An item has increased by
23% to £58.
What was the original
price?

The correct matches are: 4 in. → 10.2 cm   ,   7 kg → 15.4 lb

6 gal → 22.7 L   and  65 ft → 19.8 m.

Conversions refer to the process of changing a measurement from one unit to another unit that measures the same quantity.

For example, converting distance from miles to kilometers, or converting weight from pounds to kilograms.

Here are the conversions:

1 inch = 2.54 cm (approx.)

1 kg = 2.205 lb (approx.)

1 gal = 3.785 L (approx.)

1 ft = 0.3048 m (approx.)

Using these conversions, we can find the equivalent measures:

4 in. → 4 × 2.54 = 10.16 ≈ 10.2 cm

7 kg → 7 × 2.205 = 15.435 ≈ 15.4 lb

6 gal → 6 × 3.785 = 22.71 ≈ 22.7 L

65 ft → 65 × 0.3048 = 19.812 ≈ 19.8 m

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An order-preserving function is one where x < y implies f(x) < f(y). An isomorphism is a one-to-one order-preserving function between two partially ordered sets, while an automorphism is an isomorphism of a set to itself.

In the given excerpt, it explains the concepts of order-preserving functions, isomorphisms, and automorphisms in the context of partially ordered sets.

Order-Preserving Function:

A function f: P -> Q, where P and Q are partially ordered sets, is said to be order-preserving if for any elements x and y in P, if x < y, then f(x) < f(y). In other words, the function preserves the order relation between elements in P when mapped to elements in Q.

Increasing Function:

If P and Q are linearly ordered sets, then an order-preserving function is also referred to as an increasing function. It means that for any elements x and y in P, if x < y, then f(x) < f(y).

Isomorphism:

A one-to-one function f: P -> Q is called an isomorphism of P and Q if it satisfies two conditions:

a. f is order-preserving: For any elements x and y in P, if x < y, then f(x) < f(y).

b. f is onto (surjective): Every element in Q has a pre-image in P.

When an isomorphism exists between (P, <) and (Q, <), it means that the two partially ordered sets have a structure that is preserved under the isomorphism. In other words, they have the same ordering relationships.

Automorphism:

An automorphism of a partially ordered set (P, <) is an isomorphism from P to itself. It means that the function f: P -> P is both order-preserving and bijective (one-to-one and onto). Essentially, an automorphism preserves the structure and order relationships within the same partially ordered set.

These concepts are fundamental in understanding the relationships and mappings between partially ordered sets, particularly in terms of preserving order, finding correspondences, and exploring the symmetry within a set.

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Answer: c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

It goes up one and over two and has a y-intercept of 3

Answer:

c pls give brainiest

Step-by-step explanation:

the y-intercept is 3

the slope is less than 1 so it must be c

Hey there!

\(Answer:\boxed{71}\)

\(Explanation:\)

\(x+329=400\)

To solve, try 400 - 329.

\(400-329=71\)

\(\boxed{71}\text{ is the answer.}\)

Hope this helps!

\(\text{-TestedHyperr}\)

Answer:

70

Step-by-step explanation:

329+71=400

Answer:

Sure what do you need?

Step-by-step explanation:

Answer: look at the picture

Step-by-step explanation: Hope this help :D

The difference between the depths in February and July is 31 feet.

The method of measuring depth depends on what we are trying to measure the depth of. Here are some general methods for measuring different types of depth:

Depth of water: The depth of water can be measured using a sounding device such as a sonar or a simple depth gauge. A sonar uses sound waves to determine the distance from the water's surface to the bottom. A depth gauge is a simple device that measures the distance from the surface of the water to the bottom using a weight and a line.

Depth of a hole: The depth of a hole can be measured using a tape measure or a ruler. Simply insert the measuring device into the hole and measure the distance from the top of the hole to the bottom.

Depth of a trench: The depth of a trench can be measured using a measuring tape or a surveyor's level. Place the measuring device at the edge of the trench and measure the distance from the top of the trench to the bottom.

Depth of a pool: The depth of a pool can be measured using a pool depth marker or by using a measuring tape. A depth marker is usually located on the side of the pool and indicates the depth at various points. Alternatively, you can use a measuring tape to measure the distance from the surface of the water to the bottom of the pool.

Depth of a well: The depth of a well can be measured using a well sounder or a tape measure. A well sounder is a device that sends a signal down the well and measures the time it takes for the signal to bounce back. The time it takes is then used to calculate the depth of the well. Alternatively, a tape measure can be used to measure the distance from the surface of the water to the bottom.

Given, In February, it measured 6 ft deep, or |−6| and in July, it was 25 ft deep, or |−25|.

The difference between the depths in February and July is:

|−6| − |−25| = 6 − (−25) = 6 + 25 = 31

Therefore, the correct choice is B) 31 feet.

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Answer:

The necessary cash flow is $ 7,594,936.70.

Step-by-step explanation:

To determine the cash flow necessary before taxes and interest to support the project if $ 2 million is used to pay interest, the tax rate is 21%, and equity investors require annual income of $ 4 million, the following calculation must be performed:

X - 0.21X - 2,000,000 = 4,000,000

X - 0.21X = 4,000,000 + 2,000,000

0.79X = 6,000,000

X = 6,000,000 / 0.79

X = 7,594,936.70

Therefore, the necessary cash flow is $ 7,594,936.70.

Answer: You add 9 each time

Step-by-step explanation:

19 + 9 = 28 + 9 = 37 + 9 = 46 + 9 = 55

hope this helps mark me brainliest if it did

The number of Wolves are growling is in multiple of  3.

Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorize ratios. Part to whole ratio is one, and part to part ratio is the other. The part-to-part ratio shows the relationship between two separate entities or groupings.

Given  The wolves were either howling of growling,

and ratio of the number of howlers to the number of growlers is

8:3 = 8/3

since the ratio tells about the total number of  wolves either howling of growling,

let total Wolves be y

so y = 8x + 3x

where x is the common multiple for both,

so growling wolves are in multiple of 3.

Hence growling wolves are in multiple of 3.

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Answer: 220

Step-by-step explanation:

Create ratios using fractions, one for the students, and one for the percent

students: \(\frac{11}{x}\)  percents: \(\frac{5}{100}\)

Then cross multiply 1. \(11 *100 = 1100\), 2. \(1100 / 5 = 220\)

So \(x = 220\), this means there are a total of 220 students in 7th grade

Answer:

1/2(6-8), 1/2(-3+7)=-1,2

Answer: C - (-1, 2)

Step-by-step explanation:

Answer:

Harry made 9 resolutions.

Step-by-step explanation:

Tim made x resolutions.

Harry made five more, x + 5.

Harry and Tim's together was 13.

x + x + 5 = 13

combine like terms.

2x + 5 = 13

subtract 5

2x = 8

divide by 2

x = 4

Tim made 4 resolutions.

Harry made 4 + 5, that is, 9 resolutions.

Check:

Harry and Tim together is 13.

4 + 9 = 13

Harry made 9 resolutions.

Answer:

B. 63 degrees

Step-by-step explanation:

Its the same angle as the one above it.

I hope this helps :)

Have a nice day!

Answer:

B

Step-by-step explanation:

If lines AB and CD are parallel, then angle h is equal to 63 degrees

Answer:

48 reindeer

Step-by-step explanation:

the 5 part of the ratio relates to 60 moose , then

60 ÷ 5 = 12 ← value of 1 part of the ratio

then

4 × 12 = 48 ← number of reindeer

Answer:

x = -1

Step-by-step explanation:

\(0= \frac{x+1}{x-2}\\\)

Variable x cannot be equal to 2 since division by zero is not defined. Multiply both sides of the equation by x−2.

0 = x + 1

Swap sides so that all variable terms are on the left hand side.

x + 1 = 0

Subtract 1 from both sides. Anything subtracted from zero gives its negation.

x = -1

Answer:

20° and 70°

Step-by-step explanation:

complimentary angle sum to 90°

let x be the compliment then the angle is 3x + 10 , so

x + 3x + 10 = 90 , that is

4x + 10 = 90 ( subtract 10 from both sides )

4x = 80 ( divide both sides by 4 )

x = 20

3x + 10 = 3(20) + 10 = 60 + 10 = 70

the 2 angle measures are 20° and 70°

Answer:

He used mutiplying, which is represented as ×

The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51  19. 17 < 23  20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)

To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.

To indicate that the first value is less than the second value, write <.

Alternatively, to indicate that the first value is greater than the second value, write >.

Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36

To determine the direction of inequality, we need to compare the values.

We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.

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The correct question would be as

Write > or < to make each statement true.

11. -5 0

12. 9 -8

13. -7 7

14. 55 -75

15. -32 -24

16. 89 73

17. -58 -51

18. -32 4

19. 17 23

20. 18 -36​

Answer:

A=25

Step-by-step explanation:

8-3=5

25/5=5

a=25

Answer:

A = 25

Step-by-step explanation:

To solve this equation, we have to find a number that can replace a that makes the equation true.

So, what number would fit?

Well, since a 5 is being divided by a, we have to find a number that 5 can  divided by 5 that gets 5.

This way, you can add 5 to 3 and get 8

Well, 5 x 5 = 25

So, 25 / 5 = 5

So, if we set a to 25, the equation is true

25 / 5 =5

5 + 3 = 8

Correct Answer: 25

Answer:

(3,1)

Step-by-step explanation:

This system of equation has one solution, which is (3,1)

Hope this helps!

Answer:

Step-by-step explanation:

100/10 to the 4 power is 0.01

Answer:

  9) D: (-4, 4]; R: [-6, -4]

  10) D: [-5, -5]; R: (-7, ∞)

Step-by-step explanation:

You want the domain and range of the relations shown on the given graphs.

The domain of a relation is the set of x-values for which it is defined. An open circle indicates that point is not included in either the domain or range.

The range of a relation is the set of y-values that the relation produces. An open circle indicates the y-value at that point is not in the range.

The graph has an open circle at x = -4 on the left, and a solid dot at x = 4 on the right. All of the x-values between these have corresponding y-values.

The domain is (-4, 4].

The bottom (minimum) of the curve lies on the line y = -6, so that is the lowest value in the range. The relation produces all y-values between -6 and -4. The solid dot at (4, -4) means -4 is included in the range.

The range is [-6, -4].

The vertical line at x=-5 means -5 is the only value in the domain.

The domain is [-5, -5].

The vertical line extends upward from an open circle at y = -7. The open circle means -7 is not part of the range.

The range is (-7, ∞).

Answer:

9)  Domain:  (-4, 4]

    Range:  [-6, -4]

10)  Domain:  [-5]

    Range:  (-7, ∞)

Step-by-step explanation:

Definitions

An open circle indicates the value is not included in the interval.

A closed circle indicates the value is included in the interval.

An arrow shows that the function continues indefinitely in that direction.

Interval notation

( or ) : Use parentheses to indicate that the endpoint is excluded.

[ or ] : Use square brackets to indicate that the endpoint is included.

Domain & Range

The domain is the set of all possible input values (x-values).

The range is the set of all possible output values (y-values).

From inspection of the graph, the minimum x-value is x = -4 and the maximum x-value is x = 4.

There is an open circle at endpoint (-4, -4).  Therefore, x = -4 is not included in the domain.

There is an closed circle at endpoint (4, -4).  Therefore, x = 4 is included in the domain.

Therefore, the domain of the relation is restricted:  (-4, 4]

From inspection of the graph, the minimum y-value is y = -6 and the maximum y-value is y = -4.

This maximum value is included in the range since there is a closed circle at (4, -4).

Therefore, the range of the relation is restricted:  [-6, -4]

From inspection of the graph, the line is a vertical line at x = -5.

Therefore, the domain of the relation is restricted to x = -5:  [-5]

From inspection of the graph, the minimum y-value is x = -7.  

This minimum value is not included in the range since there is an open circle at (-5, -7).

There is an arrow on the other endpoint of the line, indicating that the line continues indefinitely in that direction.

Therefore, the range of the relation is restricted:  (-7, ∞)

Comparing the median of each box-and-whisker plot, the type of transportation that is LEAST likely to take more than 30 minutes is: d. train.

How to Interpret a Box-and-whisker Plot?

In order to determine the transportation that is LEAST likely to take more than 30 minutes, we have to compare the median of each data set represented on the box-and-whisker plot for each transportation.

The box-and-whisker plot that has the lowest median would definitely represent the the transportation that is LEAST likely to take more than 30 minutes, since median represents the typical minutes or center of the data.

Therefore, from the box-and-whisker plots given, the one for train has the lowest median. Therefore train would LEAST likely take more than 30 minutes.

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Answer:

Step-by-step explanation:

If 11 flights were sampled with an 85% on-time arrival rate, the number of flights from the sample that arrived on time would be estimated to be 9.35, which would round to 9 flights.

This can be solved by:

(0.85x11)= 9.35

Since there can't be .35 of a flight, we would round to the nearest whole number, which would just be 9.

The final answer= 9 flights

Answer:

The price of the watch is 280$

Step-by-step explanation:

We know that the original price is 400 dollers, and its on sale for 30%.

So we do 30% of 400 = 120$

finally we do, 400$ - 120$ = 280$

so the final price of the watch is 280$

hope this helps