A ship goes at the rate of (3m-2) knots per hour. How far can it travel in (4m+9) hours?

Mathematics

1 answer:

Ber [7]2 years ago

7 0

Answer: $12m^2+19m-18$

Step-by-step explanation:

Given

Speed of boat $v=3m-2\ \text{knots per hour}$

$\text{time t= }4m+9\ \text{hours}$

$\Rightarrow \text{Distance =speed}\times \text{time}$

$\Rightarrow \text{Distance d=}(3m-2)\cdot (4m+9)\\\Rightarrow d=12m^2+19m-18$

You might be interested in

Solve for the variable in 6/18=x/36

liberstina [14]

6/18=x/36

18x=216

x=12

6 0

2 years ago

Whats the answer for (5x + 8)(4x² + 6x - 8)

mestny [16]

$(5x + 8)(4x^2 + 6x - 8)\\ \\ 5x(4x^2 + 6x - 8) + 8(4x^2 + 6x - 8) \\ \\ 20x^3 + 30x^2 - 40x + 8(4x^2 + 6x - 8) \\ \\ 20x^3 + 30x^2 - 40x + 32x^2 + 48x - 64 \\ \\ 20x^3 + (30x^2 + 32x^2) + (-40x + 48x) - 64 \\ \\ 20x^3 + 62x^2 + 8x - 64 \\ \\$

The final result is: 20x^3 + 62x^2 + 8x - 64.

4 0

3 years ago

If Joseph buys a T.V. At 35% off and it’s original costs $599.99 how much did he pay for the tv?

Monica [59]

Answer: He paid $\$389.9935$ for the T.V.

Step-by-step explanation:

We need to analize the information provided:

- The original cost of the T.V. was $599.99

- Joseph buys it at 35% off the original cost.

Let be "x" the amount Joseph paid for the T.V.

We can calculate "x" with the following expression:

$x=\$599.99-(\$599.99)(0.35)\\\\x=\$389.9935$

Therefore, he paid $\$389.9935$ for the T.V.

7 0

2 years ago

If A(1,2), B(5,-4) and (-3,2) are the vertices of a triangle, which statement holds true?

Zigmanuir [339]

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The correct option is A.

<h3>What is a triangle?</h3>

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

The length of different sides are:

$AB = \sqrt{(5-1)^2+(-4-2)^2} = \sqrt{16+36} = \sqrt{52}\rm\ units$