Under her cell phone plan, Leah pays a flat cost of $42 per month and $4 per
gigabyte. She wants to keep her bill at $48.80 per month. Write and solve an
equation which can be used to determine g, the number of gigabytes of data Leah can
use while staying within her budget.

Answers

Answer 1
We know that she pays a flat cost of 42, so that will be our constant. We can use 4g to represent how she pays $4 per gigabyte used. Our equation will be 4g + 42 = 48.80.

Our goal is to isolate g. We can do that by subtracting 42 from both sides. This gives us 4g = 6.8. Then, we need to divide both sides by 4. This gives us g = 1.7.

The equation we can use to represent this situation is 4g + 42 = 48.80, and she can only spend 1.7 gigabytes or less to stay within her budget. (I am not sure if 1.7 should be rounded, but if so, it should be rounded down to 1.)

Related Questions

Hey, I literally have no idea what to do here, its on providing the congruence statement supported by angle bisector theorem. The diagrams are really weird and I don't know exactly how to represent this, can you help me out? Sorry if the picture is too blurry, it says "each figure shows a triangle with its three angle bisectors intersecting at point P, answer each question by providing the congruence statement supported by the angle bisector theorem."

Answers

Answer:

I can't really tell my vision is probably blurry

Step-by-step explanation:

- 24 × - 8 -13


calculate​

Answers

the answer to this question is 179

Answer:

179

Step-by-step explanation:

- 24 × - 8 -13

(- 24 × - 8) - 13

192 - 13

  179

Hope this helps!

7 3/5 + 2 1/2 as a fraction

Answers

Answer: 7 3/5 + 2 1/2 = 10 1/10

Step-by-step explanation:

Write the fractions to have like denominators to make it easier to add.

7 3/5 will become 7 6/10

2 1/2 will become 2 5/10

Rewrite them as improper fractions:

7 6/10 will become 76/10

2 5/10 will become 25/10

Now add.

76/10+25/10=101/10

Rewrite the sum as a mixed number

101/10 will become 10 1/10

What are the solutions of this equation? 2x^2 + 16x − 8 = 0

Answers

Answer:

[tex]x=-4\pm2\sqrt{5}[/tex]

Step-by-step explanation:

[tex]2x^2+16x-8=0\\\\x^2+8x-4=0\\\\x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\ \\x=\frac{-8\pm\sqrt{(8)^2-4(1)(-4)}}{2(1)}\\ \\x=\frac{-8\pm\sqrt{64+16}}{2}\\\\x=\frac{-8\pm\sqrt{80}}{2}\\ \\x=\frac{-8\pm4\sqrt{5}}{2}\\ \\x=-4\pm2\sqrt{5}[/tex]

Advanced Trigonometry please help!!!!!

Answers

Answer:

i) Area = 25 m²

ii) slope of roof = 36.87°

Step-by-step explanation:

(i)  Let the midpoint of AB = M

Find BC by using Pythagoras' Theorem:  a² + b² = c²

(where a and b are the legs, and c is the hypotenuse of a right triangle)

Legs = MB and MC, hypotenuse = BC

⇒ 1.5² + 2² = BC²

⇒ 6.25 = BC²

⇒ BC = √(6.25) = 2.5

Area of a rectangle = width x length = BC x BE

⇒ area of BCFE = 2.5 x 5 = 12.5

⇒ area of ACFD = area of BCFE = 12.5

Therefore area covered by tiles = 12.5 + 12.5 = 25 m²

ii)

The angle of the slope of the roof will be angle ∠B of the right triangle ΔCMB.

Using sin(A)/a = sin(B)/b = sin(C)/c

sin(90)/2.5 = sin(B)/1.5

0.4 = sin(B)/1.5

0.6 = sin(B)

∠B = 36.87°

whats the square root of 54x32

Answers

Answer:

41.6

Step-by-step explanation:

54 * 32 = 1728

square root of 1728 is 41.6

Hope this helps!

Use multiplication

Hope this helps!

Five students each ate 2/3 of their own bag of skittles. What was the total amount eaten?​

Answers

Answer:

Total number of students= 5

Each ate = 2/3

Total amount eaten=?

Then,

2/3×5

=10/3

Hence 10/3 is the total amount eaten.

Divides 2/10=/5 pleased give me an answer i need it i beg you
a

Answers

Answer:

2/10= 0.2

10/2= 5

Is this what u are looking for?

The quotient of 20 and x, increased by seven

Answers

Hi!

"The quotient of" means you divide, so the quotient of 20 and x means you divide 20 by x:

20:x

Now, increase by 7:

(20:x)+7 (Answer)

Hope it helps!

Enjoy your day!

Please feel free to ask if you have any doubts :)

❖Sparkles❖ here to help

 [tex]\dfrac{20}{x} +7[/tex]

What is quotient?

Quotient is defined as when divide one number by another, the result is called the quotient.

The quotient of 20 and x, increased by seven

The following are possible interpretations of the given expression.

[tex]\dfrac{20}{x} +7[/tex]

Here, "quotient" is the answer to a division.

Learn more about quotient here:

https://brainly.com/question/27796160

#SPJ2

Jack ran 2/8 mile and Roy ran 2/3 mile. What benchmark fractions can be used to estimate how much farther Roy ran than Jack?

Answers

Answer:

Jack ran 1/4 of a mile.

Step-by-step explanation:

Step-by-step explanation:

jack ran 1/4 of a mile more than jack did

Keshav gave Rs. 3298.36 to his brother and Rs. 2149.67 to his sister. The remaining amount was given to his mother. If he had Rs. 9764.32 in all, how much did he give to her mother. ?

Answers

The actual questions grammatical stance is very difficult to comprehend as I see the contrast in gender between to people very good very nice

please help!
Given sin 0 = 5/6, find cos 0.

Answers

Answer:

[tex]cos(\theta)=\frac{\sqrt{11}}{6}[/tex]

Step-by-step explanation:

hope this helps :)

Solve the system of equations algebraically.

D=50t
D=42t+500

Answers

Firstly, since we have D solved for both equations, we can use 50t = 42t + 500. Next, we need to subtract 42t from both sides. This gives us 8t = 500. After that, we need to divide both sides by 8. Our answer is t = 62.5.

We now need to solve for D. We need to plug 62.5 into t to solve this. I will use the equation D = 50t for this. D = 50(62.5) is 3,125. Therefore, D is 3,125.

t is 62.5, and D is 3,125.

What helps us show inverse variation?

Answers

Answer:

Solving an Inverse Variation Problem

-Write the variation equation: y = k/x or k = xy.

-Substitute in for the given values and find the value of k.

-Rewrite the variation equation: y = k/x with the known value of k.

-Substitute the remaining values and find the unknown.

Step-by-step explanation:

yeah

If 14 is 35% of a value, what is that value?

Answers

4.90 I got this by multiplying 35% by 14
The unit rate is 0.4 and so that multiplyed by 100 is 40

what is this anyone know

Answers

Answer:

Solve for

x

by simplifying both sides of the equation, then isolating the variable.

x = −20

Step-by-step explanation:

branliest

HELP ME WITH PROVING LINES PARALLEL PLEASE

Answers

Answer:

∠2 = ∠5 (co-interior angles)

∠2 = 3x - 20

∠5 = x + 20

So,

∠2 = ∠5

3x - 20 = x + 20

3x - x = 20 + 20

2x = 40

x = 40/2

x = 20

Hope it helps ⚜

Pankaj borrows rupees 57,000 to buy a used car and is charged the rate of interest 6% per annum. if the term of his borrowing is 4 years, how much interest does he pay?​

Answers

Rs.13680 is the answer.

Step-by-step explanation:-

Given-

Principal (P) = Rs.57,000

Rate (r%) = 6%

[tex]→ \frac{6}{100} [/tex]

[tex]→ 0.06[/tex]

Time (n) = 4 years

Applying Interest formula,

[tex]→In=P \times R \times T[/tex]

[tex]→57,000 \times 0.06 \times 4[/tex]

[tex]→Rs.13680[/tex]

Hence, the interest is Rs.13680

10postmen can sort 500 letters in 30 minutes.How many postmen are needed to sort 600 letters in 20 minutes

Answers

Answer: 18

Step-by-step explanation:

We want to find out how many letters each postman can sort in an hour to make the process easier. Since we're already told that 10 postmen can sort 500 letters in 30 minutes, we can use that info to find that each postman can sort 100 letters per hour as 10 postmen would be able to sort 1000 letters in 1 hour.

Then, we can apply this info to find out how many postmen can sort 600 letters in 20 minutes. We can multiply the time and task each by 3 to find that this is the same rate as sorting 1800 letters in 1 hour, so the answer is 18 postmen.

yeah. i dont know either Imao

A box has volume 2.5m³.
Express this volume in cm³​

Answers

Answer:

2.5 Cubic Meters =2500000 Cubic Centimeters

Step-by-step explanation:

2.5 Cubic Meters =2500000 Cubic Centimeters

(1m³ = 1000000cm³)

Jamie bought a total of 20 pounds of grass seed at the nursery for $168. He paid $9 per pound for Kentucky bluegrass and $6 per pound for Tall Fescue. Which system of equations can be used to find the amount x (in pounds) of Kentucky bluegrass and the amount y (in pounds) of Tall Fescue Jamie purchased?

Determine the number of pounds of Kentucky bluegrass and the number of pounds of Tall Fescue that Jamie purchased from the problem above.

Answers

Answer:

D) x + y = 20

9x + 6y = 168

Step-by-step explanation:

x, y, is in pound, the weight

$168 is money, $9, $6

thankss for the point and i appreciate if mark my answer as brainliest <3

Answer:

x + y = 209x + 6y = 168

Step-by-step explanation:

Given:

Amount of grass seed = 20 poundsx pounds of Kentucky bluegrass for $9, it sums to 9xy pounds of Tall Fescue for $6, it sums to 6yTotal amount spent = $168

Required equations:

x + y = 209x + 6y = 168

Josh can run 7 miles in 45 minutes. How long would it take him to run 21 miles?​

Answers

Answer: 135 minutes

Step-by-step explanation:

45/7= 6.42857142857

6.42857142857 x 21 = 135

A is the point (-2,0)
B is the point (0,4)
C is the point (5,-1)

Find an equation of the line that passes through C and is perpendicular to AB

Answers

Answer:

y = 1/2x - 3.5

Step-by-step explanation:

so lets start by finding the equation of the line AB

we know the y-intercept is 4 from the point 0,4 so we know it'll look something like this

y = mx + 4 and we can plug in the other point we know -> 0 = m(-2) + 4  -> 4 = m(-2) -> m = -2 so the full equation of the line is y = -2x + 4

ok now we can find the other line. we know that perpendicular lines have an opposire reciprocal slope so in this case -2 would turn into 1/2

y = 1/2x + b

now lets plug in point C

-1 = (1/2)(5) + b

-1 - (2.5) = b

-3.5 = b

so the equation is y = 1/2x - 3.5

Answer:

[tex]y=-\dfrac12 x + \dfrac32[/tex]

Step-by-step explanation:

Equation of line AB:

Let A = [tex](x_1,y_1)[/tex] = (-2, 0)

Let B = [tex](x_2, y_2)[/tex] = (0, 4)

Use equation of slope to find slope m:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{4 -0}{0+2}=2[/tex]

Use point-slope form for linear equation:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]\implies y-0=2(x+2)[/tex]

[tex]\implies y =2x+4[/tex]

Equation of line passing through C

If the line that passes through C is perpendicular to AB, then their slopes will be opposite reciprocals of each other.

⇒ [tex]m=\dfrac{-1}{2}=-\dfrac12[/tex]

Use point-slope form for linear equation and [tex](x_1,y_1)[/tex] is point C:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]\implies y+1=-\dfrac12 (x-5)[/tex]

[tex]\implies y=-\dfrac12 x + \dfrac32[/tex]

What is the answer for 1 + 2(p + 10

Answers

2p + 21 is what it equals hope it helps and have a great day!

PLEASE HELP ME. I DESPERATELY NEED IT

Write the point slope form of the equation of the line through the given points: (-4,-1) and (-3,1)
EXPLAIN. STEP BY STEP

Answers

Answer:

SLOPE IS = 2

Step-by-step explanation:

to find the slope you should remeber the slope equation:

[tex]M=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

[tex](x_{1} ,y_{1} )=(-4,-1)\\(x_{2} ,y_{2} )=(-3,1)[/tex]

[tex]M=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\\M=\frac{1-(-1)}{-3-(-4)}[/tex]

[tex]M=\frac{2}{1} \\M=2[/tex]

SLOPE IS =2

y=2x+7 this is the slope intercept form

slope: 2

A common denominator for 5/6 and 3/5 is

Answers

30

factors of 6: 6 12 18 24 30

factors of 5: 5 10 15 20 25 30

so its 30

or simply multiple the denominators 6×5=30

PLEASE GUYS I NEED HELP!! IS THERE ANYONE WHO KNOW THIS TWO QUESTIONS :')))​

Answers

Answer:

figure it out your self stop having other people do your work for you

Step-by-step explanation:

Need maths help asap I will mark brainpower

Answers

Answer:

x = 65.38°

using cosine rule:

cos(x) = [tex]\frac{adjacent}{hypotenuse}[/tex]

cos(x) = [tex]\frac{5}{12}[/tex]

x  = [tex]cos^{-1}(\frac{5}{12} )[/tex]

x = 65.3756°

x = 65.38°

2 1/4 x4/5 ÷ 3/5 - 1/2

Answers

Answer:

2.5.2 1/2.

Step-by-step explanation:

We need to solve in the most hard way.

Equation simplified:

((((2 1/4) * 4/5) / (3/5)) - (1/2)

Solve left to right:

((((2 1/4) * 4/5) / (3/5)) - (1/2)= ((((2 1/4) * 4/5) / (3/5))= 3 - 1/2= 2 1/2.

If we solve this separately, starting with 2 1/4 * 4/5 without dividing 3/5, we would be doing it wrong.

If we do it like this, we would get the correct answer.

2 1/2 is the answer.

help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee solve it

Answers

Answer: 5

Step-by-step explanation:

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