state A,B and C have hosted a certain sporting event a total of 75 times. state A had hosted the sporting event 9 more times then state C. together, state A and state C have hosted five more than four times the number of this sporting event that state b hosted. determine the number of times this sporting even was hosted by each of the three states ​

Answers

Answer 1

Answer:

Step-by-step explanation:

Total events = 75

A + B + C = 75  --------------(I)

State A had hosted the sporting event 9 more times then state C.

A = C + 9 ---------------------(II)

Together, state A and state C have hosted five more than four times the number of this sporting event that state b hosted.

A + C = 4B + 5  ---------------------(III)

Substitute A = C + 9 in (III)

C + 9 + C = 4B + 5

   2C + 4 = 4B  + 5

        2C  = 4B + 5 - 9

       2C  = 4B - 4

Divide the whole equation by 2

   2C/2  = 4B/2  - 4/2

        C = 2B  - 2 -------------(a)

Plugin the C = 2B - 2 in (II)

A = C +  9

A = 2B - 2 + 9

A = 2B + 7 ------------------(b)

Plugin the value of A & C from (a) & (b) in equation (I)

A + B + C = 75

2B + 7 + B + 2B - 2 = 75

Add the like terms

2B + B + 2B + 7 - 2 = 75

5B + 5 = 75

5B = 75 - 5

5B = 70

B = 70/5

B = 14

Plug in B value in equation (a)

C = 2B - 2

C = 2*14 -2

  = 28 - 2

C = 26

Plugin B value in equation (b)

A = 2B + 7

  = 2*14 + 7

 = 28 + 7

A = 35

State A has hosted 35 times

State B has hosted  14 times

State C has hosted 26 times


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(1 point) Consider the system
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Answer:

a=-4

Step-by-step explanation:

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Use the distributive property to fill in the blanks below.

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Answers

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

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Answers

can you please add a picture?

Answer:

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<EFH

<KLJ

Step-by-step explanation:

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Answers

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The Booster Club has a goal of raising at least $300. The Club has already raised $175. The Booster Club is
sponsoring a pancake breakfast and charging $3.00 per ticket.
What inequality would represent the number of tickets (t) that the Booster Club must sell to meet its goal?

Answers

Answer:

 

You have got

to start thinking bee, my friend.

 

- Thinking bee!

- Me?

 

Hold it. Let's just stop

for a second. Hold it.

 

I'm sorry. I'm sorry, everyone.

Oan we stop here?

 

I'm not making a major life decision

during a production number!

 

All right. Take ten, everybody.

Wrap it up, guys.

 

Step-by-step explanation:

 

You have got

to start thinking bee, my friend.

 

- Thinking bee!

- Me?

 

Hold it. Let's just stop

for a second. Hold it.

 

I'm sorry. I'm sorry, everyone.

Oan we stop here?

 

I'm not making a major life decision

during a production number!

 

All right. Take ten, everybody.

Wrap it up, guys.

 

175+3t≥300 is the inequality would represent the number of tickets (t) that the Booster Club must sell to meet its goal

What is Inequality?

a relationship between two expressions or values that are not equal to each other is called 'inequality.

Given that The Booster Club has a goal of raising at least $300.

The Club has already raised $175

The Booster Club is sponsoring a pancake breakfast and charging $3.00 per ticket.

175+3t≥300

One hundred seventy five plus three times t greater than or equal to three hundred.

We have used greater than or equal to in inequality because in data given atleast.

Hence, 175+3t≥300 is the inequality would represent the number of tickets (t) that the Booster Club must sell to meet its goal

To learn more on Inequality click:

https://brainly.com/question/28823603

#SPJ2

10 friends share six pizzas equally. What fraction of a pizza does each friend get?

Answers

Answer:

10 friend=6 pizza now,

1 friend gets =10÷6

=5÷3

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Answers

Step-by-step explanation:

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Solve for x.
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Enter your answer as a fraction in simplest form in the box.
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Answers

Answer:

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Step-by-step explanation:

[tex]-2 (x + 1/4)+1=5\\\\-2\left(x+\frac{1}{4}\right)+1=5\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\\\-2\left(x+\frac{1}{4}\right)+1-1=5-1\\\\Simplify\\-2\left(x+\frac{1}{4}\right)=4\\\\\mathrm{Divide\:both\:sides\:by\:}-2\\\frac{-2\left(x+\frac{1}{4}\right)}{-2}=\frac{4}{-2}\\\\Simplify\\x+\frac{1}{4}=-2\\\\\mathrm{Subtract\:}\frac{1}{4}\mathrm{\:from\:both\:sides}\\\\x+\frac{1}{4}-\frac{1}{4}=-2-\frac{1}{4}\\\\Simplify\\x=-\frac{9}{4}\\\\x = -2\frac{1}{4}[/tex]

a what are the odds in favor of drawing a black 7​ in a deck of cards?
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Answers

Answer:

a. 1/25

b. 25/1

Step-by-step explanation:

There are 2 black 7s in a deck (7 of spades and 7 of clubs).  So there are 50 cards that are not black 7s.

The odds in favor of drawing a black 7 is therefore 2/50 = 1/25.

The odds against drawing a black 7 is therefore 50/2 = 25/1.

A claim is made that expression 1 and expression 2 are equivalent. A student is asked to provide proof that the claim is true.
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Expression 2: 18y−8x
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A
They could multiply expression 2, (18y−8x) by −3 and then compare their result to expression 1.

B
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C
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D
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E
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Answers

Answer:

The answer is B

Answer:

The answer is B and A

Step-by-step explanation:

The owner of an appliance store bought 15 washers at $279 each and 18 dryers at $229 each. How much did the dealer spend in all?

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

279$ x 15 = 4185$

229$ x 18 = 4122$

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A building is 1 ft from a 11-ft fence that surrounds the property. A worker wants to wash a window in the building 14 ft from the ground. He plans to place a ladder over the fence so it rests against the building. He decides he should place the ladder 9 ft from the fence for stability. To the nearest tenth of a foot, how long a ladder will he need

Answers

Answer:

17.2 feet

Step-by-step explanation:

The ladder is placed 9 feet away from the fence, which is 1 foot away from the building. Therefore, the ladder is [tex]9+1=10[/tex] feet away from the building.

We know that the window is 14 feet above ground.

We now have a triangle which we need to find the hypotenuse of.

  /|      

/  |   14  

/_|

10

To find the hypotenuse, we can use the Pythagorean Theorem. This states that [tex]a^2+b^2=c^2[/tex], where a and b are the legs of a triangle and c is the hypotenuse.

The legs are 10 and 14, so lets substitute inside the equation.

[tex]10^2 + 14^2 = c^2\\\\100+196=c^2\\\\296=c^2\\\\c = \sqrt{296}\\\\c \approx 17.2[/tex]

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In the diagram of circle A, what is the measure of
ZXYZ?
35°
70°
75°
140°

Answers

Using the intersecting secant theorem:

Angle xyz = 1/2( wz- XX)

Xyz = 1/2(175-105)

Xyz = 1/2(70)

Xyz= 35

The answer is 35 degrees

The measure of <XYZ is 35 degrees

Circle geometry

To find the measure of<XYZ, we will use the expression as shown below:

The angle at the vertex is half the difference of the intercepted arcs

<XYZ = 1/2(175 - 105)

<XYZ = 1/2(70)
<XYZ = 35 degrees

Hence the measure of <XYZ is 35 degrees

Learn more on geometry here: https://brainly.com/question/24375372

Describe how the graph of y= x2 can be transformed to the graph of the given equation. y = x2 + 13 Shift the graph of y = x2 right 13 units. Shift the graph of y = x2 left 13 units. Shift the graph of y = x2 down 13 units. Shift the graph of y = x2 up 13 units.

Answers

The line will move 13 units up

An insurance company offers two types of insurance: health insurance and life insurance. Let X be the annual claim on the health insurance and Y be the annual claim on the life insurance. The joint density function of X and Y is: Find the probability that the total claims exceed 0.5 but is less than 2 and the claim on the life insurance is less than 1.5.

Answers

The joint density equation is missing in the question. The equation is [tex]f(x,y)=\left\{\begin{matrix}2x^3, 0\leq x\leq 1,0\leq y\leq 2\\ 0, \text{ otherwise}\end{matrix}\right.[/tex]

Probability is 0.59

Step-by-step explanation:

We have

x -- denotes the annual claim health insurance

y -- denotes the annual claim life insurance

And joint density of x and y is given to us

[tex]f(x,y)=\left\{\begin{matrix}2x^3, 0\leq x\leq 1,0\leq y\leq 2\\ 0, \text{ otherwise}\end{matrix}\right.[/tex]

Event that the claim exceeds 0.5 but less than 2 can be written as 0.5≤ x+y ≤2

and claim of life insurance less than 1.5 can be written as 0 ≤ y ≤ 1.5

Required probability

= P( 0.5≤ x+y ≤2  ∩ 0 ≤ y ≤ 1.5 )

Lets plot this, to find the common region

For common region

when 0≤ x ≤ 0.5, then 0.5 ≤ y ≤ 1.5  ---- for region I

when 0.5≤ x ≤ 1, then 0 ≤ y ≤ 2-x  ---- for region II

The required probability

= [tex]\int_{0}^{0.5} \int_{0.5-x}^{1.5}2x^3 dy dx+\int_{0.5}^{1} \int_{0}^{2-x}2x^3 dy dx[/tex]

= [tex]\int_{0}^{0.5} 2x^3[\int_{0.5-x}^{1.5}dy] dx+\int_{0.5}^{1} 2x^3[\int_{0}^{2-x}dy] dx[/tex]

= [tex]\int_{0}^{0.5} 2x^3(1.5-0.5+x) dx+\int_{0.5}^{1} 2x^3 (2-x) dx[/tex]

= [tex]\int_{0}^{0.5}2x^3 dx+\int_{0}^{0.5}2x^4 dx+\int_{0.5}^{1}4x^3 dx-\int_{0.5}^{1}2x^4[/tex]

= [tex][\frac{2x^4}{4}]_0^{0.5}+[\frac{2x^5}{5}]_0^{0.5}+[\frac{4x^4}{4}]_{0.5}^1-[\frac{2x^5}{5}]_{0.5}^1[/tex]

= [tex]$\frac{1}{32}+\frac{1}{80}+\frac{1}{16}-\frac{31}{20}$[/tex]

= 19/32

=0.59    

is 5x-7+3x and 3x-7+5x equivalent

Answers

Answer:

yes

Step-by-step explanation:

5x-7+3x =8x-7

3x-7+5x=8x-7

Since both result are the same, hence the functions are equal

Given the functions 5x-7+3x and 3x-7+5x, we are to check if the functions are equal.

For the function

5x-7+3x

= 5x+ 3x - 7

= 8x - 7

For the function 3x - 7 + 5x

Collect the like terms

3x + 5x - 7

8x - 7

Since both results are the same, hence the functions are equal

Learn more here: https://brainly.com/question/11496139

what is the answer to 0.15 = y - 0.45

Answers

Answer:

0.6

Step-by-step explanation:

Divide. 1/3 ÷ 4/5 Express your answer in simplest form. Enter your answer in the box.

Answers

1/3 divided by 4/5 = 5/12

Salvador runs 24.5 miles per week. How many miles does he run each day?

Answers

Answer:

3.5 miles per day

Step-by-step explanation:

There are 7 days in a week

24.5 miles in a week

24.5 / 7 days

3.5 miles per day

Answer:

3.4 miles

Step-by-step explanation:

You would divide 24.5 by 7 since there are 7 days in a week giving you a quotient of 3.5

SOMEONE HELP PLEASE.............

What is the x-coordinate of the solution of the following system of equations?

3x + y = 6
x - y = 6

A. -3
B. 0
C. 3​

Answers

Answer:

(3,-3) or x = 3

Step-by-step explanation:

I solved this problem with the help of graphing, you would start by sketching each equation. The x-value of the point where both equations intersect would be solution to your equations.

1/2x=14
Help please I’ve been stuck on this how do I check it?

Answers

Divided both sides by 1/2
1/2x/(1/2)=14/(1/2)
x=14/(1/2)=14/0.5=28
The answer will be x=28

What’s this I need help with math...

Answers

Answer:

3^12 = 531441

Step-by-step explanation:

For this problem, it's important to understand what is meant by the exponents. Notice, there are two sets of separators, a parentheses and a bracket. When you have powers to powers you multiply, hence 2 * 3 * 2 is 12. The given expression can also be broken down like this:

[ ( 3^2 ) ^ 3 ] ^ 2

= [ 3^2 * 3^2 * 3^2 ] ^ 2

= 3^2 * 3^2 * 3^2 * 3^2 * 3^2 * 3^2

And we can apply the rule, when you are multiply powers of like bases you add the exponents. Hence:

3 ^ (2 + 2 + 2 + 2 + 2 + 2)

= 3^12

Either way of power manipulation, you end with the same result of 3^12. Hope this helps.

Cheers.

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