An adult ticket for a musical cost $12. A children's ticket for the musical cost $4. The number of adult tickets sold is 4 times the number of children's tickets sold. A total of 1560 is taken in for ticket sales.

1. 160 adult tickets and 40 children's tickets
2. 120 adult tickets and 30 children's tickets
3. 40 adult tickets and 160 children's tickets
4. 30 adult tickets and 120 children's tickets

Answer: -80

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is the general method for doing this problem. First factor these numbers into primes.

72: 2 * 2 * 2 * 3 * 3

84: 2*2 * 3 * 7

Now each number has at least two 2s

Each number has at least one          3

The highest common factor is 2 * 2 * 3 = 12

Answer: B) Outside the triangle

Step-by-step explanation:

The circumcenter of a obtuse triangle is always outside of the triangle

Answer:

the third one

Step-by-step explanation:

jsut took it

Answer:

It’s C

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

You could expand t to 1+1+1+1+1+1 which would give you 6.

Answer:

2+4=6

Step-by-step explanation:

Answer:

go to sleep its 11:23 also u will get

$65 dollars pls mark me brainleist

Step-by-step explanation:

Answer:

7x+7 > 23-x

group like terms

7x+ x > 23-7

8x > 16

we divide both side by

8x > 16

8 8

so 8 cancelled out 8 living

x > 16

8

x > 2

8

we

If x = -4 is a root of f(x), then dividing f(x) by x + 4 leaves a remainder of 0.

Compute the quotient,

(x³ - kx + 12) / (x + 4)

x³ = x² • x, and

x² (x + 4) = x³ + 4x²

Subtract this from the dividend (f(x)) to get an initial remainder of

(x³ - kx + 12) - (x³ + 4x²) = -4x² - kx + 12

-4x² = -4x • x, and

-4x (x + 4) = -4x² - 16x

Subtract this from the previous remainder to get a new one of

(-4x² - kx + 12) - (-4x² - 16x) = (16 - k) x + 12

(16 - k) x = (16 - k) • x, and

(16 - k) (x + 4) = (16 - k) x + 64 - 4k

which gives the next remainder,

((16 - k) x + 12) - ((16 - k) x + 64 - 4k) = 4k - 52

4k - 52 does not divide x, so we're done and what we've shown is

f(x) / (x + 4) = x² - 4x + 16 - k + (4k - 52)/(x + 4)

(just gathering the bold terms above and the last remainder)

The remainder should be 0, so that

4k - 52 = 0

4k = 52

k = 13

Answer:

Expected value = 7 x 0.9 = 6.3

Step-by-step explanation:

Probability of getting a good apple is 18/20 = 0.9

Probability of getting a bad apple is 2/20 = 0.1

This follows a binomial distribution because either you get a good apple or a bad apple.

The expected value of a binomial distribution is given as n*p where n is number of trials and p is the probability of success.

In this case our number of trials is 7 and the probability of success is 0.9, since the trials are for getting good apples.

Hence

n = 7

p = 0.9

Expected value = 7 x 0.9 = 6.3

Answer:

I believe the answer is "rhombus." so B

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

I think it would be a

Step-by-step explanation:

I think it would be a because when you divide by a negative number the sign flips

[tex] {x}^{2} - 2 {x}^{2} - 4 \\ - {x}^{2} - 4[/tex]

The Quadratic Function has the domain as the set of all real numbers.

For the range, start from minimum value to maximum value.

But because the parabola is downward as a < 0. Thus, there are no minimum value but the maximum value instead.

Therefore the range is y <= -4

Answer:

Option C is the only correct answer.

Step-by-step explanation:

We can see from the number line that a is to the left of zero, so it is negative. This means option A is incorrect.

Since b is to the left of zero, b is also negative. This means that -b is positive. Since c is to the left of zero, c is negative. Therefore, option B is incorrect: a negative number can never be greater than a positive number.

We see from the number line that a is less than c. Since both a and c are negative, this implies that -a > -c. Therefore, option C is correct.

Answer:

D

Step-by-step explanation:

Slope is negative, derivative of x shows that -3 is the maximum in C/D but C is not negative

The function F(x) = -3(x + 3)^2 + 3.

The correct option is (D).

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). A variable y is said to be a function of the independent variable x if there is a relationship between them.

As per the given data:

We are given the equation of the functions G(x) and we have to find out the equation of the function F(x).

Equation of G(x) = x^2

For a left shift of 3 units x → x + 3.

⇒ y = (x + 3)^2

For a change in concavity, if the curve, multiply by -3.

⇒ y = -3(x + 3)^2

For an up shift of 3 units y → y -3.

⇒ y - 3 = -3(x + 3)^2

The function F(x) comes out to be:

F(x) = -3(x + 3)^2 + 3

Hence, The function F(x) = -3(x + 3)^2 + 3.

To learn more about Function, click:

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Answer:

The yield to maturity is 6.3974%

Step-by-step explanation:

The computation of the yield to maturity is as follows

Given that

NPER = 18 × 2 = 36

PMT = $1,035.25 × 6.50% ÷ 2 = $33.65

PV = $1,035.25

FV = $1,000

The formula is shown below:

=RATE(NPER;PMT;-PV;FV;TYPE)

The present value comes in negative

AFter applying the above formula, the yield to maturity is

= 3.1987% × 2

= 6.3974%

Hence, the yield to maturity is 6.3974%

Answer:

origin of the graph (0)

Step-by-step explanation:

because it does not have a b value it is zero if there is no plus or minus a number at the end it is always 0 when dealing with the y=mx+b equation

Answer:

B

Step-by-step explanation:

To make the perfect square the first step is  Subtract 40 from both sides option (A) is correct.

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex]  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

The complete question is:

Which is the best first step to solve 5x²+12x = 40 by completing the square?

We have a quadratic equation:

5x²+12x = 40

To make the perfect square:

First, subtract 40 from both sides.

5x²+12x - 40 = 40 - 40

5x²+12x - 40 = 0

Thus, to make the perfect square the first step is  Subtract 40 from both sides option (A) is correct.

Learn more about quadratic equations here:

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Answer:

I think it's 30 but I'm not 100% sure

Answer:

28$

Step-by-step explanation:

You subtract 2 from 8 which is 6, you then multiply 6 times 3.50. Then add 7, which you get 28$

Answer:

$28.000000000000000000000000000000000

Step-by-step explanation:

Lol they're called, wait, what are they called again? ;-; no no I really forgot this time.

Onto the Problamo

We purchase 8 books in total. The first two books cost $7. So that 2/8 books purchased. now we need to purchase 6 more. Because It says: $3.50 per book, we do 3.50*6 or 3.50+3.50+3.50+3.50+3.50+3.50. so 7$ from the 2 books from the first statement plus $21 from the leftover 6 books.

7+21=28$

so I owe the school book fair $28 in the end

Answer:

E(X) = 6

Var(X) = 3.394

Step-by-step explanation:

Let X represent the number of carp caught out of the 20 fishes caught. Now, if we are to assume that each

of the (100, 20) ways to catch the 20 fishes will be equally likely.

Thus, we can say that X fulfills a hypergeometric

distribution with parameters as follows;

n = 20, N = 100, k = 30

Formula for expected mean value in hypergeometric distribution is;

E(X) = nk/N

E(X) = (20 × 30)/100

E(X) = 6

Formula for variance is;

Var(X) = (nk/N) × [((n - 1)(k - 1)/(N-1))) + (1 - nk/N)]

Var(X) = ((20 × 30)/100) × [((20 - 1)(30 - 1)/(100 - 1)) + (1 - (20 × 30/100)]

Var(X) = 6 × 0.5657

Var(X) = 3.394

Answer:

5x+3y

Step-by-step explanation:

2x+3x=5x since they have the same variable.

y+2y

1y+2y u can put a 1 so that would be 3y

5x+3y

9514 1404 393

Explanation:

1. Consider the attachment. Angle CDF is a circumscribed angle. It is formed at the intersection of two tangents to the circle. Angles BCE, CBE, and BEC are inscribed angles. Their vertices are on the circle, and they are formed by two chords.

If a chord degenerates to zero length, the ray it represents with respect to an inscribed angle becomes a tangent. That is, angles BCD and ECD can also be considered to be inscribed angles. Similarly, straight angle DFG at tangent point F can be considered to be a degenerate case of both an inscribed angle and a circumscribed angle. (Some authors may not include degenerate cases in their definitions. YMMV)

__

2. The general form of the equation of a circle is ...

  Ax² +Ay² +Dx +Ey +F = 0

Any equation of a circle can be put in this form. If we divide by A, this can be written as ...

  x² +y² -2hx -2ky +c = 0 . . . . where h = -D/(2A), k = -E/(2A), c = F/A

and the equation can be further transformed to the standard form ...

  (x -h)² +(y -k)² = r² . . . . . where r² = h² +k² -c

The last equation is the result of "completing the square" by adding h² and k² to both sides of the second equation shown. The values of h and k are as shown above, given the coefficients of the general form equation.

__

3. Again refer to the attached diagram.

a) a radius is a line segment with the circle center at one end and a point on the circle at the other end. AB and AC are radii.

b) A diameter is a line segment whose ends are on the circle and whose midpoint is the center of the circle. BC is a diameter.

c) A chord is a line segment whose end points lie on the circle. BC, BE, and CE are chords.

d) A secant is a line containing two points of the circle. Lines CG and CE are secants.

e) A tangent is a degenerate case of a secant in which the two points of intersection merge to one point of intersection. It is a line that touches the circle at exactly one point, the point of tangency. DG and DC are tangents.

f) The point of tangency is the single point where a tangent intersects a circle. A radius to the point of tangency (such as AC) is always perpendicular to the tangent line (DC).

Answer:

i believe it would be the last option.

Step-by-step explanation:

This question is incomplete, the complete question is;

Find a set of parametric equations of the line with the given characteristics. (Enter your answer as a comma-separated list of equations in terms of x, y, z, and t.) The line passes through the point (3, 1, 2) and is parallel to the line given by x  = y = z.

Answer:

the set of parametric equations of the line with the given characteristics are; x = t+3, y = t+1, z = t+2

Step-by-step explanation:

Given that;

line x = y = z and point ( 3, 1, 2 )

the given line can be written as;

[x-0 / 1] = [y-0 / 1] = [z-0 / 1]

if two lines are parallel directional ratios are equal.

so DIRECTIONAL RATIOS  of given line is ( 1, 1, 1 )

therefore required line is;

[x-3 / 1] = [y-1 / 1] = [z-2 / 1] = t

⇒ [x-3 / 1] = t

x = t+3

[y-1 / 1] = t

y = t+1

[z-2 / 1] = t

z = t+2

Therefore the set of parametric equations of the line with the given characteristics are; x = t+3, y = t+1, z = t+2

Answer:

22.5 degrees.

Step-by-step explanation: Just change the half to 0.5 so then times 4.5 times 5.

Answer:

22 1/2

Step-by-step explanation:

I did the quiz

answer: 6

Step-by-step explanation:

you have 6 containers. you out 4 fish in each and then 3 plants in each.