Greg and Marti are racing remote control cars. The race starts at t=0 and the car’s distance is measured from the start line. Both cars have a constant rate of change. Information about each of the cars during the race is shown below.

The race was over after 10 seconds. The winner of the race is defined by the person who is farthest from the start line. Whose car should be crowned the winner? Use mathematics to justify your answer.

Given parameters:

Mark up percentage  = 150%

Original cost = $488

Sales tax = 5%

Unknown:

His total cost  = ?

Solution:

Marking up a good is the amount a sell adds to a product which makes its selling price usually for a profit.

 Since the emerald was marked up by 150%;

   New cost  = (1 + 1.5) x $488 = $1220

Now, the additional tax was 5%;

   Tax = [tex]\frac{5}{100}[/tex] x 1220 = $61

So, the total cost = New cost + tax  = $1220 + $61 = $1281

Answer: 86.63

Step-by-step explanation:

Answer:

-3(-9)-20=7

Step-by-step explanation:

Answer:

y = -4x - 6

Step-by-step explanation:

12x + 3y = -18

Solve for y.

3y = -12x - 18

y = -12/3 x - 18/3

y = -4x - 6

Answer:

A) 3w(w-7)

Step-by-step explanation:

[tex]\frac{w-5}{w-7} and \frac{w+8}{3w}[/tex]

w-7 is a binomial, and 3w is a monomial. Because you cannot put one denominator into the other or multiply both denominators by a number when you have this type of difference where multiplying by a number won't get you the same result, you must multiply them each other.

Therefore:

3w(w-7) would be your LCD.

Answer:

Step-by-step explanation:

Fractions

We observe that the fractions can't be simplified any more and they are in the simplest form

Next, the denominators w - 7 and 3w don't have common factors

Therefore the common denominator is the product of denominators:

Correct option is A

[tex]4 - 2(x - 3) = 24 \\ [/tex]

[tex]⇒4 - 2x + 6 = 24 [/tex]

[tex]⇒ - 2x = 24 - 6 - 4[/tex]

[tex]⇒ - 2x = 14[/tex]

[tex]⇒x = \frac{14}{ - 2} [/tex]

[tex]⇒x = - 7[/tex]

Hence, Answer is -7.

Answer:

- 7

Step-by-step explanation:

Step 1:

4 - 2 ( x - 3 ) = 24      Equation

Step 2:

4 - 2x + 6 = 24           Multiply

Step 3:

- 2x + 10 = 24       Combine Like Terms

Step 4:

- 2x = 14           Subtract 10 on both sides

Step 5:

x = 14 ÷ - 2       Divide

Answer:

x = - 7

Hope This Helps :)

Answer:

It means (x+2) is a factor and x = -2 is a root.

Step-by-step explanation:

I know this bc i took the test and got it right

Answer:

y=4

Step-by-step explanation:

Answer:

its y=4 credit goes to the chap above

Step-by-step explanation:

Answer:

21 units

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

the first one is 48 pounds the second one is 53.333 and the final one is 30.8

Step-by-step explanation:

Answer:

2.4  X  12=28.8 thats the first one

Step-by-step explanation:

Answer:

No Solution

Step-by-step explanation:

Use the distributive property, to take out the contents from the parentheses

-6 * 5x = -30x

-6 * -9 = 54

-30x + 54

27x -30x + 54

Combine the terms that have the same variable

27x + -30x = -3x

-3x + 54

-3x - 9 = -3x + 54

Combine terms that have the same variable

-3x + 3x = 0

-9 = 54

-9 does not equal 54, therefore there is no solution

Answer:

it will be 40

Step-by-step explanation:

Answer:

[tex]\angle 1=39\textdegree[/tex]

Step-by-step explanation:

Remember that the sum of the interior angles of a triangle always equal 180. Therefore:

[tex]\angle 1+\angle Y+102=180[/tex]

Let's subtract 102 from both sides. This yields:

[tex]\angle 1+\angle Y=78[/tex]

Now, notice the that both ∠1 and ∠Y have exactly one arc mark.

Arc-marks denote congruence. Therefore, ∠1 and ∠Y are congruent to each other. In other words:

[tex]\angle 1=\angle Y[/tex]

So, we can substitute ∠Y for ∠1 for our equation. This yields:

[tex]\angle 1+\angle 1=78[/tex]

Combine like terms:

[tex]2\angle 1=78[/tex]

Divide both sides by 2. So, the measure of our angle is:

[tex]\angle 1=39\textdegree[/tex]

And we're done!

Answer:

$37,650

Step-by-step explanation:

A=15000(1+0.0525)^18

A=15000(2.51)

A=37650

Point :

[tex] |x| > a[/tex]

[tex]x > a \: \: \: and \: \: \: x < - a[/tex]

_________________________________

Thus ;

[tex]P > 3 \: \: \: \: \: and \: \: \: \: \: P < - 3[/tex]

Done.....♥️♥️♥️♥️♥️

Answer: B

Step-by-step explanation:

Two- fifths

Answer:

The answer is 2/5 (B)

Step-by-step explanation:

1/3 divided by 5/6

To solve, we need to multiply the reciprocal of the divisor (5/6 in this case)

The reciprocal of 5/6 is 6/5

1/3*6/5 = 6/15 which can be reduced to 2/5

The answer is 2/5 (B)

Hope this helps!

Answer:

its 6 i thinknidk

Step-by-step explanation:

ueueueyryurgrhr

1kg = 2.2lb

1lb = 0.454kg

132lb = 0.454*132

132lb = approx 60kg

[tex]a(c - b) = d[/tex]

Divided sides by a

[tex] \frac{a}{a}(c - b) = \frac{d}{a} \\ [/tex]

[tex]c - b = \frac{d}{a} \\ [/tex]

Plus sides b

[tex]c - b + b = \frac{d}{a} + b \\ [/tex]

[tex]c = \frac{d}{a} + b \\ [/tex]

Done.....♥️♥️♥️♥️♥️

Answer:

[tex]c = \frac{ab + d}{a}[/tex]

Step-by-step explanation:

Step 1: Add ab to both sides.

−ab + ac + ab = d + ab

ac = ab + d

Step 2: Divide both sides by a.

[tex]\frac{ac}{a} =\frac{ab + d}{a}[/tex]

[tex]c = \frac{ab + d}{a}[/tex]

Hope it helps!!

Answer:

93.75 hours

Step-by-step explanation:

5500-4000=1500

1500/16=93.75

Answer:

D

Step-by-step explanation:

180 is a flat line therefore straight!!!

Answer:

7 degrees

Step-by-step explanation:

The temperature in Monday was 14 degrees

On tuesday the temperature decreased by 5 degrees

On Wednesday it decreased by 10 degrees

On thursday the temperature increased by 8 degrees

Therefore the temperature at the end of the day on Thursday can be calculated as follows

= 14 - 5 - 10 + 8

= 7

Hence the temperature at the end of the day on Thursday is 7 degrees

Answer:

Step-by-step explanation:

<a = 85° ( Vertically Opposite Angles )

<b = 180 - 85 = 95° ( Adjacent Angles )

Hope this helps

Plz mark as brainliest!!!!!!!!

Answer:

<a=85

<b=95

Step-by-step explanation:

<a is going to be the same as the other angle is across from it. So <a equals 85 degrees. So now since we know that two parts are 85 degrees we add 85 + 85 and we get 170 degrees. Since the whole thing is 360 degrees we need to subtract the 170 degrees that we already have. So 360-170 is equal to 190 degrees. Now since <b is the same as the angle across from it is we just need to divide the remaining degrees in half. So we take the 190 degrees and divide that in half. When you divide that in half you get 95 degrees. So <b is 95 degrees.

Answer:=1/16

Step-by-step explanation:

4^-2=[tex]\frac{1}{4^2}[/tex]

4^2=16 so [tex]\frac{1}{16}[/tex]