Answer:
546
Step-by-step explanation:
3 1/2 times 3 equals 10 1/2. 10 1/2 times 52 equals 546.
Answer:
the 5 seated table with the 2 pizzas got more each.
Step-by-step explanation:
pieces each
pieces each
pieces each
Now change the fractions s that they all have a common denominator.
![2\frac{1}{2} = 2\frac{15}{30}](https://tex.z-dn.net/?f=2%5Cfrac%7B1%7D%7B2%7D%20%3D%202%5Cfrac%7B15%7D%7B30%7D)
![2\frac{1}{3} = 2\frac{10}{30}](https://tex.z-dn.net/?f=2%5Cfrac%7B1%7D%7B3%7D%20%3D%202%5Cfrac%7B10%7D%7B30%7D)
![2\frac{2}{5} = 2\frac{15}{30}](https://tex.z-dn.net/?f=2%5Cfrac%7B2%7D%7B5%7D%20%3D%202%5Cfrac%7B15%7D%7B30%7D)
Thus meaning that the 5 seated table with the 2 pizzas got more each.
The first and second numbers have only one option, the third has 2, and the final four have 10 so:
1*1*2*10*10*10*10
1*2*10^4
2*10^4
20000
Answer:
Option 1 and 3 are correct.
Step-by-step explanation:
The corresponding angles are the matching angles when two lines are crossed by another line which is called traversal.
Looking in the figure following are corresponding angles
8 and 6
4 and 2
7 and 5
3 and 1
Now, looking at the options
Option 1 5 and 7
and Option 3 6 and 8 are only given corresponding angles.
So Option 1 and 3 are correct.
Answer:
10 + 7 + 4 + . . .; n = 5
The series is arithmetic
Common difference between terms = (-3)
10 - 3 = 7
7 - 3 = 4
Or:
10 + (-3) = 7
7 + (-3) = 4
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<u>Another example</u>:
Arithmetic:
5, 9, 13, 17
common difference = 4
5 + 4 = 9
9 + 4 = 13
Geometric:
4, 8, 16, 32
4 × 2 = 8
8 × 2 = 16
16 × 2 = 32
common ratio = 2
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10 + 7 + 4 + . . .; n = 5
a₁ = 10
a₂ = 7
a₄ = a₃ + d = 4 + (-3) = 4 - 3 = 1 (d = common difference)
a₅ = a₄ - 3 = 1 - 3 = -2
Or with formula:
![d=a_{n} -a_{n-1}](https://tex.z-dn.net/?f=d%3Da_%7Bn%7D%20-a_%7Bn-1%7D)
d = a₂ - a₁ = 7 - 10 = -3
aₙ = a₁ + (n - 1)d
fourth term = a₄ = 10 + (4 - 1)(-3) = 10 + 3(-3) = 10 + (-9) = 10 - 9 = 1
fifth term = a₅ = 10 + (5 - 1)(-3) = 10 + 4(-3) = 10 + (-12) = 10 - 12 = -2
Sum of the finite series (if n = 5):
![S_{n} =\frac{n(a_{1} +a_{n} )}{2} \\S_{5} =\frac{5(a_{1} +a_{5} )}{2} \\S_{5} =\frac{5(10 +(-2) )}{2} \\S_{5} =\frac{5(8 )}{2} =\frac{40}{2} =20](https://tex.z-dn.net/?f=S_%7Bn%7D%20%3D%5Cfrac%7Bn%28a_%7B1%7D%20%2Ba_%7Bn%7D%20%29%7D%7B2%7D%20%5C%5CS_%7B5%7D%20%3D%5Cfrac%7B5%28a_%7B1%7D%20%2Ba_%7B5%7D%20%29%7D%7B2%7D%20%5C%5CS_%7B5%7D%20%3D%5Cfrac%7B5%2810%20%2B%28-2%29%20%29%7D%7B2%7D%20%5C%5CS_%7B5%7D%20%3D%5Cfrac%7B5%288%20%29%7D%7B2%7D%20%3D%5Cfrac%7B40%7D%7B2%7D%20%3D20)
Manual count: S₅ = 10 + 7 + 4 + 1 + (-2) = 20