All categories

3 years ago

The length and width of a rectangle are consecutive odd integers. The perimeter is 120 meters. Find the length and width

1 answer:

3 0

Step-by-step explanation: Since the width and length are consecutive odd integers, call the width <em>x</em> and the length <em>x + 2</em>.

Now, it would be helpful to draw a picture of your rectangle

and label its parts to help you set up the equation.

Since the perimeter of the rectangle is 120 meters,

<em>x + x + (x + 2) + (x + 2) = 120</em>.

Simplifying from here we get 4x + 4 = 120.

Now subtract 4 from both sides to get 4x = 116.

Now divide both sides by 4 to get x = 29.

So the width of our rectangle is 29 meters

and the length, <em>x + 2</em>, is 31 meters,

You might be interested in

It takes 4/5 of an hour to paint 2/5 of a room, how long does it take to paint one room?

BlackZzzverrR [31]

Answer:

120 min

2 hrs

Step-by-step explanation:

60 min=1 hr

60 min/5=12 min

12(4)=48 min

24 min=1/5 of room

24(5)=120 min

120 min=2 hrs

7 0

3 years ago

Help needed math 3 - 10 points read closely

inessss [21]

<h2>Hello!</h2>

The answer is:

The answer is the fourth option,

$f(-3)=-\frac{1}{3}$

Piecewise functions are functions that are composed by two or more expressions, the expression to use will depend of the domain or input that we need to evaluate.

We are given the piecewise function:

$\left \{ {{\frac{1}{x}, if x$

There, we know that:

We should use the first expression if the value to evaluate is less than -2.

So, for this case, the function will be:

$f(x)=\frac{1}{x}$

We should use the second expression if the value to evaluate is greater or equal than 2.

So, for this case, the function will be:

$f(x)=x^{2}$

Now, since we are given that the value to evaluate is -3, and its less than -2, we need to use the first expression, and evaluate it.

$-3$

So, evaluating the function we have:

$f(x)=\frac{1}{x}$

$f(-3)=\frac{1}{-3}$

$f(-3)=-\frac{1}{3}$

Hence, we have that the answer is the fourth option,

$f(-3)=-\frac{1}{3}$

Have a nice day!

7 0

3 years ago

If a = 0.6 repeating and b = 0.75, then a x b = blank and a/b = blank

atroni [7]

Answer:

a*b = 1/2

a/ b = 8/9

Step-by-step explanation:

a = 0.66666 and b = 0.75

To multiply it we write the decimal numbers in fraction form

a= 0.666666...

Multiply by 10 on both sides

10 a = 6.66666...

a = 0.66666...

Subtract the second equation

9a = 6

divide by 9 on both sides

$a=\frac{6}{9}=\frac{2}{3}$

so 0.6666 = 2/3

Now we convert 0.75 into fraction form

$0.75=\frac{0.75}{1}$

Multiply top and bottom by 100 to remove decimal

$\frac{75}{100} = \frac{3}{4}$

so 0.75 is 3/4

a= 2/3 and b = 3/4

$a*b = \frac{2}{3} * \frac{3}{4} = \frac{6}{12} = \frac{1}{2}$

$\frac{a}{b} = \frac{\frac{2}{3}}{\frac{3}{4}} = \frac{2}{3} * \frac{4}{3} =\frac{8}{9}$

8 0

3 years ago

Aline with a slope of contains the point (3.4). The point ( - 2 ) is also on the

Maru [420]

Answer:

Not Sure Without Slope

Step-by-step explanation:

you could use the formula y-y1=m(x-x1)(point slope form) where m is the slope, y1 is the first y point and x1 is the first x point.

For example if a line has slope 3 and passes through the points (5, 6), then the formula you would solve is y-6=3(x-5) to find the equation of the line in slope-intercept form and you should know what to do with everything else.

4 0

3 years ago

35=11x. i need help

V125BC [204]

Answer:

x= 35/11

Step-by-step explanation:

steps

35 = 11x

swich sides

11x = 35

Divide both sides by 11

11x/11 = 35/11

simplify

x = 35/11

5 0

3 years ago