A farmer buys several gallons, g, of fertilizer for $8.25 each and an irrigation unit for $65. He spends a total of $683.75. Write an equation that would help you determine the number of gallons of fertilizer the farmer bought.

Answers

Answer 1
8.25g + 65 = 683.75
Solve for g to find number of gallons
Answer 2

Answer:

Step-by-step explanation:

8.25(g)+65=683.75


Related Questions

Gumballs cost $0.50 each, and jawbreakers cost $0.30 each. Bob has $3.00 to spend on candy. Create an inequality that represents the number of gumballs and jawbreakers Bob can buy.

Answers

Answer:8 gumballs 3 jaw breakers

Step-by-step explanation:

Using an inequality to represent the expression and it's constraint, the required expression would be 0.50g + 0.30j ≤ 3

Given the Parameters :

Gumball cost, g = $0.50Jawbreaker cost, j = $0.30Maxumum amount to spend = $3.00

(Cost of gumball × number of gumballs + Cost of Jawbreaker × number of gumbreakers) maximum cost

0.50g + 0.30j ≤ 3

Hence, the required inequality expression is 0.50g + 0.30j ≤ 3

Learn more : https://brainly.com/question/13976112

what is the range of the function f(x)=-8x+13 when the domain is (-2,0,3)?

Answers

Answer:

The complete set of domain (x) and range values (y) is given by:

x                   y

-2                39

0                 13

3                  11

Step-by-step explanation:

Considering the function

[tex]f(x)=-8x+13[/tex]

As we know that the range of a function consists of the entire set of all possible resulting values of the dependent variable commanly called y or f(x), once we have substituted the domain.

Now

As the x values are -2, 0, and 3. So, the domain interval is (-2,0,3).

Putting x = -2 in f(x) to determine the range for the value x = -2

[tex]f(x)=-8x+13[/tex]

[tex]f(-2)=-8(-2)+13=16+13=39[/tex]

Putting x = 0 in f(x) determine the range for  the value x = 0

[tex]f(x)=-8x+13[/tex]

[tex]f(0)=-8(0)+13=0+13=13[/tex]

Putting x = 0 in f(x) determine the range for the value x = 3

[tex]f(x)=-8x+13[/tex]

[tex]f(3)=-8(3)+13=-24+13=11[/tex]

Therefore, the complete set of domain (x) and range values (y) is given by:

x                   y

-2                39

0                 13

3                  11

5x-9y=17 solve for y

Answers

Answer: y=17-5x/-9

Step-by-step explanation: 5x-9y=17

-9y=17-5x

Y=17-5x/-9

You can’t go any further than that because you can’t combine unlike Terms on the right side of the equation.

HELP IT'S URGENT.
Please show workings.
No 4 (see image)

Answers

Answer:

(i) (b² - 2ac)/c²(ii) (3abc - b³)/a³

Step-by-step explanation:

α and β are the roots of the equation:

ax² + bx + c = 0

Sum of the roots is:

α + b = -b/a

Product of the roots is:

αβ = c/a

Solving the following expressions:

(i)

1/α² + 1/β² =(α² + β²) / α²β² =((α + β)² - 2αβ) / (αβ)² = ((-b/a)² - 2c/a) / (c/a)² = (b²/a² - 2c/a) * a²/c² = b²/c² - 2ac/c² =(b² - 2ac)/c²

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

(ii)

α³ + β³ =(α + β)(α² - αβ + β²) =(α + β)((α + β)² - 3αβ) = (α + β)³ - 3αβ(α + β) =(-b/a)³ - 3(c/a)(-b/a) =-b³/a³ + 3bc/a²= 3abc/a³ - b³/a³=(3abc - b³)/a³

[tex] \huge \underline{\tt Question} :[/tex]

If α and β are the roots of the equation ax² + bx + c = 0, where a, b and c are constants such that a ≠ 0, find in terms of a, b and c expressions for :

[tex] \tt \dfrac{1}{\alpha ^2} + \dfrac{1}{\beta ^2}[/tex]α³ + β³

[tex] \\ [/tex]

[tex] \huge \underline{\tt Answer} :[/tex]

[tex] \bf \dfrac{1}{\alpha ^2} + \dfrac{1}{\beta ^2} = \dfrac{b^2 - 2ac}{c^2 }[/tex][tex] \bf \alpha ^3 + \beta ^3 = \dfrac{ - b^3 + 3abc}{a^3}[/tex]

[tex] \\ [/tex]

[tex] \huge \underline{\tt Explanation} :[/tex]

As, α and β are the roots of the equation ax² + bx + c = 0

We know that :

[tex] \underline{\boxed{\bf{Sum \: of \: roots = \dfrac{- coefficient \: of \: x}{coefficient \: of \: x^2}}}}[/tex][tex] \underline{\boxed{\bf{Product \: of \: roots = \dfrac{constant \: term}{coefficient \: of \: x^2}}}}[/tex]

[tex] \tt : \implies \alpha + \beta = \dfrac{-b}{a}[/tex]

and

[tex] \tt : \implies \alpha\beta = \dfrac{c}{a}[/tex]

[tex] \\ [/tex]

Now, let's solve given values :

[tex] \bf \: \: \: \: 1. \: \dfrac{1}{\alpha ^2} + \dfrac{1}{\beta ^2}[/tex]

[tex] \tt : \implies \dfrac{\beta ^2 + \alpha ^2}{\alpha ^2 \beta ^2}[/tex]

[tex] \tt : \implies \dfrac{\alpha ^2 + \beta ^2}{\alpha ^2 \beta ^2}[/tex]

[tex] \\ [/tex]

Now, by using identity :

[tex] \underline{\boxed{\bf{a^2+ b^2 = (a+b)^2 -2ab}}}[/tex]

[tex] \tt : \implies \dfrac{(\alpha + \beta)^2 - 2 \alpha\beta}{(\alpha\beta)^2}[/tex]

[tex] \\ [/tex]

Now, by substituting values of :

[tex] \underline{\boxed{\bf{\alpha + \beta = \dfrac{-b}{a}}}}[/tex][tex] \underline{\boxed{\bf{\alpha\beta = \dfrac{c}{a}}}}[/tex]

[tex] \tt : \implies \dfrac{\Bigg(\dfrac{-b}{a}\Bigg)^2 - 2 \times \dfrac{c}{a}}{\Bigg(\dfrac{c}{a}\Bigg)^2}[/tex]

[tex] \tt : \implies \dfrac{\dfrac{b^2}{a^2} - \dfrac{2c}{a}}{\dfrac{c^2}{a^2}}[/tex]

[tex]\tt : \implies \dfrac{\dfrac{b^2}{a^2} - \dfrac{2ac}{a^{2} }}{\dfrac{c^2}{a^2}}[/tex]

[tex]\tt : \implies \dfrac{\dfrac{b^2 - 2ac}{a^2 }}{\dfrac{c^2}{a^2}}[/tex]

[tex]\tt : \implies \dfrac{b^2 - 2ac}{\cancel{a^2} } \times \dfrac{ \cancel{a^2}}{c^2}[/tex]

[tex]\tt : \implies \dfrac{b^2 - 2ac}{c^2 }[/tex]

[tex] \\ [/tex]

[tex] \underline{\bf Hence, \: \dfrac{1}{\alpha ^2} + \dfrac{1}{\beta ^2} = \dfrac{b^2 - 2ac}{c^2 }}[/tex]

[tex] \\ [/tex]

[tex] \bf \: \: \: \: 2. \: \alpha ^3 + \beta ^3 [/tex]

[tex] \\ [/tex]

By using identity :

[tex] \underline{\boxed{\bf{a^3+ b^3 = (a+b)(a^2 -ab + b^2)}}}[/tex]

[tex] \tt : \implies (\alpha + \beta)(\alpha ^2 - \alpha\beta + \beta ^2)[/tex]

[tex] \tt : \implies (\alpha + \beta)(\alpha ^2 + \beta ^2 - \alpha\beta)[/tex]

[tex] \\ [/tex]

By using identity :

[tex] \underline{\boxed{\bf{a^2+ b^2 = (a+b)^2 -2ab}}}[/tex]

[tex] \tt : \implies (\alpha + \beta)(\alpha + \beta)^2 -2 \alpha\beta - \alpha\beta)[/tex]

[tex] \tt : \implies (\alpha + \beta)((\alpha + \beta)^2 -3 \alpha\beta)[/tex]

[tex] \\ [/tex]

Now, by substituting values of :

[tex] \underline{\boxed{\bf{\alpha + \beta = \dfrac{-b}{a}}}}[/tex][tex] \underline{\boxed{\bf{\alpha\beta = \dfrac{c}{a}}}}[/tex]

[tex] \tt : \implies \Bigg(\dfrac{-b}{a}\Bigg)\Bigg( \bigg(\dfrac{-b}{a} \bigg)^2 -3 \times \dfrac{c}{a}\Bigg)[/tex]

[tex] \tt : \implies \Bigg(\dfrac{-b}{a}\Bigg)\Bigg(\dfrac{b^2}{a^2} - \dfrac{3c}{a}\Bigg)[/tex]

[tex]\tt : \implies \Bigg(\dfrac{-b}{a}\Bigg)\Bigg(\dfrac{b^2}{a^2} - \dfrac{3ac}{a^{2} }\Bigg)[/tex]

[tex]\tt : \implies \Bigg(\dfrac{-b}{a}\Bigg)\Bigg(\dfrac{b^2 - 3ac}{a^2} \Bigg)[/tex]

[tex]\tt : \implies \dfrac{-b}{a} \times \dfrac{b^2 - 3ac}{a^2} [/tex]

[tex]\tt : \implies \dfrac{ - b(b^2 - 3ac)}{a \times a^2} [/tex]

[tex]\tt : \implies \dfrac{ - b^3 + 3abc}{a^3} [/tex]

[tex] \\ [/tex]

[tex] \underline{\bf Hence, \: \alpha ^3 + \beta ^3 = \dfrac{ - b^3 + 3abc}{a^3}}[/tex]

f(x)=3x-4 and g(x) = x2 find the value of f(3)-g(2)

show all work

Answers

Answer: 1

f(x) = 3x - 4 => f(3) = 3.3 - 4 = 9 - 4 = 5

g(x) = x² => g(2) = 2² = 4

=> f(3) - g(2) = 5 - 4 = 1

Step-by-step explanation:

How do I solve this please help me Im failing Algebra1
-2x+1<7

Answers

Answer:

x > -3

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Alg I

Equality Properties

Step-by-step explanation:

Step 1: Define inequality

-2x + 1 < 7

Step 2: Solve for x

Subtract 1 on both sides:          -2x < 6Divide both sides by -2:            x > -3

Here we see that any value greater than -3 would work as a solution of x.

Answer:

x>-3

Step-by-step explanation:

First, isolate the variable. So, move the 1 onto the other side.

Because signs change when moved to the other side, + becomes - .

Then, subtracte. 7-1=6.

DIvide both sides by -2.

-2x/-2 is x, and 6/-2 is -3.

So, x>-3

Which system is equivalent to StartLayout Enlarged left-brace 1st Row 3 x squared minus 4 y squared = 25 2nd row negative 6 x squared minus 2 y squared = 11 EndLayout

Answers

Answer:

second option :)

Step-by-step explanation:

Answer:

B.

StartLayout Enlarged left-brace 1st Row 3 x squared minus 4 y squared = 25 2nd row negative 12 x squared + 4 y squared = 22 EndLayout

Step-by-step explanation:

A little girl counts using the fingers of her left hand as follows: She starts by calling her thumb 1, the first finger 2, middle finder 3, ring finger 4, and little finger 5. Then she reverses direction, calling the ring finger 6, middle finger 7, first finger 8 and thumb 9, after which she calls her first finger 10 and so on. If she continues to count in this manner, on which finger will she stop?
a) What if the girl counts from 1 to 10?
b) What if the girl counts from 1 to 100?
c) What if the girl counts from 1 to 1000?

Answers

Answer:

(a) Index finger

(b) Ring finger

(c) Index finger

Step-by-step explanation:

Taking thumb as standard for the question.

Thumb series 1 , 9 , 17 ,25, 33......

general term for this

a(n) = 1 + (n-1)8

      = 1 + 8n -8

       = 8n -7

(a) For 1 to 10

     8n -7 = 10

     8n = 16+1 (remainder)

so the thumb is for 9 and the next is index finger.

10th = index finger.

(b) for 1 to 100

    8n - 7 = 100

      8n= 107

     107 = 13x 8 + 3(remainder)

so the third finger from thumb is Ring finger

100th = Ring finger

(c) 8n - 7 = 1000

   8n = 1007      

 1007= 125x8 +7 (remainder)

so the 7th finger next to thumb is Index finger

1000th = index finger

Help I need an answer as soon as possible

Answers

Answer:

charlie is the one,im pretty sure

What is the solution to this system of linear equations?x + y = 4x − y = 6

Answers

Answer: its C

Step-by-step explanation: i took the test <3

Answer:

The answer is (5,-1)

Step-by-step explanation:

Dont forget to hit that Brainliest button!

As an estimation we are told 5 miles is 8 km. 
Convert 60 km to miles.​

Answers

Answer:

37.5 miles

Step-by-step explanation:

We can find the rate of conversion by dividing kilometers by miles. 5÷8=1.6, so 1.6 km = 1 mile. Now we can divide 60 by 1.6 to find miles.

[tex]60/1.6=37.5[/tex]

Hope this helped!

Answer:

96 km

Step-by-step explanation:

I try it its 96 km

Trust me

Find all polar coordinates of point P where P = (9,pi divided by 5).

Answers

Answer:

(-9, π/5 + (2n + 1)π)

Step-by-step explanation:

Adding any integer multiple of 2π to the direction argument will result in full-circle rotations, which are identities, so this family is equivalent to the give coordinates:

(9, π/5 + 2nπ), for any integer n

Also, multiplying the radius by -1 is a point reflection, equivalent to a half-turn rotation. Then add π to the direction for another half turn, and the result is another identity. So this too is equivalent to the given coordinates:

(-9, π/5 + (2n + 1)π), for any integer n

pls help quickly thank you

Answers

Answer: $637

Step-by-step explanation:

PLEASE HELP!! I have asked this many times with no answers I really need help.
What is the direction, y-intercept, and zeroes of f(x) = 4x^2 + 10x + 12.

Answers

I think to find the y-intercept, substitute 0 for x and sole for y. Y- intercepts (0, -12). The roots (zeroes) are the value where the graph intersects the x-axis. To find the the zeroes, replace y with 0 and solve for x. x = 3, -4. I’m sorry if this is wrong.

The direction of f(x) = 4x² + 10x + 12 is in upward direction.

y intercept of the f(x) is (0,, 12).

And number of zeros in f(x) is 2, at x = -5/4 + (√23 / 4)i  and  -5/4 - (√23 / 4)i.

What is function?

Function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.

The given function is,

f(x) = 4x² + 10x + 12.

The coefficient of x² is 4 which is positive, therefore, the graph is in the upward direction.

To find y intercept of the function,

Substitute x = 0, in the function,

f(x) = y = 4 (0)² + 10 (0) + 12

y = 12

The y intercept of the function is (0, 12).

To find the number of zeros, Substitute f(x) = 0,

Implies that,

4x² + 10x + 12 = 0

The values of x for the given quadratic equation are,

x =-5/4 + (√23 / 4)i and x =-5/4 - (√23 / 4)i

The number of zeros is two at -5/4 + (√23 / 4)i  and  -5/4 - (√23 / 4)i.

To know more about Function on:

https://brainly.com/question/2411204

#SPJ2

what is the slope of the line through the point (-4,6) and (-3,-1)?
a. -2/1
b. -7/1
c. -1/2
d. -1/7

Answers

Answer:

B.) -7/1

Step-by-step explanation:

Finding the slope we use: y2 - y1/x2 - x1

m = -1 - 6/-3 - (-4)

m = -7/-3 + 4

m = -7/1

Function or not a Function?

Answers

It’s not a function because it doesn’t pass the vertical line test.

PLEASE HELP! Ann needs to buy plastic forks. Brand A has a box of 25 forks for $2.12. Brand B has a box of 72 forks for $5.09 .
Find the unit price for each brand. Then state which brand is the better buy based on the unit price.

Round your answers to the nearest cent. And thank you if you answer this I really need the answer.

Answers

Answer:

To find the price per spoon of brand A, divide the cost by the amount of spoons:

1.99 / 25 = 0.0796

Repeat this process for brand B:

3.89 / 42 = 0.0926

Brand A, at $0.08 a unit, is the better buy of brands A and B.

Can 4 24/35 be simplified? Please answer right away! Need an answer right away!

Answers

Answer:

no

Step-by-step explanation:

You are school supply shopping in together as a package of six pencils for $2.70 how much does each pencil cost

Answers

Answer:

0.45 cents

Step-by-step explanation:

We know that 6 pencils = $2.70, so to find out the price of 1 pencil we just divide $2.70 by 6.

2.70 ÷ 6 = 0.45

Therefore each pencil costs $0.45

I hope this helps, have a great day! :)

A bouquet contains 6 roses and 9 daisies. This represents 75% of the flowers in the bouquet. How many total flowers are in the bouquet? this is actually confusing me please help

Answers

Answer:

20 total flowers

Step-by-step explanation:

9+6=15.

20/4=5

5*3=15

The answer is 20 total flowers.

Which division problem does the model below show?
1
1
1
1
1
1
1
1
1
8
1
8
1
6
5
1
1
1
1
1
1
1
1
6
ö
1
6
fo
-lo
1
6
Ok



Answers

Answer:

4÷1/6=24

Step-by-step explanation:

solve for the variable x+9=12

Answers

Answer:

Step-by-step explanation:

subtract 9 from both sides

x=3

Answer: x = 3

Step-by-step explanation: x = 12 - 9

Please help
D») 5. Carlos opens a savings account with a deposit of $1,000. The account earns
interest at a rate of 2% per year. Let A(1) denote the amount of money (in
dollars) that is in the account tyears after the account is opened. The
equation below displays the relationship between A(t) and t.

A(1) = 1,000 + 20+

Carlos will not close his account before $1,500 is present. Which of the
following intervals contains all the possible number of years after opening his
account that Carlos could close it?

Answers

Step-by-step explanation:

a is the correct not sure though

Answer:Carlos will not close his account before $1,500 is present. Which of the

following intervals contains all the possible number of years after opening his

account that Carlos could close it?

Step-by-step explanation:

Sandra worked 6 hours on Wednesday, 5 hours on Thursday, and 4 hours on Friday. What is the mean number of hours she worked over the three-day period? A 2 h B 3 h C 4 h D 5 h

Answers

Answer:

The mean should be D. 5

Step-by-step explanation:

The mean means the average which in this order (4, 5, 6) The direct middle is 5, making it the average since there are only 3 numbers in the first place.

You can mark out A (2) and B (3) instantly because they are lower than any of beginning numbers, and it's not C (4) as 'mean' doesn not mean the lowest, which leaves you with D (5)

May I have brainliest please? :)

what is 2 1/9 x 1 1/2

Answers

Answer:

3.16

Step-by-step explanation:

Hope this helps!

If you bought a stock last year for a price of $147, and it has risen 17.9% since then, how much is the stock worth now, to the nearest cent

Answers

Answer:

This is an percentage question, meaning you have to calculate the percentage rise.

1) Do 147 * 17.9% (Which equals to 26.3 [1.d.p.])

2) 26.3 is the answer

Hope it helps! :D

giving brainly
what is the equation of the line in slope intercept form

Answers

Answer:

y=-4/3x-60

Step-by-step explanation:

Answer:

y=-4/3x-60

Step-by-step explanation:

The line intercepts -60 and the slope by using a slope triangle, for y it was from -20 to 20 so 40 units difference, and for x it was -30 to -60 so 30 unit difference. 40/-30 simplified = -4/3

Which equation represents a line that is parallel to the x-axis, is perpendicular to the y-axis, and has a slope of 0?
A.
[tex]y = \frac{4}{5} x + \frac{5}{4} [/tex]

B.
[tex]y = \frac{5}{4} x[/tex]

C.
[tex]y = \frac{4}{5} [/tex]

D.
[tex]x = \frac{5}{4} [/tex]

Answers

Answer:

C

Step-by-step explanation:

The equation of a line parallel to the x- axis ( slope of 0 ) and perpendicular to the y- axis has equation

y = c

where c is the value of the y- coordinates the line passes through.

The only equation in this form is

y = [tex]\frac{4}{5}[/tex] → C

What is the bottom one? One in blue? Please help worth a lot of points.

Answers

Step-by-step explanation:

it's blurry i can't clearly see

Answer:

-7/8

Step-by-step explanation:

change the denominator and numerator of -1/2 by multiplying both by 4.

Then you get -4/8 instead of -1/2. This allows you to then subtract the -3/8 with -4/8 which equals -7/8.

This one is too much for me hhh, please answer it when you have time! THANK YOU!!

Match the following rational expressions that corresponds the letter of the correct answer.

Answers

Answer:

1.C

2.K

3.E

4.G

5.I

6.A

7.H

8.B

9.L

10.D

Step-by-step explanation:

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