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Georgia [21]
4 years ago
12

As of a certain​ date, there had been a total of 14,404 performances of two shows on​ Broadway, with 2384 more performances of S

how A than Show B. How many performances were there of each​ show?
Mathematics
1 answer:
Llana [10]4 years ago
4 0

Answer: show A had 8394 performances.

Show B had 6010 performances.

Step-by-step explanation:

Let x represent the number of performances of show A.

Let y represent the number of performances of show B.

As of a certain​ date, there had been a total of 14,404 performances of two shows on​ Broadway. This means that

x + y = 14404 - - - - - - - - - -1

There was 2384 more performances of Show A than Show B. It means that

x = y + 2384

Substituting x = y + 2384 into equation 1, it becomes

y + 2384 + y = 14404

2y = 14404 - 2384

2y = 12020

y = 12020/2

y = 6010

x = y + 2384 = 6010 + 2384

x = 8394

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ale4655 [162]

Answer:

ya you can take it both like integer and decimal

cause - the negative mark make it negative the . make it decimal

3 0
3 years ago
plzzz help A model train is on a track 100 cm from its starting point. Turning a switch displaces the train either forward or ba
Ad libitum [116K]

Answer: B.  |x-100| = 25

Explanation:

Draw out a number line. Mark 75, 100 and 125 on the number line as points A, B, and C in that order. Don't worry about the spacing.

The value of x represents where the train is. So if we had say x = 85, then it would be at location 85 on the number line. Writing |x-100| is the distance from x to 100. The absolute value ensures the distance is never negative. We want this distance to be 25 because after traveling 25 cm, the switch is turned, and the train goes the other way.

6 0
3 years ago
The cost for hiring a car for 2 days in 2018 was Rs. 264 which was 20% more than in 2013. What was the cost of hiring a car for
Goshia [24]

The cost of hiring a car for 2 days in 2013 is Rs. 316.8

<h3>How to find the cost of hiring in 2013 ?</h3>

The cost for hiring a car for 2 days in 2018 was Rs. 264 which was 20% more than in 2013.

Therefore,

cost of hiring for 2018 = Rs. 264

Therefore,

let

cost of hiring in 2013 = 20%(264) + 264

cost of hiring in 2013 = 20 / 100 × 264 + 264

cost of hiring in 2013 = 1 / 5 × 264 + 264

cost of hiring in 2013 = 264 / 5 + 264

cost of hiring in 2013 = 52.8 + 264

cost of hiring in 2013 = 316.8

Therefore, the cost of hiring a car for 2 days in 2013 is Rs. 316.8.

learn more on cost here: brainly.com/question/1663590

#SPJ1

7 0
2 years ago
Please help fast Prefer A Expert or Above to Help Me out it’s the bottom one!
erastova [34]
<h3>Answer: 45</h3>

The value is approximate.

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

Explanation:

Focus on the upper triangle.

Label the unknown horizontal side as y

Use the pythagorean theorem to solve for y

a^2+b^2 = c^2

10^2 + y^2 = 26^2

100+y^2 = 676

y^2 = 676-100

y^2 = 576

y = sqrt(576)

y = 24

-----------

Now move to the bottom triangle

With respect to the reference angle, the side y = 24 is opposite this. The hypotenuse is unknown.

Use the sine rule to connect the two and solve for x

sin(angle) = opposite/hypotenuse

sin(32) = y/x

sin(32) = 24/x

x*sin(32) = 24

x = 24/sin(32)

x = 45.2899179551967 which is approximate

x = 45 rounding to the nearest whole number

Side x is approximately 45 cm long.

Note: make sure your calculator is in degree mode.

7 0
3 years ago
How do i find the answer to this:<br><br> exponential equation 2^(x-4)=3^(2x)
qaws [65]
What area of math is this,I may be able to help?
4 0
3 years ago
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