You are mowing your neighbor's lawn. He is going to pay you $20.00 for the first two hours and $5.00 for anything after that. Which algebraic expression represents how much you will be paid for working h hours?
A. 25h
B. 20h + 5
C. (20 + 5)h
D. 20 + 5(h – 2)

Answer:

A.) Cheaper Fertilizer is Quick Fertilizer

B.) The cheaper fertilizer now cost $ 61

Step-by-step explanation:

The exact question is as follows :

Given - Daija is looking to fertilize her 24,000 square foot lawn. Super Lawn fertilizer costs $18.49 and covers 6,000 square feet. Quick Fertilizer costs $23.99 and covers 8,000 square feet.

To find - A.) Which fertilizer would be cheaper for Daija to purchase to fertilize her entire lawn?-Show your work or explain your answer.

               B.) Daija has a 15% off coupon on the cheaper fertilizer. Excluding sales tax, what is the new cost of the fertilizer? Round to the nearest cent.

Proof -

A.)

Given that,

Total lawn that have to be fertilize = 24,000

Now,

Super Lawn fertilizer costs $18.49 and covers 6,000 square feet.

i.e.

6000 square feet = $ 18.49

⇒4×6000 square feet = $ 4×18.49

⇒24000 square feet = $ 73.96

∴ we get

Super Lawn costs $ 73.96

Now,

Quick Fertilizer costs $23.99 and covers 8,000 square feet.

i.e.

8000 square feet = $ 23.99

⇒3×8000 square feet = $ 3×23.99

⇒24000 square feet = $ 71.97

∴ we get

Quick Fertilizer costs $ 71.97

As we get

Super Lawn costs $ 73.96

Quick Fertilizer costs $ 71.97

As $ 71.97  < $ 73.96

So,

Cheaper Fertilizer is Quick Fertilizer

B.)

As we get from part a) that

Quick Fertilizer is cheaper and it costs $ 71.97

So,

15% of 71.97 = 10.7955

∴ we get

Now,

Quick fertilizer cost = $ 71.97 - 10.7955

                                 = $ 61.1745 ≈ $ 61

So,

After applying the 15% coupon,

The cheaper fertilizer now cost $ 61

As the it's a sqaure pyramid, thus the formula we will use will be:

= 2 × b × s + b²

= 2 × 2 × 6 + 2²

= 4 × 6 + 4

= 24 + 4

= 28 cm²

And it's done..!

Answer:

12z if thats wrong lmk

Step-by-step explanation:

Answer:

The correct answer is 64

Step-by-step explanation:

we know that,

volume =4x

=4×4×4

=64

Answer:

64

Step-by-step explanation:

Answer:

The 50th term of the sequence that begins with - 6 is 288.

Step-by-step explanation:

An arithmetic progression, also known as an arithmetic sequence, is a set of numbers in which the difference between successive terms remains constant. The sequence 5, 7, 9, 11, 13, 15,... is, for example, an arithmetic progression with a common difference of 2.

Formula -[tex]$a_{n}=a_{1}+(n-1) d$[/tex]

It is in arithmetic progression as the common difference between all consecutive numbers is 6.

Let a1 be the first term and d be the common difference.

Therefore, a1 = - 6 and d = 6

For 50th term, a50 = a1 + (n - 1) d

= - 6 + (50 - 1) 6

= - 6 + 49 × 6

= - 6 + 294

= 288

Thus, the 50th term of the sequence is 288.

Learn more about arithmetic progression here-https://brainly.com/question/24462795

#SPJ2

Answer: J x=6; slope is undefined

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

We have to multiply 9 for itself for 6 times

[tex] \frac{3}{5} + \frac{3}{5} + \frac{3}{5} + \frac{3}{5} + \frac{3}{5} \\ \\ = \frac{3 + 3 + 3 + 3 + 3}{5} \\ \\ = \frac{15}{5} \\ \\ = \cancel \frac{15}{5} \\ \\ = 3[/tex]

Answer: 3.

Step-by-step explanation:

Answer:

[tex]\frac{5}{8} :\frac{y}{24}[/tex]

Cross multiply.

y × 8 = 24 × 5

Simplify.

8y = 120

Divide each side by 8.

8y ÷ 8 = 120 ÷ 8

Simplify.

y = 15

[tex]\frac{6}{8} :\frac{y}{24}[/tex]

You can simplify 6/8.

[tex]\frac{3}{4} :\frac{y}{24}[/tex]

Cross multiply.

y × 4 = 3 · 24

Simplify.

4y = 72

Divide each side by 4.

4y ÷ 4 = 72 ÷ 4

Simplify.

y = 18

Answer:

it is 4

Please Mark Brain list answer

Hope it helps you.

Answer:

4

Step-by-step explanation:

2 8 12 20

2 4 6 10

2 3 5

:2*2=4

Answer:

$21,000

Step-by-step explanation:

Solve the following fraction problem and choose the correct alternative: Jaime buys a property for $ 84,000 and after one year sells it earning 1/4 of the purchase price. How much was the profit? *

The amount of profit is calculated as

1/4 of the purchase price

Purchase price = $84,000

= 1/4 of $84,000

= 1/4 × $84,000

= $21,000

Therefore, the amount of the profit = $21,000

Answer:

Option A

Step-by-step explanation:

Area of the composite figure = Area of ΔABH + Area of BCGH + Area of ΔDEF

Area of ΔABH = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                        = [tex]\frac{1}{2}(6)(8-5)[/tex]

                        = 9 in²

Area of the trapezoid = [tex]\frac{1}{2}(CG+BH)(\text{Distance between these lines})[/tex]

                                    = [tex]\frac{1}{2}(6+4)(5)[/tex]

                                    = 25 in²

Area of ΔDEF = [tex]\frac{1}{2}(8)(6)[/tex]

                       = 24 in²

Therefore, area of the given figure = 9 + 25 + 24

                                                          = 58 in²

Option A will be the correct option.

Answer:

last answer

Step-by-step explanation:

Answer:

point S is (-2, 0) if that's what the question is asking for

Step-by-step explanation:

Here's the solution :

radius = 8 yards ( half the diameter )

now, we know,

[tex] \boxed{area = \pi {r}^{2} }[/tex]

let's solve,

so, correct option is B.

Answer:

b

Step-by-step explanation:

Answer:

2x² + 19x + 45

Step-by-step explanation:

(x + 5)(x + 1) + (x + 5)(x + 8) ← expand both sets of factors using FOIL

= x² + 6x + 5 + x² + 13x + 40 ← collect like terms

= 2x² + 19x + 45

Answer:

Step-by-step explanation:

5x =2x+9(corresponding angles are always equal)

5x-2x=9

3x=9

x=9/3

x=3

Answer:

2x - 4 = 25x^2x^3x

Step-by-step explanation:

log(5x)(2x-4)=3x+2

2x- 4 = (5x)^(3x+2)

2x - 4 = (5x)^3x * (5x)^2

2x - 4 = 25x^2x^3x.

Answer:

Exponential form:

[tex](5x)^{3x+2}=2x-4[/tex]

Step-by-step explanation:

[tex]\log_\text{base}(?)=\text{exponent}[/tex]

is equivalent to [tex](\text{base})^\text{exponent}=?[/tex]

So [tex]\log_{5x}(2x-4)=3x+2[/tex]

is equivalent to

[tex](5x)^{3x+2}=2x-4[/tex]

Answer:

b (6b+3)

Step-by-step explanation:

Answer:

10 + 2b

Step-by-step explanation:

To figure this out, distribute the 2 into the parentheses:

4 + 2(b + 3)    ---->    4 + 2b + 6

Now combine like terms:

10 + 2b

Answer:

2/9

Step-by-step explanation:

It would be 6/27, but you simplify by dividing each number by three.

4x+3y=1 2x+5y=11

We'll need to use system of equations for this one.

4x+3y=1

3y=1-4x

y=-4/3x+1/3

2x+5y=1

5y=1-2x

y=-2x/5+1/5

Set these two equations equal to each other and solve for x.

-2x/5+1/5=-4/3x+1/3

x=1/7

Then plug x in to solve for y.

y=-2(1/7)/5+1/5

y=1/7

Answer:

the answe is 2^3

Answer:

C = 5

Step-by-step explanation:

[tex]4c-12=8[/tex]

[tex]4(5)-12=8[/tex]

[tex]20-12=8[/tex]

[tex]c-3=2[/tex]

[tex]5-3=2[/tex]

Answer:

i dont know man

Step-by-step explanation:

oo

Answer:

5 3/4 hours  remaining to meet his goal  

Step-by-step explanation:

miles required  to meet his goal = 13 1/2 miles

Miles ran on monday =3 1/2

Miles ran on Tuesday =4 1/4

Miles remaining to reach his goal =Total miles required - Miles ran on Monday and Tuesday

13 1/2 - ( 31/2 + 4 1/4 )

  131/2 -   7 3/4

change to improper fraction for easy solving

27/2 -31/4

54-31 /4=23/4 =5 3/4 hours

Answer:

-1      0      1      2      3      4      5

5      0     -3     -4     -3     0      5

Curve (B) best matches the given graph.

Step-by-step explanation:

When given the following function,

[tex]y=x^2-4x[/tex]

The problem asks one to evaluate the function for the given list of values, substitute in each of the values and solve to find the value of (y),

(-1)

[tex]y=x^2-4x\\y=(-1)^2-4(-1)\\y=1+4\\y=5[/tex]

(1)

[tex]y=x^2-4x\\=(1)^2-4(1)\\=1-4\\=-3[/tex]

(2)

[tex]y=x^2-4x\\=(2)^2-4(2)\\=4-8\\=-4[/tex]

(4)

[tex]y=x^2-4x\\=(4)^2-4(4)\\=16-16\\=0[/tex]

For a graphed line to be a function it needs to pass the vertical line test.

If a vertical line goes through the graphed line in more than one x axis then it is not a function.

 Using the given point (-1,2) drawing a vertical line at X = -1, you can see the other vertical line goes through the graphed line at point  (-1,0)

Answer: (-1,0)

Answer:

[tex]\displaystyle x \approx 53.1^\circ[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = x

Adjacent Leg = 15

Hypotenuse = 25

Step 2: Solve for x