A clown bought 6 bags of round balloons with 24 balloons in each bag. .Part 2 The clown also bought 3 bags of heart-shaped balloons with 14 balloons in each bag. When the clown blew up all of the round, long, and heart-shaped balloons, 23 balloons burst.
How many blown-up balloons were left? Explain your answer.
First, I found the number of heart-shaped balloons, 3 × ___ =. Next, I added that number to the number of round balloons and long balloons, + 144 + 108 =balloons in all. Last, I subtracted the number of burst balloons, so− 23 =299 balloons left.

247 blown up balloon left

Step-by-step explanation:

5 bags of round balloon with 24 balloon in each bag =

                                 = 5 x 24 = 120 round balloons

3 bags of long balloon with 36 balloon in each bag =

                                  = 3 x 36 = 108 long balloons

Part 1 Answer

120 round balloons -  108 long balloon = 12 balloons

therefore the clown bought 12 more round balloon than long balloon

Part 2

3 bags of heart-shaped balloons with 14 balloons in each bag =

                                   = 3 x 14= 42 heart-shaped balloons

All the balloons were blown which equals

120 round balloons + 108 long balloons + 42 heart-shaped balloons =

                                     = 270 balloons

23 balloons out of the 270 balloons burst which equals

270 blown balloon - 23 burst balloon = 247 blown-up balloons left

so,

247 blown-up balloons were left

50- 250 is correct i did that one too

step-by-step explanation:

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240