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ipn [44]
3 years ago
15

Which of the following fractions is equivalent to 10/12? 40/48 20/30 4/5 12/14

Mathematics
2 answers:
Sergeeva-Olga [200]3 years ago
6 0

Answer:

40/48

Step-by-step explanation:

10*4=40

12*4=48

Vanyuwa [196]3 years ago
6 0

Step-by-step explanation:

\dfrac{10}{12}=\dfrac{10\cdot4}{12\cdot4}=\dfrac{40}{48}

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The center on a target has a diameter of 5 inches. The whole target has a diameter of 25 inches. The center of the target takes
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4%

To find the percentage, first find the area of both circles. The area formula is \pi  r^{2} . After finding the area of the center of the target (19.625) and the area of the large target (490.625), set up a percent proportion to determine the percentage that the center takes up: 

\frac{is}{of} =  \frac{percent}{100}


\frac{19.625}{490.625} =  \frac{percent}{100}


Cross multiplying and dividing by 490.625 will give a total of 4%.



4 0
3 years ago
Zen deposited some money in a savings account. The graph below shows the value of Zen's investment y, in dollars, after x months
kifflom [539]

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ANSWER: Answer choice D (Amount of money Zen deposited in the savings account)

6 0
3 years ago
Read 2 more answers
Solve the Differential equation (x^2 + y^2) dx + (x^2 - xy) dy = 0
natita [175]

Answer:

\frac{y}{x}-2ln(\frac{y}{x}+1)=lnx+C

Step-by-step explanation:

Given differential equation,

(x^2 + y^2) dx + (x^2 - xy) dy = 0

\implies \frac{dy}{dx}=-\frac{x^2 + y^2}{x^2 - xy}----(1)

Let y = vx

Differentiating with respect to x,

\frac{dy}{dx}=v+x\frac{dv}{dx}

From equation (1),

v+x\frac{dv}{dx}=-\frac{x^2 + (vx)^2}{x^2 - x(vx)}

v+x\frac{dv}{dx}=-\frac{x^2 + v^2x^2}{x^2 - vx^2}

v+x\frac{dv}{dx}=-\frac{1 + v^2}{1 - v}

v+x\frac{dv}{dx}=\frac{1 + v^2}{v-1}

x\frac{dv}{dx}=\frac{1 + v^2}{v-1}-v

x\frac{dv}{dx}=\frac{1 + v^2-v^2+v}{v-1}

x\frac{dv}{dx}=\frac{v+1}{v-1}

\frac{v-1}{v+1}dv=\frac{1}{x}dx

Integrating both sides,

\int{\frac{v-1}{v+1}}dv=\int{\frac{1}{x}}dx

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\int{1-\frac{2}{v+1}}dv=lnx + C

v-2ln(v+1)=lnx+C

Now, y = vx ⇒ v = y/x

\implies \frac{y}{x}-2ln(\frac{y}{x}+1)=lnx+C

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3 years ago
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Answer:

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2 years ago
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