Austin is participating in a 30k race. He runs at an average speed of 10 kilometers per hour and walks at an average speed of 6 kilometers per hour. He wants to complete the race in 4 hours. Let x represent the number of hours he runs. Let y represent the number of hours he walks.

What equation in standard form relates x and y to the goal of covering 30 kilometers? (no spaces) ​

Answers

Answer 1

Using the relation between velocity, distance and time, the equation that relates x and y is given by:

x + y - 3 = 0.

What is relation between velocity, distance and time?

Velocity is distance divided by time, hence:

[tex]v = \frac{d}{t}[/tex]

In this problem, he wants to run 30 km at a rate of 10 km per hour, hence:

[tex]10 = \frac{30}{t}[/tex]

10t = 30

t = 3.

The total time is 3 hours. Considering x as the number of hours he runs and y the number of hours he walks, along with the total time, the equation is given by:

x + y = 3.

In standard form:

x + y - 3 = 0.

More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569


Related Questions

6 inches = _____ centimeters

Answers

Answer:

15.2 cm

Step-by-step explanation:

Inch to centimeter conversion is multiplying the number of inches by 2.54

6 * 2.54 = 15.24

the 2 is in the tenths place

4 is less than and not equal to 5, therefore the 2 stays the same

6 inches = 15.2 centimeters

hope this helps:)

Arectangular fish tank measures 35 cm long, 24 cm wide, and 50 cm high. It contains 25 liters of water. How many more liters of water are needed to fill the fish tank completely?​

Answers

Answer:

i think it is a but i am not sure

Step-by-step explanation:

please get this right !!!

Answers

The answer would be 1/9

Answer:

3rd option

Step-by-step explanation:

probability (P) is calculated as

P = [tex]\frac{desired outcome}{total outcomes}[/tex]

deired outcome is red marble = 4

total outcomes = 4 + 2 + 3 = 9

then

P(red) = [tex]\frac{4}{9}[/tex]

since the marble is not replaced then total outcomes = 8

desired outcome is yellow marble = 2

P(blue) = [tex]\frac{2}{8}[/tex] = [tex]\frac{1}{4}[/tex]

then

P(red and yellow ) = [tex]\frac{4}{9}[/tex] × [tex]\frac{1}{4}[/tex] = [tex]\frac{1}{9}[/tex]

Find the product of this expression.

(2a - 3b)(4a 2 + 6ab + 9b 2 ) =

Answers

8a+27b^3 i belive is the solution

Answer:

8a³-27b³

Step-by-step explanation:

use the box method to multiply

combine the like terms

Find the missing side of the right triangle a=24m and b=7m

Answers

Answer:625

Step-by-step explanation:

a squared plus b squared =c Squared

can anyone help me answer this

Answers

week 3 looks around 60 mins and week 4 around 120
so 180 minutes in total

Can anyone help me been stuck for a while​

Answers

Answer:

total marbles = 15 + 12 = 27

blue marbles  =  12

probability of blue marble = 12/27 simplifies to 4/9

Question:

Can anyone help me been stuck for a while.

Answer:

[tex]\frac{4}{9}[/tex]

Step-by-step explanation:

The bag has 15 white marbles,

and 12 blue marbles.

Add the totals together, and you would get:

27.

turn that into a fraction:

[tex]\frac{12}{27}[/tex]

then simplify:

Find the GCD (or HCF) of numerator and denominator

GCD of 12 and 27 is 3

Divide both the numerator and denominator by the GCD

12 ÷ 3

27 ÷ 3

Reduced fraction:

[tex]\frac{4}{9}[/tex]

Therefore, [tex]\frac{12}{27}[/tex] simplified to lowest terms is:

[tex]\frac{4}{9}[/tex]

Therefore, your answer would be: [tex]\frac{4}{9}[/tex]


solve each problem. round your answer to the nearest hundredth
what is 12% of 36.51

Answers

Answer:

4.38

Step-by-step explanation:

12% of 36.51 can be written as;

[tex](\frac{12}{100} )*(36.51)=x[/tex]

and then you can solve;

=> 0.12 x 36.51 = x

=> 4.38 = x

Hope this helps!

Find the equation of the lines a and b

Answers

Answer:

Line A = y = 3x – 2

Line B = y = -4x + 5

Step-by-step explanation:

subtract 6.28-1.26 =?
a)4.98
b)5.02
c)5.20
d)5.28

Answers

Answer:

C. 5.02

Step-by-step explanation:

Answer:

b) 5.02

Step-by-step explanation:

6.28-1.26 =?

Line up the numbers,

 6.28

-  1.26

       ?

Subtract left from right,

 6.28

-  1.26

       ?

8 - 6

⇒ 2

 6.28

-  1.26

       2

2 - 2

⇒ 0

 6.28

-  1.26

  5.02

6 - 1

⇒ 5

 6.28

-  1.26

  5.02

Hence, the answer is 5.02, ⇒ option b

Is the realationship below proportional or Non

Answers

Answer:

Yeah, it's proportional!

Step-by-step explanation:

It has a constant ratio.

Answer:

yes, the cost is 8 times the number of tickets

Step-by-step explanation:

Which graph represents the piecewise-defined function f(x) = StartLayout enlarged left-brace 1st Row 1st column negative x + 4, 2nd column 0 less-than-or-equal-to x less-than 3 2nd row 1st column 6, 2nd column x greater-than-or-equal-to 3 EndLayout?

On a coordinate plane, a piecewise function has 2 lines. The first line has an open circle at (3, 6), continues horizontally to the left at y equals 6 with an arrow instead of an endpoint. The second line has a closed circle at (3, 0) and continues up to an open circle at (5, 3).

On a coordinate plane, a piecewise function has 2 lines. The first line has a closed circle at (3, 6), continues horizontally to the left at y equals 6 with an arrow instead of an endpoint. The second line has a closed circle at (3, 0) and continues up to a closed circle at (5, 3).

On a coordinate plane, a piecewise function has 2 lines. The first line has an open circle at (0, 4) and continues down to a closed circle at (3, 1). The second line has an open circle at (3, 6), continues horizontally at y = 6 with an arrow instead of an endpoint.

On a coordinate plane, a piecewise function has 2 lines. The first line has a closed circle at (0, 4) and continues down to an open circle at (3, 1). The second line has a closed circle at (3, 6), continues horizontally at y = 6 with an arrow instead of an endpoint.

Answers

Answer:

A FOR EDGE 2022

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

What is the size of the angle, below?
please help me

Answers

Answer:

1093 is answer OK please add me in brainliest

Answer:

Step-by-step explanation:

wheres hte pic


Directions: Fill in the blank with the
correct angle names: acute, right, obtuse, straight.
angles that are greater than 90° and less than 180°
angles that are exactly 180°
angles that are exactly 90°
angles that
are greater than 0° and less than 90

Answers

Answer:

1. obtuse

2. straight

3. right

4. acute

Step-by-step explanation:

Rules are

Greater than 90=ObtuseLess than 90=acuteequal to 90=rightEqual to 189=straight

So

our answers are

Obtusestraightrightacute

please help me with this thank you

Answers

beep bop boop bleep bloop i is bored lol

Use the fact that the bacteria is doubling every five minutes. What fraction of the bottle was full at 11:20am?

Answers

D.1/16 step-by-step explanation

A circle with equation
x^2 + y^2 = 10 is graphed in the standard (X,y)
coordinate plane. At which two points does the circle intersect the x- axis.
O a
(o, /T0) (o,-V10)
O b
(-/10,o) (VT0,0)
O c
(-100, 0) (100, 0)
O d
(-10, 0)(10, 0)
O e
(0, 10)(0, -10)

Answers

Answer:

(-3.162, 0) and (3.162, 0)

Step-by-step explanation:

Let me know if you need an explanation

pls helpie welpieeee!!

Answers

Answer:

A

Step-by-step explanation:

rate of change of table is 10     equation is 6

A trapezoid has base lengths of 12 centimeters and 13 centimeters. The other sides have lengths of 5 centimeters and 10 centimeters. A rectangle with side lengths of 2 centimeters and 5 centimeters is connected to the side with length 10 centimeters. What is the area of the composite figure? 70 cm2 100 cm2 105 cm2 130 cm2

Answers

Answer:

D. 100 cm^2

Step-by-step explanation:

i did this before so ik im right

Answer: B 100

Step-by-step explanation:

I just took it

There is a pair of parallel sides in the following shape. 4 4 6 What is the area of the shape?​

Answers

Answer:  20

============================================================

Explanation:

It might help to rotate the figure so the parallel sides are horizontal. This is optional.

The parallel bases are [tex]b_1 = 6[/tex] and [tex]b_2 = 4[/tex] in either order.

The height is h = 4 which is always perpendicular to both bases.

Plug these values into the trapezoid area formula.

[tex]A = \frac{h(b_1 + b_2)}{2}\\\\A = \frac{4(6+4)}{2}\\\\A = \frac{4(10)}{2}\\\\A = \frac{40}{2}\\\\A = 20\\\\[/tex]

The area of the trapezoid is 20 square units.

-----------

Another pathway is to break the trapezoid into a rectangle up top and a triangle down below.

The rectangle is 4 by 4 with area 4*4 = 16

The triangle has a base of 6-4 = 2 and height of 4, so its area is base*height/2 = 2*4/2 = 8/2 = 4

Overall the total area is rectangle+triangle = 16+4 = 20 square units.

Find the measure of angle s?

a. 90°
b. 45°
c. 30°
d. 15°

Answers

It looks like the 45

What I did was add the 60+30=90 then subtract from 180 and divided my 2 and got 45 hopes this helps!

Which is most likely to weigh 2 pounds?

Answers

Answer:

Insert an image.

Step-by-step explanation:


If you may, add a picture so I can see what you mean.

PLEASE HELP If the probability that the Islanders will beat the Rangers in a game is 1/6, what is the probability that the Islanders will win at most one out of seven games in a series against the Rangers? Round your answer to the nearest thousandth.

Answers

Answer:

0.142

Step-by-step explanation:

The probability that the islanders will win at most one out of 7 games in a series = 1/7

1/7 = 0.142

Start Time: 8:10 A.M.
End Time: 10:55 A.M.
Elapsed Time:

Answers

Answer:

2 hours and 45 minutes is the answer to your question

165 min or 2 hrs 45 min

hope it helps...!!!

SOMEONE PLS HELP !!!!!!!

Answers

Answer:

5/2

Step-by-step explanation:

4(x + 7) = 38

x + 7 = 38/4

x = 38/4 - 7

x = 38/4 - 28/4

x = 10/4

x = 5/2

Reasoning:

1. Divide both sides by 4

2. Isolate variable by subtracting 7 on both sides

3. Convert 7 into an improper fraction to subtract constants

4. Simplify

PLEASE HELPP I NEED TO TURN IT IN AS SOON AS POSSIBLE

The price of a gallon of gasoline decreased by $0.04. Which number line shows a point
that represents the change in the price of a gallon of gasoline, in dollars?

Answers

I believe it's D

A decrease means you're going in the negative direction. And 0.04 is way less than 0.50

So D is the most logical answer

Mia buys 404.6 square feet of new wood
flooring. How much did she pay for the wood if it cost $0.99 Per square foot?

Answers

Answer:

$400.55 (to the nearest cent)

Step-by-step explanation:

she paid

= 404.6 x 0.99

= 400.554

= $400.55 (to the nearest cent)

hope this helps!

Answer:

$ 400.554

Step-by-step explanation:

Let the unknown price be x.

      1 ft²   ⇒ $ 0.99

404.6 ft² ⇒ x

Let us use cross multiplication to find the value of x.

0.99 × 404.6 = 1 × x

400.554 = x

Therfore, she'll pay $ 400.554 for 404.6 ft²

Determine formula of the nth term 2, 6, 12 20 30,42​

Answers

Check the forward differences of the sequence.

If [tex]\{a_n\} = \{2,6,12,20,30,42,\ldots\}[/tex], then let [tex]\{b_n\}[/tex] be the sequence of first-order differences of [tex]\{a_n\}[/tex]. That is, for n ≥ 1,

[tex]b_n = a_{n+1} - a_n[/tex]

so that [tex]\{b_n\} = \{4, 6, 8, 10, 12, \ldots\}[/tex].

Let [tex]\{c_n\}[/tex] be the sequence of differences of [tex]\{b_n\}[/tex],

[tex]c_n = b_{n+1} - b_n[/tex]

and we see that this is a constant sequence, [tex]\{c_n\} = \{2, 2, 2, 2, \ldots\}[/tex]. In other words, [tex]\{b_n\}[/tex] is an arithmetic sequence with common difference between terms of 2. That is,

[tex]2 = b_{n+1} - b_n \implies b_{n+1} = b_n + 2[/tex]

and we can solve for [tex]b_n[/tex] in terms of [tex]b_1=4[/tex]:

[tex]b_{n+1} = b_n + 2[/tex]

[tex]b_{n+1} = (b_{n-1}+2) + 2 = b_{n-1} + 2\times2[/tex]

[tex]b_{n+1} = (b_{n-2}+2) + 2\times2 = b_{n-2} + 3\times2[/tex]

and so on down to

[tex]b_{n+1} = b_1 + 2n \implies b_{n+1} = 2n + 4 \implies b_n = 2(n-1)+4 = 2(n + 1)[/tex]

We solve for [tex]a_n[/tex] in the same way.

[tex]2(n+1) = a_{n+1} - a_n \implies a_{n+1} = a_n + 2(n + 1)[/tex]

Then

[tex]a_{n+1} = (a_{n-1} + 2n) + 2(n+1) \\ ~~~~~~~= a_{n-1} + 2 ((n+1) + n)[/tex]

[tex]a_{n+1} = (a_{n-2} + 2(n-1)) + 2((n+1)+n) \\ ~~~~~~~ = a_{n-2} + 2 ((n+1) + n + (n-1))[/tex]

[tex]a_{n+1} = (a_{n-3} + 2(n-2)) + 2((n+1)+n+(n-1)) \\ ~~~~~~~= a_{n-3} + 2 ((n+1) + n + (n-1) + (n-2))[/tex]

and so on down to

[tex]a_{n+1} = a_1 + 2 \displaystyle \sum_{k=2}^{n+1} k = 2 + 2 \times \frac{n(n+3)}2[/tex]

[tex]\implies a_{n+1} = n^2 + 3n + 2 \implies \boxed{a_n = n^2 + n}[/tex]

need help asapppp !!!!

Answers

Answer:

Both

Claire

Andre

Neither

Step-by-step explanation:

We have to determine whether each point lies on Claire's line (blue) and whether it lies on Andre's line (black).

Point A is the intersection of both lines, hence the statement represents them both.

Point B only lies on Claire's line.

Point C is the start of Andre's line.

Point D is outside of both lines.

Find the value of x iready

Answers

Answer:

As it is straight line so the measure of tatal angle is 180 subtract 180 from. 88 to get the answer

Step-by-step explanation:

The correct answer is 92

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Answer:92

Step-by-step explanation:

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