Which expression is equal to ....

Answer:

Nine

Step-by-step explanation:

3 dollars for children tickets : x

5 dollars for adult tickets: y

Equation is:

3x+5y=57

Where 57 is the total amount spent

x+y=15  

where 15 is the total number of tickets bought

3x+5y=57

5(x+y)=5(15)

___________________

3x+5y=57

5x+5y=75

minus the equations top to bottom=

-2x= -18

x= -18/(-2)

x=9

He bought a total of 9 children tickets

Answer:

the answer is 9 or D

Step-by-step explanat ion:

Answer:

(4, 0), (-4, 0), (0, -2), (0, 8)

Step-by-step explanation:

Answer:

  (0, -2), (4, 0), (0, 8), (-4, 0)

Step-by-step explanation:

The y-intercepts are found by solving for y when x=0.

  (y -3)² = 25

  y -3 = ±5 . . . . . take the square root

  y = 3 ± 5 = {-2, 8}

The x-intercepts are found by solving for x when y=0.

  x² +(0-3)² = 25

  x² = 16 . . . . . . . . subtract 9

  x = ±4 . . . . . . . . .take the square root

The y-intercepts are (0, -2) and (0, 8).

The x-intercepts are (-4, 0) and (4, 0).

Answer:

x = 4√3

y = 8√3

Step-by-step explanation:

This is a special 30° 60° 90° right triangle

In this special triangle if the side length that sees 30° is represented by x and the side length that sees 90° is represented by 2x and the side length that sees 60° x√3

Here, the side length that sees 60° is given as 12

12 = x√3 and x = 4√3 therefore y is 8√3

Answer:

6 units squared

Step-by-step explanation:

To solve this problem you can solve for the entire area of the square and subtract the area of the unfilled areas for the area of the shaded region..

Area of entire square is 4*4=16

Now for the sections that are unfilled:

4*3/2= 6

1*1/2= 0.5

2*1 = 2

1*1 = 0.5

2*1/2 = 1

Total area of Unfilled region = 6 + 0.5 + 2 + 0.5 +1 = 10

Area of filled region = 16 - 10 = 6 units squared

Hope this helped!

Answer:

A

Step-by-step explanation:

all sides of square is 90degrees

Since AC and BD is the same, when you join the lines together, it will definitely be a square

Hey there! I'm happy to help!

The IQR is how far apart the first and third quartiles are, which are the middle numbers of the first and second halves of a data set. Let's find some random numbers that are 17 apart. We will use 3 and 20.

Now, we have to create a data set where 3 is the middle number of the first half and 20 is the middle number of the second half. Let's have one with six numbers because that's a good amount I guess. Remember that the data has to be going from least to greatest.

In our first half we will have one number that is smaller than 3 and one bigger than three so that 3 is in the middle. Here's an example of what our first half should look like:

2,3,5

Now, for our second half, we need a number smaller than 20 and one greater than 20 so 20 is the the middle. Here's the second half I've made for you.

16,20,100

So, the data set I've created for you is 2,3,5,16,20,100. However, there are many other possibilities as you've seen.

My answers for your question 1 and 2 are in the explanation I've done, and here's the math that shows that the interquartile range is 17.

You split the data in half.

2,3,5,         16,20,100

Q1 is the middle number of the first, which is 3. Q3 is the middle of the second, which is 20.

You find how far apart they are by subtracting 3 from 20.

20-3=17.

The IQR is 17.

Have a wonderful day! :D

Answer:

1

1=1 1<12 1=1 1<4 1<14

12

12=12 12>1  12>1 12>4 12<14

1

1=1 1<12 1=1 1<4 1<14

4

4=4 4>1 4<12 4>1 4<14

14

14=14 14>1 14>12 14>1 14>4

Answer:

Draw a straight line through these two points (0, 0) and (1, 3).

Step-by-step explanation:

"Proportional relationship" implies line or curve that goes through the origin; there is no "y-intercept" in this case.  

Plot a dot at (0, 0).  Next, move your pencil point 1 unit to the right (you'll end up at (1, 0), and then move it from there up to (1, 3).  Draw a straight line through these two points (0, 0) and (1, 3).

Answer:

The unit rate of change of d with respect to t is 4/3.

The graph should be: (0,0) and (3/4).

Step-by-step explanation:

I got it wrong on khan academy :/

so i went over here and answer it

Explanation:

The area of a semicircle is given by ...

  A = πr^2/2

where r is the radius. Here, we're given diameters, so in terms of diameter, the area of a semicircle is ...

  A = π(d/2)^2/2 = (π/8)d^2

__

The area of the semicircle with diameter AC is ...

 white area = (π/8)AC^2

The area of the semicircle with diameter BC is ...

  left semicircle area = (π/8)BC^2

And the area of the semicircle with diameter AB is ...

  right semicircle area = (π/8)AB^2

__

We can use the relationship between the areas to find the shaded area:

  triangle area + left semicircle area + right semicircle area =

     white area + shaded area

Then the shaded area is ...

  shaded area = triangle area + left semicircle area + ...

     right semicircle area - white  area

__

Filling in the values for area from above, we have ...

  shaded area = triangle area+ (π/8)BC^2 +(π/8)AB^2 -(π/8)AC^2

  shaded area = triangle area + (π/8)(BC^2 +AB^2 -AC^2)

From the Pythagorean theorem, we know that ...

  AC^2 = BC^2 +AB^2

Substituting this into the above equation gives ...

  shaded area = triangle area + (π/8)((Bc^2 +AB^2 -(BC^2 +AB^2))

  shaded area = triangle area + 0 . . . . simplify

  shaded area = triangle area

Answer:

x=25°

Step-by-step explanation:

sin (x+22)=cos(2x-7)=sin (90-(2x-7))

x+22=90-(2x-7)

x+22=90-2x+7

x+2x=97-22

3x=75

x=75/3=25°

Answer:

x = 25

Step-by-step explanation:

Recall the trig identity sin(x) = cos(90 - x)

In other words, sin(x + 22) = cos(90 -(x+22)) = cos(68 - x)

Now, set them equal to each other:

cos(68 - x) = cos(2x - 7)

We can ignore the cosine:

68 - x = 2x - 7

3x = 75

x = 25

Answer:

f(6) = 24

Step-by-step explanation:

Simply plug the value of 6 into the equation for x.

f(x) = x^2 - 2x

f(6) = (6)^2 - 2(6)

f(6) = 36 - 12

f(6) = 24

Answer: 24

Step-by-step explanation: you can say that 6=x Wichita in this case we would substitute x for 6

6²-2*6=36-12=24

Hope this helps!

Answer:

242,000 is the present value of the house.

Step-by-step explanation:

Answer:

242,000 represents the value of the house

Step-by-step explanation:

Answer:

Mean = 30.3

Median = 30

They scored 30 or more points on 11 games.

Step-by-step explanation:

Mean = all the numbers added together divided by 21

636/21 = 30.3

Median is the middle number (the 11th) = 30

Answer:

    3 > x

Step-by-step explanation:

–2(5 – 4x) < 6x – 4

Step 1: –10 + 8x < 6x – 4

Step 2: –10 < –2x – 4

Step 3: –6 < –2x

Step 4: divide each side by by -2, remembering to flip the inequality

   -6/-2 > -2/-2

    3 > x

Answer:

x < 3

Step-by-step explanation:

−2(5−4x)<6x−4

Use the distributive property to multiply −2 by 5−4x.

−10+8x<6x−4

Subtract 6x from both sides.

−10+8x−6x<−4

Combine 8x and −6x to get 2x.

−10+2x<−4

Add 10 to both sides.

2x<−4+10

Add −4 and 10 to get 6.

2x<6

Divide both sides by 2. Since 2 is >0, the inequality direction remains the same.

x= 6/2

Divide 6 by 2 to get 3.

x= 3

X< 3

Mark me as brainliest

Answer: Choice A

Step-by-step explanation:

She can only buy 3 pizzas. 14 times 3 is 42. 42 plus 7.50 is 49.50. Another 14 dollars would be over. So 24 SLICES she can afford.

Here, we are required to identify the inequality that describes Jacque's pizza purchase scenario and also the largest number of slices that Jacque can afford

Choice 1 which is ;

Choice 1 which is ;7.50 + 14 P < 60Jacque can afford to buy 30slices of pizza

First,

The inequality which describes the scenario is :

Choice 1 which is ;

And to determine the largest number of slices that Jacque can afford, we have to solve for P first.

However, the question requires that we determine how many slices she can afford to buy,

Jacque can afford to buy 3.75 × 8 slices of pizza.

Jacque can afford to buy 30slices of pizza

Read more:

https://brainly.com/question/19003099

Answer:

[tex]\boxed{3.464}[/tex]

Step-by-step explanation:

Calculate the square root.

[tex]\sqrt{12} = 3.46410161514[/tex]

Approximate the value.

[tex]\sqrt{12} \approx 3.464[/tex]

Answer:

d

Step-by-step explanation:

to find the square root of a # see how many times a # can go into the root, find the # with the greatest value

Answer:

y = 3/8x - 9 + 4/5

Step-by-step explanation:

assuming y = 3/4 (1/2x-12)+4/5

multiply 3/4 and (1/2x - 12)

y = 3/8x - 9 + 4/5

Answer:

Step-by-step explanation:

The LCD here is 120.  Multiplying both terms by 120 and then dividing the result by 120 yields

90(1/2x - 12) + 96           45x - 1080 + 96               45x - 984

-------------------------- = -------------------------------  =  ----------------------

         120                                 120                                 120

Answer:

(3,0)

Step-by-step explanation:

The graph is a line so it will have an equation with this form:

y = mx+b

m is the slope and b is the y-intercept.

Let's calculate m:

● m = (-32-(-64))/(-9-(-21)) = 8/3

Now replace m with its value and x,y with coordinates of a point.

● -32 = (8/3)*(-9) +b

● -32 = -24 +b

● -32+24 = b

● -8 =b

Solve y = 0

●(8/3)*x+b = 0

● (8/3) *x = 8

● x = 3

The coordinates of the x-intercept are (3,0)

Reflecting the graph of y = cos(x) is across the x-axis is the same as taking y = -cos(x). Reflecting across the y-axis is the same as taking cos(-x). However, cos(-x) is actually equal to cos(x), not -cos(x), so these two are not equivalent (diagram attached).

I have also attached a graph of these functions. The green line is the reflection over the y-axis, which is the same as the original function. The blue line is the reflection over the x-axis.

Answer:

Step-by-step explanation:

1.

[tex]2x + 8x - 10 + 6[/tex]

Collect like terms

[tex] = 10x - 10 + 6[/tex]

Calculate the sum

[tex] = 10x - 4[/tex]

Factor out 2 from the expression

[tex] = 2(5x - 2)[/tex]

2.

[tex]3(x + 7)[/tex]

Multiply each term in the parentheses by 3

[tex] = 3x + 3 \times 7[/tex]

Multiply the numbers

[tex] = 3x + 21[/tex]

3.

[tex](x + 2)(x - 3)[/tex]

Multiply each term in the first parentheses by each term in the second parentheses ( FOIL )

[tex] = x(x - 3) + 2(x - 3)[/tex]

Calculate the product

[tex] = {x}^{2} - 3x + 2x - 2 \times 3[/tex]

Multiply the numbers

[tex] = {x}^{2} - 3x + 2x - 6[/tex]

Collect like terms

[tex] = {x}^{2} - x - 6[/tex]

Hope this helps..

best regards!!

Answer:  ln5 - ln2 ≈ 0.919

Step-by-step explanation:

[tex]\int\limits^2_1 {\dfrac{2x}{x^2+1}} \, dx\qquad \qquad =\int\limits^2_1 {(x^2+1)^{-1}} \, 2xdx[/tex]

Let u = x² + 1    →    du = 2x

[tex]\text{Then we have:}\quad \int\limits^2_1 {u^{-1}} \, du \qquad =ln|u|\bigg|^2_1[/tex]

Substitute u = x² + 1

[tex]ln|x^2+1|\bigg|^2_1\quad =ln|2^2+1|-ln|1^2+1|\quad = ln|5|-ln|2|[/tex]

Answer:

Option A)     [tex]\angle F\\[/tex] congruent with  [tex]\angle Q[/tex]

Step-by-step explanation:

There is only information about two sides in each triangle, so there is still the need of a third piece of info which can come from an angle like [tex]\angle F\\[/tex] congruent with  [tex]\angle Q[/tex], which are angles opposite to one of the given sides on each triangle.

Answer:

the 2 equations are on top of each other, they are the same line

which means it is consistent, dependent, infinite

Step-by-step explanation:

the second equation is just 4 times the first equations.

Answer: c ax + b = ax+ b

Step-by-step explanation: Seems like a trick question, especially since Answer c has no c in the equation. But once you put in numbers for a,b,and c, there cannot be infinite solutions for x in the first two examples.

Set up two or three equations and test them as proof.

Answer:

x = $36 , y = $ 838

Step-by-step explanation:

Solution:-

The company makes a profit of $y by selling widgets at a price of $x. The profit model is represented by a parabola ( quadratic ) equation as follows:

                       [tex]y = -x^2 + 72x -458[/tex]

We are to determine the profit maximizing selling price ( x ) and the corresponding maximum profit ( y ).

From the properties of a parabola equation of the form:

                      [tex]y = ax^2 + bx + c[/tex]

The vertex ( turning point ) or maximum/minimum point is given as:

                     [tex]x = -\frac{b}{2a} \\\\x = -\frac{72}{-2} = 36[/tex]

The profit maximizing selling price of widgets would be x = $36. To determine the corresponding profit ( y ) we will plug in x = 36 in the given quadratic model as follows:

                    [tex]y ( 36 ) = - ( 36 )^2 + 72 ( 36 ) - 458\\\\y ( 36 ) = -1296 + 2592 - 458\\\\y ( 36 ) = 838[/tex]

The maximum profit would be y = $838

Answer:

3

Step-by-step explanation:

Plug in 2 for x:

5-2 - 3

Answer:

3

Step-by-step explanation:

f(x)= 5 - x

f(2) = 5 - 2 = 3

Answer:

8,12,16

Step-by-step explanation:

if the pattern is increasing by four's then the next three numbers would be

8,12,16

Answer:

3x^3/x = 3x^(3-1) = 3x^2

6x*y = 6xy

x^2y *y =  x^2y^(1+1) = x^2y^2

4y*y = 4y^2

Step-by-step explanation:

This can be solved using law of Indices.

The expression 3x^3 should be 3x^2.

Here power of x is three while in output power of x is two hence we need to eliminate power of x by one for that we divide 3x^3 by x

Rule: x^a/x^b = x^(a-b)

3x^3/x = 3x^(3-1) = 3x^2 (answer)

_________________________________

The expression 6x should be 6xy.

here term y is missing hence we multiply 6x with y

rule: a*b = ab

6x*y = 6xy  (answer)

_________________________________________________

The expression x^2y should be x^2y^2

Here we need power of y as 2, to do that we multiply  x^2y by y.

Rule

x^2*x^b  = x(a+b)

x^2y *y =  x^2y^(1+1) = x^2y^2  (answer)

_____________________________________________

The expression 4y should be 4y^2\

Here we need power of y as 2, to do that we multiply 4y by y.

Rule

x^2*x^b  = x(a+b)

4y*y = 4y^2   (answer)

Answer:

b:  the expression 6x should be 6xy

Step-by-step explanation:

i just did on edgen 2020