During the summer, a property owner will pay $24.72 plus $1.32 per hcf for Conservation Usage. The bill for Conservation Usage would be between or equal to $31.32 and $52.12. How many hcf can the owner use if she wants her usage to stay in the conservation range? Enter truncated values for answers. Example: Enter 8.93 as 8 and 6.34 as 6.

Answers

Answer 1

Answer:

The owner can use between 5 and 20 HCF to stay in the conservation range

Step-by-step explanation:

Let's calculate the number of HCF, this way:

Lower value = (31.32 - 24.72)/1.32 = 6.60/1.32 = 5

Upper value = (52.12 - 24.72)/1.32 = 27.4/1.32 = 20.76 = 20 as truncated value

The owner can use between 5 and 20 HCF to stay in the conservation range

Answer 2
Final answer:

The owner can use between 5 and 20 hcf to stay within the conservation range.

Explanation:

To find the range for the number of hcf the owner can use, we need to subtract the base cost from the maximum and minimum bill amounts. The base cost is $24.72, so subtracting this from the maximum bill amount of $52.12 gives us $27.40. Similarly, subtracting the base cost from the minimum bill amount of $31.32 gives us $6.60. In order to determine the maximum and minimum number of hcf, we divide these amounts by the additional cost per hcf, which is $1.32.

The maximum number of hcf would be $27.40 divided by $1.32, which is approximately 20 hcf. The minimum number of hcf would be $6.60 divided by $1.32, which is approximately 5 hcf.

Therefore, the owner can use between 5 and 20 hcf to stay within the conservation range.

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Related Questions

the sum of two numbers is 22. the difference is 6 what are the two numbers?

Answers

Answer:

8,14

Step-by-step explanation:

Let one number = x

Other number = 22-x

x - (22-x) = 6

x - 22 +x =6

2x = 6 + 22

2x = 28

x = 28/2

x = 14

Other number = 22 - 14 =8

2726 divided by 36 = ?

Answers

Answer:

75.7(repeating)

Step-by-step explanation:

-3/5 x 2/-9 x 8 write your answer in simplest form.

Answers

Answer:

  16/15

Step-by-step explanation:

  [tex]\dfrac{-3}{5}\cdot\dfrac{2}{-9}\cdot 8=\dfrac{3\cdot 2\cdot 8}{5\cdot 9}=\dfrac{2\cdot 8}{5\cdot 3}=\dfrac{16}{15}[/tex]

The two minus signs cancel, so the result is positive.

Show whether the point (3,5) satisfies the inequality
y> 2x -4.
Answer with supporting work:

Answers

Answer:

true

Step-by-step explanation:

2*3=6-4=2 5>2 yeaaaaaa

Please help.....no one would help me so PLZZZZ

Answers

Answer:

Step-by-step explanation:

a) r = 10/2 = 5 feet

Area of floor =πr² =3.14*5*5 = 78.5 feet²

B) h = 3 foot

Volume of cylinder = πr²h = 3.14*5*5*3 = 235.5 cubic feet

Volume of hemisphere =2/3πr³= 2*3.14*5*5*5/3=261.67 cubic feet

Volume of space inside the observatory = 497.17 cubic feet

Which regression equation best fits these data?

Answers

Answer:

the answer is b

Step-by-step explanation:

trust me im looking at the answer rn

Answer:

B

Step-by-step explanation: A.P.E.X

how many cups of milk are in a 0.870 gallon of milk

Answers

Answer: The Answer would be 18.6 cups.

Step-by-step explanation: Kinda dont know how to explain it lol

Use the rule (x,y) (y,-x) to graph the image of the triangle at right.

Answers

Step-by-step explanation:

Transforming the coordinates from (x, y) to (y, x) leaves the triangle unchanged.

Step-by-step explanation:

When the coordinates are being transformed from (x, y) to (y, x) such that A(1,3) B(-3,4) C(-4,2) are transformed to A(3,1) B(4,-3) C(-4,2), the nature of the triangle remains the same. In other words, it doesn't turn either way. The reason is because the coordinates are the points of intersection between x and y so whichever axis (x or y axes) is plotted first does not transform the given shape.

Answer:

7

Step-by-step explanation:

If it takes a whole can of tuna to make 16 servings of tuna salad, what percent of the can will it take to make 5 servings of tuna salad?

Answers

Answer:

31.25%

Step-by-step explanation:

Percent of can = 5/16 × 100%

= 31.25%

The 31.25% of the can it will take to make 5 servings of tuna salad if it takes a whole can of tuna to make 16 servings of tuna salad.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

If it takes a whole can of tuna to make 16 servings of tuna salad,

Percent of can = 5/16×100

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division.

Percent of can = 31.25 %

Thus, the 31.25% of the can it will take to make 5 servings of tuna salad if it takes a whole can of tuna to make 16 servings of tuna salad.

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Look at the image and answer You ONLY GET POINTS FOR ANSWERING CORRECTLY ​

Answers

Answer:

the measure of xy is 9

Debra’s rectangular vegetable garden measures 9 1/3 yards by 12 years.

Answers

Answer:

Debra needs to buy 32 bottles of a quarter of fertilizer, that will cost her $ 473.28 to fertilize her garden of 1,008 square feet or 112 square yards of area.

Correct statement and question:

Debra’s rectangular vegetable garden measures 9 1/3 yards by 12 yards. A bottle of fertilizer cost $14.79. If Debra needs to mix 1/8 cup of fertilizer with water for each square foot of her garden, how many cups of fertilizer did she need? How can you persevere in solving this problem? And what's the answer?

Source:

Previous question that can be found at brainly

Step-by-step explanation:

1. Let's review the information given to us to answer the question properly:

Length of the garden = 12 yards

Width of the garden = 9 1/3 = 9.33 yards

Cost of a bottle of fertilizer = $ 14.79

Ratio of fertilizer : water for the garden = 1/8 cup for each square foot

2. How many cups of fertilizer did she need?

For answering the question, we need to know the area of the garden and convert it to square feet, this way:

Area = Length of the garden * width of the garden

Area = 12 * 9.33 = 111.96 square yards, that we will round to 112

Let's recall that 1 square yard = 9 square feet

Area = 112 * 9 = 1,008 square feet

Now, we can calculate the cups of fertilizer needed:

Cups of fertilizer = 1,008/8 = 126

Finally, for calculating how many bottles of fertilizer does Debra need to buy, let's assume that each bottle has a quart because that information wasn't given to us.

Let's recall that 1 cup = 1/4 quart

126 cups = 32 quarts ⇒ 32 bottles

Cost of 32 bottles of fertilizer = 32 * 14.79

Cost of fertilizer = $ 473.28

Final answer:

The subject of this question is Mathematics.

Explanation:

The subject of this question is Mathematics because it involves measuring the dimensions of a rectangular vegetable garden.


A certain forest covers an area of 2300 km^2. Suppose that each year this area decreases by 4%. What will the area be after 12 years?
Round your answer to the nearest square kilometer.

Answers

The value of area after 12 years is 1409 square kilometer

Solution:

Given that,

A certain forest covers an area of 2300 square kilometer

Suppose that each year this area decreases by 4%

To find: Area after 12 years

This is decreasing function

The decrease function is given as:

[tex]y = A(1-r)^t[/tex]

Where,

y is the value after t years

A = initial amount

r = decreasing rate in decimal

t is the number of years

Here in this sum,

A = 2300

t = 12 years

[tex]r = 4 \% = \frac{4}{100} = 0.04[/tex]

Substituting the values in formula,

[tex]y = 2300(1-0.04)^{12}\\\\y = 2300(0.96)^{12}\\\\y = 2300 \times 0.612709\\\\y = 1409.23 \approx 1409[/tex]

Thus value of area after 12 years is 1409 square kilometer

Help on this question plz

Answers

Answer:it is function and it is 25

Step-by-step explanation:it is 25 in the y inputs because every time the x input increases by one the y input increases by 25

it is a function because each one of the “x” imputes has there own “y” input and if they all have there own that makes it a function. but it there were 2 “y” inputs pointing to one “x” input that would make it a non function

What is the sum of 9/10+3/8 ​?

A. 3/20

B. 21/40

C. 1 9/40

D. 1 11/40

Answers

this would be D, 1 11/40. 40 is the lowest number 8 and 10 have in common.

give me the answer to 588 multiplied by 48

Answers

Answer:

28,224

Step-by-step explanation:

use photomath it will help u with math problems.

Answer:28224

Step-by-step explanation:

(8x7) x 1/100 ×1/10​

Answers

Answer:

I put it into a calculator and got this: 7/125

Step-by-step explanation:

It is equal to 8 x 7 x 1 / 100 x 1 / 10

And multiplying something by 1 doesn't change it. So we can get rid of that:

8 x 7 / 100 / 10

8 x 7 is 56, so we can simplify it to

56 / 100 / 10

56 / 100 is 0.56, and 0.56 / 10 is 0.056. So the final answer is 0.056.

Help me please, thanks .....

Answers

To find how much each friend get's we can put this into a ratio or fraction. 4/6 is the fraction of apples to friends. This can be simplified;

4/6 = 2/3 (Each person gets 2/3 of an apple)

Best of Luck!

The graph plots four equations, A, B, C, and D: Line A joins ordered pair negative 6, 16 and 9, negative 4. Line B joins ordered pair negative 2, 20 and 8, 0. Line C joins ordered pair negative 7, negative 6 and 6, 20. Line D joins ordered pair 7, 20 and 0, negative 7.

Which pair of equations has (2, 12) as its solution? (4 points)

Equation A and Equation C
Equation B and Equation C
Equation C and Equation D
Equation B and Equation D

Answers

Answer:

The pair of equations which has (2,12) as its solution is,

equation B and equation C.

                           

Step-by-step explanation:

According to the question,

equation of line A is [tex]\frac {y - 16}{x + 6} = \frac {16 + 4}{-6 - 9}[/tex]

                            or, [tex]\frac {y - 16}{x + 6} = \frac {-4}{3}[/tex]

                            or, [tex] 3y - 48 = -4x - 24[/tex]

                            or, 3y + 4x = 24 ------------------(1)

Now, the point (2, 12) doesn't satisfy (1). Hence, (2,12) is not a solution for the line A.

Equation of line B is, [tex]\frac {y - 20}{x + 2} = \frac {20 - 0}{-2 - 8}[/tex]

                              or, [tex]\frac {y - 20}{x + 2} = -2[/tex]

                              or, [tex] y - 20 = -2x  - 4[/tex]

                              or, y + 2x = 16  -----------------------------(2)

The point (2,12) is satisfied by (2). Hence, (2, 12) is a solution for line B.

Equation of line C is, [tex]\frac {y + 6}{x + 7} = \frac {20 + 6}{6 + 7}[/tex]

                              or, [tex]\frac {y + 6}{x + 7} = 2[/tex]

                              or, y + 6 = 2x + 14

                              or. y - 2x = 8 -----------------------------------(3)

The point (2, 12) is satisfied by (3). Hence, (2 , 12) is a solution for the line C.

Equation of line D is, [tex]\frac {y - 20}{x - 7} =\frac {20 + 7}{7 - 0}[/tex]

                               or, [tex]\frac {y - 20}{x - 7} = \frac {27}{7}[/tex]

                               or, 7y - 140 = 27x - 189

                               or, 7y  - 27x = -49----------------------------------------(4)

The point (2, 12) is not satisfied by (4). hence, (2, 12) is not a solution of the line D

Hence, the pair of equations which has (2,12) as its solution is,

equation B and equation C.

                           

What is the slope of the line that contains the points (-2,5) and (6-3)

Answers

Answer: m = -1

Step-by-step explanation: In this problem we're asked to find the slope of the line that contains the points (-2,5) and (6,-3).

Using our slope formula, we take the second y minus the first y which in this case is -3 - 5 over our second x minus our first x which in this case is 6 - -2.

-3 - 5 simplifies to -8 and remember that minus a negative can be thought of as plus a positive so 6 - (-2) can be thought of as 6 + (+2) which is 8.

Now we have -8/8. Notice that our slope can be simplified one step further so we have m = -1.

The variable that's used to represent slope is m.

x=—2; x+3y=4 what is y’s value

Answers

Answer:

x = -2

x+3y = 4

This is the substitution method. You need to plug the -2 in x's place to get y.

-2+ 3y = 4

3y = 4+2

3y = 6

y= 6/3

y= 2

Solve the equation. Simplify your answer if possible.
(1/8)t-(5/2)=1​

Answers

Answer:

The answer is, t = 28.

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

1

8

t+

−5

2

=1

Step 2: Add 5/2 to both sides.

1

8

t+

−5

2

+

5

2

=1+

5

2

1

8

t=

7

2

Step 3: Multiply both sides by 8.

8*(

1

8

t)=8*(

7

2

)

t=28

What is 110% expressed as a fraction? 55/5 110%/1 11/10

Answers

Answer:

11/10

Step-by-step explanation:

Estimate the sum by rounding to the tens place

4,351
4,174
3,233
+5,155
———

Answers

The sum of them is 16,910 would be your answer

What is the answer to -1/2(1/4x-3/8)

Answers

Here's the answer your welcome

What is the average speed of a car that travels 80 km in 1.5 hours

Answers

Answer:

53 1/3 km/h

Step-by-step explanation:

The car is going at 80km in 1.5 hours, so if you divide that value you get 26 2/3 km for every half hour, now you would want to multiply this times 2 to find the value for every hour, so then this would give you the answer 53 and 1/3 kilometers per hour.

compare using <, >, = 5+(-4)____-4 + (-7)

Answers

Good morning,

Answer:

5+(-4) > -4 + (-7)

Step-by-step explanation:

5+(-4) = 5 - 4 = 1

-4 + (-7) = -(4+7) = -11

since  1 > -11 then 5+(-4) > -4 + (-7)

:)

A pasta factory made 7.8 pounds of pasta in 8 minutes. How much pasta, on average, did the factory make each minute?

Answers

Answer:

0.975 pasta pounds per minutes

Step-by-step explanation:

8 (X amount of pasta) = 7.8 Pounds

x= 7.8/8

x = 0.975

In △FEG , point H is between points E and F, point J is between points F and G, and HJ¯¯¯¯¯∥EG¯¯¯¯¯ .

EH=14 , HF=26 , and FG=60 .

What is FJ ?

Answers

Answer:

[tex]FJ=39\ units[/tex]

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem

△FEG is similar with △FHJ -----> by AA Similarity Theorem

so

[tex]\frac{FE}{FH}=\frac{FG}{FJ}[/tex]

we have

[tex]FE=HF+EH=26+14=40\ units[/tex]

[tex]FH=HF=26\ units[/tex]

[tex]FG=60\ units[/tex]

substitute the given values

[tex]\frac{40}{26}=\frac{60}{FJ}[/tex]

[tex]FJ=26(60)/40\\FJ=39\ units[/tex]

Answer:

The answer is 39!!

Step-by-step explanation:

what is 1/3 x 12 help me quick

Answers

Answer:

12/3 = 4

Step-by-step explanation:

The answer to 1/3 x 12 is 4

Complete the proof to show that ABCD is a
parallelogram.
BC || AD and CD || BĀ because the
Therefore,
ABCD is a parallelogram because both pairs of opposite
sides are parallel
B(-3,4)
_C(2,2)
lengths of consecutive sides are not equal
slopes of opposite sides are equal
lengths of opposite sides are equal
slopes of consecutive sides are not equal
-5-4
-3
A(-2,-2)
D(3-4)
The slope of is 4-2--
The slope of AD is 4-4-3) -
2 - -
Save and Exit
Next
Subunit

Answers

Answer:

length iof opposite sides are equal

Step-by-step explanation:

Final answer:

To prove ABCD is a parallelogram, we showed that the given pairs of opposite sides are parallel and the slopes of opposite sides are equal, confirming the definition of a parallelogram.

Explanation:

To complete the proof that ABCD is a parallelogram, we must show that both pairs of opposite sides are parallel and that the lengths of opposite sides are equal or that the slopes of opposite sides are equal. Since it's given that BC is parallel to AD and CD is parallel to AB, the condition for parallel sides is satisfied. To fulfill the second condition, we calculate the slopes of the sides.

The slope of BC is calculated using the coordinates of B(-3,4) and C(2,2):

Slope of BC = (4 - 2) / (-3 - 2) = 2 / -5

The slope of AD, using the coordinates A(-2,-2) and D(3, -4), is:

Slope of AD = (-4 - (-2)) / (3 - (-2)) = (-2) / 5

Because the slopes of BC and AD are negative reciprocals, BC and AD are parallel. A similar calculation can be made for AB and CD, using their corresponding coordinates, to confirm that their slopes are equal. Thus, because both pairs of opposite sides are parallel, ABCD is a parallelogram.

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