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​

Answers

Answer 1

x and y are the packs of organic and inorganic fertilizer, respectively.

pounds of nitrogen added = 2x + 6y = 120

pounds of potassium added = 3x + 2y = 54

eliminate the y terms. subtract the first equation from 3 times the second equation.

9x + 6y = 162

-2x - 6y = -120

------------------

7x = 42

x = 6

y = 18


Related Questions

Can someone please tell me what range and domain is. and how to tell what an independent and dependent variable are please

Answers

Answer: The dependent variable is the Y axis of a graph, or the side of the graph that is vertical. The independent variable is the X axis of a graph, or the side of the graph that is horizontal. Domain is the input of a mathematical function, and the range is the output!

Hope this helps :)

range is the difference between the largest and smaller; “ To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.”

domain is the set of all possible x-values which will make the function able to work and will output real y-values. You must remember that in a function x can NEVER have more than one output (y)

“A independent variable is a variable (often denoted by x ) whose variation does not depend on that of another”. The independent variable is the variable the experimenter changes or controls and is assumed to have a direct effect on the dependent variable

“A dependent variable is a variable (often denoted by y ) whose value depends on that of another.” The dependent variable is the variable being tested and measured in an experiment, and is 'dependent' on the independent variable.

I hope that was understandable

-28=r/7-26 send help lauvs

Answers

Answer:

r is equal to negative 14.

Step-by-step explanation:

Help me I don't know how to find the percent of discount to the nearest percent

Find the percent of discount to the nearest percent.

skateboard: regular price, $24
sale price, $15.50


help. PLEASE.

Answers

Answer:8.5

Step-by-step explanation:

Answer:

step one

find the difference between marked price and the selling price, which is 24-15.50=8.5

step two apply the formula which is, difference divided by marked or original price and then multiple by 100

eg (8.5÷24) × 100= 35.4

so now round off to the nearest percent that's 35%

*will give brainliest*
While solving an equation, if the variable term becomes zero, and the equation makes a true statement, then the solution is (no solution, one solution, infinite solutions).

Answers

The answer is one solution I think

Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!

Answers

Answer:

4:3

Step-by-step explanation:

16:12=8:6=4:3

Answer:

4:3

Step-by-step explanation:

16 and 12 can both be divided by 4

16/4 = 4 12/4 = 3

so your simplified ratio is 4:3

Carissa earns $450 per week for a 40 hour work week plus $16.83 per hour for each hour of overtime after 40 hours. Write an equation that would be used to determine her weekly wages where, W, is her wages and, V, is the number of overtime hours worked.

Answers

Answer:

The equation that determines Carissa's weekly wages is W = 450 + 16.83 × V

Step-by-step explanation:

The given parameters are

The amount Carissa earns per week  = $450

The amount Carissa earns for each overtime hour = $16.83

Where the given variables are;

W = Her weekly wages

V = The number of overtime hours worked

Therefore, the equation that would be used to determine her weekly wages is given as follows;

W = 450 + 16.83 × V.

What is equivalent to 45/75?

Answers

The answer is 0.6

Hope that’s helps

Answer:

3/5

Step-by-step explanation:

15 / 5 = 3; 25/5 = 5 ; the answer is 3/5 or 0.6

What is the difference (4x2 - 12x +6) and (10+ 3x – 2x?)?

Answers

the answer should be 2(2-3x)

explanation: factor and simplify the expression

The difference of the expression is 6x² - 15x - 4.

What is Expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:

(Number/variable, Math Operator, Number/variable) is an expression.

We have the Expression as

(4x² - 12x + 6) and (10 + 3x -2x²)

Now, simplifying the expression

= 4x² - 12x +6 - (10 + 3x -2x²)

= 4x² -12x+ 6 -10 -3x + 2x²

= 6x² - 15x - 4

Thus, the simplified expression is 6x² - 15x - 4.

Learn more about Expression here:

https://brainly.com/question/14083225

#SPJ2

When solving an absolute value inequality, the fact of whether it is a "greater than/greater than or equal to" as opposed to "less than/less than or equal to" will change the way you solve the problem, depending on which sign it is.

True
False

Answers

Answer:

true

Step-by-step explanation:

taking the test

When solving an absolute value inequality, the fact of whether it is a "greater than/greater than or equal to" as opposed to "less than/less than or equal to" will change the way to solve. It is True.

What is inequality?

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true.

These values are called solution to that equation or inequality.

A Set of such values is called solution set to the considered equation or inequality.

When solving an absolute value inequality, the fact of whether it is a "greater than/greater than or equal to" as opposed to "less than/less than or equal to" will change the way you solve the problem, depending on which sign it is.

The given statement for inequality is True.

Learn more about inequalities here:

https://brainly.com/question/27425770

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One interior angle of a regular octagon is

Answers

Answer:

135 degrees

To find the measure of the angles, we know that the sum of all the angles is 1080 degrees (from above)... And there are eight angles... So, the measure of the interior angle of a regular octagon is 135 degrees.

The General Rule

Shape Sides Each Angle

Octagon 8 135°

Nonagon 9 140°

... ... ...

Any Polygon n (n−2) × 180° / n

What’s the slope of the line that passes through (-8, -5) and (-2, 5).

Answers

Look at the attachment for work

divide 5 divided by 1/4 ​

Answers

Answer:

20

Step-by-step explanation:

Answer: 5 is made up of 5 times 1 of 5 ×4 = 20. A more mathematical way is to actually do this as a division problem of two fractions. 5 = 5 1. so divide 5 1 by 1 4. 5 1 1 4. This is a complex fraction make it simpler by multiplying both sides by the inverse of 1/4 which is 4/1.

Step-by-step explanation: Hope This Helps!!

From: Kageyama! <3 No need to thank me, it's what I do! ^^

If f(x)=3x-4, f(-2) =10 true or false

Answers

Answer:

False

Step-by-step explanation:

plug -2 in for x. 3(-3)-4=-10 and -10 isn't 10 so false.

(can I get brainliest please)

Answer:

False

Step-by-step explanation:

f(x) = 3x-4

f(-2) = ?

Substitute -2 for x in the given equation

f(-2) = 3(-2)-4

f(-2) = -6-4

f(-2) = -10

-10= 10

FALSE

i need help passing geometry

Answers

Oh that’s so easy 6 grade math so I saw there’s no y intercept so just see where the point’s coordinates are

Solve the given system by substitution.

Answers

Answer:

(2, 8)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

r = 4s

r = 1/2s + 7

Step 2: Solve for s

Substitution

Substitute in r:                                4s = 1/2s + 7Subtract 1/2s on both sides:          7/2s = 7Divide 7/2 on both sides:              s = 2

Step 3: Solve for r

Define equation:                    r = 4sSubstitute in s:                       r = 4(2)Multiply:                                  r = 8

Answer:

s = 2

r = 8

Step-by-step explanation:

subsitution is were you plug in a systerm into the other problem

since they give you R = 4s you take 4s and plug it in were r is in the other equation (subsitution)

so now you have 4s = 1/2s+7

now you want to solve for s so your going to subtract 1/2s from both sides to cancle out the 1/2s --> 4s - 1/2s = 7 --> 3 and 1/2s = 7

now divide both sides by 3 1/2 to get s alone s = 7/3 and 1/2

s = 2

now we have s we take that and plug it into r = 4s

subsitute S as 2  --> r = 4(2)

r = 8

is j + 8 = 72 a solution

Answers

j would need to equal 64

Somebody plz help me I’m failing

Answers

since all triangles add up to 180 and the little square on the bottom left is a 90 degree angle well
180-90=90
so angle B is 80
also the person above me answered in a rude way
it’s ok everything will be fine
you’ll get your grades back up
try your best!! :)

Katherine spends $1,089 each month for rent and supplies to run her hair salon. If she has 50 cilents per month,how muck should she charge per haircut to cover her monthly expenses?

Answers

Answer:$21.78

Step-by-step explanation:

Answer:

$21.78

Step-by-step explanation:

1,089 ÷ 50 = 21.78

Question 3 (10 points)
(02.06 MC)

In the figure shown, line AB is parallel to line CD.

Part A: What is the measure of angle x? Show your work. (5 points)

Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal. (5 points)

AB and CD are parallel lines, and PQ and PR are transversals which intersect AB at P and CD at Q and R. Angle APQ is labeled as 65 degrees, angle QPR is equal to x, angle PRD is equal to 120 degrees.

Answers

Answer:

X = 53

X= 115 - 62

Step-by-step explanation:

Part A: 62 + X = 115

X= 115 - 62

X = 53

Part B:

APQ + QPR = PRD

Dont copy off of me because im not for sure  this is the right awnser            

The measure of angle x is 55.

And to get 55 you first need to find angle BPR.

So, what you would do is 180 - 120 and that equals 60.

So, this means that angle BPR is 60 degrees.

Ok, so now to find the angle of x.

You first need to do 65 + 60 + x =180.

Since we don't know the value of x, we do 65 + 60 and that gives us 125.

So, 180 - 125 = 55. 

So, X = 55.

4 ten and 17 hundredth in decimals UNSERIOUS ANSWERS REPORTED

Answers

Answer:

40.17

Step-by-step explanation:

4 ten: 4 × 10 = 40

17 hundredth: 17 × 0.01 = 0.17

4 ten and 17 hundredth in decimals: 40 + 0.17 = 40.17

b) 5z - 1
when z = 6
2

Answers

Answer:

309

Step-by-step explanation:

5z-1, z=62

5(62)-1

310 - 1

309

Here are 5 lines on a coordinate grid:

Write equations for lines a,b,c,d and e


a:

b:

c:

d:

e:​

Answers

Answer/Step-by-step explanation:

✔️Equation for line a:

Line a is a vertical line, hence, the slope is undefined. Equation of a vertical line is given as x = k. Where k is the x-intercept and would remain the same irrespective of the corresponding y-coordinates of all the other points on the vertical line.

In line a, the x-intercept is -4. Therefore, the equation for line a would be:

✅ x = -4

✔️Equation for line b:

Line b is also a vertical line, and would be represented as x = k.

The value of k is the point olwhere the line intercepts the x-axis.

Thus, k = 4.

Equation for line b would be:

✅ x = 4

✔️Equation for line c:

Line c is an horizontal line. Slope (m) of a horizontal line is always 0.

It can be represented in slope-intercept form, y = mx + b, where,

m = slope = 0

b = y-intercept = 4 (this is where the y-axis is intercepted by the line)

Thus, substitute m = 0, b = 4 in y = mx + b.

The equation for line c would be:

y = (0)(x) + 4

✅y = 4

✔️Equation for line d:

Slope (m) = 0

y-intercept (b) = -2

Substitute m = 0, and b = -2 in y = mx + b

Equation for line d awould be:

y = -2

✔️Equation for line e:

Slope (m) = [tex] \frac{rise}{run} = -\frac{3}{4} [/tex]

y-intercept (b) = 1

Substitute m = -¾, and b = 1 in y = mx + b

Equation for line e would be:

✅y = -¾x + 1

can someone helpp!!! thanks

Answers

Answer:

he is going 10 mph and the equation is 1x = 10y

Please help I’ll mark brainliest!!

Answers

Step-by-step explanation:

4x-5≥7

4x≥7+5

4x≥12

x≥12/4

x≥3

•-------------------------------------------------------------->

__________________________________________________

0 1 2 3 4 5 6 7 8 9 10

hope it helps!

If the simple interest on ​$3000 for 7 years is ​840$​, then what is the interest​ rate?

Answers

Answer:

Step-by-step explanation:

4%

what are the integers of 58

Answers

Answer:

{1,2,29,58}

Step-by-step explanation:

As the only factors of 58 are {1,2,29,58} , there are no two consecutive integers whose product is 58

Answer:

1,2,29.58

Step-by-step explanation:

:)

Hector works 10 hours per week at a part-time job. His original pay rate was $8.50 per hour, but he recently received a raise of x dollars per hour. His new total weekly pay, y, is represented by the equation y = 10(8.5 + x). If Hector earned $100 last week, what was the amount of Hector's raise per hour? A . $12.00 B .$15.00 C. $1.50 D. $3.00

Answers

Answer:

$1.50

Step-by-step explanation:

Given the total weekly pay of Hector modeled by the equation;

y = 10(8.5 + x)

We are to find the amount of Hector's raise per hour x given the total oay y = $100

Substitute y = 100 into the equation and find x  as shown;

y = 10(8.5 + x)

100 = 10(8.5+x)

100/10 = 8.5 + x

10 = 8.5 + x

x = 10 - 8.5

x = 1.5

Hence the amount of Hector's raise per hour is $1.50

I need these questions answered ASAP can you help me with 12,13,14 pls

Answers

12.) m=26
19-(-7)/-1-(-2)=26

13.) 14
8-(-20)/5-3=14

14.) -4/5 is the slope
Count rise over run and always make sure whether to add a negative based on the direction of the line. In this situation, the line is negative so there is a negative sign present.

To get to the top of the mountain, Charlie drove 6 miles east and 8 miles south. Then he hiked the rest of the way to the top which was about 2 miles high. Assuming Charlie started at (0, 0, 0), what is the total distance he traveled to the top of the mountain?

a.) 8.7 miles
b.) 12 miles
c.) 10.2 miles
d.) 16 miles​

Answers

I think it’s 16 I believe

Answer:

actually it's 10.2 miles

Step-by-step explanation:

he drove six miles at first and than 8 miles south, afterwards he hiked the rest of the way to the top.

Jarrod sports card holder can hold 9 cards on each page. How many pages will Jarrod need if he has 75 sport cards?​

Answers

Hello! Lets take a look.

To do this problem you would have to divide.

"75/9"

So what is the answer to that?

8!

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