# Carlota has 3/4 ton of mulch she is going to divide evenly among 5 flower beds. How much mulch will each flower bed contain? Please show work

QUESTION POSTED AT 06/12/2019 - 01:58 PM

QUESTION POSTED AT 06/12/2019 - 01:58 PM

The first thing to do is to turn 5 into a fraction.

5 = 5/1

Now it is just a simple fractional division question:

3/4 / 5/1

With fractional division, all you do is switch around the fraction that is on the right and turn the divide sign into a multiplication sign:

3/4 X 1/5

Now you simply multiply the numerators together, and the denominators together:

3 X 1 = 3

4 X 5 = 20

3/20.

Each flower bed will contain 3/20 of a ton of mulch.

5 = 5/1

Now it is just a simple fractional division question:

3/4 / 5/1

With fractional division, all you do is switch around the fraction that is on the right and turn the divide sign into a multiplication sign:

3/4 X 1/5

Now you simply multiply the numerators together, and the denominators together:

3 X 1 = 3

4 X 5 = 20

3/20.

Each flower bed will contain 3/20 of a ton of mulch.

**Answer:**

When Thomas visits the coffee shop 13 times than the change in his paycheck be is $19.5 .

**Step-by-step explanation:**

As given

Thomas works for a company that occupies a large campus.

Every workday, he orders a cup of coffee on campus, and the $1.50 cost is automatically deducted from his paycheck.

If Thomas visits the coffee shop 13 times .

Thus

Net change in Thomas paycheck = 13 × Cost per deduction from paycheck

Put all the values in the above

Net change in Thomas paycheck = 13 × 1.50

= $ 19.5

Therefore when Thomas visits the coffee shop 13 times than the change in his paycheck be is $19.5 .

ANSWERED AT 28/01/2020 - 01:11 AM

QUESTION POSTED AT 28/01/2020 - 01:11 AM

**Answer:**

hours.

**Step-by-step explanation:**

We have been given that a painter takes 2 3/5 hours to paint a wall. We are asked to find the time taken by painter to paint 8 walls.

To find time taken by painter to paint 8 walls, we will multiply time taken to paint one wall by 8 as:

First of all, we will convert our given mixed fraction into improper fraction as shown below:

**Therefore, the painter will take hours to paint 8 walls.**

ANSWERED AT 28/01/2020 - 01:06 AM

QUESTION POSTED AT 28/01/2020 - 01:06 AM

It's longitude and latitude.

ANSWERED AT 28/01/2020 - 01:02 AM

QUESTION POSTED AT 28/01/2020 - 01:02 AM

(all the mentions to FOJ, FOG, GOH, HOJ refer to the angles)

FOJ = 180

FOJ = FOG + GOH + HOJ [make the drawing to see this clearly]

FOG = 2 (HOJ)

GOH = 3 (HOJ)/2

HOJ = HOJ

2 (HOJ) + 3(HOJ)/2 + HOJ = 180

4.5 HOJ = 180

HOJ = 180/4.5

HOJ = 40

FOG = 2(40) = 80

Answer: angle FOG measures 80 degrees.

FOJ = 180

FOJ = FOG + GOH + HOJ [make the drawing to see this clearly]

FOG = 2 (HOJ)

GOH = 3 (HOJ)/2

HOJ = HOJ

2 (HOJ) + 3(HOJ)/2 + HOJ = 180

4.5 HOJ = 180

HOJ = 180/4.5

HOJ = 40

FOG = 2(40) = 80

Answer: angle FOG measures 80 degrees.

ANSWERED AT 28/01/2020 - 01:02 AM

QUESTION POSTED AT 28/01/2020 - 01:02 AM

The correct answer here is **2/3**

That is because 7 doubled is 14 and 7 multiplied by 3 is 21.

That is because 7 doubled is 14 and 7 multiplied by 3 is 21.

ANSWERED AT 28/01/2020 - 12:46 AM

QUESTION POSTED AT 28/01/2020 - 12:46 AM

About 58 percent of the time.

ANSWERED AT 28/01/2020 - 12:46 AM

QUESTION POSTED AT 28/01/2020 - 12:46 AM

Call f(t) the function that gives the rise of the balloon; then the statment translate to:

f(60) > f(45)

f(60) > f(45)

ANSWERED AT 28/01/2020 - 12:43 AM

QUESTION POSTED AT 28/01/2020 - 12:43 AM

Rember to use the rules of p.e.m.d.a.s

ANSWERED AT 28/01/2020 - 12:43 AM

QUESTION POSTED AT 28/01/2020 - 12:43 AM

The number of miles Steve ran is:

** 4 miles.**

Steve uses an app that shows him how many kilometers he has run to prepare for a marathon.

The app said he ran 6.436 kilometers.

Now, we will use the conversion to find the number of kilometers in miles.

The conversion is:

1 mile = 1.609 kilometers

i.e. 1 kilometers= 1/1.609 miles.

Hence,

6.436 kilometers= 6.436/1.609 miles

**i.e. 6.436 kilometers= 4 miles.**

ANSWERED AT 28/01/2020 - 12:42 AM

QUESTION POSTED AT 28/01/2020 - 12:42 AM

Yes It is 69.36. Just multiply the 2 numbers.

ANSWERED AT 28/01/2020 - 12:37 AM

QUESTION POSTED AT 28/01/2020 - 12:37 AM

**Answer:**

1/2

**Step-by-step explanation:**

ANSWERED AT 28/01/2020 - 12:15 AM

QUESTION POSTED AT 28/01/2020 - 12:15 AM

If it appeared 36 times in 8 weeks...

36/8 = 4.5 times per week

36/8 = 4.5 times per week

ANSWERED AT 28/01/2020 - 12:12 AM

QUESTION POSTED AT 28/01/2020 - 12:12 AM

A^2 + b^2 = c^2...a and b are the legs and c is the hypotenuse

90^2 + 120^2 = c^2

8100 + 14400 = c^2

22500 = c^2.....take the sq rt of both sides...this gets rid of the ^2

sq rt 22500 = c

150 = c

so side a = 90 ft, side b = 120 ft, and side c = 150 ft

this is called the pythagorean theorem and it only works on right triangles

90^2 + 120^2 = c^2

8100 + 14400 = c^2

22500 = c^2.....take the sq rt of both sides...this gets rid of the ^2

sq rt 22500 = c

150 = c

so side a = 90 ft, side b = 120 ft, and side c = 150 ft

this is called the pythagorean theorem and it only works on right triangles

ANSWERED AT 28/01/2020 - 12:09 AM

QUESTION POSTED AT 28/01/2020 - 12:09 AM

Vertex form is just completeing th square

y=-2x^2+2x+2

first isolate the x terms

y=(-2x^2+2x)+2

undistribute the coefieicne infont of x^2 term

y=-2(x^2-x)+2

take 1/2 of -1 and square it (-1/2 sqared=1/4)

add negative and positive inside

y=-2(x^2-x+1/4-1/4)+2

complete the square

y=-2((x-1/2)^2)-1/4)+2

y=-2(x-1/2)^2+1/2+2

y=-2(x-1/2)^2+2.5

in form

y=a(x-h)^2+k

vertex=(h,k)

y=-2(x-1/2)^2+2.5

vertex is (0.5,2.5)

for x=6

input 6 for x and evaluate

y=-2(6)^2+2(6)+2

y=-2(36)+12+2

y=-72+14

y=-58

for x=6, the value is -58

the vertex form is

y=-2(x-1/2)^2+2.5

vetex is (0.5,2.5)

y=-2x^2+2x+2

first isolate the x terms

y=(-2x^2+2x)+2

undistribute the coefieicne infont of x^2 term

y=-2(x^2-x)+2

take 1/2 of -1 and square it (-1/2 sqared=1/4)

add negative and positive inside

y=-2(x^2-x+1/4-1/4)+2

complete the square

y=-2((x-1/2)^2)-1/4)+2

y=-2(x-1/2)^2+1/2+2

y=-2(x-1/2)^2+2.5

in form

y=a(x-h)^2+k

vertex=(h,k)

y=-2(x-1/2)^2+2.5

vertex is (0.5,2.5)

for x=6

input 6 for x and evaluate

y=-2(6)^2+2(6)+2

y=-2(36)+12+2

y=-72+14

y=-58

for x=6, the value is -58

the vertex form is

y=-2(x-1/2)^2+2.5

vetex is (0.5,2.5)

ANSWERED AT 28/01/2020 - 12:08 AM

QUESTION POSTED AT 28/01/2020 - 12:08 AM

**(3/3 · 2/3 · 3/3) in.^3 =23 in.^3**

** **

ANSWERED AT 28/01/2020 - 12:03 AM

QUESTION POSTED AT 28/01/2020 - 12:03 AM

Vineet can conclude that:

**B ) the system of equations does not have a solution.**

ANSWERED AT 27/01/2020 - 11:59 PM

QUESTION POSTED AT 27/01/2020 - 11:59 PM

1.

B becacause is the only with logic

2.

A because it is imposible to r = s

B becacause is the only with logic

2.

A because it is imposible to r = s

ANSWERED AT 27/01/2020 - 11:59 PM

QUESTION POSTED AT 27/01/2020 - 11:59 PM

**Answer: 648 yards.**

**Step-by-step explanation:**

**Given: **Central angle = 280°

Radius = 35 yards

The length of arc with central angle x and radius r is given by :-

Total distance = 171 +45 = 216 yards

**Now, if David runs around the field three times, he covers a distance = **

ANSWERED AT 27/01/2020 - 11:26 PM

QUESTION POSTED AT 27/01/2020 - 11:26 PM

Hello,

To divide a fraction by another fraction means multiplying this fraction by the opposite of the other fraction. Thus, we have :

-4/3 ÷ 2/-6 = -4/3 * -6/2 = **24/6 = ( 24 ÷ 6 ) / ( 6 ÷ 6 ) = ****4/1 = 4**

Bye :)

ANSWERED AT 27/01/2020 - 11:16 PM

QUESTION POSTED AT 27/01/2020 - 11:16 PM

Perimeter = 2 · width + 2· lenght

W = L - 3

18 = 2 · ( L - 3) + 2 · L

18 = 2 L - 6 + 2 L

18 + 6 = 4 L

24 = 4 L

L = 24 : 4 = 6 m

W = 6 - 3 =**3 m**

The width is 3 m.

W = L - 3

18 = 2 · ( L - 3) + 2 · L

18 = 2 L - 6 + 2 L

18 + 6 = 4 L

24 = 4 L

L = 24 : 4 = 6 m

W = 6 - 3 =

The width is 3 m.

ANSWERED AT 27/01/2020 - 11:13 PM

QUESTION POSTED AT 27/01/2020 - 11:13 PM

Depreciation is the process of a business body to allocate an assets cost over its duration of services or useful time in use. You can use the formula of Straight line method which the quotient of the difference of original cost of assets and the scrap value and the estimated life of assets. So in calculating the engraving machines has a 1.5k of yearly depreciation so 3K and more is the 2 year depreciation of its use.

ANSWERED AT 27/01/2020 - 01:44 AM

QUESTION POSTED AT 27/01/2020 - 01:44 AM

I believe it's B.
If I'm wrong tell me so I can see what I did wrong.

ANSWERED AT 27/01/2020 - 01:39 AM

QUESTION POSTED AT 27/01/2020 - 01:39 AM

**Answer:**

**The correct option is (b) The system of equations does not have a solution.**

**Step-by-step explanation:**

Let us understand this with the help of an example:

Consider the equations:

......(1)

and

......(2)

Now, solve this with the help of substitution method as shown:

The equation (1) can be written as:

x = 1 - y

Substitute x = 1 - y in equation (2).

9(1 - y)+ 9y = 7

9 - 9y + 9y = 7

9 = 7

Which is not true.

There is no mistake in calculation. The both equation are parallel to each other that is why there is no solution for the equation.

**Hence, the correct option is (b) The system of equations does not have a solution.**

The graph of these two lines is shown as in figure 1.

ANSWERED AT 27/01/2020 - 12:39 AM

QUESTION POSTED AT 27/01/2020 - 12:39 AM

B. a/b - X .............

ANSWERED AT 27/01/2020 - 12:37 AM

QUESTION POSTED AT 27/01/2020 - 12:37 AM

Diagonal of the square (d):

d = a · √2 = a · 1.414 ( a is a length of a side of the square )

a = 9 : 1.414 = 6.365 inches

Total length:

4 · a + 2 · d = 4 · 6.365 + 2 · 9 = 25.46 + 18 = 43.46 ≈**43.5 inches.**

Answer: A ) 43.5

d = a · √2 = a · 1.414 ( a is a length of a side of the square )

a = 9 : 1.414 = 6.365 inches

Total length:

4 · a + 2 · d = 4 · 6.365 + 2 · 9 = 25.46 + 18 = 43.46 ≈

Answer: A ) 43.5

ANSWERED AT 27/01/2020 - 12:35 AM

QUESTION POSTED AT 27/01/2020 - 12:35 AM

**Answer: The answer is (b). **

**Step-by-step explanation: **Let us consider a circle with centre "O" and radius OA=OB=r units. We know that the circumference of a circle is so the circumference of Circle 'C' is given by

Also, let us central angles of equal size of 'n°', the the number of sectors formed is given by

Now, the formula for arc length of a sector is given by

∴

Thus, **(b) is the correct option.**

ANSWERED AT 27/01/2020 - 12:31 AM

QUESTION POSTED AT 27/01/2020 - 12:31 AM

Group A:

1 dot at 9: 1 x 9 = 9

7 dots at 10: 7 x 10 = 70

8 dots at 15: 8 x 15 = 120

8 dots at 17: 8 x 17 = 136

6 dots at 19: 6 x 19 = 114

Mean: (9+70+120+136+114) / (1+7+8+8+6) = 449/30 = 14.97

Group B:

6 dots at 10: 6 x 10 = 60

5 dots at 14: 5 x 14 = 70

6 dots at 18: 6 x 18 = 108

5 dots at 25: 5 x 25 = 125

4 dots at 28: 4 x 28 = 112

4 dots at 29: 4 x 29 = 116

mean: (60+70+108+125+112+116) / (6+5+6+5+4+4) = 591 / 30 = 19.70

The group that has a lower mean age of painting students is Group A. Its mean is 14.97 or 15 years of age.

1 dot at 9: 1 x 9 = 9

7 dots at 10: 7 x 10 = 70

8 dots at 15: 8 x 15 = 120

8 dots at 17: 8 x 17 = 136

6 dots at 19: 6 x 19 = 114

Mean: (9+70+120+136+114) / (1+7+8+8+6) = 449/30 = 14.97

Group B:

6 dots at 10: 6 x 10 = 60

5 dots at 14: 5 x 14 = 70

6 dots at 18: 6 x 18 = 108

5 dots at 25: 5 x 25 = 125

4 dots at 28: 4 x 28 = 112

4 dots at 29: 4 x 29 = 116

mean: (60+70+108+125+112+116) / (6+5+6+5+4+4) = 591 / 30 = 19.70

The group that has a lower mean age of painting students is Group A. Its mean is 14.97 or 15 years of age.

ANSWERED AT 26/01/2020 - 11:48 PM

QUESTION POSTED AT 26/01/2020 - 11:48 PM

55 MPH.

Here's my thinking.

I started with the premise that an average speed is about 60 MPH. Well, that means in one hour, you would have driven 60 miles. In another hour, that's 120 miles. So, I added 120 to 15,851.

15, 951

+ 120

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

16, 071

But, I'm looking for a palindromic number that's close to that. And, sure enough, there IS such a number: 16, 061.

That would mean that you traveled 110 miles: (16,061 - 15,951)

Plug this data into the formula: S = D/T (Speed = distance divided by time)

S = 110/2

S = 55 (MPH)

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

Pretty cool, huh?

ANSWERED AT 26/01/2020 - 11:04 PM

QUESTION POSTED AT 26/01/2020 - 11:04 PM

16.24÷1000=0.01624
The 1000 has 3 zeros so move the decimal 3 spaces to the left.

ANSWERED AT 26/01/2020 - 11:02 PM

QUESTION POSTED AT 26/01/2020 - 11:02 PM

12÷5=2.4

2.4 minutes per watch together

so it takes john about 0.4 seconds to assemble a watch alone

2.4 minutes per watch together

so it takes john about 0.4 seconds to assemble a watch alone

ANSWERED AT 26/01/2020 - 10:54 PM

QUESTION POSTED AT 26/01/2020 - 10:54 PM