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3 years ago

one evening 1500 concert tickets were sold for the Jazz Fest. Tickets cost $30 for covered pavillion seats and $10 for lawn seat

. Total reciepts were $27,000. How many of each type of ticket were sold?'

Mathematics

1 answer:

snow_lady [41]3 years ago

6 0

$x-number\ of\ tickets\ for\ pavilion\\1500-x-number\ of\ tickets\ for\ lawn\\\\30x+10(1500-x)=27000\\30x+15000-10x=27000\\30x-10x=27000-15000\\20x=12000\ \ \ \ \ \ \ \ |:20\\\\x=600\\1500-600=900$

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Find the missing angles

SashulF [63]

$\huge\bold{Given :}$

Angle a = 39°

Angle c = 123°

$\huge\bold{To\:find :}$

The measure of angle b.

$\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}$

∠ b = 18°

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}$

We know that,

$\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}$

➪ ∠ a + ∠ b + ∠ c = 180°

➪ 39° + ∠ b + 123° = 180°

➪ ∠ b + 162° = 180°

➪ ∠ b = 180° - 162°

➪ ∠ b = 18°

Therefore, the measure of ∠ b is 18°.

$\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}$

∠ a + ∠ b + ∠ c = 180°

✒ 39° + 18° + 123° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

$\boxed{Hence\:verified.}$

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6 0

3 years ago

y is directly proportional to x. When y = 30, x = 6 a) Work out an equation connecting y and x. b) Work out the value of y when

erica [24]

Answer:
y=5x (your equation)

y=60 (your answer)

Step by step explanation:
You are given two numbers, 6 and 30. Since 6 goes into 30, 5 times, then y(which is equal to 30) is equal to x(which is equal to 6) multiplied by 5, so you get your equation,

Y=5X

then you have to solve for y, so just substitute

Y=5(12)

And simplify

Y=60

And there’s your answer

5 0

3 years ago

In 2001, a company marketed 730,000 units of its product. In 2001 its yearly volume was 50% of its volume for 2004. The 2004 vol

kotykmax [81]

Answer:

4000 units

Step-by-step explanation:

In 2001 the total number of marketed units= 730,000

If this number represents 50% of what was marketed in 2004, then the total number of units marketed in 2004 was:

(100/50)× 730,000=1460000

To get the number for each of the 365 days in 2004 we divide the total for 2004 by 365

1460000/365= 4000 units