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saw5 [17]
3 years ago
13

: student council is selling tickets to the fall ball dance. Tickets cost $6.00 per person , or $10 per couple. To cover the exp

enses required, they need to make at least $1,450. Let x represent the number of individual ticket sold, and y represent the number of couple tickets sold. Write a linear inequality to model the situation
Mathematics
1 answer:
Mademuasel [1]3 years ago
5 0

6x  + 10y \geqslant 1450
This basically says that the total money made from tickets will be gretarr than or equal to $1450.
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Convert the angle \theta=260^\circθ=260
mel-nik [20]

Question:

Convert the angle θ=260° to radians.

Express your answer exactly.

θ = ___ radians

Answer:

260° = 13π/9 or 4.54 rad

Step-by-step explanation:

Given

θ=260°

Required

Convert from degree to radians

To convert an angle in degrees to radians, we simply follow the steps below.

1° = 1 * π/180 rad

Replace the 1° with x

So,

x° = x * π/180 rad.

Now, we assume that x = 260

This means that we substitute 260 for x. This gives

260° = 260 * π/180

260° = 260π/180

Divide numerator and denominator by 20

260° = 13π/9

We can leave the answer in this form or solve further.

Take π as 22/7. This gives

260° = 13/9 * 22/7

260° = 286/63

260° = 4.5396825397

260° = 4.54 rad (Approximated)

3 0
3 years ago
What are the x- and y- coordinates of point P on the directed line segment from K to J such that P is Three-fifths the length of
Mrrafil [7]

Answer:

\left ( \frac{3x_2+5x_1}{8},\frac{3y_2+5y_1}{8} \right )

Step-by-step explanation:

Given: P is Three-fifths the length of the line segment from K to J

To find: x- and y-coordinates of point P on the directed line segment from K to J

Solution:

Section formula:

Let point K and J be (x_1,y_1)\,,\,(x_2,y_2) such that the point p(x,y) divides KJ in ratio m:n

Then coordinates of point  P are given by \left ( \frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n} \right )

Take m:n=3:5

So,

coordinates of point P = \left ( \frac{3x_2+5x_1}{3+5},\frac{3y_2+5y_1}{3+5} \right )=\left ( \frac{3x_2+5x_1}{8},\frac{3y_2+5y_1}{8} \right )

7 0
3 years ago
Michael has a rope that is 13 meters long. He cuts away a piece that is 9.88 meters long. How long is the remaining piece of rop
vagabundo [1.1K]

Answer:

<em>3.12 m</em>

Step-by-step explanation:

13 - 9.88 = 3.12

6 0
3 years ago
For the function f(x) = x + 5, what is the ordered pair for the point on the graph when x = 4w? (1 point)
Dominik [7]
We are given the function f(x) = x + 5 in which the abscissa chosen is at x = 4w. To find the ordinate or the y-component, we replace x with 4w in the equation given. In this case, y = 4w + 5. Hence the answer to this problem is B. (4w, 4w + 5) 
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3 years ago
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Answer:

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Step-by-step explanation:

length times width = area

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