10.
The school auditorium can seat 200 people. The middle school was putting up a school play
on two different days. On the first day, people sat in 70% of the seats. On the second day,
people sat in 81% of the seats. What was the total number of people for both days?

answer:

$47.92

explanation:

$3.88 × 16=$62.08

$110-$62.08=$47.92

the 16 is the days

110is the budget

3.88 is the cost

hope that helps

The total money Helen have left after 16 days will be $47.92

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Given that Helen budgets for coffee from the coffee bar located in the lobby of her apartment building was  $110. And she stops by the bar every morning and her average order costs $3.88.

The budget = 110 dollars

The average cost = 3.88 dollars

Then the average order costs for 16 days;

$3.88 × 16 = $62.08

Therefore, the money she have left after 16 days;

$110-$62.08=$47.92

Hence, The total money she have left after 16 days will be $47.92

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ2

Answer:

Tavian is correct.

Step-by-step explanation:

If you solve the systems of equations, y=0 and x=7, so the solution is (7, 0).

Observe the abscicca and ordinates

*Note that:- y-coordinate is ordinate and x-coordinate is abscicca.

Observe the graph and mark the point where function meets y-axis

*Note that:- The point of the graph where the function meets y-axis is called y-intercept.

[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]

Thus, Option C is the correct choice!!~

Answer:

√12

Step-by-step explanation:

Use the Phythagorean Theorem.

2² + b² = 4²

= 4 + b² = 16

 -4            -4

= b² = 12

√12

Answer:

[tex]\sqrt{12}[/tex] or [tex]2\sqrt{3}[/tex] (simplified)

Step-by-step explanation:

Pythagorean theorem is

α²+b²=c²

a is the leg, which is 2 in this triangle

b is the base, which x in this triangle

c is the hypotenuse, which is 4 in this triangle

So, we can plug in the values:

2²+x²=4²

4+x²=16

-4       -4

x²=12

x=[tex]\sqrt{12}[/tex], or if simplified: [tex]2\sqrt{3}[/tex]

Hope this helps!

Answer: he can have 45 plants

Answer:

[tex]\dfrac{19}{25}[/tex]

Step-by-step explanation:

[tex]\left(\dfrac{4}{10}+\dfrac{6}{10}\right)-\left(\dfrac{4}{10} \times \dfrac{6}{10}\right)[/tex]

[tex]=\left(\dfrac{10}{10}\right)-\left(\dfrac{24}{100} \right)[/tex]

[tex]=\left(\dfrac{100}{100}\right)-\left(\dfrac{24}{100} \right)[/tex]

[tex]=\dfrac{76}{100}[/tex]

[tex]=\dfrac{19}{25}[/tex]

Solution:

Note that:

Simplify the expression:

Simplify the fraction:

19/25 is the difference.

Hello.

Remember, equivalent means equal.

Let's simplify the expression.

First, let's use the Distributive Property, which states

[tex]\hookrightarrow[/tex] [tex]\mathrm{a(b+c)=ab+ac}[/tex]

Use it:

[tex]\hookrightarrow\mathrm{-4+8(7+x)}[/tex]

[tex]\hookrightarrow[/tex] [tex]\mathrm{-4+56+8x}[/tex]

[tex]\hookrightarrow\mathrm{52+8x}[/tex]

Therefore, the answer is

[tex]\mathrm{52+8x}[/tex]

I hope this helps you.

Have a nice day.

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

Answer:

1.)  12

2.)  36

3.)  36

4.)  36

5.)  72

6.)  72

7.)  120

8.)  30

Step-by-step explanation:

You're welcome make me brainliest :)

Answer: LCM=least common multiple so

Step-by-step explanation: 1)12

2)18 3)36 4)36     5)72    6)72    7)120    8)30

Answer:

length= 12cm

perimeter= 40cm

Step-by-step explanation:

[tex]area = {96 \: cm}^{2} \\ breadth = \: 8cm \\ therefore = \: length \: \\ = 96 \div 8 \: = 12cm[/tex]

perimeter= (length+breadth)2

length= 12cm

breadth= 8cm

perimeter = (12+8)2

20×2= 40

Answer:

[tex]\sec(\theta)[/tex]

Step-by-step explanation:

[tex]\csc(\theta)=\dfrac{1}{\sin(\theta)}\\\\\\\tan(\theta)=\dfrac{\sin(\theta)}{\cos(\theta)}\\[/tex]

Therefore,

[tex]\csc(\theta) \times \tan(\theta)=\dfrac{1}{\sin(\theta)}\times\dfrac{\sin(\theta)}{\cos(\theta)}=\dfrac{1}{\cos(\theta)}=\sec(\theta)\\[/tex]

Answer:

[tex] a=\frac{9c}{2}-b [/tex]

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

[tex]a=\frac{9c}{2}-b[/tex]

Step-by-step explanation:

Isoate the variable to solve

Answer:

a) P(not red) = 37/49

b) P(purple) = 17/49

Step-by-step explanation:

Prob. of not red = (20+17) / (12+20+17) = 37/49

Answer:

6 ln x + 3 ln y

Step-by-step explanation:

Answer:

Therefore the equation is y=-x+4 (correct optlon: C)

Step-by-step explanation:

In order to find the equation that passes through both points, we can use the slope-intercept form of the linear equation:

y=mx+b

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

Using the given points on this equation, we have:

(-4,8):

(-4,8):8=m*(-4)+b

(-4,8):8=m*(-4)+bb=8+4m

(-4,8):8=m*(-4)+bb=8+4m(1,3):

(-4,8):8=m*(-4)+bb=8+4m(1,3):3=m+b

(-4,8):8=m*(-4)+bb=8+4m(1,3):3=m+b3=m+8+4m

(-4,8):8=m*(-4)+bb=8+4m(1,3):3=m+b3=m+8+4m5m=3-8

(-4,8):8=m*(-4)+bb=8+4m(1,3):3=m+b3=m+8+4m5m=3-85m=-5

(-4,8):8=m*(-4)+bb=8+4m(1,3):3=m+b3=m+8+4m5m=3-85m=-5m=-1

(-4,8):8=m*(-4)+bb=8+4m(1,3):3=m+b3=m+8+4m5m=3-85m=-5m=-1b=8+4*(-1)=8-4=4

Therefore the equation is y=-x+4 (correct optlon: C)

Answer is 0.42. Hope that helps.

Can you please answer comment i place on your question? I will give you a full description and answer for the work if you do.

Answer:

=] - 13

Step-by-step explanation:

=>21+(-34)

=> 21-34

=> -13

Answer:

1. [tex]\frac{3}{17}[/tex] (3/17)

2. [tex]\frac{3}{7}[/tex] (3/7)

3.  [tex]\frac{45}{184}[/tex] (45/184)

Step-by-step explanation:

1. [tex]\frac{\frac{3}{5} }{3\frac{2}{5}}[/tex] = [tex]\frac{\frac{3}{5} }{\frac{17}{5}}[/tex] = [tex]\frac{\frac{3}{1} }{\frac{17}{1}}[/tex]= [tex]\frac{3}{17}[/tex]

2. [tex]\frac{2}{4\frac{2}{3}}[/tex] = [tex]\frac{\frac{2}{1} }{\frac{14}{3}}[/tex]= [tex]\frac{2}{1} /\frac{14}{3}[/tex] = [tex]\frac{2}{1} *\frac{3}{14}[/tex] = [tex]\frac{6}{14}[/tex] = [tex]\frac{3}{7}[/tex]

3. [tex]\frac{\frac{5}{4} }{5\frac{1}{9} }[/tex] = [tex]\frac{\frac{5}{4} }{\frac{46}{9}}[/tex] = [tex]\frac{5}{4}/\frac{46}{9}[/tex] = [tex]\frac{5}{2}/\frac{23}{9}[/tex] = [tex]\frac{5}{2}*\frac{9}{23}[/tex] = [tex]\frac{45}{184}[/tex]

Hope this helps!

Parabolas are used to represent curved functions

The shortest distance between the parabola and the point is [tex]x = -\frac 1{2}[/tex]

The parabola is given as:

[tex]y=(7x+5)^{1/2}[/tex]

Rewrite as:

[tex]y=\sqrt{7x+5}[/tex]

Let p represent a point on the parabola.

So, we have:

[tex]P(x,\sqrt{7x + 5})[/tex]

Next, calculate the distance between P and the point (3,0) using the following distance formula:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex]

So, we have:

[tex]d = \sqrt{(x- 3)^2 + (\sqrt{7x + 5})^2[/tex]

[tex]d = \sqrt{x^2- 6x + 9 + 7x + 5}[/tex]

Evaluate the like terms

[tex]d = \sqrt{x^2+ x + 14}[/tex]

Square both sides

[tex]d^2 = x^2+ x + 14[/tex]

The shortest distance is then calculated as:

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

Where:

a = 1, b = 1 and c = 14

So, we have:

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

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

Hence, the shortest distance between the parabola and the point is [tex]x = -\frac 1{2}[/tex]

Read more about parabolas at:

https://brainly.com/question/4061870

Will recommend to keep in touch with picture as name of angles are based on it!

[tex] \\ [/tex]

So as you can see BA is parallel to DC as the arrow signs are made on it. And the figure has four sides , therefore we get to know that the above picture is of parallelogram.

[tex] \\ [/tex]

[tex] \rm\angle B = \angle D [/tex]

How ?

As we know it's a parallelogram, so there's one property of parallelogram that opposite sides of Angle are equal.

[tex] \\ [/tex]

[tex] \hookrightarrow \sf2x =130 \degree [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf x =130 \degree\div 2 \degree [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf x = \dfrac{130}{2} [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf x = \dfrac{13 \times 10}{2} [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf x = \dfrac{13 \times\cancel{ 10}}{\cancel2} [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf x = \dfrac{13 \times5}{1} [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf x =13 \times5[/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf x =65 \degree[/tex]

[tex] \\ [/tex]

Now Let's find value of y.

[tex] \rm \angle DAB =\angle DCB[/tex]

How ?

As we know it's a parallelogram, so there's one property of parallelogram that opposite sides of Angle are equal.

[tex] \\ [/tex]

[tex] \dashrightarrow \rm x = y[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \rm 65 = y[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \bf y = 65 \degree[/tex]

[tex] \\ [/tex]

angles on same line

[tex] \\ [/tex]

At last :-

x = 65°

y = 65°

z = 55°

The values of the unknown x, y and z in the figure are 65°, 35° and 85° respectively.

Data

The sum of angles in a parallelogram is equal to 360°. To solve for all the missing numbers, we have to use some properties of parallelogram.

2x = 130

Reason: Opposite angles in a parallelogram are equal.

let's solve for x

[tex]2x = 130 \\\frac{2x}{2} = \frac{130}{2}\\x = 65^0[/tex]

The value of x is 65°

Let's solve for y

[tex]x+ 130 + y + 2x= 360\\x = 65\\65 + 130 + y + 2(65) = 360\\325 + y = 360\\y = 360 - 325\\y = 35[/tex]

The value of y is 35°

Let's solve for z

[tex]60 + y + z = 180[/tex]

reason: sum of angles on a straight line is equal to 180°

[tex]60 + y + z = 180\\60 + 35 + z = 180\\95 + z = 180\\z = 180 - 95\\z = 85^0[/tex]

The values of the unknown x, y and z in the figure are 65°, 35° and 85° respectively.

Learn more on parallelograms here;

https://brainly.com/question/24056495

Answer:

0.38km²

Step-by-step explanation:

A=h and b/2

= 1·0.75/2=

0.375km²

Answer:

27*n

Step-by-step explanation:

A theater has 27 rows with n seats in each row. Which expression shows how many seats are in the entire theater?

27n or 27*n

You got it right.

Ex: A theater has 27 rows with 2 seats in each row.  Which expression shows how many seats are in the entire theater?

27*2 = 54 seats

Hope this helps!

The expression showing the number of seats in the considered entire theater is given by: Option A: [tex]27 \times n[/tex]

Suppose that there are two positive integer numbers( numbers like 1,2,3,.. ) as [tex]a[/tex] and [tex]b[/tex]

Then, their multiplication can be interpreted as:

[tex]a \times b = a + a + ... + a \: \text{(b times)}\\\\a \times b = b + b +... + b \: \text{(a times)}[/tex]

For example,

[tex]5 \times 2 = 10 = 2 + 2 + 2 + 2 + 2 \: \text{(Added 2 five times)}\\or\\5 \times 2 = 10 = 5 + 5 \: \text{(Added 5 two times)}[/tex]

Now, for the considered situation in the problem's statement, we are specified that:

So, total number of seats = n + n + ... + n (27 times) = [tex]27 \times n[/tex]

Thus, the expression showing the number of seats in the considered entire theater is given by: Option A: [tex]27 \times n[/tex]

Learn more about multiplication here:

https://brainly.com/question/520497

Answer:

Yes, it could be a probability

Step-by-step explanation:

The probability of an event HAS to be between the numbers 0 and 1. Not less than 0, not greater than 1. The number 0.12 is between 0 and 1, thus, making it a valid probability.

Answer:

There are 721 columns.

Step-by-step explanation:

6,489 ÷ 9 = 721

[tex]\bold{\huge{\underline{ Solution}}}[/tex]

Let assume that the distance between the golf ball and central of green is x

Here,

According to the law of cosine :-

[tex]\bold{\red{ a^{2} = b^{2} + c^{2} - 2ABcos}}{\bold{\red{\theta}}}[/tex]

So, For Hypotenuse law of cosine will be :-

[tex]\sf{ c^{2} = a^{2} + b^{2} - 2ABcos}{\sf{\theta}}[/tex]

Subsitute the required values,

[tex]\sf{ x^{2} = (150)^{2} + (30)^{2} - 2(150)(30)cos}{\sf{100°}}[/tex]

[tex]\sf{ x^{2} = 22500 + 900 - 900cos}{\sf{\times{\dfrac{5π}{9}}}}[/tex]

[tex]\sf{ x^{2} = 22500 + 900 - 900( - 0.174)}[/tex]

[tex]\sf{ x^{2} = 22500 + 900 + 156.6}[/tex]

[tex]\sf{ x^{2} = 23556.6}[/tex]

[tex]\bold{ x = 153.48\: yards }[/tex]

Hence, The distance between the ball and the center of green is 153.48 or 153.5 yards