Solve and describe the steps used to find x for the equation 4 (x+4) – 10 = 14 ​

Answers

Answer 1

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

Given equation:

[tex]4(x+4)-10=14[/tex]

Add 10 to both sides:

[tex]\begin{aligned}4(x+4)-10+10 & =14+10\\ 4(x+4) & =24\end{aligned}[/tex]

Divide both sides by 4:

[tex]\begin{aligned}\dfrac{4(x+4)}{4} & =\dfrac{24}{4}\\ x+4 & =6\end{aligned}[/tex]

Subtract 4 from both sides:

[tex]\begin{aligned}x+4-4 & =6-4\\x & =2\end{aligned}[/tex]

Therefore, the solution is [tex]x=2[/tex]

Answer 2

Answer:

x = 2

Step-by-step explanation:

To solve the expression, we need to isolate the "x" variable. Start out by simplifying the distributive property on the left hand side.

⇒ 4(x + 4) - 10 = 14⇒ 4x + 16 - 10 = 14

Simplify the left hand side as needed to determine the "x" variable.

⇒ 4x + 6 = 14

Subtract 6 both sides to isolate the "x" variable and it's cooeficient.

⇒ 4x + 6 - 6 = 14 - 6⇒ 4x = 8

Divide both sides by 4 to isolate the "x" variable. Our solution will be a constant on the right hand side.

⇒ 4x/4 = 8/4⇒ x = 2

Thus, the value of x is 2.


Related Questions

HELPP ASAPP
FIRST PERSON GET BRAINIEST

Answers

Answer:

2,6 / Number 3

Step-by-step explanation:

Thats the right answer

Answer:

(2,6)

Step-by-step explanation:

moving 3units to the left gives (2,4) and 2units above gives (2,6) finally

Triangle JKL has vertices at the following coordinates: J(2, 2), K(-1, 3), and L(-2, -1). Determine whether or not triangle JKL is a right triangle. Show all calculations for full credit.

Answers

Triangle JKL is not a right triangle because its side lengths are not a Pythagorean triple.

What is a Right Triangle?

A right triangle is a triangle, whose set of sides are Pythagorean triple, that is, the square of the longest side equals the sum of the square of the other shorter sides.

Find the lengths of the sides of triangle JKL given:

J(2, 2)

K(-1, 3)

L(-2, -1)

Using the distance formula, [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex], we have:

JK = √[(−1−2)² + (3−2)²]

JK = √10

KL = √[(−1−(−2))² + (3−(−1))²]

KL = √17

JL = √[(2−(−2))²+(2−(−1))²]

JL = √25

JL = 5

JL is the longest side. If triangle JKL is a right triangle, then, JL² = JK² + KL²

Plug in the values to confirm

5² = (√10)² + (√17)²

25 = 10 + 17

25 ≠ 27 (Not true)

Therefore, triangle JKL is not a right triangle because its side lengths are not a Pythagorean triple.

Learn more about right triangle on:

https://brainly.com/question/2437195

An ellipse has focused F1 (-2,4) and F2 (0,7) and the point (4,4) is on the ellipse. Identify the constant sum for the ellipse.

Answers

Answer:

please solve this quickly tommorow is my maths exam

Answer:

11

Step-by-step explanation:

What net is shown below?
triangular prism
rectangular prism
O square pyramid
triangular pyramid

Answers

Answer:

Rectangular Prism

as Opposite sides are equal

Answer:

rectangular prism because it has dimensions of 5 sides and if you fold it, it would turn into a rectangular prism

2root 3 + root 3 is equal to?

Answers

Answer:

i believe the answer is C

Step-by-step explanation:

Answer:

(C) 3√3

Step-by-step explanation:

Think of √3 as x.

Then 2x + x = 3x, so

2√3 + √3 = 3√3

Write the phrase “the sum of 3 times a number and 5” as a mathematical expression.

Answers

Answer:

[tex](3*x)+5[/tex]

Step-by-step explanation:

Let the variable x equal "a number"

The phrase times means we multiply the variable x by the constant 3.

The phrase sum of means we add the constant 5 to the term (3 * x).

[tex](3*x)+5[/tex]

Answer: 3x + 5 that's the answer i had to type this cause the answer was to short to post lol

solutions answer equations ​

Answers

Answer:

x² - 6x = 7

x² - 6x + 9 = 7 + 9

(x - 3)² = 16

x - 3 = ± 4

x - 3 = 4 and x - 3 = -4

x: {-1, 7}

Largest value of x = 7

Smallest value of x: -1

I hope this helps!

5 Write an equation for each of the following and solve it. (a) The sum of one-sixth ofx and -9 is -25.​

Answers

Answer:

x= -96

Step-by-step explanation:

1

[tex] \frac{x}{6} + ( - 9) = - 25 \\ \frac{x}{6 } = - 25 - ( - 9) \\ \\ \frac{x}{6} = - 25 + 9 \\ \frac{x}{6} = - 16 \\ x = - 16 \times 6 \\ x = - 96[/tex]

Answer:

[tex]\huge\boxed{\bf\: Equation \rightarrow \frac{1}{6}*x - 9 = - 25}[/tex]

[tex]\huge\boxed{\bf\: Solution \rightarrow - 96}[/tex]

Step-by-step explanation:

Take the variable as 'x'.

Let's breakdown the given statement.

⅙th of x =⅙*xThe sum of ⅙*x & - 9 = ⅙*x + (-9)Is equal to = ⅙*x + (-9) = - 25

Given equation,

⅙*x - 9 = - 25

By solving,

⅙*x - 9 = - 25

⅙*x = - 25 + 9

⅙*x = - 16

x = - 16 * 6

x = [tex]\boxed{\bf\: - 96}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

which term describes the point where the three medians of a triangle intersect?

Answers

Answer: It is the centroid of a triangle or A. Centroid  

Step-by-step explanation:The centroid of a triangle is the intersection of the three medians of the triangle (Where each median connecting a vertex with the midpoint of the opposite side)

The incenter of a triangle is the point where the angle bisectors of the all vertices of the triangle intersect.

The orthocenter of the triangle is the point where all three altitudes of the triangle intersect. where An altitude is a line which passes through a vertex of the triangle and is perpendicular to the opposite side.

The circumcenter of the triangle is the point where the perpendicular bisector of the sides of the triangle intersect.

Multiply.


8×3/5


Enter your answer as a mixed number in simplest form by filling in the boxes.


$$

Answers

Answer:8x3/5=4.8

Step-by-step explanation:

Answer:

in simple form its 4.8

for a improper fraction its 43/5

I will comment for the mixed number but if this is correct can u mark me brainliest

PLEASE I’LL MARK BRAINIEST

Simplifying expressions by combining like terms

2t - t - t + 5t + 6t + 10t

Answers

21(t)

Explanation:

[tex]\dashrightarrow \sf \ \ 2t-t-t+5t+6t+10t[/tex]

combine similar terms

[tex]\dashrightarrow \sf \ \ 5t+6t+10t[/tex]

addition

[tex]\dashrightarrow \sf \ \ 21t[/tex]

Answer:

21t

Step-by-step explanation:

2t-t-t+5t+6t+10t

=2t-t-t=0

Then,

         5t+6t+10t = 21t ans.

A farm grew 19.8 tons of wheat in 2013. The farm's wheat output increased by 9.8% from 2013 to 2014 and by 5.1 % from 2014 to 2015. Which expression represents a strategy for estimating the total output of wheat, in tons, in 2015?

Answers

Answer:

19.8 X 0.098 = 1.9404
increased 1.9404 from 2013 to 2014

19.8 + 1.9404= 21.7404

increasses another 5.1% for 2014 to 2015

21.7404 X 0.051 = 1.1087757

1.1087757 + 21.7404 = 22.8491757

Total output of wheat for 2015 is 1.11

Total output of wheat 22.85 rounded off

Step-by-step explanation:

pls help me i will mark as brilliant​

Answers

Step-by-step explanation:

total number of student = 900number of girls = 300

1) to find the number of boys

number of boys = total no. of students - no. of girls

= 900 - 300

= 600

2) to find the ratio of boys and girls

ratio of boys and girls = no. of boys : no. of girls

= 600 : 300

= 200

3) ratio of boys and total no. of students

= 600 : 900

= 200: 300

= 2:3

4) ratio of girls and total no. of students

= 300 : 900

= 1:3

5)ratio of girls and boys

= 300 : 600

= 1:2

PLEASE HELP PLEASE PLEASE HELP

Answers

Answer:

Blue stars are the hottest stars.

BRAINLLY!!! PLEASE HELP I'll GIVE BRAINLY!!!!

Answers

Answer: 495

Step-by-step explanation:

Since the foil covers the object and does not fill it, this problem is a matter of surface area rather than volume. Surface area is finding the area of all the faces, and adding them up.

Since we know the two triangular ends are not covered, this actually makes the problem easier.

Going with our definition of surface area above, we do:

(16.5 * 13) + (16.5 * 12) + (16.5 * 5) = 495

Our answer is 495

Answer:

C: 495ft²

Step-by-step explanation:

You need to calculate and add the surface area of the three rectangular faces of this prism. The two triangular ends are not covered in the foil as stated in the question. You find this like any other rectangle by multiplying the length by the width. (a = lw)

Let's start with the bottom rectangle, it has dimensions of 5x 16.5ft

5 * 16.5 = 82.5

Now the rectangle on the right side.

13 * 16.5 = 214.5

Now the left or back side rectangle.

12 * 16.5 = 198

Now add these values together

82.5 + 214.5 + 198 = 495ft²

(b) An Investment is estimated to grow at the rate al 15% per annum. If the worth of the Investment now is ¢850,000 i. What will its worth be in the 6th year? What is the percentage increase in its worth after 6th year? In what year will the investment worth ¢3.23million ?​

Answers

Answer:

~9.6 years it will be worth 3.23 mil.    

Step-by-step explanation:

This problem requires use of the growth formula.

PART 1:

Equation:

[tex]3,230,000 = 850,000 * (1.15)^6[/tex]

By solving this you get:

A valuation of $1,966,101.65078125 after 6 years

PART 2:

Equation:

[tex]3,230,000 = 850,000*(1+.15)^x[/tex]

By solving this (which im too lazy to show the steps for) you get:

x = years

x = ~9.6 years / 9.55196417 years

50 POINTS! Please help me! I give Brainliest!
1. Given the following coordinates, complete the listed transformations in sequence, which means you do one after the other.
X(2, 4)
Y(5,-3)
Z(-7, 1)
a) Rotate the points 90 degrees clockwise
b) Dilation by a scaling factor of 2
c) Reflect across the x-axis
d) Translation 2 Up and 5 to the Left

4 PARTS TO THIS QUESTION! ANSWER ALL PLEASE!

Answers

#1

Clockwise 90° rotation rule (x,y)—»(y,-x)

X'=(4,-2)Y'=(-3,-5)Z'=(1,7)

#2

Dilation of scale factor 2

X''=(4×2,-2×2)=(8,-4)Y''=2(-3,-5)=(-6,-10)Z''=2(1,7)=(2,14)

#3

reflection across x axis rule (x,y)—»(x,-y)

X'''=(8,4)Y'''=(-6,10)Z"'=(2,-14)

#4

Rule for given translation (x-5,y+2)

X""=(8-5,4+2)=(3,6)Y""=(-6-5,10+2)=(-11,12)Z""=(2-5,-14+2)=(-3,-12)

Answer:

Given points:

X = (2, 4)Y = (5, -3)Z = (-7, 1)

Part (a)

Rotate 90° clockwise (about the origin): (x, y) → (y, -x)

X' = (4, -2)Y' = (-3, -5)Z' = (1, 7)

Part (b)

Dilation by a scale factor → multiply the points by the scale factor

scale factor = 2

X'' = (8, -4)Y'' = (-6, -10)Z'' = (2, 14)

Part (c)

Reflect across the x-axis:  (x, y) → (x, -y)

X''' = (8, 4)Y''' = (-6, 10)Z''' = (2, -14)

Part (d)

Translate 2 up and 5 to the left:  (x, y) → (x - 5, y + 2)

X'''' = (3, 6)Y'''' = (-11, 12)Z'''' = (-3, -12)

A line has a slope of 2 and a y-intercept of -3/4 which of the following is an equation of the line​

Answers

Answer:

y = 2x - 0.75

Step-by-step explanation:

Slope-intercept form is:

y = mx + b

m being the slope and b being the y-intercept.

The given slope and y-intercept:

⇒ Slope ⇒ 2

⇒ Y-intercept ⇒ -3/4

Plug in:

⇒  y = 2x - 0.75 (3/4)

Show 9/12 as the sum of unit fractions

Answers

[tex]\cfrac{9}{12}\implies \cfrac{1+1+1+1+1+1+1+1+1}{12} \\\\\\ \cfrac{1}{12}+\cfrac{1}{12}+\cfrac{1}{12}+\cfrac{1}{12}+\cfrac{1}{12}+\cfrac{1}{12}+\cfrac{1}{12}+\cfrac{1}{12}+\cfrac{1}{12}[/tex]

Answer:

1/4 +1/4 +1/4

or add 1/12 9 times

Step-by-step explanation:

9/12

try to find the greatest common factor of both the numerator and denominator.

(a number that you can divide both the top number and bottom number with)

in this case, the greatest common factor is 3. once you divide the numerator and denominator by 3, it leaves you with a fraction 3/4

you can add 1/4 3 times to get 9/12

1/4 +1/4+1/4

or you could just add 1/12 9 times

Identify the indicated angles as Adjacent, vertical, linear, or complimentary

Answers

Angles A and B are vertical angles
This is an vertical angle, because the angles are opposite eachother

PLEASE HELP ILL GIVE THANKS, 5.0, AND BRAINLIEST TO WHOEVER ANSWERS CORRECTLY PLEASE HELP AND ILL GIVE A HIGH POINT COUNT
Sophie bikes at a speed of s miles per hour. Her friend Rana is slower, her biking
speed is only r miles per hour.
Tomorrow both girls are planning to spend 3 hours biking. How much longer will be
Sophie's route?

Answers

Answer:

FOR THIS PROBLEM I GOT..... (20/r)-(20/s)

Step-by-step explanation:

pls brainlest mee

Classify the following triangle as acute, obtuse, or right.
A. Obtuse
B. Acute
C. Right
D. None of these

Answers

Answer: this is a acute triangle

Step-by-step explanation: acute triangle angles are all less than 90°

On a map 0.5 inches is equal to 5 miles. Suppose Washington, D.C. is 1.25 inches from Baltimore Maryland. How far are the two cities apart ?

Answers

The two cities would be 12.5 miles apart.

Which of the following algebraic expression represents 2 less than 3 lots of n? (A) - (B) (C) 3(n - 2) 2 – 3n 3 + n - 2 3n - 2 (D)​

Answers

Answer:

D

2 less than means 2 to be subtracted3lots of n means 3 to be multiplied with n i.e 3n

Hence the expression is 3n-2

id
11. A chessboard has diagonals of length
40 cm. What is the length of each side of the
board, to the nearest tenth of a centimetre?
Explain your reasoning.

Answers

Answer:

√800 = 28 cm

Step-by-step explanation:

Your c value is 40cm beacause c=length of the hypotenuse, or in this case the diagonal of the chess board.

You now have 2a2=402.

Start solving it:

2a2=402

2a2=1600

(2a2)/2=1600/2

a2=800

√(a2)=√800

a=√800 cm

You can plug this back in to check your answer, and also be sure that a=b is true.

a2+b2=c2

(√800)2+(√800)2=c2

800+800=c2

1600=c2

√1600=√c²

40=c

A six sided die is tossed. Determine the odds against rolling a four

Answers

Answer:

i think the answer would be 1/6 because 6 sides 1 number per side

Find the missing sides

Answers

Answer:

i believe _=6 (the horizontal side, as it says on the picture,) | = 6 (the vertical side,) and \ = 8.48 (the diagonal)

Step-by-step explanation:

To find the diagonal, you have to use the Pythagorean Theorem, which is a^2 + b^2 = c^2

So, a and b both equal 6, square both of those, you got 36 for each.

Now, add them together and youll get 72

The square root of 72 is around 8.48

Although, im not entirely sure if thats correct or not, so i wouldnt really recommend putting this as your answer :|

please help
Find the volume of each prism. Round to the nearest tenth if nessary ​

Answers

5.2(2)*6=
5.2(2)*6=
I think it’s right

Can y’all figure out the answer for me please

Answers

The answer is A. True.

Hope this helps

Answer:

True

Step-by-step explanation:

Two triangles are similar { ~ } only when they have same shape. And as these figures have same shape so they are similar. And their corresponding sides are equal too...

((BEING TIMED))
A car dealership increased the price of a certain car by 11%. The original price was $33,800.
(a) Fill in the blank to write the new price in terms of the original price.
Write your answer as a decimal. (New price = x Original price)
(b) Use your answer in part (a) to determine the new price.

Answers

Answer:

A 37,518

Step-by-step explanation:

this is because you take 11% of 33,800 which is 3,718 and add that back too your orignial value which gives you 37,518. I think that also answers part B for you.

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