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3 years ago

I bought 5 cakes for 15 people to share equally. What fraction of cake does each person get?

Mathematics

1 answer:

Elodia [21]3 years ago

4 0

Answer:

Step-by-step explanation:

You put 5 on top and 15 on the bottom so it would look like this

Answer: 5/15

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What is the product?

Advocard [28]

No answer isWright it should be -18x + 45

Plz comment if I’m wrong

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3 years ago

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Mason opens a savings account by making a $165.85 deposit. Every week, he deposits another $20.50 in the account. The following

monitta

Answer:

370.85

Step-by-step explanation:

20.50×10. +165.85=

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2 years ago

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Find the solution of the differential equation dy/dt = ky, k a constant, that satisfies the given conditions. y(0) = 50, y(5) =

irga5000 [103]

Answer: The required solution is $y=50e^{0.1386t}.$

Step-by-step explanation:

We are given to solve the following differential equation :

$\dfrac{dy}{dt}=ky~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

where k is a constant and the equation satisfies the conditions y(0) = 50, y(5) = 100.

From equation (i), we have

$\dfrac{dy}{y}=kdt.$

Integrating both sides, we get

$\int\dfrac{dy}{y}=\int kdt\\\\\Rightarrow \log y=kt+c~~~~~~[\textup{c is a constant of integration}]\\\\\Rightarrow y=e^{kt+c}\\\\\Rightarrow y=ae^{kt}~~~~[\textup{where }a=e^c\textup{ is another constant}]$

Also, the conditions are

$y(0)=50\\\\\Rightarrow ae^0=50\\\\\Rightarrow a=50$

and

$y(5)=100\\\\\Rightarrow 50e^{5k}=100\\\\\Rightarrow e^{5k}=2\\\\\Rightarrow 5k=\log_e2\\\\\Rightarrow 5k=0.6931\\\\\Rightarrow k=0.1386.$

Thus, the required solution is $y=50e^{0.1386t}.$

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3 years ago

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If the trapezoid on the grid below is translated by using the rule (x,y)-> (x-4,y-3) what will be the coordinates of B’?

vesna_86 [32]

Answer:

B'(3, 5)

Step-by-step explanation:

Rule for the translation of a point (x, y) by 'h' units left and 'k' units upwards,

(x, y) → (x - h, y + k)

If h = 4 and k = 3,

$(x, y)\rightarrow(x-4,y+3)$

Following this rule coordinates of the image point of B will be,

B(7, 2) → B'(7 - 4, 2 + 3)

→ B'(3, 5)

Therefore, coordinates of the image point B' will be,

B'(3, 5)

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2 years ago

Which describes the cross section of a square prism that passes through vertices A, B, and C? A square prism. The cross section

forsale [732]

Answer:

D is wrong its C

Step-by-step explanation:

I just took the test and c was wrong its D and if its neither let me know.

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3 years ago