Changing improper fractions to mixed
form or mixed numbers is a very simple thing. You just have to follow the following:
Then write
Let us have 25/8.
<span><span>
1.
</span><span>Divide the numerator (top
number) by the denominator (number below
the bar). </span></span>
Simply divide 25 by 8.
25 ÷ 8 = n
We can have 3 and 1 as a remainder. So, the
answer will be 3 and 1/8.
<span><span>
2.
</span> <span>Write down the whole number answer.
Since we have 3 as the whole number answer,
write it down. And;</span></span>
<span><span>
3.
</span><span> Write down any remainder above the denominator,
like this:</span></span>
3 and 1 (remainder) over 8
(denominator of the given improper fraction).
That is, 3 1/8
Dear SailorMars, since I don't have a phone I will show my work on this chat. For 2. we can do 1x1x28=28 cm³ and 2x2x7=28cm³ which will have a square base, which is 2 possible molds. For 3. we can do 10x1x36=360in³, 10x2x18=360in³, 10x3x12=360in³, 10x4x9=360in³, and 10x6x6=360in³ which will have a dimension of 10 in, which is 5 possible molds.
For 4. multiply 12x8x4=384in³ and multiply 20x15x9=to get 2700in³. With the two measurements, subtract 2700-384=2316in³ of space in the box.
For 5. multiply the equations 5x2x1, 5x2x2, 5x2x3, 5x2x4, and 5x2x5 to get the volumes in order 10ft³, 20ft³, 30ft³, 40ft³, and 50ft³.
For 6. multiply the equations 3x6, 3x7, 3x8, 3x9, 3x10, 3x11, and 3x12 to get the inches in order 18 in, 21 in, 24 in, 27 in, 30 in, 33 in, 36 in.
For 1. multiply 6x8x10 to get 480 in³; the answer is C
For 2. multiply 12x8=96 and divide 576/96 to get 6 in; the answer is A
For 3. 7:50+ :28= 8:18 PM then 8:18+2: =10:18 PM; the answer is D
For 4. it's a square pyramid because a square pyramid has squares and pyramids; the answer is D
For 5. multiply 24x12x14=4032 in³; the answer is D
For 6. multiply 2x3x6 to get 36m³; the answer is C
Answer:
Albert = $2159.07; Marie = $2244.99; Hans = $2188.35; Max = $2147.40
Marie is $10 000 richer
Step-by-step explanation:
Albert
(a) $1000 at 1.2 % compounded monthly
A = 1000(1 + 0.001)¹²⁰ = $1127.43
(b) $500 losing 2%
0.98 × 500 = $490
(c) $500 compounded continuously at 0.8%
(d) Balance
Total = 1127.43 + 490.00+ 541.64 = $2159.07
Marie
(a) 1500 at 1.4 % compounded quarterly
A = 1500(1 + 0.0035)⁴⁰ = $1724.99
(b) $500 gaining 4 %
1.04 × 500 = $520.00
(c) Balance
Total = 1724.99 + 520.00 = $2244.99
Hans
$2000 compounded continuously at 0.9 %
Max
(a) $1000 decreasing exponentially at 0.5 % annually
A = 1000(1 - 0.005)¹⁰= $951.11
(b) $1000 at 1.8 % compounded biannually
A = 1000(1 + 0.009)²⁰ = $1196.29
(c) Balance
Total = 951.11 + 1196.29 = $2147.40
Marie is $ 10 000 richer at the end of the competition.
Given that diameter of the base of the cylinder = 8 ft
Given that height of the cylinder = 6 ft
We have to find the surface area of the cylinder in terms of pi.
So we need to use formula of surface area of the cylinder which is
where h= height = 6
r= radius = diameter/2 = 8/2 = 4
Now plug these values into above formula
Hence final answer is
square ft
