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3 years ago

Question

Mathematics

1 answer:

const2013 [10]3 years ago

4 0

9514 1404 393

Answer:

Step-by-step explanation:

Let p, d, r represent the numbers of premium, deluxe, and regular tickets sold, respectively.

p + d + r = 155 . . . . . . . number of tickets sold

8p +3d +r = 409 . . . . . revenue from tickets sold

d - p = 19 . . . . . . . . . . . relation between deluxe and premium tickets

Using the third equation, we can substitute d=19+p in the other two equations.

p + (19+p) +r = 155

8p +3(19+p) +r = 409

Subtracting the first of these equations from the second, we get ...

(11p +r +57) -(2p +r +19) = (409) -(155)

9p = 216 . . . . . . subtract 38 and simplify

p = 24 . . . . . . . . divide by 9

24 premium tickets were sold.

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A pencil box in the shape of a rectangular prism measures 3 inches by 4 inches by 12 inches. What is the length of the longest p

stepan [7]

Answer:

(square root of 160)in

Step-by-step explanation:

the longest 2 sides are 4 and 12

4^2 + 12^2 = c^2

16+144=c^2

160=c^2

c = square root of 160

4 0

3 years ago

12x + 8 + 84 = 15х +9

RideAnS [48]

Answer:

x = 83/3.

Step-by-step explanation:

12x + 8 + 84 = 15х +9

Solving for x:

8 + 84 - 9 = 15x - 12x

83 = 3x

x = 83/3.

3 0

3 years ago

Read 2 more answers

Six times the product of eleven and two

Pie

11x2=22

22x6=132

I believe the answer is 132

8 0

3 years ago

X² - xy = 0<br> x + y = 1

wolverine [178]

Answer:

(0, 1 ) and ( $\frac{1}{2}$ , $\frac{1}{2}$ )

Step-by-step explanation:

Given the 2 equations

x³ - xy = 0 → (1)

x + y = 1 → (2) ( subtract x from both sides )

y = 1 - x → (3)

Substitute y = 1 - x into (1)

x² - x(1 - x) = 0

x² - x + x² = 0

2x² - x = 0 ← factor out x from each term on the left side

x(2x - 1) = 0

Equate each factor to zero and solve for x

x = 0

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = $\frac{1}{2}$

Substitute these values into (3) for corresponding values of y

x = 0 : y = 1 - 0 = 1 ⇒ (0, 1 )

x = $\frac{1}{2}$ : y = 1 - $\frac{1}{2}$ = $\frac{1}{2}$ ⇒ ( $\frac{1}{2}$ , $\frac{1}{2}$ )

3 0

3 years ago

Three corporations each own land. Corporation A owns 3.2 × 105 acres, corporation B owns 4 × 104 acres, and corporation C owns 4

elena-14-01-66 [18.8K]

First of all, we know that
Corporation A owns 3.2 × 10^5 acres
Corporation B owns 4×10^4 acres
Corporation C owns 4.3×10^5 acres
To compare which corporation owns the most land, we need to have the same unit of exponent which is 10^4, so we need to change Corporation A and Corporation C:
Corporation A: 3.2×10^5
Corporation A: 32×10^4
Corporation C: 4.3×10^5
Corporation C: 43×10^4
In this case, compare all three corporation. We see that Corporation C owns the most land.
Lastly,
To find “ How many times greater is corporation A’s land than corporation B’s land ", take:
Corporation A / Corporation B
=32×10^4/4×10^4
=32/4×10^4/10^4
=8×10^4-4
=8×10^0
=8×1
=8 times is your final answer. Hope it help!

5 0

4 years ago

Read 2 more answers