Tom is buying topsoil for the flower bed shown below. One bag of topsoil covers 151515 square meters. How many bags of topsoil does Tom need to cover his flower bed?

Answer:

a. Geometric

b. 20, 10 and 5

c. Tn = 20(0.5)^n-1

d. 0.00004 ft

Step-by-step explanation:

a. The sequence is geometric

The reason for this is that we will be multiplying each term by a particular value

If it was arithmetic, we would have been adding instead. But since it is geometric, we shall multiply terms by a particular number

b. 1st term is

20

second term

1/2 * 20 = 10

Third term

1/2 * 10 = 5

c. Explicit formula

Mathematically, that will be;

Tn = ar^n-1

Where r is 1/2 or 0.5

Tn = a(0.5)^n-1

where Tn is the present term and n is the present number of the term

d. 20th term

T20 = 20 * 0.5^19

T20 = 0.00004 ft

Answer:

12 blue marbles

60 clear marbles

Step-by-step explanation:

From the information given:

Let the red marble be = r

the blue marble = b;  & the clear marbles be c

April has five times as many clear marbles as blue marbles.

i.e

5c as b

She has 4 times as many blue marbles as red marbles;

i.e.  4b as r

She has 3 red marbles

i.e. r = 3

If r = 3

Then; 4 times as many blue as r will be:

= 4 × 3

= 12 blue marbles

If b = 12; then 5 times as many clear marbles as blue marbles will be:

= 5 × 12

= 60 clear marbles

Answer:

Blank 1: 2

Blank 2: 7

Step-by-step explanation:

We can see that the starting value is 2, and the ratio is 7

Answer:

18

Step-by-step explanation:

The centroid divides the median into 2 parts from the vertex to one point to the opposite side of the vertex where the median starts.

Put into simpler language. HB is twice as long as HF

If Hf is 6 then HB is 12. BF is the total length of both or 6 + 12 = 18

Answer:

B hope that help

Step-by-step explanation:

Answer:

The original amount of muffin she original made will be: m = 49

Step-by-step explanation:

Given that after selling 28 muffins, 21 muffins remained.

Thus, the equation becomes

[tex]m - 28 = 21[/tex]

adding 28 to both sides

[tex]m-28+28 = 21+28[/tex]

[tex]m = 49[/tex]

Therefore, we conclude that the original amount of muffin she original made will be: m = 49

Answer:

4 pieces a minute

Step-by-step explanation:

115 minus 63 equals 52. 52 is what they did in 13 minutes so 52 divided by1 3 is 4 so 4.

Answer:

6 units :)

Step-by-step explanation:

Answer:

Christine has completed 35% of her total deliveries.

Step-by-step explanation:

To find the answer, you can use a rule of three considering that as Christine needs to make a total of 40 deliveries this week, this would represent 100% and with this you can find the percentage that the 14 deliveries completed represent:

40 → 100%

14  →    x

x=(14*100)/40=35%

According to this, the answer is that Christine has completed 35% of her total deliveries.

Answer:

16x - 17

Step-by-step explanation:

Answer:

16x-17

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

all four numbers in c do not have any other factors other than 1 and itself. All quotients of the number are not whole numbers.

Answer:

agree

Step-by-step explanation:

I agree with employee A getting a bigger pay raise than employee B if employee be got a bigger pay raise that is because they have more responsibility or have more skills than employee B.

Step-by-step explanation:

Triangles ABX and DCX are similar.

Since they are similar, AX/DX = AB/DC.

Hence AX/2.8 = 8/4 and AX = 5.6.

Answer:

56.6

Step-by-step explanation:

2 (pi)(r)

2 (3.142) (9)

6.284 (9)

56.556

one decimal place = 56.6

Answer:

28.2

Step-by-step explanation:

C=2(3.142)(4.5)

Radius- half the width.

Hope this helped :)

Answer:

The area of the rectangle is 22 m^2. The perimeter of the rectangle is 19.93

Step-by-step explanation:

The area of a rectangle is [tex]l*w[/tex]. The perimeter of a rectangle is [tex]2(l+w)[/tex] or just adding up all 4 sides. Now, all you need to do is math.

[tex]A= 3.3 * (20/3) = 22\\P = 2 (3.3 + (20/3)) = 19.93[/tex]

If your teacher has rounding rules, please follow it.

9514 1404 393

Answer:

  see below

Step-by-step explanation:

Assuming i and j refer to the row and column of a given element, that matrix would be ...

  [tex]\left[\begin{array}{cc}2&3\\3&4\end{array}\right][/tex]

__

Rows are numbered top down, starting with 1. Columns are numbered left-to-right, starting with 1. The upper left element is in row 1, column 1, so has a value here of 1+1 = 2. Each number is one more than the one to its left. Each number is 1 more than the one above it.

Answer:

Please check the explanation.

Step-by-step explanation:

Given the decimal number

[tex]6.05[/tex]

Rewrite as

[tex]=6+0.05[/tex]

[tex]=6+\frac{5}{100}[/tex]        ∵ 0.05 = 5/100

[tex]=6+\frac{1}{20}[/tex]

[tex]=\:\frac{121}{20}[/tex]

[tex]=6\frac{1}{20}[/tex]

Given the decimal number

12.346

Rewrite as

[tex]=12+0.346[/tex]

[tex]=12+\frac{173}{500}[/tex]              ∵ 0.346 = 346/1000 = 173/500

[tex]=12\frac{173}{500}[/tex]

Given the decimal number

7.5

Rewrite as

[tex]=7+0.5[/tex]

[tex]=7+\frac{1}{2}[/tex]                 ∵ 0.5 = 1/2

[tex]=7\frac{1}{2}[/tex]

Answer:

a = 1

Step-by-step explanation:

[tex]\frac{2}{3} (9x - 3) = 2(3x - a)[/tex]

One must simplify this expression, by distributing. In order to find a solution, where x has infinite solutions, one must make this equation an identity. That means that the equation will hold true, no matter what value of x is plugged in.

[tex]\frac{2}{3} (9x - 3) = 2(3x - a)[/tex]

Distribute;

6x - 2 = 6x - 2a

Inverse operations;

6x - 2 = 6x - 2a

-6x        -6x

-2 = -2a

1 = a

For this equation to be true no matter what, a must equal 1.

Answer:

1

Step-by-step explanation:

Answer:

$45.57

Step-by-step explanation:

First, calculate the dollar amount of the tax. This can be done by multiplying the price by the sales tax percentage

$42 × 8.5%= $3.57

Now, add the sales tax amount back to the price.

42 + 3.57 = 45.57

Answer:

14x-21y

Step-by-step explanation:

To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. This is:

  7(2x – 3y)

= 7(2(6) – 3(-2))

= 7(12 + 6)

= 7(18)

9514 1404 393

Answer:

  [-6, 8]

Step-by-step explanation:

The range of a function is its vertical extent.

Here, the low point on the graph is (11, -6). The high point on the graph is (-6, 8). The graph is continuous between these points, so every value between a low of y=-6 and a high of y=8 is part of the range:

  -6 ≤ y ≤ 8 . . . . . . . . [-6, 8] in interval notation

Answer:

$5.89 per pair

$35.34   6 pairs

$35.34/6=$5.89 per pair

Answer:

[tex]x = \frac{ - 3}{2} \: or \: \frac{1}{3} [/tex]

Step-by-step explanation:

[tex]7 {x}^{2} + 10x - 3 = {x}^{2} + 3x[/tex]

[tex] = > 7 {x}^{2} - {x}^{2} + 10x - 3x -3 = 0[/tex]

[tex] = > 6 {x}^{2} + 7x - 3 = 0[/tex]

[tex] = > 6 {x}^{2} + 9x - 2x - 3 = 0[/tex]

[tex] = > 3x(2x + 3) - 1(2x + 3) = 0[/tex]

[tex] = > (2x + 3)(3x - 1) = 0[/tex]

Here x will have 2 values.

1) [tex]2x + 3 = 0[/tex]

[tex] = > 2x = - 3[/tex]

[tex] = > x = \frac{ - 3}{2} [/tex]

2)[tex]3x - 1 = 0[/tex]

[tex] = > 3x = 1[/tex]

[tex] = > x = \frac{1}{3} [/tex]

Answer: 150 boys

Step-by-step explanation:

Let the number of boys be x

Since there were 200 more girls than boys, the number of girls will be: = x + 200

Since the ratio of boys to girls was 3:7, this can be solved further below:

3/7 = x/x+200

Cross multiply

(7 × x) = 3(x + 200)

7x = 3x + 600

7x - 3x = 600

4x = 600

x = 600/4

x = 150

The number of boys enrolled is 150

Number of Girls will be:

= X + 200

= 150 + 200

= 350

Check: Number of boys / Number of girls

= 150/350

= 3/7

= 3:7

Answer:

I will consider $18/hour pay

Step-by-step explanation:

Before we an know which of the money to consider, we need to converted the equivalent amount in years

If $18 dollars is offered per hour, to know the equivalent amount per year.

1year = 8760hour

$18 = 1hr

x = 8760hr

x =18×8760

x = $157680

For the monthly pay

$3000 = 1month

y =12months

Since 12months are in year

Cross multiply

y = 3000×12

y = $36000

Since the hourly pay equivalent in years is greater than the monthly and yearly pay, hence I would consider $18 per hour pay

Answer:

The answer is 5 3/8

Step-by-step explanation:

Answer:

16an - 19an + 9an + 8b + 12b

6an + 20b

Answer:

6an+20b I believe

Step-by-step explanation: