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3 years ago

8

A reporter asked a sample of boys what their favorite food was. If 30% or 42 boys said pizza, how many boys did the reporter sur

vey?

1 answer:

rosijanka [135]3 years ago

8 0

Answer:

140

Step-by-step explanation:

42 divided by 3 is 14, then you times the answer by 10, which you get 140.

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The start-up cost to join eTunes music is $7.95 plus $0.95 per song downloaded. If Will spent $26, write and solve a linear equa

Oksanka [162]

Y = 0.95x + 7.95
26 = 0.95x + 7.95
Solve for x
26-7.95 =0.95x
18.05/0.95 = x
X = 19 songs

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4 years ago

Sketch a graph of −3x+y=2

DIA [1.3K]

You can do this by first finding the y intercept which is the point where x = 0

-3(0) + y = 2
so y intercept is the point (0,2)

Now find the x intercept by putting y = 0

-3x = 2

x = -2/3

So we have 2 points (-2/3, 0) and (0,2) Draw a line through these 2 points and you have the required graph.

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3 years ago

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Allen has a photo that is 6 in by 8 in. What will the dimensions of the photo be if he scales it down by a factor of ? (5 points

Irina18 [472]

Answer:

It will be 3 in by 4 in

Step-by-step explanation:

Original dimension is 6 in by 8 in

If he scale it down by a factor of 1/2

The new dimension will be

1/2(6) by 1/2(8)

= 3 by 4

= 3 in by 4 in

7 0

3 years ago

In this problem we consider an equation in differential form Mdx+Ndy=0. (4x+2y)dx+(2x+8y)dy=0 Find My= 2 Nx= 2 If the problem is

zheka24 [161]

Answer:

$f(x,y)=2x^2+4y^2+2xy=C_1\\\\Where\\\\y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )$

Step-by-step explanation:

Let:

$M(x,y)=4x+2y\\\\and\\\\N(x,y)=2x+8y$

This is and exact equation, because:

$\frac{\partial M(x,y)}{\partial y} =2=\frac{\partial N}{\partial x}$

So, define f(x,y) such that:

$\frac{\partial f(x,y)}{\partial x} =M(x,y)\\\\and\\\\\frac{\partial f(x,y)}{\partial y} =N(x,y)$

The solution will be given by:

$f(x,y)=C_1$

Where C1 is an arbitrary constant

Integrate $\frac{\partial f(x,y)}{\partial x}$ with respect to x in order to find f(x,y):

$f(x,y)=\int\ {4x+2y} \, dx =2x^2+2xy+g(y)$

Where g(y) is an arbitrary function of y.

Differentiate f(x,y) with respect to y in order to find g(y):

$\frac{\partial f(x,y)}{\partial y} =2x+\frac{d g(y)}{dy}$

Substitute into $\frac{\partial f(x,y)}{\partial y} =N(x,y)$

$2x+\frac{dg(y)}{dy} =2x+8y\\\\Solve\hspace{3}for\hspace{3}\frac{dg(y)}{dy}\\\\\frac{dg(y)}{dy}=8y$

Integrate $\frac{dg(y)}{dy}$ with respect to y:

$g(y)=\int\ {8y} \, dy =4y^2$

Substitute g(y) into f(x,y):

$f(x,y)=2x^2+4y^2+2xy$

The solution is f(x,y)=C1

$f(x,y)=2x^2+4y^2+2xy=C_1$

Solving y using quadratic formula:

$y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )$

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4 years ago

8x+2y=-2<br> y=-5x+1<br> Solve for x and y

sp2606 [1]

X = 2
y = -9
16 - negative 18 = -2

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3 years ago

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