a race car driver completes 30 laps in 15 minutes at a constant speed.


What's is the driver's speed?​

Answer: [tex]\dfrac{K}{2}[/tex] .

Step-by-step explanation:

As we know ,

The slope of a line that passes through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]  is given by :

[tex]\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The slope of a line that passes through (1 , 7K), and (-3,5K)​ =

[tex]\dfrac{5K-7K}{-3-1}\\\\=\dfrac{-2K}{-4}\\\\=\dfrac{K}{2}[/tex]

Hence, the slope of the given line is [tex]\dfrac{K}{2}[/tex] .

Answer:

Brandon is 7 years old. You just substitute. It's an age word problem.

Step-by-step explanation: Substitute it. 7 times 3 (times Brandon's age) is 21 then add the 6 (years greater).

Answer:

Brandon is 7 years old. You just substitute. It's an age word problem.

Step-by-step explanation: Substitute it. 7 times 3 (times Brandon's age) is 21 then add the 6 (years greater).

Step-by-step explanation:

Answer:

i. $375

ii, $2875

Step-by-step explanation:

Given

Princinpal=  $2,500

rate= 7.5%

time= 2 years

Required,

The simple interest, and the final amount

Step two:

SI= PRT/100

SI= 2500*7.5*2/100

SI=37500/100

SI=$375

The simple interest is $375

And the final amount = $2,500 +$375= $2875

Answer:

B

Step-by-step explanation:

Answer:r=2.5m+3.5

Step-by-step explanation:

Answer:

From the above calculations, it is clear that the consistent system has exactly one solution i.e. x = -1, y =2, therefore, it is independent.

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}2x-y=-4\\ 3x+y=-1\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}2x-y=-4\mathrm{\:by\:}3\:\mathrm{:}\:\quad \:6x-3y=-12[/tex]

[tex]\mathrm{Multiply\:}3x+y=-1\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:6x+2y=-2[/tex]

[tex]\begin{bmatrix}6x-3y=-12\\ 6x+2y=-2\end{bmatrix}[/tex]

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

[tex]-[/tex]

[tex]\underline{6x-3y=-12}[/tex]

[tex]5y=10[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}6x-3y=-12\\ 5y=10\end{bmatrix}[/tex]

solving 5y = 10 for y

[tex]5y=10[/tex]

Divide both sides by 5

[tex]\frac{5y}{5}=\frac{10}{5}[/tex]

simplify

[tex]y=2[/tex]

[tex]\mathrm{For\:}6x-3y=-12\mathrm{\:plug\:in\:}y=2[/tex]

[tex]6x-3\cdot \:2=-12[/tex]

[tex]6x-6=-12[/tex]

Adding 6 to both sides

[tex]6x-6+6=-12+6[/tex]

[tex]6x=-6[/tex]

Divide both sides by 6

[tex]\frac{6x}{6}=\frac{-6}{6}[/tex]

[tex]x=-1[/tex]

Therefore, the solution to the system of equations be:

[tex]x=-1,\:y=2[/tex]

From the above calculations, it is clear that the consistent system has exactly one solution i.e. x = -1, y =2, therefore, it is independent.

Answer:

###########################

Step-by-step explanation:

lkaooassss

Answer:

1

Step-by-step explanation:

You have 5 jelly beans and 4 imaginary friends

You have to split the jellybeans between yourself and your pretend friends.

Each of you gets 1 jellybean

(Except you get all the jellybeans because your friends don't exist)

Hope this helps :)

Answer:

$288

Step-by-step explanation:

12% monthly

144% yearly.

100*1.44*2 = all

all = 288

Hope this helps plz hit the crown :D

Answer:

y = 4/3x - 3

Step-by-step explanation:

y = mx + b

m is the slope and b is the y - intercept

The slope is rise/run, count how much it rises, or goes down, and how much it goes to the right. So there are points highlighted for us already, pick 2 points and count the units between them for rise it's 4, for run it's 3. So the slope is 4/3

b is the y-intercept, it's where the line goes through the y-axis, in this case it's -3

So plug the numbers in and it's y = 4/3x - 3

Answer:

D or C

Step-by-step explanation:

9514 1404 393

Answer:

  16/7

Step-by-step explanation:

If the segments are congruent, their lengths are equal:

  (1/2)x -3 = 5 -3x

  (3 1/2)x = 8

  x = 8/(3.5) = 16/7

The value of x is 16/7.

_____

Comment on the question

This value of x makes the lengths of the segments be -13/7 units. Usually, negative lengths are considered impossible for line segments.

Answer:

I'm pretty sure its the 3rd answer

Answer:C

Step-by-step explanation:

For every white square there is 3 blue squares, so you look around the white swuare and around each white square is 3 blue squares

Answer:

thousand is the correct answer :)))

Answer:

b

Step-by-step explanation:

i did the math for over an hour and got the same answer 25 times

Answer:

the range is from 105 to 234

Step-by-step explanation:

Answer:

1 4 6 8 Have a good night ✨ ☺

Answer:

Yes

Step-by-step explanation:

The absolute value, or distance of -3.17 from 0, is 3.17 units. The distance from 0 will always be postiive, because you can never be -5 units away from zero.

Answer:

2.5

Step-by-step explanation:

5 divided by 2= 2.5

Answer:

2.5

Step-by-step explanation:

Answer:31.75 centimeters

Step-by-step explanation:

it must be the first one 1/2,1,1 1/2,2 are came in order it forms a straight line

Answer:

This table represents a function. none of the independent values (X) are repeated and each has only one corresponding depedent value (Y).The next table does not represent a function.The X column has two values that are 3, and they correspond to two different values for Y.

Answer:

4.15

Step-by-step explanation:

Answer:

x=-19  x=30

Step-by-step explanation:

-5x-15=-3x+23

    -23      -23

-5x-38=-3x

+5x        +5x

-38=2x

/2       /2

-19=x

-107-7x=73-13x

-73         -73

-180-7x=-13x

      +7x   +7x

-180=-6x

30=x

Answer:

Step-by-step explanation:

-14 - 73 i

Answer:

-28i^2-73i-42

Step-by-step explanation:

(−7)(6)+(−7)(7i)+(−4x)(6)+(−4i)(7i)

= −42−49i−24i−28i^2

= -28i^2-73i-42

Answer:

[tex]^8C_0=1[/tex]

Step-by-step explanation:

In this problem, we need to find the value of [tex]^8C_0[/tex].

The formula for the combination is given by :

[tex]C(n,r)=\dfrac{n!}{r!(n-r)!}[/tex]

We have,

n = 8 and r = 0

[tex]C(8,0)=\dfrac{8!}{0!(8-0)!}\\\\=\dfrac{8!}{8!}\ (\because\ 0!=1)\\\\=1[/tex]

So, the value of [tex]^8C_0[/tex] is 1.

Answer:

A≈107902

Step-by-step explanation:

The $107,902 will be in account after 7 years if Ian invested $90,000 in an account paying an interest rate of 2.6% compounded quarterly

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

We have:

p = $90,000

r = 2.6% = 0.026

n = 4

t = 7 years

[tex]\rm A = 90,000(1+\dfrac{0.026}{4})^{4\times7}[/tex]

A = $107,901.71 ≈ $107,902

Thus, the $107,902 will be in account after 7 years if Ian invested $90,000 in an account paying an interest rate of 2.6% compounded quarterly.

Learn more about the compound interest here:

brainly.com/question/26457073

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