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3 years ago

An item is regularly priced at

Mathematics

1 answer:

leva [86]3 years ago

8 0

It would be 60% of the original price, of discount amount in 40%

Then, 40*60 / 100 = 2400/100 = 24

So, he bought the item @ $24

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A boat is pulled toward a dock by means of a rope wound on a drum that is located 6 ft above the bow of the boat. If the rope is

Monica [59]

Answer:

Step-by-step explanation:

Given that:

The height of the dock (h) = 6

Let represent d to be the distance between the boat and the dock

Let the length of the rope between the boat and the drum be denoted by (l)

Then, the rate of change for the length of the rope be:

dl/dt = -5 ft/s

Using Pythagoras rule to determine the relationship between these values, we have:

$l^2 = h^2 +d^2$

$l^2 = 6^2 + d^2$

$l^2 = 36 + d^2$

We relate to: $2l * \dfrac{dl}{dt} = 2d* \dfrac{dd}{dt}$

From the question;

l = 34,

So to find $\dfrac{dd}{dt}$ , we get;

$d = \sqrt{l^2 - 36}$

$d = \sqrt{34^2 - 36}$

$d = \sqrt{1156- 36}$

$d = \sqrt{1120}$

d = 33.46

So, we have:

$\dfrac{dd}{dt}= \dfrac{l}{d} \times \dfrac{dl}{dt}$

$\dfrac{dd}{dt}= \dfrac{34}{33.46} \times - 5$

$\dfrac{dd}{dt}= 1.016 \times - 5$

$\dfrac{dd}{dt}=-5.08 \ ft/sec$

4 0

2 years ago

Solve for X -3 (2x + 6) = 12 pls help im ready to got bed lol

kramer

Answer:

x=-5 Hope this helped! Goodnight!

Step-by-step explanation:

Let's solve your equation step-by-step.

−3(2x+6)=12

Step 1: Simplify both sides of the equation.

−3(2x+6)=12

(−3)(2x)+(−3)(6)=12(Distribute)

−6x+−18=12

−6x−18=12

Step 2: Add 18 to both sides.

−6x−18+18=12+18

−6x=30

Step 3: Divide both sides by -6.

−6x /−6 = 30 /−6

x=-5

6 0

3 years ago

Read 2 more answers

Click here !!! help me solve this problem !!!!

sergeinik [125]

Y=x^3+4 because if you mulitiply x 3 times and then add it by 4 then you should get y

7 0

3 years ago

Read 2 more answers

If the number of roaches triples every day, and there are 10 to start with, write an equation to represent this situation. How m

victus00 [196]

Answer:

430,467,210

Step-by-step explanation:

ur answer maybe idk

8 0

3 years ago

Evaluate x^-2 for x = -3.

Hitman42 [59]

Hey there!

If x = -3 then replace "x" with -3

New equation: -3^-2

(-1 × 3)^-2

(-1 / 3 )× 3

3 × 3 = 3^3 = 9 (Solving for your denominator)

(-1/3)^2

= (1/9)

This your answer is: 1/9

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

3 0

3 years ago