bob is twice as old as alice at the moment in 4 years time their total age they will be 71 what is alice's age now?

Mathematics

1 answer:

Nataly_w [17]3 years ago

4 0

Answer:

Alice is 34

Step-by-step explanation:

71 - 4 = 68

68 ÷ 2 = 34

Alice is 34 :)

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If a basketball has a circumference of 58 inches, how much air can it hold?<br>

PSYCHO15rus [73]

Volume = pi*r^2
so 58^2*pi= 3364pi = approx 10,562.96 in^2

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3 years ago

Describe and correct the error in finding the tenth term of the arithmetic sequence 4, 12, 20, 28.

ycow [4]

Answer: The tenth term is 76

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Explanation:

We use this arithmetic sequence formula to get the nth term

$a_n = a_1 + d(n-1)$

Plug in $a_1 = 4, \ d = 8, \ n = 10$ and you should get the following:

$a_n = a_1 + d(n-1)\\\\a_{10} = 4 + 8(10-1)\\\\a_{10} = 4 + 8(9)\\\\a_{10} = \textbf{76}\\\\$

The tenth term is <u>76</u>

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We can verify this by listing out the terms one by one. Start at 4, add on 8 each time, until you generate the 10th term. A table like the one shown below is a good way to keep track of all the terms.

$\begin{array}{c|c}\boldsymbol{n} & \boldsymbol{a_n}\\1 & 4\\2 & 12\\3 & 20\\4 & 28\\5 & 36\\6 & 44\\7 & 52\\8 & 60\\9 & 68\\10 & \textbf{76}\\\end{array}$

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In short, the error is with the "10" in the expression 4+10(8). The student should have used 9 instead. This is because of the n-1 term in $a_n = a_1 + d(n-1)$ which shifts everything one spot to the left.

7 0

2 years ago

1248 buttons 8 contains how many buttons will go into each contain<br><img src="https://tex.z-dn.net/?f=1248%20%5Cdiv%208%20%3D%

Oksanka [162]

Answer:

156 buttons in each container

Step-by-step explanation:

$\frac{1248}{8} = 156$