A farmer applies different fertilizer to his wheat crops to see which will make his plants grow the highest.
What is the independent variable?

The teacher spend some amount on buying costumes and microphones for 6 cast members.

GiveN:

Let's frame the equation. Total money is the total amount spent for 6 cast members.

Money spent on costumes = $38 × 6

Money spent on microphone = $c × 6

Equation:

[tex]6 \times 38 + 6 \times c = 354[/tex]

Taking 6 as common,

[tex]6(38 + c) = 354[/tex]

Dividing 6 from both sides,

[tex] \dfrac{6(38 + c)}{6} = \dfrac{354}{6} [/tex]

[tex]38 + c = 59[/tex]

Solving further,

[tex]38 + c - 38 = 59 - 38[/tex]

[tex]c = 21[/tex]

So, the cost of each microphone = $21

The teacher spent this much on each microphone.

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The teacher spent  $21 on each microphone.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

The total amount of teachers have = $354

Cost of costume for all 6 members ;

6 × 38 = $228

Cost of microphone for all 6 members ;

6 × c = 6c

Now,

Cost of microphone  + Cost of costume =  total amount

6c + 228 = 354

6c = 126

c = 21

Hence "The teacher spent  $21 on each microphone".

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Answer:

Step-by-step explanation:

2(7) + 2w = 46

14 + 2w = 46

2w = 32

w = 16 is the width of the park

Answer: Substitution

Step-by-step explanation:

GIVEN:

y=3x

2x+4y=12

Then, 2x+4(3x)=12

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

Substitution: replacing one variable in terms of another variable.

As we can see from the given aspects, y=3x, and the conclusion expression has no y instead of 3x. This means it represented y in terms of x, which fits the definition of substitution that replaces one variable.

Hope this helps!! :)

Answer: 45 Seconds

Step-by-step explanation: Because if you do 3/4=0.75 or 75%. Knowing that a minute is 60 seconds long. 75% of 60 is 45 Seconds.

Hope this helped!

Answer:

y =1

Step-by-step explanation:

6(2y−9)=-42

Divide each side by 6

6/6(2y−9)=-42/6

2y -9 = -7

Add 9 to each side

2y -9+9 = -7+9

2y =2

Divide by 2

2y/2 = 2/2

y =1

Answer:

It would be 125 spread in each square yard.

Step-by-step explanation:

Answer:

Alicia!

Step-by-step explanation:

-150 is closer to the number 0 than -250 or 300. :D

Answer:

Step-by-step explanation:

In this problem, we are to model the equation for the total cost of producing a phone

Given that the fixed cost is $600

Also, the total cost of producing 4 phones in a day is $1600

hence the cost of producing 1 phone would be 1600/4= $400

the equation for producing p phones would be

C= 400P+ 600

This equation is the same as the equation of a straight line Y=mx+c

with C=y

400= m= gradient

P=x, the dependent variable

600= c the constant term.

Answer:

c=250+600

Step-by-step explanation:

Answer:

2x+2y+z

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

30-24= 6

so when she sold them she had 6 left over

it says she sold one third so we need to find out that 6 is a third of what

to find that out now we multiply 6x3=18

jill had 18 books to start out with

Answer:

No the answer is 35! :)

Step-by-step explanation:

Answer:

The Answer is Thirty five

Step-by-step explanation:

So you would multiply five by seven and get Thirty Five

Answer:

Step-by-step explanation:

f(g(x))

g(x) = 7x -4

f(7x - 4) = 2(7x - 4) + 15 = 14x - 8 + 15 = 14x + 7

Answer: 0 = 0

Step-by-step explanation: there is no solution  

Answer:

60

Step-by-step explanation:

Answer:

There should be a little keyhole behind the steering wheel put your key in it and turn it to the right

Answer:

a = [tex]\frac{d - c}{b}[/tex]

Step-by-step explanation:

ab + c = d

     - c        - c

ab = d - c

divide both sides by b

a = [tex]\frac{d - c}{b}[/tex]

I hope this helps!!

Answer:

a=d-c/b

Step-by-step explanation:

ab+c=d

ab=d-c

a=d-c/b

Answer:

KL= 63

Step-by-step explanation:

JK=7x+9 , JL=114 , KL=9x+9 ( if the points are on the same line and point J at the end point and K in the middle)

*J_______________________K___________________________L

JL=JK+KL

114=7x+9+9x+9

114-18=16 x

16x=98

x=98/16=6

KL= 9x+9

KL=9(6)+9

KL= 63

Answer:

8/10

Step-by-step explanation:

Step 1:

7 2/10 × 1/9

Step 2:

72/10 × 1/9

Answer:

8/10

Hope This Helps :)

7.2 times 1/9 is 0.8

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator.

Given:

7.2 times 1/9

=7.2* 1/9

=72/10* 1/9

=8/10

=0.8

Hence, 7.2 times 1/9 is 0.8

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Answer:

.25 or 1/4

Step-by-step explanation:

Answer:

hello your answer is 36

Step-by-step explanation:

hope i helped

Answer:

3

Step-by-step explanation:

add all numbers

Answer:3

Step-by-step explanation:

Option a. z

Because in z it represents 5/8 + 3/8 + 1/8.

Look at the color in z .

Answer: x = 2y

Step-by-step explanation:

Let's solve for x.

2(3x+4y)=4x+12y

Step 1: Add -4x to both sides.

6x+8y+−4x=4x+12y+−4x

2x+8y=12y

Step 2: Add -8y to both sides.

2x+8y+−8y=12y+−8y

2x=4y

Step 3: Divide both sides by 2.

2x

2

=

4y

2

x=2y

Answer:

x=2y

Solve for x

2 ( 3x + 4y ) = 4x + 12y

6x + 8y = 4x + 12y

6x + 8y - 4x = 12y

2x + 8y = 12y

2x = 12y - 8y

2x = 4y

2x / 2 = 4y / 2

x = 4y / 2

x = 2y

Sorry if I'm wrong

Answer:

-4

Step-by-step explanation:

Answer:

d) m<ADC=44°

Step-by-step explanation:

7x-19=9x-37

-19+37=9x-7

18=2x

x=9

m<ADC=9x-37=9(9)-37=81-37=44

Step-by-step explanation:

Your answer would be D) 44°