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den301095 [7]
3 years ago
14

There were 214 people at a concert. Main floor tickets cost $17 and balcony tickets cost $11 for a total of $2954. How may balco

ny tickets and how many main floor tickets were sold at the concert?
Mathematics
1 answer:
earnstyle [38]3 years ago
6 0
There is 100 $17 tickets no 114 $11 tickets
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Look at the right-angled triangle ABC.
olga_2 [115]

Answer:

∠x = 90°

∠y = 58°

∠z = 32°

Step-by-step explanation:

he dimensions of the angles given are;

∠B = 32°

Whereby ΔABC is a right-angled triangle, and the square fits at angle A, we have;

∠A = 90°

∠B + ∠C = 90° which gives

32° + ∠C = 90°

∠C = 58°

∠x + Interior angle of the square = 180° (Sum of angles on a straight line)

∠x + 90° = 180°

∠x = 90°

∠x + ∠y + 32° = 180° (Sum of angles in a triangle)

90° + ∠y + 32° = 180°

∠y = 180 - 90° - 32° = 58°

∠y + ∠z + Interior angle of the square = 180° (Sum of angles on a straight line)

58° + ∠z +90° = 180°

∴ ∠z = 32°

∠x = 90°

∠y = 58°

∠z = 32°

8 0
2 years ago
Add 3/7 + 8/9 . Simplify the answer and write as a mixed number
Fudgin [204]
You will get both of the fractions over the same denominator, so it will be 27/63 and 56/63, then you will add the two numerators, so it will then come out to 83/63, and you will then simplify that by subtracting 63 from 83, and will get 1  20/63
5 0
3 years ago
Determine whether the events are independent or dependent: selecting a jellybean and then choosing a second jellybean without re
soldi70 [24.7K]
Dependent, because you're changing the probability
6 0
2 years ago
Find the inverse of f(x)=−3/2x+7/2.
timama [110]

Answer: f^{-1}(x)=-\frac{2}{3}x+\frac{7}{3}

Step-by-step explanation:

To find the inverse of a function, you want to replace x with y and y with x. Then, you solve for y.

y=-\frac{3}{2}x+\frac{7}{2}                       [replace y with x and x with y]

x=-\frac{3}{2}y+\frac{7}{2}                       [subtract both sides by 7/2]

x-\frac{7}{2} =-\frac{3}{2}y                       [multiply both sides by -2/3]

-\frac{2}{3} (x-\frac{7}{2} )=y                     [distribute]

y=-\frac{2}{3}x+\frac{7}{3}

Now, we have our inverse function.

f^-^1(x)=-\frac{2}{3}x+\frac{7}{3}

7 0
3 years ago
A chess club has 500 members but is losing 30 members each year. A computer club has 130 members and is gaining 20 members per y
zhannawk [14.2K]
Equation:
500-30x=130+20x
Since you want to find when they are the same, you put an equal sign. Also, since one is gaining and the other is losing, you have an addition and subtraction sign.
Solution:
370= 50x
x=7.4
Answer:
After 7.4 years, the clubs will have the same members, which is 278 members.
Tell me if this helps!!

7 0
2 years ago
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