A coat usually cost 123 but is marked 1/3 off

Answers

Answer 1

Answer: if it is marked 1/3 off, then u r actually paying 2/3 of it.
2/3 of 123....." of " means multiply
2/3 * 123 = 246/3 = 82....so it now costs $ 82

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A plan has scale 1:22. what is the actual length, in cm, represented by 101 cm ?

Answers

The ratio of the scale of the plan to the actual length is 1:22.

This means that every 1 cm on the plan represents 22 cm for the actual length.

Therefore, to find the actual length of 101 cm on the plan, we just have to multiply 101 * 22. This equals 2222 cm.

Therefore, the actual length is 2222 cm.

The perimeter of a square is 48 centimeters. What is its area?

Answers

the area is 144 units.

area is length × width

squares have an equal lenght and width, and 4 sides. if a square's perimeter is 48, we need to divide that by 4 to get the size of each side.

48 ÷ 4 = 12

each side is 12 units. to get the area, we need to mutliple length × width, in this case 12 × 12, which equals 144 units.

Each side would equal 12 centimeters then, and the way to find the area is by multiplying the height and width. So, the area would be 144 centimeters!
I hope this helps!! :)
P.S. When finding the area of a triangle always remember after multiplying the 2 numbers together you have to divide by 2.

A rectangular bedroom floor has an area of 100 square feet and a length of 10 feet. What is the perimeter on the floor?

Answers

I'm guessing the the length is 10?So it would be a square, 4 sides of equal lengthSo 10 x 4 = 40It would be 40 feet

What is the range and domain of the parent function f(x) = |x|

Answers

Answer:the domain of the parent function f(x) = |x| is all real numbers, and the range is all non-negative real numbers.

Step-by-step explanation:

(This answer was AI generated)

F (x)= 5x-14 G (x)= 12x+8 H (x)= 62x-54 Dadas las funciones resolver las siguientes operaciones a. F (x)+ G (x) b. G (x)- (H (x)-F (x)) c. (G (x)-F (x)) (H (x)+G (x) d. (F (x)-H (x))/ (G (x)+ F(x) e. G (x) / H (x9

Answers

Answer:

a) $17\cdot x -6$ , b) $-45\cdot x +48$ , c) $518\cdot x^(2) +1306\cdot x -1012$ , d) $(-57\cdot x +40)/(17\cdot x -6)$ , e) $2\cdot \left((3\cdot x + 2)/(31\cdot x - 27) \right)$

Step-by-step explanation:

Sean $f(x) = 5\cdot x -14$ , $g(x) = 12\cdot x + 8$ y $h(x) = 62\cdot x - 54$ . A continuación, desarrollamos las siguientes operaciones:

a) $f(x) + g(x)$

$(5\cdot x - 14) + (12\cdot x + 8)$

$17\cdot x -6$

b) $g(x) - [h(x)-f(x)]$

$(12\cdot x + 8) - [(62\cdot x - 54)-(5\cdot x - 14)]$

$12\cdot x + 8 - (57\cdot x -40)$

$12\cdot x +8 -57\cdot x +40$

$-45\cdot x +48$

c) $[g(x)-f(x)]\cdot [h(x)+g(x)]$

$[(12\cdot x + 8)-(5\cdot x -14)]\cdot [(62\cdot x -54)+(12\cdot x +8)]$

$(12\cdot x +8 -5\cdot x +14) \cdot (62\cdot x -54+12\cdot x+8)$

$(7\cdot x +22)\cdot (74\cdot x-46)$

$7\cdot x \cdot (74\cdot x - 46)+22\cdot (74\cdot x -46)$

$(7\cdot x)\cdot (74\cdot x) - 46\cdot (7\cdot x )+22\cdot (74\cdot x)-22\cdot (46)$

$518\cdot x^(2)-322\cdot x +1628\cdot x -1012$

$518\cdot x^(2) +1306\cdot x -1012$

d) $(f(x)-h(x))/(g(x) + f(x) )$

$((5\cdot x - 14)-(62\cdot x - 54))/((12\cdot x +8)+(5\cdot x -14))$

$(-57\cdot x +40)/(17\cdot x -6)$

e) $(g(x))/(h(x))$

$(12\cdot x + 8)/(62\cdot x - 54)$

$(4\cdot (3\cdot x +2))/(2\cdot (31\cdot x -27))$

$2\cdot \left((3\cdot x + 2)/(31\cdot x - 27) \right)$

A Web music store offers two versions of a popular song. The size of the standard version is 2.7 megabytes (MB). The size of the high-quality version is 4.1 MB. Yesterday, there were 1490 downloads of the song, for a total download size of 5227 MB. How many downloads of the high-quality version were there?

Answers

the two equations are:2.7s + 4.1h = 5227ands + h = 1490substitute:2.7(-1h + 1490) + 4.1h = 5227distribute:-2.7h + 4023 + 4.1h= 5227add like terms:1.4h + 4023 = 5227subtract 4023:1.4h = 1204divide:h = 860this means that there are 860 downloads of the high-quality version

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