if you are in a 200 meter race and finish 19 meters ahead of your opponent, if you were to run the race again, where woild you have to start to end the race in a tie?

​

Answer: B. y= -2x+28

Steps:

In the equation, take,"y" as result of the distance of the motorboat from the shore.

Now take the "x" value as the time taken. And hold the unit of x as 12 because you already know that in 12 minutes the motorboat is 4km far from the shore. Then solve the four equations and find out which ones value of,"y" comes 4

After doing all the equations i m pretty sure you will that B. y=  -2x + 28

y= -2 * 12 + 28

y= -24+28

y= 4

Answer:

The answer is B

Step-by-step explanation:

Answer Ben plays video games for 1 1/2 hours per day for the 3 days

Step-by-step explanation:

He has (10 - 5 1/2) hours or 4 1/2 hours left to split evenly over the next 3 days.

Let D = #hours per day Ben plays, then

3D = 4 1/2

3D = 4.5

D = 4.5/3

D = 1.5

Answer:

12.4 ft

Step-by-step explanation:

Everything is done right so far.

Now to calculate the height of the tree, 12tan46, put the equation into a calculator.

Either a graphing calculator (make sure it is in degrees, not radians),

or the one on your phone (turn your phone landscape in the calculator app to get the trig functions.))

12tan46= 12.4 ft

Answer:

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Answer:

Negative correlation

Step-by-step explanation:

As TV hours increase, exercise hours decrease.

Answer:

7/8x ≥ 14

Step-by-step explanation:

(sum means addition in case you forgot)

You would start by writing 7/8x + 20 ≥ 34

You would then subtract 20 from both sides to isolate the variable x.

You would then have 7/8x ≥  14

The answer is A.

A negative x a negative equals a positive so the square root of a negative value cannot be a negative value.

Answer:

C

Step-by-step explanation:

i need a points point muna

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

Explanation:

Highlight the rows that correspond to 6 months and 10 months.

This leads to the two points (6,330) and (10,460).

Apply the slope formula. This is because the slope is the average rate of change.

m = (y2-y1)/(x2-x1)

m = (460-330)/(10-6)

m = 130/4

m = 32.5

This is the average rate of change from month 6 to month 10.

Let A = 32.5 so we can compare it later.

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

Now let's focus on months 4 and 8

We get the two points (4, 300) and (8, 410)

Use the slope formula again

m = (y2-y1)/(x2-x1)

m = (410-300)/(8-4)

m = 110/4

m = 27.5

Let B = 27.5

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

For the third answer choice, we have the points (2,240) and (8,410)

Once again, use the slope formula.

m = (y2-y1)/(x2-x1)

m = (410-240)/(8-2)

m = 170/6

m = 28.33 approximately

Let C = 28.33

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

Lastly for choice D we have the points (4,300) and (10,460)

So,

m = (y2-y1)/(x2-x1)

m = (460-300)/(10-4)

m = 160/6

m = 26.67 approximately

Let D = 26.67

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

To recap everything, we found these four average rates of change for choices A through D

We see that A is the largest of that group. Therefore, the greatest average rate of change of that group is from month 6 to month 10. This is why choice A is the final answer.

Answer:

(-2,5)

Step-by-step explanation:

Answer:

  x = 1/3

Step-by-step explanation:

Both bases can be written as powers of 6.

  36^x = (1/6)^(x-1) . . . . . . given

  (6^2)^x = (6^-1)^(x -1) . . . . . bases as powers of 6

  6^(2x) = 6^(-x+1) . . . . . . . . . simplify exponents

  2x = -x +1 . . . . . . . . . . . . . . . .equate exponents of the same base

  3x = 1 . . . . . . . add x

  x = 1/3 . . . . . divide by 3

The required linear equation representing the distribution is

p(x) = -0.1x + 0.5

From the table given, we can generate the equation for the distribution.

Expressing as a coordinate form (x, p(x)). We can use the coordinate points (1, 0.4) and (2, 0.3)

The linear expression will be in the form p(x) = mx + b

Gete the rate of change:

m = 0.3-0.4/2-1

m = -0.1/1

m = -0.1

Get the intercept.

0.4 = -0.1(1) + b

0.4  = -0.1  + b

b = 0.4 + 0.1

b = 0.5

Hence the required linear equation representing the distribution is

p(x) = -0.1x + 0.5

Learn more on linear equation here: https://brainly.com/question/18176080

Answer:

3x - b

3 (-2/15) - 3/10

-6/15 -3/10

-60/150 - 45/150

- 105/150

Answer:

Step-by-step explanation:

Area of the room is 12.5(14) = 175 ft²

2x2 tiles are 4 ft²

175 /4 = 43.75 tiles so 44 will be needed

44($0.79) = $34.76

3x3 tiles are 9ft²

175/9 = 19.4444... so 20 will be needed

20($1.25) = $25.00

the larger tiles will cost $9.24 less than the smaller tiles.

Obviously some of the tiles will need to be cut to fit as the length and width of the room are not always a uniform number of tiles for either side.

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The value of x is ~

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's solve for x ~

I hope it helped ~

[tex]꧁  \:  \large \frak{Eternal \:  Being } \: ꧂[/tex]

The value of x in the given equation is [tex]-\frac{4}{5}[/tex]

From the question,

We are to solve the given equation

The given equation is

[tex]log_{6}(36) = 5x +6[/tex]

This becomes

[tex]log_{6}(6^{2} ) = 5x +6[/tex]

From one of the laws of logarithms, we have that

[tex]log_{x}(x^{2} ) = 2log_{x}(x)[/tex]

and

[tex]log_{x}(x) = 1[/tex]

∴ [tex]log_{6}(6^{2} ) = 5x +6[/tex] becomes

[tex]2log_{6}(6) = 5x +6[/tex]

and

[tex]2(1)= 5x +6[/tex]

[tex]2 = 5x +6[/tex]

Now, subtract 6 from both sides

[tex]2-6 = 5x +6-6[/tex]

[tex]-4 = 5x[/tex]

∴ [tex]x = -\frac{4}{5}[/tex]

Hence, the value of x in the given equation is [tex]-\frac{4}{5}[/tex]

Learn more on solving equations here: https://brainly.com/question/11802986

Answer:

Range is {3,-1, 15}

Step-by-step explanation:

Answer:

{3, -1, 15} is the range.

Step-by-step explanation:

Answer:

Concrete can be purchased by the cubic yard. How much will it cost to pour a slab 18 feet by 18 feet by 6 inches for a patio if the concrete costs $42.00 per cubic yard?

Step-by-step explanation:

I HOPE THIS HELPS

Answer:

Step-by-step explanation:

6x + 10 + 2x + 26 = 180

8x + 36 = 180

8x = 144

x = 18

Answer:37.5 hrs

Step-by-step explanation:

15/4 = 3.75

3.75*10=37.5

The answer is 37.5 hours

Answer:

The is answer is 19.1x8.6= 164.26

Step-by-step explanation:

Answer:

I'm pretty sure the answer is B, I hope this helps!

Answer:

Yes all of the logs can be used in such a grouping.

We'll have 19 logs in the bottom row (and have 19 rows)

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

Explanation:

Let n be the number of layers. Let T(n) represent how many logs there are total.

This process continues for however long you like. The sequence 1,3,6,10,15 is the set of triangular numbers, since the logs form a triangular or pyramid shape when stacked this way. To get the nth value in the triangular number sequence, use this formula

T(n) = 0.5*n*(n+1)

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

For example, let's say we wanted to find how many logs there were in the fifth layer

T(n) = 0.5*n*(n+1)

T(5) = 0.5*5*(5+1)

T(5) = 15

This matches from earlier.

The purpose of bringing in a formula is to see if we can get T(n) = 190 for some integer n.

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

T(n) = 0.5*n*(n+1)

190 = 0.5*n*(n+1)

190*2 = n(n+1)

380 = n^2+n

0 = n^2+n-380

n^2+n-180 = 0

Applying the quadratic formula will lead to the two solutions: n = -20 and n = 19. We ignore the negative value of n as we can't have a negative number of rows. Therefore, n = 19 is the only valid solution here.

If we wanted to stack 190 logs in this triangular pyramid fashion, then we'll need to have 19 rows. The bottom row will have 19 logs.

----------

Check:

1+2+3+4+5+6+7+8+9+10 = 55

11+12+13+14+15+16+17+18+19 = 135

55+135 = 190

Or you could say,

T(n) = 0.5*n*(n+1)

T(19) = 0.5*19*(19+1)

T(19) = 190

Either way, the answer is confirmed.

Answer:

Step-by-step explanation:

[tex]\frac{1}{3} * \frac{5}{3} = \frac{1 * 5}{3*3} = \frac{5}{9}[/tex]

The answer is 5/9 as you can see. 5/9 = 20 inches each.

1 yard = 36 inches

(5/9 * 36)  = 5 * 4 = 20 inches.

Answer:

5/9

Step-by-step explanation:

I have a trick id like to teach here. Whenever you have a fraction being divided by a whole number, you can multiply the denominator by the diviser

So what I did was multiply the 3 by the diviser(3) and got 9

This left me with 5/9

A) given that in 2019 you were among the 21.11% of the best students in the class, in that year you had the higher percentile ranking, and B) the measure of average that would be the most meaningful is the median.

Given that your class rank in 2018 was 89 out of 360 students, while in 2019 your class rank was 95 out of 450 students, to determine A) in which year did you have the higher percentile ranking, and B) if you had the data on the cumulative GPA of each student at the end of the spring semester in 2018, which measure of average would be the most meaningful - mean, median or mode -, the following calculation should be performed:

Therefore, A) given that in 2019 you were among the 21.11% of the best students in the class, in that year you had the higher percentile ranking, and B) the measure of average that would be the most meaningful is the median.

Learn more about maths in https://brainly.com/question/25748895

Answer:

Y is cookies x is cupcakes

for the first birthday party: 20x + 40y = 61

For the second party 30x + 30y = 64.50

There aren't any other constraints

20x + 40y = 61

30x + 30y = 64.50

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

6a+6b=ma

?? Not 100% sure, so have someone else answer please too