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Lorico [155]
3 years ago
9

Luke, Kira, and Ali each served 2/3 of their own cake. Each cake was the same size, but Luke served 4 slices, Kira served 6 slic

es, and Ali served 8 slices. How is this possible? Enter your answers in the boxes to complete the solution.
Luke cut his cake into how many slices?

Kira cut her cake into how many slices? and

Ali cut her cake into how many slices.
Mathematics
2 answers:
Tanzania [10]3 years ago
5 0
It would be 6;9;12 hope this helps
Allisa [31]3 years ago
4 0

Answer:

6; 9; 12

Step-by-step explanation:

It's possible because they cut cakes into different no. of slices

Luke: 2/3 of the cake are 4 slices

Entire cake 4/(2/3) = 4×3/2 = 6 slices

Kira: 2/3 of the cake are 6 slices

Entire cake 6/(2/3) = 6×3/2 = 9 slices

Ali: 2/3 of the cake are 8 slices

Entire cake 8/(2/3) = 8×3/2 = 12 slices

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Solve 2 log x = log 64. (1 point)
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Answer:

8

Step-by-step explanation:

2log(x)=log(64)

By logarithms properties

xlog_{a}(b)=log_{a}(b^{x} )  \\

log(x²)=log(64)

When you have log or ln in both sites, you delete them and...

x²=64

\sqrt[]{x^{2} } =\sqrt{64} \\x=8

7 0
3 years ago
How long will it take for an undersea sonar pulse<br> to travel 3 km?
Deffense [45]

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2 seconds

Step-by-step explanation:

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2 years ago
Given: y" - 2y' = 6t + 5e^2t. Find the correct form to use for y_p if the equation is solved using Undetermined coefficients. Do
const2013 [10]

Answer:

y_p=A+Bt+Ce^{2t}

Step-by-step explanation:

Given: y'' - 2y' = 6t + 5e^{2t}.

we need to find the correct form for y_p if the equation is solve using undetermined coefficients.

A first order differential equation \frac{\mathrm{d} y}{\mathrm{d} x}=f\left ( x,y \right ) is said to be homogeneous if f(tx,ty)=f(x,y) for all t.

Consider homogeneous equation y''-2y'=0

Let y=e^{rt} be the solution .

We get (r^2-2r)e^{rt}=0

Since e^{rt}\neq 0, r^2-2r=0.

So, we get solution as y_c=c_1+c_2e^{2t}

As constant term and e^{2t} are already in the R.H.S of equation

y" - 2y' = 6t + 5e^{2t}, we can take y_p as y_p=A+Bt+Ce^{2t}

6 0
3 years ago
You have 16 socks in your drawer. 4 are black, 6 are white, 4 are blue, and 2 are gray. Suppose you randomly choose a sock, repl
Alinara [238K]

Answer:

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Step-by-step explanation:

4/16 + 2/16 - 1/32

simplify and solve

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3 years ago
Please help on this one!! I need it in ASAP :(
lisov135 [29]

Answer:

Hey there! here's your answer

Step-by-step explanation:

Speed = distance/Time

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Speed = 3/5 * 2

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5 0
3 years ago
Read 2 more answers
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