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) ​

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

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

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

Answer:

A

Step-by-step explanation:

rate of change of table is 10     equation is 6

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

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

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]

Answer:

i think it is a but i am not sure

Step-by-step explanation:

Answer:

2 hours and 45 minutes is the answer to your question

165 min or 2 hrs 45 min

hope it helps...!!!

Answer:

1. obtuse

2. straight

3. right

4. acute

Step-by-step explanation:

Rules are

So

our answers are

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.

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:

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

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.

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

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]

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:)

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:

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

Answer:

A FOR EDGE 2022

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

beep bop boop bleep bloop i is bored lol

Answer:

Line A = y = 3x – 2

Line B = y = -4x + 5

Step-by-step explanation:

Answer:

1093 is answer OK please add me in brainliest

Answer:

Step-by-step explanation:

wheres hte pic

Answer:

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

Step-by-step explanation:

Let me know if you need an explanation

Answer:

Insert an image.

Step-by-step explanation:


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

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]

Answer:625

Step-by-step explanation:

a squared plus b squared =c Squared

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!