Show A and Show B are two of the most popular television shows of all time. The number of episodes of each show are consecutive even integers whose sum is 570. If there are more episodes of Show A, how many episodes of each were there?

Answers

Answer 1

Answer:

A = 286 episodes

B = 284 episodes

Step-by-step explanation:

Let n = the [tex]\text{number of episodes}[/tex] of show B

    n + 2 = the [tex]\text{number of episodes}[/tex] of show A

Therefore, according to the question,

The sum of the number of the episodes of each show are consecutive even integers  = 570

Therefore,

n + n + 2 = 570

2n + 2 = 570

2n = 568

n = 284

Therefore, the number of episodes for B = 284

The number of episodes for A = n + 2 = 284 + 2

                                                              = 286


Related Questions

With a certain medical insurance​ policy, the customer must first pay an annual ​$250​deductible, and then the policy covers 70​% of the cost of​ x-rays. The first insurance claims for a specific year submitted by a person are for two​ x-rays. The first​ x-ray cost ​$700​, and the second​ x-ray cost ​$950. How​ much, in​ total, will he need to pay for these​ x-rays?

I got $345, but it's wrong.

Answers

Answer:

$495 (745 if you include the $250 deductible)

Step-by-step explanation:

70% of 700 is 490

700 - 490 = 210

70% of 950 is 665

950 - 665 = 285

210 + 285 = $495

Answer:

495

Step-by-step explanation:

70% of 700= 490

700 - 490= 210

70% of 950= 665

950 - 665= 285

Add them together

210 + 285= 495

The reason you might have gotten 345 is because you subtracted 495 with 250 but 250 is how much he has to pay for the medical insurance, not how much he also get off

A researcher wants to calculate the average variability from the mean of the scores in their normally-distributed data set. For each participant, they calculate a deviation score. The researcher then sums all the deviation scores together and is surprised to find that the average deviation from the mean in the group is zero. Which of the statements below is FALSE about this scenario?
A. Deviation scores can be used to calculate sum of squares, variability, and then standard deviation.
B. Approximately the deviation scores will be positive and half will be negative.
C. Deviation scores are calculated by subtracting the participant score from the mean.
D. Average deviation from the mean in the group must be squared to be meaningful.

Answers

Answer:

D. Average deviation from the mean in the group must be squared to be meaningful.

Step-by-step explanation:

The average variability from mean is not calculated with mean square of the selected group. The deviation scores calculated by subtracting participant score from the mean.  

HELP PLEASE!!! 5-6! Help!!!

Answers

Answer:

Step-by-step explanation:

5

      x + y = 5 => x = 5 - y

     y - 4 = - x

=> y - 4 = - ( 5 - y)

=> y - 4 = - 5 + y

=>4 = 5 , not true

So, no solution => system is inconsistent

6

option b

Explanation just as above.

Gasoline sells for 1.3 euros per liter. What is the price in US dollars per gallon? (recall that 1 gal = 3.785 L)

British pound is 1.212 to 0.8251 USD

Answers

4.67 $/gal is the price of gasoline.

Step-by-step explanation:

Given:

Price of gasoline = 1.3 €/L

1 gallon is equals to 3.785 Liters

1 euros is equals to  0.9497 US dollars

To find:

The price of gasoline in US dollars per gallon

Solution:

Price of the gasoline = 1.3 €/L

[tex]1 gal = 3.785 L\\1L=\frac{1}{3.785} gal\\ 1.3 euro /L=\frac{1.3 euro }{\frac{1}{3.785 }gal}\\=\frac{1.3 euro \times 3.785 }{1 gal}=4.9205 euro /gal[/tex]

Now convert euros to US dollars by using :

1 euros = 0.9497 $

The price of gasoline in US dollar per gallons:

[tex]4.9205 euro/gal=4.9205 \times 0.9497 \$/gal\\=4.6730 \$/gal\approx 4.67 \$/gal[/tex]

4.67 $/gal is the price of gasoline.

Learn more about conversions:

brainly.com/question/13076223

brainly.com/question/2904463?referrer=searchResults

Triangle KLM is similar to triangle NOP. Find the measure of side OP. Round your answer to the nearest tenth if necessary

Answers

Answer:

OP = 43.7

Step-by-step explanation:

since the triangle is similar use these ratios.

LM/OP = LK/ON

9/OP = 7/34

do cross multiplication

OP*7 = 34*9

OP = 306/7

OP = 43.71

OP = 43.7

Answer:

OP = 50

because that is the answer

I need help finding x please?

Answers

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:find}}{\blue{:}}}}}[/tex]

The value of [tex]x[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\longrightarrow{\green{x\:=\: 25° }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

We know that,

[tex]\sf\purple{Sum\:of\:angles\:on\:a\:straight\:line\:=\:180°}[/tex]

➪ 125° + [tex]x[/tex] + 30° = 180°

➪ [tex]x[/tex] + 155° = 180°

➪ [tex]x[/tex] = 180° - 155°

➪ [tex]x[/tex] = 25°

Therefore, the value of [tex]x[/tex] is 25°.

Now, the three angles of the triangle are 125°, 25° and 30°.

[tex]\large\mathfrak{{\pmb{\underline{\pink{To\:verify}}{\pink{:}}}}}[/tex]

✒ 125° + 25° + 30° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

[tex]\boxed{Hence\:verified.}[/tex]

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{ヅ}}}}}[/tex]

If we create a circle around the line it will equal 360. Half of the circle must equal 180. For the straight line we have 125 and 30. To get 180 we need a certain number. 180-155=25. The number that we are searching for is 25.

Select the correct answer.
What is the domain of y= tan x?

Answers

Answer:

π/2 + n*π

Step-by-step explanation:

All real numbers except π/2 + n*π

Answer:

Step-by-step explanation:

For some problems, stating the domain actually means to identify what x CANNOT be as opposed to what x IS. This occurs with tangent and cotangent functions along with rational functions.

As far as the tangent function goes, look at your unit circle. Your unit circle gives you 2 values for each angle, the first value reflects the cosine of the angle and the second value reflects the sine of the angle. This is because cosine is directly related to the x values and sine is directly related to the y values; cos goes into the "x" position and sin goes into the "y" position inside the brackets just like x and y go into parenthesis for coordinates. Anyway, a ratio is undefined if the denominator equals 0, right? And since tangent is the same as sin/cos, tangent is undefined when cos is 0. This occurs at [tex]\frac{\pi}{2}+k\pi[/tex] . That means that tangent does NOT exist at pi over 2 and every integer of pi you add in after. Let's look at a couple of examples of how that domain "works". Adding in an integer means adding in 1, 2, 3, etc. If the domain of tangent is undefined at [tex]\frac{\pi}{2}+k\pi[/tex], then let's let k = 1, and

[tex]\frac{\pi}{2}+1\pi=\frac{\pi}{2}+\frac{2\pi}{2}=\frac{3\pi}{2}[/tex] . Now let k = 2:

[tex]\frac{\pi}{2}+2\pi=\frac{\pi}{2}+\frac{4\pi}{2}=\frac{5\pi}{2}[/tex]. Now let k = 3:

[tex]\frac{\pi}{2}+ 3\pi=\frac{\pi}{2}+\frac{6\pi}{2}=\frac{7\pi}{2}[/tex]. And it continues like that.

You can see when you graph the tangent function in radian mode on your calculator that these values where tangent is undefined show up as asymptotes. Use your unit circle and your graphs to determine the domain of trig functions.

Find an expression which represents the difference when (102 + 8) is subtracted from (-8x - 10) in simplest terms.​

Answers

Answer:

18x + 18

Step-by-step explanation:

(10x + 8) – (-8x – 10)

(10x – (-8x)) + (8 – (-10))

(10x + 8x) + (8 + 10)

18x + 18

The sides of a square field are 24 meters. A sprinkler in the center of the field sprays a circular area with a diameter that corresponds to a side of the field. How much of the field is not reached by the sprinkler? Round your answer to the nearest hundredth. Use 3.14 for π.

Answers

Answer:

A

Step-by-step explanation:

i took the test

How many solutions are there to the equation below?
8(x-3) = 7x- 20

Answers

Answer:

x = 4 (ONE solution)

Step-by-step explanation:

This is a first order linear equation, so we can expect 1 solution.

Multiplying out the left side, we get:

8x - 24 = 7x - 20, which simplifies to:

x = 4 (ONE solution)

tính dz(0,1) của hàm ẩn (x,y) xác định bởi hệ thức x² + 2y + z = ye^x²

Answers

Answer:

???

Step-by-step explanation:

asaan ang sasagutan

27. Find the length of the segment LK. (G.CO.C.10)
Show your work! (2pts)
J
1
3x
L
K
X + 6
Click to add speaker notes

Answers

Answer:

9

Step-by-step explanation:

the only thing we can say for sure is that JL is splitting the triangle and also its baseline IK in half.

so, both sides of the baseline must be equal :

3x = x + 6

2x = 6

x = 3

=> LK = x + 6 = 3 + 6 = 9

A metallurgist has one alloy containing 24% aluminum and another containing 60% aluminum. How many pounds of each alloy must he use to make 44 pounds of a third alloy containing 47% aluminum?

Answers

Answer:

15 8/9 pounds of 24%

28 1/9pounds of 60%

Step-by-step explanation:

x = pounds of 24%

44 - x = pounds of 60%

24x + 60(44  - x) = 47(44)

24x + 2640 - 60x = 2068

-36x + 2640 = 2068

-36x = -572

x = 15 8/9

44 - x = 28 1/9

Rounded

15 8/9 pounds of 24%

28 1/9pounds of 60%

The two triangles illustrated below are similar. What are the values of x and y?

Answers

Answer:

[tex]{ \bf{by \: relations : }} \\ { \tt{ \frac{28}{7} = \frac{x}{8} }} \\ \\ { \tt{x = \frac{28 \times 8}{7} }} \\ x = 32 \\ \\ { \tt{y = 83 \degree}}[/tex]

3^4 +3 • 5= _. (Input whole numbers only.) Numerical Answers Expected!​ Please explain.

Answers

Answer:

96

Step-by-step explanation:

81+15=96

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{3^4 +3 \times5}\\\\\\\mathsf{3^4}\\\mathsf{= 3\times3\times3\times3}\\\mathsf{=9\times9}\\\mathsf{= \bf 81}\\\\\\\mathsf{81+5\times3}\\\\\mathsf{3\times5=\bf 15}\\\\\\\\\mathsf{81+15}\\\mathsf{= \bf 96}\\\\\\\boxed{\boxed{\large\textsf{Answer: \huge \bf 96}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Which statement best describes the areas and perimeters of the figures below?

Answers

Answer:

They have different areas and different perimeters

pls help, no rush I just get really stressed when I don't know the answer to a problem, pls explain ur reasons :)

Answers

9514 1404 393

Answer:

  2. correct

  3. addition property of equality

  4. substitution property of equality

Step-by-step explanation:

You're asked for the Reasons, so you need to examine the Statements to see how you get from one line to the next.

The first line of Statement 2 differs from Statement 3 in that m∠GHI has been added to both sides of the equation (ignoring the typo in statement 3). The reason you can add the same thing to both sides of an equation is given by the Addition Property of Equality.

Statement 3 differs from Statement 4 in that one of the m∠GHI has been replaced by m∠JKL. We can do this replacement because those measures are equal to each other. Replacement of equals by equals is allowed by the Substitution Property of Equality.

A corollary needs which of the following geometric terms to be proven true?

A. Theorem
B. Identity
C. Common notion
D. Inverse

Answers

Answer:

B. Identity

Step-by-step explanation:

can someone help me with this question

Answers

Answer:

its C or A bro

Step-by-step explanation:

A volleyball team wins 105 games, which is 70% of the games played. How many games were played?

The total number of games played is

Answers

Answer:

70/100 = 105/X ---> 70X = 10,500 ---> X = 150 games played.

Step-by-step explanation:

You don’t the total number of games let’s name it x.
70/100= 105/x
70x= 100 times 105
70x/70= 10500/70
X= 150.
So the total numbers of games is 150.

Một người gửi tiết kiệm tại ngân hàng một số tiền là 120 triệu đồng vào đầu mỗi năm theo thể thức lãi kép kỳ hạn một năm với lãi suất cố định 6,5%/ năm.
a) Hỏi sau 3 năm, số tiền gốc cộng lãi mà người đó nhận được là bao nhiêu ?
b) Hỏi sau bao nhiêu năm thì tổng số tiền nhận được lần đầu vượt quá 1,1 tỷ đồng.

Answers

Answer: lil t j

Step-by-step explanation:

I’m not a goat but I fit the description we walk around with then bands in my pocket

PLS HELP! The picture is down below

Answers

Answer: D
Please mark brainliest when you can

Is 9/54 equivalent to 1/3

Answers

Answer: No.

Step-by-step explanation:

9/54 is equal to 1/6

Answer:

no, it is not

Step-by-step explanation:

9/54 can be simplified by dividing both sides by 3, getting 3/18. you can do this again and get 1/6. significantly smaller that l/3

hello, i need help with this question

Answers

Answer:

a

Step-by-step explanation:

Find the product of −2+5i and its conjugate. The answer is a+bi where

Answers

Answer:

29

Step-by-step explanation:

The given complex number is -2+5i

We need to find the product of −2+5i and its conjugate.

The conjuagate of -2+5i is -2-5i

So, it will become,

[tex](-2+5i)(-2-5i)[/tex]

We know that,

[tex](a-b)(a+b)=a^2-b^2[/tex]

Here, a = -1 and b = 5i

[tex](-2+5i)(-2-5i)=(-2)^2-(5i)^2\\\\=4-25i^2\\\\=4-25(-1)\ \ (As\ i^2=-1)\\\\=4+25\\\\=29[/tex]

So, the values of a+bi is equal to 29.

The girls in Lana’s troop set a goal to sell 1,000 boxes of cookies this year. There are 13 girls in the troop. At least how many boxes of cookies should each girl sell to reach their goal?

Answers

Answer:

76.92 boxes each or round up to 77

Step-by-step explanation:

1000 ÷ 13 = 76.92

10 ft
8 ft
Find the area of this figure. Round your
answer to the nearest hundredth. Use
3.14 to approximate .
A = [ ? ] ft2
Nati

Answers

Well I think if I was a boy I would be a

give one reason why people loan money from the bank ​

Answers

Step-by-step explanation:

We borrow money because we want to buy something. It may be as large as a property or a car, or something smaller like furniture or a computer. We may borrow money to spend it on experiences. It may be something as large as a loan to travel the world, to something smaller, like using a credit card for a meal out.

Please help me steps please

Answers

to make it easier for you, kuta software has a y0ut0be channel and she posts all of the steps there! search up the name of the worksheet and it’ll be there

If you drive at a constant speed of 60 miles/hour find the time it would take to travel each of the distances in the following chart. Here are the formulas:

d = s ⋅t

or

t = ds

a. Find the time for each distance. Show your work for at least one trial.

Distance in Miles Time in Hours
10
20
30
40
50
60
b. Graph the points and label the axis



c. What does this graph mean?

Answers

Answer:

b bc it is i got it right

Step-by-step explanation:

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