Tina sends 12 text messages each day in June. A mobile phone company offers two packages. Package A: The first 100 texts each month cost 3 paisa each, the second 100 texts cost 2p each and after this the cost of each text is 1paisa. Package B: All texts cost 2paisa. Which package offers her the better value for money in 30 days? Justify your answer.

Answer:

x = ¾-a

Step-by-step explanation:

x + a = ¾

Subtract a from each side

x + a -a= ¾-a

x = ¾-a

▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓

[tex]x+a=\dfrac{3}{4}\\\\x=\dfrac{3}{4}-a\\\\x=\dfrac{3-4a}{4}[/tex]

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Bonsoir,

"Qui sont vos sportifs préférés ?

Je vais vous décrire mon athlète préférée et vous devrez prêter attention. À la fin, vous me direz de qui je parle, d'accord ?

Commençons

Question 1 : Quel sport pratique l'athlète ?

Football, basketball ou volleyball.

Elle joue au volley-ball

Ma sportive préférée, c'est une joueuse de volley-ball.

Elle est péruvienne et fait partie de l'équipe féminine du Pérou  de volley-ball.

Question 2 : Comment est-elle?

Moche, musclée ou petite?

Elle est musclée

Elle est brune et musclée.

Elle est grande et mince aussi.

Elle est très belle.

Question 3 : Comment sont ses cheveux

et ses yeux ?

Ses cheveux et ses yeux sont bruns.

Elle a les cheveux bruns ,  courts et frisés .

Ses yeux sont bruns( on dirait plutôt marron) comme ses cheveux.

Question 4 : Quel âge a-t-elle ?

Elle a vingt-quatre ans.

Question 5 : Est-elle de petite taille?

Non, elle est grande.

Elle fait 1, 85m!

Answer:

I believe it's D

Step-by-step explanation:

You plug in 0 and you get 5 as your Y value

The function of the graph is y = (5 + 3x)/(1 + x), so the correct option is d.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

The graph is first shifted to the right by 4 units and another one to the left by 1/2.

So, we have:

y = (5 + 3x)/(1 + x)

Hence, the function of the graph is y = (5 + 3x)/(1 + x)

Read more about function transformation at:

brainly.com/question/4289712

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Answer:

x = -5 and y = -8

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\displaystyle \ \Large \boldsymbol{} \frac{a-\sqrt{a} }{\sqrt{a}-1 } -\frac{\sqrt{a}+1 }{a+\sqrt{a} } :\frac{\sqrt{a}+1 }{a} = \\\\\\\frac{\sqrt{a}(\sqrt{a} -1 ) }{(\sqrt{a}-1) } -\frac{\sqrt{a}+1 }{\sqrt{a}(\sqrt{a}+1 )}\cdot \frac{\sqrt{a}\cdot \sqrt{a} }{\sqrt{a}+1 } = \\\\\\\sqrt{a} -\frac{\sqrt{a} }{1+\sqrt{a} } =\frac{a+\sqrt{a}-\sqrt{a} }{1+\sqrt{a} } = \\\\\\\frac{a}{\sqrt{a}+1 } \cdot \frac{\sqrt{a}-1 }{\sqrt{a}-1} } =\boxed{\frac{a\sqrt{a} -a}{a-1} }[/tex]

Answer:

Hello,

Step-by-step explanation:

ratio of EF: FG: GH is equal to 5 : 2:3.

[tex]\Longrightarrow \dfrac{EF}{5} =\dfrac{FG}{2}=\dfrac{GH}{3}=k\\\\EF=5*k\\FG=2*k\\GH=3*k\\\\\\EH=EF+FG+GH=5k+2k+3k=10k\\\\EH=10k=60 \Longrightarrow k=6\\\Longrightarrow GH=3*k=3*6=18(cm)[/tex]

The length of GH is 18 units.

A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.

The figure given below shows a line segment EH, where the length of line segment EH refers to the distance between its endpoints, E and H.

Given that the points E, F, G and H all lie on the same line segment

E______________F______________G_____________H

We have to determine GH

We have the ratio of EF: FG: GH is equal to 5 : 2 : 3.

Then EF/5 =  FG/2 = GH/3 = c

So EF = 5c, FG = 2c, and GH = 3c

Given that EH = 60,

⇒ EH = EF + FG + GH

⇒ 60 = 5c+ 2c+ 3c

⇒ 10c = 60

⇒ c = 60/10

⇒ c = 6

So GH = 3(6) = 18

Hence, the length of GH is 18 units.

Learn more about the line segment here:

brainly.com/question/25727583

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Answer:

120

Step-by-step explanation:

white : blue : green

5        :4          :1

48 are blue

48/4 = 12

Multiply each by 12

white : blue : green

5*12   4*12     1*12

60        48        12

Add the numbers together to get the total

60+48+12

120

Answer:

y - 7 = -4 (x + 2)

Step-by-step explanation:

y - 7 = -4 (x + 2)

Answer:

2 solutions

Step-by-step explanat

ion:|2x-3|-|3x-2|=0

<=>|2x-3|=|3x-2|

<=>2x-3=3x-2

Or 2x-3=-3x+2

<=>2x-3x=-2+3

or 2x+3x=2+3

<=>x=-1

Or x=1

Answer:

D

Step-by-step explanation:

It is because work is done when a force cause an object to move in the direction of the applied force.

so work is equal to force × distance

we know that :

10*pi/3------> convert to degrees------> 10*180/3=600 degrees

600=360+240

240 degrees belong to the III quadrant  so

the x-coordinate is negative

the y-coordinate is negative  

240°=180°+60°

60 degrees is the angle to find the terminal point

let  ∅=60°

in the unit circle

r=1 units

x=-r*cos ∅----> x=-cos 60------> x=-(1/2)

y=-r*sin ∅----> y=-sin 60------> y=-(√3)/2

the point is ( -1/2 , -√3/2)

Answer:

m = 36

Step-by-step explanation:

A^2 + B^2 =  C^2

81 +  144 = 225

square root of 225 =  15

n = 15

m = ?

39 = 39

225  + m ^2 = 1521

m^2 = 1296

m = 36.

CHECK :

225 + 1296 =  1521

CORRECT!

Answer:

75.875m^2

Step-by-step explanation:

12-4=8

8x4=32

12x4=48

1/2(1.5+4)1.5=4.125

32+48-4.125=75.875

Answer:

1.

C. 6561 is the answer that the table represents

Answer:

B

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ 8, 9 ] , then

Continuing the table from x = 6 , multiplying values of y by 3

x     y

6   729

7  2187  

8  6561

9  19683

f(b) = f(9) = 19683

f(a) = f(8) = 6561

average rate of change = [tex]\frac{19683-6561}{9-8}[/tex] = [tex]\frac{13122}{1}[/tex] = 13122 → B

Answer:

y = - 3x - 22

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{3}[/tex] x + 1 ← is in slope- intercept form

with slope m = [tex]\frac{1}{3}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{3} }[/tex] = - 3 , then

y = - 3x + c ← is the partial equation

To find c substitute (- 6, - 4) into the partial equation

- 4 = 18 + c ⇒ c = - 4 - 18 = - 22

y = - 3x - 22 ← equation of perpendicular line

Answer:

The curved surface area of the cone is approximately 329.9 cm²

Step-by-step explanation:

The parameters of the right circular cone are;

The radius of the cone, r = 7 cm

The slant height of the one, l = 15 cm

The curved surface area of a cone, CSA = π·r·l

Therefore;

CSA = π × 7 cm × 15 cm = 105·π cm² ≈ 329.9 cm².

Answer:

Step-by-step explanation:

Applying the midpoint formula to the points (a, 0) and (0, a) looks like this:

[tex]M=(\frac{a+0}{2},\frac{0+a}{2})[/tex] which simplifies to

[tex]M=(\frac{a}{2},\frac{a}{2})[/tex]

Answer:

-19

Step-by-step explanation:

5v+3w

Let v = -5 and w=2

5(-5) + 3(2)

Multiply first

-25 + 6

The add

-19

1. Evaljate 5v +3w for v = -5 and w = 2

plug-in

5(-5) +3(2)

-25 +6

Answer: -19

2. Simplify the expression 8(e -1) + 2(e -1)

Distribute

8(e -1) + 2(e -1)

8e -8 + 2e -2

10e -10

Answer:  10e -10

Answer:

Step-by-step explanation:

x^4 - 6x^3 -5x^2 +42x +40

Answer:

Step-by-step explanation:

(x²-3x-1)² = (x²)² + (-3x)² + (-1)²+ 2(x²)(-3x)+2*(-3x)(-1)+2*(-1)(x²)

= x^4 +9x² +1 -6x³ +6x -2x²

=x^4 - 6x³ + 9x² -2x² + 6x + 1

=x^4 - 6x³ + 7x² + 6x + 1

(x²-3x-1)²-12(x²-3x-1)+27 = x^4 - 6x³ + 7x² + 6x + 1 - 12x²  + 36x + 12 + 27

                                      =x^4 - 6x³ + 7x²  - 12x²  + 6x +36x  + 1 + 12 +27

                                      =x^4 - 6x³ - 5x²  + 42x + 40

supplementary angles = the sum of those angles will equal to 180 degrees

so,

2x + 3 + 3x + 2 = 180

5x + 5 = 180

5x = 175

x = 35

angle 1 -> 2x + 3 = 70 + 3 = 73

angle 2 -> 3x + 2 = 105 + 2 = 107

if you want to check, 107 + 73 = 180

hope it helps :)

Answer:

210 in³

Step-by-step explanation:

length = 10 in

Width = 7 in

Height = 3 in

Volume of rectangular prism = length * width * height

                                               = 10 * 7 * 3

                                                = 210 in³

Answer: Option D

210 in³

Volume of Rectangular prism = lwh

Height = 3in

Width = 7in

Length = 10in

Volume = 10(7)(3)

Volume = 210 in³

Must click thanks and mark brainliest

Answer:

1.96 ;

1.216

Step-by-step explanation:

Given the data :

x : __0 _ 1 _ 2 _ 3 _4 _5 Total

P(x) .07 .36 .27 .17 .10 .03 1.00

. The mean, also called the expected value is defined as ;

E(X) = Σx*p(x)

E(X) = (0*0.07) + (1*0.36) + (2*0.27) + (3*0.17) + (4*0.10) + (5*0.03) = 1.96

The standard deviation, ; √var(x)

Var(X) = Σx²*p(x) - E(X)²

Var(X) = [(0² * 0.07) + (1² * 0.36) + (2² * 0.27) + (3² * 0.17) + (4² * 0.10) + (5² * 0.03)] - 1.96²

Var(X) = 5.32 - 3.8416

Var(X) =14784

SD(X) = √1. 4784 = 1.216

Answer:

39.4 or 40 % depending on which place you round it to

Step-by-step explanation:

18 * 1.10= 19.8      

(19.8  - 12) / 19.8 = 0.39393939...

so 39.4 or 40 % depending on which place you round it to

Answer: c. BC/YZ=6/3

Step-by-step explanation:

trust

Answer: The answer is C. BC/YZ = 6/3

Step-by-step explanation:

Got it right on edge 2023

Answer:

c. 256π/3 units^3

Step-by-step explanation:

Recall that the volume V of a sphere with radius r is given as

V = 4 /3πr3

Hence from the image given, the radius of the sphere which is the distance from the center to any point on the circumference is 4 units hence the volume

V = 4/3 * π * 4^3

= 4/3 * π * 64

= 4*64/3 * π

= 256π/3 units^3

Option c is right

Answer:

-2

(0, 1)

Step-by-step explanation:

Giveb the function :

F(x) = 3^x + 1 – 2

To obtain the asymptote, take the limit of f(x) as x as tends to ∞

3^(∞+1) - 2 = 0 - 2

Hence,

y = 0 - 2.

y = - 2

The y intercept, this is the value of y when x = 0

Hence, put x = 0

F(0) = 3^(0 + 1) – 2

f(0) = 3^1 - 2

f(0) = 3 - 2

f(0) = 1

Y - intercept = (0, 1)

Answer:

[tex] \bf \: {c}^{2} = {(56)}^{2} + ( {33)}^{2} \\ = > {c}^{2} = 3136 + 1089 \\ = > {c}^{2} = 4225 \\ = > c = \sqrt{4225} \\ = > c = 65 \: yards[/tex]

Answer:

65..

Step-by-step explanation:

[tex] \sqrt{(56) {}^{2} } + (33) {}^{2} \\ = 65[/tex]

Answer:

x=2

Step-by-step explanation:

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

sin theta = opp/ hyp

sin 30 = x/4

4 sin 30 =x

4 ( 1/2) =x

2 =x