Answer:
The number of bottles recycle by Alice is 21.
Step-by-step explanation:
Given:
Mike and Alice recycled 147 bottles altogether. Mike recycled 6 times as many bottles as Alice.
Now, to find the quantity of bottles Alice recycle.
Let the number of bottles recycle by Alice =
.
And the number of bottles recycled by Mike =
.
So, according to question:

⇒
<em>Dividing both sides by 7 we get:</em>
⇒
.
Therefore, the number of bottles recycle by Alice is 21.
I think that i got it but at the same time not sure but the value of a+b should be 14+20
Answer:
Natalie have left with 5 beads.
Step-by-step explanation:
Given:
Natalie had 64 beads. She used 24 beads to make a bracelet. She used 7/8 of the remaining beads to make a necklace.
Now, to find the beads does Natalie have left.
<em>Total beads Natalie had = 64 beads.</em>
<em>And beads she used to make a bracelet = 24 beads</em>.
So, the remaining beads are = 
Now,<em> the beads she used to make a necklace</em> = 
= 
= 
=
Hence, the beads Natalie have left = remaining beads - beads used to make necklace.


Therefore, Natalie have left with 5 beads.
Answer:
A. Cylinder + cone
<u>Volume is the sum of volumes:</u>
- V = Vcon + Vcyl = 1/3πr²h₁ + πr²h₂
- V = 1/3π*9²*12 + π*9²*120 = 31554.2 cm³
<u>Surface area of cone:</u>
- A = A=πr(r+√(h₁²+r²)) = π*9(9 + √(9²+12²)) = 678.6 cm²
<u>Surface area of cylinder minus bases:</u>
- A = 2πrh₂ = 2π*9*120 = 6785.8 cm²
<u>Total surface area:</u>
- 678.6 + 6785.8 = 7464.4 cm²
-------------------------------------------------
B. Cube+ pyramid
<u>Volume:</u>
- V = a³ + (1/3)a²h = a³ + (1/3)a²√(l²-(a/2)²)
- V = 8³ + (1/3)8²√(10²-4²) = 707.5 cm³
<u>Surface area of pyramid:</u>
- A = a² + 2al = 8² + 2*8*10 = 224 cm²
<u>Surface area of cube minus bases:</u>
- A = 4a² = 4(8²) = 256 cm²
<u>Total surface area:</u>