A caterer charges a setup fee of $50, plus $20 per person How much will the caterer charge if 35 people attend the party, and the customer has a coupon for $100 discount off the total?

Answer:

x=11

Step-by-step explanation:

Please see attached image.

Answer: x = 11

Step-by-step explanation:

a) bottom triangle, bottom right angle: Using Linear Pair Postulate, 180° - 114° = 66°

b) bottom triangle, top angle: Congruent sides implies congruent angles = 66°

c) bottom triangle, bottom left angle: Using the Triangle Sum Theorem, 66° + 66° + y = 180° --> y = 48°

d) top triangle, bottom angle: Using Complimentary Angles Theorem, 90° - 48° = 42°

Congruent sides implies congruent angles:

42° = ∠2

42 = 2x + 20

22 = 2x

11 = x

Answer:

landline

hshdjdh

dbbdhdhdh

bdbdhdhdhe

Answer:

Router

Step-by-step explanation:

Hope this helps

Answer:

They will probably say NO

Step-by-step explanation:

Add to find the total number of response.

10 + 4 = 14

Find the probability of someone saying yes or no.

4 / 14 ≈ 0.29 or 29%

10 / 14 ≈ 0.71 or 71%

As you can see, saying NO is more likely than saying YES.

Best of Luck!

RSQ= 126 degrees

both angles are cooresponding angels therefore

5x+86=10x+46

86-46=10x-5x

40=5x

x=8

substitute

10(x)+46

10(8)+46

80+46

126

Answer:

150

Step-by-step explanation:

Answer:

150cm

Step-by-step explanation:

Answer:

thx

Step-by-step explanation:

really needed them and merry christmas

The angle of elevation from the point where Josh is standing to the top of the tower is approximately 58.7 degrees.

How to calculate angle of elevation?

We can use trigonometry to calculate the angle of elevation:

tan(angle) = opposite/adjacent

In this case, the opposite is the height of the tower (199 feet) and the adjacent is the distance from Josh to the base of the tower (125 feet). So:

tan(angle) = 199/125

We can solve for the angle by taking the inverse tangent (tan^-1) of both sides:

angle = tan^-1(199/125)

Using a calculator, we find that:

angle ≈ 58.7 degrees

Therefore, the angle of elevation from the point where Josh is standing to the top of the tower is approximately 58.7 degrees.

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Answer:

X= 5

Step-by-step explanation:

If shape D is a reflection of shape C then the distance between the shape and the y-axis will be the same on both sides; so, if shape C has a 5cm distance between it and the y-axis, shape D will also have 5cm distance between it and the y-axis.

The specific name of the quadrilateral is trapezoid

The measure of the missing angle is 55 degrees

To determine the measure of the angle, we need to know the following;

The properties of a trapezoid are listed as;

From the information given, we have that;

125 + x = 180

collect the like terms, we have;

x = 180 - 125

subtract the values, we get;

x = 55 degrees

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Answer:

6

Step-by-step explanation:

The prime factorization of 12x is 3*2*2x. The prime factorization of 18 is 2*3*3. The same thing that appears in both prime factorizations is 3*2, or 6.

#B4nliest!

The first five terms of the recursive sequence are 4.5, -27, 162, -972 and 5832

From the question, we have the following parameters that can be used in our computation:

an = -6a(n - 1)

a1 = -4.5

The above definitions imply that we simply multiply -6 to the previous term to get the current term

Using the above as a guide,

So, we have the following representation

a(2) = -6 * 4.5 = -27

a(3) = -6 * -27 = 162

a(4) = -6 * 162 = -972

a(5) = -6 * -972 = 5832

Hence, the first five terms of the recursive sequence are 4.5, -27, 162, -972 and 5832

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Answer:

8

Step-by-step explanation:

the square root of 64 is 8.

A quick way to check that is that 8 x 8 = 64.

Aggregate Demand (AD) is a macroeconomic concept that represents the total demand for goods and services in an economy. The X factor in the AD equation represents exports, which are an important part of the economy.

AD is calculated by adding up the individual components of demand, which include consumer spending (C), investment spending (I), government spending (G), and net exports (X-M). The X-M component represents the difference between exports (X) and imports (M).

The X component in the equation represents exports, which are the goods and services produced domestically and sold to foreign countries. Exports are an important part of the economy as they generate income and create jobs. The M component in the equation represents imports, which are the goods and services purchased from foreign countries and consumed domestically. Imports can have a negative impact on the economy as they represent a drain on resources and can lead to a trade deficit. The X factor in the equation is used to represent exports because it is a variable that can change over time. Factors that can affect exports include exchange rates, tariffs, and global demand for certain products. If the exchange rate between two currencies changes, it can make exports more or less expensive for foreign buyers, which can affect the level of exports. Tariffs are taxes on imports, which can make domestic products more competitive in foreign markets.

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Answer:

Step-by-step explanation:

2 numbers that differ by 3 and have a product of 88 are 11 and 8.

Let's say that the very first figure is x and the next is y.

x - y = 3 -----> y=x-3 .........(i)

xy=88 .......(ii)

Substitute (i) to (ii)

xy=88

x(x-3)=88

x\(x^{2} - 3x = 88\\x^{2} - 3x - 88 = 0\)

(x+8)(x-11)=0

x+8=0 or x-11=0

x=-8 or x=11

Substitute x=-8 to (i)

y=x-3

y=-8-3=-11

Substitute x=11 to (i)

y=x-3

y=11-3=8

Thus, x = -8 and y =- 11 or x = 11 and y = 8

2 numbers that differ by 3 and have a product of 88 are 11 and 8.

A 2nd equation with the form ax2 + bx + c = 0 denotes a quadratic equation, where a, b, and c are real-number coefficients and a 0.  For instance, if school administration decides to build a chapel with a floor size of 400 sq metres and a length that is two meters longer than its width, we will need the aid of a quadratic equation to determine the length and breadth. 

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Answer:

x= -5    y= 6

Step-by-step explanation:

Answer:

y2

x3

-4

=x10

11

22

x10

y3

x14

Answer:

Slope = 6, y-intercept = -12.

Step-by-step explanation:

Slope is the coefficient of the x-term, which is 6 in this case.

The y intercept is the constant term that comes after the x-term, which is -12.

Answer:

18.4.

Step-by-step explanation:

9+9=18.

4+4=8.

then you just have to put then together 18.4

Answer:

18.8

Step-by-step explanation:

ignore the decimal and multiply:

94 x 2 = 188

add the decimal back to its place

18.8

Extra people required is 50.

Each of the five workers should increase their efficiency to a rate of 15 sandwiches per 10 hour shift.

Proportions are defined as the concept where two or more ratios are set to be equal to each other.

Question 1 :

Number of associates = 30

Number of direct workers = 30 - 2 = 28

You work 8 hours a day and 5 days a week with two 15 minutes break or 30 minutes break per day.

Direct rate = 150 units per hour

Number of working hours in a week with break = 8 × 5 = 40 hours per week Number of working hours in a week = 7.5 hours per day × 5 days a week

                                                            = 37.5 hours per week

Units that department produce in a 40 hour week = 37.5 × 150 = 5625 units

28 people produce 5625 units in a week

Let x people produce 10,000 + 5625 = 15,625 units in a week

Using proportion,

28 : 5625 = x : 15,625

28 / 5625 = x / 15,625

x = (28 × 15,625) / 5625 = 77.78 ≈ 78

Extra people required = 78 - 28 = 50

Question 2 :

Number of sandwiches made in 10 minutes = 1

Number of sandwiches made in 10 hours = 60

5 workers are there. one worker makes 60/5 = 12 sandwiches

But Deli want number of sandwiches in 10 hours = 75

One worker should make 75/5 = 15 sandwiches instead of 12.

Number of sandwiches made in 8 minutes should be 1.

So the working efficiency on each worker should be increased and produce each one should produce 15 sandwiches in a 10 hour shift.

Hence extra people required in question 1 is 50 and efficiency of each worker in question 2 should be increased to 15 sandwiches in 10 hours shift.

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Given wave function for a particle is:ψ(x)=(2/A)​sinAπx​(a) The probability of finding the particle between x = 0 and x = A is to be computed. Probability density function is given as:

P(x) = |ψ(x)|²ψ(x) = (2/A)​sinAπx​P(x) = |(2/A)​sinAπx​|²P(x) = (4/A²)sin²AπxA

= ∫₀ᴬ P(x) dx= ∫₀ᴬ |(2/A)​sinAπx​|² dx= ∫₀ᴬ (4/A²)sin²Aπx dx.

Applying the formula of sin²θ = 1/2 - cos2θ / 2= ∫₀ᴬ (2/A²) [1 - cos(2Aπx)] dx= (2/A²) [x - sin(2Aπx)/2Aπ]₀ᴬ= 1.

Hence, the probability of finding the particle between x = 0 and x = A is 1.

As per the above computation, it is evident that the probability of finding the particle between x = 0 and x = A is 1. Therefore, it can be concluded that the particle can be found at any point in the given interval with equal probability. This also shows that the particle is bound between the limits of x = 0 and x = A.

(b) The probability of finding the particle between x = 0 and x = A/2 is to be computed.

Probability density function is given as:

P(x) = |ψ(x)|²ψ(x) = (2/A)​sinAπx​P(x) = |(2/A)​sinAπx​|²P(x)

= (4/A²)sin²AπxA/2 = ∫₀ᴬ/₂ P(x) dx

= ∫₀ᴬ/₂ |(2/A)​sinAπx​|² dx= ∫₀ᴬ/₂ (4/A²)sin²Aπx dx.

Applying the formula of sin²θ = 1/2 - cos2θ / 2= ∫₀ᴬ/₂ (2/A²) [1 - cos(2Aπx)] dx= (2/A²) [x - sin(2Aπx)/2Aπ]₀ᴬ/₂= 1/2.

Hence, the probability of finding the particle between x = 0 and x = A/2 is 1/2.

As per the above computation, it is evident that the probability of finding the particle between x = 0 and x = A/2 is 1/2. Therefore, it can be concluded that the particle is likely to be found between the limits of x = 0 and x = A/2. It is to be noted that the probability of finding the particle is not equal at all points in the given interval.

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One or more of the mean differences are statistically significant, but not the precise location of the group differences.

In mathematical modeling, statistical modeling, and experimental sciences, there are dependent and independent variables. A variable that is independent is precisely what it sounds like. It is a stand-alone variable that is unaffected by the other variables you are attempting to assess. Age, for instance, might be an independent variable.

Dependent variables are so-called because, during an experiment, their values are examined on the assumption or presumption that they are governed by the values of other variables.

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Answer:

Those must-haves should include food, clothing, housing and insurance. And it also should include emergency and retirement savings, Luber said.

Step-by-step explanation:

hope this helped:)

brainliest for the brains:)

The average R-value for the entire attic is approximately R-37.6.

To calculate the average R-value, you need to consider the weighted average of the R-values for the insulated and pull-down stairs areas. Follow these steps:

1. Calculate the percentage of the attic covered by insulation and pull-down stairs: Insulated area (990 sqft) is 99% and pull-down stairs area (10 sqft) is 1% of the total attic area (1000 sqft).

2. Multiply the percentage of each area by their respective R-values: 99% * R-38 = 37.62 and 1% * R-1 = 0.01.
3. Add the weighted R-values: 37.62 + 0.01 = 37.63 ≈ R-37.6.

The average R-value for the entire attic is approximately R-37.6, taking into account both the insulated and pull-down stairs areas.

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Answer:

y=-1/3x + 17/3

Step-by-step explanation:

Just follow the slope-intercept form formula-

Formula: y=mx+b

Key:

y = y-coordinate

m = slope

x = x-coordinate

b = y-intercept

Let me know if you have any questions, hope this helps! (:

The given expression \(m^6p^{-3}v^{10} .\ m^2p^5v^2\) for all values of m, p, and v is equivalent to \(m^{8}p^{2}v^{12}\). Therefore, option D is the right choice for this question.

Monomials are algebraic expressions with single terms. They can be said to be specialized cases of polynomials.

We are given the algebraic expression - \(m^6p^{-3}v^{10}\) . \(m^2p^5v^2\)

To simplify it we will use the rules of the indices as follows -

\(a^{m}.\ a^{n} = a^{m+n}\)

Now,

\(m^6p^{-3}v^{10}\) . \(m^2p^5v^2\)

Segregating the like variables, we get,

= \((m^6.\ m^2) .\ (p^{-3}.\ p^{5}) .\ (v^{10}.\ v^{2})\)

by using the rules of indices, we will get,

= \((m^{6+2}) .\ (p^{-3+5}) .\ (v^{10+2})\)

= \((m^{8}) .\ (p^{2}) .\ (v^{12})\)

= \(m^{8}p^{2}v^{12}\)

Hence, the given expression \(m^6p^{-3}v^{10} .\ m^2p^5v^2\) is equivalent to \(m^{8}p^{2}v^{12}\).

Therefore, option D is the right choice for this question.

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Answer:

-4.9

Step-by-step explanation:

The intervals are by 0.1 because in the lenght of 0.5, there are five small lines. One line greater than 5 would be -4.9.  

IM NOT QUIT SO SURE BUT IF MY CALCULATIONS ARE CORRECT ITS C

Answer:

i got u, its A

Step-by-step explanation:

Answer:

B 12 boys and 16 girls

Step-by-step explanation:

Make the ratios into fraction form. Simplify all of the fractions. The fraction that equals the original ratio is the correct answer. Dived both 12 and 16 by 4 and you get 3 and 4.

Brainliest please

Answer:

B

Step-by-step explanation:

Because 3 times 4 is 12 and 4 times 4 is 16 so that shows that they are equivalent hope it helps have a nice day