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mote1985 [20]
3 years ago
6

The Children's play area at the Community pool holds a total of 3185 gallons of water it takes 2.5 hours to fill the pool with 1

625 gallons of water how many gallons of water does the pool have after 1 hour find the unit rate
Mathematics
1 answer:
iren [92.7K]3 years ago
8 0

Answer:

650 gallons after 1 hour

Unit rate:650gallons/hour

Step-by-step explanation:

We are given that

Total capacity of pool=3185 gallon

In 2.5 hours water pool fill=1625 gallon

We have to find how many gallons of water fill in the pool after 1 hour and unit rate.

Using unitary method

1625 gallons of water takes time to fill the pool=2.5 hours

1 gallon of  water takes time to fill pool=\frac{2.5}{1625}hours

3185 gallon of water takes time to fill the pool=\frac{2.5}{1625}\times 3185 hours

3185 gallon of water takes time to fill the pool=4.9 hours

1 hours , water fill in  pool =\frac{1625}{2.5}gallons

1 hours , water fill in  pool=650 gallons

Unit rate: How many  volumes of water fill in 1 hour.

Unit rate=\frac{1625}{2.5}=650gallons/hour

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A cardboard box without a lid is to be made with a volume of 44 ft3. Find the dimensions of the box that requires the least amou
-BARSIC- [3]

Answer:

x =  3.53 ft

y - 3.53 ft

z = 3.53 ft

Step-by-step explanation:

given details

volume = 44 ft^3

let cardboard dimension is x and y and height be z

we know that area of given cardboard without lid is given as

A = xy + 2xy + 2yz

xyz   = 44 ft^3

To minimize area we have

A = xy + 2x (44/xy) + 2y(44/xy)

A = xy + (44/y) + (44/x)

we have

Ax = y - \frac{44}{x^2}

0 = yx^2 = 44................1

Ay = x - \frac{44}{y^2}

0 = x - \frac{44}{y^2}

xy^2 = 44 ..............2

from 1 and 2

yx^2 = xy^2

xy(y-x) = 0

xy = 0 or y = x

from geometry of probelem

x ≠ 0 and y ≠ 0

so y = x

x^3 = 44

x =  3.53 ft = y

z = 44/xy = 3.53

6 0
3 years ago
suppose you are the financial manager of the International Emirates University IEU. And you are requested at the end of the year
Irina18 [472]
So what this is is
many words

assuming year 0 is 2017

so compound first thing till 2020, take out 30000
the remaining is copmpounded til 2022, take out 50000
remaining is compounded for 1 more year and that is equal to 80000

so from 2017 to 2020, that is 5 years
from 2020 to 2022 is 2 years
from 2022 to 2023 is 1 year


work backwards

A=P(r+1)^t
last one
A=80000
P=?
r=0.08
t=1 year

80000=P(1.08)^1
divide both sides by 1.08
I would leave in fraction
20000000/27=P

now that is the remaining after paying 50000, after 2 years of compounding

so
50000+(2000000/27)=P(1.08)^2
solve using math
about
106374=P

now reverse back

5 years
paid 30000

30000+106374=P(1.08)^5
solve using math
92813.526=P
round
$92813.53




put $92813.53 in the fund
8 0
3 years ago
forty-seven marbles are shared between some children. each child receives six marbles and there are five marbles left over. how
Nadya [2.5K]

The total number of children can be calculated using linear equation in one variable. The marbles are shared among 7children.

<u>Solution</u>

Total number of marbles = 47

The number of marbles received by each child = 6

Let the number of children be x

Then according to the question'

Total number of marbles received by all children + 5 = Total number of marbles

6x + 5 = 47

6x = 47- 5

6x = 42

x = 7

now, the number of children is 7.

<h3>What is linear equation in one variable?</h3>
  • An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.
  • A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the conventional form Ax + By = C.
  • Here, the variables x and y, the coefficients A and B, and the constant C are all present.
  • A linear equation's graph will always be a straight line.
  • One-variable linear equations are fairly simple to solve. To determine the value of the unknown variable, the variables are divided and placed on one side of the equation, and the constants are combined and placed on the other side.

Know more about linear equation brainly.com/question/12974594

#SPJ4

6 0
2 years ago
Corey has 140 marbles. He gives 16 to his younger brother. He divides the rest equally into four bags. How many go in each bag?
madreJ [45]
31 marbles would go into each bag.
8 0
3 years ago
Y=3x-1 identify the slope and y-intercerpt
soldier1979 [14.2K]

Answer: The slope is 3 and the y-intercept is -1

Step-by-step explanation: This is right bro. 100%

7 0
3 years ago
Read 2 more answers
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