Miles and kilometers are twi different scales for measuring distances. A 5-kilometer race is approximately 3.1 miles, and a 10-kilometer race id approximately 6.2 miles. Write an equation that shows the approximate distance in kilometers as a function if the distance in miles

Answers

Answer 1

Answer:

[tex]x=\dfrac{y}{0.62}[/tex]

Step-by-step explanation:

[tex]5\ \text{km}=3.1\ \text{miles}\\\Rightarrow 1\ \text{km}=\dfrac{3.1}{5}=0.62\ \text{miles}[/tex]

[tex]10\ \text{km}=6.2\ \text{miles}\\\Rightarrow 1\ \text{km}=\dfrac{6.2}{10}=0.62\ \text{miles}[/tex]

Let [tex]y[/tex] be the distance in miles. So distance in km is given by

[tex]x=\dfrac{y}{0.62}[/tex].

The equation that shows the approximate distance in kilometers as a function if the distance in miles is [tex]x=\dfrac{y}{0.62}[/tex].


Related Questions

A city received 2 inches of rain each day for three days The meterorologist said that is the rain had been snow each inch of rain would have been 10 inches of snow How much snow would that city have received in the three days

Answers

9514 1404 393

Answer:

  60 inches

Step-by-step explanation:

The total amount of rain received was ...

  (2 in/day)(3 day) = 6 in

The conversion factor for snow is (10 in snow)/(1 in rain), so the equivalent is ...

  (6 in rain) × (10 in snow)/(1 in rain) = 60 in snow

The city would have received 60 inches of snow.

?????????????????????????????

Answers

Answer:

73°

Step-by-step explanation:

Angles on a straight line add up to 180°

angle ABC= 180-146= 34°

Angles in a traingle add up to 180°

180-34= 146°

y= 146÷2= 73°

hope it helps! please mark me brainliest

thank you! have a good day ahead

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Answer:

Option D (73°)

Step-by-step explanation:

According to Exterior Angle Property , the measure of exterior angle is the sum of the opposite interior angles.

So, according to the question -

[tex]y + y = 146[/tex]

[tex] = > 2y = 146[/tex]

[tex] = > y = \frac{146}{2} = 73[/tex]

Which function shows a fabric with a price of $1.25 per square yard?

Answers

Answer:

D

Step-by-step explanation:

An ice cream factory makes 210 quarts of ice cream in 2 hours. Calculate the unit rate of quarts per hour.​

Answers

Answer:

105 quarts an hour

Step-by-step explanation:

divide 210 by 2

Calculate the volume of the following shape.
8cm

20cm

Answers

Answer:

Volume of Cylinder =

[tex]\pi {r}^{2} h[/tex]

So :

Step-by-step explanation:

[tex]volume = 3.14 \times ( {8}^{2} ) \times 20 = 3.14 \times 64 \times 20 = 4019.2[/tex]

Answer:

Volume = 4021.24 cm ^3

Step-by-step explanation:

V = πr2h = π·82·20 = 4021.2386 cm ^3

The line L passes through the points (0, –2) and (6, 1).

Find an equation of the line L.

Answers

The equation for line L is, y=-1/6x+2

Answer:

an equation of the line L will be: y = 1/2x - 2

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

m is the slopeb is the y-intercept

Given the points

(0, -2)(6, 1)

Determining the slope between (0, -2) and (6, 1)

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

[tex]\left(x_1,\:y_1\right)=\left(0,\:-2\right),\:\left(x_2,\:y_2\right)=\left(6,\:1\right)[/tex]

[tex]m=\frac{1-\left(-2\right)}{6-0}[/tex]

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

The y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the point (0, -2), we can determine that at x = 0, the value of y = -2.

Thus,

The y-intercept b = -2

now substituting b = -2 and m = 1/2 in the slope-intercept form of line equation

y = mx+b

y = 1/2x + -2

y = 1/2x - 2

Therefore, an equation of the line L will be: y = 1/2x - 2

90 Points! Select the correct answer. (Screenshot attached)

Answers

[tex]\\ \rm\Rrightarrow \sqrt[3]{686x^4y^7}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt[3]{343(2)x^4y^7}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt[3]{7^3(2)x^4y^7}[/tex]

[tex]\\ \rm\Rrightarrow 7xy^2\sqrt[3]{2xy^2}[/tex]

Option C

Damien is competing in both swimming and running at a competition. After analyzing himself and his competitors, he knows that he has a 65% chance of winning at swimming and an 85% chance of winning at running. What is the probability that he will win the running event, but lose the swimming event?

Answers

Answer:

[tex]Probability = 0.2975[/tex]

Step-by-step explanation:

Giving:

Swimming

[tex]P(Win[Swim])= 65\%[/tex]

Running

[tex]P(Win[Run])= 85\%[/tex]

Required

Determine the probability of winning at running and losing at swimming

First, we calculate the probability of losing at swimming using

[tex]P(Win) + P(Lose) = 1[/tex]

Substitute 65% for P(Win)

[tex]65\% + P(Lose[Swim]) = 1[/tex]

Collect Like Terms

[tex]P(Lose[Swim]) = 1 - 65\%[/tex]

[tex]P(Lose[Swim]) = 35\%[/tex]

The required probability is then calculated using:

[tex]Probability = P(Win[Run]) * P(Lose[Swim])[/tex]

[tex]Probability = 85\% * 35\%[/tex]

Convert to decimal

[tex]Probability = 0.85 * 0.35[/tex]

[tex]Probability = 0.2975[/tex]

x - y = 2

x + y = -3
Solve this using elimination
Quickly please!!!!

Answers

The answer for x=-1
The answer for y=-5/2

I believe these are correct

annyone wanna help 9x-14=22

Answers

Answer:

4

Step-by-step explanation:

Answer to question is: X=4

what is 5000000000000000times 409458374.9394ir

Answers

Answer:

2,047,291,874,697,000,000,000,000

Step-by-step explanation:

that is the answer to the multiplication statement xD

A bag contains 5 red marbles, 3 green marbles, and 2 yellow marbles. A marble will be drawn from the bag and replaced 50 times. What is a reasonable prediction for the number of times a red or green marble will be drawn? a. 5 b. 40 c. 8 d. 20

Answers

Answer:

i think option b is correct

Step-by-step explanation:

What are is the answer here and why? Use the notes in the left.

Answers

Answer:

X = 3.

explanation is in the picture.

hope it helps.

Answer:

x = 3

Step-by-step explanation:

2(3x -5) + 3x + 3 = 20

^^ solve parenthesis

6x - 10 + 3x + 3 = 20

    +10                 +10

add ten to both sides

6x + 3x + 3 = 30

add like terms

9x + 3 = 30

      -3     -3

subtract 3 from both sides

9x = 27

divide both sides by 9

x = 3

hi, can you please do these? thanks for helping!​

Answers

Answer:

i will answer you other if u rate me brainliest

Answer: (A) 1/10: 5 9/10 :5/6

(B) 3 3/4: -2 7/50

(C) 8 5/8 : 4/9

(D)2 2/5: 2 67/210: -2 2/3

(E)-1 1/2 : 81/128

Step-by-step explanation:

hopes this helps

1. Find the slope and y-intercept of the graph of the following equation.
y=-x+4

Answers

Answer:

Slope -1 , y intersept is (0,4)

Answer:

Y intercept=4 and the slope is -1/1 or -1

Step-by-step explanation:

The numeral by itself is the Y intercept and thw number next to the x would be the slope is there is no number its just one and if its a single number for ex 4x it would be 4/1 so your answer would be Y intercept=4 and the slope is -1/1 or -1

Kevin built a deck in his backyard. The length of the deck was x feet and the width of the deck was 3 feet longer than the length. Write and simplify an expression to represent the perimeter of Kevin's deck.

Answers

Answer:

4x + 6 feet

Step-by-step explanation:

The deck is the shape of a rectangle

Hence, the perimeter of a rectangle is:

P = 2L + 2W

Where

L = Length = x feet

The width of the deck was 3 feet longer than the length.

W = Width = 3 + x feet

Hence:

Perimeter = 2(x ) + 2(3 + x)

Perimeter = 2x + 6 + 2x

Perimeter = 4x + 6 feet

Hence, the expression for the Perimeter of the deck is given as:

4x + 6 feet

7. Find the area of a rectangle if has a length the size of (x - 7) and a width the size of
(5x + 3).

Answers

Answer:

Area of a rectangle (A)= length(l) *Width(w)

l=(x-7)

w=(5x+3)

:. A= (x-7)(5x+3)

=5x(x-7)+3(x-7)

A=5x^2-35x+3x-21

A=5x^2 -32x -21

The area is in algebraic expression

Step-by-step explanation:

3h+5 when h =4 23 points

Answers

Answer:

3*4= 12 12+5=17

Step-by-step explanation:

hav a great day :P

Answer:

17

Step-by-step explanation:

3h + 5    h=4

plug in 4 for h

3(4) + 5

12 + 5

17

Hope this Helps!!!

Here is a number machine.

Answers

Answer:

The output is 3n + 6

Step-by-step explanation:

You have to apply all of the steps in order:

Since we cannot simplify n+2, we have to write it as (n+2). Next, since we do the next step, multiply by 3. This would be 3(n+2), and if you apply the distributive property (multiply), you would get 3 * n + 2 * 3, or 3n + 6.

Answer: 3n + 6

y = –2x2 + 8x - 3
help :c

Answers

Answer:

8x-7

Step-by-step explanation:

-4+8x-3

8x-4-3

8x-7

Write a real-world problem that is represented by the inequality below. x >5​

Answers

Speed limit Legal speed on the highway ≤ 65 miles per hour
Credit card Monthly payment ≥ 10% of your balance in that billing cycle
Text messaging Allowable number of text messages per month ≤ 250
Travel time Time needed to walk from home to school ≥ 18 minutes

SOLVE FOR X, EXPLAIN PLEASE URGENT.

Answers

3x-3=27
-3=-3
3x=24
3x/3=24/3
X=8

Two employees Maggie and Rachel earn $18 per hour. Maggie receives 1.00 raise each 6 months and Rachel receives a 6% raise each year. Write an equation to represent Maggie pay over x years

Answers

18-10000% in 6 months x is 18

Find the sum or difference:

(2w - 9) + (-4w - 5)

(6d + 5) - (2 - 3d)

(4 - 5y) - (2y - 16)

Answers

Answer:

-2w+-14

3d+3

-7y+-16

Step-by-step explanation:

Remove ()-     2w+-9+-4w+-5

2w+-4w = -2w

-9+-5 = -14

-2w+-14

Remove ()-    6d+5+-2+-3d

6d+-3d = 3d

5+-2 = 3

3d+3

Remove ()-   4+-5y+-2y+-16

-5y+-2y = -7y

4+-16 = -12

-7y+-12

10.8 as a fraction please answer

Answers

Answer:

1 2/8 or 10/8

Answer: 54/5

Step-by-step explanation:

Which one is equivalent? Answer needed ASAP!!
Will mark Brainliest!!

Answers

Answer:

-5÷17, -5/17, 5/-17

Step-by-step explanation:

Answer:

-5/17, 5/(-17), 5/-17 (sorry if they're wrong i'm doing my homework at the same time.)

Step-by-step explanation:

H varies directly to the cube of c.
When H = 40, C = 2.
(a) Express H in terms of c.

Answers

Answer:

H in terms of c is H = 5c³.

Step-by-step explanation:

Given that:

H = 40 and c = 2

H varies directly to the cube of c.

Which means that,

H ∝ c³

Let,

k be the proportionality constant.

H = kc³

Putting H=40 and c=2

[tex]40=k(2)^3\\40=k(8)\\40=8k\\8k=40[/tex]

Dividing both sides by 8,

[tex]\frac{8k}{8}=\frac{40}{8}\\k=5[/tex]

Now,

H in terms of c.

H = 5c³

Hence,

H in terms of c is H = 5c³.

h(n) = 3^n+3; Find h (3n)

Answers

Answer:

The option which you chose is absolutely right.

Step-by-step explanation:

h(n) = 3^ n + 3

h(3n) = 3 ^3n + 3

Hope it will help :)

3x + 2z - 4y - 6 + 4z + 7y


x = 2, y = 1, z = -3

plz help me with this. this is a substitution question. plz show all steps to this question. Thank You!

Answers

Answer:

3x(2z+4z)+(−4y+7y)−6

Step-by-step explanation:

1 Collect like terms.

3x+(2z+4z)+(−4y+7y)−6

2 Simplify.

3x+(2z+4z)+(−4y+7y)−6

3x+6z+3y−6

Times it by 6 and take away 10 and the result is 44

Answers

Answer:

(for your second question) 23.69

Step-by-step explanation:

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