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love history [14]
3 years ago
10

Show your work please

Mathematics
1 answer:
natali 33 [55]3 years ago
5 0

Answer:

hi

Step-by-step explanation:

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Rita and Tina each make $11 an hour working as cashiers at a supermarket. Last week, Rita worked r hours while Tina worked t hou
Hoochie [10]

Answer: Rita and Tina's total weekly wages can be represented as  11r + 32 + 11t or 11( r + t ) + 32

Step-by-step explanation:

Since, For Rita,

Charges per hour =  $ 11

Working time = r hours,

Overtime charges for a week = $ 32,

Thus, her weekly charges = 11 r + 32

Now, For Tina,

Charges per hour  = $ 11

Working time = t hours,

Thus, her weekly charges = 11 t

Hence, the combined weekly wages of both Rita and Tina = 11 r + 32 + 11 t

= 11( r + t ) + 32

Which is the required expression.

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3 years ago
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Step-by-step explanation:

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How many half-lives of radon-222 have passed in 11.46 days? If 5.2 × 10−8 g of radon-222 remain in a sealed box after 11.46 days
Svetach [21]

Answer:

(i) Approximately 3 half lifes

(ii) 4.21\times 10^{-7}\text{ g}

Step-by-step explanation:

(i) ∵ The half life of Radon-222 is approximately 3.8 days,

So, the number of half life in 11.46 days = \frac{11.46}{3.8} ≈ 3

(ii) Since, the half life formula is,

N=N_0 (\frac{1}{2})^{\frac{t}{t_{\frac{1}{2}}}}

Where,

N_0 = initial quantity,

t = number of periods

t_{\frac{1}{2}} = half life of the quantity,

Given,

N = 5.2\times 10^{-8}\text{ g}

t = 11.46 days,

t_{\frac{1}{2}} = 3.8\text{ days}

\implies 5.2\times 10^{-8}=N_0 (\frac{1}{2})^\frac{11.46}{3.8}

\implies N_0=2^{\frac{11.46}{3.8}}\times 5.2\times 10^{-8}\approx 4.21\times 10^{-7}\text{ g}

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