at a sport banquett 8 guests are seated at each of the 15 tables how many guests (x) are seated at the table

Mathematics

2 answers:

Novosadov [1.4K]3 years ago

7 0

Answer:

120

Step-by-step explanation:

15x8=120 so that the answer

viktelen [127]3 years ago

5 0

Answer:

120

Step-by-step explanation:

15 times 8 is 120

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Triangle ABC has measures a equals 2 b equals 2 and angle a equals 30 degrees what is the measure of angle B

Stella [2.4K]

<h2>Hello!</h2>

The answer is: Angle B is 30°

Since we know that both sides, a and b are equal to 2, and angle A is equal to 30°, we can conclude that angle B is also equal to 30°. Also, we can know that the other angle (C) will be equal to 120° since the sum of all the angles in a triangle will be always equal to 180°.

Have a nice day!

4 0

2 years ago

let a,b,c,d be four integers (not necessarily distinct) in the set {1,2,3,4,5}. the no. of polynomials x^4+ax^3+bx^2+cx+d which

Eddi Din [679]

By either long or synthetic division, it's easy to show that

$\dfrac{x^4+ax^3+bx^2+cx+d}{x+1}=x^3+(a-1)x^2+(-a+b+1)x+(a-b+c-1)-\dfrac{a-b+c-d-1}{x+1}$

The quartic will be exactly divisible by $x+1$ when the numerator of the remainder term vanishes, or for those values of $a,b,c,d$ such that

$a-b+c-d-1=0$

I'm not sure how to count the number of solutions (software tells me it should be 80), but hopefully this is a helpful push in the right direction.

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3 years ago

Angel has finished 75% of an art project that has taken

oksano4ka [1.4K]

Answer: 12 hours

Step-by-step explanation: For this problem we will write a percent equation to solve for 100% and how many total hours it will take angel to finish the entire project.

Lets write a equation to solve for w, total amount of hours.

9/w = 75/100

9/w x w = 75/100 x w

9 = 75w/100

9 x 100/75 = 75w/100 x 100/75

w = 12

So, it will take Angel 12 hours to finish his entire project.

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3 years ago

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saveliy_v [14]

$(2^2)^{-3}=4^{-3}=\dfrac{1}{4^3}=\dfrac{1}{64}\\\\Used\ a^{-n}=\dfrac{1}{a^n}$