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Colt1911 [192]
3 years ago
9

Sisters Lisa and Melissa want to share equally the cost of a $609 lap top computer. How much should each girl pay?

Mathematics
1 answer:
Natali5045456 [20]3 years ago
3 0

Answer:

$304.5...........................

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Applications 24. A rocket is launched into the air. Its height in feet, after x seconds, is given by the equation The starting h
SVEN [57.7K]

The given function is

h(x)=-16x^2+300x+20

According to this function, the starting height of the rocket is 20 feet because that's the initial condition of the problem stated by the independent term.

Additionally, we find the maximum height by calculating the vertex of the function V(h,k).

h=-\frac{b}{2a}

Where a = -16 and b = 300.

\begin{gathered} h=-\frac{300}{2(-16)}=\frac{300}{32}=\frac{150}{16}=\frac{75}{8} \\ h=9.375 \end{gathered}

Then, we find k by evaluating the function

\begin{gathered} k=-16(9.375)^2+300(9.375)+20 \\ k=-1406.25+2812.5+20=1426.25 \end{gathered}

Hence, the maximum height is 1426.25 feet.

At last, to know the time need to hit the ground, we just use h=9.375 and we multiply it by 2

t=2\cdot9.375=18.75

Hence, the rocket hits the ground after 18.75 seconds.

6 0
1 year ago
Jill and Jack are exercising at a beach. They both start from the car park at one end of the beach. Jill runs at a constant spee
mina [271]

Jack is at (2/3) of the length of the beach (measuring from the point where they started).

<h3>How far along the beach will Jack be when JIll next passes him?</h3>

Let's think that the whole beach is like a line track of length L.

We know that when Jill completes reaches the end (one complete run) Jack only completed half of it.

So in the time that jill covers the distance L, Jack covers a distance of L/2. So the ratio of their speeds is 2:1 (Jill's speed is double of Jack's speed).

At this point, Jill is on the end of the track and Jack is on the middle, so the distance between them is L/2.

Because of the ratios between the speeds, we know that when they meet again, Jill will have covered 2 thirds of that distance, and jack will cover the other third of that distance.

A third of that distance is:

(L/2)/3 = L/6

So, when they meet, Jack is at L/6 of the middle of the beach, which means that Jack is:

L/2 + L/6 = 3L/6 + L/6 = 4L/6 = 2L/3

Jack is at (2/3) of the length of the beach (measuring from the point where they started).

If you want to learn more about distances:

brainly.com/question/4931057

#SPJ1

4 0
2 years ago
What value of x is in the solution set of 3(x – 4) ≥ 5x + 2?
Aleks04 [339]
3(x-4)>5x+2

3x-12>5x+2

Subtract 2

3x -10 > 5x

Subtract 3x

2x -10

divide 2

x=-5
9 0
3 years ago
Read 2 more answers
This trapezium is drawn on a centimetre grid.<br> Find the area of the trapezium.
sleet_krkn [62]

Answer:

A = 21 cm²

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = \frac{1}{2} h (b₁ + b₂ )

where h is the height between bases and b₁, b₂ are the parallel bases

Here h = 3, b₁ = 9, b₂ = 5 , then

A = \frac{1}{2} × 3 × (9 + 5) = 1.5 × 14 = 21 cm²

3 0
2 years ago
The perimeter of a basketball court is 84 meters length and 6 meters longer than twice the width.What is the length and width
GuDViN [60]
Perimeter is width times length. All you have to do is do x=84/4 and your answer is 21 for the length and for the width it s 6. x=504/6 =84. Good luck. 
5 0
3 years ago
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