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.

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

Answer: 5

Step-by-step explanation:

Answer:

41.6

Step-by-step explanation:

54 * 32 = 1728

square root of 1728 is 41.6

Hope this helps!

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

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

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]

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

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.

Answer:

I can't really tell my vision is probably blurry

Step-by-step explanation:

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]

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 ⚜

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

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]

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°

Answer:

2/10= 0.2

10/2= 5

Is this what u are looking for?

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

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:

Step-by-step explanation:

Given:

Required equations:

Answer:

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

Step-by-step explanation:

Answer:

x = 65.38°

using cosine rule:

Answer:

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

Step-by-step explanation:

hope this helps :)

Answer: 135 minutes

Step-by-step explanation:

45/7= 6.42857142857

6.42857142857 x 21 = 135

Answer:

Step-by-step explanation:

2.5 Cubic Meters =2500000 Cubic Centimeters

(1m³ = 1000000cm³)

Answer:

179

Step-by-step explanation:

- 24 × - 8 -13

(- 24 × - 8) - 13

192 - 13

  179

Hope this helps!

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

Answer:

Solve for

x

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

x = −20

Step-by-step explanation:

branliest

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.

Answer:

Step-by-step explanation:

We need to solve in the most hard way.

Equation simplified:

Solve left to right:

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.