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mash [69]
3 years ago
6

A cell phone company offers two plans.

Mathematics
1 answer:
Aneli [31]3 years ago
3 0

Answer:

80 minutes

Step-by-step explanation:

Represent Plan A as y = $26.50 + ($0.35/min)x, where x is the number of minutes consumed.  

Represent Plan A as y = $42.50 + ($0.15/min)x

We set these two equations equal to one another and solve for x, the number of minutes at which the costs of the two plans are momentarily equal:

y = $26.50 + ($0.35/min)x = y = $42.50 + ($0.15/min)x

Combining like terms, we get:             ($0.20/min)x = $16.00

                 

                  $16.00

Then x = -------------------- = 80 minutes

                 ($0.20/min)

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Hello what is 100^4<br> pls help asap my homework
finlep [7]

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

Solution ~

  • 100 {}^{4}

  • 100 \times 100 \times 100 \times 100

  • 100000000

or it can also be expressed as ~

  • 10 {}^{8}

6 0
3 years ago
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A retailer buys pants at $22 and sells them for $26.40. The percent of markup on cost is:
Lemur [1.5K]
A!

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There are 75 milligrams of cholesterol in a 3.5 ounce serving of lobster. How much cholesterol is in 6ounces of lobster
Maru [420]

Hence, the amount of cholesterol in 6 ounces of lobster will be 128.58 milligrams

Step-by-step explanation:

Given

Cholesterol in 3.5 ounces = 75 mg

Cholesterol in 6 ounces =x= ?

This can be worked out by using proportions

It can be written as:

\frac{75}{3.5}=\frac{x}{6}\\21.43=\frac{x}{6}\\Multiplying\ both\ sides\ by\ 6\\21.43*6=x\\x=128.58\ mg

Hence, the amount of cholesterol in 6 ounces of lobster will be 128.58 milligrams

Keywords: Proportions, Conversion

Learn more about proportions at:

  • brainly.com/question/4163549
  • brainly.com/question/4168505

#LearnwithBrainly

8 0
3 years ago
Light travels 1.08 x 10 9 kilometers in one hour. How far does it travel in 2 hours?
ozzi

The distance traveled by the light in 2 hours is 2.16×10⁹ km.

<h3 /><h3>Distance:</h3>

This is the total length of space between two points covered by an object. Distance has no regard for direction as it is termed a scalar quantity. The S.I unit of distance is meter(m).

To calculate the distance traveled by the light in 2 hours, first, we need to calculate the speed of the light.

Formula:

  • S = d/t................. equation 1

Where:

  • S = speed
  • d = distance travelled
  • t = time

From the question,

Given:

  • d = 1.08×10⁹ km
  • t = 1 hour

Therefore,

  • s = 1.08×10⁹/1
  • s = 1.08×10⁹ km/h

The distance traveled in 2 hours is

  • d = 2×1.08×10⁹
  • d = 2.16×10⁹ km

Hence, the distance traveled by the light in 2 hours is 2.16×10⁹ km

Learn more about distance here: brainly.com/question/23848540

6 0
2 years ago
A linear function has an x-intercept of 12 and a slope of 3/8. How does this
Alekssandra [29.7K]

Answer:

O It has the same slope and a different y-intercept.

Step-by-step explanation:

y = mx + b

m = 3/8

b = 12

y = (3/8)x + 12

---

Data in the table:  slope is the rise (y) over the run (x) between two points (assuming the data represent a linear line).

 Change in x and y between two points.  I'll choose (-2/3,-3/4) and (1/3,-3/8).

Change in y:  (-3/8 - (-3/4)) = (-3/8 - (-6/8))  =  3/8

Change in x:  (1/3 - (-2/3)) = (1/3+2/3) = 3/3 = 1

Slope = (Change in y)/(Change in x) = (3/8)/1 = 3/8

The slope of the equation is the same as the data in the table.

Now let's determine if the y-intercept is also the same (12).  The equation for the data table is y = (2/3)x + b, and we want to find b.  Enter any of the data points for x and y and then solve for b.  I'll use (-2/3, -3/4)

y = (3/8)x + b

Use (-2/3, -3/4)

-3/4 =- (3/8)(-2/3) + b

-3/4 = (-6/24) + b

b = -(3/4) + (6/24)

b = -(9/12) + (3/12)

b = -(6/12)

b = -(1/2)

The equation of the line formed by the data table is y = (3/8)x -(1/2)

Therefore, It has the same slope and a different y-intercept.

5 0
3 years ago
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