3. What should be done first to simplify: 16 - 8 • 4 8.2

Answer:

take math class and watch stuff on kai academy

Answer:

use maths watch and get smart

Explanation

Step 1

Let x represents the cost for the students ticket

Let y represents the cost for the adult ticket

1)A group of 4 students went to the movie theater. They each bought a ticket for $x and spent $10.50 each on snacks

then

2)A group of 3 adults went to the movie theater and paid twice as much for each of their tickets as each student. The group of adults also spent $10.00 each on snacks

SOLUTION:

Step 1:

In this question, we have the following:

The length between the bases on a baseball field is 90ft.

A scale drawing shows the distance between the bases is 2 1/2 inches.

One inch on this drawing equals how many ft?

Step 2:

Cross-multiply, we have that:

CONCLUSION:

One inch on this drawing equals 36 feet

PLUG 5 IN THE PLACE OF Y AND SOLVE FOR X

[tex]2x - 4(5) = - 10 \\ 2x - 20 = - 10 \\ 2x = - 10 + 20 \\ 2x = 10 \\ \frac{2x}{2} = \frac{10}{2} \\ x = 5[/tex]

SINCE WE FOUND THAT x=5

we have the pair

(5,5)

Answer: 6 a: 1=30 2=44, 3=106 4=30

Step-by-step explanation:

well, 3 is the opposite of 106 so they are equal, 2 is the opposite of 44 so they are equal, then you can just take the straight line and subtract the ones around it from 180 to find the 1 or 4, so 180-106, then 74-44=30. then because 1 and 4 are on opposite sides, they are equal. Sorry for not having enough times for all problems, but to help with 6 and 7, just remember that opposites are equal (you can use in 6b and 7a) and the if they make a straight line they make 180 degrees (use in 7b)

8x² + 4x - 112 = 0

To solve this equation, we can use the quadratic formula, as follows:

1. Two-way frequency table

entries in the body of a two-way frequency table

2. Categorical variable

variables that take on values that are names or labels. The color of a ball, gender, or year in school (freshman, sophomore, junior, senior) are examples of categorical variables

3. Marginal frequencies

entries in the TOTAL row and TOTAL column of a two-way frequency table

4. Joint frequencies

a useful tool for examining relationships between categorical variables​

As per the unitary method, the expected value of this raffle if you buy 1 ticket is $ 0.25.

Unitary method:

Basically, the word unitary refers to a single or an individual unit.

Therefore, this method aims at determining values in relation to a single unit.

Given,

Here we have that five thousand tickets are sold at $ 1 each for a charity raffle, and tickets are to be drawn at random and monetary prizes awarded as follows:

1 prize of $ 500,

3 prizes of $ 200,

5 prizes of $ 10, and

20 prizes of $ 5,

And here we need to determine what is the expected value of this raffle if you buy 1 ticket.

As per the given details, let us consider X be the expected value then we have written it as the equation like the following,

(500 + 3 x 200 + 5 x 10 + 20 x 5) / 5000 = X

When we simplify it then we get,

(500 + 600 + 50 + 100) / 5000 = X

After the addition operation we get the value,

1250/5000 = X

Then the value of X can be written as,

0.25 = X

Therefore, the expected value of this raffle per ticket is $ 0.25.

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Answer:

The second and the third one

Step-by-step explanation:

4x^2 + 12x + 9 = (2x + 3)^2

x^2 + 20x + 100 = (x + 10)^2

Answer:

∠ QOR = 35°

Step-by-step explanation:

from the diagram

∠ POQ + ∠ QOR = ∠ POR , that is

24° + ∠ QOR = 59° ( subtract 24° from both sides )

∠ QOR = 35°

Answer:

600 miles

Step-by-step explanation:

295$ - 175$ = 120$. 120$ divided by 20 cents equals 600.

felicia borrowed $12,000 from her bank at a monthly interest rate of 5%. if she paid back the loan after 3 months, how much interest is she going to pay? how much money will she pay back to her bank?​

we have that

the interest for each month is

0.05*12,000=$600

after 3 months

total interest is 3*$600=$1,800

she going to pay $1,800

Part b

12,000-1,800=$10,200

The co-ordinates of the point at which the gradient of the curve y = 3x² is 18 are (3, 27).

Here we are given the equation of a curve as-  y = 3x²

The gradient of a curve can be found out by differentiating it with respect to the independent variable. Thus, the gradient here will be dy/dx.

dy/dx = 6x

Thus the gradient of the curve is 6x.

Further, we are given that the gradient value is 18. thus, the value of x at gradient = 18 will be-

6x = 18

x = 18/6

x = 3

Substituting this in the equation of the curve, we can find the value of y as follows-

y = 3*3²

y = 3*9

y = 27

Thus, the co-ordinates of the point at which the gradient of the curve y = 3x² is 18 are (3, 27).

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the given point is A(3,5)

when we rotate a point (x,y) around origin counterclockwise then its coordinates becomes (y,-x)

so point A(3,5) will be changed into A'(5,-3).

so new coordinate of the point will be A'(5,-3)

Answer:

At the movie premiere, adult moviegoers enjoyed the movie more because only 25% did not like the movie whereas 68% of the teenager moviegoers did not like the movie. ​

First, let us get the percentage of adults that liked the movie.

It is said that 15 out of 20 adults liked the movie. We can get the percentage by dividing the number of adults who liked the movie by the total number of adults.

We will then find out the percentage of adults and teenagers that did not like the movie by subtracting the percentage that liked the movie from 100%

Adults who did not like the movie:

Teenagers who did not like the movie:

Here, we can conclude that:

At the movie premiere, adult moviegoers enjoyed the movie more because only 25% did not like the movie whereas 68% of the teenager moviegoers did not like the movie. ​

it is given that gracias travels 30 miles with speed of 30 miles per hour in a hour,

so (1 , 30)

the x cordinate is representing the time and y cordinate is representing the distance

so all the coordinates will be

(2, 60) & (3, 90) & (4, 120) & (5, 150)

mark these point on the graph

then draw the line that will meet these point.

The function g(x) whose graph represents the indicated transformation of the graph of the equation f(x) = x+2 translated 2 units to the right is g(x) = x

Here the function is

f(x) = x+2

It is translated 2 units to the right

A translation defined as the movement of the graph either horizontally  or vertically. In translation the shape or the size of the graph will not change only the location of the graph changes

Then the equation will be

f(x-2) = (x-2)+2

= x-2+2

= x

Hence, the function g(x) whose graph represents the indicated transformation of the graph of the equation f(x) = x+2 translated 2 units to the right is g(x) = x

The complete question is

Write a function g(x) whose graph represents the indicated transformation of the graph of f the equation f(x)=x+2 translated 2 units to the right.

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1.

9 (3+2)

We have to distribute number 9 in the parenthesis, multiply each term in the parenthesis by 9:

9(3)+9(2)

27+18

45

2.

11(4-1)

11(4)+11(-1)=44-11=33

3.

12(7+7)

12(7)+12(7)

84+84

168

4.

5 (4+8)

5(4)+5(8)

20+40

60

5.

10(9-5)

90-50

40

In the given right triangle

Applying the Pythagorean Theorem

Solve for b

Since the function is concave up, the leading coefficient a must be positive.

Then: The sing of a is positive

The function is expressed in its canonical form, where h and k are the x and y coordinates of the vertex, respectively.

We can check in the graph that the vertex coordinates are (-5,-4).

Therefore, we have:

The value of h is given by h = -5

The value of k is given by k = -4

Definitions:

Perpendicular bisector: A line that bisects (split into two equal parts) a line segment at a right angle (90°)

Angle bisector: A line that bisects a angle.

Median of a triangle: Line segment drawn from a vertex to the middpoint of the opposite side to the vertex.

Altitude of a triangle: Perpendicular segment form a vertex of a triangle to the opposite side.

a) With the given information you can describe FI as:

Line segment drawn from a vertex (F) to the middpoint of the opposite side to the vertex (GH). The two marks in red indicates that the segments have the same measure (then the point I is the middpoint of the side GH.

Theres is not indication of a perpendicular angle, or a bisection of the angle. Then you can not describe FI as any of the other options.

The expression in the image is:

a*(a + b + b) = a² + 2ab

So the correct option is the bottom left one.

The diagram is a rectangle that can be divided into smaller rectangles. We know that the area of the large rectangle will be equal to the sum of the areas of the smaller rectangles, then we can write:

area of the larger rectangle = a*(a + b + b)

While the addition of the areas of the smaller figures gives:

sum of areas: a² + a*b + a*b = a² + 2ab

Then the expression in the image is:

a*(a + b + b) = a² + 2ab

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the compound interest formula is given by

where A is the amount you will have, P is the principal, r is the annual interest rate, n is the amount of times the interest is compounded per time period, and t is the amount of time.

In our case, we need to find the time t. Then, by moving the Principal to the left hand side, we get

By applying natural logarithm on both sides, we get

now, we can isolate t as

Now, we can substitute our given values into this expression. It yields,

which gives

then, the time (in years) is

Now, we must convert this result in months. Since 1 year has 12 months, we have

that is, the answer is 10.56 months

GIven a quadratic equation in standard form, we have

c represents the coefficient of the constant in the quadratic equation.

Given the equation 2m² + m +3 = 0

Answers

$3.82

Explanation

If Gregory had $7.32 he put $3.50 in the bank, the the amount left to spend is ($7.32 - $3.50) = $3.82

First let's draw the square ABCD:

The point is interior to the square, and also is equidistant from the sides AB and BC.

Drawing all the points that follow these rules in green, we have:

So this loci is represented by the diagonal BD of the square. All the points of this diagonal are equidistant to the sides AB and BC.

To determine the center of the circle;

x² + y² - 14x - 10 y - 26 = 0

we have to make the above equation to be in the form;

(x-a)² + (x-b)² = r²

where (a,b) is the center of the circle and r is the radius of the circle

x² + y² - 14x - 10 y - 26 = 0

add 26 to both-side of the equation

x² + y² - 14x - 10 y - 26 + 26 = 0 + 26

x² + y² - 14x - 10 y = 26

x² - 14x +y² - 10y = 26

add square of half of each coefficient

x² - 14x + (-7)² + y² -10y + (-5)² = 26 + (-7)² + (-5)²

(x -7)² + (y-5)² =

(

We are given the following expression:

We will associate the terms that have common factors, like this:

Now we take the common factor for each of the parenthesis:

Since each parenthesis has a common factor but with inverted signs, we will take -1 as a common factor in the second parenthesis, we get:

Now we can take "y-r" as a common factor for the entire expression:

And thus we have factored the expression.

Given the expression:

to find the angle, we use the invers sine function to get x:

therefore, the angle x = 20.92°