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ivolga24 [154]
3 years ago
9

There are 5 slides, i've provided image for them all i need help with it. if your going to answer write it in order from slide 1

-5 so it's easier to understand.

Mathematics
2 answers:
Nana76 [90]3 years ago
6 0

Answer:

mark as brainleast and fo-ll-ow me

Alenkinab [10]3 years ago
5 0

<u>Slide 1.</u>

Part A.

1. Band A:  y = 600

2. Band B: y = 1.25x + 350

Part B.

200 students.

<u>Slide 2.</u>

Part A.

Fixed cost = $150

Rate per student served = $6

Part B.

To figure the cost/person, look at the change in cost divided by the change in attendance.

For 100 students, cost = $750.

For 150 students, cost = $1050.

Change in cost = $300

Change in students = 50

Cost per additional student = 300/50 = $6

Assuming the costs are linear, then the price charged for 100 students reflects the cost per student + a 'fixed cost' that applies to the order as a whole.

100 * 6 = $600, so the fixed cost is 750-600 = 150.

We can check this notion by substituting in the other equation.

Does 150*6 + 150 = 1050? Yes.

150*6=900

900+150 = 1050.

<u>Slide 3.</u>

Part A.

She can choose either band, with $9.75 per ticket, if 200 students attend

Part B.

Check the cost using band A and 200 people, including food

600 + 150 + (6*200) =

600 + 150 + 1200 = $1950

Cost per ticket: = 1950/200 = $9.75

Cost using band B, 200 people, including food:

350 + 1.25(200) + 150 + (6*200) =

350 + 250 + 150 + 1200 = $1950

Cost per ticket: 1950/200 = $9.75

This means that Paula can choose either band, and the ticket cost will be the same.

<u>Slide 4.</u>

Part A.

Cost per ticket: $8.50 (of Band A, since it is the cheaper one)

Part B.

Check the cost using band A and 300 people, including food

600 + 150 + (6*300) =

600 + 150 + 1800 = $2250

Cost per ticket: = 2250/300 = $8.50

Cost using band B, 200 people, including food:

350 + 1.25(300) + 150 + (6*300) =

350 + 375 + 150 + 1800 = $2675

Cost per ticket: 2675/300 ≈$8.92

Which means that in this scenario is Band A is less expensive.

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Answer:

Step-by-step explanation:

Remark

Anything multiplied by 0 = 0. So the whole right side is 0.

(6x - 9)*3 - 1  = 0                       Add 1 to both sides.

(6x - 9)*3 - 1 + 1 = 0 + 1             Combine

(6x - 9)*3 = 1                             Divide both sides by 3

(6x - 9)*3/3 = 1/3                      Simplify

(6x - 9) = 1/3                             Remove brackets. Add 9 to both sides

6x - 9+9 = 9 1/3                        Combine

6x = 9 1/3

6x = 28/3                                   Divide both sides by 6

6x / 6 = 28/3 // 6                       Invert the 6 and multiply.

x = 28/3 * 1/6

x = 28/18

Answer

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2 years ago
PLEASE HELP! WILL NAME BRAINLIEST!!
lbvjy [14]

Answer:

Y = 60 degrees and X = 12

Step-by-step explanation:

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3 years ago
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The diameter of a circle has length 12. The center is at*(-5, 2). Give the equation
labwork [276]

Answer:

Equation of the circle is : x^{2} + 10x + y^{2} -4y -7 =0

Step-by-step explanation:

Let us consider the image attached in the answer area.

The center<em> O</em> has the co-ordinates i.e. <em>(-5,2)</em> and the diameter given is <em>12 units</em>.

We know that radius is half of diameter.

\text{Radius = }\dfrac{\text{Diameter}}{2}

\text{Radius = }\dfrac{12}{2}\\\Rightarrow \text{Radius = 6units}

The equation for circle given the center and radius, can be represented as:

(x-a)^{2}+ (y-b)^{2} = r^{2}

Where <em>(a,b)</em> is the co-ordinate of center and <em>r</em> is the radius.

Let us consider the following formula:

(p+q)^2 = p^{2}+ q^{2} +2pq\\(p-q)^2 = p^{2}+ q^{2} -2pq

(x-(-5))^{2}+ (y-2)^{2} = 6^{2}\\\Rightarrow (x+5)^{2}+ (y-2)^{2} = 36\\\Rightarrow x^{2} + 25 + 10x +y^{2} + 4-4y=36\\\Rightarrow x^{2} + 10x +y^{2} -4y-7=0

Hence, Equation of the circle is : x^{2} + 10x + y^{2} -4y -7 =0

4 0
3 years ago
Type the correct answer in each box. The reflection of point S across the y-axis is point . The reflection of point Q across the
tresset_1 [31]

Answer:

S' = (-5,-5)

Q"=(-5,-5)

Step-by-step explanation:

Given

S = (5,-5)

Q= (5,5)

Solving (a): Reflect S across y-axis

The rule to reflect across y-axis is:

(x,y) \to (-x,y)

So, we have:

S(5,-5) \to S'(-5,-5)

Hence:

S' = (-5,-5)

Solving (b): Reflect Q across x and y-axis

The rule to reflect across x-axis is:

(x,y) \to (x,-y)

So:

Q(5,5) \to Q'(5,-5)

The rule to reflect across y-axis is:

(x,y) \to (-x,y)

So:

Q'(5,-5) \to Q"(-5,-5)

Hence:

Q"=(-5,-5)

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3 years ago
Write the equation of the line that is parallel to the line y=−14x−3 through the point (4,4).
statuscvo [17]

Hello there! :)

Parallel lines have the same slope, so if one line has a slope of -14, then the line parallel to it has a slope of -14 as well.

We are also given a point that the line passes through.

That's enough information to find the equation of the line.

First, we write the equation in point-slope form, which looks like so:

y-y1=m(x-x1)

y1 is the y-coordinate of the point, m is the slope of the line and x1 is the x-coordinate of the point.

y-4=-14(x-4)

y-4=-14x+56

y=-14x+60

Hence, that's the equation. Hope it helps.

~A lonely teen who helps others with a smile

-Grace

Good luck.

7 0
2 years ago
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