The ballpark made a total of $15,000 from ticket sales at Wednesday's game. The ballpark
charges $20 for each adult ticket and $10 for each child's ticket. They sold 3 times as many
children's tickets as adult tickets.
Write a system of equations that can be used to determine the number of adult ar
child tickets sold.​

Answer:

m ∠ UVT = 97° is the required answer.

Step-by-step explanation:

Given:

m∠WVU = 169°

m∠WVT = (2x + 20)°

m∠UVT = (3x + 19)°

To Find:

m∠UVT = ?

Solution:

Angle Addition Postulate is that if you place two angles side by side, then the measure of the resulting angle will be equal to the sum of the two original angle measures.

So By applying this property in the diagram below we get,

m∠ WVT + m∠UVT = m∠WVU ............{Angle Addition Postulate}

[tex](2x+20) + (3x+19) = 169\\5x + 39 = 169\\5x=169-39\\5x=130\\\therefore x=\frac{130}{5} \\\therefore x=26\\[/tex]

Now,

m∠UVT = (3x + 19)°

Substituting x = 26 we get

  m∠UVT = 3 ×26 + 19

                = 78 +19

∴ m∠UVT = 97°

Answer:

(22, 7)

Step-by-step explanation:

Let x and y be the unknown two numbers.

x+y=29

x-y=15

----------

2x=44

x=44/2

x=22

----------

22+y=29

y=29-22=7

x=22, y=7.

Answer:

45/16 or 2 13/16, the maximum amount of sundaes that Anton can make with ice cream is 2.

Step-by-step explanation:

1 7/8=15/8

2/3x<=15/8

x<=(15/8)/(2/3)

x<=(15/8)(3/2)=45/16

Answer:

42

Step-by-step explanation:

ab is a x b

[tex]a \times b[/tex]

[tex]6 \times 7 = 42[/tex]

Answer:279,936

Step-by-step explanation:

i hope its helps

Answer:

Part a) Camilo is 34 years old and Juan is 28 years old

Part b) The difference between Camilo's age and Juan's age is 6 years

Part c) The sum of the ages of Camilo and Juan not coincide with the age of Andres' grandmother

Step-by-step explanation:

The question in English is

If Camilo is 6 years older than Juan, Juan is 7 years younger than Andrés and Andrés is 35 years old .

Part a)  How old is Camilo and how old is Juan? raises the equation.

Part b) What's the difference between Camilo's age and Juan's age?

Part c) If Andres's grandmother is 65 years old, does the sum of the ages of Camilo and Juan coincide with the age of Andres' grandmother?

Part a)  How old is Camilo and how old is Juan? raises the equation.

Let

x -----> Camilo's age

y -----> Juan's age

z -----> Andres's age

we know that

[tex]x=y+6[/tex] -----> equation A

[tex]y=z-7[/tex] -----> equation B

[tex]z=35[/tex] -----> equation C

Find the value of y

substitute the value of z in the equation B

[tex]y=35-7=28[/tex]

Find the value of x

substitute the value of y in the equation A

[tex]x=28+6=34[/tex]

therefore

Camilo is 34 years old and Juan is 28 years old

Part b) What's the difference between Camilo's age and Juan's age?

Subtract Juan's age from Camilo's age

so

[tex]x-y=34-28=6\ years[/tex]

Part c) If Andres's grandmother is 65 years old, does the sum of the ages of Camilo and Juan coincide with the age of Andres' grandmother?

Adds Camilo's age and Juan's age

[tex]x+y=34+28=62\ years[/tex]

[tex]62\ years\neq 65\ years[/tex]

therefore

The sum of the ages of Camilo and Juan not coincide with the age of Andres' grandmother

Answer:

the ball is on the ground after 3 seconds right so it would still be on the ground

Step-by-step explanation:

Answer:50 meters

Step-by-step explanation:

Answer: B 7.5

Step-by-step explanation:

Y = Kx

4 = k30

k = 30/4

k = 7.5

or

Y = KX

X Y

Answer:

If a vine tear is occurs after the fruit, cover it with soil and it should produce secondary roots. Number of Fruit on a Vine: A single pumpkin plant normally produces two to five pumpkins. Miniature varieties will produce up to a dozen or so.

Step-by-step explanation:

Answer: it should be "B. 73" if I'm incorrect sorry but it should be "B. 73"

Step-by-step explanation:

Answer:

2b+4 so yes there are equivalent

Step-by-step explanation:

4b-7-2b+11

4b-2b-7+11

2b+4

b+3+b+1

2b+4

12/30 = 18/45, so first you're going to cross multiply and you'll get (30)(18) = (12)(45). Then you can see that 540 = 540 same number so they're proportional...

BTW THIS WAY IS A LOT EASIER.

12/30 = 2/5

18/45 = 2/5

So yes, in summary, they're proportional to each other. Hope this helps, have a BLESSED and wonderful day! :-)

Answer:

proportional

Step-by-step explanation:

12/30 multiplied by a factor of 1.5 is 18/45 so it is proportional

Required number is [tex]\frac{-13}{5}[/tex] and required expression is n – 10 = 6n + 3

Given that  

Ten less than a number is three more than six times the number.

Number is represented by variable "n"

Need to determine equation and the number.

Ten less than number means subtracting 10 from the number  

As number is n so ten less than number = n – 10   ------(1)

Six times the number = number multiplied by 6 = 6n  

So three more than Six times the number = 6n + 3 --------(2)

As ten less than number is equal to  3 more than six times the number  

=> n – 10  = 6n + 3

Solving the above expression for n we get

-10-3 = 6n – n

=> 5n = -13

[tex]\Rightarrow \mathrm{n}=-\frac{13}{5}[/tex]

Hence required number is [tex]-\frac{13}{5}[/tex] and required expression is n – 10  = 6n + 3

Answer:

The answers are "(f+g)(x)> 3 for all values of x" and "(f+g)(x)<6 for all values of x".

Step-by-step explanation:

Keith can withdraw money from his account for 12 weeks.

Step-by-step explanation:

Total savings = $500

Amount to be left in his account = $200

Withdrawal per week = $25

Let,

x be the number of weeks.

According to given statement;

Total savings - Withdrawal per week * no. of weeks = Amount to be left

[tex]500-25x=200\\-25x=200-500\\-25x=-300\\[/tex]

Dividing both sides by -25

[tex]\frac{-25x}{-25}=\frac{-300}{-25}\\x=12[/tex]

Keith can withdraw money from his account for 12 weeks.

Keywords: savings, linear expression

Learn more about linear expressions at:

#LearnwithBrainly

Final answer:

Keith can withdraw money from his account for food for 12 weeks before reaching his minimum account balance requirement of $200.

Explanation:

To determine how many weeks Keith can withdraw money from his account while maintaining a balance of at least $200, we need to perform a simple subtraction and division operation. First, we calculate the amount he needs to leave in the account:
$500 initial balance - $200 desired end balance = $300 available to spend.
Keith withdraws $25 per week for food. To find out how many weeks his money will last, we divide the total amount he can spend by the weekly withdrawal amount:
$300 \/ $25 per week = 12 weeks.
Therefore, Keith can withdraw money for food for 12 weeks before his account balance reaches his minimum requirement of $200.

Answer:

4 g after 30 seconds.

Step-by-step explanation:

After 10 seconds 32 * 1/2  = 16 g are present.

After 20 seconds 32 * (1/2)^2 = 8 g are present

After 30 seconds 32 * (1/2)^3 = 4 g are present.

Answer: x=0.5

Step-by-step explanation: In order to solve this problem, you need to simplify the rest of the problem first. You can do this by dividing -7 by 2, which will result in -3.5, making the equation 3x-3.5=-5. If you add 3.5 to both sides, the equation becomes 3x = 1.5. If you divide 1.5 by 3, you are left with 0.5, so x=0.5.

Final answer:

The solution to the linear equation '3x minus 7 divided by 2 equals negative 5' is found by performing algebraic operations to isolate the variable, resulting in x = -1.

Explanation:

The question involves solving a linear equation which is a fundamental concept in mathematics. To solve the equation 3x minus 7 divided by 2 equals negative 5, you will perform algebraic operations to isolate the variable x. Here is a step-by-step process:

Applying this process, you can see that the original equation is satisfied when x = -1, which completes our solution.

Answer:

The measure of side BD is 8.6  and The measure of side CE is 8.4  

Step-by-step explanation:

Given as :

The Triangle is ABC with side AB , BC , CA

And The points E  and D  is on the side AB and AC

So, AED is a Triangle

And Δ AED [tex]\sim[/tex] Δ ABC

The measure of side AD = 6.9

The measure of side AE = 7.2

The measure of side ED = 5.2

The measure of side BC = 10.2

Let The The measure of side EB = x

And The measure of side DC = y

So, From similarity property

[tex]\dfrac{AB}{AE}[/tex] = [tex]\dfrac{AC}{AD}[/tex] = [tex]\dfrac{BC}{ED}[/tex]

Or,  [tex]\dfrac{AB}{AE}[/tex] = [tex]\dfrac{BC}{ED}[/tex]

So, [tex]\dfrac{7.2 + x}{7.2}[/tex] = [tex]\dfrac{10.2}{5.2}[/tex]

Or, 5.2 × ( 7.2 + x ) = 10.2 × 7.2

Or, 37.44 + 5.2 x = 73.44

Or, 73.44 - 37.44 = 5.2 x

∴ x = [tex]\frac{36}{5.2}[/tex]

I.e x = 6.9

Now in Δ BED

BE² + ED² = BD²

Or, 6.9² + 5.2² = BD²

Or, BD² = 74.65

∴  BD = [tex]\sqrt{74.65}[/tex]

I.e BD = 8.64

Or, BD = 8.6

Similarly for y

[tex]\dfrac{AC}{AD}[/tex] = [tex]\dfrac{BC}{ED}[/tex]

Or,  [tex]\dfrac{6.9+y}{6.9}[/tex] = [tex]\dfrac{10.2}{5.2}[/tex]

Or, 5.2 × ( 6.9 + y ) = 10.2 × 6.9

Or, 35.88 + 5.2 y = 70.38

or, 5.2 y = 70.8 - 35.88

Or, 5.2 y = 34.5

∴  y = [tex]\frac{34.5}{5.2}[/tex]

I.e y = 6.6

Now in Δ CED

CD² + ED² = CE²

Or, 6.6² + 5.2² = CE²

Or, CE² = 70.6

∴  CE = [tex]\sqrt{70.6}[/tex]

I.e CE = 8.40

Or, CE = 8.4

Hence The measure of side BD is 8.6  and The measure of side CE is 8.4  Answer

Answer:

By using geometric calculations,the measure of BD and CE are 6.9 and 7.4 respectively.

2,x, 26 are in A. P.

a2-a1 = a3-a2

x-2 = 26-x

2x = 26+2

2x = 28

So  x = 14.

Answer:

The current density of the solution in [tex]m^2[/tex] is [tex]11100A/m^2[/tex]

Step-by-step explanation:

One square decimeter is equal to 0.01 square meter, Thus the current density in square meters is

[tex]\frac{111A}{dm^2} =\frac{111A}{0.01m^2} =\frac{111}{0.01}*\frac{A}{m^2}=\boxed{11100A/m^2}[/tex]

11100 Amperes per square meter.

Answer:

The numbers are messed up, don't copy and paste from khan.

The answer is 100

Step-by-step explanation:

I took the test

Answer:

x=-2, y=-2. (-2, -2)

Step-by-step explanation:

3x-5y=4

-5x+4y=2

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

5(3x-5y)=5(4)

3(-5x+4y)=3(2)

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

15x-25y=20

-15x+12y=6

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

-13y=26

y=26/-13

y=-2

3x-5(-2)=4

3x+10=4

3x=4-10

3x=-6

x=-6/3

x=-2

x=-2, y=-2.

Answer:

they have 214 grams of cheese together

Answer:

214g

Step-by-step explanation:

Sara has 84 grams of cheese.

Olivia has 130 grams of cheese.

Total amount of cheese = Sara's cheese + Olivia's cheese

Total amount of cheese = 84 + 130

214 = 84 + 130

Answer:

(4-1)•n=n•(4-1)

Step-by-step explanation:

It should equal each other so no matter what n equals it will equal each other :3

Step-by-step explanation:

Commutative property: a · b = b · a

(4 - 1) · n = n · (4 - 1)

Answer:

3:45 P.M.

Step-by-step explanation:

After I fill the tank, the content settles for 14 hours before the liquid is removed.

So, the liquid is removed after content settlement i.e. after 14 hours of filling up the tank.

If I fill the tank at 1:45 A.M. then after 14 hours i.e. at 3: 45 P.M I will remove the liquid.

If we separate the 14 hours into (12 hours + 2 hours), then by adding 12 hours the time will remain the same, only the A.M. will change to P.M i.e. 1: 45 P.M. and then by adding 2 hours more the time will be 3:45 P.M. (Answer)  

Answer:

9:59

Step-by-step explanation:

all you have to do is add the hours to the hours and the minutes to the minutes but if you get a number over 60 in the minutes section then you need to subtract 60 from that side until get a number under 60 then you add however many times you did that to the hours

Answer:

Step-by-step explanation:

9 minutes past 4 = 04:09

Then in 5hours:50minutes, add it to 04:09, then we obtain 09:59

Answer:

C

Step-by-step explanation:

First of all,

Since, from the graph we can see that the line is sloping upward, we know the correlation coefficient would be POSITIVE, so we can immediately eliminate choices A & B.

Now, the closer the correlation coefficient value is to 0, the less steep the line is. The closer it is to 1, the more steeper it is.

Looking at the graph, it isn't that flat, it is quite steep. So the correlation coefficient would be 0.8, NOT 0.1

So, answer choice C is right.

Answer:  (-7, -4)

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

Explanation:

The general equation y = a| x-h | + k has the vertex (h,k)

Rewrite the original function in this form to get f(x) = -1|x - (-7)| + (-4) and we see that h = -7 and k = -4

So that's why the vertex is (h,k) = (-7, -4)

The V shape graph opens downward meaning that the vertex (-7, -4) is at the highest point. The graph is shown below. I used GeoGebra to make the graph.

Answer:

-7,-4

Step-by-step explanation:

Answer:

n = - 3

Step-by-step explanation:

We have to solve the equation [tex]2^{n} = \frac{1}{8}[/tex] for n.

Now, as the variable is in power, we will take a log on both sides.

So, [tex]2^{n} = \frac{1}{8}[/tex]

⇒ [tex]\log 2^{n} = \log \frac{1}{8}[/tex]

⇒ n log 2 = log 1 - log 8 {Since we know the property of logarithm [tex]\log a^{b} = b \log a[/tex] and [tex]\log \frac{a}{b} = \log a - \log b[/tex]}

⇒ n log 2 = -  log 2³ { Since, log 1 = 0}

⇒ n log 2 = - 3 log 2

⇒ n = - 3 (Answer)

Answer:

no 4x and -x can be combined to form 3x, and 5y and 3y can be combned to form 8y. the correct equation should be 3x+8y-12

Step-by-step explanation:

For this case we have that by definition, the slope of a line

is given by:

[tex]m = \frac {y_ {2} -y_{1}} {x_ {2} -x_ {1}}[/tex]

Where:

[tex](x_ {1}, y_ {1})\ and\ (x_ {2}, y_ {2})[/tex] are two points through which the line passes.

According to the statement we have:

[tex](x_ {1}, y_ {1}): (3,5)\\(x_ {2}, y_ {2}): (3, -5)[/tex]

Substituting we have:

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

It is noted that the slope is undefined.

Answer:

The slope is undefined

x equals 47 degrees

Remember you must provide full questions in order to get excellent and precise answers. However, I have attached a figure in order to set the problem in context. Here we have a triangle. The most basic definition for a triangle is a polygon with three edges and three vertices, but there is something that is very important for all triangles:

By knowing this, we can write:

[tex]x^{\circ}+95^{\circ}+38^{\circ}=180^{\circ} \\ \\ Isolating \ x: \\ \\ x^{\circ}=180^{\circ}-95^{\circ}-38^{\circ} \\ \\ x^{\circ}=47^{\circ} \\ \\ \\ Where: \\ \\ \boxed{x=47}[/tex]

Area of triangles: https://brainly.com/question/12051125

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