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2 years ago

What is and why 41/2+31/4=

2 answers:

8 0

In order to add these fractions, you must make sure that the denominators are the same. Since one of the denom. is 4 and the other is 2, we can just multiply the fraction of 41/2 by 2. Remember to multiply top and bottom.

41/2 * 2/2 = 82/4 Now that the denom. are 4 you may now add the numerators.

82/4 + 31/4 = 113/4 if you are asked to give it as a mixed fraction then it will be 28 1/4

hope this helps

Vladimir79 [104]2 years ago

5 0

41 divided by 2 plus 31 divided by 4 equals to 28.225

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A tank can be filled by one pump in 3.2 hours and by another pump in 80 minutes. A third pump can drain the tank in 2 hours and

Mademuasel [1]

Answer:

Rounding to the nearest minute, it would take 95 minutes, or 1 hour and 35 minutes.

Step-by-step explanation:

Let's convert each time to minutes:

3.2 hours = 192 minutes

80 minutes = 80 minutes

2 hr 20 min = 140 minutes

Next, let's find the least common multiple:

LCM(192, 80, 140) = 6720

So let's say the volume of the tank is 6720 units. The speed of each pump is therefore:

Pump 1 = 6720 units / 192 minutes = 35 units/minute

Pump 2 = 6720 units / 80 minutes = 84 units/minute

Pump 3 = -6720 units / 140 minutes = -48 units/minute

Their combined speed is:

35 + 84 − 48 = 71 units/minute

So the time to fill the tank is:

6720 units / (71 units/minute) = 94.65 minutes

Rounding to the nearest minute, it would take 95 minutes, or 1 hour and 35 minutes.

6 0

3 years ago

How many 330ml bottles could you completely fill with 4 litres of water

Neko [114]

Answer:

12.1212-repeating

Step-by-step explanation:

Milliliters are 1000 times smaller (Larger in number, smaller in size). So when you calculate 4 liters times 1000, you would get 4000 milliliters. Then you would divide the 4000 by 330, and then you would get 12.121212-Repeating decimal.

7 0

2 years ago

If -xy – 5+ y^2+ x^2= 0 and it is known that dy/dx= y-2x/-x+2y, find all

sleet_krkn [62]

Answer:

There is no point of the form (-1, y) on the curve where the tangent is horizontal

Step-by-step explanation:

Notice that when x = - 1. then dy/dx becomes:

dy/dx= (y+2) / (2y+1)

therefore, to request that the tangent is horizontal we ask for the y values that make dy/dx equal to ZERO:

0 = ( y + 2) / (2 y + 1)

And we obtain y = -2 as the answer.

But if we try the point (-1, -2) in the original equation, we find that it DOESN'T belong to the curve because it doesn't satisfy the equation as shown below:

(-1)^2 + (-2)^2 - (-1)*(-2) - 5 = 1 + 4 + 2 - 5 = 2 (instead of zero)

Then, we conclude that there is no horizontal tangent to the curve for x = -1.

3 0

2 years ago

I need help with part B plz help me asap

Sloan [31]

Answer:

see below PLEASE GIVE BRAINLIEST!!

Step-by-step explanation:

A) 2.40A ≦ 9.60

B) You can choose to purchase between 0 and 4 avacados. 4 is the maximum you can buy because 2.40 x 4 = 9.60 and that is all the money you have and more than 4 would make the equation incorrect. 0 is the least you can buy since you can't purchase a negative amount of something.

So, A ≦ 4

6 0

3 years ago

PLEASE HELPPP

MAXImum [283]

The complete question is

Khianna is trying to help her neighbor Mrs. Johnson design and estimate the cost of a new square patio to be made from 16 inch square pavers. The pavers are sold in boxes of 12 and cost $99.99

Part I: Scale Drawing

Decide on a scale factor to represent the distance covered by the patio. Then, use the space below to design Mrs. Johnson’s patio to be a square that is at least 8 feet on each side.

a) Scale Factor: ____________________________

b) Use a straightedge and a ruler to draw to scale a design for Mrs. Johnson’s patio:

c) What are the dimensions of Mrs. Johnson’s patio?

d) Calculate the area of Mrs. Johnson’s patio. Show all work.

 e) How many pavers will be needed? Show all work.

 f) What will it cost to build the patio? Show all work.

Part II: Bigger Design

There is a saying that bigger is better, so why not double the dimensions of Mrs. Johnson’s patio to make the side measurement twice as big? Mrs. Johnson and I think that it would better meet her needs. After seeing the original estimation, she thinks that she could afford to double the size. I explained that making the patio twice as big would mean twice the cost. Mrs. Johnson says, “Let’s do it!”

a) What would be the new dimensions of Mrs. Johnson’s patio?

 b) Calculate the new area of Mrs. Johnson’s patio. Show all work.

 c) How many pavers will be needed for the new design? Show all work.

 d) What will it cost to build the bigger patio? Show all work.

 e) Is Khianna right? Will doubling the size of the patio, double the cost?


ANSWERS

Part I: Scale Drawing
Decide on a scale factor to represent the distance covered by the patio. Then, use the space below to design Mrs. Johnson’s patio to be a square that is at least 8 feet on each side.
a) Scale Factor: 1 in/ 2 ft
Use a straightedge and a ruler to draw to scale a design for Mrs. Johnson’s patio
b) see the picture attached
Mrs. Johnson’s patio to be a square that is 10 ft x 10 ft
c) What are the dimensions of Mrs. Johnson’s patio? the dimensions of Mrs. Johnson’s patio are 10 ft x 10 ft
d) Calculate the area of Mrs. Johnson’s patio. Show all work.

area of the square=b²
where
b is the length side of the square
b=10 ft
so
Area=10²-----> area of Mrs. Johnson’s patio=100 ft²

e) How many pavers will be needed? Show all work.

we know that
1 paver is 16 in x 16 in dimensions
convert in to ft
1 ft----------->12 in
x ft-----------> 16 in
x=16/12-----> x=4/3 ft
so
1 paver is (4/3) ft x (4/3) ft dimensions
area of one paver=(4/3)²----> 16/9 ft²

if one paver has an area of----------------> 16/9 ft²
x pavers-----------------------> 100 ft²
x=100/(16/9)------> x=100*9/16-----> x=56.25 pavers

if one box --------------> 12 pavers
x box---------> 56.25 pavers
x=56.25/12-----> x=4.68 box-------> x=5 boxes
5 boxes of pavers will be needed

f) What will it cost to build the patio? Show all work.
the cost of one box is--------> $99.99
5 boxes-----------> x
x=5*$99.99------>x=$499.95
the cost to build the patio is $499.95

Part II: Bigger Design
There is a saying that bigger is better, so why not double the dimensions of Mrs. Johnson’s patio to make the side measurement twice as big? Mrs. Johnson and I think that it would better meet her needs. After seeing the original estimation, she thinks that she could afford to double the size. I explained that making the patio twice as big would mean twice the cost. Mrs. Johnson says, “Let’s do it!”

a) What would be the new dimensions of Mrs. Johnson’s patio?
the new dimensions of Mrs. Johnson’s patio are 20 ft x 20 ft

b) Calculate the new area of Mrs. Johnson’s patio. Show all work.
area of the square=b²
where
b is the length side of the square
b=20 ft
so
Area=20²-----> new area of Mrs. Johnson’s patio=400 ft²

c) How many pavers will be needed for the new design? Show all work.
1 paver is (4/3) ft x (4/3) ft dimensions
area of one paver=(4/3)²----> 16/9 ft²
if one paver has an area of----------------> 16/9 ft²
x pavers-----------------------> 400 ft²
x=400/(16/9)------> x=400*9/16-----> x=225 pavers

if one box --------------> 12 pavers
x box---------> 225 pavers
x=225/12-----> x=18.75 box-------> x=19 boxes
19 boxes of pavers will be needed

d) What will it cost to build the bigger patio? Show all work.
the cost of one box is--------> $99.99
19 boxes-----------> x
x=19*$99.99------>x=$1899.81
the cost to build the bigger patio is $1899.81

e) Is Khianna right? Will doubling the size of the patio, double the cost?
Khianna is wrong, doubling the dimensions, the area quadruples, therefore also costs quadruple

6 0

2 years ago

Read 2 more answers