It takes 91 pounds of seed to completely plant a 10-acre field. How many acres can be planted per pound of seed?

9514 1404 393

Answer:

  (5, 1)

Step-by-step explanation:

Reflection across the x-axis negates the y-coordinate:

  (x, y) ⇒ (x, -y) . . . . reflection across the x-axis

Rotation 90° CCW is the transformation ...

  (x, y) ⇒ (-y, x) . . . . rotation 90° CCW

The two transformations together give ...

  (x, y) ⇒ (y, x) . . . . reflection across the x-axis, then rotation 90° CCW

For point B, this gives ...

  B(1, 5) ⇒ B'(5, 1)

Answer: n = 3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

take the 7 and minus it from 31 then divide 8 from 31

Answer:

x = 19

Step-by-step explanation:

x = Courtney's current age

14+x = Mary's current age

Mary's current age: 14 + 19 = 33

14 + x + 5 = 2x

19 = x

Step-by-step explanation:

given

a = - 3

3a² = 3 * ( -3) ²

= 3 * 9

= 27

The value of 3a² is 27.

Answer:

Angle Y < Angle Z

Step-by-step explanation:

Answer:

angle X < angle Y

Step-by-step explanation:

........

Answer:

5/64

Step-by-step explanation:

1/8*5/8

Answer:

answer is B

5/64

Step-by-step explanation:

hope this helps!

Answer:

A. Claie runs 5 km in a half hour. In 2 1/2 hours she runs 25 km.

B. Malia runs 2.5 miles in a half hour, and 12.5 miles in 2 1/2 hours.

C. Claire runs farther. She runs approximately 15.5 miles while Malia runs 12.5 miles.

Answer:

7.5

Step-by-step explanation:

Answer:

=11n+2+8n+16+2n+2 simplification is 11n+20+2N

Step-by-step explanation:

Answer:

x = 11 , m∠2 = 31

Step-by-step explanation:

We know that m∠1  is equal to both 6x+8 and 74

Therefore, 6x+8 = 74

And 6x = 66

x = 11

To find m∠2, we just plug in the value of x that we got earlier

(7x-2) + m∠2 = 106

(77-2) + m∠2 = 106

m∠2 = 31

Answer:

X= 20 degrees

Step-by-step explanation:

Because all the sides are the same length, we know this triangle is an equilateral triangle. In an equilateral triangle, all the angle measures are the same as well, and the sum of all the angles in a triangle is 180 degrees. So we have the equation:

(3x)3= 180

9x= 180

X =20

Step-by-step explanation:

Time in hours is directly proportional to the number of newspapers.

3 hours = 450 newspapers

=> 4 hours = 450 * (4/3) = 600 newspapers.

Hence Joy can deliver 600 newspapers in 4 hours.

Answer:

x: -16

y: 4

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

Answer:

y= 45

x=9

Step-by-step explanation:

plug 5x into y since y=5x:

5x=4x+9

-4. -4

x=9

5(9)=45

Answer:

x=9 y=45

Step-by-step explanation:

y=4x + 9.......(1)

y= 5x.........(2)

Substitute 5x for y in equation 1.

5x= 4x + 9

5x - 4x = 9 (Collect like terms 5 and 4 have x in common if +4 crossover it changes to -4)

x = 9

substitute 9 for x in equation 2.

y = 5(9)

y = 5 x 9(multiplication)

y = 45

Answer:

There are 25 students in the class.

Step-by-step explanation:

1. Set up an equation. The equation would be 6 = 24/100x.

2. Solve the equation. You can solve this by multiplying both sides by 100/24, and 100/24 * 6 = 25. You would then get that x = 25, which means that the number is 25.

Answer:

25 students

Step-by-step explanation:

25 x 0.24 = 6

Answer:

$5

Step-by-step explanation:

The opposite of multiplication is division.

$15/Raking = 3 times more pay than mowing the lawn.

Divide $15/Raking by 3 and you'll get the pay for mowing the lawn.

15/3 = 5

Answer:

5

Step-by-step explanation:

Step-by-step explanation:

Soln

given,

from the figure

coordinate of B is (5,3),

A(7,0) and C(0,4)

A. solution

let, M(x,y) be the mid point of AB

A(7,0) = (x1,y1)

B(5,3) = (x2,y2)

we know

x = (x2+x1)/2

or, x = (5+7)/2

or, x = 12/2

or, x = 6

and for y

y = (y2+y1)/2

or, y = (3+0)/2

or, y = 3/2

therefore M(x,y) = (6,3/2)

B. solution

let,

C(0,4) = (x1,y1)

B(5,3) = (x2,y2)

equation of line is ;

(y - y1)/(x - x1) = (y2 - y1)/(x2 - x1)

or, (y - 4)/(x -0) = (3 - 4)/(5 - 0)

or, (y - 4)/(x - 0) = -1 / 5

by cross multiply

or, 5×(y - 4) = -1×(x)

or, 5y - 20 = -x

or, x + 5y = 20 is the required equation.

Answer:

divide the numerator by the denominator

Answer:

0.000307

Step-by-step explanation:there will be no explaintion but it should be correct

Answer:

it should be 0.000307

Step-by-step explanation:

Step-by-step explanation:

I hope its clear.

try finding help from others...

mine could be wrong

Answer:

Basic parabola:  y = ax2 + bx + c

We have 3 points we can plug in for (x, y) to create 3 simultaneous equations

(-2, 24):  24 = 4a - 2b + c   {equation 1}

(3, -1):   -1 = 9a + 3b + c    {equation 2}

(-1, 15): 15 = a - b + c        {equation 3}

Solve this system to find the values of a, b, c

Let's first eliminate variable c:

4a - 2b + c = 24   {equation 1}

 a -  b + c = 15    {equation 3}

---------------------  subtract

3a - b = 9

9a + 3b + c = -1    {equation 2}

 a -  b + c = 15    {equation 3}

--------------------  subtract

8a + 4b = -16

We now have two equations with 2 unknowns we can use to find a, b

3a - b = 9         {equation 4}

8a + 4b = -16   {equation 5}

Multiply equation 4 through by 4 and add equations

12a - 4b = 36

8a + 4b = -6

-----------------   add

20a = 30

a = 30/20

a = 3/2

8a + 4b = -6

8(3/2) + 4b = -6

12 + 4b = -6

4b = -6- 12

4b = -18

b = -18/4

b = -9/2

Plug these 2 values into one of the original equations and solve for c

15 = a - b + c        {equation 3}

15 = 3/2 + 9/2 + c

15 = 12/2 + c

15 = 6 + c

c = 15-6

c = 9

y = (3/2)x2 - (9/2)x+ 9

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Step-by-step explanation:

Answer:

y = x + 3

Step-by-step explanation:

y = mx + b

m is the slope

b is the y intercept

if m = 1 and b = 3 then

y = x + 3

Answer:

Assuming that the x2 is x squared, B

Step-by-step explanation:

(1)(1) + 5(1) - 6 = 1 + 5 - 6 = 6 - 6 = 0

(-6)(-6) + 5(-6) - 6 = 36 - 30 - 6 = 6 - 6 = 0

Answer:

B

Step-by-step explanation:

Let's solve using factoring.

x²+5x-6=0

5 is the sum of the numbers, while -6 is their product.

Think: which two numbers add up to 5, but when multiplied, equal -6?

Those numbers are -1 and 6.

Now factor the polynomial:

(x-1)(x+6)=0

split into parts:

(x-1)=0

x-1=0

x=1

(x+6)=0

x+6=0

x=-6

So B

Hope this helps!

Answer:

12e - 6f - 8

Step-by-step explanation:

(a+b)*c = a*c + b*c

6e * 2 -3f * 2 -4 * 2

Answer:

so since their goal is to get $450 and each candy box is $3.75, what you do is  divide $3.75 by $450 you will get $120, soooooooooooooooooooooooooooo you times $3.75 by $120 you will get $450.

Step- by-step explanation:

Answer:

We are given

We are also given  and , which allows us to rewrite the equation as

(I substituted every "b" with "a" and every "c" with "9").

The solutions to this quadratic equation are -25 and 7. We discard -25 because a side with negative length would make no sense.

The required measure of side a of the rectangular prism is a = 9.3 meters.

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

Here,
SA = 2ab + 2bc + 2ac
434 = 2a² + 14a + 14a
434 = 2a² + 28a
2a² + 28a - 434 = 0
a² + 14a - 217 = 0
a² + 14a + 49 - 49 - 217 = 0
(a + 7)² = 266
a = 9.3 or a = -23.3

Since the negative measure of length can be neglected.
a = 9.3 = b

Thus, the required measure of side a of the rectangular prism is a = 9.3 meters.

Learn more about the surface area here: https://brainly.com/question/2835293

#SPJ5

Answer:

The answer is (-1,-10)

hope this helps

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Answer:

D. (-1, -10)

Step-by-step explanation: I put your question into a math calculator and got this as your answer. Good luck!

Answer:

b=2

Step-by-step explanation: