If you are buying $48 worth of two types of lawn seed. Ryegrass lawn seed sells for $0.70 per pound and Fescue lawn seed sells for $1.15 per pound. If you bought 25 pounds of Fescue lawn seed, write a linear equation in standard to find any amount of Ryegrass lawn seed purchased. (ax + by = c)

Answers

Answer 1

The amount of Ryegrass lawn seed purchased is 27.5 pounds and the linear equation formed is 0.70x + 28.75 = 48.

Linear Equation

The equation whose variables have the highest power as 1 is known as a linear equation.

How to write the linear equation for the given situation?

First, let us assume that the amount of Ryegrass lawn seeds purchased is x pounds.

The cost of Ryegrass lawn seeds is $0.70 per pound.

So, the cost of all the Ryegrass lawn seeds purchased is $0.70x.

The amount of Fescue lawn seeds purchased is 25 pounds.

And the cost of Fescue lawn seeds is $1.15 per pound.

So, the cost of all the Fescue lawn seeds purchased is,

= $1.15 x 25

= $28.75

And the total cost of buying the two types of lawn seeds is $48.

So, we can write the linear equation as,

0.70x + 28.75 = 48

Solving the linear equation for x, we get

0.70x = 48 - 28.75

0.70x = 19.25

x = 19.25/0.70

x = 27.5

Hence, the amount of Ryegrass lawn seed purchased is 27.5 pounds.

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Related Questions

A 34-year-old woman has a maximum heart rate of 175 bpm. She plans an exercise program so that her heart rate will be between 80% and 90% of her maximum heart rate for at least 30 minutes a day, 3 days a week. Calculate the desired range of heart beats per minute for this exercise program

Answers

Answer:

The desired range is from 141 bpm to 157 bpm

Step-by-step explanation:

Given that the maximum heart rate = 175 bpm.

She plans an exercise program to reach the desired heart rate which is in the range of 80% and 90% of the maximum heart rate.

So, the lower limit of the desired heart rate = 80% of the maximum heart rate

=\frac{80}{100}\times 175= 140 bpm

and the upper limit of the desired heart rate = 90% of the maximum heart rate

=\frac{90}{100}\times 175= 157.5 bpm

So, mathematically, the desired range is between 140 bpm and 157.5 bpm.

The heart-beats per minute should be a counting number, so, round the upper limit to the lower integral value to be within the range.

Hence, the desired range is from 141 bpm to 157 bpm.

How much time will it take for a bug to travel 10 meters across the floor it is traveling at
a rate of 2 m/s?

Answers

Answer:

5 seconds

Step-by-step explanation:

First let's use the equation.

D (Distance) = Speed (s) x Time (t)

Now let's find the components given in the problem.

Distance = 10 meters

Speed = 2 m/s

Now let's substitute the values in.

10 = 2t

Now let's solve for t.

10 = 2t

t = [tex]\frac{10}{2}[/tex]

t = 5

Therefore, it will take 5 seconds.

Hope this helped! If not, please let me know! <3

Jill is building a wooden raised bed garden for her vegetable she wants the frame to have dimension X feet by X +3 feet if she wants the garden to have a maximum area of 50 ft.² what are the possible values of X

Answers

Answer: 0ft < X ≤ 5.73ft

Step-by-step explanation:

In this case, we have a rectangle.

For a rectangle of length L and width W, the area is:

A = L*W.

And we have:

L = X

W = X  + 3ft.

Then the area will be:

A = X*(X + 3ft) = X^2 + 3ft*X.

And we want to have a maximum area of 50ft^2.

Then we can write:

A = X^2 + 3ft*X ≤ 50ft^2

Now let's solve this for X.

Now, the first thing we can see is that both coefficients in our quadratic equation are positive, so as the absolute value of X increases, also does the whole equation.

Then makes sense start for the upper limit of X, this is when:

X^2 + 3ft*X = 50ft^2.

Now we can solve the quadratic equation:

X^2 + 3ft*X - 50ft^2 = 0

Applying the Bhaskara formula, the solutions are:

[tex]X = \frac{-3ft +- \sqrt{(3ft)^2 - 4*1*(-50ft^2)} }{2} = \frac{-3ft +-14.46ft }{2}[/tex]

Then we have two solutions:

X = (-3ft - 14.46ft)/2 = -8.73 ft.

X = (-3ft + 14.46ft)/2 = 5.73 ft

Because X represents a distance, it can only be positive, then we must select the option X = 5.73ft.

This is the maximum value of X, and we will have:

0ft < X ≤ 5.73ft

Where the lower limit is there because we can not have X = 0ft, as this does not have physical meaning.

Asking for the answer to this algebra problem please! Tysm!

Answers

Answer:

b

Step-by-step explanation:

i did the math

what is 65 + 4 1 grade math class

Answers

Answer:

106

Step-by-step explanation:

Answer:

69

Step-by-step explanation:

write an equation of the parabola in intercept form that passes through (14,4) with x intercepts of 12 and -6​

Answers

Answer:

i need the answer to pleasee... asnwer this question

Which equation has no solutions?
1. 2(x + 3) = 3(2x + 2)
2. -x + 3 + 5x = 4x + 3
3. 2(2x – 10) + 32 = 4(x+3)
4. 3(5x + 4) – 20 = 15x -4

Answers

Answer:

4. 3(5x+4)-20=15x-4 has no solution

Step-by-step explanation:

3(5x+4)-20 = 15x - 4

15x-8=15x-4

15x = 15x+4

0=4

No Solution

Answer:

3(5x + 4) – 20 = 15x -4

Step-by-step explanation:

2x + 6 = 6x + 6 One solution 4x = 0

4x + 3 = 4x + 3 infinite solutions

4x + 12 = 4x + 12 infinite solutions

15x - 8 = 15x - 4 no solutions -8 ≠ -4

I solved the problems ahead of time if you need the work tell me.

No solution would mean that there is no answer to the equation. It is impossible for the equation to be true no matter what value we assign to the variable. Infinite solutions would mean that any value for the variable would make the equation true. Note that we have variables on both sides of the equation.



Find the Error A large box of spaghetti noodles contains 3 pounds and costs $2.40. A student said the unit cost is $1.20 per pound. Complete
the statement to explain why the student was incorrect and find the correct answer.
The student found the unit cost for 2 pounds of noodles, not 3 pounds. To find the unit cost for 3 pounds, divide the total cost, $ _______
by the number of pounds, _______
So, the cost per pound is $ _______

Answers

Answer: A) $2.40 B) 3 C) $0.80

A, B, and C are in order of the blanks.

Answer:

The student found the unit cost for 2 pounds of noodles, not 3 pounds. To find the unit cost for 3 pounds, divide the total cost, $2.40

by the number of pounds, 3 lbs

So, the cost per pound is $0.80

Step-by-step explanation:

2.40 divided by 3 is $0.80

I hope this helped, please mark Brainliest, thank you!

PLEASE HELP THIS IS DUE IN 6 MinUTES

Answers

Bruh u gotta put the text

Write in slope-intercept form with the given information. Show all work. Passes through (-8,3) with a slope of -2

Answers

Answer:

y=-2x-13

Step-by-step explanation:

y=mx+b

3=-2(-8)+b

3=16+b

3-16=b

-13=b

If you know that the product (x) of two powers is 15^13 and the quotient (÷) of the same two powers is 5, what could the two powers be? How could you verify your answer?​

Answers

Answer:

if u get it pls tell me

Step-by-step explanation:

Which graph below has an x-intercept of (6, 0) and a y-intercept of (0, 4)

Answers

All you have to do is plot the points on the graph and then draw a line for the points to meet each other.

what is the relationship between the radius and diameter of a circle?

Answers

The Radius is the distance from the center outwards. The Diameter goes straight across the circle, through the center.

The relationship between the radius and diameter of a circle is that the diameter is twice the length of the radius.

In other words, the diameter of a circle is equal to 2 times the radius. Mathematically, this relationship can be expressed as:

Diameter (D) = 2 * Radius (r)

This relationship is consistent for all circles. No matter the size of the circle, the diameter will always be exactly twice the length of the radius. The radius is the distance from the center of the circle to any point on the circle's circumference, while the diameter is the distance from one point on the circumference to another, passing through the center. Understanding this relationship is essential in various geometrical calculations and formulas involving circles.

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find the value of each variable 4y 3x 8 12​

Answers

Answer:

4x812y3

Step-by-step explanation:

If f(x) = 2x⁴- 3x² - 2x+5 and g(x)= x³ - 2x - 3, find the sum of polynomials f(x) and g(x) and hence state the order of the sum.

Answers

Answer:

2x⁴ + x³ - 3x² - 4x + 2

4

Step-by-step explanation:

Given functions:

     f(x) = 2x⁴ - 3x² - 2x + 5

     g(x)  = x³ - 2x - 3

Unknown:

Sum of the polynomials = ?

Order of the sum  = ?

Solution:

The sum of the polynomial is expressed as;

    f(x) + g(x) = 2x⁴ - 3x² - 2x + 5 +  x³ - 2x - 3

                   = 2x⁴ + x³ - 3x² - 2x - 2x + 5 -3

                   = 2x⁴ + x³ - 3x² - 4x + 2

The order of the sum is the highest power which 4.

This polynomial is of the 4th order.

what are the factoris a^7+ab^6

Answers

Answer:

Step-by-step explanation:

a^6(a + b^6)

4. Write the equation of a line that passes through the point (-8, 2) and is parallel to the
line 3x – 2y = 12.​

Answers

Answer:

3x - 2y = - 28

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3x - 2y = 12 ( subtract 3x from both sides )

- 2y = - 3x + 12 ( divide all terms by - 2 )

y = [tex]\frac{3}{2}[/tex] x - 6 ← in slope- intercept form

with slope m = [tex]\frac{3}{2}[/tex]

Parallel lines have equal slopes, thus

y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation

To find c substitute (- 8, 2) into the partial equation

2 = - 12 + c ⇒ c = 2 + 12 = 14

y = [tex]\frac{3}{2}[/tex] x + 14 ← equation in slope- intercept form

Multiply through by 2

2y = 3x + 28  ( subtract 2y from both sides )

0 = 3x - 2y + 28 ( subtract 28 from both sides )

- 28 = 3x - 2y , that is

3x - 2y = - 28 ← equation in standard form

Gcf of 16abc^2, 28abc

Answers

Answer:

4abc..............................

how many snakeman and red crows books were sold altogether

Answers

Hi! Could you please send a picture of the full problem? Thanks!

at a restaurant jars of tomato sauce are stored in boxes in the pantry . each box contains 8 jars of tomato sauce . A cook uses 2 jars from 1 of the boxes .

Which function shows the relationship between y , the total number of jars of tomato sauce remaining in the pantry , and x , the number of boxes in the pantry?​

Answers

Answer: y=8x-2

Step-by-step explanation

Because 8 jars per box would be 8x (x for how many boxes) and subtract 2 so it would be y=8x-2

Answer:

Step-by-step explanation:

y=8x-2

help me out bro
7 (x-3)+3 (4-x)= -8

Answers

Answer:

x = 1/4

Step-by-step explanation:

remove the parenthesis

collec like terms

caculate

move constant to the right

calculate

divide both sides

Rhombus ABCD with vertices A(2, 6), B(6, 7),
C(5, 3), and D(1, 2): 180°

Answers

Answer:

Step-by-step explanation:

Rule for the rotation of a point 180° about the origin is,

(x, y) → (-x, -y)

Therefore, images of the points after the rotation of 180° will be,

A(2, 6) → A'(-2, -6)

B(6, 7) → B'(-6, -7)

C(5, 3) → C'(-5, -3)

D(1, 2) → D'(-1, -2)

Now we can plot these points on the graph as attached.

Solve for r given the points ( 12 , 10 ) and (-2, r) and the slope, m = -4.

Answers

Answer:

r = 66

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to - 4

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (12, 10) and (x₂, y₂ ) = (- 2, r)

m = [tex]\frac{r-10}{-2-12}[/tex] = [tex]\frac{r-10}{-14}[/tex] , then

[tex]\frac{r-10}{-14}[/tex] = - 4 ( multiply both sides by - 14 )

r - 10 = 56 ( add 10 to both sides )

r = 66

This is it if you can’t solve it it’s fine!

Answers

Answer:

is 115

Step-by-step explanation:

i think since 7 checks equal 50, 14 must equal 100. and the other kid already had 15 dollars i think so that makes sense......... i think

Mr. Lowell has one of the most impressive antique toy collections in the United States, and he plans to distribute all 34,083 toys in his collection evenly to 21 different museums. How many toys will each museum get?

Answers

You have to divide 34,083 by 21 which gives you 1,623. So each museum will get 1,623 toys each.

Which one is the right answer?

Answers

Answer:

angle 2 is 35 degrees

angle 3 is 55 degrees

Answer:

(below)

Step-by-step explanation:

since angles 3 + 4 are a right angle (90 degrees) 90 - 35 = 55. so, m of angle 3 = 55 degrees

1 is a right angle. so, m of angle 1 = 90 degrees

if all interior angle of a triangle add up to 180, angle 2 must equal 35

-15b - 20
factorise fully
!!!​

Answers

Answer:

-5 (3b+4)

Step-by-step explanation:

-15b - 20

-5 (3b+4)

PLEASE HURRYYYY

find three points that solve the equation x- 4y=-18

Answers

Answer:

one of the three plots is (-2,4)

Step-by-step explanation:

A ticket to see your favorite baseball team costs ​$30.08. That price decreases by ​$0.42 for every game lost during the regular season. What equation could you use to find the cost C of a ticket after L​ losses? Represent the total change in the cost of a ticket after the team loses 27 games. What is the price of a ticket after the team loses 27 ​games?

Answers

Given :

A ticket to see your favorite baseball team costs ​$30.08.

That price decreases by ​$0.42 for every game lost during the regular season.

To Find :

What equation could you use to find the cost C of a ticket after L​ losses.

Solution :

Let, n is number of match loses and P is the price of ticket.

So, equation is given by :

P = 30.08 - (0.42)n           .......1)

Putting n = 27 in above equation,we get :

P = 30.08 - ( 0.42 )( 27 )

P = $18.74

Therefore, the price of a ticket after the team loses 27 ​games is $18.74 .

Hence, this is the required solution.

The average number of daylight hours, y, in a month for a particular city over the course of a 12-month year can be determined using the equation y = 2.375sin((StartFraction pi Over 6 EndFraction x minus StartFraction pi Over 2 EndFraction))+12.125, where x = 0 represents December, x = 1 represents January, etc.

Answers

Answer: 1,2, 5

Step-by-step explanation:

The amount of daylight fluctuates between 4.5 between least to greatest, and the graph required 3 months of horizontal shift compared to the parent function y = sin x, and the greatest number of sunlight can be 14.5 hours, so options A, B, and E are correct.

What is average?

The middle number, which is obtained by dividing the sum of all the numbers by the variety of numbers, is the average value in a set of numbers. To calculate the average of a set of data, add up all the values and divide the result by the total number of values.

Given:

The average number of daylight hours, y, in a month for a particular city over the course of a 12-month year can be determined using the equation

y = 2.375 sin [(π / 6)x - π / 2]+ 12.125,

Calculate the greatest number of daylight as shown below,

y = 2.375 sin[30 - 90] + 12.125

y = 14.5 hours

Hence, the greatest number of sunlight can be 14.5 hours,

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