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KatRina [158]
2 years ago
7

AT&T has a family plan of four lines for $125 and additional lines are $15 each per month. If Jason wants to spend at most $

200 per month on cell phone expenses, how many additional lines can he afford? Which inequality represent the given situation. please help for my final​

Mathematics
1 answer:
denis-greek [22]2 years ago
8 0

Given:

Cost of four lines = $125

Cost of each additional line = $15

Jason wants to spend at most $200 per month on cell phone expenses.

To find:

The inequality for the given situation.

Solution:

Let x be the number of additional line.

Cost of one additional line = $15

Cost of x additional line = \$15x

Total cost = Fixed cost + Addition cost

                = 125+15x

It is given that Jason wants to spend at most $200 per month on cell phone expenses. It means the total cost must be less than or equal to 200.

125+15x\leq 200

Therefore, the correct option is C.

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Natalka [10]

Answer:

They encircle the planet 3.76\times 10^{11} times.

Step-by-step explanation:

Consider the provided information.

We have 2.5 mole of dust particles and the Avogadro's number is 6.022\times 10^{23}

Thus, the number of dust particles is:

2.5\times 6.022\times 10^{23}=15.055\times 10^{23}

Diameter of a dust particles is 10μm and the circumference of earth is 40,076 km.

Convert the measurement in meters.

Diameter: 10\mu m\times \frac{10^{-6}m}{\mu m} =10^{-5}m

If we line up the particles the distance they could cover is:

15.055\times 10^{23}\times 10^{-5}=15.055\times 10^{18}=1.5055\times 10^{19}

Circumference in meters:

40,076km\times \frac{1000m}{1km}=40,076,000 m

Therefore,

\frac{1.5055\times 10^{19}}{40,076,000} = 3.76\times 10^{11}

Hence, they encircle the planet 3.76\times 10^{11} times.

8 0
2 years ago
Consider these numbers, ordered from least to greatest. Negative 1.8, negative 1 and one-fourth, negative 0.2, blank, one-half,
netineya [11]

Answer:

All

Step-by-step explanation:

7 1
2 years ago
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Lawrence has two part-time jobs one at the movie theater and wanted a pet store he's paid by the hour at each job last week he w
alexandr402 [8]
Let x be the earnings/hour at the movie theater.
      y be the earnings/hour at the pet store

Systems of equations:

$152.50 = 10x + 8y
$171 = 8x + 10y

Solving for x and y:
x = $4.36/ hour in the movie theater
y = $13.61/ hour in the pet store.<span />
8 0
2 years ago
In basketball there are three ways to score. 1 point for a free Throw, 2 points for a short field goal, and 3 points for a long
Free_Kalibri [48]
It says Dallas didn't make any free throws. It means there are short field goals (SFG) and long field goals (LFG) only.
Let's assume number of SFG = x
and number of LFG = y

Given that 2 points for a short field goal, and 3 points for a long field goal.
Total Score = 2x+3y
Also, Total score = 36 (given in the question)
So we have the equation
2x + 3y = 36
where x and y are integers.

when SFG=0, then x=0 and so 3y=36.
y=12 i.e. LFG = 12
So the extreme case is (0,12) i.e. SFG=0 and LFG=12.

Other cases would be integral vales of (x,y) which satisfy the equation 2x+3y=36.
So (3,10) , (6,8) , (9,6) , (12,4) , (15,2) , and (18,0) are other cases.

Hence final answers are (x,y) = (0,12) , (3,10) , (6,8) , (9,6) , (12,4) , (15,2) , and (18,0)
4 0
2 years ago
Joan is filling a 2-liter soda bottle with different colors of sand to make an art project for her class. She has 1,000 millilit
Marrrta [24]

Answer:

0.4 l of purple sand

Step-by-step explanation:

<u>Volume to be filled in:</u>

  • 2 liter = 2000 ml

<u>Red sand</u>

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<u>Blue sand</u>

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<u>Yellow sand</u>

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<u>Total volume filled:</u>

  • 1000 + 350 + 250 = 1600 ml

<u>Purple sand needed:</u>

  • 2000 - 1600 = 400 ml = 0.4 l

<u>Answer is</u> 0.4 l of purple sand required

6 0
2 years ago
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