Becky needs to choose a new cell phone plan. She has 2 choices. Carolina Cell offers a monthly fee of $20.79 and $2.00 for each gigabyte of data used. Sanford Cell offers a monthly fee of $22.89 and $1.50 for each gigabyte of data used. What is the amount of gigabytes, to the nearest tenth, when both plans would cost the same?

Answer:

The sorted steps are;

1) Write the equations: 10·x + 8·y = 472 and 9·x + 8·y = 456

2) Multiply to get one variable to eliminate: -90·x - 72·y = -4248 and 90·x + 80·y = 4560

3) Eliminate x's: 8·y = 312

4) Solve for y: y = 39 (39 buses)

5)Plug back in to find x: 10·x + 8·(39) = 472

6) Solve for x: x = 16 (16 vans)

Step-by-step explanation:

Let x = The number of students in each van and y = The number of students in each bus

We have;

For High School A;

10·x + 8·y = 472...(1)

For High School B;

9·x + 8·y = 456...(2)

Multiply equation (1) by (-9) and equation (2) by 10 to get

(10·x + 8·y) × (-9) = 472 × (-9)

-90·x -72·y = -4,248...(3)

9·x + 8·y × (10)= 456 × (10)

90·x + 80·y = 4,560...(4)

Add equation (3) to (4) gives;

-90·x -72·y + 90·x + 80·y = -4,248 + 4,560

90·x - 90·x -72·y + 80·y = -4,248 + 4,560

8·y = 312

y = 312/8 = 39

y = 39

Substituting the value of y in equation (1), gives;

10·x + 8·y = 10·x + 8 × 39 = 472

10·x + 312 = 472

10·x  = 472 - 312 = 160

10·x  = 160

x = 160/10 = 16

x = 16

The number of students in each van = x = 16 students

The number of students in each bus = y = 39 students.

Answer:

Step-by-step explanation:

3 - 2 / 0-(-4)

m= slope =1/4

y1  - Y2= m (x1- x2)

y=(1/4) x+ 3

slope intercept y=(1/4) x+3

point slope  y-3=(1/4)(x-0) or y-2=(1/4)X+4

standard form (1/4) x-y= -3

Answer:

nfw

Step-by-sntep explanation:

fwjfba

Step-by-step explanation:

reflection over the y-axis the values of x will change so it's going to be -1,4

Answer:

6 times

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

add me on discord fun54658#0871

Answer:

Y=16x+86

Step-by-step explanation:

Answer: 6x+1250

Step-by-step explanation:

Amount already in the register = $1250

Number of phones sold every hour = 6

Price of the phone = x

The expression that represents the total amount of money that he should have in the register in a given hour will be:

= $1250 + $6x.

Therefore, option C that is 6x + 1250 is the correct answer.

Answer:

E)3

Step-by-step explanation:

4/3-1=2

3+1/2=2

First, You cross multiply.

(x - 1)(x + 1) = 8

x^2 - 1 = 8

Now subtract 8 from both sides.

x^2 - 9 = 0

x^2 - 9 is a difference between 2 squares.

(x + 3)(x - 3) = 0

For an equation with only multiplying to be equal to 0, one of its factors must be 0.

So either x + 3 = 0 or x - 3 = 0.

So x could be -3 or 3.

The answer is (E).

Hope this helps!

Answer:

Given a=35 and ∠β=42°,

b = 31.51414

c = 47.09715

∠α = 48° = 0.83776 rad = 4/15π

h = 23.41957

area = 551.49748

perimeter = 113.61129

inradius = 9.7085

circumradius = 23.54857

Step-by-step explanation:

Answer:

2.4

Step-by-step explanation:

50/21=2.380.....

          2.38

          2.4

Answer:

50/21 or 2 8/21 meters per second

Step-by-step explanation:

Well speed is the distance divided by the time, so, 50 is the distance and 21 is the time, so, you divide 50 by 21 to get the answer

Step-by-step explanation:

question is notcorrect

Answer:

[tex]x<-5[/tex]

Step-by-step explanation:

[tex]4-x<9[/tex]

Subtract 4 to both sides

[tex]x<-5[/tex]

Hope this helps and pls do mark me brainliest if you can:)

Answer:

35 %

Step-by-step explanation:

50 % of 80 is 40 so 28% of 80 is 35%

if you just divide  80 by 28 you will get 35.

Answer:

1) x=2

2) n=0

3) x=-7

4) a=0

5) m=-1

6) p=1

7) p=-6

8) r=3

9) x=-4

10) x=0

Answer:

y = x + 3

y = 5x + 13

Answer:

The total amount she paid would be $105.50.

Answer:

25.5 is the tip -- 110.50 is the total bill.

Step-by-step explanation:

You would calculate .30 (move the decimal over twice to switch from a percentage to a decimale) multiplied with 85 and this gives you 25.5.

85 * .3 = 25.5

Depending on the rest of the question, I added the tip to the amount of the dinner cost to obtain the total bill. You will need to see what the rest of the question is in order to verify which answer you are looking for.

Step-by-step explanation:

given data:

gained = $1,570

amount invested = $29,000

0.11x – 0.07( $29,000 – x ) = 1540

0.11x – ( 2030 – 0.07x ) = 1540

0.11x + 0.07 = 1540 +2030

0.18x = 3570

divide both sides by 0.18

x = 19833.33 ( amount invested at 11%.

$29,000 – 19833.33

= $9166.7 ( amount invested at 7%)

Answer:

la respuesta es—6

esperó que te sirva

Answer: x=18

Step-by-step explanation:

X/3=6

We want to get x alone so we multiply both sides by 3

X=18

Answer:

5 dollars

Step-by-step explanation:

Answer:

Step-by-step explanation:

In a rectangle KLMN, if the diagonals KM and LN intersect at O, then KO = ON

GIVEN

KO = 4y+6

ON = 3y+11

Equate

4y+6 = 3y+11

Collect like terms

4y-3y = 11-6

y = 5

KO = 4(5)+6

KO = 20+6

KO = 26

Note that KO = OM = LO = ON = 26

Hence ON = 26

For diagonal KM,

KO+OM = KM

KM = 26+26

KM = 52

LN = LO+ON

LN = 26+26

LN = 52

From.the digram, ∆KON is isosceles triangle hence <KON = KNO =32°

<KON = 180-(32+32)

<KON = 180-64

<KON = 116°

<ONM = 90-32

<ONM = 58°

∆ONM is also an isosceles triangle,

<ONM = <OMN = 58°

Hence <KMN = 58°

Step-by-step explanation:

[tex]3(4x - 3) = - 4 + 7[/tex]

Expand :

[tex]3(4x - 3) = 12x - 9 \\ 12x - 9 = - 4 + 7[/tex]

Simplify : Add values

[tex]12x - 9 = 3[/tex]

Collect like terms and simplify

[tex]12x = 3 + 9 \\ 12x = 12[/tex]

Divide both sides of the equation by 12

[tex] \frac{12x}{12} = \frac{12}{12} [/tex]

Simplify

[tex]x = 1[/tex]

Answer:

x = 1

Step-by-step explanation:

Original Equation:

3(4x - 3) = -4 + 7

Use the distributive property.

3 x 4x = 12x

3 x -3 = -9

Equation:

12x - 9 = -4 + 7

Add 4 to both sides.

12x - 5 = 7

Add 5 to both sides.

12x = 12

Divide both sides by 12

x = 1

Hope I helped :)

Please consider Brainliest :)

Answer:

6

Step-by-step explanation:

So, the absolute value of −6 will be the distance from −6 to 0 on the number line, and it is 6.

Answer:

C (6)

Step-by-step explanation:

The absolute value of -6 is 6 since it's 6 spots away from the 0 on the number line

Answer:

Step-by-step explanation:

Use the given functions to set up and simplify

2%.8000=a⋅(5yearcd)= 5ea2yrcd2%=0.02

Answer:

100

Step-by-step explanation:

Answer:

f(3) =3(2)+2

Step-by-step explanation:

Therefore, x = 2

Answer:

44670

Step-by-step explanation:

5.67*1000+3.9*10000

Answer:

(x,y)→(x+7,y)

Step-by-step explanation:

Cuz the point isn't moving up or down so the y is the same and x+7 cuz the point moved 7 units to the right so its position changed in the x-axis.

Im reallyyyy bad at explanations but hope this helped:)