Under her cell phone plan, Janelys pays a flat cost of $46.50 per month and $5 per gigabyte. She wants to keep her bill under $70 per month. Write and solve an inequality which can be used to determine gg, the number of gigabytes Janelys can use while staying within her budget.

Answers

Answer 1

Answer:

  less than 4.7 gigs

Step-by-step explanation:

The cost of Janelys's cell phone plan will be the sum of the flat cost and the product of the per-gig cost and the number of gigs of data she uses.

  y = 46.50 +5g

She wants this to be less than $70 per month, so we can find the constraint on her data usage from ...

  46.50 +5g < 70

  5g < 23.50 . . . . . . . . subtract 46.50

  g < 4.7 . . . . . . . . . . divide by 5

Janelys must use less than 4.7 gigs of data to stay within her budget.


Related Questions

What is the value of 378÷(710⋅−30)?

Answers

Answer:

0.555882

Step-by-step explanation:

Two congruent trapezoids are joined at the dotted line as shown in the model below.
What is the area of both trapezoids in square centimeters

Answers

Let's see.

[tex]\\ \sf\Rrightarrow Area=\dfrac{1}{2}(Sum\:of\: parallel\:sides)Height[/tex]

[tex]\\ \sf\Rrightarrow Area=\dfrac{1}{2}(6+9)(4)[/tex]

[tex]\\ \sf\Rrightarrow Area=2(14)[/tex]

[tex]\\ \sf\Rrightarrow Area=28cm^2[/tex]

Area of both=2(28)=56cm^2

Match each set of numbers with their least common multiple.
504
288
84
44
200
108

22 and 4=
9, 8, 7=
27, 12,,36=
25 , 8=
14 ,12=
32, 24 18=

Answers

Answer:

22 and 4 = 44   9, 8, 7= 504    27, 12, 36= 108   25, 8= 200   14, 12= 84   32, 24, 18= 288

Step-by-step explanation:

Christie has $200 in her bank account. Every month, she deposits $20 into her account. The equation of the line that models the amount of money, y, in her account x years from now is y = x=

Answers

Answer:

The equation is y = x20 + 200

Step-by-step explanation:

Sorry if this is not what you are looking for.

Prove triangle ABC is congruent to triangle CDA

Answers

Answer:

Step-by-step explanation:

Daniel drinks a 96 ounce energy drink containing 89 calories per 24 ounces. How many calories did he drink?

Answers

Answer:

356

Step-by-step explanation:

an equilateral triangle has two sides given as (3x-2)cm and (18+x)cm what is the perimeter​

Answers

Answer:

84 cm

Step-by-step explanation:

Equilateral triangle have sides that measure the same

so

3x-2 = 18+x

Subtract x from each side

3x-2-x =18+x-x

2x-2 = 18

Add 2 to each side

2x-2+2 = 18+2

2x= 20

Divide by 2

2x/2 = 20/2

x = 10

The side measures18+x = 18+10 = 28

The perimeter is 3 times the length of one side

3*28 = 84

What is the answer to this figure when I solve for x?

Answers

x / 9.8 = 6.4 / 11.2

x = 6.4 / 11.2 * 9.8 = 5.6

Pease Help. Will mark Brainliest

Answers

Answer:

the answer is b

Step-by-step explanation:

Answer:

The Answer will be B

Step-by-step explanation:

The formula to find the volume of a sphere is V=3.14r^3 where r is the
radius of the sphere. What is the formula in terms of r?
PLEASE HELP!

Answers

divide by 3.14 on both sides first.

V/3.14 = r^3

Now cube root both sides.

3√(V/3.14) = r

r = 3√(V/3.14)

r is the cube root of v/3.14.

which of the following is a quadratic inequality

y>x3+x2
y
y2+3x+4​

Answers

Answer:

y>x3+x2

Step-by-step explanation:

it has the greater than sign

How many colors are there (estimate)

Answers

Answer:

There is very very very near 1,000,000 (shades included in those colors)

Step-by-step explanation:

Hi!there are about 18 decillion colors.So how do we know there are 18 decillion colors? First of all, scientists have determined that in the lab we can see about 1,000 levels of dark-light and about 100 levels each of red-green and yellow-blue. So that's about 10 million colors right there. And then you have to allow for other matters.

Whats the area?/ ty show work!

Answers

Answer:

25

Step-by-step explanation:

4 times 3 is 12

5 times 3 is 15

15 plus 12 is 25

Hello!

(4*3) + (3*5)

= 12+15

= 27

Find the value of f(-3) if f(x) = -3x + 7

Answers

Answer:

f(-3) = -3(-3) + 7

= 9 + 7

= 16

2/3 divided by 1/4? Thank you

Answers

Answer:

2.66666666667

Step-by-step explanation:

two over three divided by one over four is 2.66666666667

Select the correct answer from the drop-down menu
23
Central angle BAC of circle A measures 20" radians. Arc BC has a length of 63.487 centimeters. What is the radius of the circle?
The radius of circle A is ✓ centimeters.

Answers

Answer:

r = 55.2 cm

Step-by-step explanation:

the arc length is calculated as

arc = circumference × fraction of circle

     = 2πr × [tex]\frac{\frac{23}{20}\pi }{2\pi }[/tex] ( r is the radius )

given arc = 63.48π , then

2πr × [tex]\frac{\frac{23}{20}\pi }{2\pi }[/tex] = 63.48π ( cancel 2π on numerator/ denominator )

r × [tex]\frac{23}{20}[/tex] π = 63.48π ( divide both sides by π )

[tex]\frac{23r}{20}[/tex] = 63.48 ( multiply both sides by 20 to clear the fraction )

23r = 1269.6 ( divide both sides by 23 )

r = 55.2 cm

Answer: 55.2

Step-by-step explanation:

got it correct on my test!

pls answer maek u brainlist

Answers

a) 197 x 202 = 197 x (200+2) = 197 x 200 + 197 x 2 = 197 x 100 x 2 + 197 x 2 = 19700 x 2 + 197 x 2 = (19700 +197) x 2 = 19897 x 2 = 39794

b) (1.05)sqrd - (0.95)sqrd = 1.1025 - 0.9025 (no suitable ways to do this other than bare calculating) = 0.2

Hello!

a)

= 39 794

b)

1.05 *1.05  - 0.95*0.95

= 1.1025 - 0.9025

= 0.2

what is the remainder of -x^3-x^2+3 / x+3

Answers

Answer:

21

Step-by-step explanation:

The remainder on dividing f(x) by (x + h) is f(- h)

Given

f(x) = - x³ - x² + 3 , then

f(- 3) = - (- 3)³ - (- 3)² + 3 = - (- 27) - (9) + 3 = 27 - 9 + 3 = 21 ← remainder

ASAP!! I need help. -w-Which answer choice shows 5 +0.9 + 0.06 written in standard form?
OA) 0.0596
OB) 0.596
OC) 5.96
OD) 59.6

Answers

the answer is c . 5.96

Answer:

Hey!

Your answer is 5.96!

Step-by-step explanation:

5 + 0.9 = 5.9

IF WE ADD 0.06...it makes 5.96

(the 6 is in the hundredth column so it goes AFTER the 9)

This fives us 5.96!

I HOPE THIS HELPED YOU!

He used the steps below to simplify the expression

-1/4(8x+12)-(-2x+5)
=-2x-3+2x-5
=-8

Which statement is true about the steps that Pablo used to simplify the expression?

() He combined like terms inside the parentheses, distributed -1/4 over (8x+12), and then combined the remaining like terms.

() he combined like terms inside the parentheses, distributed -1/4 over (-2x+5), and then combined the remaining like terms.

() He distributed -1/4 over (8x+12), distributed 1 over (-2x+5), and then combined like terms.

() He distributed -1/4 over (8x+12), distributed -1 over (-2x+5), and then combined like terms



Answers

c. distributed then combined

Juan solved the problem in the example by dividing the figure into a rectangular prism and a trangular prism. show how to find the volume this way

Answers

Answer:

Huh?

Step-by-step explanation:

I don't understand

John is playing a game of darts. The probability that he throws a dart into the center of the dart board (the Bull’s eye) is. The probability that he throws the dart into the 10-point ring is. What is the probability that he either hits a Bull’s eye or scores 10 points?.

Answers

The probability that the John either hits a Bull’s eye or scores 10 points in the game of darts is 2/5.

What is probability?

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event. The probability of an event can not be more than the number 1.

John is playing a game of darts. In this game of dart,

The probability that he throws a dart into the center of the dart board (the Bull’s eye) is 1/10. The probability that he throws the dart into the 10-point ring is 3/10.

The probability that he either hits a Bull’s eye or scores 10 points is equal to the sum of the probability he hits the bull's eye and the probability that he throws the dart into the 10-points ring.

Let, the probability that he either hits a Bull’s eye or scores 10 points is P. Thus,

[tex]P=\dfrac{1}{10}+\dfrac{3}{10}\\P=\dfrac{4}{10}\\P=\dfrac{2}{5}[/tex]

Hence, the probability that the John either hits a Bull’s eye or scores 10 points in the game of darts is 2/5.

Learn more about the probability here;

https://brainly.com/question/24756209

Answer:

Option D is the correct answer

Step-by-step explanation:

D.[tex]\frac{2}{5}[/tex]

help pls and tysmm!!

Answers

The answer is the first one; 81.26m
It is answer A) 81.26m

Solve the system of equations.
– 3y + 5x = 26
- 2 - 5x = -16

Answers

Answer:

[tex]y=-4,\:x=\frac{14}{5}[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}-3y+5x=26\\ -2-5x=-16\end{bmatrix}[/tex]

Isolate x for -2-5x=-16:

[tex]x=\frac{14}{5}[/tex]

[tex]\mathrm{Substitute\:}x=\frac{14}{5}[/tex]

[tex]\begin{bmatrix}-3y+5\cdot \frac{14}{5}=26\end{bmatrix}[/tex]

[tex]Simplify[/tex]

[tex]\begin{bmatrix}-3y+14=26\end{bmatrix}[/tex]

Isolate y for -3y+14=26:

[tex]y=-4[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]y=-4,\:x=\frac{14}{5}[/tex]

if 2:5=x:20 then x=?

a)50 b)2 c)1/2 d)8

Answers

Answer:

x = 8

Step-by-step explanation:

Write as fraction form

[tex]\frac{2}{5}=\frac{x}{20}[/tex]

[tex]\mathrm{Switch\:sides}[/tex]

[tex]\frac{x}{20}=\frac{2}{5}[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}10[/tex]

[tex]\frac{x}{20}\cdot \:10=\frac{2}{5}\cdot \:10[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]\frac{x}{2}=4[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}2[/tex]

[tex]\frac{2x}{2}=4\cdot \:2[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x=8[/tex]

Hence, Answer is [D} x = 8

~Learn with Lenvy~

Solution:

Given:

[tex]2:5 = x:20[/tex]

We know that:

Since the LHS and the RHS are equal, they form a proportion[tex]\text{a:b} = \text{c:d} \rightarrow \text{ad} = \text{bc}[/tex]

To find x, let's multiply the extremes and put the product on one side. Then multiply the middles and put the product on the other side.

⇒ [tex]2:5 = x:20[/tex]⇒ [tex]2 \times 20= x \times 5[/tex]

Now, solve for x.

⇒ [tex]2 \times 20= x \times 5[/tex]⇒ [tex]40 = 5x[/tex]⇒ [tex]\frac{40}{5} = \frac{5x}{5}[/tex]⇒ [tex]\boxed{x = 8}[/tex]

How much can a computer technician earn in two
years? Assume there are no raises in that time.

Helpppppppp

Answers

Answer:

$72,920

Step-by-step explanation:

36,460 x 2 = 72,920

what is an equation of the line through (3, -1) and (2, 14)?​

Answers

Step-by-step explanation:

no explanations.I have done the whole sum

If the circumference of a circle is increased by 40%,
then the area of the circle is increased by
A. 18%. B. 20%. C. 40%. D. 96%.

Answers

Answer:

96%

Step-by-step explanation:

c=100=22/7D

D=7/22×100

get the radius and find the area

R=D/2

A=pi×r^2

repeat that assuming

C=140

get the area

find the %age

A2_A1=Area difference

A(diff)/A1×100=96.01%

[tex]r_{2}[/tex]Answer:

D) 96%

Step-by-step explanation:

let the circumference of circle be C = 2π[tex]r_{1}[/tex] and   [tex]r_{1}[/tex] =   [tex]d_{1}[/tex]/2

Initial radius (radius before increment) = [tex]r_{1}[/tex]

initial diameter (diameter before increment) = [tex]d_{1}[/tex]

Increasing the circumference of a circle other factors are constant except the radius which can be used to find the diameter hence increasing the circumference of a circle is equivalent to increasing the diameter

area of the circle before increment [tex]A_{1}[/tex] = π[tex]r_{1}[/tex]²

[tex]A_{1}[/tex] = π × ([tex]d_{1}[/tex]/2)²

[tex]A_{1}[/tex] = π[tex]d_{1}[/tex]²/4

Increment of circumference results to increment of only the diameter

diameter after increment by 40%, [tex]d_{2}[/tex] = 1.4[tex]d_{1}[/tex]

1.4 represents increment by 40%

radius after increment [tex]r_{2}[/tex]  =  [tex]d_{2}[/tex]/2 = 1.4[tex]d_{1}[/tex]/2 = 0.7[tex]d_{1}[/tex]

area after increment, [tex]A_{2}[/tex] = π[tex]r^{2} _{2}[/tex]

[tex]A_{2}[/tex] = π(0.7[tex]d_{1}[/tex])²

[tex]A_{2}[/tex] = π × 0.49[tex]d_{1}[/tex]²

Change in area =  [tex]A_{2}[/tex] - [tex]A_{1}[/tex]  

[tex]A_{2}[/tex] - [tex]A_{1}[/tex] = π ×  0.49[tex]d_{1}[/tex]² - π [tex]d_{1}[/tex]²/4

[tex]A_{2}[/tex] - [tex]A_{1}[/tex]  = π [tex]d_{1}[/tex]²(0.49 - ¼)

[tex]A_{2}[/tex] - [tex]A_{1}[/tex]  = π [tex]d_{1}[/tex]²(0.49 - 0.25)

[tex]A_{2}[/tex] - [tex]A_{1}[/tex]   = 0.24 π[tex]d_{1}[/tex]²

Percentage increment = ([tex]A_{2}[/tex] - [tex]A_{1}[/tex]/ [tex]A_{1}[/tex]) × 100

= ((0.24 π[tex]d_{1}[/tex]²)/(π[tex]d_{1}[/tex]²/4)) × 100

= (0.24 × 4 ) × 100

= 0.96 × 100

= 96 %  

 

Hope it was useful

PLEASE HELP!!

Question: Select All Equations Where C=9
Is A Solution
*Choose 2 Answers*


Answers

Answer: d and e

Step-by-step explanation:

a) 4 - 9 = 5 FALSE

b) 20 = 14 + 9 FALSE

c) 15 = 9 - 6 FALSE

d) 9 divided by 3 = 3 TRUE

e) 36 = 4 x 9 TRUE

Answer is D and E

Step-by-step explanation:

Option D u will multiply each side by the LCM which is 3 and u will get the answer to be C=9

option E u will divide both side by 4 and u will get the answer to be C=9

what is 0.728416 rounded to the nearest tenth

Answers

0.728416 rounded to the nearest 10th is 0.7


Answer:

0.7

Step-by-step explanation:

In order to determine if the tenth place is rounded up one number or stay the same, you have to look at the hundredths place. In this scenario it's the 2.

0.728416

If the hundredths place is 5 or greater, you round up in the tenth place. If the hundredths place is 4 or less you keep the same number in the tenth place.

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