A stadium has 45,000 seats. Seats sell for ​$28 in Section​ A, ​$24 in Section​ B, and ​$20 in Section C. The number of seats in Section A equals the total number of seats in Sections B and C. Suppose the stadium takes in ​$1,137,200 from each​ sold-out event. How many seats does each section​ hold?
can you also show how you got it?
ASAP

Given that:

Emma drinks 2/3 cups of water for every mile she hikes.

Capacity of water bottle = 4 cups

To find:

The number of miles she can hike before her water runs out.

Solution:

According to the given information,

[tex]1\text{ mile}=\dfrac{2}{3}\text{ cup}[/tex]

Multiply both sides by 3.

[tex]3\text{ miles}=2\text{ cups}[/tex]

Divide both sides by 2.

[tex]\dfrac{3}{2}\text{ miles}=1\text{ cup}[/tex]

It means, she need 1 cup water for every 3/2 miles.

Multiply both sides by 4.

[tex]\dfrac{3}{2}\times 4\text{ miles}=1\times 4\text{ cups}[/tex]

[tex]6\text{ miles}=4 \text{ cups}[/tex]

Therefore, she can hike 6 miles before her water runs out.

Answer:

RLS is a straight angle

RLT is an obtuse angle

TLS is an acute angle

TRL is not an angle

TLU is a straight angle

SLU is an obtuse angle

SLT is an acute angle

ULR is an acute angle

and ULS is an obtuse angle

Step-by-step explanation:

You really just have to look at the angles from either of the straight angles (angles that are 180°) perspective and see of they lean more to make a smaller angle by leaning towards the other end of the angle, or a large one by leaning away from the opposite end.

in the figure a)

y + 105 = 180 ( being linear pair )

y = 180 - 105

y = 75

Now

z = y ( being alternate angle )

z = 75

Also

x = z ( being vertically opposite angles)

x = 75

in the figure b)

we can see it is an isosceles triangle then

60 + 60 + z = 180 ( sum of angles of triangle)

120 + z = 180

z = 180 - 120

z = 60

now

y + 60 = 180( being linear pair)

y = 180 - 60

y = 120

also

x + y = 180( being co interior angles )

x + 120 = 180

x = 180 - 120

x = 60

Answer:

justin = 135 & greg = 150

Step-by-step explanation:

equations:

(justin is 15lbs under greg) j-15=g

(find gregs full weight by doubling bc the problem gave you half) 75*2=150

(plug in gregs wieght to find justins weight) j-15=150 -> j=135

Answer:

Im mad that you didnt helped me >:(

Answer:x=6

Does this help ?

Step-by-step explanation:

Answer:

0.375

Step-by-step explanation:

Divide each term by

32

and simplify.

Exact Form: x=3/8

Decimal Form: x= 0.375

Answer:

A|4x-2|=-6

Step-by-step explanation:

A. The absolute value of an equation cannot equal a negative number.

Answer:

A

Step-by-step explanation:

Answer:

3(12+27)

Step-by-step explanation: 3 can go into both of those numbers so u would just divide that by 3 with 36 and 81.

Here are the steps required for Simplifying Radicals:

Step 1: Find the prime factorization of the number inside the radical. Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder. Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers. Also factor any variables inside the radical.

Step 2: Determine the index of the radical. The index tells you how many of a kind you need to put together to be able to move that number or variable from inside the radical to outside the radical. For example, if the index is 2 (a square root), then you need two of a kind to move from inside the radical to outside the radical. If the index is 3 (a cube root), then you need three of a kind to move from inside the radical to outside the radical.

Step 3: Move each group of numbers or variables from inside the radical to outside the radical. If there are nor enough numbers or variables to make a group of two, three, or whatever is needed, then leave those numbers or variables inside the radical. Notice that each group of numbers or variables gets written once when they move outside the radical because they are now one group.

Step 4: Simplify the expressions both inside and outside the radical by multiplying. Multiply all numbers and variables inside the radical together. Multiply all numbers and variables outside the radical together.

Shorter version:

Step 1: Find the prime factorization of the number inside the radical.  

Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind.  

Step 3: Move each group of numbers or variables from inside the radical to outside the radical. In this case, the pair of 2’s and 3’s moved outside the radical.  

Step 4: Simplify the expressions both inside and outside the radical by multiplying.

Answer:

estimated product = 80, exact product = 79.79

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{6p}}}}}[/tex]

Step-by-step explanation:

[tex] \bf{4p + 2p}[/tex]

sólo se pueden sumar o restar los coeficientes de términos similares.

[tex] \longrightarrow{ \bf{(4 + 2)p}}[/tex]

[tex] \longrightarrow{ \bf{6p}}[/tex]

Hope I helped!

Best regards! :D

Answer:

false

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

Answer:

If I have understood the problem correctly, your answer will be 8.6

Step-by-step explanation:

You will first subtract 6.3 from 2.5 resulting in you getting -3.8

Now your problem will look like this: 4.8-(-3.8)

Since there is two negatives side by side that negative becomes a positive.

Now your problem looks like this: 4.8+3.8

Now you just add the two together resulting in you getting 8.6

Your Welcome

The resultant of the given expression 4.8 – (2.5 – 6.3) is 8.6.

To subtract in mathematics is to take something away from a group or a number of objects.

In other meaning, subtraction is a mathematical operation such that two values are going to subtract and give a resultant value.

The group's total number of items decreases or becomes lower when we subtract from it.

Given the expression,

4.8 – (2.5 – 6.3)

4.8 - (-3.8)

Since multiplication of two minuses is plus

So,

4.8 - (-3.8) = 4.8 + 3.8

⇒ 8.6

Hence "The resultant of the given expression 4.8 – (2.5 – 6.3) is 8.6".

For more about subtraction,

https://brainly.com/question/1927340

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Answer:

Simplify (4x − 6) − (5x + 1).

I believe it would be -x - 7.

Step-by-step explanation:

I took the test and got the answer correct.

Hope this helps! :)

Answer:

x=1

Step-by-step explanation:

Let's solve your equation step-by-step

-7(6+8v)=6-8v

Step 1 :Simplify both sides of the equation

-7(6+8v)=6-8v

(-7)(6)+(-7)(8v) =6+-8v(distribute)

-42+-56v=6+-8v

-56v-42=-8v+6

Step 2 : Add 8v to both sides

-56v-42+8v=-8v+6+8v

-48v-42=6

Step 3: Add 42 to both sides

-48v-42+42=6+42

-48v=48

Step 4: Divide both sides by -48

-48v/-48 =48/-48

Answer: V=-1

.

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

Explanation:

The absolute value of a negative number is the positive version of that number

|-25| = 25

|-34| = 34

The absolute value of a positive number is that exact same number

|0.5| = 0.5

|0.35| = 0.35

Absolute value represents the distance a number is from 0 on the number line. The distance is never negative, which is why |-25| = 25 for instance.

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

After simplifying each absolute value, we get this list {25, 0.5, 34, 0.35}

That sorts from greatest to least to get {34, 25, 0.5, 0.35}

This means the answer is |-34|, |-25|, |0.5|, |0.35|

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

note: it might help to think of 0.5 as 0.50, so you can see that 0.50 is larger than 0.35

Answer:

3.4545

Step-by-step explanation:

The line's slope through the specified points is 3.

A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.

As per the given data:

Points are (-1,-4) and (1, 2)

slope of a line joining two points:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{2 - (-4)}{1 - (-1)}[/tex]

[tex]m = \frac{6}{2}[/tex]

m = 3

The slope of the line that passes through the given points is 3.

To learn more on Slope, click:

brainly.com/question/3605446

The expression can be used to find the value of the expression: 1, 284 ÷ 4 will be (1, 200 ÷ 4) + (84 ÷4). Option C is correct.

It is defined as the combination of constants and variables with mathematical operators.

It is given that the expression is,  1, 284 ÷ 4

We have to apply the arithmetic operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷. We'll apply division by Splitting into equal halves or groups.

=1284 / 4

The expression can be written as,

=(1200+84)/4

=1200/4 + 84/4

= 321

Thus, the expression can be used to find the value of the expression: 1, 284 ÷ 4 will be (1, 200 ÷ 4) + (84 ÷4). Option C is correct.

The question is incomplete, the complete question is" Find the expression can be used to find the value of the expression: 1, 284 ÷ 4

Learn more about the expression here:

brainly.com/question/14083225

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Step-by-step explanation:

Putting value of w

(8)2 - 4(8) - 2

64 - 32 - 2

32 - 2

30

Answer:

32 and 40

Step-by-step explanation:

Their ages are in the ratio 4 : 5 = 4x : 5x ( x is a multiplier )

In 8 years their ages will be

4x + 8 and 5x + 8 in the ratio 5 : 6

Expressing this ratio in fractional form

[tex]\frac{4x+8}{5x+8}[/tex] = [tex]\frac{5}{6}[/tex] ( cross- multiply )

5(5x + 8) = 6(4x + 8) ← distribute parenthesis on both sides

25x + 40 = 24x + 48 ( subtract 24x from both sides )

x + 40 = 48 ( subtract 40 from both sides )

x = 8

Thus their present ages are

Asha = 4x = 4(8) = 32

Amina = 5x = 5(8) = 40

Step-by-step explanation:

Putting value of z

5(2)2 - 2 - 4

5(4) - 6

20 - 6

14

Answer:

Step-by-step explanation:

(5 - 1)/2= 4/2 = 2

(5+3)/2= 8/2= 4

(2,4)

For triangle : A + B + C = π

⇒ A + B = π - C

⇒ cot(A + B) = cot(π - C)

⇒ [tex]\sf\dfrac{cotA\:cotB-1}{cotB+cotA}=-cotA[/tex]

⇒ [tex]\bf{cotA\:cotB+cotB\:cotC+cotC\:cotA=1}[/tex]

Now 1st part of the given expression!

⇒ [tex]\sf\dfrac{cosA}{sinB\:sinC}[/tex]

⇒ [tex]\sf\dfrac{cos(\pi-(B+C))}{sinB\:sinC}[/tex]

⇒ [tex]\sf\dfrac{-cosB\:cosC+sinB\:sinC}{sinB\:sinC}[/tex]

⇒ 1 - cotB cotC

Similarly 2nd part!

⇒ 1 - cotA cotB

Similarly 3rd part!

⇒ 1 - cotC cotA

LHS :

[tex]\circ\:\sf{3-(cotA\:cotB+cotB\:cotC+cotC\:cotA)}[/tex]

[tex]\circ\:\sf{3-1}[/tex]

[tex]\circ\:\bf{2}[/tex] = RHS

Answer:  see proof below

Step-by-step explanation:

Given: A + B + C = π                 →  A + B = π - C

                                                 →  B + C = π - A

                                                 →  A + C = π - B

Use the following Double Angle Identity:    sin 2A = 2 sin A · cos A

Use the following Cofunction Identity:    sin A = cos (π/2 - A)

Use the following Sum to Product Identity:

                                                       sin A + sin B = sin [(A + B)/2] · cos [(A - B)/2]

Proof LHS → RHS

[tex]\text{LHS:}\qquad \dfrac{\cos A}{\sin B\cdot \sin C}+\dfrac{\cos B}{\sin C\cdot \sin A}+\dfrac{\cos C}{\sin A\cdot \sin B}\\\\\\.\qquad \quad = \bigg(\dfrac{2\sin A}{2\sin A}\bigg)\dfrac{\cos A}{\sin B\cdot \sin C}+\bigg(\dfrac{2\sin B}{2\sin B}\bigg)\dfrac{\cos B}{\sin C\cdot \sin A}+\bigg(\dfrac{2\sin C}{2\sin C}\bigg)\dfrac{\cos C}{\sin A\cdot \sin B}\\\\\\.\qquad \quad =\dfrac{2\sin A\cdot \cos A+2\sin B\cdot \cos B+2\sin C\cdot \cos C}{2\sin A\cdot \sin B\cdot \sin C}[/tex]

[tex]\text{Double Angle:}\qquad \qquad \dfrac{\sin 2A+\sin 2B+\sin 2C}{2\sin A\cdot \sin B\cdot \sin C}\\\\\\.\qquad \qquad \qquad \qquad =\dfrac{(\sin 2A+\sin 2B)+\sin 2C}{2\sin A\cdot \sin B\cdot \sin C}[/tex]

[tex]\text{Sum to Product:}\qquad \dfrac{2\sin (A+B)\cdot \cos (A-B)+\sin 2C}{2\sin A\cdot \sin B\cdot \sin C}[/tex]

[tex]\text{Given:}\qquad \qquad \qquad \dfrac{2\sin (\pi -C)\cdot \cos (A-B)+\sin 2C}{2\sin A\cdot \sin B\cdot \sin C}\\\\\\.\qquad \qquad \qquad \qquad =\dfrac{2\sin C\cdot \cos (A-B)+\sin 2C}{2\sin A\cdot \sin B\cdot \sin C}[/tex]

[tex]\text{Double Angle:}\qquad \qquad \dfrac{2\sin C\cdot \cos (A-B)+2\sin C\cdot \cos C}{2\sin A\cdot \sin B\cdot \sin C}\\\\\\.\qquad \qquad \qquad \qquad =\dfrac{2\sin C(\cos (A-B)+\cos C)}{2\sin A\cdot \sin B\cdot \sin C}[/tex]

[tex]\text{Sum to Product:}\qquad \dfrac{2\sin C(2\cos (\frac{A-B+C}{2})\cdot \cos (\frac{A-B-C}{2})}{2\sin A\cdot \sin B\cdot \sin C}\\\\\\.\qquad \qquad \qquad \qquad =\dfrac{4\sin C\cdot \cos (\frac{A+C}{2}-\frac{B}{2})\codt \cos (\frac{A}{2}-\frac{B+C}{2})}{2\sin A\cdot \sin B\cdot \sin C}[/tex]

[tex]\text{Given:}\qquad \qquad \dfrac{4\sin C(\frac{\pi-B}{2}-\frac{B}{2})\cdot \cos (\frac{A}{2}-\frac{\pi -A}{2})}{2\sin A\cdot \sin B\cdot \sin C}\\\\\\.\qquad \qquad \qquad =\dfrac{4\sin C(\frac{\pi}{2}-B)\cdot \cos (\frac{\pi}{2}-A)}{2\sin A\cdot \sin B\cdot \sin C}[/tex]

[tex]\text{Cofunction:}\qquad \qquad \dfrac{4\sin C\cdot \sin B\sin A}{2\sin A\cdot \sin B\cdot \sin C}\\\\\\.\qquad \qquad \qquad \qquad =2[/tex]

LHS = RHS:  2 = 2  [tex]\checkmark[/tex]

Answer:

[tex]\sqrt{418}[/tex]

Step-by-step explanation:

The length of a diagonal of a square is [tex]\sqrt{2}a[/tex], where a is the length of one side.

If the area of a square garden is 209m, we know that the side length must be [tex]\sqrt{209}[/tex]m, since the area of a square is it’s side length squared.

Now we can substitute inside the formula.

[tex]\sqrt{2}\cdot\sqrt{209}[/tex]

When multiplying roots, the multiplication problem can simplify down to whatever is in the roots multilpied by each other.

So, [tex]209\cdot 2 = 418[/tex]

So the length of the diagonal is [tex]\sqrt{418}[/tex] m.

Hope this helped!

Answer: A

Step-by-step explanation: A because if we do 14X8 that equals 112.

Answer:

the answer is 5 1/4

Answer: it’s d

Step-by-step explanation: