Answer:
Carlotta needs 24 orange beads for her necklace.
Step-by-step explanation:
For each necklace, the ratio of blue beads to orange beads is 3 to 2. or 3:2
Total beads given to make a necklace is = 60
Let the number of orange beads be = x
The ratio is 2 orange beads out of 5 total beads
So, we can represent the ratio as:
x=24
Hence, Carlotta needs 24 orange beads for her necklace.
Blue beads needed =
We can also check the ratio for blue beads to orange beads:
Divide by 4, we get
Divide by 3, we get
...... (the given ratio)
Therefore, Carlotta needs 24 orange beads for her necklace.
did the duck fly in all?
A. 69 miles
B. 75 miles
C. 81 miles
D. 84 miles
The space contained by Styrofoam peanuts is 744 cubic inches.
In three-dimensional space, a prism is a polyhedron where two ends are similar.
Given:
A glass box shaped like a rectangular prism has a width of 7 inches, length 9 inches, and height 12 inches.
It's being shipped in a larger box with width 10 inches, length 10 inches, and height 15 inches.
The space between the glass box and the shipping box will be filled with styrofoam peanuts.
The space contained by Styrofoam peanuts,
= The volume of the shipping box - the volume of the glass box.
=(10 x 10 x 15) - 7 x 9 x 12
= 744 cubic inches.
Therefore, the contained space is 744 cubic inches.
To learn more about the prism;
#SPJ6
sqrt(-49) / [ (7-2i) - (4+9i) ]
= 7i / (3 - 11i)
= 7i (3+11i) / [ (3 - 11i) (3 + 11i) ]
= (21 i - 77) / (9 + 121) = choice (d), (-77 + 21i) / 130