Farmer Phil needs to treat a field with potash and nitrogen. He knows he needs 308 pounds of potash and 330 pounds of nitrogen. He can use Grow Rite brand and Great Green Brand. Grow Rite has 4 pounds of potash and 5 pounds of nitrogen per bag. Great Green has 7 pounds of potash and 6 pounds of nitrogen per bag.

Answers

Answer 1

Answer:

The number of bags of Grow Rite brand = x = 42 bags

The number of bags of Great Green brand = y = 20 bags.

Step-by-step explanation:

The number of bags of Grow Rite brand = x

The number of bags of Great Green brand = y

The equation is given as:

4x + 7y = 308....... Equation 1

5x + 6y = 330....... Equation 2

Using Elimination method.

Multiply Equation 2 by the coefficient of x in Equation 1 and Multiply Equation 1 by the coefficient of x in Equation 2

4x + 7y = 308....... Equation 1 × 5

5x + 6y = 330....... Equation 2 × 4

20x + 35y = 1540..... Equation 3

20x + 24y = 1320....... Equation 4

Subtract Equation 3 from Equation 4

11y = 220

y = 220/11

y = 20 bags

4x + 7y = 308....... Equation 1

4x + 7(20) = 308

4x + 140 = 308

4x = 308 - 140

4x = 168

x = 168/4

x = 42 bags

The number of bags of Grow Rite brand = x = 42 bags

The number of bags of Great Green brand = y = 20 bags.


Related Questions

can someone help simplify this 6n+5(10n−7)

Answers

Answer:

21n-35

Step-by-step explanation:

6n+5(10n-7)

distribute 5

6n+15n-35

add 6 and 15

21n-35

you cant subtract 21 and -35 because they arent like terms

What is the measure of angle a

Answers

Answer:

48

Step-by-step explanation:

42 + 90 = 132

180 - 132 = 48

excavation scientists excavating a dinosaur mapped the site on a coordinate plane. if one bone lies from (-5,8) to (10,-1) and a second bone lies from (-10,-3) to (-5,-6) are the bones parallel ? explain

Answers

Answer:

Tengoo

Step-by-step explanation:

Miedo

. What is the 11th term of the geometric sequence {1,000,000; 100,000; 10,000; …}?

Answers

A shortcut to doing this is to use exponential notation. 1,000,000 = 10^6...10^(6-11)...10^-5= 0.00001
0.0001

it decreases by dividing 10 each time so your answer will be 0.0001

Safety regulations require that the time between airplane takeoffs (on the same runway) will be at least 4 minutes. When taking off, the run time of an airplane on the runway is 24 seconds. Planes are on average waiting 5 minutes and 54 seconds for take-off. On average there are 12 planes taking off per hour. How many planes are either on the runway or waiting to take off?

Answers

Answer:

1 plane either on the runway or waiting to take off

Step-by-step explanation:

We are given;

Frequency of take off = 12 planes per hour = 12/60 = 0.2 planes per minute

Waiting time on runway = 5 minutes 54 seconds = 5.9 minutes

Run time on runway = 24 seconds = 24/60 minutes = 0.4 minutes

To solve this question, we will use Little's law which is given by the formula;

System inventory = rate of flow × throughput time

Now, rate of flow is the same as Frequency of take off.

Thus, rate of flow = 0.2 planes per minute

Throughput time = Waiting time on runway + Run time on runway

Thus;

Throughput time = 5.9 minutes + 0.4 minutes

Throughput time = 6.3 minutes

Thus;

System inventory = 0.2 × 6.3 = 1.26 planes

Thus is approximately 1 plane.

Given the points below, find
XY
XY
.
X(-9, 2)
X(−9,2)
and
Y(5, -4)
Y(5,−4)

Answers

Answer:

XY=(-45,-8)

Step-by-step explanation:

XY=(-9,2)(5,-4)

4. T-Bone's Math teacher requires 6 book
reports the 1st semester. T-Bone has 4
more reports to complete. How many
book reports has T-Bone already
finished?
x - 4 = 6
x + 4 = 6

Answers

Answer:

2

Step-by-step explanation:

6-4=2

Select the correct answer from each drop-down menu.

This image may be the result of the .
If m∠RQS is 75°, then m∠TPU is °. Select the correct answer from each drop-down menu.

Answers

Answer:

- construction of a line parallel to line AB through point P

∠TPU is 75°

Step-by-step explanation:

For Plato users

The image may be the result of the construction of a line parallel to line AB through point P

∠RQS is equal to ∠TPU;therefore, ∠TPU is also 75°

Answer:

below

Step-by-step explanation:

Got it right

Which statements are correct interpretations of this graph?
Select each correct answer. (multiple choice question)

A. 3 boxes are filled every 4 min.
B. 4 boxes are filled every 3 min.
C. 1.3 boxes are filled per minute.
D. 0.75 boxes are filled per minute.
(Graph down below)

Answers

Answer:

A

Step-by-step explanation:

[tex]\boxed{~ Hello!\; here's\; your \;answer!}[/tex]        

___________________________________________________________

                                                      [tex]\huge\boxed{A.}[/tex]

___________________________________________________________

           

A's Explanation...

The first point given is at 3 and 4. 3 is at "Boxes Filled" While 4 is at "Time (Min)". Therefore, your answer is A, 3 boxes are filled every 4 min.

___________________________________________________________

[tex]\boxed{Hope\;I\;helped!}\\\\\\\boxed{May\;I\;Have\;Brainliest?}\\\\\\\\\huge\boxed{Thanks,\;Plip.}[/tex]

___________________________________________________________

Please help me with this equation. It’s solving systems of equations.

Answers

Moving downstream (with the current), the boat moves at a rate of (252 mi)/(12 h) = 21 mph. Upstream (against the current), it moves at a rate of (252 mi)/(84 h) = 3 mph.

When traveling downstream, the boat's speed is the sum of its own speed in still water and the speed of the current. It's the same going upstream, but the boat and current move in opposite directions. Let b and c denote these speeds, respectively. Then

downstream: b + c = 21 mph

upstream:      b - c = 3 mph

Adding these equations eliminates c and lets us solve for b :

(b + c) + (b - c) = 21 mph + 3 mph

2b = 24 mph

b = 12 mph

Now solve for c :

12 mph + c = 21 mph

c = 9 mph

I’m not sure what this one is . Can anyone help

Answers

Answer

Im not that sure i wish i could help

Step-by-step explanation:

have a good rest of ur day :)

Answer:

105

Step-by-step explanation:

A straight line is worth 180 degrees. Therefore, if you subract the given angle (75) from 180 you will get 105.

180-75=105 degrees.

Given h(x) = 5x - 3. Find h(a + 1).
Given h(x}

Answers

Answer:

5a + 2

Step-by-step explanation:

To find h(a + 1), substitute x = a + 1 into h(x), that is

h(a + 1) = 5(a + 1) - 3

            = 5a + 5 - 3

            = 5a + 2

The answer is 5a+2 your welcome

HELP pleasee and ty to whoever does!!

Answers

Answers:
26) 50 percent chance
27) 25 percent chance
28) About 25 times
29) About 20 times

“x” means what in math equations? I’m not the best at math :/

Answers

Answer:

X is just the variable or missing edge, side, angle .etc that you are looking for

Step-by-step explanation:

the x is the missing variable.

2x + y = 12
- 3x + y = 2

Answers

the answer is y= -2/3x+4

PLEASE HELP ME IT'S DUE TODAY IF CORRECT I'LL MAKE BRAINYLIST!!!!​

Answers

Answer:

A

Step-by-step explanation:

it’s x= -3
just add 1 to each side and divide by 2

f(x) = 3x - 5 and g(x) = 5x + 8. Find 3g(x) - 2f(x).

Answers

Answer:

9x + 34

Step-by-step explanation:

3g(x) - 2f(x); f(x) = 3x - 5 & g(x) = 5x + 8.

3(5x + 8) + - 2(3x - 5) (Plug g(x) & f(x) into equation)

15x + 24 + - 6x + 10 (Use distributive property)

9x + 34 (Combine like terms) - This is as much as it can be simplified.

Solve G(x) for the given domain. Include all of your work in your final answer. Submit your solution.

G(x) = 3x 2 - 2x - 1
G(a + b) =

Answers

Answer: 3a^2+6ab+3b^2-2a-2b-1

Step-by-step explanation:

For G(x), we must plug in (a+b) into G(x):

G(a+b) = 3(a+b)^2-2(a+b)-1

= 3(a+b)(a+b)-2(a+b)-1

= factor: 3(a^2+ab+ab+b^2)- (2a+2b)-1

= multiply: 3a^2+3ab+3ab+3b^2-(2a+2b)-1

= now factor the last part: 3a^2+3ab+3ab+3b^2-2a-2b-1

= add/subtract: 3a^2+6ab+3b^2-2a-2b-1

Answer: 3a^2+6ab+3b^2-2a-2b-1

Answer:

Answer: 3a^2+6ab+3b^2-2a-2b-1

Step-by-step explanation:

For G(x), we must plug in (a+b) into G(x):

G(a+b) = 3(a+b)^2-2(a+b)-1

= 3(a+b)(a+b)-2(a+b)-1

= factor: 3(a^2+ab+ab+b^2)- (2a+2b)-1

= multiply: 3a^2+3ab+3ab+3b^2-(2a+2b)-1

= now factor the last part: 3a^2+3ab+3ab+3b^2-2a-2b-1

= add/subtract: 3a^2+6ab+3b^2-2a-2b-1

Answer: 3a^2+6ab+3b^2-2a-2b-1

Step-by-step explanation:

Create a one step equation using the numbers 4 and 6. One you create the
equation, solve it and find the solution.

Answers

Answer:

x=1.5

Step-by-step explanation:

4x=6

6/4=1.5

(19 x 10 ^5)- (5 x 10 ^5)

Answers

Answer:

1400000

1.4⋅10^6 for science notation ;)

Answer:

1400000x

Step-by-step explanation:

Polynomial factorization topic toh diba?

Which number line shows the graph of 0.3

Answers

Answer:

im dumb im sorry but u can look it up

Step-by-step explanation:


What is the pattern as the exponents decrease?

Answers

Can we see the patern please

PLease help with this question? I also need an explanation on how you got the answer

Answers

Answer:

25%

Step-by-step explanation:

1. there are 8 triangles

2. 2 twos

3. 2/8

4. 2/8=25%

You bike 11.2 miles in 1.4 hours at a steady rate. What equation represents the proportional relationship between the x hours you bike and the distance y in miles that you​ travel?

Answers

Answer:17

Step-by-step explanation:

Answer:

Y=8x

Hope this helped

Step-by-step explanation:


BRAINLIEST PLEASE JELP
What is the slope of a line perpendicular to the given line?


Answers

Answer:

4

Step-by-step explanation:

The perpendicular slope means opposite reciprocal

opposite: 1/4

reciprocal: 4

Answer:

The slope is undefined

Step-by-step explanation:

Rate me please

Find the value of x.
81°
39°
X=??


PLEaSE ILL GIVE YOU BRAINLIEST AND 15 POINTS

Answers

Answer:

It's "P"

Step-by-step explanation: Please give me my 15 points

Answer:

X= 60º

Step-by-step explanation:

If you are solving for a ∆, a ∆ has a degree of 180º. This thus when added up gets you.

81º + 39º = 120º

180º - 120º = 60º

Therefore in conclusion, X would be 60º.

A nursery owner buys 9 panes of glass to fix some damage to his greenhouse. The 9 panes cost ​$22.05 ​Unfortunately, he breaks 4 more panes while repairing the damage. What is the cost of another 4 panes of​ glass?

Answers

Answer: $9.80

Step-by-step explanation:22.05/9=2.45x4= 9.80

Answer:

$4.30

Step-by-step explanation:

Two panes of glass cost $4.30.

Explanation

First find the cost of one pane of glass (the "unit cost")

7 panes of glass cost

$

15.05

, so one pane of glass costs

15.05

÷7∩

$2.15 ← cost of one pane of glass

Then use that answer to find the cost of two panes of glass

If one pane of glass costs $2.15, then 2 panes cost 2× $2.15 $4.30 ← cost of two panes of glass

Answer:

Two panes of glass cost $4.30.

What the solution for x is in 14+x=3a+ab?

Answers

Answer: a= x+14 /b+3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Simplifying

14 + x = 3a + ab

Solving

14 + x = 3a + ab

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-14' to each side of the equation.

14 + -14 + x = 3a + -14 + ab

Combine like terms: 14 + -14 = 0

0 + x = 3a + -14 + ab

x = 3a + -14 + ab

Reorder the terms:

x = -14 + 3a + ab

Simplifying

x = -14 + 3a + ab

Which of the following ratios is not 4:9
8 : 18
12 : 36
20 : 45
16 : 36

Answers

Answer:

I think 12 : 36 I not so sure though

f(x) = 3x - 8 and g(x) = -x - 4. Find (f + g)(x) and (f + g)(5).

Answers

Answer:

(f+g)(x) = 3x - 8 -x -4

(f+g)(x) = 2x-12

(f+g)(5) - substitute 5 into x

(f+g)(5) = 2(5)-12

(f+g)(5) = 10-12

(f+g)(5) = -2

Step-by-step explanation:

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