Madera High School's Drama Department sold tickets to their next show. Tickets for adults were $10 each and youth were $5 each. A total of 150 tickets were sold costing $1150.

Select the two equations that form the system of equations to determine how many adults and youth attended.

A represents the number of adults that attended and Y represents the number of youth.

Answer:

$324

Step-by-step explanation:

Cost per books = $20

Book cost = $20 * (9 + 6) = 20 * 15 = $300

Cost per magazine = $3

Number of magazines = 8

Magazone cost = 8 * $3 = 24

Total cost = $300 + $24

= $324

Answer:

See bolded below.

Step-by-step explanation:

As you said, you only need help with no. 2:

a) Check the attachments for the lines

b) The equations are, respectively:

y = -4x + 1 [intersects parabola at 1 point]

Check:

[tex]\begin{bmatrix}y=\left(x-2\right)^2-3\\ y=-4x+1\end{bmatrix}[/tex]

[tex]\begin{bmatrix}-4x+1=\left(x-2\right)^2-3\end{bmatrix}[/tex]

[tex]\begin{bmatrix}-4x+1=x^2-4x+1\end{bmatrix}[/tex]

[tex]x^2=0, x = 0[/tex]

[tex]y=-4\cdot \:0+1 = 1[/tex]

[tex]y=1,\:x=0[/tex]

The point of intersection would be (0, 1)

y = -4x + 3 [intersects parabola at 2 points]

Check:

[tex]\begin{bmatrix}y=\left(x-2\right)^2-3\\ y=-4x+3\end{bmatrix}[/tex]

Subtract the 2 equations,

[tex]y=\left(x-2\right)^2-3\\-\\\underline{y=-4x+3}\\y-y=\left(x-2\right)^2-3-\left(-4x+3\right),\\0=x^2-2\\x = \sqrt{2}, x = - \sqrt{2} \\\\\mathrm{Plug\:the\:solutions\:}x=\sqrt{2},\:x=-\sqrt{2}\mathrm{\:into\:}y=\left(x-2\right)^2-3[/tex]

[tex]\begin{pmatrix}x=\sqrt{2},\:&y=3-4\sqrt{2}\\ x=-\sqrt{2},\:&y=3+4\sqrt{2}\end{pmatrix}[/tex]

Therefore the points of intersection are (√2, 3-4√2) and (-√2, 3+4√2) respectively

And finally we have the equation y = - 4x. It doesn't intersect the parabola.

c) The y-intercepts of such graphs are all less than or equal to 0.

supplementary angles = 180°

A : B

17 : 1

170 : 10

Step-by-step explanation:

The height of the swipe card is given by :

[tex]h(t)=-3t^2+15t+18[/tex] .....(1)

We need to find the maximum height of the swipe card and the time to reach the maximum height.

For maximum height, put dh/dt = 0

So,

[tex]\dfrac{d}{dt}(-3t^2+15t+18)=0\\\\-9t+15=0\\\\t=\dfrac{15}{9}\\\\t=1.67\ s[/tex]

It will take 1.67 seconds to reach the maximum height.

Now, put t = 1.67 s in equation (1).

[tex]h(1.67)=-3(1.67)^2+15(1.67)+18\\\\=34.68\ feet[/tex]

Hence, the maximum height of the swipe card is 34.68 feet and the time to reach this height is 1.67 s.

the answer is 26.88 i wish that helped :)

Answer:

Let's call the number of boxes Maria started with:

There are 37 boxes

Step-by-step explanation:

Let's call the number of boxes Kayla started with:

Then we can write:

22

=

b

+

7

2

Where:

22

is the number of boxes Kayla has left.

(

b

+

7

)

is the number of boxes Kayla started with plus the

7

she bought

The division by

2

represents

1

2

of the total boxes Kayla had being destroyed by fire.

We can solve this by first multiplying each side of the equation by

2

to eliminate the fraction while keeping the equation balanced:

2

×

22

=

2

×

b

+

7

2

44

=

2

×

b

+

7

2

44

=

b

+

7

Now, subtract

7

from each side of the equation to solve for

b

while keeping the equation balanced:

44

−

7

=

b

+

7

−

7

37

=

b

+

0

37

=

b

b

=

37

Kayla started out with 37 boxes.

Answer:

x = 37.5

hope that helps

Answer:

The correct answer is the 162xsquare

Answer:

angleQ+angleR is 180degrees because of the properties of isoceles trapezoid. So, if you set equation and solve, you'll get the fact that x is 12, and angleR is 130degrees, and angleQ is 50degrees. According to the properties of isoceles trapezoid, angleQ is the same as angleT. So, angleT is 50degrees

Answer:

Step-by-step explanation:

Answer:

Insurance cost (last year)= £387.5

Step-by-step explanation:

Giving the following information:

Insurance cost= £465

Increase growth rate= 20% = 0.2

To calculate the cost of insurance last year, we need to use the following formula:

Insurance cost (last year)= insurance cost / (1 + insurance growth rate)

Insurance cost (last year)= 465 / (1 + 0.2)

Insurance cost (last year)= £387.5

The amount that Adele pay last year was:£387.5.

Using this formula

Amount paid= Insurance cost / (1 + Insurance growth rate percentage)

Where:

Insurance cost= £465

Increase growth rate percentage=20% or 0.20

Let plug in the formula

Amount paid= £465 / (1 + 0.20)

Amount paid= £465/1.20

Amount paid= £387.5

Inconclusion the amount that Adele pay last year was:£387.5.

Learn more about insurance here:https://brainly.com/question/25855858

Every non-zero complex number has three cube roots. In general, any non-integer exponent, like  

1

3

here, gives rise to multiple values. The way we find them is by multiplying  

z

by 1 before exponentiating. We write  

1

using Euler's Identity to the  

2

k

power for integer  

k

. That's

Answer: she needs to go 12 times

Step-by-step explanation:

Answer:

*12=3x+4m-3x2.......THE ANSWER IS 10

Step-by-step explanation:

divide 12 by 3

add that answer by 4

subract that by 3

then multiply it by 2

and it gives you... (10)

Your Welcome

Answer:

2

Step-by-step explanation:

quotient of two numbers means that you divide those two numbers.

Answer:

2. 29 divided by r

Step-by-step explanation:

this is division, so the key term divided by must come in.

Answer:

x=2

Step-by-step explanation:

divide -5 to both sides to isolate the x. two negatives make a positive therefore x=2.

i hope this helps :)

Answer:

2

Step-by-step explanation:

-10 divided by -5 is 2. Therefore, x=2.

Answer:

Hey the answer is = 24x

Step-by-step explanation:

An algebraic expression comprises both numbers and variables together with at least one arithmetic operation. To evaluate an algebraic expression you have to substitute each variable with a number and perform the operations included.

HOPE THIS HELPS!

The given numerical expression is simplified to 24.

PEMDAS is an acronym used to mention the order of operations to be followed while solving expressions having multiple operations. PEMDAS stands for P- Parentheses, E- Exponents, M- Multiplication, D- Division, A- Addition, and S- Subtraction.

The given numerical expression is (3+5)×(4-1).

Solve Parentheses first, that is

8×3

=24

Therefore, the given numerical expression is simplified to 24.

Learn more about the PEDMAS rule here:

https://brainly.com/question/24086845.

#SPJ2

Answer:

2 cm is were youll find the polygon at. it shouldnt be hard to see the area of were the polygon is

Answer:

208 cm²

Step-by-step explanation:

14 cm × 16 cm = 224 cm²

14 cm - 6 cm = 8 cm

8 cm × 2 cm = 16 cm²

224 cm² - 16 cm² = 208 cm²

Answer:

8 ft

Step-by-step explanation:

Set up a proportion: 10/16=5/x

Solve for x: 80=10x

x=8

Answer:

Can u take a better picture?

Answer:

a

Step-by-step explanation:

Bc i just did on edge

The pair of equations below is a result of constructing the altitude, h, in Triangle ABC is A; sin C = h/a and sin A = h/c.

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

We know:

[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}[/tex]

So from the attached figure;

sin C = h/a

sin A = h/c

These expressions have an h term in common. We can combine them if we can find forms of the expressions in terms;

h = a (sin C)

h = c (sin A)

Thus, option A is correct pair.

Learn more about trigonometric;

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Answer:

look at the picture i sent............

Answer:

y=1/2x²

Step-by-step explanation:

y=2x-²

y=1/2x²

The equation can be simplified to find the inverse of y = 2x² is y=1/2x², the correct option is B.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that;

Equation y = 2x²

Now,

To find the inverse of a function, you need to swap the x and y variables and solve for y. So, the equation that can be simplified to find the inverse of y = 2x² is x = 2y². You can simplify it by dividing both sides by 2 and taking the square root of both sides. The inverse function is y = ±√(x/2).

Therefore, by the equation the answer will be y=1/2x²

Learn more about equations here;

https://brainly.com/question/25180086

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Answer:

Step-by-step explanation:

Answer:

r = -0.13475

Step-by-step explanation:

Here, we want to select a value for a weak negative correlation

When a correlation is week, its value is usually less than -0.5

In this case, we have our correct answer as r = -0.13475