1. al save pennies, he agree to give 3 over 8 of his pennies to bev if she would give 3 over 8 of what she got from al to carl and if carl in turn would give 3 over 8 of what he got from bev to dani. bev, carl and dani agreed and dani recieved 162 pennies. how many pennies did al have initially
2. a clark sold three peices of one type of ribbon to different customes one was 5 8 over 27 yards long, another was 5 seven over eight yards long and the third was 19 one over nine the total length of that type of ribbon sold . simplify your answer
3.write a fraction to represent the shaded part of the figure their are 8 triangles 7 are shaded red and 1 is not . the fraction represents the shaded part

1) 3072pennies 2) 54.11yards 3) 7/8

Step-by-step explanation:

1) let

x represent the pennies Al saved

y = amount Bev got from Al

z = amount Carl got from Bev

We can say,

3/8 of x = amount given to Bev by Al

3/8 of y= amount given to Carl by Bev

3/8 of z= amount given to Dani by Carl

If Dani got 162pennies, 3/8 of z = 162

We get 432 after solving, which means 432pennies is the amount given to Carl by Bev

If Carl got 432pennies, 3/8 of y = 432

We get 1152 after solving, which means 1152pennies is the amount given to Bev by Al

If Bev got 1152pennies, 3/8 of x = 1152

We get 3072 after solving, which means 3072pennies is the amount Al saved initially

2) one of the ribbon was 5' 8 over 27yards

One was 5' 7 over 8yards long

The last was 19' 1 over 9yards long

We first convert inches to foot

I feet = 12 inches

Using this principle and adding the result to the feet, we get 5.67feet for the first ribbon, 5.58feet for the second ribbon, and 19.08feet for the last ribbon

Next, we convert the feet measurements to yard

1 foot = 1/3yard

Multiplying each of the feet measurement by 1/3, we get 1.89yard, 1.86yard, and 6.36yard respectively.

Now the question says over yard long, which means we add

We add, 1.89 + 27 = 28.89

8 + 1.86 = 9.86

9 + 6.36 = 15.36

We then calculate the total length by finding the sum of the three lengths, 28.89+9.89+15.36= 54.11

Therefore, the total length in yards is 54.11yards

3) There are 8 triangles

7 were shaded, 1 was not

The fraction of the shaded part is therefore, the number of shaded part/ total number of triangles

7/8

step-by-step explanation:

let pq = qr = rs = x, and xz = y and zu = z.

if the horizontal lines are parallel, then corresponding segments are in proportion:

substitute:

therefore 3 = y = z.

xu = y + z → xu = 3 + 3 = 6