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OleMash [197]
3 years ago
15

Solve. 1. The Children's Theater can seat 1,575 people in 63 equal rows The can seat 2,048 people in equal rows. How many more o

r fewer people are seated in each row at the Bartell Theater than at the Children's Theater, if all the seats are filled at both theaters?
Mathematics
1 answer:
erma4kov [3.2K]3 years ago
6 0
At the Children's Theater, each row can seat 25 people. So, if there are 63 rows, there would be the total of 1,575 people.

At the Bartell Theater, which can seat 2,048 people, there are 64 rows. Each row can seat 32 people.

So, 7 more people are seated in each row at the Bartell Theater than at the Children's Theater.
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PLEASE HELP I BEG YOU!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
ruslelena [56]

Answer:

R1:   Given

R2:   Subtraction Property of Equality

R3:   Distribute Property

R4:   Addition Property of Equality

R5:   Division Property of Equality

Write a paragraph proof for the following conjecture: m∠1 + m∠2 = m∠4

Prove: m∠3 + m∠1 + m∠2 = 180°

Given: ∠1 + ∠2 = ∠ 4

∠4 + ∠3 must be 180° because they are supplementary

If ∠4 + ∠3 is 180, and ∠1 + ∠2 = ∠4, you can substitute ∠4 in the first equation for ∠1 + ∠2.

Hence, we arrive at the answer ∠1 + ∠2 + ∠3 = 180.

Plz mark brainliest:)

7 0
3 years ago
The graph below represents the solution set of which inequality?
natulia [17]

Answer:

option: B (x^2+2x-8) is correct.

Step-by-step explanation:

We are given the solution set as seen from the graph as:

(-4,2)

1)

On solving the first inequality we have:

x^2-2x-8

On using the method of splitting the middle term we have:

x^2-4x+2x-8

⇒  x(x-4)+2(x-4)=0

⇒ (x+2)(x-4)

And we know that the product of two quantities are negative if either one of them is negative so we have two cases:

case 1:

x+2>0 and x-4

i.e. x>-2 and x<4

so we have the region as:

(-2,4)

Case 2:

x+2 and x-4>0

i.e. x<-2 and x>4

Hence, we did not get a common region.

Hence from both the cases we did not get the required region.

Hence, option 1 is incorrect.

2)

We are given the second inequality as:

x^2+2x-8

On using the method of splitting the middle term we have:

x^2+4x-2x-8

⇒ x(x+4)-2(x+4)

⇒ (x-2)(x+4)

And we know that the product of two quantities are negative if either one of them is negative so we have two cases:

case 1:

x-2>0 and x+4

i.e. x>2 and x<-4

Hence, we do not get a common region.

Case 2:

x-2 and x+4>0

i.e. x<2 and x>-4

Hence the common region is (-4,2) which is same as the given option.

Hence, option B is correct.

3)

x^2-2x-8>0

On using the method of splitting the middle term we have:

x^2-4x+2x-8>0

⇒ x(x-4)+2(x-4)>0

⇒ (x-4)(x+2)>0

And we know that the product of two quantities are positive if either both of them are negative or both of them are positive so we have two cases:

Case 1:

x+2>0 and x-4>0

i.e. x>-2 and x>4

Hence, the common region is (4,∞)

Case 2:

x+2 and x-4

i.e. x<-2 and x<4

Hence, the common region is: (-∞,-2)

Hence, from both the cases we did not get the desired answer.

Hence, option C is incorrect.

4)

x^2+2x-8>0

On using the method of splitting the middle term we have:

x^2+4x-2x-8>0

⇒ x(x+4)-2(x+4)>0

⇒ (x-2)(X+4)>0

And we know that the product of two quantities are positive if either both of them are negative or both of them are positive so we have two cases:

Case 1:

x-2 and x+4

i.e. x<2 and x<-4

Hence, the common region is: (-∞,-4)

Case 2:

x-2>0 and x+4>0

i.e. x>2 and x>-4.

Hence, the common region is: (2,∞)

Hence from both the case we do not have the desired region.

Hence, option D is incorrect.




5 0
3 years ago
NEED HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
vodomira [7]
Y=5/2x-20
There’s answer
6 0
3 years ago
IF SOMEONE COULD HELP WITH THIS IT WOULD BE MUCH APPRECIATED!
julsineya [31]

Answer:

48 Units

Step-by-step explanation:

Use the Pythagorean theorem to make two right triangles.

Ex= Base is cut in half to make two 9 unit bases

Then count the units from the half point.

Ex= 12 units long

Then use Pythagorean theorem to find one side of the 9-12 right triangle

Ex= 9^2+12^2=c^2

After finding that c=15 units, add all the sides back together

Ex= 18+15+15=48

4 0
3 years ago
Multiply the polynomials
valkas [14]

Answer:

the fourth one is the answer

15x^5 + 12x^4

you multiply the coefficients and add the exponents

8 0
3 years ago
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