there can be at most 1100 people in the Pokémon conference room. There are currently 20 tables set up the canned seat 10 people each. there are additional tables in storage that seats 25 people each

Answer:

(-5,4) (6,-2)

(-2-4)/(6+5)= -6/11

Answer:

-3/5

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

The given equation is [tex]\frac{2}{x-3}=\frac{5}{x}[/tex]

The denominator is never equal to zero.

Therefore [tex]x-3\ne0[/tex] or [tex]x\ne 0[/tex]

[tex]x\ne3[/tex] or [tex]x\ne 0[/tex]

Let us now cross multiply to get:

[tex]2x=5(x-3)[/tex]

Expand to get:

[tex]2x=5x-15[/tex]

Group similar terms to get:

[tex]5x-2x=15[/tex]

[tex]3x=15[/tex]

[tex]x=5[/tex]

Answer:

Option A

Step-by-step explanation:

The complete question is shown in the attachment.

Note that: [tex](f\cdot g)(x)=f(x)\cdot g(x)[/tex]

We need to multiply all the functions to see which of them satisfy the given criteria.

Option A

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

Option B

[tex]\frac{2}{x} \cdot \frac{2}{c} =\frac{4}{cx}[/tex]

Option C

[tex]\frac{x-2}{3} \cdot 2-3x =\frac{-3x^2+8x-4}{3}[/tex]

Option D

[tex]\frac{1}{2x-2} \cdot \frac{1}{2x+2} =\frac{1}{4(x^2-1)}[/tex]

The correct choice is A

Answer:

-20 and 6

Step-by-step explanation:

-20 x 6 = -120

and if you add -20 and 6, you get -14.

Answer:

x = 115°

Step-by-step explanation:

Answer:

x-6

Step-by-step explanation:

Answer:

x - 30

Step-by-step explanation:

[tex]3(x - 6) + (4x + 12) - 6x \\ 3x - 18 + 4x + 12 - 6x \\ 3x + 4x - 6x - 18 - 12 \\ x - 30[/tex]

Answer:

[tex]y=-\frac{3}{5}x+\frac{7}{5}[/tex]

Step-by-step explanation:

The correct question is

Write an equation for the line passing through (-6,5) and (4,-1)

step 1

Find the slope

we know that

The formula to calculate the slope between two points is equal to

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

we have

(-6,5) and (4,-1)

substitute

[tex]m=\frac{-1-5}{4+6}[/tex]

[tex]m=\frac{-6}{10}[/tex]

[tex]m=-\frac{3}{5}[/tex]

step 2

Find the equation of the line in point slope form

[tex]y-y1=m(x-x1)[/tex]

we have

[tex]m=-\frac{3}{5}[/tex]

[tex]point\ (-6,5)[/tex]

substitute

[tex]y-5=-\frac{3}{5}(x+6)[/tex]

step 3

Convert to slope intercept form

[tex]y=mx+b[/tex]

Isolate the variable y

[tex]y-5=-\frac{3}{5}x-\frac{18}{5}[/tex]

[tex]y=-\frac{3}{5}x-\frac{18}{5}+5[/tex]

[tex]y=-\frac{3}{5}x+\frac{7}{5}[/tex]

Answer:

144

Step-by-step explanation:

If 12 horses eat 96 bales of hay per week

Than one horse eats 96÷12 bales of hay per week

One horse eats 8 bales of hay per week

Than 18 horses will eat 8 × 18 bales of hay per week

18 horses will eat 144 bales of hay per week

Step-by-step explanation:

We have:

The unit fraction = [tex]\dfrac{1}{2}[/tex]

To find, the next four multiples of the unit fraction [tex]\dfrac{1}{2}[/tex] = ?

∴ The next four multiples of the unit fraction [tex]\dfrac{1}{2}[/tex]

The first multiple = [tex]\dfrac{1}{2}\times 2= \dfrac{2}{2} =1[/tex]

The second multiple = [tex]\dfrac{1}{2}\times 3= \dfrac{3}{2}[/tex]

The third multiple = [tex]\dfrac{1}{2}\times 4= \dfrac{4}{2} =2[/tex]

The fourth multiple = [tex]\dfrac{1}{2}\times 5= \dfrac{5}{2}[/tex]

∴ The next four multiples of the unit fraction [tex]\dfrac{1}{2}[/tex] are

[tex]\dfrac{2}{2}[/tex] ( 1), [tex]\dfrac{3}{2}[/tex], [tex]\dfrac{4}{2}[/tex] (2) and [tex]\dfrac{5}{2}[/tex].

The first four multiples: [tex]\frac{1}{2}, 1, \frac{3}{2}, 2[/tex]. A multiple of a fraction is found by multiplying that fraction by whole numbers.

To find the next four multiples of the unit fraction [tex]\frac{1}{2}[/tex], we can begin by understanding what a multiple of a fraction means.

Let's calculate the first four multiples of [tex]\frac{1}{2}[/tex]:

First multiple:  [tex]1 \times \frac{1}{2} = \frac{1}{2}[/tex]

Second multiple:  [tex]2 \times \frac{1}{2} = \frac{2}{2} = 1[/tex]

Third multiple:  [tex]3 \times \frac{1}{2} = \frac{3}{2}[/tex]

Fourth multiple:  [tex]4 \times \frac{1}{2} = \frac{4}{2} = 2[/tex]

Answer:

[tex]6\pi[/tex]

Step-by-step explanation:

use the formula [tex]C=2\pi r[/tex]

r = radius

plug in numbers into the equation to get

[tex]2\pi (3)[/tex] which equals [tex]6\pi[/tex]

Answer:

The answer was 9.42 units

Step-by-step explanation:

Answer:

14.14 in3

Step-by-step explanation:

It will take them 6 hours to travel 300 miles. How I got my answer: 160 divided by 3.2 = 50 miles per hour, 300 divided by 50 = 6 hours. Hope I could help! :D

Answer:

t = 6hrs

Step-by-step explanation:

Speed = distance/time

Speed at 160miles in 3.2hrs will be = 160/3.2= 50

At the constant speed of 50, time taken to travel 300miles

Is speed = distance / time

50 =300/t

Cross multiply

50t =300

Divide both sides by 50

t = 300/50

t = 6hrs

Answer:

1. A   2.A

Step-by-step explanation:

A for number 1 shows how the level of the pot slowly increases as things are added, while cooking the level stays consistent then as one dish is served it decreases a level then stays a bit and keeps repeating that.

A for number 2 shows how the bus speeds up then stays a consistent 25 mph and slows down for two stops then speeds up and stays 25 mph.

Answer:

The correct option is the last option d.) y = negative 3 plus-or-minus StartRoot 5 x + seven-halves EndRoot

Step-by-step explanation:

the given equation is [tex]5y + 4 =(x+3)^{2} + \frac{1}{2}[/tex]

Therefore we can write [tex]5y\hspace{0.1cm} = (x+3)^{2} + \frac{1}{2} - 4 \hspace{0.3cm} \Rightarrow \hspace{0.2cm} 5y = (x+3)^{2} - \frac{7}{2} \hspace{0.3cm} \Rightarrow \hspace{0.3cm} y = \frac{(x+3)^{2}}{5} - \frac{7}{10}[/tex]

To find the inverse of the above function let us replace x with y and y with x.

Therefore we get

[tex]x = \frac{(y+3)^{2}}{5} - \frac{7}{10}[/tex]

Now we write the above equation with only y on the Left hand side and we will obtain the inverse of the given function

[tex]y = \pm \sqrt{5 (x + \frac{7}{10} )} \hspace{0.1cm} - \hspace{0.1cm} 3 \hspace{0.1cm} \Rightarrow\hspace{0.1cm} y = \pm \sqrt{5x + \frac{7}{2} } - \hspace{0.1cm} 3 \hspace{0.1cm}[/tex]

Therefore the correct option is the last option d.) y = negative 3 plus-or-minus StartRoot 5 x + seven-halves EndRoot , [tex]y = \pm \sqrt{5x + \frac{7}{2} } - \hspace{0.1cm} 3 \hspace{0.1cm}[/tex]

Answer:

y = negative 3 plus-or-minus StartRoot 5 x + seven-halves EndRoot

Step-by-step explanation:

Kara walks A. 3 2/5 miles

Step-by-step explanation:

Step 1; We must calculate how much 2/5 miles is. 2/5 miles equals 0.40 miles. Kara walks this distance times 8 1/2. 8 1/2 times equals 8.5 times. So the distance she walked is the number of loops walked × distance of each loop.

Total distance walked = Number of loops walked × distance of each loop

                                      = 8.5 loops × 0.20 miles = 3.4 miles

Step 2; In order to check which option this is, we must know what values all the given options are equal to

A. 3 2/5 miles equals 3 miles + 2/5 miles = 3 + 0.20 = 3.20 miles.

B 4/85 miles equals 0.047 miles which is lesser than one loops distance.

C. 8 9/10 miles equals 8 miles + 9/10 miles = 8 + 0.90 = 8.90 miles

D. 21 1/4 miles equals 21 miles + 1/4 miles = 21 + 0.25 = 21.25 miles.

So the answer is option A.

Answer:

x< 2

Step-by-step explanation:

We are given the inequality;

5(x+3)−8<17

First we take 8 to the other side;

5(x+3)<17 + 8, notice the sign changes like with an equation

Opening the brackets;

5x + 15 < 25

We then take 15 to the other side;

5x < 25 -15

5x < 10

  x < 2

Thus, the solution of the inequality is x< 2

Answer: b.14

Step-by-step explanation:

We have two shelves, the top shelf [tex]s_{t}[/tex] and the bottom shelf [tex]s_{b}[/tex].

Now, firstly we are told the top shelf has 10 more than 1/3 the number of books on the bottom shelf. This can be expressed as:

[tex]s_{t}=10+\frac{1}{3}s_{b}[/tex] (1)

Then, we are told there are 12 books on the bottom shelf:

[tex]s_{b}=12[/tex] (2)

Substituting (2) in (1):

[tex]s_{t}=10+\frac{1}{3}(12)[/tex] (3)

[tex]s_{t}=10+\frac{12}{3}[/tex] (4)

[tex]s_{t}=14[/tex] (5) This is the number of books on the top shelf

Hence, the correct option is b.

Yo sup??

Dude chill....u will pass for sure :)

SA of composite figure=sum of SA of individual faces

=SA of 2 triangles+SA of rectangle 1+SA of lower cuboid

=2*1/2*8*10+2*9*14+3*10*14+2*10*10

=80+252+420+200

=952 ft^2

Hope this helps.

Answer:

draw an 8 x 7 rectangle

Step-by-step explanation:

note that

area of rectangle = length x width.

we also know that 56 = 8 x 7

hence you simply need to draw a rectangle and label the long side "8 cm" and the short side "7 cm"

To save time, you dont need to write "> or ="

You can simply write ">=" without the quotes.

So 3x >= 10 means "3x is greater than or equal to 10"

-----------------------------------

we start with 3x >= 2x+5

we want 3x-10 on the left hand side. We already have a 3x. So if we stick a -10 on the left side, we need to do the same thing to the right side to balance things out. We can subtract 10 from both sides to do this

3x >= 2x+5

3x-10 >= 2x+5-10 ... subtract 10 from both sides

3x-10 >= 2x-5

So it looks like a 5 will go in the blank because the negative portion is already taken care of.

Answer:

The answer is 10

Step-by-step explanation:

Perimeter of the triangle is 30.75 inches.

Step-by-step explanation:

Perimeter = 11.25 + 9.25 + 10.25

= 30.75 inches

Answer: $1935.56

Step-by-step explanation:

T.P=R.P-(12% of R.P)

R.P=$77.30 per 1m²

When m =5.35, m²=5.35²=28.6225

R.P= $(77.30×28.6225)

R.P=$2212.52

12.5% of R.P=0.125×$2212.52=$276.565

Therefore,

T.P = $2212.52-$276.565 = $1935.96

Note: T.P is Trade Price and R.P is Retail Price.

Hope this helps?

Answer:

x=1

Step-by-step explanation:

14=12x+2

subtract 2 from both sides

12=12x

divide both sides by 12 and you get x=1

Answer:

PQ = 16

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos60° = [tex]\frac{1}{2}[/tex], then

cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{RQ}{PQ}[/tex] = [tex]\frac{8}{PQ}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

PQ = 8 × 2 = 16

Answer:

M=8

Step-by-step explanation:

We have that every score in a sample is multiplied by 5, and the mean is found to be M = 40.

We want to find the original mean.

Since each of the data value is multiplied by 5, the new mean will be 5 times the original mean.

To get the original mean, we need to divide by 5;

Therefore the original mean is [tex]\frac{40}{5}=8[/tex]

To find the original mean, divide the new mean by the multiplying factor.

To find the original mean, we need to undo the multiplication by dividing the new mean by the multiplying factor. Since every score was multiplied by 5, we divide the new mean by 5 to get the original mean.

Original Mean = New Mean / Multiplying factor

Original Mean = 40 / 5

Original Mean = 8

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Answer:

A on E2020 (x = -5, x = 2, y = 3)

Step-by-step explanation:

By looking at the equation, we know that the horizontal asymptote can be found by using [tex]y=\frac{a}{b}[/tex], where [tex]a[/tex] and [tex]b[/tex] are the leading coefficients of the variables in the numerator and denominator.

In the equation, [tex]a=3[/tex] and [tex]b=1[/tex]. So, the horizontal asymptote is 3, meaning [tex]y=3[/tex].

To find the vertical asymptotes, we must simplify the denominator by factoring. We will then get [tex](x+5)(x-2)[/tex] in the denominator. So, [tex]x=-5[/tex] and [tex]x=2[/tex].

Therefore, the answer is option A.

Answer:

A Edge 2021

I got 100%

Answer: [tex]25.5 m^{3}[/tex]

Step-by-step explanation:

If the volume of a sphere is

[tex]V=\frac{4}{3} \pi r^{3}[/tex]

Where [tex]r=2.3 m[/tex] is the radius

The volume of a hemisphere is half the volume of the total sphere:

[tex]V_{hemisphere}=\frac{V}{2}=\frac{\frac{4}{3} \pi r^{3}}{2}[/tex]

[tex]V_{hemisphere}=\frac{2}{3} \pi r^{3}[/tex]

Solving this equation:

[tex]V_{hemisphere}=\frac{2}{3} \pi (2.3 m)^{3}[/tex]

Finally:

[tex]V_{hemisphere}=25.48m^{3} \approx 25.5 m^{3}[/tex]

The volume is approximately 12.8 cubic meters.

To find the volume of a hemisphere, we can use the formula for the volume of a sphere and then take half of that volume.

The formula for the volume of a sphere is:

V = (4/3)πr³

Since we only need the volume of a hemisphere, we'll divide by 2:

V = (1/2) * (4/3)πr³

Given the radius (r) is 2.3 meters, we substitute the value into the formula:

V = (1/2) * (4/3)π (2.3)³

First, calculate the cube of the radius:

2.33 = 2.3 * 2.3 * 2.3 = 12.167

Next, plug this back into the formula:

V = (1/2) * (4/3)π * 12.167

Then, calculate the constant part of this equation:

(4/3)π ≈ 4.18879

So:

V = (1/2) * 4.18879 * 12.167 = 25.5288

Finally, divide by 2:

V ≈ 12.7644

Rounding to the nearest tenth, the volume of the hemisphere is 12.8 cubic meters.

Answer:

y = 6.44

Step-by-step explanation:

"nine times number y" : 9y

"subtracted from 95" : (95 - 9y)

"equals 37" : (95 - 9y) = 37

solving for y

95 - 9y = 37   (subtract 95 from both sides)

-9y = 37 - 95

-9y = -58  (divide both sides by -9)

y = -58/ -9

y = 6.44

The required algebraic expression that is nine times a number y subtracted from 95 equals 37. is 95 - 9y = 37.

Given that,
To determine the algebraic expression for nine times a number y subtracted from 95 equals 37.

The algebraic expression consists of constant and variable. eg x, y, z etc.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,

The number be y
Nine-time of y = 9y
Subtraction of 9y from 95 is equal to 37,
95 - 9y = 37

Thus, the required algebraic expression that is nine times a number y subtracted from 95 equals 37. is 95 - 9y = 37.

Learn more about algebraic expression here:

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Answer:

Therefore 70 year Marc's grandmother be 5 times of as Marc will be after (70-56) = 14 year.

Step-by-step explanation:

Given, Marc was born on his grandmother's 56th birthday.

Let , x year will Marc's grandmother be 5 times as Marc will be then.

At that time the age of Marc will be = (x-56) year

According to the problem,

x= 5(x-56)

⇔x = 5x - 280

⇔x-5x= -280

⇔-4x=-280

⇔x=70

Therefore 70 year Marc's grandmother be 5 times of as Marc will be after (70-56) = 14 year.