1. 197x.

2. 2235745

Step-by-step explanation:

2218726+17019 = 2235745

need help like right now

Answers

The answer for number 3 is D 2.41

A man invests a certain amount of money at 2% interest and $800 more than that amount in another account at 4% interest. At the end of one year, he earned $112 in interest. How much money was invested in each account?

Which of the following equations could be used to solve the problem?

0.02x + 0.04(800) = 112
0.02x + 0.04(x + 800) = 112
0.04x + 0.02(x + 800) = 112

Answers

Answer:

It should be the last one

Step-by-step explanation:

If it's wrong sorry but I'm pretty sure it that one

In my opinion it could be the last one

THX PLZ HELP choices that go to the attachment are, $64 $65 $67 $68

Answers

Answer:

$64 is the answer

Step-by-step explanation:

If I am correct the x and y values are the ones values of the overall $60 so if you on the x axis to where the 6 is it matches up with the 4 on the y axis so therefore the answer must be $64.

I hope this helps

Answer:

$68

Step-by-step explanation:

Looking at the graph the coupon saved $2 consistently so you do $66+$2=$68

Can i get a brainliest?

Yossi used to have a square garage with 286 ft of floor space. He recently built an addition to it. The garage is still a​ square, but now it has​ 50% more floor space. What was the length of one side of the garage​ originally? What is the length of one side of the garage​ now? What was the percent increase in the length of one​ side?

Answers

the first side is 71.5
the extended side is 107.25
i am pretty sure about this

Answer:67

Step-by-step explanation:

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