David and John own 37-1/2 acres of land. David owns 3/5 and John owns 2/5 of the land. They decide to section it off into ¾ acre lots to rent out as garden space for people who do not have garden space at their homes. The price for the entire summer for the rent of each lot is $50. Since there is no water supply to water the gardens, David and John have asked their renters if they would like a 100-gallon water tank or a 70-gallon water tank. 60% of the renters chose 100 gallons and 40% chose 70 gallons. David calculated that they would need to fill each tank 2 times and the cost of a gallon of water is $.05.

Answers

Answer 1

The total spent amount on water is $220

The total area is 37.5=75/2

The number of lots is 75/2/3/4=50 nos

Total rent is 50×50=2500

So 3/5 will go to david 2500×3/5=1500

2/5 will go to john 2500×2/5=1000

So 60% Renters choose 100 gallons

Total renters is 50

60% renters is 50×60%=30 nos

40% renters choose 70 gallons

40% of 50 is 20 nos

The tank fills twice

100×30+70×20=4400 to be filled

Per gallon cost is $0.05

So the total cost is 4400×0.5=$220

So they spent $220 on water

A fraction shows part of a whole. This entire may refer to a place or a group of places.A fraction can be a portion or section of any quantity out of a whole, where the whole can be number of any value.

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Related Questions

Dave took an exam with 40 questions. He answered 32 correctly. What
was his grade for the exam? Write the grade as a percent.
www
% (Round to the nearest percent as needed.)

Answers

Step-by-step explanation:

40 = 100%

1% = 100%/100 = 40/100 = 0.4

how many % are 32 ?

as many % as 1% (0.4) can fit into 32 :

32 / 0.4 = 80%

his grade was 80%.

How many board feet of wood are there in 750-2 x 10-16'?​

Answers

Answer:

Step-by-step explanation:

Newton’s law of cooling describes the rate at which an exposed body changes temperature through radiation which is approximately proportional to the difference between the object’s temperature and its surroundings, provided the difference is small.

Definition: According to Newton’s law of cooling, the rate of loss of heat from a body is directly proportional to the difference in the temperature of the body and its surroundings.

Answer:

Radioactivity is the phenomenon of the spontaneous disintegration of unstable atomic nuclei to atomic nuclei to form more energetically stable atomic nuclei. Radioactive decay is a highly exoergic, statistically random, first-order process that occurs with a small amount of mass being converted to energy. Since it is a first-order process, each radioactive species is characterized by its own half-life, the length of time in which an initially very large number of such nuclei will have decayed to only half the original number.

Step-by-step explanation:

A bowl weighs 11/40 pound express this weight as a decimal

Answers

Answer:

0.275 lb

Step-by-step explanation:

Use a calculator to divide 11 by 40.

11/40 = 0.275

Answer:

0.275 pounds

Step-by-step explanation:

divide 11 (numerator) by 40 (denominator).

Please help!! It’s due today!!

Answers

Answer:

A to B: 4

B to A: 1/4

a 42 inch string is to be cut so that one piece is 7 inches longer than the other. what is the length of the shorter piece?

Answers

Answer:

17.5 inches

Step-by-step explanation:

Let the length of the shorter piece be x

Shorter piece + Longer piece = Whole string

x + (x + 7) = 42

x + x + 7 = 42

Both sides minus 7 to remove the 7 from the left side of the equation.

2x + 7 - 7 = 42 - 7

2x = 35

x = 17.5 inches

Hope this helped! ^^

how many tablespoons are there in fluid ounces

Answers

Answer:

6

Step-by-step explanation:

There are six teaspoons in one fluid ounce - lots of conversion sites out there to get more info if needed.

write 15/7 as a mixed number

Answers

The result can be shown in multiple forms.

Exact Form:

15/7

Decimal Form:

2.142857

Mixed Number Form:

2   1/7

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Usually I try to explain what to do, but it's been a hot second from when I learned this. I uploaded a picture that might help.
This is a free tool for solving math problems if you ever need help: (no spaces or exclamation point) mat h way . co!m

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

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what is the slope of a line parallel line whose equation is 5x-2y=2

Answers

The slope of the given line and a line parallel to it is
5
2
.
Explanation:
Given:
5
x

2
y
=
11
is the standard form of a linear equation.
A line parallel to this line has the same slope. To determine the slope, solve for
y
to change the equation to slope-intercept form:
y
=
m
x
+
b
,
where:
m
is the slope and
b
is the y-intercept.
5
x

2
y
=
11
Subtract
5
x
from both sides.

2
y
=

5
x
+
11
Divide both sides by

2
.
y
=

5

2
x
+
11

2
Simplify.
y
=
5
2
x

11
2
The slope of the given line and a line parallel to it is
5
2
.

By which angle measures can the regular pentagon be rotated so it maps onto itself? Select each correct answer. 72° 72° 90° 90° 135° 135° 144° 144° 216° 216° 300°

Answers

The regular pentagon can be rotated through at angles of 72, 144°, 216°, and 288° to map it onto itself.

What is a regular polygon?

A polygon is a two-dimensional geometric shape having a finite number of sides. Single-direction segments are connected end to end to make a closed shape on the sides or edges of polygons. The locations where two line segments converge to construct an angle are referred to as vertices or corners.

It is given that:

The pentagon has five sides.

As we know, the standard pentagon has five vertices and internal angles that are each 72 degrees. A regular pentagon also possesses rotational symmetry.

The angles are 72°.144°,216°, and 288°.

Thus, the regular pentagon can be rotated through at angles of 72, 144°, 216°, and 288° to map it onto itself.

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35) A family is planning an annual picnic in Arizona. Rain is forecast for 45 days of the year, but when
rain is forecast, the prediction is correct only 90% of the time. What is the probability that it will rain on
the day of the picnic? Note that it is not a leap year.

Answers

Answer:

81/730

Step-by-step explanation:

The chance of picking a day forecasted to have no rain is 45/365.

There is a 90% chance it actually rains on this day, so the probability is

[tex](45/365)(0.9)=81/730[/tex]

The reading on a mercury manometer at 25 C ( open to the atmosphere at one end ) is 56.38 cm the local acceleration of gravity is 9.832m.s^-2 atmospheric pressure is 101.78kpa what is the absolute pressure in kpa being measured? The density of mercury at 25 C is 13.534 g.cm^-3

Answers

If the reading on a mercury manometer at 25 C is 56.38 cm the local acceleration of gravity is 9.832m.s^-2 atmospheric pressure is 101.78kpa The absolute pressure in kpa being measured is: 176.803kPa.

Absolute pressure

Using this formula

Pabs=Pg+Patm

Where:

Pabs= Absolute pressure.

Patm=Atmospheric pressure

ρm=Density of mercury

g=Acceleration of gravity

h=Reading on a mercury manometer

Let plug in  the formula

Pabs=101.78×10³Pa+( 13.534×10³kg/m×9.832 m/s²×0.5638 m.

Pabs=101.78×10³Pa+75.023×10³kg/m.s²

Pabs=101.78×10³Pa+75.023×10³Pa

Pabs=176.803×10³Pa

Pabs=176.803kPa

Therefore If the reading on a mercury manometer at 25 C is 56.38 cm the local acceleration of gravity is 9.832m.s^-2 atmospheric pressure is 101.78kpa The absolute pressure in kpa being measured is: 176.803kPa.

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(33) MOVIES Chaz has a collection of 15 movies downloaded on his media player. He decides to download 3 more movies each month. The function M(t) = 15 + 3t counts
the number of movies M(t) he has after t months. How many movies will he have after
8 months?

Answers

Answer: 39

Step-by-step explanation: 15 is the number of movies he has already. The t in the formula stands for months. So simply plug in 8 for t because we want to know how much has has after 8 months

15+3(8)

15+24

=39

If the sum of a number and two is tripled, the result is five less than twice the number . Find the number

Answers

If the sum of a number and two is tripled, the result is five less than twice the number, the number is - 11

Let the given number be x,

the number, x is added with 2 and then it is tripled which means       (x + 2)*3 is equal to five less than two times of that number which is 2x - 5

3(x + 2) = 2x - 5

3x + 6 = 2x - 5

3x - 2x = - 5 + (-6)

x = - 11

Therefore, If the sum of a number and two is tripled, the result is five less than twice the number, the number is - 11

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6 less the quantity 9 times a number

Answers

hi

with " x' a number then  :  

6 -9X

-4 + (-19) = ? I need a answer

Answers

Answer: - 23

Step-by-step explanation:

Hope this helps!

26.
12/2(x+6)=2x-9
21

Answers

[tex]\frac{12}{2} (x+6)=2x-9[/tex]

[tex]6x+36=2x-9[/tex]

[tex]6x - 2x = -9 + 36[/tex]

[tex]4x = -45[/tex]

[tex]x = -\frac{45}{4}[/tex]

Hope that I helped you!

A recent study of 50 U.S. chess players details such things as the number of years the players have been active and the chess ratings of the 50 players. (A chess rating is a number, with a higher number indicating greater expertise.) The chess rating data for the sample of 50 players are summarized in the following histogram.

Answers

Using the given histogram, we have that 90% of the players in the sample have scores that are less than 2300.

What is the missing information?

This problem is incomplete, but researching it on a search engine, we have that the histogram states as follows:

6 of these players have scores between 300 and 700.6 of these players have scores between 700 and 1100.13 of these players have scores between 1100 and 1500.14 of these players have scores between 1500 and 1900.6 of these players have scores between 1900 and 1300.5 of these players have scores between 2300 and 2700.

It asks the proportion of players in the sample with scores that are less than 2300.

What is an histogram?

An histogram is a graph that shows the number of times each element of x was observed.

Above, we already gave the amounts presented by histogram, and we have that 45 out of 50 players have scores that are less than 2300, hence the proportion is given by:

p = 45/50 = 0.9.

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Write the ratio as a fraction in lowest terms.
48 minutes to 3 hours

Answers

Answer: 4/15

Step-by-step explanation:

3 hours=

3*60 minutes=180 minutes

48:180=

(24*2):(90*2)=

(12*2*2):(45*2*2)=

(4*3*2*2):(15*3*2*2)=4/15

9. A submarine is 140 ft
below sea level. It rose 30 ft.
What integer describes the
new depth of the submarine?

Answers

Answer:

it's easy if you set your mind to it, think about it angain

Use dimensional analysis to solve the following conversions. Be sure to show all work and answer with the correct number of significant figures. Please help!!

Answers

By using dimensional analysis we find the following two results:

a) 0.30 m = 0.984 ft

b) 150 km / h = 1.554 mi / h

How to use dimensional analysis

In this problem we must find a quantity of a given unit that is equivalent to another value of another unit of the same kind. For instance, we must look up for the quantity in a unit length equivalent to another quantity in another unit length. Now we proceed to obtain all the equivalencies by simple rule of three:

a) 0.30 m × (1 ft / 0.3048 m) = 0.984 ft

b) 150 km / h × (1 mi / 1.609 km) × (1 h / 60 min) = 1.554 mi / h

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PACKS
(MP) Attend to Precision Write the numbers 108,567;
107,658; and 107,568 in order from least to greatest.

Answers

The arrangement is as follows 107,568 ; 107,658 ; 108,567

What is ascending order?

Ascending order is an arrangement from smallest to largest value.

Given:

108,567; 107,658; and 107,568

We have to arrange these numbers from least to greatest

smallest number = 107,568

largest number = 108,567

Hence, the arrangement is 107,568 ; 107,658 ; 108,567

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Which is bigger, 16\frac{1}{6}
6
1

or 0.16? Explain your reasoning.

Answers

Answer:

1/6 is greater than 0.16

Step-by-step explanation:

0.16 as a fraction is 4/25

4/25 < 1/6

Identify the values of a, b, and c that could be used with the quadratic formula to solve the equation. Enter a as a positive
integer value.
x²=8(x-5)

Answers

Answer:

See below

Step-by-step explanation:

Expand to get    x^2 - 8x + 40 = 0

  a = 1      b = -8    c = 40

Can somone help me with thisASAP
What is the turning point of the graph of f(x)=|x|+4 ?


(0, −4)

(0, 4)

(4, 0)

(−4, 0)

Answers

The turning point is the point where the function changes its slope for the given mode function f(x)=|x|+4 the turning point is at (0,4) so option (B) will be correct.

What is a graph?

A graph is a diametrical representation of any function between the dependent and independent variables.

The graph is easy to understand behavior of the graph.

Given the mode function,

f(x)=|x|+4

For x < 0 the function f(x) will be

f(x) = -x + 4

For x > 0 the function f(x) will be

f(x) = x + 4

Now,

Slope at x < 0 → f'(x) = -1

Slope at x > 0 → f'(x) = +1

Since the slope is changing at x = 0 there fore x = 0 will be the turning point of the graph.

Hence "The turning point of the given mode function f(x)=|x|+4 will be at x = 0".

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one cubic foot holds 7.48 gallons of water and one gallon of water 8.33 pounds. How much does 5.1 cubic ft of water weigh in pounds? In tons?

Answers

The 5.1 cubic ft of water weighs 317.77 pounds

The weight of 5.1 cubic ft of water in tons is 0.16 tons

Calculating weight

From the question, we are to calculate how much 5.1 cubic ft of water weigh in pounds

From the given information,

"one cubic foot holds 7.48 gallons of water"

Therefore,

5.1 cubic ft of water = 5.1 × 7.48 gallons of water

= 38.148 gallons of water

Also,

"one gallon of water 8.33 pounds"

That  is,

38.148 gallons of water = 38.148 × 8.33 pounds

= 317.77 pounds

Thus, 5.1 cubic ft of water weigh 317.77 pounds

For the weight in tons

NOTE: 1 pounds = 0.0005 tons

∴ 317.77 pounds = 0.0005 × 317.77 tons

= 0.158886 tons

≈ 0.16 tons

Hence, the weight of 5.1 cubic ft of water in tons is 0.16 tons

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Why do banks charge a fee when clients transact on their accounts?​

Answers

Answer:

Banks charge fees to help make a profit.

Step-by-step explanation:

Bank fees allow financial institutions to recoup operating expenses. Banks also make money on loans, via interest and other fees.

Banks charge fees so they can make profit.

Write an equation letting

x

be the unknown number.


two subtracted from a number is 2.

Answers

Answer: x-2=2 (x=4)

Step-by-step explanation:

4 minus 2 equals 2

Sterling already owes his parents $40. He asks to borrow money from them to purchase candy bars for his friends that cost $1.50 each. The rule in Sterling's house is that he can owe his parents no more than $50. How many candy bars can he purchase and still stay within the maximum borrowing amount?

Answers

Answer: 6

Step-by-step explanation: 6 because then he would owe his parents 49 dollars

​​If it is given that m ∠ J K L = m ∠ X Y Z and m ∠ X Y Z = m ∠ Q R S , then concluding that m ∠ J K L = m ∠ Q R S is an example of:

Answers

Concluding that m∠ J K L = m ∠ Q R S is an example of: substitution property of equality

What is Substitution Property of Equality?

The substitution property of equality states that 'If a variable x is equal to another variable y, then x can be substituted in place of y in any equation/expression and y can be substituted in place of x in any equation/expression.

Now, we are told that m ∠ J K L = m ∠ X Y Z and m ∠ X Y Z = m ∠ Q R S.

Thus, concluding that m ∠ J K L = m ∠ Q R S is an example of: substitution property of equality

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Determine whether the equation defines y as a function of x. y equals = 8 Over x Does the equation define y as a function of​ x?

Answers

Yes , the equation y =8ˣ  defines y as a function of x.

An mathematical function could be a function within the kind f (x) = aˣ, wherever “x” could be a variable and “a” could be a constant that is termed the bottom of the perform and it ought to be bigger than zero.An mathematical function is outlined by the formula f(x) = aˣ, wherever the input variable x happens as a fan. The graph depends on the mathematical function and it depends on the worth of the x.

Yes, because to fulfill the condition of an equation to be a function, a particular value of x must produce only one value of y and y =8ˣ fulfills the condition. This can be also tested using horizontal line test, which only cuts the graph at one point only,

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