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2 years ago

9

Plz answer :)

1 answer:

Lisa [10]2 years ago

5 0

Answer:

A. x + y > 30 8x + 10y ≥ 450

Step-by-step explanation:

x+y bunnies and puppies has to be greater than 30 (in amount)

the amount of money need to be greater than or equal to 450 for both x bunnies and y puppies.

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1/2(6+3p)-3/4(8-10p)<br>Expand and simplify <br>show all steps

olganol [36]

$\frac{6+3p}{2} - \frac{3}{4} (8 - 10p) \\ \\ \frac{6 + 3p}{2} - \frac{3(8-10p)}{4} \\ \\ \frac{6+3p}{2} - \frac{3 \times 2(4 - 5p)}{4} \\ \\ \frac{6+3p}{2} - \frac{6(4-5p)}{4} \\ \\ \frac{6+3p}{2} - \frac{3(4-5p)}{2} \\ \\ \frac{6+3p - 3(4-5p)}{2} \\ \\ \frac{3(2 +p - 4 + 5p}{2} \\ \\ \frac{3(2 + (p + 5p) - 4)}{2} \\ \\ \frac{3(2+6p-4)}{2} \\ \\ \frac{3 \times 2 (1 + 3p-2)}{2} \\ \\ \frac{3 \times 2(3p - 1)}{2} \\ \\ \frac{6(3p -1 }{2} \\ \\ 3(3p - 1) \\ \\ Answer: \fbox {3(3p-1)}$

7 0

2 years ago

Pluto's distance P(t)P(t)P, left parenthesis, t, right parenthesis (in billions of kilometers) from the sun as a function of tim

Xelga [282]

Answer: P(t) = 1.25.sin( $\frac{\pi}{3}$ .t) + 5.65

Step-by-step explanation: A motion repeating itself in a fixed time period is a periodic motion and can be modeled by the functions:

y = A.sin(B.t - C) + D or y = Acos(B.t - C) + D

where:

A is amplitude A=|A|

B is related to the period by: T = $\frac{2.\pi}{B}$

C is the phase shift or horizontal shift: $\frac{C}{B}$

D is the vertical shift

In this question, the motion of Pluto is modeled by a sine function and doesn't have phase shift, C = 0.

<u>Amplitude</u>:

a = $\frac{largest - smallest}{2}$

At t=0, Pluto is the farthest from the sun, a distance 6.9 billions km away. At t=66, it is closest to the star, P(66) = 4.4 billions km. Then:

a = $\frac{6.9-4.4}{2}$

a = 1.25

<u>b</u>

A time period for Pluto is T=66 years:

66 = $\frac{2.\pi}{b}$

b = $\frac{\pi}{33}$

<u>Vertical</u> <u>Shift</u>

It can be calculated as:

d = $\frac{largest+smallest}{2}$

d = $\frac{6.9+4.4}{2}$

d = 5.65

Knowing a, b and d, substitute in the equivalent positions and find P(t).

P(t) = a.sin(b.t) + d

P(t) = 1.25.sin( $\frac{\pi}{3}$ .t) + 5.65

The Pluto's distance from the sun as a function of time is

P(t) = 1.25.sin( $\frac{\pi}{3}$ .t) + 5.65

8 0

2 years ago

Diagonal cross-section of a sphere produces which two dimensional shape

Leni [432]

Every cross-section of a sphere will be a circle.

Answer: circle

Any further questions about this? Or how I got my answer?

7 0

2 years ago

As the number of pages in a photo book increases, the price of the book also increases. There is an additional shipping charge o

wlad13 [49]

Answer:

22

Step-by-step explanation:

Solve the inequality (20 + 0.5x) + 0.15(20 + 0.5x) ≤ $62.10 for x:

20 + .5x + 3 + 0.75x ≤ 62.10

Combining the x terms, we get:

20 + 3 + 1.25x ≤ 62.10.

Combining the constants on the left:

23 + 1.75x ≤ 62.10

Combining the constants:

1.75x = 39.10

Solving for x: 39.10/1.75 = 22.34

Thus, the max number of whole pages she can have in her book is 22.

4 0

2 years ago

A feather blew out of a bird nest 10 feet in the air. It drifted to the ground at a constant rate of 2 feet per second. Write an

bonufazy [111]

The answer would be 10/2=5

6 0

1 year ago