All categories

3 years ago

The perimeter of the rectangle is 146 units. What is the length of the longer side?

Mathematics

2 answers:

NeTakaya3 years ago

7 0

we know that

the perimeter of the rectangle is equal to

$P=2W+2L$

where

P is the perimeter of the rectangle

W is the width of the rectangle

L s the length of the rectangle

In this problem

$P=146\ units \\ W=2x\\ L=3x+3$

Substitute the values in the formula above

$P=2W+2L\\ 146=2*(2x)+2*(3x+3)\\ 73=2x+3x+3\\ 5x=70\\ x=14\ units$

$W=2x=2*14=28\ units\\ L=3x+3=3*14+3=45\ units$

therefore

the answer is

the length of the longer side of the rectangle is equal to $45\ units$

dolphi86 [110]3 years ago

3 0

2x+2x+3x+3+3x+3=146
10x+6=146
10x=140
x=14
45 units is the longest side

You might be interested in

At the city museum, child admission is $5.30 and adult admission is $9.20 . On Monday, 166 tickets were sold for a total sales o

Sonbull [250]

C+a=166
a=166-c
5.3c+9.2a=1254.2
5.3c+9.2(166-c)=1254.2
5.3c+1527.2-9.2c=1254.2
5.3c-9.2c=1254.2-1527.2
-3.9c=-273
c=-273/-3.9
c=70
Hope this helps!

3 0

3 years ago

the density of a certain material is such that weighs 6900 grams for every 4.5 quarts of volume express this density in pounds p

dlinn [17]

Answer:

$d=101.4\ \text{pounds}/\text{feet}^3$

Step-by-step explanation:

Given that,

Mass of material, m = 6900 grams

Volume of the material, V = 4.5 quarts

We need to find the density in pounds per cubic foot

We know that,

1 pound = 453.59 grams

⇒ 6900 grams = 15.21 pounds

Also, 1 cubic foot = 29.92 quarts

4.5 quart = 0.15 feet³

Density = mass/volume

$d=\dfrac{15.21\ \text{pounds}}{0.15\ \text{feet}^3}\\\\d=101.4\ \text{pounds}/\text{feet}^3$

Hence, the density of the material is $101.4\ \text{pounds}/\text{feet}^3$

3 0

3 years ago

Which is the graph of<br><img src="https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%5B3%5D%7Bx%20%2B%201%7D%20-%202" id="TexFormula1" t

Anna11 [10]

ANSWER

See attachment.

EXPLANATION

The given function is

$y = \sqrt[3]{x + 1} - 2$

The parent function is

$y = \sqrt[3]{x}$

When we shift the parent graph to the left one unit, and down 2 units, we obtain the graph of the given function.

The graph of this function is shown in the attachment.

5 0

3 years ago

In a paint mixture the following tints are added,200ml of green tint,350ml of blue and 450ml of red tint.Calculate the percentag

dimaraw [331]

Answer:blue = red

Step-by-step explanation:

Is purple 3+1 is 4

8 0

3 years ago

in a box of white and black marbles, there are 4 more white marbles than double the number of black marbles. there are a total o

Art [367]

I'm not sure but:

white 150
black 142

3 0

3 years ago