Yossi to have a square garage with 320 ft.² of floorspace he recently build an additional two it the garage is still a square but now has 50% more floor space what is the length of one side of the garage originally what is the length of one side of the garage now what is the percent increase is the length of one side

17.889 ; 21.909 ; 22.47%

Step-by-step explanation:

Given that:

Initial area of square garage = 320ft²

Since the garage is a square, the sides are all equal;

Area of square = s² ; where s = side length

320 = s²

√320 = √s²

17.889 = s

Original length of 1 side of the garage = 17.889 ft

With a 50% increase ;

New area = (100 + 50)% * initial area

New area = 150% * 320

New area = 480ft²

Length of one side of New garage :

480 = s²

√480 = √s²

21.909 = s

% increase in length ;

((New length - old length) / old length) * 100%

((21.909 - 17.889) / 17.889) * 100%

(4.02/17.889) * 100%

= 22.47%

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: