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4 years ago

Which is more precise 42.7 cm or 427.0 mm

Mathematics

1 answer:

notsponge [240]4 years ago

3 0

427.0 mm is more precise.
feel free to ask any questions

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A Broadway theater has 800 seats, divided into orchestra, main, and balcony seating. Orchestra seats sell for $ 40 comma main

KatRina [158]

Answer:

<em>orchestra seats: main seats: balcony seats: 160: 400: 240</em>

Step-by-step explanation:

Let number of orchestra seats = x

Let number of main seats = y

Let number of balcony seats = z

As per given statement, total seats are 800

$x +y+z=800 ..... (1)$

Sales price of each orchestra seat = $40

Sales price of each main seat = $30

Sales price of each balcony seat = $20

If all the seats are sold, total revenue is $23200.

$\Rightarrow 40x + 30y+20z=23200 ...... (2)$

If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $ 20 comma 000.

$\Rightarrow 40\times \dfrac{x}{2} + 30y+20z=20000\\\Rightarrow 20x + 30y+20z=20000 ...... (3)$

Here, we have 3 variables and 3 equations. Let us solve them.

Subtracting Equation (3) from equation (2):

$\Rightarrow 20x = 3200\\\Rightarrow x = 160$

Putting value of x in equations (1) and (2):

Equation (1)

$\Rightarrow 160 +y+z=800\\\Rightarrow y+z=640 ...... (4)$

Equation (2)

$\Rightarrow 40\times 160 +30y+20z=23200\\\Rightarrow 30y+20z=16800\\\Rightarrow 3y +2z=1680 ...... (5)$

Equation (5) - 2 $\times$ Equation(4):

$\Rightarrow y =400$

Putting value of y in equation (4):

$400 +z = 640\\\Rightarrow z =240$

Hence, answer is:

<em>orchestra seats: main seats: balcony seats: 160: 400: 240</em>

4 0

3 years ago

The quotient of 45 and 4 2/5? What is the expression for that ?

Andru [333]

Answer:

Expression: $45$ ÷ $4\frac{2}{5}$

Answer: 45 ÷ $4\frac{2}{5}$ = $\frac{225}{22}$

3 0

3 years ago

What is (f . g) (x)?

sergeinik [125]

I think you’re answer is option 1: 3x^2+5.

Explanation:

Evaluate f(x^2+2) by substituting in the value of g into f.
f(x^2+2)=3(x^2+2)-1

Then apply distributive property.
f(x^2+2)=3x^2+3•2-1

Then multiply 3 by 2.
f(x^2+2)=3x^2+6-1

Then subtract 1 from 6.
f(x^2+2)=3x^2+5

6 0

3 years ago

Read 2 more answers

write a conjecture as to the number of sides as compared to the number of triangles formed when drawing diagonals from one verte

amm1812

1Answer:

Step-by-step explanation:

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3 years ago

Marge pulled out the four measuring cups in the kitchen drawer and for each one recorded the diameter and found the circumferenc

alukav5142 [94]

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