Use the number line below, where RS = 9y +3, ST = 3y + 4, and RT = 17y - 33.
a. What is the value of y?
b. Find RS, ST, and RT.

Answers

Answer 1

Answer:

R___S___T

RT=RS+ST

(17y-33) =( 9y+3)+(3y+4)

17y-33 = 12y+ 7

17y - 12y = 7+33

5y= 40

y=40/5

y= 8

RS = 9y+3 = 9(8)+3= 72+3=75

ST= 3y+4 = 3(8)+4=24+4=28

RT= 17y-33= 17(8)-33= 136-33= 103 —>

Or ; RT=RS+ST =75+28= 103

So;a. Ans; y=8

b. Ans; RS= 75 , ST = 28 , RT = 103

I hope I helped you^_^


Related Questions

Kiara desea contratar el servicio de una línea telefónica con internet para realizar sus clases virtuales. Si el costo de una línea de telefonía móvil con Internet es C = 10 + 1,5t (C, en soles; t, en horas).
- Expresa el costo de la línea telefónica móvil en función del tiempo.
- Determina el dominio y el rango de una función.
- ¿Cuál será el costo luego de 48 horas de consumo de la línea telefónica con Internet?

Doy coronita

Answers

a) Kiara ha adquirido una línea de telefonía móvil con internet a un Coste Fijo de 10 soles y un Tasa de Consumo de 1,5 soles por hora consumida.

b) El Coste total por 48 horas de consumo de la línea telefónica con internet es 82 soles.

a) Nota - Puesto que la ecuación que describe el Coste ya existe en el enunciado, entonces se entiende el verbo "Expresa" como "Describa en sus propias palabras".

Como puede apreciarse el Coste de la línea telefónica móvil aumenta linealmente con el Tiempo de consumo por parte del usuario. En consecuencia, la función de Coste queda definida como sigue:

[tex]C(t) = C_{o} + r\cdot t[/tex] (1)

Donde:

[tex]C_{o}[/tex] - Coste fijo, en soles.[tex]r[/tex] - Tasa de consumo, en soles por hora.

Entonces, tenemos que Kiara ha adquirido una línea de telefonía móvil con internet a un Coste Fijo de 10 soles y un Tasa de Consumo de 1,5 soles por hora consumida.

b) Una característica de las Funciones Lineales es que tanto su Dominio como Rango comprenden al Conjunto de todos los Números Reales, al ser de Pendiente constante esta Función.

Por tanto, el Dominio y el Rango de la Función en cuestión es el Conjunto de todos los Números Reales.

c) Si sabemos que [tex]C_{o} = 10[/tex], [tex]r = 1,5[/tex] y [tex]t = 48[/tex], entonces el Coste Total por concepto de 48 horas de consumo es:

[tex]C(48) = 10 + 1,5\cdot (48)[/tex]

[tex]C(48) = 82[/tex]

El Coste total por 48 horas de consumo de la línea telefónica con internet es 82 soles.

Invitamos a ver este problema sobre Costes: https://brainly.com/question/15723794

GUYS I NEED HELPPPPPP
PLEASEEEEEEEEEEE IF YOU CAN THEN TYSM

Answers

Answer:

198 cubic metres

Steps:

Find the area of cross section

Area if traingle + Area of square

1/2 × 3 × 4 + 4×4

6+ 16

22

Then times with the lenght (9)

22×9

I hope this helps, dont hesitate to ask for any question.

Mark me as brainliest is appreciated.Tq!!

Answer in image. Explain it too.

Answers

Answer:

First one

Step-by-step explanation:

√40 is equal to  2√10, which can also be written as 6 (n) + 4 (given)

The conversation society bought and planted 45 cherry trees. Each tree cost $367. What was the total cost of the planting trees? ​

Answers

Answer:

$16,515

Step-by-step explanation:

If one tree cost $367 that would mean if you got 45 of them you would have to do 45 x $367 which is $16,515

367

 45

x___

    1835

   14680

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

16,515

work out the number of students at the school

Answers

Answer:

1240 students

Step-by-step explanation:

not sure but I'm pretty sure its right.

Find the slope of the line whose equation is 8 y = 4 − 3 x .

Answers

Answer:

-3/8

Step-by-step explanation:

8y = 4 - 3x

~Divide 8 to everything

y = 1/2 - 3/8x

~Reorder

y = -3/8x + 1/2

In slope intercept form [ y = mx + b ] m resembles the slope so -3/8 is the slope.

Best of Luck!

The difference of a number divided by 2 and six is the same as -12

Answers

40 djdjfjxj d didjfjjxjd. Didjdjjxjdjdkdjd didjdjjdjd

write .0015 in scientific notation please help

Answers

0.0015 in scientific notation

= 1.5 × 10-3

1.5×10^3

hope i helped!

Jose originally had a rectangular rug with an area of 4.c? + 72 +3 square feet. He
decided to make a new rug that was smaller than his original rug. The area of the new rug
is 4x2
square feet
Which of the following expressions represents the difference between the area of his old
rug and the area of his new rug?

Answers

Answer:

7x + 3

Step-by-step explanation:

old - new =

(4x**2 + 7x + 3) - (4x**2) = 7x + 3

the ratio of zoes money to yolansa's is 3:7. Yolanda has $64 more than Zoe. If Yolanda gives (1)/(4) to zoe what is the new ratio of zoes money to yolanda

Answers

New Ratio = 19:21

This deals with ratios, fractions and basic arithmetics'.

The ratio of money of zoe to yolansa's own is 3:7.

Thus, the total part for each of them will be;

Zoe; 3/10

Yolansa; 7/10

If the total money they both have is x, then they will have;

Zoe; 3x/10

Yolansa; 7x/10

Now,Yolanda has $64 more than Zoe. Thus;

[tex]\frac{7x}{10}[/tex] - [tex]\frac{3x}{10}[/tex] = 64

Simplifying this gives;

[tex]\frac{4x}{10}[/tex] = 64

Rearranging gives;

4x = 640

x = 640/4

x = $160

Thus, originally;

Yolanda has [tex]\frac{7}{10}[/tex] × 160 = $112

Zoe has [tex]\frac{3}{10}[/tex] × 160 = $48

Yolanda now gives [tex]\frac{1}{4}[/tex] of her money to Zoe.

Thus, she gives out [tex]\frac{1}{4}[/tex] × 112 = $28

Thus,

Zoe now has; 48 + 28 = $76

Yolanda now has; 112 - 28 = $84

New ratio of zoes money to yolandas money is;

76:84

Simplifying this ratio gives;

19:21

Read more here; brainly.in/question/8398239

We are required to find the new ratio of zoes money to yolanda

the new ratio of zoes money to yolanda is 19:21

Ratio of zoes money to Yolanda's = 3:7.

Zoes = 3

Yolanda = 7

Total ratio = 3 + 7 = 10

let

x = Total money

Zoes = 3/10

Thus, the total part for each of them will be;

Zoe= 3/10x

Yolanda = 7/10x

Yolanda has $64 more than Zoe.

Therefore,

7/10x - 3/10x = 64

(7x - 3x) / 10 = 64

4x/10 = 64

cross product

4x = 64 × 10

4x = 640

divide both sides by 4

x = 640/4

x = $160

Original share:

Zoe = 3/10x

= 3/10 × 160

= 0.3 × 160

= $48

Yolanda = 7/10x

= 7/10 × 160

= 0.7 × 160

= $112

If Yolanda gives 1/4 to zoe

= 1/4 of 112

= 1/4 × 112

= 0.25 × 112

= $28

New Zoe's share = $48 + $28

= $76

New Yolanda's share = $112 - $28

= $84

Their new ratio = 76 : 84

divide by 4

= 19 : 21

Read more:

https://brainly.com/question/3796978

What is the value of 36x - 8y? when x = 3 and y = -6?

Answers

Answer:

156

Step-by-step explanation:

just plug in the x and y values

Is 5y + 27 factorable or prime
explain​

Answers

Answer:

Prime

Step-by-step explanation:

As there is no common between 5y and 7 except 1 as factor.Hence its not factorable
prime because it cannot be a factorable

Find the perimeter. Simplify your answer.
75+3
.
8s-4
85-4
7s+3

Answers

2(7s + 3) + 2(8s - 4) =

= 14s + 6 + 16s - 8 =

= 14s + 16s + 6 - 8 = 30s - 2 ← the end

4x - 3 = 2x + 5 please heeeeelp

Answers

Answer:

x=4

4x - 3 = 2x + 5

-2x +3 -2x +3

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

2x=8

--- --

2. 2

______

x=4

two members have a sum of 112. If one number is x, represent the other numbers as an expression in x

Answers

Based on the information given, the other number will be 112 - x

Value of the first number = x

Value of the second number = y

Sum of the numbers = 112

Therefore, the value of the second number will be:

x + y = 112

y = 112 - x

In conclusion, the value of the second number is 112 - x.

Read related link on:

https://brainly.com/question/24429956

For his birthday, Torin got $25 more from his grandmother than from his cousin. His uncle
gave him $10 less than his cousin. Torin received $291 total. How much did he receive
from his cousin?

Answers

Answer:

$92

Step-by-step explanation:

from cousin: x

from grandmother: x + 25

from uncle: x - 10

sum: 291


What digit occupies the tens places in the number 438,691

Answers

Answer:

9

Step-by-step explanation:

9 is in tens places muah kiss me

Compare using <, >, or =.


7 3/8 ___ 6 6/7


>

=

<

Answers

Answer:

>

Step-by-step explanation:

because 7 is greater than 6

must be marked as brainlist

-a2 - 2bc -lcl if a = -3, h = -5,
and c = 2

Answers

Answer:

24

plss mark me brainliesttt

Step-by-step explanation:

6+20-2

26-2

24

Which of the following figures displays an angle bisector?

Answers

An angle bisector cuts an angle perfectly in half. The picture with the two 58º angles is the one you want.

Show that a^5x(a^3)^2 can be expressed as a^11

Answers

Answer:

see below

Step-by-step explanation:

a^5*(a^3)^2

We know that a^b^c = a^(b*c)

a^5*a^(3*2)

a^5*(a^6)

We know a^b * a^c = a^(b+c)

a^(5+6)

a^11

Suppose PQ has one endpoint at
P(0, 0). If (2,5) is the midpoint of PQ, what are the
coordinates of point Q?

Answers

Step-by-step explanation:

The midpoint can be found with the formula.

midpoint = (x1+x2) /2 , (y1 + y2 )/2

 ( x1 , y1), and (x2 , y2 ) are the coordinates of two points, and the midpoint is a point lying equidistant and between these two points.

P = (0,0)

midpoint = (2,5)

x midpoint = 2 = (0+ x2)/2

×2 = 4

y midpoint = 5 = (y2+0 )/2

10 = y2

so the point Q is (4 , 10)

Rueben is six months old and naps twice a day. At 10 a. m. Rueben takes a 50 minute nap which is one-third the length of his 3 p. m. nap. Write and solve an equation to find the length of Ruebens 3 p.m nap.​

Answers

Answer:

x= 50(3) 150 minutes

Step-by-step explanation:

Ruebens 3p.m nap is three times as long as his 10a.m nap

the product of any integer and 10, ends in 0.
true or false?

Answers

Answer:

false. example: 6 x 10. 6 is an integer, but 6 x 10 = 60, not 0. hope this helps

Step-by-step explanation:

- Zombie

two numbers have a sum of 25. if one number is x, represent the other number as an expression in x

write as a algebraic expression plz like asap​

Answers

Answer:

x+n

Step-by-step explanation:

The expression for another number will be 25 - x.

What is an expression?

An expression is a combination of some mathematical symbol such that arithmetic operator and variable such that all are constrained and create an equation.

In other meaning, expression is very useful to determine the end or root value of constraint.

For example 3x +5y

The constraint of expression is represented as = or <, >.

Let's say another number is y

Then,

Sum of both number

x + y = 25

y = 25 - x

Hence "The expression for another number will be 25 - x".

To learn more about expression,

https://brainly.com/question/14083225

#SPJ2

If DE = X+1, EF = x-2, DF =15, and E is
between D and F. then DE = ?

Answers

Answer:

X =8

Step-by-step explanation:

DF = DE + EF

15 = X+1 + X-2

16 = 2X

X = 8

Which step in the construction of copying a line segment ensures that the new line segment has
the same length as the original line segment?

Answers

Answer:

The step two in the construction of copying a line segment ensures that the new line segment has the same length as the original line segment.

Step-by-step explanation:

The steps to copy a line segment:

1. Move the compass place to point P.

2. Change the span of the compass to the length of the first line portion (PQ).

3. Move the compass place to R.

4. Draw a bend that meets the line to one side of R.

Learn more about line segment, refer :

https://brainly.com/question/9716065

QUICKKK I NEED HELP!!!!!!!!!!!!

Answers

Answer:

A = -8

B = 27

X = 6

y = 3

z = 9

Step-by-step explanation:

hope that helps

Answer:

Below in bold.

Step-by-step explanation:

A = (-2)^3 = -8.

B = (3)^3 = 27.

j^(3*3) = j^9 and j^(1*3) = j^3

j^9 / j^3 = j^6

So x = 6.

y = 3.

m^(3 * 3) = m^9.

z = 3*3 = 9.

For problems 6-9, using the formula net Force
=
6)
a=2 m/s2
8 kg
F = m•a =

Answers

Answer:

16 Newton is the answer

Answer:

F=m.a

=8kg.2m/s²

=16kgm/s² ans/

Translate the following statement into an equation and solve for x

Answers

Answer:

104 = -13 x -8

Step-by-step explanation:

The reason you got it wrong is, I'm assuming, because of the way you formatted it. Try this and see if it works.

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