A telephone company offers two different types of billing. The first option is to pay an initial $10 fee with an additional $0.09 per MB of data used. The second option is to pay an initial $16 fee plus an additional $0.07 per MB of data used.

Part A: Write a system of equations that will model the situation.

Part B: How many MB of data would you have to use in order for both plans to cost the same amount? Explain how you determined your answer.

Answer:

blue:total

14:20

Answer:

14:20

Step-by-step explanation:

because 14 + 6= 20 so blue beads are 14 and the other is alltogether 20 so it is 14:20 or 14 to 20

Given:

[tex]h:k=2:5,x:y=3:4,2h+x:k+2y=1:2[/tex]

To find:

[tex]h-x:k-y[/tex]

Solution:

We have, [tex]h:k=2:5[/tex] and [tex]x:y=3:4[/tex].

Let the values of h and k are 2a and 5a respectively.

Let the values of x and y are 3b and 4b respectively.

We have,

[tex]2h+x:k+2y=1:2[/tex]

It can be written as

[tex]\dfrac{2h+x}{k+2y}=\dfrac{1}{2}[/tex]

[tex]\dfrac{2(2a)+(3b)}{5a+2(4b)}=\dfrac{1}{2}[/tex]

[tex]\dfrac{4a+3b}{5a+8b}=\dfrac{1}{2}[/tex]

[tex]2(4a+3b)=1(5a+8b)[/tex]

On further simplification, we get

[tex]8a+6b=5a+8b[/tex]

[tex]8a-5a=8b-6b[/tex]

[tex]3a=2b[/tex]

[tex]a=\dfrac{2b}{3}[/tex]

Now,

[tex]h-x:k-y=\dfrac{h-x}{k-y}[/tex]

[tex]h-x:k-y=\dfrac{2-3b}{5a-4b}[/tex]

[tex]h-x:k-y=\dfrac{2\times \dfrac{2b}{3}-3b}{5\times \dfrac{2b}{3}-4b}[/tex]

[tex]h-x:k-y=\dfrac{\dfrac{4b}{3}-3b}{\dfrac{10b}{3}-4b}[/tex]

On further simplification, we get

[tex]h-x:k-y=\dfrac{\dfrac{4b-9b}{3}}{\dfrac{10b-12b}{3}}[/tex]

[tex]h-x:k-y=\dfrac{-5b}{-2b}[/tex]

[tex]h-x:k-y=\dfrac{5}{2}[/tex]

[tex]h-x:k-y=5:2[/tex]

Therefore, the ratio [tex]h-x:k-y[/tex] is [tex]5:2[/tex].

Answer:

a. 17xy^2 + -2x^3 es un binomio

Step-by-step explanation:

Tenemos que sumar los terminos que son iguales, pero las letras se ponen en orden alphabetica 9y^2x es igual que 9xy^2

a. 7xy^2 + 9xy^2 + xy^2 + 5x^3 + 2x^3 - 9x^3

suma los que tienen las mismas letras 17xy^2 + -2x^3 es un binomio como tiene dos termos

Las demas son igual

Answer:

∠ R = 50°

Step-by-step explanation:

The inscribed angle R is half the measure of its intercepted arc QS

QS = 360° - (120 + 140)° = 360° - 260° = 100° , then

∠ R = 0.5 × 100° = 50°

Step-by-step explanation:

[tex]tan = \frac{opposite}{adjacent} [/tex]

tan(tetha) = DC/1 ( here 1 bc as they said, an arc circe w/ radius (OB) 1

(-4 , 2 ) so x1 = -4 and y1 = 2. The slope is still 1/2 so m = 1/2. y = 1/2 x +4 final answer

Answer:

36cm

IM TYPEING RANDOM WORDS CUZ IT SAYS ITS TOO SHORTTTTTTTTTTT

Answer:

11200

Step-by-step explanation:

is that right

Answer:Wonder Girls-Like This. Perfect workout, especially for your inner thighs! ...

Sistar-Loving You. Another great leg workout. ...

Sistar-Touch My Body. Very fun and lighthearted. ...

Sistar19-Ma Boy. Same. ...

Secret-Madonna. I love this dance, it's a classic on my workout routine. ...

Secret-Love Is Move. ...

Hyuna-Bubble Pop. ...

Step-by-step explanation:

Answer:

Radius refers to the distance between the center of the circle to any point of the circle

Diameter refers to the distance between any two points on the circle passing through the center of circle, it is also equal to radiusx2

Area of circle = πr², where π is a constant (≈3.14159), r is the radius

Halfcircles is basically half of the circle. It has the same radius and diameter as it's full circle but the area of the halfcircle is equal to half of the area of the full circle.

Step-by-step explanation:

Answer is in the photo. I can only upload it to a file hosting service. link below!

tinyurl.com/wpazsebu

Answer:

(a) Infinite

(b) 6 (because a to z contains 26 letters so we can only take 26 letters or less otherwise the letter can be repeated so we have to take the num which is coming in table of 4 so 24then we can make 6passwords)

THANK you

If you helped with my answer pls tag me brianliest....

Answer:

$2200

Step-by-step explanation:

1000*11%*20=2200

Answer:

3:5

Step-by-step explanation.

The first half: 9

The second half is: 15

9:15 =3:5

Answer:

979.72

Step-by-step explanation:

First find the amount of tax

895.95 * 9.35%

Change to decimal form

895.95 * .0935

83.771325

Rounding to the nearest cent, tax is 83.77

Add this to the cost of the tx

895.95 +83.77

979.72

(This Message Was Deleted By Author.)

Answer:

Step-by-step explanation:

If two polygons (in this case triangles) are similar, the ratio of their corresponding sides is constant (SSS)

If two polygons have equal corresponding angles, they are similar (AA)

If two polygons have two corresponding similar sides and the corresponding angle in between the sides are equal, the two polygons are similar (SAS)

Using this info, we can decide whether the triangles are similar or not

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

I have uploaded #5 and #8

Answer:

2a

Step-by-step explanation:

-a + a = 0, 0 + a = a. Therefore -a + 2a = a

Answer:

No, not really.

Step-by-step explanation:

It kinda depends on what your best friend does. Do they act suspicious around you? Feel free to talk to me if you need help.

Answer:

Number of sides of the polygon = 16

Step-by-step explanation:

Sum of the interior angle of a polygon = (n - 2) × 180°

Here, n = Number of sides of the polygon

If sum of the interior angles = 14 × 180°

Therefore, (n - 2) × 180° = 14 × 180°

(n - 2) = 14

n = 14 + 2

n = 16

Number of sides of the polygon = 16

Answer:

31/3÷43/4

=31×4/43×3

=124/129

Answer:

40/57

Step-by-step explanation:

keep change flip.

change the mixed fractions to improper by multiplying the integer by the denominator and then add the numerator.

should give you an answer of 10/3 and 19/4

which when put into the fraction-division rule equals 40/57

Answer:

i cant estimate it but i think 4

Answer:

mathpapa.com

Step-by-step explanation:

Answer: 4<x≤8

Step-by-step explanation:

ljhsbnrljSBluhjBeupijhibSEUJLOfgSEJGLFbgjhBDgn KSEGhjgfsjEBNfsEfiyuSGHEBFJS EfjhSEGfjlsHEK fEijrufgyhubgerfjhk