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3 years ago

the perimeter of a rectangle is 18 inches what are the possible lengths and widths if the side lengths are whole numbers

1 answer:

8 0

The perimeter is (2 lengths) + (2 widths). Since the perimeter is 18 inches, (1 length) + (1 width) must add up to 9 inches.

If the length and the width must both be whole numbers, the only possible choices for the side lengths of this rectangle are:

1 x 8 in

2 x 7 in

3 x 6 in

4 x 5 in .

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

Ber [7]

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

Step-by-step explanation:

Given

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

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

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

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

7 0

2 years ago

3x+15-7x=-7 solve for x

xenn [34]

3x+15−7x=−7

Simplify:

3x+15−7x=−7

3x+15+−7x=−7

(3x+−7x)+(15)=−7(Combine Like Terms)

−4x+15=−7

Subtract 15 from both sides.

−4x+15−15=−7−15

−4x=−22

Divide both sides by -4.

−4x/−4=−22/−4

x=11/2

5 0

3 years ago

Read 2 more answers

Of 100 students,65 are members of a mathematics club and 40 are members of a physics club. if 10 are members of neither club the

alexandr1967 [171]

a. 15 students are members of both clubs

b. 50 students only are members of the mathematics club

c. 25 students only are members of the physics club

Step-by-step explanation:

The given is:

There are 100 students
65 are members of a mathematics club
40 are members of a physics club
10 are members of neither club

We need to find how many students are members of

a. both clubs?

b. only mathematics club

c. only physics club

∵ The total number of students = 100

∵ 10 are members of neither club

- Subtract 10 from 100 to find the members of the mathematics

club or the physics club

∵ 100 - 10 = 90

∴ There are 90 members of the mathematics club or physics club

∴ n(mathematics or physics) = 90

∵ 65 students are members of a mathematics club

∵ n(mathematics) = 65

∵ 40 students are members of a physics club

∴ n(physics) = 40

∵ n(mathematics or physics) = n(mathematics) + n(physics) - n(both)

∴ 90 = 65 + 40 - n(both)

∴ 90 = 105 - n(both)

- Add n(both) to each side

∴ n(both) + 90 = 105

- Subtract 90 from each side

∴ n(both) = 15

∴ 15 students are members of both clubs

a. 15 students are members of both clubs

∵ 65 students are members of the mathematics club

∵ 15 of them are members of the physics club

∴ n(mathematics only) = 65 - 15 = 50

∴ 50 students only are members of the mathematics club

b. 50 students only are members of the mathematics club

∵ 40 students are members of the physics club

∵ 15 of them are members of the mathematics club

∴ n(physics only) = 40 - 15 = 25

∴ 25 students only are members of the physics club

c. 25 students only are members of the physics club

Learn more:

You can learn more about word problems in brainly.com/question/8907574

#LearnwithBrainly

5 0

2 years ago

Describe how an ordered pair represents a point on a coordinate plane. Include the terms x-coordinate, y-coordinate, and origin

Blababa [14]

When we look at an ordered pair, it will be presented as (x,y)

The first term, x (called the x-coordinate), will tell us how far we should count outwards from 0 (The Origin). The second term, y (called the y-coordinate), will tell us how far we will count outwards from our x coordinate.

I hope this helps! If you would like me to elaborate more just let me know:)

4 0

3 years ago

What is the answer decimal division

Bezzdna [24]

Answer: 2.7

Step-by-Step Explanation:

7 0

2 years ago