It takes 56 pounds of seed to completely plant an 8-acre field. How many acres can be planted per pound of seed?

Answer:

  x -4y = -24

Step-by-step explanation:

Given the equation of a line in standard form, you can write the equation of the perpendicular line by swapping the coefficients and negating one of them. The constant needs to be adjusted to make the equation true at the point you want the line to pass through.

  4x +y = 7 . . . . given line

  x -4y = constant . . . . equation with coefficients swapped, one negated

  x -4y = (-4) -4(5) = -24 . . . . equation with appropriate constant

An equation for the desired line is ...

  x -4y = -24

__

Additional comment

The standard form equation has a positive leading coefficient, so the choice of which coefficient to negate will take that into account.

The slope of the standard form line ...

  ax +by = c

is m = -a/b.

The slope of the perpendicular line is the opposite reciprocal of this:

  m' = -1/m = b/a

You can see that this swaps the coefficients and negates one of them.

it was originally "x" or that is 100%.  We also know that she found it for 51 bucks, and that those 51 bucks are 100% - 92% = 8% of the original price, so

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 51&8 \end{array}\implies \cfrac{x}{51}=\cfrac{100}{8}\implies \cfrac{x}{51}=\cfrac{25}{2} \\\\\\ 2x=1275\implies x=\cfrac{1275}{2}\implies x=637.5[/tex]

The triangle ABC is a right triangle

The length of AC is 12.00 cm

From the figure, we have the following parameters:

Length AB = 13 cm

Angle A = 22.6 degrees

Represent the length AC with b.

So, we have the following cosine ratio

[tex]\cos(A) = \frac{b}{AB}[/tex]

Substitute known values

[tex]\cos(22.6) = \frac{b}{13}[/tex]

Make b the subject

[tex]b = 13 * \cos(22.6)[/tex]

Evaluate the product

[tex]b = 12.00[/tex]

Hence, the length of AC is 12.00 cm

Read more about right triangles at:

https://brainly.com/question/16249977

Answer:

The converse of the base angles theorem is always true. The base angles theorem states that if two sides of a triangle are congruent the angles opposite them are also congruent. The converse of this statement is that if two angles in a triangle are congruent, then the sides opposite them will also be congruent

Step-by-step explanation:

Answer:

$459

Step-by-step explanation:

Given the following question:

32% of 675

To find the answer to this question we need to use the formula to calculate 32% of 675. Then we subtract that answer from our original price which will then give us our answer.

[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{32\times 675}{100}[/tex]
[tex]32\times675=21600[/tex]
[tex]21600\div100=216[/tex]
[tex]=216[/tex]

Subtract from the original price:
[tex]675[/tex]
[tex]675-216=459[/tex]
[tex]=459[/tex]

The television after a 32% discount will cost "$459."

Hope this helps.

Answer:

Zack is correct with the -4.5

Step-by-step explanation:

When multiplying by .5 just cut the number in half so 4.6 becomes 2.3 and since the .5 was negative the 2.3 becomes a negative so -2.3 -2.2=-4.5

Hope this helped.

A brainliest is always appreciated.

Check the picture below.

Make sure your calculator is in Degree mode.

Answer:

Step-by-step explanation:

180m = 180 * 100 = 18000 cm

Scale factor = 6 : 18000

                    = 1 : 3000

Length of other two sides:

8*3000 = 24000 cm  = 240 m

9 * 3000 = 27000 cm = 270 m

Answer:

the answer is D

Step-by-step explanation:

Because the point of x=4 is passed through the point (0,4).

Answer:

256

Step-by-step explanation:

(a^n)^m = a^nm

=(8^⅔)⁴ =8^⅔×⁴

=2³×⅔×⁴ (8 = 2³)

=2^8 =256

Answer:

Step-by-step explanation:

8 = 2*2*2 = 2³

[tex]\left[8^\left(\dfrac{2}{3}\right) \right]^{{4}}=\left[2^{3}^\left(\dfrac{2}{3}\right) \right]^{{4}}\\\\\\=2^{3*\dfrac{2}{3}*4}\\\\\\=2^{2*4}\\\\\\=2^{8}[/tex]

Answer:

=137.2m^3

Step-by-step explanation:

Formula:
V=4/3πr^3

=4/3*3.14*3.2^3
=4/3*3.14*32.768

V=137.188693333m^3

V Rounded=137.2m^3

The equation to describe this situation is that Bobby's cat and dog were 6 miles apart after 30 minutes is 0.5x = 6

Since Bobby's cat runs at x mph, its speed is x mph.

Also, Bobby's dog runs twice as fast as his cat. So, his dog's speed is v = 2x.

Since they both move a distance in t = 30 min = 30 min × 1 h/60 min = 0.5 h.

Bobby' cat's distance in 30 mins is d = x × 0.5 h

= 0.5x miles

Also, Bobby's dog covers a distance in 30 min, D = v × 0.5 h

= 2x × 0.5 h

= x miles

Since Bobbys cat and dog were 6 miles apart after 30 min, we have that

D - d = 6

x - 0.5x = 6

0.5x = 6

So, the equation to describe this situation  that Bobby's cat and dog were 6 miles apart after 30 minutes is 0.5x = 6

Learn more about linear equations here:

https://brainly.com/question/15602982

Answer:

1.5x=6

Step-by-step explanation:

after 30 min they will be 1.5x miles apart from each other, so you know that they traveled 6 miles, 1.5x=6 :)

Rsm sucks :(

Answer:

1. none of these

2. vertical angles

Step-by-step explanation:

itz cuz im that bi/tch

Answer:

yes what the person above said.

Step-by-step explanation:

Solution:

Note that:

Finding the volume:

Converting into scientific notation:

Step-by-step explanation:

(x+y)(x-y)

=> [tex] {x}^{2} - {y}^{2} [/tex]

Answer:

$1,800

Step-by-step explanation:

($900)(0.1)(10) = $900

$900 + $900 = $1,800

Answer:

No option is correct.

Step-by-step explanation:

See attached image (without the student).

Answer:

Cant

Step-by-step explanation:

Answer:

The answer for this oblique question is 4.375

Step-by-step explanation:

for 35 ÷ 8 = 4.375

Answer:

35/8=4.375

5 tables needed

Step-by-step explanation:

35/8=4.375

you have to round cuz there can't be 0.375% of a student

and there can't be 0.375 of a table...so it's 5 tables

Answer:

ok 1920

Step-by-step explanation:

Answer:

Q1/6.5

Q2/ 12.5

.....

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.

Step-by-step explanation:

per minute means ÷ mins (on the denominator)

Answer:

m∠C = 98°

Step 1: Derive an Equation

To solve this problem, we will use what is called the Exterior Angle Theorem. This states that in a triangle, the measure of an exterior angle is equal to the sum of the measures of its 2 corresponding remote interior angles.

In this case, the exterior angle is ∠T (the obtuse one) and the remote interior angles are ∠C and ∠Y. Therefore, m∠T = m∠C + m∠Y.

Substituting the given measures into the equation, we get:

[tex]3x+2+x=130[/tex]

Step 2: Solve the Equation

[tex]3x+2+x=130[/tex]

[tex]4x+2=130[/tex] (Combine like terms)

[tex]4x=128[/tex] (Subtract 2 from both sides to isolate [tex]x[/tex])

[tex]x=32[/tex] (Divide both sides by 4 to get rid of [tex]x[/tex]'s coefficient)

Step 3: Answer the Question

We now know what [tex]x[/tex] is. Therefore, m∠C = [tex]3*32+2=\bf 98 \textdegree[/tex].

To learn more about the Exterior Angle Theorem, check out the following questions:

Answer:

Step-by-step explanation:

Unit of area is m^2, so last choice

Answer:

i think it is a because that the answer

Answer:

8:9

Step-by-step explanation:

when it comes to ratios and it asks you what the ratio is and theirs no division, adding, multiplication, subtraction, or anything like then you just take the first number and the second number then put this : between the two numbers and that's it

With Cos s=-2/5 and sin t=4/5, s and t are in quadrant 4,  cos(s+t) and cos(s-t) is mathematically given as

cos(s+t)= 0.493

cos(s-t)= 0.97321

Question Parameter(s):

Cos s=-2/5 and sin t=4/5, s and t are in quadrant 4

Generally, the equation for the s and t as functions of the 4 qudrants is mathematically given as

cos(s+t) = cos(s)*cos(t) - sin(s)*sin(t)

Therefore

cos(s+t)= -4/5 * [tex](-\sqrt{21}[/tex]/5) - (-3/5)*(-2/5)

cos(s+t)= 4*[tex]\sqrt{21}/[/tex]25 - 6/25

cos(s+t)= 0.493

In conclusion,

cos(s-t) = cos(s)*cos(t) + sin(s)*sin(t)

cos(s-t)= -4/5 * (-[tex]\sqrt{21}/[/tex]5) + (-3/5)*(-2/5)

cos(s-t)= 4[tex]*\sqrt{21}[/tex]/25 + 6/25

cos(s-t)= 0.97321

Read more about Lenght

https://brainly.com/question/8552546

Answer:

No, Susan is not right.

Step-by-step explanation:

Susan's time = 5:55

Jamal's time = 11:42

Half of Jamals time = 5:51

5:55<5:51

Susan is not right

Answer:

50

Step-by-step explanation:

10 (x - y)

Substitute the given values for x and y.

10 (8 - 3)

= 10 (5)

= 10 x 5

= 50

hope this helps!! p.s. i really need brainliest :)