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2 years ago

A chef needs to decorate cupcakes for a birthday party. If the chef places

Mathematics

1 answer:

dimaraw [331]2 years ago

6 0

The possible number of cupcakes is less than or equal to 23

<h3>How to write inequality equation?</h3>

let

k = possible number of cupcakes

Number of strawberry slices = 46

Number if strawberry slices on each cupcake = 2

The inequality:

2k ≤ 46

divide both sides by 2

k ≤ 46 / 2

k ≤ 23

Therefore, the possible number of cupcakes is less than or equal to 23

Learn more about inequality:

brainly.com/question/25275758

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Solve 4/5x - 3 3/4x =2 1/2

faust18 [17]

First one subtract 4/5 and 3 3/4 then divide both sides by the number you get from subtracting.

4 0

3 years ago

A fossil was analyzed and determined to have a carbon-14 level that is 80 % that of living organisms. the half-life of c-14 is 5

liq [111]

Answer:

The fossil is 1860 years old.

Step-by-step explanation:

The equation for the amount of fossil has the following format:

$Q(t) = Q(0)e^{rt}$

In which Q(t) is the amount after t years, Q(0) is the initial amount and r is the rate of change.

Half-life of c-14 is 5730 years.

This means that $Q(5730) = 0.5Q(0)$

$Q(t) = Q(0)e^{rt}$

$0.5Q(0) = Q(0)e^{5730r}$

$e^{5730r} = 0.5$

$\ln{e^{5730r}} = \ln{0.5}$

$5730r = \ln{0.5}$

$r = \frac{\ln{0.5}}{5730}$

$r = -0.00012$

$Q(t) = Q(0)e^{-0.00012t}$

How old is the fossil?

This is t for which

$Q(t) = 0.8Q(0)$

$Q(t) = Q(0)e^{-0.00012t}$

$0.8Q(0) = Q(0)e^{-0.00012t}$

$e^{-0.00012t} = 0.8$

$\ln{e^{-0.00012t}} = \ln{0.8}$

$-0.00012t = \ln{0.8}$

$t = -\frac{\ln{0.8}}{-0.00012}$

$t = 1860$

The fossil is 1860 years old.

4 0

3 years ago

A registration fee for a used car is 0.8% of the sale price of $5,700. How much is the fee

natima [27]

$\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{0.8\% of 5700}}{\left( \cfrac{0.8}{100} \right)5700}\implies 45.6$

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3 years ago

Find the sum of 86331 and 909

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87,240. I added them both together.
Sum= addition

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