Solve for x.
3x +1=7
6
Ox=12
O x = 4
x = 16

Answers

Answer 1

Answer:

x = 2

Step-by-step explanation:

3x + 1 = 7

3x = 7 – 1

3x = 6

x = 6/3

x = 2

Answer 2

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

Answer:  [tex]\textsf{x = 2}[/tex]

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

Given:  [tex]\textsf{3x + 1 = 7}[/tex]

Find:  [tex]\textsf{Solve for x}[/tex]

Solution: In order to isolate x we need to subtract 1 from both sides and the divide both sides by 3.

Subtract 1 from both sides

[tex]\textsf{3x + 1 - 1 = 7 - 1}[/tex][tex]\textsf{3x = 7 - 1}[/tex][tex]\textsf{3x = 6}[/tex]

Divide both sides by 3

[tex]\textsf{3x/3 = 6/3}[/tex][tex]\textsf{x = 6/3}[/tex][tex]\textsf{x = 2}[/tex]

Therefore, the value of x is equal to 2.


Related Questions

A sample of substance x that has a mass of 326.0 g releases 4325.8 cal when it freezes at its freezing point. if substance x has a molar mass of 58.45 g/mol, what is the molar heat of fusion for substance x? use q equals n delta h.. 13.31 cal/mol 74.00 cal/mol 775.6 cal/mol 19054.7 cal/mol

Answers

The molar heat of fusion for substance X , given the data is 775.6 cal/mol

How to determine the mole of the substance XMass = 326 gMolar mass = 58.45 g/molMole = ?

Mole = mass / molar mass

Mole = (326 / 58.45) moles

How to determine the heat of fussionMole (n) = (326 / 58.45) molesHeat (Q) = 4325.8 calHeat of fusion (ΔHf) = ?

Q = n × ΔHf

4325.8 = (326 / 58.45) × ΔHf

4325.8 = (326 × ΔHf ) / 58.45

Cross multiply

326 × ΔHf = 4325.8 × 58.45

Divide both sides by 326

ΔHf = (4325.8 × 58.45) / 326

ΔHf = 775.6 cal/mol

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Question 4 (Essay Worth 10 points)
(05.06; 05.07 MC)

A prism and two nets are shown below:

Image of a right triangular prism and 2 nets. The triangle bases have base 4, height 3, and diagonal side 5. The length of the prism from the bases is 8.6. Net A has 3 rectangles in a row. The middle one has sides AC and CD. This middle one has triangle ABC on top and identical triangle below. Net B is the same except that the triangle base ABC is on top of the last rectangle which has sides AC and CD. Units are in inches.

Part A: Which is the correct net for the prism? Explain your answer. (2 points)

Part B: Write the measurements of Sides AB, BC, and CD of the correct net. (4 points)

Part C: What is the surface area of the prism? Show your work. (4 points)

Answers

Answer:

115.2 in^2

Step-by-step explanation:

total surface area Stot = 113.2 in2

lateral surface area Slat = 103.2 in2

top surface area Stop = 6 in2

bottom surface area Sbot = 6 in2

HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
write and solve a proportion to complete the statement. Round to the nearest hundredth if necessary.
1. 6km ≈ ?mi
2. 2.5 L≈ ?gal
3. 90lb ≈ ?kg
pls help

Answers

From unit conversion, it is found the following results:

6km 3.73 mi

2.5 L 0.66 gal

90 lb 40.82 kg

Unit Conversion

Units of measurement are part of our daily lives. There are different units for area, length, volume, mass, and others.  Because of this, it is important to know converting them.

For solving this question you need some information as:

1 km = 0.621371 mi ( unit for length and distance)

1 L = 0.2641722 gallons (unit for volume)

1 lb = 0.453592 kg (unit for mass)

Therefore,

If 1 km = 0.621371 mi, you will have:

           1 km --------  0.621371 mi

           6 km --------  x mi

           x= 6* 0.621371

           x=3.73 mi

Thus, 6km ≈ 3.73 mi.

If 1 L = 0.2641722 gallons, you will have:            1 L--------  0.2647122 gal           2.5L --------  x gal            x= 2.5* 0.2647122            x=0.66 galThus, 2.5 L≈ 0.66 gal.If 1 lb = 0.453592 kg, you will have:            1 lb--------  0.453592 kg           90 lb --------  x kg            x= 90* 0.453592            x=40.82 kgThus, 90 lb≈ 40.82 kg.

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The coordinates of the vertices of △HIJ are H(−2,2), I(8,−2), and J(−4,−3). Identify the perimeter of △HIJ to the nearest tenth

Answers

Answer:

  28.2

Step-by-step explanation:

The perimeter of a plane figure is the sum of the lengths of its sides. Those lengths and their sum can be found a number of different ways.

__

graphing aid

The values computed by the graphing program in the attachment add up to 28.2 units.

__

using algebra

The length of each side of the triangle can be computed using the distance formula or the Pythagorean theorem. For a given "rise" and "run", the length of a line segment is ...

  d = √(rise^2 +run^2)

  HI = √((-4)^2 +10^2) = √116 ≈ 10.770

  IJ = √(1^2 +12^2) = √145 ≈ 12.042

  JH = √(5^2 +2^2) = √29 ≈ 5.385

The perimeter is the total of the lengths of the sides:

  P = HI +IJ +JH = 10.770 +12.042 +5.385 = 28.197

To the nearest tenth, the perimeter is 28.2 units.

Solve the equation for x by graphing.
-2x − 3 = 3x + 2

Answers

See attached photo. Have a nice day.

HELP PLEASE!!!!!!!!!!!!!!!!!!!

Answers

Answer:

D.) x - 4

Step-by-step explanation:

This is a graph of an exponential/quadratic function. There general structure looks like this:

ax² + bx + c

Generally, when finding the zeros these functions, you are told to factor the equation. Once you have factored the equation, you can set the factors equal to zero to find the points where the function touches the x-intercept.

That being said, you can determine the factors without having the entire equation by identifying the zeros on the function. On this graph, there is a zero at (4,0). This means that one of the factors must have been "x - 4". You can check your work by setting the factor equal to zero.

x - 4 = 0

x = 4

Given log subscript 4 baseline 3 almost-equals 0.792 and log subscript 4 baseline 21 almost-equals 2.196, what is log subscript 4 baseline 7?

Answers

The value of the logarithmic function log₄7 = 1.404, when the values of the logarithmic functions log₄3 = 0.792 and log₄21 = 2.196.

We are given the logarithmic functions:

log₄3 = 0.792 ,,, (i), and log₄21 = 2.196 ... (ii),

and we are asked to find the value of the logarithmic function log₄7.

On subtracting (i) from (ii), we get:

log₄21 - log₄3 = 2.196 - 0.792.

Using the quotient law of logarithms, according to which:

logₓa - logₓb = logₓ(a/b), we can write the above equation as:

log₄(21/3) = 1.404,

or, log₄7 = 1.404.

Therefore, the value of the logarithmic function log₄7 = 1.404, when the values of the logarithmic functions log₄3 = 0.792 and log₄21 = 2.196.

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Answer:

A.

1.404

Step-by-step explanation:

The diagram shows a cone with slant height 10.5cm. If the curved surface area of the cone is 115.5cm². calculate correct to 3 Significant figures, the base radius, r ,height h Volume of the cone [take π 22/7]

Answers

The volume of the cone is V = 381.15 cu.cm

What is the Curved Surface Area of the cone ?

The curved surface area of the cone is given by

A = πrl

The slant height given in the question is

l = 10.5 cm

A = 115.5 sq.cm

radius = ?

Height = ?

Volume = ?

Using the Curved Surface Area Formula

115.5 = π * r * 10.5

taking π = 22/7

r = 3.5 cm

The slant height is given by

[tex]\rm l = \sqrt{ r^2 + h^2}[/tex]

Therefore the height is

[tex]\rm h = \sqrt{ 10.5^2 -3.5^2}[/tex]

h = 9.9 cm

The volume of the cone is

V = π r²h

V = (22/7) * 3.5 * 3.5 * 9.9

V = 381.15 cu.cm

The volume of the cone is V = 381.15 cu.cm

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Rectangular prism with a length, width, and height of 3/5 cm, 4/5cm, and 3/5 cm, respectively

Answers

The volume of the rectangular prism is 36/125 cm³.

What is the volume?

A rectangular prism is a three-dimensional shape. It also known as a cuboid.

Volume = length x width x height

3/5 x 4/5 x 3/5 = 36/125 cm³

Here is the complete question :

Rectangular prism with a length, width, and height of 3/5 cm, 4/5cm, and 3/5 cm, respectively. Find its volume?

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prove that (1- cos(pi)/(8))(1-cos(3 pi)/(8))(1-cos(5 pi)/(8))(1=cos(7 pi)/(8))=(1)/(8)

Answers

Step-by-step explanation:

1&$)&(5$6$5*-_+_7&'+&-^€=%

Shape R is reflected in
a) What are the coordinates of C'?
Then R' is translated by (-3)
-6
R
=
-5 -4 -3 -2 -1
b) What are the coordinates of C"?
Y
5+
4-
3-
2+
1
- 1 to give R'.
-1-
-2-
--3-
-4-
--5+
1
to give R".
2
3 4
sit
5
X

Answers

The new coordinates of C is (-5,2), (-5,5) (-7,3) (-7,5)

The correct question is

Shape R is reflected in x axis and is translated by (-3, 0) , What will be the coordinates of the new figure

The figure is attached with the answer.

What happens when a figure is reflected on an axis ?

When  a figure is reflected along any axis , the coordinate of the axis on which it is reflected remains the same while the other coordinate vis the additive inverse of the given coordinate

It is given that the coordinate point of R

(-2 ,-2) , (-2,-5) (-4,-3) (-4,-5)

When it is reflected along x axis the new coordinates are

(-2 , 2), (-2,5) (-4,3) (-4,5)

and when translated by -3,0

(-5,2), (-5,5) (-7,3) (-7,5)

Therefore the new coordinates of C is (-5,2), (-5,5) (-7,3) (-7,5)

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this is hard for me could smone help me ASAP please?

Answers

Answer:

x is 90°

y is 56°

Step-by-step explanation:

Concepts used :

The angle subtended by a diameter inside the circle is always 90° .

Sum of interior angles of a triangle is 180°.

Here x is the angle subtended by the diameter of the circle therefore ,

x is 90°.

let the end points of diameter  as A , B

and the point where the it subtends the 90° angle be C

using interior angle property on the triangle  ΔABC

90° + 62° + ∠A = 180°

152° + ∠A = 180°

∠A = 180° - 152°

∠A  =  28°

now let he midpoint of diameter as D

as the sides DC and DA are radius of circle  and therefore equal

so using isosceles triangle property which states that angle opposite to equal sides are equal

so the angle ∠ACD = 28°

now using exterior angle property on ΔADC

y = 56°

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Use the drawing tools to form the correct answer on the graph. Graph the line that represents this equation: y=-5x+2

Answers

An equation is formed of two equal expressions. The graph for the given situation can be drawn as shown below.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.

The graph for the given equation y=-5x+2 can be drawn as shown below.

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i need help filling in the blanks
Complete the steps to solve the equation above.




2x + 5 = 4x - 1


+ +


After adding on both sides, the equation looks like this:


2x + = 4x




Now it's time to the combine like terms and .


2x + = 4x




- -


After subtracting on both sides, the equation looks like this:


=




Finally, we divide by on both sides, and we have solved the equation!


x is equal to .

Answers

The 3 steps to solve the algebra equation have each sub step as explained and written below.

How to solve algebra problems?

We are given the algebraic equation;

2x + 5 = 4x - 1

Step 1; After adding 1 to both sides, we have;

2x + 5 + 1 = 4x - 1 + 1

2x + 6 = 4x

Step 2; We subtract 3x from both sides to get;

2x - 2x + 6 = 4x - 2x

2x = 6

Step 3; Divide both sides by 3 to get;

2x/2 = 6/2

x = 3

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Kevin and Randy Muise have a jar containing 65 ​coins, all of which are either quarters or nickels. The total value of the coins in the jar is ​$8.65 .How many of each type of coin do they​ have?

Answers

36 I think, I don’t really know so I’m sorry if it’s wrong.
34 quarters 3 nickels

solve X/3 + 5/2 = -3/2 pls pls ​

Answers

Answer:

X=-12

Step-by-step explanation:

Subtract -5/2 on both sides:

X/3+5/2-5/2=-3/2-5/2

X/3=-8/2

X/3=-4

Multiply both sides by 3:

X/3*3=-4*3

X=-12

Answer:

x = -12

Step-by-step explanation:

To solve for x, we always want to isolate x {isolate = getting it by itself}

So, for the equation: X/3 + 5/2 = -3/2

we should first get x on its own side:

[tex]\frac{x}{3}+\frac{5}{2}=-\frac{3}{2}[/tex]

   [tex]-\frac{5}{2}[/tex]     [tex]-\frac{5}{2}[/tex]      {subtract 5/2 from both sides} {-3/2 - 5/2 = -8/2}

[tex]\frac{x}{3} = -4[/tex]

×3     ×3            {multiply both sides by 3 to find "1"x}

x = -12

check:

-12/3 + 5/2 = -3/2

-4 + 5/2  = -3/2

(5/2 = 2 [tex]\frac{1}{2}[/tex]  ;   2 [tex]\frac{1}{2}[/tex] - 4 = -1 [tex]\frac{1}{2}[/tex])

-1 [tex]\frac{1}{2}[/tex] = -3/2      {3/2 = 1 [tex]\frac{1}{2}[/tex]}

-1 [tex]\frac{1}{2}[/tex] = -1 [tex]\frac{1}{2}[/tex]

{TRUE}

so, x = -12

hope this helps!!

Which of the following is most likely the next step in the series?

Answers

Answer:

I think the answer is B

Step-by-step explanation:

Find the missing side of each triangle. Leave your answers in simplest radical form.
2√3 m
A) √ 19 m
c) √5 m
O a
a
Ob b
Oc
√7m
C
Od d
B) √17 m
D) √√2 m

Answers

Answer:

C [tex]\sqrt{5}[/tex]

Step-by-step explanation:

Use pythagorean theorem.

[tex]x^{2}[/tex] +[tex]\sqrt{7} ^{2}[/tex] = (2[tex]\sqrt{3}) ^{2}[/tex]    

[tex]x^{2}[/tex] + 7 = 12   Subtract 7 from both sides

[tex]x^{2}[/tex] = 5           Take the square root of both sides to solve

x = [tex]\sqrt{5}[/tex]

in a dilation, what is preserved and what is altered?

Answers

Answer:

A dilation preserves angle measures.

A dilation alters the length of line segments by the same proportion.

Step-by-step explanation:

A dilatation is a transformation that alters a figure's size while maintaining its shape and orientation. Each linear measure of the figure, such as a side length, is multiplied by the scale factor of a dilatation. A dilation is a transformation where all line segments' lengths are altered uniformly. While a dilatation can alter a figure's size, it cannot alter a figure's form. Dilations are not isometries as the figure's size changes.

1) Which statement is needed to fill in the blank in this syllogism? If two lines are parallel, then ____________________. If the lines never intersect, then the lines have the same slope. Therefore, if two lines are parallel, then the lines have the same slope.

A) the lines have the same slope

B) the lines never intersect

C) the lines have the same equation

D) the lines are continuous

Answers

Answer:

B) the lines never intersect

Step-by-step explanation:

okay essentially, syllogism is formatted in a repetitive way

it's something like:

if "a" are "b"

and "b" are "c"

then "a" are "c"

(a = b

b = c

logically, c = a)

(idea, thing related to idea, conclusion relating the two)

hope this helps!!

Answer:

the lines never intersect

Step-by-step explanation:

Syllogisms are connected by a shared statement that connects a hypothesis to a different conclusion.

Solve |2x - 6| < 10

{x|-2 < x < 8}
{x|2 < x < 8}
{x|-8 < x < 8}

Answers

0 lakalallalallllala

Think about the zoo meals in another way. Many different foods are prepped in the commissary for the
animals. Though each animal has a very specific combination of foods, there may be foods repeated in diets
for different animals. For example, cabbage may be used in the morning meals for 20 different animals. If
the food is the input, and the animal is the output, is this relationship a function?

Answers

Answer:

89

Step-by-step explanation:

Triangle rst is dilated by a scale factor of 5 to form triangle r's't'. side r's' measures 40. what is the measure of side rs?

Answers

Answer: 8

Step-by-step explanation:

We know that scale factor = (image)/(preimage).

Substituting in what we have,

[tex]5=\frac{R'S'}{RS}\\\\5=\frac{40}{RS}\\\\RS=\boxed{8}[/tex]

Answer:

Step-by-step explanation:

We know that r's't' was formed by a scale factor of 5.

This means rst was multiplied by 5 to create r's't'.

Dividing the sides of r's't' by 5 will give us the sides of the

pre-image.  If r's' = 40 - dividing 40 by 5 = 8.

So rs is 8.

this is not the answer i was looking for

Answers

oh okay sorry about it

Two piecewise functions are shown below. What is the value of
6f (-2) + 3g (1)?
f(x) =
0-7
O-25
1/3
O 18
{
-3x
*+2'
if x < -2
³, if x ≥-2
(2|x-1| +3,
-5√x+3-1,
g(x) =
={
if x ≤ 1
if x > 2

Answers

Step-by-step explanation:

I am not sure what your problem here is.

you understand the inequality signs ?

anyway, to get

6×f(-2) + 3×g(1)

we can calculate every part of the expression separately, and then combine all the results into one final result.

f(-2)

we look at the definition.

into what category is -2 falling ? the one with x<-2, or the one with x>=-2 ?

is -2 < -2 ? no.

is -2 >= -2 ? yes, because -2 = -2. therefore, it is also >= -2.

so, we have to use

1/3 x³

for x = -2 that is

1/3 × (-2)³ = 1/3 × -8 = -8/3

g(1)

again, we look at the definition.

into what category is 1 falling ? the one with x > 2 ? or the one with x <= 1 ?

is 1 > 2 ? no.

is 1 <= 1 ? yes, because 1=1. therefore it is also <= 1.

so we have to use

2×|x - 1| + 3

for x = 1 we get

2×0 + 3 = 3

6×f(-2) = 6 × -8/3 = 2× -8 = -16

3×g(1) = 3× 3 = 9

and so in total we get

6×f(-2) + 3×g(1) = -16 + 9 = -7

Pls help!!!!!!!!!!!!!!!!

Answers

Answer:

D: 6.5, 3

C: 23.5, 9

I think

Answer:

C (23.5, 9)

D (6.5, 3)

Fluffy the bunny ate 1/2 of a carrot in the morning, and he ate some more at night. By the end of the day, he still had 1/3 of the carrot left to eat. How much of the carrot did Fluffy the bunny eat at night?

Answers

Answer:

1/6

Step-by-step explanation:

the total carrot is 1/1 and fluffy ate 1/2 of it . this means half has been eaten and it is left with half so now 1/2 -1/3 ( carrot left in the morning - the carrot left now ) this will be 1/6

Members of a lacrosse team raised $2412.50 to go to a tournament. They rented a bus for $1072.50 and budgeted $67 per player for meals. Determine the number of players the team can bring to the tournament. Please step by step

Answers

Answer:

20 Players

Step-by-step explanation:

Total Amount of Money: $2412.50

First the team rented us a bus for $1072.50

Subtract the bus from the total

$2412.50 - $1072.50 = $1340

Total Amount of Money after bus: $1340

From there we need to find the max number of players that can go.

The budget cost for each player is $67.

So we divide the remaining money by $67 to find the number of players that can go.

$1340/$67 = 20 Players.

Please mark brainliest and click thanks.

Hope this helps!

Loss = 10% VAT=13% SP WITH VAT=25,425 now calculate CP

Answers

The cost price of the product will be 25000.

How to calculate the price?

From the information given, the cost price is 25000. The loss is 10%. This will be:

= 25000 - (10% × 25000)

= 25000 - 2500

= 22500

The tax is 13%. This will be:

= 22500 + (13% × 22500)

= 22500 + 2925

= 25425

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Choose the variable expression that matches this phrase.
the sum of the number of crew members on the tour boat and the 5
passengers.
A. 5-c
B. 5c
C. 5+ c
D. 5÷c

Answers

The sum of the number of crew members (c) on the tour boat and the 5 passengers is 5 + c. Then the correct option is C.

What is an equivalent expression?

The equivalent is the expressions that are in different forms but are equal to the same value.

The sum of the number of crew members (c) on the tour boat and the 5 passengers.

This can be written as in the form of the mathematical form.

⇒ 5 + c

Then the correct option is C.

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Other Questions
Read the text below and select the correct verbs to match the subjects.My friends and I going to go camping together this weekend.A good team captain must others how to behave on the pitch.Neither my dad nor my brother working today. 6. Find the distance between points A = (2, 0) and B = (0, 9). Round your answer to the nearesttenth. help i am struggling All of the following were ways that helped ideas spread throughout Europe during the Renaissance era except which? All of the following were ways that helped ideas spread throughout Europe during the Renaissance era except which ?A. EncyclopedieB. TelegramsC. Moveable type Step 1: Read each section of the scenario on your own. a) If you have questions about how to complete this assignment, ask your teacher for assistance. b) If you need help understanding any of the terms or equations used in the scenarios and questions, ask your teacher for assistance. Step 2: Participate in a group discussion to answer the questions in each section. a) Meet with your assigned group to discuss the questions for each scenario. b) Remember to take notes and follow the rules for group discussions. c) Use your notes from the discussion to answer the questions. Step 3: Use this checklist to evaluate your project. If you can check each box below, you are ready to submit your project. Did you read each scenario carefully? Did you participate in the group discussion? Did you take notes during the discussion? Did you support your ideas with facts and details from the scenarios? Did you use your notes from the discussion to answer the questions? Is your worksheet free of errors in spelling and grammar 10(x + 2) + 10 2 for x = 2 Hey! can someone give me a step-by-step explanation on how to solve this problem correctly? I know for a fact that I did it incorrectly. if the first term is -2 and the rule is multiply by 6 and then subtract 13 whats the 3rd term lexia ran three laps around her neighborhood. Each lap is 1 and StartFraction 3 over 8 EndFraction miles. Which is the best estimate of the number of miles that Alexia ran?2 miles3 and one-half miles4 and one-half miles6 miles which number produces a rational number when added to 0.53 4 Many tourists to China want to see giant pandas. Suggest how this could be used to help to conserve the pandas. Under the perpetual system, cash freight costs incurred by the buyer for the transporting of goods is recorded in which account? which architecture is considered as traditional style and why class 9 Tyrone paid $234.33 for a new watch, after-tax, and the tax rate is 7%. What was the original price of the watch? 6.67 x 10-3 g of arsenic (As) is found in a 0.600 L sample of water. If the density of thissample is 1.00 g/mL, what is the concentration of arsenic in ppm? During the late 19th and early 20th centuries, u.s. foreign policy was closely tied to domestic economic concerns. the annexation of hawaii, the open door policy with china, and the construction of the panama canal in latin america were all motivated by an interest in What about Earth allows it to maintain bodies of water?OA. Weak gravity and high temperaturesOB. Moderate temperatures and strong gravityC. Strong magnetic fields and lunar tides OD. Comet crashes and mountains 27.9km to the nearest km Which eye structure is primarily responsible for making the adjustments required to focus on objects both near and far?. Evidence in the myths "The Maori: Genealogies and Origins in New Zealand and "The Raven and the First Men: The Beginnings of the Haida shows that the Maori and Haida cultures are moresimilar than different because they have important values in common.different than similar because they have such different origins.similar than different because they both are controlled by their gods.different than similar because they live in different parts of the world.