Under his cell phone plan, Alexander pays a flat cost of $69.50 per month and $5 per gigabyte. He wants to keep his bill under $85 per month. Write and solve an inequality which can be used to determine gg, the number of gigabytes Alexander can use while staying within his budget.

Answers

Answer 1

Answer:

3 gigabytes

Step-by-step explanation:

69.50 dollars + 5 dollars is 74.50 dollars add 5 dollars 79.50 add 5 dollars again and 84.50 Mark brainliest

Answer 2

Inequalities help us to compare two unequal expressions. Alexander can use 3 gigabyte of data to stay within his budget.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

Given that Alexander pays a flat cost of $69.50 per month and $5 per gigabyte. Therefore, the total amount that Alexander pays in a month for x Gb of data used is,

Total Bill amount = Fixed cost + Variable cost for x Gb of data

                            = $69.50 + $5x

Now, as Alexander wants to keep his bill under $85 per month. Therefore, we can write the inequality as,

Total Bill amount < $85

69.50 + 5x < 85

5x < 85 - 69.50

5x < 15.5

x < 15.5/5

x < 3.1

Therefore, Alexander can use 3 gigabyte of data to stay within his budget.

Learn more about Inequalities here:

https://brainly.com/question/19491153

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Related Questions

translate twice x is at most -29 into an inequality

Answers

twice x as in x to the second power?
if it is x to the second power your answer would be
x^2 ≤ -29

The answer is 2x ≤ - 29

Step-by-step-explain

Twice x is at most -29 into an inequality

2x ≤ - 29

Thus, The answer is 2x ≤ - 29

-TheUnknownScientist

Use the number line below to find a fraction that is equivalent to 1/2

Answers

Answer:

4/8

Step-by-step explanation:

There are an infinite number of fractions equal to 1/2, but the number line in the question has 8 spaces, and shows 1 divided into 8 pieces. Therefore, the answer to this question is likely 4/8.

(may I ask why exactly this is put as a college level problem?)

Answer:

It should still be the same point.

Step-by-step explanation:

It should still be the same point, since the line did not increase in length, but the numbers of units has, and that does not affect the position of the half of the line.

Which angle measure is greater?

Answers

Answer: B

Step-by-step explanation:

I think it is b not sure

Timmy wants to buy a scooter and the price was $50. When he goes to the store the second time, he found that the price was marked down by 16%. What was the new price?

Answers

Answer:

kk

Step-by-step explanation:

Answer:

Step-by-step explanation:

20% of 50 is the same as writing 50 x 0.20, so we just do the math on that. Since it was marked down that much, we subtract the found 20% from the 50. The new price of the scooter is $40.

When money is spent on goods and services, those who receive the money also spend some of it. The people receiving some of the twice-spent money will spend some of that, and so on. Economists call this chain reaction the multiplier effect. In a hypothetical isolated community, the local government begins the process by spending D dollars. Suppose that each recipient of spent money spends 100c% and saves 100s% of the money that he or she receives. The values c and s are called the marginal propensity to consume and the marginal propensity to save and, of course, course, c + s = 1. Let Sn be the total spending that has been generated after n transactions.

Required:
Find an equation for Sn.

Answers

Solution :

If [tex]S_n[/tex] is the total spending generated after n transactions, then [tex]a_n[/tex] is the spending generated during the n-th transaction. Since the government spends D dollars, then [tex]a_1[/tex] = D.

Then the second person will receive D dollars and spend [tex]D_c[/tex] dollars. Therefore, [tex]a_2=D_c[/tex]. The next person will receive [tex]D_c[/tex] dollars, which means they are spending [tex]a_3 = (D_c)c = Dc^2[/tex] dollars. Therefore,

[tex]a_1 = D[/tex]

[tex]a_2=D_c[/tex]

[tex]a_3 = Dc^2[/tex]

[tex]a_4 = (Dc^2)c= Dc^3[/tex]

....

[tex]a_n=Dc^{n-1}[/tex]

∴ [tex]S_n=a_1+a_2+a_3+....+a_n[/tex]

  [tex]S_n = D+Dc+Dc^2+Dc^3+...+Dc^{n-1}[/tex]

  [tex]S_n= D(1+c+c^2+...+c^{n-1})[/tex]

  [tex]S-n=D . \frac{1-c^n}{1-c}[/tex]

Fine the length of segment x.

Answers

Answer:

10

Step-by-step explanation:

12+4=16

16-6=10

easy

we believe that 42% of freshmen do not visit their counselors regularly. For this year, you would like to obtain a new sample to estimate the proportiton of freshmen who do not visit their counselors regularly. You would like to be 98% confident that your estimate is within 3.5% of the true population proportion. How large of a sample size is required

Answers

Answer:

A sample of 1077 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

42% of freshmen do not visit their counselors regularly.

This means that [tex]\pi = 0.42[/tex]

98% confidence level

So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].

How large of a sample size is required?

A sample size of n is required, and n is found when M = 0.035. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.035 = 2.327\sqrt{\frac{0.42*0.58}{n}}[/tex]

[tex]0.035\sqrt{n} = 2.327\sqrt{0.42*0.58}[/tex]

[tex]\sqrt{n} = \frac{2.327\sqrt{0.42*0.58}}{0.035}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.327\sqrt{0.42*0.58}}{0.035})^2[/tex]

[tex]n = 1076.8[/tex]

Rounding up:

A sample of 1077 is required.

Describe fully the single transformation that maps triangle A onto triangle B. please help ASAP​

Answers

Hi how you doing? “Be safe”

Here is my question it is worth 15 points!

Answers

Answer:

What is your question????

Answer:

you don't have a question here tho

Step-by-step explanation:

The diameter of a circle is 1. What is the area??

Answers

Answer:

diameter=1

radius(r)=1/2 =0.5

area of circle=πr²

22/7×(0.5)²22/7×0.250.785cm²

hope it helps.


HELP ME ‼️

$298, $ 196, $248) $379, $319,$276, $198,
$349
. What is the median of the first half of the
data? (Third quartile)

Answers

Answer:

median of (298, 196, 248) - 196

median of (379, 319) - 349

median of (276,198, 349) - 198

Step-by-step explanation:

SENORMATHWIZ AM I CORRECT HURRY I HAVE 5 MIN!!!!

Answers

Answer:

its actually c

Step-by-step explanation:

6*10=60+40=100

100[tex]\geq[/tex]100

Answer:

C

Step-by-step explanation:

In order to graph we must first simplify the inequality

40 + 10x ≥ 100

step 1 subtract 40 from each side

40 - 40 cancels out

100 - 40 = 60

we now have 10x ≥ 60

step 2 divide each side by 10

10x/10 = x

60 / 10  = 6

we're left with x ≥ 6

Now to graph

We will start with a closed circled on 6 and because the inequality sign is facing the varibale (x) the line will go in the direction of the right

Thus, the answer is C

BRAINLIEST if correct NO LINKs

Answers

Answer:

just divide its simple

Step-by-step explanation:

from the left triangle (70) to the right triangle (23) it is a reduction of .329

A hose can fill a swimming pool in 12 hours. Another hose needs 2 more hours to fill the pool than the two hoses combined. How long would it take the second hose to fill the
pool?
hr

Answers

Answer:

6

Step-by-step explanation:

6 because 12 divided by 2 is 6 and it takes 2 hours to fill yw

A rectangular tank measuring 35 cm by 28 cm by 16 cm is 2/5 filled with
water. The water is poured into an empty cubical tank of edge 18 cm until
it is full. How much water is left in the rectangular tank? Give your answer
in millilitres.

Answers

Answer:

Amount of water left in tank = 440 cm³

Step-by-step explanation:

Given:

Sides of tank respectively = 35 cm , 28 cm , 16 cm  

Water level in tank = 2/5

Side of a cubic tank = 18 cm

Find:

Amount of water left in tank

Computation:

Volume level in rectangular tank = [2/5][35 x 28 x 16]

Volume level in rectangular tank = [2/5][15,680]

Volume level in rectangular tank = [31,360/5]

Volume level in rectangular tank = 6,272 cm³

Volume of cube = side³

Volume of cube = 18³

Volume of cube = 5,832 cm³

Amount of water left in tank = Volume level in rectangular tank - Volume of cube

Amount of water left in tank = 6,272 - 5,832

Amount of water left in tank = 440 cm³

Hey add me ages 11-13 please

Answers

No ur too young lol

Find the slope and the y- intercept of the line y=6x-3

Answers

Answer:

Slope: 6

Y-intercept: -3

Step-by-step explanation:

The value of x is the slope, the value of the y-intercept is the number with no variable. Therefore, the slope is 6 and the y-intercept is -3.

If this has helped please mark as brainliest

Answer:

m=6

Step-by-step explanation:

Clearly mark on the coordinate plane the location of the ordered pairs and
identify what quadrant they are in.

J (4,0) quadrant ________ and M(-2,-3) quadrant ___________

Answers

Answer:

Point [tex]J(4,0)[/tex] lies on [tex]x-[/tex]axis and point [tex]M(-2,-3)[/tex] lies quadrant III.

Step-by-step explanation:

A coordinate plane is a plane that is divided into four quadrants by the coordinate axes.

Here, coordinate axes are [tex]x-[/tex]axis and [tex]y-[/tex]axis.

Let's first mark the points in the coordinate plane.

See the attached figure.

From the figure, it can be observed that point [tex]J(4,0)[/tex] lies on [tex]x-[/tex]axis and point [tex]M(-2,-3)[/tex] lies quadrant III.

Can anyone answer this

Answers

Answer:

700

Step-by-step explanation:

guess be like

Evaluate 4 ÷ 3/5 Give your answer as a mixed number in its simplest form.​

Answers

9514 1404 393

Answer:

  6 2/3

Step-by-step explanation:

  4/(3/5) = (4/1)×(5/3) = 20/3 = 6 2/3

A motor cycle purchased for $9,000 today will be worth 6% less each year. For what can you expect to sell the motorcycle at the end of 5years

Answers

Answer:

$5,956.2

Step-by-step explanation:

First we need to find the amount after 5years using the formula

A =P(1+r)^n

A = 9000(1+0.06)^5

A = 9000(1.06)^5

A = 9000(1.3382)

A = 12,043.8

Interest after 5 years = 12,043.8 - 9000

Interest after 5 years = 3,043.8

Since it will be worth 6% less each year, the amount after 5years will be 9000 - 3,043.8 = $5,956.2

f (x) = (3x^4 + 1)^2 ?

Answers

Answer:

72x^7+24x^3  (finding the derivative using the chain and power rules)

Step-by-step explanation:

Answer:

the answer is 8

Step-by-step explanation:

The table shows a cricket clubs income in 2016 from a fete , a quiz and membership fees

Express as a ratio the income from the fete to the income from the quiz to the income from membership fees .
Give your ratio in it’s simplest form

Answers

Answer: 5:2:10

Income from fete = £250

13 x 5 + 35 = 100

25 x 20 = 500

250:100:500

Then simplify ratio -

25:10:50

5:2:10

In ΔTUV, the measure of ∠V=90°, TV = 28, UT = 53, and VU = 45. What ratio represents the cosecant of ∠U?

Answers

Answer:

Cosecant U = 53 / 28

Step-by-step explanation:

Please see attached photo for diagram.

We'll begin by calculating the ratio of sine U. This can be obtained as follow:

Angle U = θ

Opposite = 28

Hypothenus = 53

Sine U =?

Sin θ = Opposite / Hypothenus

Sine θ = 28 / 53

Thus,

Sine U = 28 / 53

Finally, we shall determine the ratio of cosecant U. This can be obtained as follow:

Sine U = 28 / 53

Cosecant U =?

Cosecant U = 1 / Sine U

Cosecant U = 1 ÷ 28 / 53

Cosecant U = 1 × 53 / 28

Cosecant U = 53 / 28

look at pic will mark brainilest

Answers

Answer:The first one 18in.2

Step-by-step explanation:

The answer is the second one 40inches

The Brazos River is the longest river in Texas with a length of 1, 352 km. The elevation of the source is 453 m above sea level, and the mouth is the Gulf of Mexico, with an elevation of m above sea levelAt what angle does the Brazos River flow, on average , in degrees ? (Round to the nearest hundredth .)

Answers

Answer:

0.02degrees

Step-by-step explanation:

Given the following

Length of the river (adjacent) = 1352km = 1352000m

Height of the source (opposite) = 453m

Required

angle of elevation theta

Using the SOH CAH TOA identity

tan theta = opposite/adjacent

tan theta = 453/1352000

tan theta = 0.0003351

theta = arctan(0.0003351)

theta = 0.02 degrees

Hence the Brazos river flows at an angle of 0.02degrees to the nearest hundredth

What is the location of X' when X is translated 3 units left and 9 units down?

Answers

Answer:

-3,-9

Hope this helps

Answer:

(-3,-9)

Step-by-step explanation:

X goes first then Y, since they are both negative they go backwards on the graph

Find the area of this trapezoid. Be sure to include the correct unit in your answer.

Answers

Answer:

60 m²

Step-by-step explanation:

Area of trapezium = 1/2 (a + b) h

= 1/2 (3 + 17) 6

= 1/2 * 20 * 6

= 60 m²

Answer: 60 m^2

Step by step solution: see photo

what is the area and circumference please help just tell only the answer

Answers

the area is 547.39
the circumference is 84.19
hope this helped :)

Circumference = 82.896 inches

Area = 547.1136 inches squared


A turtle can walk 2/24 of a kilometer in an hour. The turtie is 2/10 of a kilometer away
from a pond. At this speed, how long will it take the turtle to reach the pond?
2 2/5hours
1 3/5hours
2 hours
3 1/5hours

Answers

should be A. 2 2/5 hours
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