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 g, the number of gigabytes Janelys can use while staying within her budget.

Answers

Answer 1

Answer:

Less than 4.70 GB

Step-by-step explanation:

Let x = # of GB that Janelys uses that month. Since Janelys wants to pay less than $70 given that the flat rate for subscribing to that company's data per month is $46.50 and each GB costs $5 to use, the inequality can be written as:

5x + 46.50 < 70

5x < 23.50                        Subtract $45.60 from each side.

x < 4.70 GB                       Divide 5 from each side.

Thus, (if it is whole numbers) Janelys can use 4 GB while staying within her budget or (if decimals are fine) anything less than 4.70 GB. Hope this helped! :D


Related Questions

HELP!!!
I need to know if this is Function or not a function.

Answers

Answer:

Not a function

Step-by-step explanation:

Since  x  =  1  produces  y = 3  and  y  = 4 , the relation is not a function.

( − 2 , − 5) , ( − 1 , − 3 ) , ( 0 , 0 ) , ( 1 , 3 ) , ( 1 , 4 )

The domain cannot be the same value.

B. Jennifer needs new trim around the base boards.

How much trim does she need?

What assumptions do you make?

Answers

Is there a picture because I dont see it

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 160-cm and a standard deviation of 1.2-cm. For shipment, 15 steel rods are bundled together. Find the probability that the average length of a randomly selected bundle of steel rods is less than 159.4-cm. P(M < 159.4-cm) = 0.3085 Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

Answers

use a z-test where z=(xbar-mean)/sigma/sqrt(n)
The denominator is the SE and is 1.6/sqrt(30)=0.292
z=-0.5/0.292 and .9/.292 or between -1.71 and 3.08
that probability is 0.9553.

in a diagram 0 is the centre of the circle and ABC=240

Answers

Question incomplete please add the diagram

Find x.

A. 4
B. 4√2
C. 2√2
D. 8

Answers

Answer: D. 8

Explanation:

As shown, x is the hypotenuse and we have an angle 30 whose adjacent side is 4sqrt3. When given an angle and its adjacent side and are required to find the hypotenuse, we may use the cosine of the given angle. Since cosine is adjacent/hypotenuse, we may apply this.

1) cos30 = 4sqrt3/x
2) sqrt3/2 = 4sqrt3/x
3) x/2 = 4sqrt3/sqrt3
4) x/2 = 4
5) x = 8

Hope this helps, brainliest would be appreciated :)

HELP FAST Which solution shown bellow contains an error

Answers

Answer:

B

Step-by-step explanation:

for the value of Cos<c=​

Answers

Answer:

1.732 is the value of cos C

Answer:

none of these

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj/ hyp

cos C = 4 sqrt(3)/ 5

cos C = 1.38564

Find the missing side lengths

Answers

Answer:

[tex] \sin(45) = \frac{o}{h} \\ 0.7 = \frac{x}{18 \sqrt{2} } \\ 0.7 \times 18 \sqrt{2} = x \\ 0.7 \times 25.45 = x \\ 17.8 = x[/tex]

[tex] {x}^{2} + {y}^{2} =( 18 \sqrt{2} ) ^{2} \\ {17.8}^{2} + {y}^{2} = 648 \\ 316.84 + {y}^{2} = 648 \\ {y}^{2} = 648 - 316.84 \\ {y}^{2} = 331.16 \\ y = 18.19[/tex]

Suppose a normal distribution has a mean of 50 and a standard deviation of 3. What is P(x≤53)?

- 0.16
- 0.025
- 0.84
- 0.975

Answers

Answer:

Step-by-step explanation:

Use the formula to find the z-score, then go to the table that will give you the probability that the value is less than this z-score.

[tex]z=\frac{53-50}{3}=1[/tex]

The probability that the value lies to the left of 1 on a standard bell curve is 84.1345%, or 84%, the third choice down.

The value of  P(x≤53) is 0.84, the correct option is C.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

We are given that;

Mean=50

Now,

To find P(x≤53), you can use a normal distribution calculator1234 or a normal distribution table. You need to convert the raw score of 53 into a standard score (or z-score) by using the formula:

z = (x - μ) / σ

where x is the raw score, μ is the mean, and σ is the standard deviation. In this case, x = 53, μ = 50, and σ = 3. So,

z = (53 - 50) / 3

z = 1

Then, you can enter the z-score and the mean and standard deviation of the normal distribution into the calculator or look up the z-score in the table. The calculator or table will give you the cumulative probability of getting a z-score less than or equal to 1. This is the same as P(x≤53).

Therefore, by probability the answer will be 0.84.

Learn more about probability here;

https://brainly.com/question/9326835

#SPJ7

Two sides of a right triangle measure 5 inches and 6 nches, and the third side measures 61 inches.
The length of the third side is about
inches _ . The perimeter of the triangle is about
inches. __

Answers

Answer:

The length of the third side is 7.81 inches and the perimeter of the triangle is about 18.81 inches

Step-by-step explanation:

Step by step solution please

Answers

Answer: A, C, D

Step-by-step explanation:

To find which logarith simplifies to 2, we first need to know how they work.

We now know that [tex]log_a(a^x)=x[/tex].

This tells us that only A, C, D would work.

[tex]8^2=64\\ \\6^2=36\\\\10^2=100[/tex]

Note: whenever you have a log that doesn;t specify the base, it is always 10, as shown in D.

which radical expression in the picture is equivalent to t^5/8?

Answers

Answer: Choice B

=========================================================

Explanation:

The rule we use is

[tex]\Large a^{m/n} = \sqrt[n]{a^m} = \left(\sqrt[n]{a}\right)^m[/tex]

where 'a' is the base, m stays in the role of the exponent, and n plays the role of the root index (eg: n = 3 is a cube root, n = 4 is a fourth root, and so on).

So for instance,

[tex]\Large 2^{3/4} = \sqrt[4]{2^3} = \left(\sqrt[4]{2}\right)^3[/tex]

or in this case,

[tex]\Large t^{5/8} = \sqrt[8]{t^5} = \left(\sqrt[8]{t}\right)^5[/tex]

help me, thank you!!!

Answers

Answer:

Step-by-step explanation:

i don't understand this language but i think you want to simplify  it.

[tex]\frac{3x-3\sqrt{x} -3}{x+\sqrt{x} -2} -\frac{\sqrt{x} +1}{\sqrt{x} +2} +\frac{\sqrt{x} -2}{1-\sqrt{x} } \\=\frac{3x-3\sqrt{x} -3}{x+2\sqrt{x} -\sqrt{x} -2} -\frac{\sqrt{x} +1}{\sqrt{x} +2} -\frac{\sqrt{x} -2}{\sqrt{x} -1} \\=\frac{3x-3\sqrt{x} -3}{\sqrt{x} (\sqrt{x} +2)-1(\sqrt{x} +2)} -\frac{(\sqrt{x} +1)(\sqrt{x} -1)+(\sqrt{x} +2)(\sqrt{x} -2)}{(\sqrt{x} +2)(\sqrt{x} -1)} \\=\frac{3x-3\sqrt{x} -3}{(\sqrt{x} +2)(\sqrt{x} -1)} -\frac{(x-1)+(x-2)}{(\sqrt{x} +2)(\sqrt{x} -1)} \\[/tex]

[tex]=\frac{3x-3\sqrt{x} -3-2x+3}{(\sqrt{x} +2)(\sqrt{x} -1)} \\=\frac{x-3\sqrt{x} }{(\sqrt{x} +2)(\sqrt{x} -1)}[/tex]

A survey asked 60 students if they play an instrument and if they are in band.
1.35 students play an instrument.
2. 30 students are in band.
3. 30 students are not in band.
Which table shows these data correctly entered in a two-way frequency table?

Answers

Answer:  Choice A

=======================================================

Explanation:

The table headers will look like choice A or choice C. Notice that we have simple yes or no questions along either the row or column labels; also, the labels are consistent. Choice B can be ruled out because the labels aren't consistent (or don't match up). Choice D is overcomplicated so it can be ruled out also.

We're told that 35 students play an instrument. That means 35 goes at the end of the "plays instrument" row, in the "total" column.

This is enough to see that choice A is the final answer

Furthermore, 30 students are in a band. So we have "30" at the bottom of the "band" column, and in the "total" row. The same applies to the 30 people not in band.

A (I used process of elimination)

B is incorrect it says the total # of people not in a band is 35 but the description says only 30 aren’t in a band

C is incorrect because it says the total # of people that play an instrument is 30 but the description says 35 students play an instrument

D is incorrect because the way the graph is set up doesn’t make sense (ex. How can someone qualify for “not being in band but play an instrument” but also qualify for “in band and play instrument”

convert the rational number into an equivalent rational number with the given numerator 3/5=12/□
plz give me answer fastly and don't snap​

Answers

Answer:

3/5

=3*4/5*4

=12/20

I hope this will help.

Answer:12/20

Step-by-step explanation:

O Valor da incógnita b é:


2


3


4


5

Answers

Answer:

there are relationship between sides of two triangle

Step-by-step explanation:

if 2 multiply by 2 and it new form 4 you should multiply 2 to all side of first triangle so this means 1*2 f=2 and b*2=6 b= 3

solve
f(x)=4x5−8x4+8x2−4x

Answers

Given:

The function is:

[tex]f(x)=4x^5-8x^4+8x^2-4x[/tex]

To find:

The roots of the given equation.

Solution:

We have,

[tex]f(x)=4x^5-8x^4+8x^2-4x[/tex]

For roots, [tex]f(x)=0[/tex].

[tex]4x^5-8x^4+8x^2-4x=0[/tex]

[tex]4x(x^4-2x^3+2x-1)=0[/tex]

[tex]4x((x^4-1)+(-2x^3+2x))=0[/tex]

[tex]4x((x^2+1)(x^2-1)-2x(x^2-1))=0[/tex]

On further simplification, we get

[tex]4x(x^2+1-2x)(x^2-1)=0[/tex]

[tex]4x(x-1)^2(x+1)(x-1)=0[/tex]

[tex]4x(x+1)(x-1)^3=0[/tex]

Using zero product property, we get

[tex]4x=0[/tex]

[tex]x=0[/tex]

Similarly,

[tex]x+1=0[/tex]

[tex]x=-1[/tex]

And,

[tex](x-1)^3=0[/tex]

[tex]x=1[/tex]

Therefore, the zeroes of the given function are [tex]-1,0,1[/tex] and the factor form of the given function is [tex]f(x)=4x(x+1)(x-1)^3[/tex].

These circles are:

A. tangent
B. congruent
C. congruent
D. none of these

Answers

Answer:

A. tangent

Step-by-step explanation:

Hi there!

Tangent circles are circles that intersect (or "touch") at exactly one point. These circles appear to have this characteristic.

I hope this helps!

Help plz. Brainlest and 5 stars and thanks if right :)

Answers

Answer:

c

Step-by-step explanation:

just look at 11 1/4, which is equals to 11 2/8. she recorded 3, and c is the only one which corresponds :) lmk if im wrong tho, the picture is kind of blurry

Draw a rough sketch of a quadrilateral KLMN. State, (a) two pairs of opposite sides, (b) two pairs of opposite angles, (c) two pairs of adjacent sides, (d) two pairs of adjacent angles. please draw the answer

Answers

Answer:

Please find attached the drawing of quadrilateral KLMN created with MS Whiteboard using the Ink to Shape command

(a) Two pairs of opposite sides are [tex]\overline {KN}[/tex], [tex]\overline {LM}[/tex] and [tex]\overline {KL}[/tex], [tex]\overline {NM}[/tex]

(b) Two pairs of opposite angles are ∠LKN, ∠LMN, and ∠KLM and ∠KNM

(c) Two pairs of adjacent sides are [tex]\overline {KN}[/tex], [tex]\overline {NM}[/tex] and [tex]\overline {KL}[/tex], [tex]\overline {LM}[/tex]

(d) Two pairs of adjacent angles are ∠LKN, ∠KLM and ∠LMN, ∠KNM

Step-by-step explanation:

PLS HELP WILL GIVE BRAINLY!!
What is the weight (in grams) of a liquid that exactly fills a 182.8 milliliter container if the density of the liquid is 0.135grams over milliliter? Round to the nearest hundredth when necessary, and only enter numerical values, which can include a decimal point

Answers

Answer:

Step-by-step explanation:

1 milli liter = 0.135 grams

182.8 ml = 0.135 * 182.8 = 24.678 grams

Answer:

24.678

Step-by-step explanation:

Hope this helps :)

the first three terms of an arithmetic progression are m,12 and n . Find the value of m+n​

Answers

Answer:  24

===========================================

Explanation:

There are a few approaches. Here's one way to solve.

Let d be the common difference between the terms.

We add d to each term of this arithmetic sequence to get the next term.

First term = mSecond term = 12 = m+dThird term = n = (m+d)+d = m+2d

Focusing on the second equation, we can solve for d like so

m+d = 12

d = 12-m

This is then plugged into the third equation

n = m+2d

n = m+2(12-m)

n = m+24-2m

n = 24-m

Therefore,

m+n = m+(24-m) = 24

It turns out that it doesn't matter what m and n are because m+n is always equal to 24 in this case.

-----------------

A more concrete example:

Let's say m = 2. We won't set up n just yet but we'll be able to compute it fairly soon.

Since m = 2, this means d = 12-m = 12-2 = 10. This is the gap between adjacent or neighboring terms.

If d = 10, then the third term must be n = 12+d = 12+10 = 22

We can then see that m+n = 2+22 = 24

-----------------

I'll do another example:

m = 5

d = 12-m = 12-5 = 7

n = 12+d = 7 = 19

m+n = 5+19 = 24

Whenever in doubt, or if you get stuck, it helps to come up with actual numeric values to hopefully clear things up.

-----------------

An alternative way to get the answer:

Let's try to determine what m+n is actually saying. We have 12 right in the middle of the first term (m) and third term (n). Because the gap between the numbers is the same (that being d), we know that 12 is the midpoint of m and n. It might help to draw out a number line to see what's going on.

The midpoint of m and n is (m+n)/2

Set this equal to 12 and isolate the "m+n"

(firstTerm+thirdTerm)/2 = second term

(m+n)/2 = 12

m+n = 2*12

m+n = 24

So in general, if the first three terms of the arithmetic sequence are m, k, n, then m+n = 2k.

which inequality is represented on the number line shown?

Answers

Answer:

A

Step-by-step explanation:

b/ of shaded region can make to closed inequality & it's not closed to make open inequality.

In the picture below, which lines are lines of symmetry for the figure?

Answers

C . Only 4 …………………….

Rút gọn các biểu thức sau:
a,√3-2√2
b,√4-2√3
c,√8-2√7
d,√7-4√3
e,√11-6√2
(Tất cả các căn đều không cách)

Answers

a)3-2=1 b)4-2=2 c)8-2=6 d)7-4=3

4log10 2 − log10 48 + log10 300

Answers

Answer:

hello,

answer 2

Step-by-step explanation:

[tex]I\ note\ Log\ ,log_{10}\\\\4*Log(2)-Log(48)+Log(300)\\\\=4*Log(2)-Log(3*2^4)+Log(3*100)\\\\=4Log(2)-Log(3)-4Log(2)+Log(3)+2*Log(10)\\\\=2*1\\\\=2\\[/tex]

Answer:

the answer is easy  

number 2 is the answer for this question  

Find area of the cross section of the dam pictured below

Answers

Answer:

(w + h cotθ)h

Step-by-step explanation:

Cross section is the isosceles trapezoid.

Area of trapezoid:

A = 1/2(a + b)h

We have one of the bases and the height.

Let the difference of the base lengths is x.

We have:

(x/2)/h = cot θ ⇒ x = 2h cot θ

The area is:

A = 1/2(w + w + 2h cot θ)h = (w + h cotθ)h

Aman age is 2 times of his son's age after 5 years sum of their age will be 70 find their present age ​

Answers

Answer:

aman's son's age = 20

aman's age = 40

Step-by-step explanation:

let aman's son's age be x

aman's age = 2x

2x+5+x+5 = 70

3x+10=70

3x = 60

x = 20

2x = 40

Can someone help me out I don't understand

Answers

Answer:

1/2

Step-by-step explanation:

You need to see how much times bigger or smaller the shape is after it's changed, that's the scale factor

The dialated image (blue one where it says J'K'T'P') seems like half the size of the black one, so we'll say the scale factor is half or 1/2 (if it's double then the scale factor is 2, for triple, it's 3)

Answered by GAUTHMATH

Which graph represents the function f(x)= |x| -4?

Answers

Answer:

the graph will be the parent function : |x|, but shifted down by 4 units

Step-by-step explanation:

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