A horticulturist wants to improve the soil quality in a garden by adding 120 pounds of nitrogen and 54 pounds of potassium. A pack of organic fertilizer contains 2 pounds of nitrogen and 3 pounds of potassium, and a pack of inorganic fertilizer contains 6 pounds of nitrogen and 2 pounds of potassium. How many packs of each type of fertilizer does the horticulturalist need to use? (Hint Write an equation for the total amount of nitrogen (120 pounds) obtained by adding the packs of both the fertilizers and another equation for the total amount of potassium (54 pounds) obtained by adding the packs of both the fertilizers.)

A organic fertilizer: 24 packs; inorganic fertilizer: 12 packs

B. organic fertilizer: 14 packs; inorganic fertilizer: 6 packs

C organic fertilizer: 15 packs; inorganic fertilizer: 8 packs

D. organic fertilizer: 9 packs; inorganic fertilizer: 17 packs

Е. organic fertilizer: 6 packs; inorganic fertilizer: 18 packs​

Answer:

Step-by-step explanation:

A function is a relation in which each input has only one output

so a relation cannot have more than one output

Answer:

each input (x-value) only has one output (y-value)

Step-by-step explanation:

you can use the vertical line test; pretend to draw vertical lines and if there are two point on the graph where the vertical line touches, it cannot be considered function.

Answer: 300cal ≤ y ≤ 1200 cal

Step-by-step explanation:

Let's define x as the number of cookies that you eat, and y as the number of calories you consume in those cookies.

"if you eat no fewer than 2 cookies..."

This is written as:

2 ≤ x

This means that x can be equal to 2, or larger than 2.

"...and no more than 8 cookies"

This is written as:

x ≤ 8

This means that x can be smaller than 8 or equal to 8.

If we combine those two, we have:

2 ≤ x ≤ 8

And we know that each cookie contains 150 calories, and rememer that these numbers represent number of cookies, then the numbers of calories will be:

2*150 cal  ≤ y ≤ 8*150 cal

300cal ≤ y ≤ 1200 cal.

Answer:

6,371.15

Step-by-step explanation:

3.14 times 13^2 times 12

Answer:

Volume equals pi times radius to the power of 2 times height

that will be pi times 13^2 times 12= 6,367.92

radius is the 13 and you have to put it to the power of 2 and multiply it by 3.14 which is pi and multiply it by 12 and the answer is 6,367.92

Step-by-step explanation:

Answer:

keith is poor

Step-by-step explanation:

sorry

Answer:

12

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

You find the unit rate of 9:3 and its 3 then multiply three by 7 and thats

21.

Answer: A?

Step-by-step explanation:

Answer:2^3

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

hope this helps ^^

Answer:

B is the correct answer

Step-by-step explanation:

Edit: Woops it was already answered... sorry!

Answer:

(-5)

Step-by-step explanation:

(-5)+7=2(×-6) fahhshzhsuhshzhhsbwysvavaghahahahwhwgwvavvwhhwshahwh

Answer:

Quadrant IV

Step-by-step explanation:

Answer:

just use a calculator on ur phone.....

Answer:

152.2381

Step-by-step explanation:

Answer: She would earn $5 per dog

Step-by-step explanation: 20 divided by 4 = 5

Answer:

$5 for each dog

Step-by-step explanation:

If you have $20 for walking 4 dogs and wanted to know how much you made for each single dog, you would divide by the number of dogs by the amount you received doing this you get the equation 4/20. That equals 5.

Answer:

the given equation is y=4/7x

reciprocating both sides you get y/x =7/4

now x and y are directly porportional to each other so

x=ky where k is the constant

or x/y=k ......................(2)

equating 1 and 2

k=7/4

Step-by-step explanation:

Answer:

No relationship

Step-by-step explanation:

Answer:

B. The number of vertices equal the number of isosceles triangles.

Step-by-step explanation:

1st figure:

No. of vertices: 4

No. of isosceles triangles: 4

2nd figure:

No. of vertices: 5

No. of isosceles triangles: 5

3rd figure:

No. of vertices: 6

No. of isosceles triangles: 6

Thus, the number of vertices equal to the number of isosceles triangles.

Answer:

Step-by-step explanation:

D is congruent to b so the answer is equal to 45 + 3x -10 + 2x + 10 = 180 . this can be to 45 + 5x = 180, and further to 5x + 135 to x=27

Answer: 56 miles/hour

Step-by-step explanation: 498-106=392

9-2=7

392/7= 56 , units- miles/hour

The average rate of change of the distance over the interval 2 < t < 9 is 56 units- miles/hour.

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

It is given that:

The distance, d, that a car has traveled, as a function of time, t, is given in the table below.

Difference  = 498 - 106

= 392

= 9 - 2

= 7

From the formula:

Rate of change = change in distance/change in time

= 392/7

= 56 units- miles/hour

Thus, the average rate of change of the distance over the interval 2 < t < 9 is 56 units- miles/hour.

Learn more about the distance here:

brainly.com/question/26711747

#SPJ6

Answer:

p= 76

A=338

Step-by-step explanation:

Perimeter: 15+18+18+8+17=76

Area:

15x18=270+(8x17/2)

270+68=338

Answer:

Please check the explanation.

Step-by-step explanation:

1) Writing the equation of the pattern

Figure 1 has 4 circles.

Figure 2 has 7 circles.

Figure 3 has 10 circles.

Thus, the sequence becomes

4, 7, 10,...

Finding the common difference between the adjacent terms

d = 7 - 4 = 3, d = 10 - 7 = 3

As the common difference is the same, so this represents the Arithmetic sequence.

so

d = 3

as

a₁ = 4

Thus, the nth term of the Arithmetic sequnce is

aₙ = a₁ + (n-1)d

aₙ = 4 + (n-1)3

aₙ = 4 + 3n - 3

aₙ = 1 + 3n

2) Determining the circles in the 23rd figure

As the nth term is given by

aₙ = 1 + 3n

putting n = 23

a₂₃ = 1 + 3(23)

a₂₃ = 1 + 69

a₂₃  = 70

3) Determining the figure having 82 circles

As the nth term is given by

aₙ = 1 + 3n

Given

aₙ = 82

To determine

n=?

Thus,

aₙ = 1 + 3n

82 = 1 + 3n

3n = 82-1

3n = 81

Dividing both sides by 3

n = 27

Therefore, 27th figure will have 82 circles.

Answer:

5

Step-by-step explanation:

-2-8/0-2

-10/-2

Answer:

7/6

Step-by-step explanation:

In order to find slope when you have two ordered pairs, you use this equation: (y2-y1)/(x2-x1)

In this case, when you plug them in, you get (49-7)/(42-6), which is 42/36, which is 7/6.

Hope this helped :)

Answer:

51 points

Step-by-step explanation:

x+x+8+42>150

2x+50>150

2x>100

x>50

So, the least number is 51 which satisfies the inequality

Hope this helps plz hit the crown :D

Answer:

85

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Answer:

There's no options

Step-by-step explanation:

Answer:

Options please

Step-by-step explanation:

3/4 feet

You can set this up as an equation and solve

[tex]5\frac{2}{3}-4\frac{11}{12} =5\frac{8}{12} -4\frac{11}{12} =4\frac{20}{12} -4\frac{11}{12}=\frac{9}{12} =\frac{3}{4}[/tex]

Answer:

you can subtract 2x from both sides

Then subtract 5 from both sides.

x = 2 is what the equation gives you

Step-by-step explanation:

You can do one of two things.

1. You can subtract 2x from both sides of the equation

or

2. You can subtract 5 from both sides of the equation.

Either one will give you the correct answer.

3x - 2x + 5 = 2x - 2x + 7    Combine the xs

1x + 5 = 7                             Subtract 5 from both sides.

x + 5-5 = 7-5

x = 2

Answer:

subtract the lowest variable from the highest variable.

Step-by-step explanation:

3x+5=2x+7

1x+5=7

add the 5 to the 7

12

divide 12 and the 3x

Answer: 4.

x=4

Answer:

Your answer will be 69

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is 49.0 so it’s d I just took the test

Answer:

the given are not correct the real answer is 15/29 or 0.517...

Step-by-step explanation:

7-58z = -23

-58z = -23 -7

-58z =-30 the negatives will cancel each other out

-58. -58

z = 30/58 divide both by 2

z= 15/29 which can also be equal to 0.517...