54) Ashley and Nicole each improved their yards by planting daylilies and ornamental grass. They
bought their supplies from the same store. Ashley spent $43 on 2 daylilies and 3 bunches of
ornamental grass. Nicole spent $87 on 6 daylilies and 3 bunches of ornamental grass. Find the
cost of one daylily and the cost of one bunch of ornamental grass.
dalilar.

Answers

Answer 1

Answer:

Daylilies- $11, Ornamental grass- $7

Step-by-step explanation:

For this one, you want to convert this into simultaneous equations.

If we let d be cost of one daylily and o be cost of one bunch of ornamental grass, we can write the equations as 2d+3o=43 and 6d+3o=87.

From there, we can see they share a like term (3o), so we subtract one equation from the other (since they both are preceded by a +). This gives 4d=44.

Dividing both sides by 4 isolates d, leaving d=$11.

We can substitute this value into either equation to work out o (I'm using the first one as it is easier). This makes it 2×11+3o=43, or 22+3o=43.

From there, we subtract 22 from both sides, giving 3o=21, and dividing by 3 gives a final result of o=$7.

**This content involves writing and solving simultaneous equations, which you may wish to revise. I'm always happy to help!

All working out:

d- cost of one daylily o- cost of one bunch of ornamental grass

2d+3o=43 6d+3o=87

6d+3o=87

 -     -     -

2d+3o=43

=     =    =

4d      =44

÷4        ÷4

d        =11

2d+3o=43

2×11+3o=43

22+3o=43

3o=21

o=7


Related Questions

List all the possible numbers for ALL 4 Quadrants (in terms of negative, positive).










What Quadrant would the following numbers be in:

-4, -6 ______
+5, +5______
-4, +1 ______
+3, -7 _____

Answers

JxkskKzk lflodlslslslss

Help please help 50 points!!!!! no links or i will report if you know how to solve just answeer pllllease !!

Answers

Answer:

39.6 degrees

Step-by-step explanation:

There are 176 baseball answers out of 1600

There are 360 degrees in a circle

Multiply the fraction of baseball responses by the degrees in a circle

176/1600 * 360

198/5

39.6 degrees

I need help I put 30 points for whoever helps me

Answers

Answer:

[tex]y=-x+1[/tex]

Step-by-step explanation:

Slope can be represented as rise over run (change y-values over change in x-values). Since the y-value is changing by -2 every time the x-value is changing by 2, the slope of the line must be [tex]\frac{-2}{2}=-1[/tex].

In slope-intercept form [tex]y=mx+b[/tex], [tex]m[/tex] represents the slope of the line, [tex]b[/tex] represents the y-intercept, and [tex](x, y)[/tex] represent the coordinates of any point the line passes through.

To find [tex]b[/tex], substitute [tex]m=-1[/tex] and any point the line passes through.

Using (1, 0) from the table:

[tex]0=-1(1)+b,\\0=-1+b,\\b=1[/tex]

Thus, the equation of this line is [tex]\boxed{y=-x+1}[/tex]

a cylinder and sphere both have the same diameter and the same volume. if the height of the cylinder is 36cm,
find their common radius?​

Answers

Answer:

27

Step-by-step explanation:

V_cylinder = pi r^2 h

h = 36

V_cylinder = 36 pi r^2

V_Sphere = 4/3 * pi * r^3

But the volumes are given as equal

36pi r^2 = (4/3) pi r^3                           divide by pi r^2

36 =  4/3 r                                             Multiply both sides by3/4

36 * 3/4 = r

r = 27

write and solve an equation given the following information. Angles 1 and 2 are complementary. the measure of angle 2 is 18 larger than the measure of angle 1.
A.) x + (x + 18) = 90, x = 36
B.) x + (x + 18) = 180, x = 81
C.) 2x + 72 = 90, x = 9
D.) x + (x - 18) = 90, x = 54


Will give brainlist!!

Answers

The answer is A because complementary is 2 angle that add up to 90

3x<11.75 solve for x please, with step on how you got to that answer!

Answers

Answer:

See below

Step-by-step explanation:

3x < 11.75

11.75 / 3 = 3.92

x < 3.92

Two basketballs are thrown along different paths. Determine if the basketballs’ paths are parallel to each
other, perpendicular or neither. Explain your reasoning.

o The first basketball is along the path 3x + 4y = 12
o The second basketball is along the path -6x – 8y = 24

Answers

Answer:

Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.

Step-by-step explanation:

Remember that:

Two lines are parallel if their slopes are equivalent. Two lines are perpendicular if their slopes are negative reciprocals of each other. And two lines are neither if neither of the two cases above apply.

So, let's find the slope of each equation.

The first basketball is modeled by:

[tex]\displaystyle 3x+4y=12[/tex]

We can convert this into slope-intercept form. Subtract 3x from both sides:

[tex]4y=-3x+12[/tex]

And divide both sides by four:

[tex]\displaystyle y=-\frac{3}{4}x+3[/tex]

So, the slope of the first basketball is -3/4.

The second basketball is modeled by:

[tex]-6x-8y=24[/tex]

Again, let's convert this into slope-intercept form. Add 6x to both sides:

[tex]-8y=6x+24[/tex]

And divide both sides by negative eight:

[tex]\displaystyle y=-\frac{3}{4}x-3[/tex]

So, the slope of the second basketball is also -3/4.

Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.

Jeff had 5 apples but ate 2 Kyle had 3 apples but ate 1 kelsea has 8 apples but ate 4 who has the most apples?

Answers

Answer: kelsea 4 apples left

Step-by-step explanation:

Jeff has the most apples

determine the slope between -2,6 3,4

Answers

The slope is -999’inc because yssjjdidijdnxjdnxnnxkxkx

Calculate the volume of a cone with: 11cm height and 6cm radius

Answers

Answer:

volume=1243.44 cm^3

Step-by-step explanation:

volume of a cone=πr^2h

=3.14*(6)^2*111

=3.14*36*11

=1243.44 cm^3

Answer:

V=414.69cm³

Step-by-step explanation:

use v=πr²h/3

pie is 22/7 so when you fix in your values you will get the answer

x^2 times x^2 times 5

Answers

Answer:

5x^4

Step-by-step explanation:

Re-order terms so constants are on the left

x^2*x^2*5

5x^2*x^2

Combine exponents

5x^2*x^2

5x^4

(PLS GIVE brainliest)

Please can someone help me ?

Answers

Answer:

Step-by-step explanation:

1/(3x+5)(3x-5) - 1/2(3x+5)

2 - (3x-5)

2(3x+5)(3x-5)

2-3x+5

2(3x+5)(3x-5)

-3x + 7

2(3x+5)(3x-5)

How do you factor the quadratic equation 3x^2 + 8x + 3 to find the roots?

Answers

Answer:

Step-by-step explanation:

Hope this helps u!!

The quadratic is not factorable, to figure this out use this formula (b^2-4ac) to figure out the discriminant. If the discriminant comes out to be a perfect square or equal to zero then we can say it’s factorable if it does not meet those requirements it’s not. In this problem it’s 8^2-4*3*3. Simplify and you get 64-36 which is equal to 28. 28 is not a perfect square or equal to zero therefore this is not factorable. If you need the root the quadratic formula would be a good option also look on the bottom if that’s what u need.

Hope this helps!

Simplify...................​

Answers

Answer:

(a+b)/2(a-b)

Step-by-step explanation:

Explained in the paper

Goodluck

solve the inequality 2-x<7

Answers

Answer:

x>-5

Step-by-step explanation:

2-x<7

Subtract 2 from each side

2-x-2<7-2

-x<5

Multiply each side by -1, remembering to flip the inequality

x>-5

A rectangle has a length of 30 and A diagonal that measures 34. What is the width of the rectangle? (Round your answer to the nearest tenth)

Answers

Answer:

45.34

Step-by-step explanation:

you have to use the pythagorean theorem

URGENT PLEASE HELP: Simplify

Answers

Answer:

cot (x)

Step-by-step explanation:

cot x

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

cos x  sec x

We know that sec = 1/ cos

cot x

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

cos x  1/ cos x

cot x

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

1

cot (x)

Answer:

You're clicking on the correct answer, it's cot with that symbol, I dont have the symbol.

PLEASEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

First, find the multiplier  ( 100-18/100)

=0.82

364000*0.82

=298480 is the new value after the years

Triangle ABC ~ Triangle DEF. Measure of angle A = 30 degrees and measure of angle F = 65 degrees. AB=20, DE = 35, EF= 28.

Find measure of angles B, E, D and C and the length of BC.

Answers

Answer:

< B = 180-30-65=85°

< E = 85°

< D = 30°

< C = 65°

BC = 20/35 × 28 = 16

Pls, help me with this geometry question.

Answers

Answer:

x=45 degree

Step-by-step explanation:

x+135=180 degree (0pposite angles of a inscribed quadilateral in a circle are supplement of eaach other)

x=180-135

x=45 degree

Find the surface area and explain step by step plz and no links plz

Answers

Answer:

253 in²

Step-by-step explanation:

Surface area of a cylinder= 2πr (r+h)

The radius is not shown.

Radius= diameter/2

           = 7/2

           = 3.5 in

Surface area= 2xπx3.5 (3.5+8)

                     = 253 in²

*r=radius

h=height

I used the π value from my calculator.

P.S. You can substitute π for 3.14. If you round it to the nearest whole number, you will still get the same answer. Hope this helped!

The picture shows the diameter and the height. First, find the radius from the diameter by dividing by 2.

Find the second derivative of the function.

Answers

Answer:

[tex] \displaystyle d)\frac{d ^{2} y}{d{x}^{2} } = 2 + \frac{ 42}{ {x}^{4} }[/tex]

Step-by-step explanation:

we would like to figure out the second derivative of the following:

[tex] \displaystyle y = \frac{ {x}^{4} + 7}{ {x}^{2} } [/tex]

we can rewrite it thus rewrite:

[tex] \displaystyle y = {x}^{2} + 7 {x}^{ - 2} [/tex]

take derivative in both sides:

[tex] \displaystyle \frac{dy}{dx} = \frac{d}{dx}( {x}^{2} + 7 {x}^{ - 2} )[/tex]

by sum derivation we obtain:

[tex] \displaystyle \frac{dy}{dx} = \frac{d}{dx}{x}^{2} + \frac{d}{dx} 7 {x}^{ - 2}[/tex]

by exponent derivation we acquire:

[tex] \displaystyle \frac{dy}{dx} = 2{x}^{} - 14 {x}^{ - 3}[/tex]

take derivative In both sides once again:

[tex] \displaystyle \frac{d ^{2} y}{d{x}^{2} } = \frac{d}{d x } (2{x}^{} - 14 {x}^{ - 3})[/tex]

use difference rule which yields:

[tex] \displaystyle \frac{d ^{2} y}{d{x}^{2} } = \frac{d}{d x } 2{x}^{} - \frac{d}{dx} 14{x}^{ - 3}[/tex]

use exponent derivation which yields:

[tex] \displaystyle \frac{d ^{2} y}{d{x}^{2} } = 2 + 42{x}^{ - 4}[/tex]

by law of exponent we get:

[tex] \displaystyle \frac{d ^{2} y}{d{x}^{2} } = 2 + \frac{ 42}{ {x}^{4} }[/tex]

hence, our answer is d)

Write a numerical expression for the verbal expression.
fourteen decreased by three times four

Answers

Answer:

Step-by-step explanation:

44

What this is basically saying

Is that 14 is being DECREASED by 3*4

So 14-(3*4)

Donna bought 5 bags of dog treats for $10.65. What is the cost per bag of dog treats?

Answers

Answer:

$10.65 divide by 5 equals $2.13

Answer:

The cost per bag of dog treats is $2.13.

Step-by-step explanation:

We have the total, so to find the cost per bag you would take the total and divide by how many bags there are.

Total = $10.65

How many bags there are : 5

$10.65 divided by 5 = 2.13

The cost per bag of dog treats is $2.13.

Please help me.....................

Answers

Answer:16500

Step-by-step explanation:

That is, for every 100 people, there are 26 people aged between 11 and 20. So 63500 will have 16500 people aged 20.

Expand and simplify:
(x + 1)(2x - 3)
with the explaining the steps​

Answers

Answer:  2x^2 - x - 3

====================================

Work Shown:

(x+1)(2x-3)

y(2x-3)

2xy - 3y

2x( y ) - 3( y )

2x( x+1 ) - 3( x+1 )

2x^2+2x - 3x-3

2x^2 - x - 3

Explanation:

In the second step, I replaced all of (x+1) with y. Afterward, I distributed that y term through. A few steps later, I replaced y with x+1 to help finish up the distributions. You could use the FOIL rule as an alternative approach.

= X(2X-3) + 1 ( 2X-3)
=(2X*2 -3X) + (2X-3)
=2x*2 - 3X + 2x-3
=2x*2-x-3

Simplify\left(2-\sqrt{3}\right)^2

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { C) \:7 + 4 \sqrt{3}}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] {( - 2 - \sqrt{3} )}^{2} [/tex]

[tex] = ({ - 2})^{2} - 2.( - 2). \sqrt{3} + { (\sqrt{3}) }^{2} [/tex]

[tex] = 4 + 4 \sqrt{3} + 3[/tex]

[tex] = 7 + 4 \sqrt{3} [/tex]

Note:

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

[tex] \sqrt{a} \times \sqrt{a} = a[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

[tex]\sqrt{x} +3=9[/tex]

Answers

Answer:

x=36

Step-by-step explanation:

sqrt(x) +3 = 9

Subtract 3 from each side

sqrt(x)+3-3 = 9-3

sqrt(x) = 6

Square each side

(sqrt(x))^2 = 6^2

x = 36

Check the solution

sqrt(36) +3 = 9

6+3 = 9

Solution is valid

Answer:

x = 36

Step-by-step explanation:

√x + 3 = 9

subtract 3 from 9

√x = 9 - 3

√x = 6

Find , square root of 6

x = (6 ) ²

x = 36

Which of the following is one of the factors of the polynomial
15x2-x-2? A)x-2 B) 5x-2 C) 5x+1. D) 3x-1

Answers

Answer:

5x-2

Step-by-step explanation:

15x^2-x-2

15x^2+5x-6x-2

factorize

5x(3x+1)-2(3x+1)

Sol: (3x+1)*(5x-2)

solve for q: plz help

Answers

Answer:

-0.67 rounded to hundredths

Step-by-step explanation:

3×(q + 4/3) = 2

q + 4/3 = 2/3

q = -2/3 = -0.666666666666...

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