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3 years ago

I have 25 pound bags of cat food . Each serving is 1.8 from the bag. How many servings can you get?

Mathematics

2 answers:

Nookie1986 [14]3 years ago

6 0

Answer:

10 servings

Step-by-step explanation:

try your best

Ivanshal [37]3 years ago

3 0

Answer:

13.8 servings

Step-by-step explanation:

25 divided by 1.8

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Find the solution to the system of equations. y= 2x + 3 (-1, [?])

Dmitry_Shevchenko [17]

Answer:

(-1, 1)

Step-by-step explanation:

plug in -1 for x

y = 2(-1) + 3

y = -2 + 3

y = 1

(-1, 1)

7 0

3 years ago

What is the equation of the line that is perpendicular to the given line and passes through the point (3, 0)?

olga2289 [7]

Step $1$

Find the slope of the given line

Let

$A(-3,2)\ B(2,-1)$

slope mAB is equal to

$mAB=\frac{(y2-y1)}{(x2-x1)} \\ \\ mAB=\frac{(-1-2)}{(2+3)} \\ \\ mAB=-\frac{3}{5}$

Step $2$

Find the slope of the line that is perpendicular to the given line

Let

CD ------> the line that is perpendicular to the given line

we know that

If two lines are perpendicular, then the product of their slopes is equal to $-1$

$mAB*mCD=-1\\ mAB=-\frac{3}{5} \\ mCD=-\frac{1}{mAB} \\ mCD=\frac{5}{3}$

Step $3$

Find the equation of the line with mCD and the point (3,0)

we know that

the equation of the line in the form point-slope is equal to

$y-y1=m(x-x1)\\\\ y-0=\frac{5}{3} *(x-3)\\\\ y=\frac{5}{3} x-5$

Multiply by $3$ both sides

$3y=5x-15$

$5x-3y=15$

therefore

the answer is

the equation of the line that is perpendicular to the given line is the equation $5x-3y=15$

4 0

3 years ago

Read 2 more answers

A parabola, with its vertex at the origin, has a directrix at y = 3. Which statements about the parabola are true? Select two op

shutvik [7]

Answer:

Step-by-step explanation:

Let's answer these questions in an all-encompassing kind of explanation. If you plot the vertex and the directrix, you see that the vertex is below the directrix. Because of the fact that a parabola opens AWAY from the directrix, and wraps itself around the focus, we know it's an upside down parabola of the form

$4p(y-k)=-(x-h)^2$

The p value from the equation is a distance, specifically the distance between either the vertex and the directrix, or the vertex and the focus. The vertex is exactly in the middle of the directrix and the focus. So that tells us that the focus is 3 units below the vertex (because the directrix is 3 units above the vertex). We also know from this that p = 3.

Filling in the equation with a vertex of (0, 0) which is our h and k respectively:

$4(3)(y-0)=-(x-0)^2$ which simplifies to

$12y=-x^2$ and multiplying both sides by -1:

$-12y=x^2$ . This is not standard form, but it matches what your equation is in the choices. So to sum up:

The focus is located at (0, -3) and the first choice is true.

The parabola opens upside down and the second choice is not true.

The p value is found by counting the units between the vertex and the directrix, so the third choice is not true.

We solved the equation by filling in the values for h, k, and p and got that the equation in the fourth choice is true.

So the fifth choice is not true.

6 0

3 years ago

Read 2 more answers

An entertainment company is opening a theme park in a nearby city. They are in the process of designing the theatre where a wate

Sindrei [870]

Answer:

1) = 20510 ^3ft (volume of the quarter sphere.)

2) = 240406 ^3ft each or 240406. 25^3 ft, (480812.5 ^3 ft combined volume of half vertically cut cylinder tanks)

3) =2564.^3ft or 2563.69225^3ft (volume of smaller m/u tank)

4) The volume of the original main show tank is 87.5% of the mock-up of the tanks volume meaning difference in increase.

Step-by-step explanation:

1) 4/3 pi x r+r

= 1.333 x 3.14 x 70 x 70

= 4.18562 x 70 x 70 = 20509.538

2) We (x2) dimensions not radius to make 1 whole cylinder

r = 35 feet = stays same as radius can only be half of a joined circle,

then vertically cut

h = 125 x 2 = 250ft

Equation = for Area first

Pi x r ^2

= 3.14ft x 35r x 35r = Surface Area = 3846.5

Volume = Surface area x H

= 3846.5 x 125 = = 480812.5 combined.

= 480812.5 / 2 = each = 240406.25ft

3) 1/8 of 20509.538 = 2563.69225

4) 7/8 of 20509.538 =2563.69225 x 7 = 17945.84575

For the larger tank the increase is 17946 ft rounded up (0.165 value) of that of the smaller mock up tank. Therefore percentage 1/8 = 12.5% and 7/8 = 87.5%

We multiply by the increase 08.75 or multiple 2563.69225 x 7 to find answer of 17945.84575 this is labelled increase size difference. We then just add ^3(power)ft to show the volume in answer format.

7 0

3 years ago

What is the Y intercept equation of -3x - y = 7

padilas [110]

Answer:

0, -7

Step-by-step explanation:

8 0

3 years ago