Define a variable and write an inequality to model the given situation. The restaurant can seat at most 154 people. *** If p is the restaurant's capacity, which of the following inequalities models the given situation?
A. p≥ 154
B. p≤ 154
C. p< 154
D. p>154​

Answer:-0.825 or 52/63

Answer:    58,60,62

Step-by-step explanation:

1. find the numbers; since our middle term is 2n, our other two terms are 2n-2 and 2n+2.

2.Write the equation for the problem.

Therefore, the three consecutive integers are 58,60,62

the minimum possible number of rows of zeros in any row echelon form is 2

If a matrix in linear algebra has the structure that comes from a Gaussian elimination, it is said to be in echelon form. The bottom row has solely zeros, as do all other rows. A nonzero row's pivot, also known as the leading coefficient, is always located strictly to the right of the leading coefficient of the row above it.

The row echelon form of 5 × 3 matrix is given by -

                                        [tex]\left[\begin{array}{ccc}1&a&b\\0&1&d\\0&0&1\\0&0&0\\0&0&0\end{array}\right][/tex]

As we can see, the number of rows containing zeros are 2.

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Answer:

- 1 and 74

Step-by-step explanation:

a

substitute d = - 1 into the expression

4d + 3

= 4(- 1) + 3

= - 4 + 3

= - 1

b

substitute x = 7 and y = 5 into the expression

x² + y²

= 7² + 5²

= 49 + 25

= 74

The expression uses the greatest common factor and the distributive property to rewrite the sum 75+45 is 15(5+3)

The greatest common factor is the greatest factor that divides both numbers.

The distributive Property States that when a factor is multiplied by the sum/addition of two terms, it is essential to multiply each of the two numbers by the factor, and finally perform the addition operation

Given,

75=3×5×5

45=3×3×5

The greatest common factor = 3×5=15

Then,

(75+45)=15(5+3)

Hence, the expression uses the greatest common factor and the distributive property to rewrite the sum 75+45 is 15(5+3)

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27/31 ounce of red paint should she really have to make 3 fluid ounces of purple paint.

Any arithmetic operation involving two or more fractions, such as addition or subtraction, is achievable if the denominators of both fractions are equal. This is referred to as the common denominator. A common denominator is an integer that has at least one element in common with both denominators other than 1.

Given:

3 /10 red + 11 /15 blue  makes 1 1/30 purple

Get a common denominator of 30

3/10 * 3/3 = 9/30  red

11/15 *2/2 = 22/ 30  blue

1  1/30 = 31/30   purple

the amount of paint required to make 3 fluid ounce of purple color of paints:

So,

((3/10) * (31/30)) * 3

= (3/10 * 30/31) * 3

= 27/31 ounce.

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Answer:

Step-by-step explanation:  16. | 2x - 8| = 6

                                                    | 2x -8| = 6

                                                           +8    +8

                                                        ____________

                                                          2x = 14 divide by 2

                                                          x = 7 ,  16 will macth section a

          Second equation :     19. | 8 - x | = 2

                                                      -8         -8

                                                _____________

                                                       x=-6 , section c

Answer:

Step-by-step explanation:

you will do 5+49 if u gain something u are adding the answer would be 98

We need to know about distance between two points to solve the problem. The distance between each pair of points are: 13. 8, 14. 6.40,  15. 5,  16. 5.83 , 17. 7 , 18. 7

The distance between two points is the length of the line that will join these two points. The distance can be calculated by taking the square of the difference of the x-coordinates and y-coordinates of the two points, adding them up and taking their square root. In order to understand the formula we have to draw a right angled triangle using these two points, where the line joining the points is the hypotenuse, the difference in the x-coordinates is the base and the difference between the y-coordinates is the height. We use Pythagoras' theorem to find the hypotenuse which gives us the formula of distance between two points

d=[tex]\sqrt{(x-a)^{2} +(y-b)^{2} }[/tex] where (x,y) and (a,b) are the two points

13. (-3,-1) (5,-1)

d=[tex]\sqrt{(-3-5)^{2}+(-1+1)^{2} } =\sqrt{64} =8[/tex]

14. (-4,-3), (1, 1)

d=[tex]\sqrt{(-4-1)^{2}+(-3-1)^{2} } =\sqrt{25+16} =\sqrt{41} =6.40[/tex]

15.(0, 0), (3, 4)

d=[tex]\sqrt{(0-3)^{2}+(0-4)^{2} } =\sqrt{9+16} =\sqrt{25} =5[/tex]

16. (-1,2) ,(2,-3)

d=[tex]\sqrt{(-1-2)^{2}+(2+3)^{2} } =\sqrt{9+25} =\sqrt{34} =5.83[/tex]

17.(-2,0) , (5,0)

d=[tex]\sqrt{(-2-5)^{2}+(0-0)^{2} } =\sqrt{49} =7[/tex]

18.(0,-8), (0,-1)

d=[tex]\sqrt{(0-0)^{2}+(-8+1)^{2} } =\sqrt{49} =7[/tex]

Therefore we found the distance between each pair of points using the formula to find distance between two points, 13) 8, (14) 6.40, (15) 5, (16) 5.83, (17) 7, (18) 7

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The nominal interest rate to plug in will be 0.085.

What is interest rate?

Given to us, the nominal rate is 8.5%,

The value to plug into your equation,

The equation can be simple interest or compound interest in both cases the value of the nominal rate to the plugin will be the same.

Thus, the nominal rate is 8.5% can be written as

Nominal rate = 8.5%

                     = 85/100 = 0.085

Hence, the nominal rate to plug in will be 0.085.

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Answer:

It depends, each person gets 500 pizzas, and since there is no info on how long it takes for each of them to eat one pizza, there is no possible answer,

Step-by-step explanation:

Answer:

Each person would have 500 pizzas but how long they last would depend how fast they eat 'em lol

Step-by-step explanation:

2000 / 4 is 500

Answer: x = 20

Step-by-step explanation:

step 1: Multiply all terms by the same value to eliminate fraction denominators
3/x+4 = 2/x-4
(x-4)(x+4)*3/x+4 = (x-4)(x+4)*2/x-4
step 2: Cancel multiplied terms that are in the denominator
(x-4)(x+4) * 3/x+4 = (x-4)(x+4) *2/x-4
(x-4) *3 =(x+4) *2
step 3: Re-order terms so constants are on the left
(x-4) *3 = (x+4) *2
3(x-4) = 2(x+4)
Step 4: Distribute
step 5: Add 12 on both sides
3x - 12 = 2x + 8
    +12          +12
step 6: Subtract 2x both sides
3x = 2x + 20
-2x  -2x
step 7: Divide both side
1x/1 = 20/1
x = 20

I am writing this because the app says the answer is to short :)))

Answer:

Step-by-step explanation:

-2x+3y

Answer:

27

Step-by-step explanation:

[tex]3^2 = 9\\2\cdot \:9+5\left(3\right)-6\\2 \cdot 9 = 18\\18+5\left(3\right)-6\\5 \cdot 3 = 15\\18+15-6\\18 + 15 = 33\\33 - 6 = 27\\= 27[/tex]

[tex] \bf \implies27[/tex]

[tex] \bf \leadsto{2x }^{2} + 5x - 6 \\ \bf \leadsto 2 {(3)}^{2} + 5(3) - 6 \\ \bf \leadsto 2(9) + 15 - 6 \\ \bf \leadsto18 + 15 - 6 \\ \bf \leadsto18 + 9 \\ \bf \leadsto27[/tex]

Answer:

5 days

Step-by-step explanation:

as the photo saying

Answer: 750,519

Step-by-step explanation:

1st: multiply terms

2nd: divide terms

3rd: add terms

4th: subtract your last two terms

I hope this helps!

The length of a side of cube is 4.56 Inches whose surface area is 125 square inches .

It is given that surface area of a cube is 125 square inches

Putting area = 125 in equation (1) , we get

[tex]125=6a^2\\a^2=20.33\\a=4.56 \ in[/tex]

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Answer:

Graph is attached

Step-by-step explanation:

The equation of the line is 3x - 4y = 12

If the point(-4, -6) is to lie on this line then the values x = -4 and y = -6 must satisfy this equation

Plug in these values on the left side
3(-4) - 4(-6) = -12 - (-24) = -12 + 24 = 12

So indeed this point satisfies this equation and therefore it must lie on this line

50 is  the total number of fruits Mrs Chandra bought in ratio .

What does a math ratio mean?

a total of $150 for all the fruits.

ratio of apple and pears  = 3: 2

ratio of pears and mangoes  = 1 : 5

5 units = 50

11 units = 110

15 units = $150

3 units = $30

number of apple = $30  ÷ $0.60 = 50

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Answer:

(

Step-by-step explanation:

(135+115+x)/3=125.

250+x=375

x=125.

thus third score must be 125

Subtracting the maximum sodium intake from the intake of the cereal bar, you can eat amounts of sodium less than 2,175 mg of sodium the rest of the day.

From the text, the intake has to be less than 2300 mg. From the table, each cereal bar has 125 mg of sodium.

You eat one cereal bar, hence:

2300 - 125 = 2,175.

You can eat amounts of sodium less than 2,175 mg of sodium the rest of the day.

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Answer: y=3x+1

Step-by-step explanation:

Slope formula: m=(y2-y1)/(x2-x1)

m=(-5-(-2))/(-2-(-1))

m=(-5+2)/(-2+1)

m=(-3)/(-1)

m=3/1

m=3

y=mx+b

-2=3(-1)+b

-2=-3+b

b=1

y=3x+1

The number of gasolines is 1,800,000 miles driven.

­Gas is known as an aliphatic hydrocarbon. All in all, gas comprised of particles made out of nothing, yet hydrogen and carbon organized in chains. Fuel particles have from seven to 11 carbons in each chain. Gas or petroleum is a straightforward, oil determined combustible fluid that is utilized principally as a fuel in most flash touched off gas powered motors. Fuel is as of now thought to be frozen in the event that it transforms into a thick slop or wax. To absolutely keep away from frozen gas inside the vehicle, center around forestalling the fuel line from freezing during winter. Fuel fumes are heavier than air, so they choose the ground and travel like a fluid. Along these lines, they frequently track down their direction into channels, storm cellars, and sewer lines.

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To provide a baseline against which they can evaluate the effects of a specific treatment, experimenters make use of a(n) Control condition (Option D).

Now,

Hence, to provide a baseline against which they can evaluate the effects of a specific treatment, experimenters make use of a(n) Control condition (Option D).

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Option (b), “a continuum of possible values” is the correct option.

The concepts of continuous probability distribution and normal distribution are used here to solve this problem.

The continuous probability distribution can be defined as the probability distribution of a continuous random variable. Normal distribution is used for finding the probability of a continuous variable when the data is more or less symmetric. The probability of being less than or more than some value can be calculated by calculating the area of the curve to the left of that value.

The probability of a continuous random variable will assume a particular value is zero. Consider a continuous random variable, which follows normal distribution with a mean,  and a standard deviation, which can be represented as to calculate the probability for a random variable, convert the variable into a standard normal variable by the transformation:

Option (a), “an array of individual values” is incorrect because the continuous probability distribution does not contain an array of individual values. Option (c), “a list of possible values” is incorrect because it is not just a list of possible values. Option (d), “counts” is incorrect because the counts is not a characterized by the continuous probability.

False

Probability can be defined as the likelihood or chance of an event occuring. Probability is a branch of Mathematics that deals with the calculation on the chances of happening of a particular event.

For instance, the probability that a student will pass an exam is 1/2.

The students has a total of two possible outcomes, pass or fail.So, the probability of one outcome = 1/total outcome which is 1/2

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There are 20 possible combinations are there for spring formal committees.

Combination:

The process of determining the number of ways in which r objects can be selected from n distinct objects without regard to the order in which they are selected. Such selections are called combinations.

[tex]^nC_r=\frac{n!}{(n-r)!r!}[/tex]

Where

n refers the total number of ways

r refers the selected one

Given,

There are six members on a student council.

Three of these members will serve on a spring formal committee.

Here we need to find the possible number of members in spring formal committees.

We know that the value of,

n = 6

and r = 3

So, apply the values on the formula,

Then we get,

[tex]^6C_3=\frac{6!}{(6-3)!3!}[/tex]

[tex]^6C_3=\frac{6!}{3!3!}[/tex]

⁶C₃ = 720/36

⁶C₃ = 20

Therefore, the resulting value is 20.

Therefore, there are 20 possible combinations are there for spring formal committees.

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The expression (2⁷ · 3⁻⁵ · 9)⁴ is equivalent to the power expression 2²⁸ / 3¹² = 505.109.

In this problem we find an expression involving several numbers in power form and we must simplify into a single real number by using algebra properties:

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Final answer:

The statement that the median net worth of families headed by a person thirty-five to forty years old was 30 percent is a true statement.

In statistics, the median is the value that, when placed in order, falls in the middle of the supplied collection of data. Either ascending or descending order can be used to organize the data or observations. The median of 2,3,4, for instance, is 3. The median is a type of average used to determine the middle value in mathematics. The median is the value that falls in the middle when a group of values are arranged from smallest to greatest. The value that appears the most frequently in the set is the mode. In cases where the distribution is skewed or contains outliers, the median is the most illuminating indicator of central tendency.

Explanation:

The net-worth of families have a drastic change when compared to previous years as the economy has developed and while comparing the net-worth of income between years, the median method is useful in all ways and so the median net worth of families headed by a person thirty-five to forty years old was 30 percent less in 2010 than it was for their counterparts in 1983 is proved to be true.

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Answer:

write an expression to repersent the number of seconds since that hare began the race in terms of the number of seconds x since the tortise started the race

Step-by-step explanation:

Answer:

Step-by-step explanation: