a hotel has enough food for 125 guest to last 16 days. how long will the food last if 25 more guest check-in to the hotel ?

Answer:

2

Step-by-step explanation:

x:14 = 1:7

x/14 = 1/7

x = 14/7

=> x = 2

True. If, in a quadratic equation, ax^2 + bx + c = 0, the values of a and c have opposite signs, the solutions of the equation are indeed real numbers.

This is because the discriminant (Δ), which determines the nature of the roots, will be positive in this case. The discriminant is calculated using the formula Δ = b^2 - 4ac.

Since a and c have opposite signs, the product of -4ac will be positive. Therefore, when calculating the discriminant, you will be adding a positive value to b^2, resulting in a positive discriminant (Δ > 0).

A positive discriminant indicates that the quadratic equation has two distinct real number solutions, which can be found using the quadratic formula:

x = (-b ± √Δ) / 2a

In summary, if the values of a and c in a quadratic equation ax^2 + bx + c = 0 have opposite signs, the solutions of the equation will be real numbers, as the discriminant will be positive.

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The perimeter : (a) 42 ft

                           (b) 42 ft

                           (c) 14.04 m

                           (d) 48 m

                           (e) 1818 cm

What is Perimeter?

In geometry, the perimeter is the total length of the boundary or the outer edge of a two-dimensional shape, such as a polygon. It is the addition of the lengths of all sides of the shape. The perimeter is measured in units of length, such as meters or feet.

(a) Rectangle with sides of 10 ft and 11 ft:

Perimeter = 2(10 ft) + 2(11 ft) = 20 ft + 22 ft = 42 ft

(b) Rectangle with sides of 11 ft and 10 ft:

Perimeter = 2(11 ft) + 2(10 ft) = 22 ft + 20 ft = 42 ft

(c) Rectangle with sides of 2.9 m and 4.12 m:

Perimeter = 2(2.9 m) + 2(4.12 m) = 5.8 m + 8.24 m = 14.04 m

(d) Square with sides of 12 m:

Perimeter = 4(12 m) = 48 m

(e) Rectangle with sides of 9 cm and 9 m:

Since the sides are in different units, we need to convert one of them to the other unit. Let's convert 9 m to cm:

9 m = 900 cm

Perimeter = 2(9 cm) + 2(900 cm) = 18 cm + 1800 cm = 1818 cm

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Answer:

Just divide 120 by 20.

Step-by-step explanation:

The answer is 6

Answer:

the answer is 6...

Step-by-step explanation:

divide

The value of angle S is 53°

Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.

With this theorem we can say that

7x+2 = 4x+13+19

collecting like terms

7x -4x = 13+19-2

3x = 30

divide both sides by 3

x = 30/3

x = 10

Since x = 10

angle S = 4x+13

angle S = 4(10) +13

= 40+13

= 53°

Therefore the measure of angle S is 53°

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The double dot plot shows the quiz scores for two different class periods, represented by the two sets of data points. Each data point represents the score of a single student on the quiz.

The first population, represented by the data points on the left side of the plot, appears to have a center at around 16-18 points and a variation that is more spread out. This suggests that the students in this class period had a wider range of quiz scores, with some students scoring higher and some scoring lower.

The second population, represented by the data points on the right side of the plot, appears to have a center at around 8-10 points and a variation that is more tightly clustered. This suggests that the students in this class period had a narrower range of quiz scores, with fewer students scoring higher and fewer scoring lower.

 Based on these observations, an inference that can be drawn about the two populations is that the class period with higher quiz scores had more students who performed well on the quiz, while the class period with lower quiz scores had fewer students who performed well on the quiz. This suggests that the level of student proficiency in the subject may vary across class periods, and that it may be important to consider this variability when designing instructional strategies.

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Answer:

C=17

Step-by-step explanation:

15^2+8^2=c^2

C^2=289

C=17

Answer:

2(4x+3) + 2(6x)

8x+6 + 12x

12x+8x=20x

20x+6

Answer:

P = 20x + 6

Step-by-step explanation:

P = 2w + 2l

w = 4x + 3

l = 6x

P = 2(4x + 3) + 2(6x)

P = 20x + 6

Answer:

D

:) Hope this helps.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Supplementary angles have a sum of 180 degrees.

a+a-27.2=180

2a-27.2=180

2a=207.2

a=103.6, and since b=a-27.2

b=76.4

So one angle is 103.6 degrees and the other is 76.4 degrees.

Answer:that hard

Step-by-step explanation:

Answer:

Samantha makes more

Step-by-step explanation:

Dillon

41.50/5 would = $8.3 an hr

Samantha

50.40/6 would =$8.4 an hr

Answer:

Samantha made more money per hour :)

D= $8.30 per hour

S= $8.40 per hour

Step-by-step explanation:

The solution is, the finally discounted price is 71.5.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

sale price = 90

15% discount, so, the price = 90* 85%

                                            =76.5

now, after 5 discount, price became = 76.5 - 5

                                                             = 71.5

Hence, The solution is, the finally discounted price is 71.5.

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Answer:

c) ab/14

Step-by-step explanation:

\(\frac{a}{7} * \frac{b}{2} =\frac{ab}{14}\)

multipling fractions rule is to multiply nominators and denominators separately

\(\boldsymbol{\sf{\dfrac{5}{3}x+4=\dfrac{2}{3}x }}\)

Subtract 2/3x on both sides.

\(\boldsymbol{\sf{\dfrac{5}{3}x+4-\dfrac{2}{3}x=0 }}\)

Combine 5/3x and -2/3x to get x.

\(\boldsymbol{\sf{x+4=0 }}\)

Subtract 4 from both sides. Any value subtracted from zero results in its negative value.

\(\boldsymbol{\sf{x=-4 }}\)

Answer:

x = - 4

Step-by-step explanation:

\(\frac{5}{3}\) x + 4 = \(\frac{2}{3}\) x ( multiply through by 3 to clear the fractions )

5x + 12 = 2x ( subtract 2x from both sides )

3x + 12 = 0 ( subtract 12 from both sides )

3x = - 12 ( divide both sides by 3 )

x = - 4

To find the third quartile price, we need to arrange the data in ascending order. The third quartile represents the value below which 75% of the data falls.  The 85th percentile price is approximately 1135536.

Arranged data: 148216, 201866, 352428, 481312, 560473, 689607, 747147, 841952, 966673, 1077650, 1116189, 1264235, 1395465

Since there are 13 data points, the third quartile is located at the position (13 + 1) * (3/4) = 10th position.

The third quartile price is the value at the 10th position, which is 1077650.

Therefore, the third quartile price is 1077650.

Using a calculator or software, the standard deviation of the price is approximately 318,986.

Therefore, the standard deviation of the price is approximately 318,986.

To find the 85th percentile price, we need to arrange the data in ascending order. The 85th percentile represents the value below which 85% of the data falls.

Arranged data: 100021, 259112, 317692, 487684, 508883, 699112, 758500, 841302, 945586, 1047047, 1135536, 1235570, 1315132

Since there are 13 data points, the 85th percentile is located at the position (13 + 1) * (85/100) = 11th position.

The 85th percentile price is the value at the 11th position, which is 1135536.

Therefore, the 85th percentile price is 1135536.

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Answer:

2 (4x+9y)

Step-by-step explanation:

Simplified:

8x+18y

The distance that the car travel if the uses gasoline at a rate of 1/8 tank per 1/2 hour of driving and started with a full tank if the speed is 50 mph is 50 miles.

Given that,

Speed of the car until it reaches quarter of the tank of gas = 50 mph

Quarter means 1/4 of the tank.

Gas decreases to 1/8 tank per 1/2 hour.

The gas decreases to 2/8 = 1/4 tank in 2/2 = 1 hour.

So the car travels for 1 hour until it reaches 1/4 of the tank.

So the distance car travels in 1 hour = 50 miles

Hence the car travels 50 miles until it reaches 1/4 of the tank..

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lambert's cylindrical projection preserves the relative size of geographic features. this type of projection is called equivalent.

cylindrical projection, in cartography, any of numerous map projections of the terrestrial sphere on the surface of a cylinder that is then unrolled as a plane.

Originally, this and other map projections were achieved by a systematic method of drawing the Earth's meridians and latitudes on the flat surface.

Mercator projection is defined as a map projection was found in 1569 by Flemish cartographer Gerardus Mercator.

The Mercator projection seems parallels around a cylindrical globe and meridians appears as straight lines, but there is distortion of scale near the poles which do not make it a practical world map.

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The minimum number of individuals (MNI) of bison bones is 7.

Explanation:

The minimum number of individuals (MNI) of the bison bones discovered by archaeologists working at Head-Smashed-In-Buffalo-Jump is 5.

Head-Smashed-In Buffalo Jump is an archaeological site in Alberta, Canada. It is a cliff site used by First Nations people for bison hunting. Head-Smashed-In Buffalo Jump is a UNESCO World Heritage Site and is one of the world's oldest, largest, and best-preserved buffalo jump sites

              The minimum number of individuals (MNI) of bison bones is the smallest possible number of bison from which the bones could have come. The minimum number of individuals (MNI) is calculated using the least number of right or left paired bones, such as femurs or humeri. The right femurs are the fewest paired bones with only seven out of the fifteen femurs found at the Head-Smashed-In Buffalo Jump site.

Therefore, the minimum number of individuals (MNI) of bison bones is 7.

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Answer:

1053.7$

Step-by-step explanation:

750$ x 12%= 90

first year: 750 + 90 = 840

840$ x 12%= 100.8$

second year: 840+ 100.8= 940.8

940.8$ x 12%= 112.896

third year (now)= 940.8+ 112.896 = 1053.696$

Answer:     2  7/10

Step-by-step explanation:

First multiply the two fractions by multiplying across: (3/1)*(9/10)=27/10

Convert to a mixed number: 2  7/10

The absolute value function f(x) = |x – 2| takes a non-negative value for all real numbers x, and it returns 0 only when x = 2.

The graph of f(x) is symmetric about the vertical line x = 2 and has a vertical asymptote at x = 2.

We have,

The absolute value function f(x) = |x – 2| is a piecewise function that returns the positive distance between the input value x and the number 2.

Geometrically,

It represents the distance of a point on the number line from point 2.

On the coordinate plane,

The graph of the absolute value function is V-shaped, with its vertex at the point (2, 0).

The two arms of the V extend indefinitely in opposite directions, passing through the points (-∞, 2) and (2, +∞) on the positive and negative sides of the x-axis, respectively.

Thus,

The absolute value function f(x) = |x – 2| takes a non-negative value for all real numbers x, and it returns 0 only when x = 2.

The graph of f(x) is symmetric about the vertical line x = 2 and has a vertical asymptote at x = 2.

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The new coordinates of points M and O is determined as;

M = (0.5, - 1)

O = (2.5, -2).

The new coordinate of points M and O after applying the scale factor is calculated as follows;

The given scale factor = 1/2

The current coordinates of point M and O is;

M = (1, - 2)

O = (5, - 4)

A scale factor can be used to either enlarge a figure or decrease a figure.

When the scale factor is less than 1, it means the new figure will be smaller than the original figure.

However, if the scale factor is greater than 1, the new figure will be greater than the original figure.

The new coordinates of points M and O is determined as follows;

M = (1 x 1/2,  -2 x 1/2) = (0.5, - 1)

O = (5 x 1/2, -4 x 1/2) = (2.5, -2)

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A simple linear regression on the data set can be performed as -

Option A : Yes, the data is numerical so this condition is met.

What is linear regression?

In order to demonstrate the relationship between two variables, linear regression applies a linear equation to the observed data. The idea is that one variable acts as an independent variable and the other as a dependent variable. For instance, a person's weight and height are linearly connected.

The movie theatre wants to record relationship between popcorn and soda sales.

The sales will be in numerical values.

The amount of time they want to collect the data is 3 months = 90 days.

This data is also numerical.

Since, two thing are recorded popcorn sales and soda sales there will be two variables in the linear regression.

Therefore, the linear regression can be performed on the data set.

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The original number from the given decimal number is  0.02.

For the given question;

Moving a decimal point 4 places towards the right corresponds to multiplying the given integer by 10,000 if it is x.

This results in:

10000x = 4.(1/x)

Simplifying.

x² = 4/10000

x > 0.

Taking square root of the number.

x = 2/100

x = 0.02

Thus, the original number from the given decimal number is  0.02.

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Sequence is the set of rules that guide the creation of a set. The rule of the sequence is to add 5, and the next three terms are 10, 15 and 20.

The first two terms of the sequence are given i.e.

\(T_1 =0\) --- first term

\(T_2 = 5\) --- second term

Because the first term is 0, then the sequence must be arithmetic.

Calculate the common difference using:

\(d = T_2 - T_1\)

\(d = 5 - 0\)

\(d = 5\)

The nth term of an arithmetic sequence is calculated using:

\(T_n = T_1 +(n - 1)d\)

So, we have:

\(T_n = 0 +(n - 1) \times 5\)

\(T_n = 5(n - 1)\)

So, the next three terms are:

\(T_3 = 5(3 - 1) =10\)

\(T_4 = 5(4 - 1) =15\)

\(T_5 = 5(5 - 1) =20\)

Hence, the rule of the sequence is:

\(T_n = 5(n - 1)\) or Add 5

The next three terms of the sequence are: 10, 15, 20

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Answer:

The right option is option e.T-shaped.

Step-by-step explanation:

The molecular geometry or shape of clf3 is T-shaped. It acquires such shape because of presence of two lone pairs which take equatorial position and there are greater repulsions. The hybridisation is sp3d and it has 2 lone pairs

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Option e) T-shaped

The shape or molecular geometry  of ClF₃ is T-shaped. It acquires such a shape due to the presence of two lone pairs in the equatorial position and has greater repulsion. The hybrid is sp³d and it has 2 lone pairs.

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Answer:

1296

Step-by-step explanation:

6x6x6x6

6^4

Answer:

6×6×6×6

Step-by-step explanation:

I hope this helps