Juniors will be hosting prom this year. They will need to make at least $ 4000 in profits from selling tickets. The juniors estimate there can be at most 600 students that can attend prom because of the size of the venue. They will profit $ 20 for each ticket sold in advance and $ 40 for each ticket sold at the door. Name your variables, and write a system of inequalities.

Answer:

The sign of all will be positive because 48  lie in 1st quadrant

Step-by-step explanation:

sin(48)= 0.743

cos(48)=0.669

tan(48)=1.11

cosec(48)=1.345

sec(48)=1.495

cot(48)=0.90

The sign of all will be positive because 48  lie in 1st quadrant.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

here, we have,

sin(48)= 0.743

cos(48)=0.669

tan(48)=1.11

cosec(48)=1.345

sec(48)=1.495

cot(48)=0.90

Hence, The sign of all will be positive because 48  lie in 1st quadrant.

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Answer:

$8775 is the value of the investment after seven years

Answer:

[tex]1.\ x = 5\ in[/tex]

[tex]2.\ x = 5\ mi[/tex]

[tex]3.\ x = 8.6\ km[/tex]

[tex]4.\ x= 14.1\ mi[/tex]

Step-by-step explanation:

Given

See attachment for triangles

Required

Determine the missing sides

All 4 triangles are right-angled. So, to calculate the missing sides, we apply Pythagoras theorem which states that:

[tex]Hyp^2 = Adj^2 + Opp^2[/tex]

Solving (1):

[tex]Hypotenuse = 13[/tex]

So, we have:

[tex]13^2 = 12^2 + x^2[/tex]

[tex]169 = 144 + x^2[/tex]

Make [tex]x^2[/tex] the subject

[tex]x^2 = 169 - 144[/tex]

[tex]x^2 = 25[/tex]

Take positive square root of both sides

[tex]x = \sqrt{25[/tex]

[tex]x = 5\ in[/tex]

Solving (2):

[tex]Hypotenuse = x[/tex]

So, we have:

[tex]x^2 = 4^2 + 3^2[/tex]

[tex]x^2 = 16 + 9[/tex]

[tex]x^2 = 25[/tex]

Take positive square root of both sides

[tex]x = \sqrt{25[/tex]

[tex]x = 5\ mi[/tex]

Solving (3):

[tex]Hypotenuse = 14.7[/tex]

So, we have:

[tex]14.7^2 = x^2 + 11.9^2[/tex]

[tex]216.09 = x^2 + 141.61[/tex]

Make [tex]x^2[/tex] the subject

[tex]x^2 = 216.09 - 141.61[/tex]

[tex]x^2 = 74.48[/tex]

Take positive square root of both sides

[tex]x = \sqrt{74.48[/tex]

[tex]x = 8.6\ km[/tex]

Solving (4):

[tex]Hypotenuse = 15.4[/tex]

So, we have:

[tex]15.4^2 = x^2 + 6.3^2[/tex]

[tex]237.16 = x^2 + 39.69[/tex]

Make [tex]x^2[/tex] the subject

[tex]x^2= 237.16 - 39.69[/tex]

[tex]x^2= 197.47[/tex]

Take positive square root of both sides

[tex]x= \sqrt{197.47[/tex]

[tex]x= 14.1\ mi[/tex]

Answer:

[tex]y= -\frac{7}{3}x -7[/tex]

Step-by-step explanation:

Answer:

y

=

−

7

3

x

−

7

Step-by-step explanation:

Brainliest?

Answer:

Linear

Step-by-step explanation:

The equation y = 3x - 7 is a linear.

A linear equation represents a straight line on a graph, where the variables (in this case, x and y) have a linear relationship.

The equation has a constant coefficient (3) multiplying the variable (x), and a constant term (-7) added or subtracted.

An exponential equation involves variables in the exponent, such as

y = abˣ, where a and b are constants.

The variable x is in the exponent, indicating exponential growth or decay.

Since the equation y = 3x - 7 has a linear relationship and represents a straight line, it is classified as a linear equation.

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Answer:

-1

Step-by-step explanation:

Well, at g(0), x = 0, and -2 ≤ 0 < 1, so according to the function definition, we'll need to use [tex]g(x)=-x-1[/tex] to evaluate g(0).

Plugging in 0 for x in this expression gives us [tex]g(0)=-0-1=-1[/tex].

Step-by-step explanation:

True

When an equation has one solution,The variable terms on both sides are the same

Answer:

true

hope it helps

thank you.....

Answer:

x=(3-y)/2  

y=3-2x)

Step-by-step explanation:

2x+y = 3

x=(3-y)/2

y=3-2x)

Answer:  [tex]X =\frac{3-y}{2}[/tex]  OR  [tex]y = 3 - 2x[/tex]

Step-by-step explanation:

Answer:

The mean of the sampling distribution of p is of 0.7 and the standard deviation 0.029

Step-by-step explanation:

We use the Central Limit Theorem to solve this question. So

Central Limit Theorem

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Percentage of 70%, sample of 250.

This means that [tex]p = 0.7, n = 250[/tex]

Mean:

[tex]\mu = p = 0.7[/tex]

Standard deviation:

[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.7*0.3}{250}} = 0.0290[/tex]

The mean of the sampling distribution of p is of 0.7 and the standard deviation 0.029

Answer:

μp^ ​​​​= 0.7

σp^ = √0.7(0.3)/250​​​

Step-by-step explanation:

I had this question on khans

Answer:

22

Step-by-step explanation:

Sum of two integers is 15. One integer is -7 and suppose other integer is x. Then  

x+(-7)=15

x=22

Answer: 41-7=m

Mike is 34 yrs

Step-by-step explanation:

Step-by-step explanation:

First, S must be 4, as if S was 5 the sum would be a 4 digit number.

T+N should be greater than 10 as we want to find the maximum.

Similarly, A+U must be greater than 10, making O equal to 9

We know that A+U-10 = T+N if T+N is less than 10 -- if T+N is greater than 10, A+U-10 = T+N - 10

Writing a quick python script that's not the cleanest nor most concise, I have

import pandas as pd

sols = []

sols_combos = []

num_sols = 0

for a in range(0, 10):

   for u in range (0,10):

       for t in range(0,10):

           for n in range(0,10):

               if (len({a,u,t,n}) == 4) & (4 not in {a,u,t,n}) & (9 not in {a,u,t,n}):

                   if (a+u >= 10):

                       if (t+n >= 10):

                           if ((a+u-10) == (t+n-10)):

                               sols.append(a+u-10)

                               sols_combos.append([a,u,t,n])

                               num_sols += 1

                       else:

                           if ((a+u-10) == (t+n)):

                               sols.append(a+u-10)

                               sols_combos.append([a,u,t,n])

                               num_sols += 1

list_max = [i for i, x in enumerate(sols) if x == max(sols)]

pd.Series(sols_combos).loc[list_max]

as my script.

the maximum I get for F is 5, and the solutions, in terms of A, U, T, and N are as follows:

[7, 8, 0, 5]

[7, 8, 2, 3]

[7, 8, 3, 2]

[7, 8, 5, 0]

[8, 7, 0, 5]

[8, 7, 2, 3]

[8, 7, 3, 2]

[8, 7, 5, 0]

This means that F is 5

Answer:

x=-2

Step-by-step explanation:

Step 1: Subtract 6 from both sides.

−2x+6−6=10−6

−2x=4

Step 2: Divide both sides by -2.

−2x=4

Answer:

Step-by-step explanation:

Given the sequence 1.4,5.5,9.6,13.7,...

The nth term of am arithmetic sequence is expressed as;

Tn = a+(n-1)d

a is the first term

n is the number of terms

d is the common difference

From the given data;

a = 1.4

d = 5.5-1.4 = 9.6-5.5 = 4.1

n = 72 (since we are looking for the 72nd term)

Substitute;

T₇₂ = 1.4+(72-1)(4.1)

T₇₂ = 1.4+71(4.1)

T₇₂ = 1.4+291.1

T₇₂ = 292.5

Hence the 72nd term of the sequence is 292.5

===========================================

Work Shown:

(6x-2)-(-x+5)

6x-2+x-5

(6x+x)+(-2-5)

7x-7

When distributing the negative, don't forget to apply the negative to every term inside the parenthesis. So that means -x flips to x, while +5 flips to -5.

Answer:

Step-by-step explanation:

o=-8

-56=7*(-8)=-56

Answer:

77.5

Step-by-step explanation:

105-27.5

Answer:

[tex]t = -7\ \ \ or\ \ t = 10[/tex]

Step-by-step explanation:

Given

[tex]f(t) = 2t^2 - 6t[/tex]

Required

Find t, when [tex]f(t) = 140[/tex]

Substitute 140 for f(t) in [tex]f(t) = 2t^2 - 6t[/tex]

[tex]140 = 2t^2 - 6t[/tex]

Divide through by 2

[tex]\frac{140}{2} = \frac{2t^2 - 6t}{2}[/tex]

[tex]70 = t^2 - 3t[/tex]

[tex]t^2 - 3t = 70[/tex]

Subtract 70 from both sides

[tex]t^2 - 3t - 70= 70 - 70[/tex]

[tex]t^2 - 3t - 70= 0[/tex]

Expand

[tex]t^2 -10t + 7t - 70 = 0[/tex]

Factorize:

[tex]t(t - 10) + 7(t - 10) = 0[/tex]

[tex](t + 7)(t - 10) = 0[/tex]

Split:

[tex]t + 7 = 0\ \ \ or\ \ t - 10 = 0[/tex]

[tex]t = -7\ \ \ or\ \ t = 10[/tex]

Hence, the values of t are -7 and 10

Answer:

0.63

Step-by-step explanation:

Answer:

no solutions or infinite solutions

Step-by-step explanation:

Answer:78.75

Step-by-step explanation:21 percent of 4500 945 divided my 12 which is 78.75

Answer:

2

Step-by-step explanation:

2x + 1 =5

2x=4

x=2

First isolate the term containing x which is 2x.

Subtract 1 from both sides to get 2x = 4.

Since x is being multiplied by 2, divide both sides by 2 and we have x = 2.

Answer:

its 12 :)

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

THE ANSWER IS 12

Answer:

$2,475

Step-by-step explanation:

Given that :

Worth of IRA retirement = $9900

Alonzo's tax bracket = 25%

Amount to be paid as tax upon withdrawal :

25% * $9900

0.25 * $9900

= $2,475

Answer:

the point C(x,0) = C(3,0) is the point where AC + BC is minimum.

Step-by-step explanation:

Solution:

This question is very simple to solve.

We need to find the x and y elements of point C, which is on the x-axis such that AC + BC = minimum.

So,

As, we have said that, point C is on the x-axis then, it means its y co ordinate will be equals to zero.

Now, we just need to find x co ordinate of the point C.

C (x, 0) as it is on the y -axis.

So, for that, we need to take the mirror image of point B. It means, its x co-ordinate will remain same but y co-ordinate will be negative.

So, our mirror image of B(6,9) = B'(6,-9)

Now, we have to join the points A and B'. Point C, which we are trying to find is the point where this line AB' intersects with x - axis.

So,

Slope of the line AB'

m = [tex]\frac{y1-y2}{x1-x2}[/tex]

m = [tex]\frac{3- - 9}{2 - 6}[/tex] =  [tex]\frac{3+9}{2-6}[/tex]

m = [tex]\frac{12}{-4}[/tex] = -3

m = slope = -3

We also know that the equation of line:

y = mx + b

where b = y-intercept.

Now, we need to find the y - intercept of this line.

y = (-3) x + b

where y = -9 and x = 6

so,

-9 = (-3) (6) + b

b = -9 + 18

b = 9 = y - intercept.

SO,

y = mx + b

and For point C(x, 0) y = 0

0 = -3x + 9

Solve for x:

3x = 9

x = 3

Hence, the point C(x,0) = C(3,0) is the point where AC + BC is minimum.

Answer:

the answer is 45.9

Step-by-step explanation:

Answer:

45.9

Step-by-step explanation: