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dolphi86 [110]
3 years ago
7

Mai purchased a prepaid phone card for $20. Long distadnce calls cost 8 cents a minute using this card. Mai used her card only o

nce to make a long distance call. If the remaining credit on her card is $16.16, how many minutes did her call last?
Mathematics
2 answers:
pashok25 [27]3 years ago
8 0

Answer

48 minutes and 2 sec

Step-by-step explanation:

so every minute cost 8 cents so i toke the 20$ and kept subtracting 8 cents from it until i got to 16.14 and i knew i couldn't subtract another 8 cents because that would've been below 16.16 so i just added 2 sec and it gave me 16.16 and i counted all of the minutes. i hope i gave u the right answer because i tried and i´m  very bad at math lol.

Leno4ka [110]3 years ago
3 0

I'm not really good at math but I would like to help.

If each call is $.08, then the card can call last for 250 minutes.

The call lasted 202 minutes. Divide 16.16 by .08.

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What is the justification for the step taken from line 2 to line 3?
stiv31 [10]

Step-by-step explanation:

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  • In the line 2, only variables were operated with a reduction of similar terms in each side of the equation, giving as result -4x at one side, and 2x at the other side.
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3 years ago
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The school band has 115 members. They are raising money for band camp. If each member raises $75, what is the total amount of mo
Kaylis [27]

Answer:

a. $8625

Step-by-step explanation:

So there are 115 members and they each raise $75.

That means one member would raise $75, the second member would raise another $75, the third would raise another $75 etc....

So you just have to multiply 115 and 75 together and that gives you $8625

6 0
3 years ago
An object is launched from a launching pad 144 ft. above the ground at a velocity of 128ft/sec. what is the maximum height reach
ollegr [7]

Answer:

18) a. h(x) = -16x² + vx + h(0) ⇒ h(x) = -16x² + 128x + 144

b. The maximum height = 400 feet

c. Attached graph

19) The rocket will reach the maximum height after 4 seconds

20) The rocket hits the ground after 9 seconds

Step-by-step explanation:

* Lets study the rule of motion for an object with constant acceleration

# The distance S = ut ± 1/2 at², where u is the initial velocity, t is the time

  and a is the acceleration of gravity

# The vertical distances h in x second is h(x) - h(0), where h(0)

   is the initial height of the object above the ground

∵ h(x) = vx + 1/2 ax², where h is the vrtical distance, v is the initial

  velocity, a is the acceleration of gravity (32 feet/second²) and x

  is the time

18)a.

∵ The value of a = -32 ft/sec² ⇒ negative because the direction

   of the motion

  is upward

∴ h(x) - h(0) = vx - (1/2)(32)(x²) ⇒ (1/2)(32) = 16

∴ h(x) = vx - 16x² + h(0)

∴ h(x) = -16x² + vx + h(0) ⇒ proved

* Find the height of the object after x seconds from the ground

∵ h(0) = 144 and v = 128 ft/sec

∴ h(x) = -16x² + 128x + 144

b.

* At the maximum height h'(x) = 0

∵ h'(x) = -32x + 128

∴ -32x + 128 = 0 ⇒ subtract 128 from both sides

∴ -32x = -128 ⇒ ÷ -32

∴ x = 4 seconds

- The time for the maximum height = 4 seconds

- Substitute this value of x in the equation of h(x)

∴ The maximum height = -16(4)² + 128(4) + 144 = 400 feet

c. Attached graph

19)

- The object will reach the maximum height after 4 seconds

20)

- When the rocket hits the ground h(x) = 0

∵ h(x) = -16x² + 128x + 144

∴ 0 = -16x² + 128x + 144 ⇒ divide the two sides by -16

∴ x² - 8x - 9 = 0 ⇒ use the factorization to find the value of x

∵ x² - 8x - 9 = 0

∴ (x - 9)( x + 1) = 0

∴ x - 9 = 0 OR x + 1 = 0

∴ x = 9 OR x = -1

- We will rejected -1 because there is no -ve value for the time

* The time for the object to hit the ground is 9 seconds

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3 years ago
One side of a kite is 5 cm less than 2 times the length of another. If the perimeter is 14 cm, find the length of each side of t
Phoenix [80]
<h3>Answer:</h3>

D) 4 cm, 3 cm

<h3>Step-by-step explanation:</h3>

Let x represent the length of "another" side. Then "one side" can be represented by (2x -5 cm).

The perimeter of the kite is the sum of two sides of each length:

... P = 14 cm = 2(x) + 2(2x -5 cm)

Dividing by 2 and collecting terms, we have ...

... 7 cm = 3x -5 cm

... 12 cm = 3x

... 4 cm = x . . . . the length of "another" side

... 2(4 cm) -5 cm = 3 cm . . . . the length of "one side"

The two different side lengths are 4 cm and 3 cm.

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The table shows the pricing for four different brands of cat food.
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The answer to this question is D ( $0.18 ) per ounce:-)
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