The Harris family needs to purchase topsoil for their landscaping project (measuring 50 ft x 40 ft with a thickness of 6 inches of topsoil/mulch). They have two options:a. purchasing the soil in 3 ft3 bags priced at $2.25 each with no delivery charge, or
b. purchasing in bulk at $18 per cubic yard with a one-time $50 delivery fee. Which option is the least expensive and by how much? Explain.

Answers

Answer 1

Answer: 50ft x 40ft x 0.5ft = 1,000 ft³ of soil needed for the project

1000/3= 333.3 bags of soil would be needed, so round up to 334.
334 x $2.25 = $751.50

convert the feet³ to yards³, divide the 1000 ft³ by 27 (27 ft³ in 1 yard³)
1000/27= 37.037(repeating) yd³ I'll round up to 38 yd³
38yd³ x $18 = $684 + $50 delivery fee = $734

So, the bulk soil is less expensive by $17.50

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Firewood is stacked in a pile. The bottom row has 20 logs, and the top row was 14 logs. Each row has one more log than the row above it. How many logs are in the pile?

Answers

Since, each row has one more log than the row above it

so, this is arithematic sequence

We are given that

First row is

$=14$

so,

$a_1=14$

Last row is

$=20$

so,

$a_n=14$

Each row has one more log than the row above it

so,

$d=1$

now, we can find number of rows

$a_n=a_1+(n-1)d$

we can plug values

$20=14+(n-1)1$

we can solve for n

$6=(n-1)1$

$n=7$

now, we can find total number of logs

$S=(n(a_1+a_n))/(2)$

now, we can plug values

$S=(7(14+20))/(2)$

$S=119$

So,

Number of logs in the pile are 119........Answer

The log in the pile is an illustration of arithmetic progression.

The number of logs in the pile is 119.

The first term of the progression is:

$\mathbf{a =14}$

The last term is:

$\mathbf{L =20}$

The common difference is:

$\mathbf{d =1}$

First, we calculate the number of terms using:

$\mathbf{L = a +(n - 1)d}$

So, we have:

$\mathbf{20= 14 +(n - 1) * 1}$

$\mathbf{20 = 14 +(n - 1) }$

Subtract 14 from both sides

$\mathbf{n - 1 = 6}$

Add 1 to both sides

$\mathbf{n = 7}$

The number of logs in the pile is calculated using the sum of n terms of an AP formula:

$\mathbf{S_n = (n)/(2)(a + L)}$

So, we have:

$\mathbf{S_n = (7)/(2)(14 + 20)}$

$\mathbf{S_n = 3.5(34)}$

$\mathbf{S_n = 119}$

Hence, the number of logs in the pile is 119.

Read more about arithmetic progressions at:

brainly.com/question/13989292

Can some one please help me solve this ?

Answers

You're in high school. You learned a long time ago that the distance between
any two points is . . .

square root of [ (difference in their x-values)² + (difference in their y-values)² ].

Your two points are (-9, 6) and (-3, 9).

The difference in their x-values is 6 .
The difference in their y-values is 3 .

The distance between the points is . . .

square root of [ (6)² + (3)² ] = √(36 + 9) = √45

so this can be set up like a triangle and use that pythagorian theorem
a^2+b^2=c^2
so to find a you subsitute (x₁-x₂) and for b subsitute (y₁-y₂)

we want to find c
so
(-9-(-3))^2+(6-9)^2=c^2
(-9+3)^2+(6-9)^2=c^2
(-6)^2+(-3)^2=c^2
36+9=c^2
45=c^2
square root both sides
√45=c=distance
√45=3√5 in other words 3 times √5

answer is 3√5

He number of 90° angles formed by the intersections of and the two parallel lines and is .

Answers

Answer:

When you will draw two parallel lines , and a Transversal cutting it

The Transversal may cut the parallel lines in two ways

(a)The Transversal may be perpendicular to two lines

(b) The Transversal may cut the two parallel lines which are not perpendicular.

In both the cases , 8 angles will be formed and sum of all the angles will be 720°.

When you will consider case a , there will be exactly 8 right angles.

When you will consider case b, there will be no angle equal to 90°, but sum of total angle is 720°, which will be equal to 8 right angles.

A line perpendicular to the two parallel lines would create 8 right angles.

Find the domain and range of the relation. A. domain: {-3, -1.5, 1.5, 3}; range: {4, 3, 1.5} B. domain: {-3, -1.5, 0, 1.5, 3}; range: {4, 3, 1.5} C. domain: {4, 3, 1.5}; range: {-3, -1.5, 1.5, 3} D. domain: {4, 3, 1.5}; range: {-3, -1.5, 0, 1.5, 3}

Answers

the domain is the x values and the range is the y values

domain : { - 3, -1.5,0,1.5,3 }
range : { 4, 3, 1.5 }

Сым сөзінің әдеби тілдегі баламасы

Answers

Whatttt ru mean!????

Answer:

what is heck you said "Literary equivalent of the word wire"

What is the distance between the points (8,-4) and (-5, -4)

Answers

Answer: 13

Step-by-step explanation:

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