Use deductive reasoning to prove that x = 10 is the solution equation 3x – 7 = 23. Be sure to
justify each step in your proof.

Answers

Answer 1

Answer:

Step-by-step explanation:

3x-7=23

<=> 3x = 23 + 7

<=> 3x = 30

<=> X = 30 ÷ 3

<=> X = 10


Related Questions

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.

Given F is the midpoint of EG. FE is 6x + 7 and EG is 18x - 4. What is the value of x?

Answers

 Mid point of a segment divides the segment in two equal parts.

Value of x is 3.

  It's given in the question,

EG = (18x - 4)F is the midpoint of EG.

Therefore, EF = FG = (6x + 7)

And EF + FG = EG (By segment addition postulate)

Now substitute the values in the expression

(6x + 7) + (6x + 7) = (18x - 4)

12x + 14 = 18x - 4

12x - 18x = -14 - 4

-6x = -18

x = 3

            Therefore, the value of x is 3.

Learn more,

https://brainly.com/question/3225782

Need some help, please!

Answers

Answer:

Ans is D

In the figure, you are given that the radius is 10 inch. So, diameter will be 10*2= 20 inch.

Now,

C=πd

= 3.14*20 inch

=62.8 inch

4. Line segment CD is the perpendicular bisector of line
segment AB. Is line segment AB the perpendicular
bisector of line segment CD?

Answers

The line AB is not a perpendicular bisector of CD.

Perpendicular bisectors are lines that divides another line into two equal parts.

From the diagram, we can see that line CD cuts AB at the centre. Hence we can say that CD is a perpendicular bisector of AB.

The same is not applicable to line AB passing through CD. The line AB did not bisect (divide equally) line CD.

Hence we can conclude that line AB is not a perpendicular bisector of CD.

Learn more here: https://brainly.com/question/17335869

I need help with these problems from #33 to #40 can someone please help me with them ASAP please and thank you.. can you show step by step please and thank you .. this was due today

Answers

#33

[tex]\\ \sf\longmapsto \dfrac{300(300+1)}{2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{300(301)}{2}[/tex]

[tex]\\ \sf\longmapsto 150(301)=45150[/tex]

#34

[tex]\\ \sf\longmapsto \dfrac{500(500+1)}{2}[/tex]

[tex]\\ \sf\longmapsto 250(501)[/tex]

[tex]\\ \sf\longmapsto 125250[/tex]

#35

[tex]\\ \sf\longmapsto \dfrac{675(675+1)}{2}[/tex]

[tex]\\ \sf\longmapsto dfrac{675(676)}{2}[/tex]

[tex]\\ \sf\longmapsto 675(338)[/tex]

[tex]\\ \sf\longmapsto 228150[/tex]

#36

[tex]\\ \sf\longmapsto \dfrac{825(825+1)}{2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{825(826)}{2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{825(413)}{1}[/tex]

[tex]\\ \sf\longmapsto 340725[/tex]

#37

n=102/2=51

[tex]\\ \sf\longmapsto n^2[/tex]

[tex]\\ \sf\longmapsto 51^2[/tex]

[tex]\\ \sf\longmapsto 2621[/tex]

#38

n=49+1/2=50/2=25

[tex]\\ \sf\longmapsto n^2[/tex]

[tex]\\ \sf\longmapsto 25^2[/tex]

[tex]\\ \sf\longmapsto 625[/tex]

#39

n=999+1/2=1000/2=500

[tex]\\ \sf\longmapsto n^2[/tex]

[tex]\\ \sf\longmapsto 500^2[/tex]

[tex]\\ \sf\longmapsto 250000[/tex]

Find the 35th term in the arithmetic sequence 3, 9, 15, 21, …​

Answers

Answer:

208

Step-by-step explanation:

First term = a = 4

Common difference = d = a2 - a1 = 9 - 3 = 6

35th term = a + (35 - 1)d

4 + (35 - 1)6

4 + (34)6

4 + 204

208

Answer:

207

Step-by-step explanation:

An=A1+(n-1)×R

A35=3+(35-1)×(9-3)

A35=3+34×6

A35=3+204

A35=207

can someone help me please?

Answers

16x -4 = 28

Add 4 to both sides:

16x = 32

Divide both sides by 16:

X = 2

Answer:

2

Step-by-step explanation:

16x-4=28

16x=32

x=32/16

=2

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.

3. Simplify each expression
a. 5/8 + 3/16 =

Answers

Answer:

[tex] \frac{5}{8} + \frac{3}{16} \\ = \frac{5}{8} \times \frac{2}{2} + \frac{3}{16} \\ = \frac{10}{16} + \frac{3}{16} \\ = \frac{13}{16} \\ thank \: you[/tex]

Answer:

13/16

Step-by-step explanation:

first make equal denominators

(5/8) x 2 = 10/16

= 10/16 + 3/16

= 13/16

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!!

can someone solve this for me?

Answers

Answer:

9

Step-by-step explanation:

9 is 3/4*12.

-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

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!

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

Multiply.

(−2.07)(4.6)

Enter your answer in the box.

Answers

-9.522 it is so easy

Ronaldo catches the bus at 4:00 PM to ride 3.2 miles from his house to the dentist office. He arrives at 4:30 PM, for a one hour appointment. Then he rides a bus traveling at the same rate of speed for 4.8 miles to the soccer field. Is he on time for his 6:30 PM soccer practice? PLEASE HELP!!

Answers

The trip from home to dentist is 3.2 miles and takes (less than?) 30 minutes
The average bus speed is 6.4 miles/hour.
Since the dentist appointment finishes at 5:30pm and he has an hour to go 4.8 miles, he will be on time to soccer.

Bottled Juice Canned Juice Time (minutes) Cases packaged V 110 100 90 80 2 Cases 92 70 60 50 40 30 20 10 3 138 184 1 2 3 4 5 6 7 8 9 10 11 Minutes Fill in the blanks to compare the unit rates at which the cases are filled. I 1. What is the unit rate for bottled juice, in cases per minute? Explain how you found this unit rate. Write your answer in the space below. 2. what is the unit rate for canned juice, in cases per minute? explain how you found this unit rate. 3. are cans or bottles packaged at a faster rate?​

Answers

Answer:

320  

Step-by-step explanation:

hope this helps :)

i need help please, this question has been giving me a headache.

Answers

Answer:

The first box (upper left corner)

Step-by-step explanation:

Since the y-intercept is 1/4 (you can find this where x = 0), in slope intercept the second number must equal the y-intercept.

Example:

y = 3x + 2 (0,2) is the y-intercept.

Therefore, the second number must equal 1/4 which the first box is correct.

(Negative 1/4 multiplied by -1 equals positive 1/4)

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

How many Christmas trees were sold on sat and sunday?

Answers

Hello :D

Let's form an equation:

x/5 = 27

Let's form another equation:

(x+y)/7 = 34

Rearrange equation one so it is x = 27 x 5 = 135

Now we can substitute this value into equation 2:

(135 + y)/7 = 34

135 + y = 238

y = 238 - 135

y = 103

Answer is 103

Answer:

103 christmas trees.

Step-by-step explanation:

total trees sold in the first five days:

[tex]27 \times 5 = 135[/tex]

total trees sold in this week:

[tex]34 \times 7 = 238[/tex]

The answer is:

[tex]238 - 135 = 103[/tex]

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

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

Solve Y+3/5 = 1 1/10

Answers

Answer:

y = 1/2

Step-by-step explanation:

Y+3/5 = 1 1/10

Subtract 3/5 from both sides.

y = 1/2

How do I work this out (don’t tell me the answer) quickest reply gets brainiest

Answers

Answer:

2/7 divided by 3/4

So we can't divide fractions but what we can do is multiply them.

The First step is to do KCF (Keep, Change, Flip)

So It will be 2/7 TIMES 4/3. Keep 2/7 change the division sign to multiplication sign and flip 3/4 to 4/3. Now Multiply normally.

I hope this helps you find the correct answer <3

CALLING ALL EXPERTS, PLEASE HELP ME WITH MY HOMEWORK!! WORTH A LOT OF POINTS AND WILL GIVE BRAINLIEST!!

Answers

Answer:

1= 1 7/8 or 1.875

2= 235.75

3= 10 1/2 or 10.5

4=191.53

5=1 5/12 or 1.4166667

6=239.13

hope this helps

Answer:

1.

[tex] \frac{9}{4} [/tex]

2. 235.75

3.

[tex] \frac{21}{2} [/tex]

4. 191.53

5.

[tex] \frac{17}{12} [/tex]

6. 239.13

Step-by-step explanation:

1.

[tex]3 \times \frac{3}{8} - 1 \times \frac{1}{2} = 2 \times \frac{1}{4} or \: \frac{9}{4} [/tex]

2. 168.45 + 67.3 = 235.75

3.

[tex]6 \times \frac{3}{5} + 3 \times \frac{9}{10} = \frac{21}{2} [/tex]

4. 249.6 - 58.07 = 191.53

5.

[tex] \frac{5}{6} + \frac{7}{12} = \frac{17}{12} [/tex]

6. 334.16 - 95.03 = 239.13

Find the value of the variable
X=

Answers

Answer:

X=20º

Step-by-step explanation:

This is a vertical angle meaning both sides are congruent to each other.

Meaning: (x+100)º= 6x

Solve:

(x+100)º= 6x

-x              -x

100º=5x

/5 .     /5

x=20º

X=20 I think not sure

How did I do this ????

Answers

Answer:

I know the first one is 6, since there's 6 sides

The second one should be Plane BDHF, since those two are exactly the same

Don't know the third one

The fourth should be segments AC, EG, and FH since they're all the same

100divided 243 = ?
and bakugou or deku which one u guys like best

Answers

Answer:

0.411522634. dotn ask me how i got it (calculator)

Step-by-step explanation:

22. Jesse's fish hook was 12 feet below the top of the water. He let out
some of his line, and the hook sunk another 3 feet. What is the depth of the
fish hook now? Write an addition problem, and then give the answer.

Answers

9514 1404 393

Answer:

  15 ft below the top of the water

Step-by-step explanation:

We can let distances "below the top of the water" be represented by negative numbers. Then the initial height of Jesse's hook was -12 ft. Adding line allowed his hook to sink further:

  -12 +(-3) = -15

The depth of Jesse's hook now is 15 feet below the water surface.

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

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