Meghan sells advertisements for a radio station. Each 30 second ad costs $20 per play, and each 60 second ad
costs $35 per play. Meghan sold 12 ads for $315. She wrote the system below letting x represent the number of 30
second ads and y represent the number of 60 second ads.
X+ y = 12
20x+35y = 315
What is the solution to the system of equations?

Need answers ASAP!!!!

Answer:

12+12+10+10=44

104-44=60

60÷2=30

30 is the surface area of A

30÷6=5

5 is a missing dimention

Answer:

#6 is D

#7 is A

Step-by-step explanation:

#6

-1/3(6x+15)-3

Distribute the -1/3

-1/3 times 6x is -2x

-1/3 times 15 is -5

-2x-5-3

-2x=8

#7

-12z-5z=85

COmbine like terms

-17z=85

Divide both sides by -17

z=-5

This shape consists of two primary special triangles, 30-60-90 and 45-45-90.

the side with the 60° will be half of the hypotenuse because 30° is across from it.

the side with the 30° will be 5.5√3 because 60° is across from it, and any sides that has 60° across from it is associated with a √3.

x is 5.5√6 because any sides that is "below" the 45° angles are associated with a √2 times the side that's above the 45°

Answer:

rational number

Step-by-step explanation:

multiplying two rationals is the same as

multiplying two such fractions, which will

result in another fraction of this same form

since integers are closed under

multiplication. Thus, multiplying two rational numbers produces another rational number.

"The product of two rational number is rational" So, multiplying two rationals is the same as multiplying two such fractions, which will result in another fraction of this same form since integers are closed under multiplication.Sep 5, 2020

Answer:

7≤r≤12

Step-by-step explanation:

The domain is the values that the input takes

The input goes from 7 to 12

7≤r≤12

Answer: Choice B) [tex]7 \le r \le 12[/tex]

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

Explanation:

The domain is the set of allowed x inputs of a function.

How far to the left can we go on this red line? That would be x = 7.

How far to the right? That would be x = 12.

We can have x equal anything between 7 and 12, including both endpoints. We include the endpoints because they are filled in circles (as opposed to open holes).

So the domain is [tex]7 \le x \le 12[/tex]. If we replace x with r, then we update that inequality into [tex]7 \le r \le 12[/tex]. This replacement happens because r is along the horizontal x axis.

Answer: r = 50 miles/h

Step-by-step explanation:

Let r be the rate of average speed.

Then

r = D/t

r = 150/3

r = 50 miles/h

please click thanks and mark brainliest if you like :)

Answer:

18c^3d^9

Step-by-step explanation:

2c^3 d^2 * 9d^7

We know that  we add the exponents when the base is the same

2*9  c^3 d^(2+7)

18c^3d^9

Answer:

.

Step-by-step explanation:

To solve this question, we need to understand sample and population concepts.

From this, the answer is:

The 25 females that Julie interviews are the sample, and all female college students at state universities are the population.

Example:

I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So i ask, lets say, 1000 randomly selected New York state residents whether they are Buffalo Bills fans, and expand this to the entire population of New York State residents, which is the population of the study.

The sample will be: 1000 randomly selected New York state residents

The population will be: All New York state residents

In this question:

Sample: 25 females from each university in her state.

Population: All female college students in her student.

Thus, the correct statement is:

The 25 females that Julie interviews are the sample, and all female college students at state universities are the population.

For a similar example, you can check https://brainly.com/question/24331410

Answer:

7^5=16,807 and 4^5=1,024

The value of x in the figure is 125°

 And the right option is (D) 125°

To solve the problem, we use the formular for the sum of the interior angle of a polygon.

(n-2)180°

         [tex](5-2)180 = 540[/tex]

     ∠P+∠T+∠R+∠Q+∠S = 540°

       [tex]35+200+x+90+90 = 540[/tex]

        [tex]415+x = 540[/tex]

         [tex]x = 540-415[/tex]

         [tex]x = 125[/tex]

Hence the value of x in the figure is 125°

And the right option is (D) 125°

Learn more about polygons here: https://brainly.com/question/17042929

Answer:

a<5

Step-by-step explanation:

11-2a>1

-2a>1-11

-2a>-10

a<5

Answer:

A) area decreases

Step-by-step explanation:

Example: we have a 2 by 3 rectangle with area of 2*3 = 6. If we cut the first dimension in half, then we have a 1 by 3 rectangle that has area 1*3 = 3. The area has decreased. To keep the area the same, we would have to increase the other dimension some specific amount.

HOPE THIS HELPS

HAVE A GOOD DAY :)

ITS RASPUTIN002

Answer:

[tex](a)\ V = \{(N,30),(R,37),(S,17)\}[/tex]

[tex](b)[/tex]

[tex]Domain = \{N,R,S\}[/tex]

[tex]Range = \{37,30,17\}[/tex]

Step-by-step explanation:

Given

[tex]V(R) = 37,\ V(N) = 30,\ V(S) = 17[/tex]

Solving (a): Set of ordered pair

A function y = f(x) is represented as (x,y)

So, the ordered pair of V is:

[tex]V = \{(R,37),(N,30),(S,17)\}[/tex]

Order the alphabets in increasing order

[tex]V = \{(N,30),(R,37),(S,17)\}[/tex]

Solving (b): The domain and the range

In a function [tex]\{(x_1,y_1),...,(x_n,y_n)\}[/tex]

The domain and the range are represented as:

[tex]Domain = \{x_1,x_2....x_n\}[/tex]

[tex]Range = \{y_1,y_2....y_n\}[/tex]

So, we have:

[tex]Domain = \{N,R,S\}[/tex]

[tex]Range = \{37,30,17\}[/tex]

Answer and Step-by-step explanation:

First, we need to set this equation equal to y, which means we need to get y by itself, and all other terms equal to y.

x = [tex]2y^2 + 1[/tex]

Subtract 1, then divide by 2 on both sides.

[tex]x - 1 = 2y^2\\\\\frac{x-1}{2} = y^2[/tex]

Now, take the square root of both sides.

[tex]y=\sqrt{\frac{x-1}{2}}[/tex]

We see that the value with the x (1) is positive, and that we have a square root function, which means the parabola would open to the right.

(If the x value was negative, the square root function's parabola would open to the left)

So, C (Right) is the correct answer.

#teamtrees #PAW (Plant And Water)

I hope this helps!

Answer:

Two numbers differ by 9 and the sum of their square is 653. What are the numbers?

Well,that's a mathematical question from algebra and it's quite difficult to answer such questions by writing through the circumstances offered by apps like quora.

However,I have tried to answer your question in an understandable way.Hope you may not find it difficult to analyze.

Let the numbers be x and (9+x)

Therefore,according to given,

x^2 + (9+x)^2 =653

=>x^2 + (9)^2 + x^2 + 2×(9)×(x)=653 (Applying the formula of (a+b)^2)

=>x^2 + 81 + x^2 + 18x =653

=>2x^2 + 18x + (81-653)=0

=>2x^2 + 18x - 572=0

=>2x^2 + (44x - 26x) - 572=0

=>2x^2 + 44x - 26x - 572=0

=>2x(x + 22) - 26(x + 22)=0

=>(x + 22)(2x - 26)=0

But since the number can't be negative

Therefore, x=13

Hence,the required numbers are 13 and 22.

Step-by-step explanation:

in first hope you like it

Answer:

A. yes

Step-by-step explanation:

Answer: Choice B) 50 square units

Work Shown:

A = h*(b1+b2)/2

A = 5*(12+8)/2

A = 5*(20)/2

A = 100/2

A = 50 square units (choice B)

Notice how the b1 and b2 are the parallel bases, while the height h = 5 is perpendicular to both of these bases.

The area of Trapezium ABCD is 50 square unit.

The formula to calculate the area of trapezium is:

Area = ½ x Sum of parallel sides x Distance between the parallel sides

Given:

base 1= 8 , base 2 = 12 unit

height= 5 unit

so, the area of Trapezium

= 1/2 ( base 1 + base 2) /2

= 1/2 (8 + 12) x5

= 1/2 x 20 x 5

= 10 x 5

= 50 square unit.

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Answer:

y2-y1/x2-x1

y2: 1050

y1:600

x2:75

x1:30

1050-600=450

75-30=45

450/45=10

slope is 10

Answer:

let:

A(30, 600)=(x1,y1)

B((75, 1050)=(x2,y2)

now,

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

[tex] = \frac{1050 - 600}{75 - 30} [/tex]

[tex] = \frac{450}{ 45} [/tex]

[tex] = \frac{10}{1} [/tex]

Answer:

The missing segment length is 20.

Step-by-step explanation:

2 is multiplied by 4 to get to 8, so 5 must be multiplied by 4 to get to 20.

Answer:

45- s= 21

s= 45- 21

=24

so the answer is 24

Step-by-step explanation:

the average change rate is the change of the functional values from the beginning to the end of the interval, and then that divided by the length of the interval.

like with every average or mean value calculation.

g(-4) = 2×(-4)³ - 5 = -128 - 5 = -133

g(2) = 2×2³ - 5 = 16 - 5 = 11

so, on an interval of x values of 2- -4 = 6 units the function changes its values by 11 - -133 = 144 units.

the average charge rate for this x interval is therefore

144 / 6 = 24 = 24/1

for 1 unit change of x, g(x) changes in the average by 24 units.

Answer:

-6 + 14

8

Step-by-step explanation:

Given: Hank is -6 below feet. He rises +14 feet above level.

-6 + 14 = 8

Addition expression: -6 + 14

Sum: 8

Hope this helped.

Answer:

a) 120

b) 6

c) 1/20

Step-by-step explanation:

a) 5! = 120

b) (5 - 2)! = 6

c) 6/120 = 1/20

Answer:

90 i think

Step-by-step explanation:

The telescope shape and the characteristic equations of the telescope parameters are the same as parabolic equations

The distance between the focus and the vertex, of the parabola is 3.375 meters

The process for obtain the above values is as follows:

The known parameters of the parabola are;

The location of the vertex of the parabola= The origin = (0, 0)

The height of the parabola = 9 meters

The width of the parabola = 12 meters

The unknown parameter;

The distance between the focus and the vertex

Method:

Finding the coordinate of the focus from the general equations of the the parameters of a parabola

The equation of the parabola in standard form is y = a·(x - h)² + k

From which we have;

(x - h)² = 4·p·(y - k)

The coordinates of the focus, f = (h, k + p)

Where;

(h, k) = The coordinates of the vertex of the parabola = (0, 0)

∴ a = 1/(4·p)

From the question, we have the following two points on the parabola,

given that the parabola is 12 meters wide at 9 meters above the origin and

it is symmetric about the y-axis;

Points on the parabola = (9, 6), and (9, -6)

Plugging in the values of the vertex, (h, k) and the two known points, in the equation, y = a·(x - h)² + k, we get;

6 = a·(9 - 0)² + 0 = 81·a

a = 6/81 = 2/27

p = 1/(4·a)

∴ p = 1/(4 × 2/27) = 27/8

The coordinate of the focus, f =  (h, k + p)

∴ f = (0, 0 + 27/8) = (0, 27/8)

The coordinate of the focus f = (0, 27/8)

Given the vertex and the focus of the parabola have the same x-values of 0, we have;

The distance between the focus and the vertex, d = the difference in their y-values;

∴ d = 27/8 - 0 = 27/8 = 3.375

The distance between the focus and the vertex, d = 3.375 meters

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