8x – 2 – 5x + 7 =
x +

-14x + 2 is the expression which represents the difference when (-5x + 7) is subtracted from (9x + 5) in simplest terms, as obtained by basic algebra.

Now,

Given: Two expressions: (-5x + 7) and (9x + 5).

To find: Expression obtained when (-5x + 7) is subtracted from (9x + 5).

Finding:

By basic algebra, we can write:

=> ( -5x + 7) - (9x + 5) = ( -5x + 7) - 9x - 5

=> -5x - 9x + 7 - 5 = -14x + 2

Hence,  -14x + 2 is the expression which represents the difference when (-5x + 7) is subtracted from (9x + 5) in simplest terms, as obtained by basic algebra.

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the red point represents the moment when you return to your house, 8 time units after you originally left.

Let's assume that the graph represents the distance to your home as a function of time. (The x-axis represents time in time units and the y-axis represents the distance in distance units)

Then you can see how in the first 3 units of time you travel a certain distance from your home.

Then for the 3 next time units your position does not change, so you are in a fixed place.

In the next 3 time units you return to your house, here we reached the red point, which represents the moment when you return to your house, 8 time units after you originally left.

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The square root of 162 to the nearest tenth is 12.7, estimated using the prime factorization method.

What is the square root of a number?

The square root of a number x is given by y, such that (y)2 = x. It is denoted by the symbol, ' √ '. For example, the square root of 4 is 2 and the square root of 169 is 13, etc.

Calculation of the square root of 162

We are given the number 162

Let us apply the prime factorization method to find the square root of 162

The prime factors of 162 are 2 × 81

The prime factors of 162 in pairs are 2 × (3 × 3) × (3 × 3)

Now, the square root of 162 is given by:

√162 = √ (2 × (3 × 3)2)

= 3 × 3 × √2

= 9 × √2

= 9 × 1.414

= 12.726

Hence, the square root of 162 up to the tenth place is 12.7.

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Answer: 250/43

Step-by-step explanation

Answer:

he would need seven weeks, i believe.

The basic unit of mass of the ball in the metric system is the gram.

The base units of length (distance), capacity (volume), and weight (mass) in the metric system are the meter, liter, and gram, respectively. We utilize units that are derived from metric units to measure smaller or greater quantities.

Mass is a physical body's total amount of matter. Inertia, or the body's resistance to acceleration when a net force is applied, is also measured by this term. The strength of an object's gravitational pull to other bodies is also influenced by its mass.

Therefore, the basic unit of mass of the ball in the metric system is the gram.

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We get the value of angle Q in the triangle PQR as 155 °.

We are given a triangle PQR.

We are also given that:

∠ P = 110 °

∠ R = 15 °

Now, we need to find ∠ Q.

We know that sum of the angles of a triangle = 180 °

This is called the angle sum property of a triangle.

So, we get that:

∠ P + ∠ Q + ∠ R = 180 °

Substituting the given values, we get that:

110 ° + ∠ Q + 15 ° = 180 °

125 ° + ∠ Q = 180 °

∠ Q = 180 ° - 125 °

∠ Q = 155 °

Therefore, we get the value of angle Q in the triangle PQR as 155 °.

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The true statements are,

⇒ If the price is marked up 25%, the selling price will be $50.

⇒ If the selling price is $70, the price is marked up 75%.

What is the Cost price?

Cost price is the total amount of money that it costs a manufacturer to produce a given product or provide a service.

Given that:-

A Store bought jeans at a cost of $40 a pair.

If the price is marked up 25%, the selling price will be $50

⇒ 40 x 25 / 100 = 10

Selling Price = $50

Hence, This is true statement.

And, If the selling price is $70, the price is marked up 75%.

P = 70 - 40 = $30

40 x 75  / 100 = $30

Hence, This statement is true.

Therefore, the true statements are;

⇒ If the price is marked up 25%, the selling price will be $50.

⇒ If the selling price is $70, the price is marked up 75%.

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The complete question is this,

A store bought jeans at a cost of $40 a pair. Select all the statements that are true.

A. If the price is marked up 20%, the selling price will be $60.

B. If the price is marked up 25%, the selling price will be $50.

C. If the selling price is $65, the price is marked up 50%.

D. If the selling price is $70, the price is marked up 75%.

8 is the least number of main courses that the restaurant should offer so that a customer could have a different dinner each night in the year 2003.

What are Integers in Math?

Let m be the number of main courses the restaurant serves, so 2m is the number of appetizers.

Then the number of dinner combinations is 2m *  m * 3=6m².

Since the customer wants to eat a different dinner in all $365$ days of 2003, we must have

                     6m² ≥ 365

                     m²   ≥   60.83

Also, year 2003 is not a leap year, because 2003 divided by 4 does not equal an integer. The smallest integer value that satisfies this is E = 8.

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Solution: 8x-4y+9

Step-by-step explanation:

Combine like terms

3x + 5x - 4y + 9

8x - 4y + 9

To find the x-intercept, substitute 0 for y and solve for x. To find the y-intercept, substitute 0 for x and solve for y.

x-intercept(s): (−9/8,0)

y-intercept(s): (0,9/4)

Given hats are forming a conical shape and the volume of the cone will be 27.28 inches³.

Volume is the scalar quantity of any object that specified occupied space in 3D.

For example, the space in our room is referred to as volume.

Given that,

4 inches in diameter, 6.5 inches tall, slant height of 6.8 inches

So,

D = 4 inches

Now radius r = D/2

r = 4/2 = 2 inches.

Height h = 6.5 inches.

The volume of the conical bar is given as ;

(1/3)πr²h

So,

Volume = (1/3)π(2)²6.5

Volume = 27.28 inches³

Hence "The volume of the given conical-shaped hat will be 27.28 inches³".

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Answer:

The number is 15.

Step-by-step explanation:

Let n be the number.

[tex] \frac{1}{5} n + 21 = 2(n - 3)[/tex]

[tex]n + 105 = 10(n - 3)[/tex]

[tex]n + 105 = 10n - 30[/tex]

[tex]9n = 135[/tex]

[tex]n = 15[/tex]

The MATHCOUNTS International airport had the mean number of seconds between departure time of 43 seconds in 2001.

For given question,

In 2001 there were 738,114 departures.

As we can see, 2001 was not a leap year.

So, the number of days in 2001 = 365

We find the number of departures per day in 2001.

738,114 / 365 = 2,022.23

So, approximately 2,022 departures per day.

Now we find the number of departures in an hour.

2,022 / 24 = 84.25

This means, approximately 84 departures per hour

We know that, 1 hour = 3,600 seconds

Now we find the mean number of seconds between departure time.

3,600 / 84 = 42.8

                  ≈ 43 seconds

Therefore, the MATHCOUNTS International airport had the mean number of seconds between departure time of 43 seconds in 2001.

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Answer:

this number falls between 11 and 12

Step-by-step explanation:

11 Squared is 121 and 12 squared is 144.  131 is between these numbers.  It is closer to 11

Answer:

A dilation proportionally stretches or compresses an object based on a given scale factor.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Imani painted the wall most

Mary painted 3/4 of the wall

3/4 = 0.75

Tonya painted 5/4 of the wall

5/7 = 0.71

Imani painted 11/13 of the wall

11/13 = 0.84

Luz painted 11/17 of the wall

11/17 = 0.64

Imani painted the wall most

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Answer: The answer is likely E/i

Step-by-step explanation:

1. Based by guesses here, multiply R on both sides, making it RI = E

2. Then, divide I on both sides, so RI/I = E/I

3. Becoming R = E/I

Yes, I would play the game, because the probability of winning is 13/18.

Probability:

Probability refer the possible occurrence of any particular event.

Given,

A game where two players each throw two dice each. if any one die matches the other, you win a dollar. if there is no match, you lose a dollar.

Here we need to find whether we able to play this one or not.

To find that one, first, we have to identify the winning scenarios,

Let us consider five winning scenarios. Lets represent the dice outcomes as A, B, C, and D, where your dice are A and B and the other player's are C and D. The five scenarios are:

1) A = B

2) A = C

3) A = D

4) B = C

5) B = D

We know that the total possible outcomes is 6^4. We can go through each scenario and count the possible outcomes. We must be careful to avoid overcounting.

Based on this,

The probability that none match is

=> 6*5*4*3/6^4

=> 360 / 1296

=> 5 / 18

So, probability of winning is,

=> 1 - 5/18

=> 13/18.

So, based on the probability the chance of winning is high. So, we can play it.

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Answer:

-12 -6x

Step-by-step explanation:

I did this by distributing

-6 x 2 = -12

-6 x x= -6x

-12 -6x is your final answer

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day :)

Answer: 13.5

Step-by-step explanation:

First arrange the scores in order:

5, 5, 9, 12, 15, 23, 26, 27

**remove 1st and last number in the set of scores every time**

Median of 5, 5, 9, 12, 15, 23, 26, 27=

Median of 5, 9, 12, 15, 23, 26=

Median of 9, 12, 15, 23=

Median of 12, 15 =

**Take mean of remaining two numbers**

(12+15)/2=

27/2=13.5

The probability that all the people will get their own coats back is 1/7.

Likelihood is the part of science concerning mathematical depictions of how likely an occasion is to happen, or how likely it is that a suggestion is valid. The likelihood of an occasion is a number somewhere in the range of 0 and 1, where, generally talking, 0 shows difficulty of the occasion and 1 demonstrates sureness. The higher the likelihood of an occasion, the almost certain it is that the occasion will happen. A basic model is the throwing of a fair coin. Since the coin is fair, the two results are both similarly plausible; the likelihood of "heads" rises to the likelihood of "tails"; and since no different results are conceivable, the likelihood of all things considered "heads" or "tails" is 1/2.

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Answer:

eight is the answer

Step-by-step explanation:

........

The distributive property is the property that justifies the statement.

The properties of multiplication are:

For the question, the number 3 was multiplied each term, then

3x - 3*2/3 = 4

3x - 6/3 = 4

3x - 2 = 4

Comparing the steps and results found, it is possible to note that the distributive property for multiplication was applied.

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The value of the domain for f(2x) is 2 * 4 to 2 * 18 or 8 to 36.

The set of inputs that a function will accept is referred to as the domain of the function in mathematics. It is sometimes represented by the symbol dom(f), where f is the function.

The function f can be graphed in the Cartesian coordinate system in the specific case where X and Y are both subsets of R. In this instance, the graph's x-axis shows the domain as a projection of the function's graph there. It is a partial function in this instance, and the set of real numbers on which the formula may be evaluated to a real number is known as the natural domain or domain of definition of f.

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A statement 'He is not the winner, then, he is sick.' is a valid argument.

To test the validity of a given argument, we need to see if we can find a counter-example that makes one of the statements non-valid. If after analyzing the statements we can't find a counter-argument, then we can conclude that the argument is valid.

Here we will find that the argument is valid.

We can write given statement as:

1) If he participates in a race then he is the winner.

2) Either he participates in the race, or he is sick.

3) He is not the winner, then, he is sick.

Now, from the first statement, we know that this person participates in a race, he wins.

From the second statement we know that he only participates if he is not sick, we can rewrite that one as:

"If he is sick, then he does not participate in the race".

Finally, from the third one, if he does not win, then he is sick.

This makes sense, he only does not participate when he is sick, then the only races where he is not the winner, are these races where he does not participate, and he does not participate only if he is sick, then this is a valid argument.

Concluding, the 3 statements are valid, as we can't find any counter-argument to any of these 3.

Therefore, a statement 'He is not the winner, then, he is sick.' is a valid argument.

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Answer:

10

Step-by-step explanation:

so just round to the ones below or above 5

Yes, Lila and Wassim saved the extra money of £16.

For the given data in question;

Charge/person for Camping Site : £5 per night

Charges for Camping Site Tent = £15 per night for Tent pitch > 10m²

calculate the tent pitch;

Tent Pitch = 2.5 × 4.2 = 10.5 > 10

Total charges for tent = £15 per night

As, 2 Lila and Wassim sharing Tent

Total charges per night = Charge/person + Charges for Camping Tent

= 2× £5 + £15

= £25 per night

For every 5 nights of the stay, pay is 4.

Cost for 10 nights for two persons.

Lila and Wassim have to pay the cost  for 8 Nights;

Total charges = £25 × 8  = £200

Lila and Wassim each plan to save £12 per week  for 9 weeks.

Thus, the total Saving = 2 ×  9 ×  12 = £216

total Saving =  216 > 200

As, total savings of Lila and Wassim are £216 which are greater than the £200 cost of camping.

The extra money saved is;

= £260 - £200

= £16.

Therefore,  Yes, Lila and Wassim will save sifficient money to cover all camping charges with extra saved money of £16.

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Since a negative number's exponent is always positive, [(-4)⁴]⁵ will always be greater than -[(4¹²)³].

What is number system?

The Number System covers any of the several sets of symbols and usage guidelines for indicating numbers, which are used to indicate how many items are present in a particular group. Thus, the Roman numeral I, the Greek letter alpha, the first letter used as a numeral, the Hebrew letter aleph, or the modern number 1, which is nothing more than Hindu-Arabic in origin, can all be used to express the idea of "oneness."

A mathematical representation of the numbers in a given set is called a number system.

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Isabel can drive  510.875 miles with a gas tank that holds 15.1 gallons of gas.

Given that, Isabel’s car gets 33.5 miles per gallon

Her gas tank holds 15.1 gallons of gas

To find the Number of miles can Isabel drive on a full tank of gas

Let "x" be the miles drive with 15.1 gallons of gas

From given,

1 gallon = 33.5 miles

15.25 gallon = x miles

This forms a proportion and we can solve the sum by cross multiplying

1 × x = 15.25 × 33.5

x = 510.875

Thus, Isabel can drive 510.875 miles on a full tank of gas

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Answer:

Greater than.

Step-by-step explanation:

3 - 1 = 2, 2 is greater than 1/4 which is equal to 0.25.

The given statement is a descriptive statistic.

So, the statement "Robin expects to serve 12% fewer meals this year than last year" is a descriptive statistic.

Therefore, the given statement is a descriptive statistic.

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