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

anyone help pls??
Find the perimeter and the area of the regular polygon with the given apothem a and side length s.

Answers

Step-by-step explanation:

apothem : distance from the center of the object to the side(s).

area : 1/2 × perimeter × apothem

perimeter : 9 x side

perimeter = 9×15 in = 135 in

area = 1/2 × 135 × 20.6 = 1,390.5 in²

The perimeter and area of a nonagon with apothem of 20.6 inches and side of 15 inches are 135 inches and 1390.5 inches² respectively.

What is a nonagon?

A nonagon is a polygon with 9 sides. The perimeter and area can be found as follows;

Perimeter = length of the whole sides

side length = 15 inches

P = 9 × 15

p = 135 inches

Area of a nonagon = 1 / 2 pa

where

a = apothemp = perimeter

Therefore,

apothem = a = 20.6 inches

area of the nonagon = 1 / 2 × 135 ×  20.6

area of the nonagon = 2781 / 2

area of the nonagon = 1390.5 inches²

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Kala and david each opened a savings account today, kala opened her account with a starting amount of $180, and she is going to put in $70 per month. David opened his account with no starting amount, and he is going to put in $100 per month
let x be the number of months after today
(a) for each account, write an expression for the amount of money in the account after x months
(b) write an equation to show when the two accounts have the same amount of money

Answers

Answer:

[tex]Elsa:y_1=70x+180[/tex]

[tex]brian,y_2=100x[/tex]

Step-by-step explanation:

[tex]Rnown\ by\ the\ topic,[/tex]

[tex]Assuming\ that\ the\ Elsa\ amount\ of\ money\ is\ y_1,[/tex]

[tex]Brian's\ amount\ of\ money\ is\ y_2[/tex]

[tex]so,y_1=70x+180[/tex]

[tex]\{put\ in\ \$70\ per\ month,\ storting\ amount\ of[/tex]

[tex]y_2=100x[/tex]

[tex]\{\ put\ in\ \&\ 100\ per\ month,\ no\ starting\ emount[/tex]

[tex]\{\$70,\ \$100\ are\ monthly\ voriation,[/tex]

[tex]\$180\ is\ fixed\ value?[/tex]

I hope this helps you

:)

Solve the system of equations.


−10x+3y=5
x=y−4

Answers

Answer:

Hope the pictures will help you..

Step-by-step explanation:

-10(y-4)+3y=5

-10y +40+3y =5

-7y = -40 +5

-7y=-35

7y = 35

{y= 5}

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

y=5

x=y-4

x=5-4

{x=1}

I NEED HELP LOOK AT THE PICTURE PLEASE

Answers

just use the formula 1/2bh

That your answer so I help

Which of the following quadrilaterals is also a parallelogram?

Answers

Answer:

RECTANGLE

A rectangle is a parallelogram with four right angles, so all rectangles are also parallelograms and quadrilaterals.

What’s the answer????

Answers

Answer:

the last one I think. number 4

Answer: The last one

Step-by-step explanation:

It's not required by law

You have to pay $2000 on your own

It can definitely be over $500

It's a yearly amount

Can slope intercept form have y as the slope?

For example:
x = 7y

Answers

Answer:

yes

Step-by-step explanation:

The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept.

if you will solve this math 50 point + brainlists=

5+6+6+83+15×53____84​

Answers

Answer:

5+6+6+83+15×53=895

I hope it helps ty if yes pls make me brainliest take care

6 + 6 = 12

5+15 = 20

53x83= 4399

4399+32=4431

4431- 84 =4,347

please make me brainalist and keep smiling dude I hope you will be satisfied with my answer is updated

and you have asked me to help please tell me

the point inside a circle that is the same distance from all the points on the circle

Answers

Answer:

the center

Step-by-step explanation:

The only point in the circle that is equidistant from the border is the center, and the lines that connect the center to the points on the circle is called the radius. All radii in a circle are congruent.

Please help I'll mark brainliest ​

Answers

Answer:

32

Step-by-step explanation:

Add up all the numbers and then divide by how many numbers there are.

x + y = 2
y - z = 2
x + y - z = 3
.
OA (1,1,-1)
OB. (-1,1,1)
oc. (-1,-1,1)
OD. (-1,1,-1)

Answers

Answer:

it would be B because of the lang it and work

Critical Thinking: I am a 7-digit number. All my digits are non-zero and distinct, My ones digit is four times the tens digit. • The sum of the ones and tens digits is equal to the sum of the lakhs and ten lakhs digits. • The sum of the ten thousands and thousands digits is equal to the double of the hundreds digit. • The ten lakhs digit is greater than the lakhs digit , and the ten thousands digit is greater than the thousands digit. Find which number I am. ​

Answers

Answer:

3286714

Step-by-step explanation:

Let the digits of the number be :

ABCDEFG

Our given conditions :

G = 4F [ones digit is four times the tens digit]G + F = B + A [sum of the ones and tens digits is equal to the sum of the lakhs and ten lakhs digits]C + D = 2E [sum of the ten thousands and thousands digits is equal to the double of the hundreds digit]A > B and C > D [ten lakhs digit is greater than the lakhs digit , and the ten thousands digit is greater than the thousands digit]

Solving :

Condition 1 : G is either 1 or 2 and F is either 4 or 8For now, let G be 1 and F be 4 Now G + F = A + BThen A + B = 5 [but not 1 + 4] ⇒ A can be 3 and B can be 2Now C + D = 2E and our remaining numbers are 5,6,7,8,9C and D can be 8 and 6, then their mean would be 7, which is E

Solution :

So, the number is :

ABCDEFG3286714

Rewrite the expression ^3 square root of x^8 using rational exponents.

Answers

Answer:

X^8/3

Step-by-step explanation:

When transforming radical expressions to rational exponents, the radicand (8) becomes the numerator of the rational exponent. And the index, or root (3) of the radical becomes the denominator of the rational exponent.

x+y+z=-6
x-y+3z=-18
2x+2y+2z=-8

Answers

Answer:

Step-by-step explanation:

hello :

the system is : x+y+z=-6.....(1)

                      x-y+3z=-18.....(2)

                   2x+2y+2z=-8.....(3)

use (3): 2(x+y+z) = - 8    so : x+y+z = -4

use (1) : x+y +z = -6          -6=-4 false

no solutions

Steven is 42 inches tall. On average he grows at a rate of 5.5% each year. How tall will
Steven be in 3 years?

Answers

Answer:

about 49.3 inches

Step-by-step explanation:

[tex]42 \times {1.055}^{3} = 49.318[/tex]

Spot the difference

Find anything that 3 of the 4 image's have in common, and write why the 4th is different from the other 3​

Answers

A. Is different from the other three
This is because B,C, and D all have exponents while A does not.

At Gumdrops Galore candy store, Gina and her sister each fill a bag with gumdrops. Gina's bag of black gumdrops weighs 1 4 of a pound. Gina pays for both her gumdrops and her sister's red gumdrops. In all, Gina buys 3 8 of a pound of gumdrops. She wants to know how much her sister's red gumdrops weigh. Use an equation to find the weight of her sister's red gumdrops.

Answers

Answer:

1/8 of a pound

Step-by-step explanation:

Gina's bag of gumdrops : 1/4 of a pound

Gina's + sister's bag of gumdrops : 3/8 of a pound

To find how much her sister's gumdrops weighed, you will have to subtract fractions.

Equation : 3/8 - 1/4 or 3/8 - 2/8

To subtract, you need to make sure the denominators are the same.

1 × 2

-------  =  2/8

4 × 2

Now, you can subtract. Subtract the numerators.

3/8 - 2/8 = 1/8

So, Gina's sister's red gumdrops weigh 1/8 of a pound.

Hope this helped !

Gina's sister's red gumdrops weigh 1/8 of a pound.

How to determine the weight of Gina's sister's red gumdrops

Let's use an equation to find the weight of Gina's sister's red gumdrops.

Let x be the weight of Gina's sister's red gumdrops in pounds.

According to the information given:

Gina's bag of black gumdrops weighs 1/4 pound.

Gina pays for both her gumdrops and her sister's red gumdrops, totaling 3/8 pound of gumdrops.

Weight of Gina's gumdrops (black gumdrops) + Weight of sister's gumdrops (red gumdrops) = Total weight of gumdrops purchased

1/4 + x = 3/8

Solve for x

x = 3/8 - 1/4

To subtract fractions, we need a common denominator, which is 8:

x = (3/8) - (2/8)

x = 1/8

Therefore, Gina's sister's red gumdrops weigh 1/8 of a pound.

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Define a rational number and show that no rational number x belongs to Q satisfies x² = 2​

Answers

Answer:

A rational number is a number that can be expressed as a fraction of two integers.

if  x²=2 then x=√2, but √2 is an irrational number (not rational), so there is no rational number x that satisfies x² = 2.

Step-by-step explanation:

n △IJK, m∠J=34°, m∠I=72°, and i=206. Identify j rounded to the nearest tenth.

Answers

Answer:

121.1

Step-by-step explanation:

The measurement j will be 121.1

What is law of sine?

Law of sine says that ratio of sine of an angle and its opposite side is always same for every 3 angles of the triangle and their opposite sides.

In ΔABC,

sinA/a = sinB/b = sinC/c

in the given triangle ΔIJK

∠J=34°

∠I=72°

i=206

So, using law of sine,

sinI/i = sinJ/j

⇒sin72°/206=sin34°/j

⇒j=(sin34°/sin72°)*206

⇒j=121.1

Therefore, the value of j will be 121.1

Learn more about Law of sine,

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Find the solution of the system of equations. x-3y= -13
2x+15y=16

Answers

Answer: [tex]x=-7, y=2[/tex]

Step-by-step explanation:

Multiplying the first equation by 2 gives [tex]2x-6y=-26[/tex]

Subtracting this from the second equation yields [tex]21y=42 \longrightarrow y=2[/tex]

Substituting this back into the first equation gives that [tex]x=-7[/tex]

[tex]\therefore x=-7, y=2[/tex]

Adía swam 7 laps in a pool Kaya swam 28 laps how many times the number of laps adía swam did kaya swim circle the letter of the correct answer

A. 4

B. 21

C. 35

D. 196

Help me my sister needs help she is in 4th grade

Answers

a because 28 divided by 7 is 4, and the rest of the answers don't make sense

Use the graph of the rational function to complete the following statement.

Answers

Using the graph of the function, it is found that the lateral limits of the function are as follows:

As [tex]x \rightarrow 1^{+}[/tex], [tex]f(x) \rightarrow -\infty[/tex].As [tex]x \rightarrow 1^{-}[/tex], [tex]f(x) \rightarrow \infty[/tex].

What are the lateral limits of the function at x = 1?

For [tex]x \rightarrow 1^{+}[/tex], we look at the values slightly greater than 1, that is, to the right of x = 1, for which the function goes to negative infinity, hence [tex]f(x) \rightarrow -\infty[/tex].

For [tex]x \rightarrow 1^{-}[/tex], we look at the values slightly less than 1, that is, to the left of x = 1, for which the function goes to infinity, hence [tex]f(x) \rightarrow \infty[/tex].

More can be learned about lateral limits at https://brainly.com/question/26270080

PLEASE HELP ME WILL FOLLOW AND GIVE BRAINLIST!!! ASAP

Answers

3. that is your answer

Answer:

1/10 of the members

Step-by-step explanation:

first, see how much is between [tex]2\frac{1}{4}[/tex] and [tex]3[/tex]. you can only see one. then count the number of x's, that's the number of members, and your denominator.

Find the exact value of tan(-pi/12)

Answers

Tan(-pi/12) = sqrt(7-4sqrt(3)) = -2 + sqrt(3)


answer: -2 + sqrt(3)


The circumference of the circle is 24 cm and the radius is √x+2. Find x and its radius. Use = 3.14 . Round your answer to two decimals.

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

Circumference of a circle :

[tex]\qquad \tt \dashrightarrow \:2 \pi r[/tex]

And we have been given that Circumference = 24 cm

So, let's equate them and find radius (r) :

[tex]\qquad \tt \dashrightarrow \:2 \pi r = 24[/tex]

[tex]\qquad \tt \dashrightarrow \:r = \dfrac{ 24}{2 \pi}[/tex]

[tex]\qquad \tt \dashrightarrow \:r = \dfrac{ 12}{3.14}[/tex]

[tex]\qquad \tt \dashrightarrow \:r = 3.82 \: \: cm[/tex]

So, we got the radius here. now let's equate it with expression in terms of x to find value of x

[tex]\qquad \tt \dashrightarrow \: \sqrt{x + 2} = 3.82[/tex]

[tex]\qquad \tt \dashrightarrow \:{x + 2} = (3.82) {}^{2} [/tex]

[tex]\qquad \tt \dashrightarrow \:{x } \approx 14.59 - 2[/tex]

[tex]\qquad \tt \dashrightarrow \:{x } \approx 12.59 \: \: cm[/tex]

x = 12.61

===========

[tex]\bold{C = 2\pi r}[/tex]                                     [ C = 24, π = 3.14, r = √x+2 ]

2(3.14)(√x+2) = 24

(6.28)(√x+2) = 24

√x+2 = 24/6.28

x+2 = (24/6.28)²

x = (24/6.28)² - 2

x = 12.60505497

x ≈ 12.61                ( rounded to nearest two decimal places )

(a) The area of a rectangular parking lot is 3657 m².
If the width of the parking lot is 53 m, what is its length?

Answers

Answer:

69 m

Step-by-step explanation:

[tex]\textcolor{steelblue}{\text{Area of rectangle= length ×width}}[/tex]

Given that the area is 3657 m² and the width is 53 m,

3657= length ×53

Divide both sides by 53:

length= 3657 ÷53

length= 69 m

Grade 3 M
8
A store had 800 T-shirts in stock for a weekend sale. T-shirts are sold in packs of 4 each.
During the sale, 20 packs of T-shirts were sold on Saturday, and 70 more packs were
Write an equation that can be used to find the number of T-shirts, x, the store still has
sold on Sunday.
Equation
How many T-shirts does the store still have left to sell?
Show your work

Answers

Answer:

440 more tshirtS

Step-by-step explanation:

because if you do 70x4=280 then 20x4=80 280+80=360 800-360=440

70×4=280+20×4-800

a. Sarah Smartshopper receives ten cents off per gallon on gas for every $100 she
spends at the grocery store during a given month. During the month of October,
he spent $45.23, $102.34, $13.67, $34.56, $48.72, and $52.12. What will Sarah's
gas discount be for October?

Answers

Using proportions, it is found that her discount is of $0.29664.

What is a proportion?

A proportion is a fraction of a total amount.

In this problem, the total amount she spent on gas is given by:

T = $45.23 + $102.34 + $13.67 + $34.56 + $48.72 + $52.12 = $296.64.

Considering that she receives ten cents off per gallon on gas for every $100 she spends, we apply the proportion to find that her discount is given by:

[tex]D = 0.1 \times \frac{296.64}{100} = 0.29664[/tex]

Her discount is of $0.29664.

More can be learned about proportions at https://brainly.com/question/24372153

un classeur contient des feuilles de couleurs différents les deux tiers des feuilles sont blanches le un sixieme des feuilles sont bleues et 12 feuilles restantes sont jaunes determiner le nombre des feuilles dans le classeur

Answers

Answer:

Step-by-step explanation:

bonjour :

soit  x  le nombre des feuilles dans le classeur

les deux tiers des feuilles sont blanches veut dire : (2/ 3)x

un sixieme des feuilles sont bleues veut dire : (1/6)x

on compose cette équation       :    (2/ 3)x + (1/6)x +12 = x

rsolvont cette équation : multiplions les deux membres par : 6

4x+x+72 =6x

4x-6x+x+72=6x-6x

-x+72=0

x=72

verification :(2/3)(72)+(1/6)(72)+12=144/3 +72/6 +12 =48+12+12=72

Write an equation of the line that passes through (1,2) and is parallel to the line y=-5x+4

Answers

The equation of the line that passes through (1,2) and is parallel to the line y=-5x+4, is y=-5x+7.

What is the equation of line?

The equation of the line is the way of representation of a line in the equation form.

The equation of the lines represents the line by the set of points on which the line lies or passes through in the coordinate system.

[tex]y=mx+c[/tex]

Here, (m) is the slope of the line and (c) is the y intercept.

This line is parallel to the line which has to be find out is,

[tex]y=-5x+4[/tex]

As the parallel lines have same slope. Thus, the line which is required to find has a slope of -5.

Compare with standard equation of line, we get the slope of the line,

[tex]m=-5[/tex]

Thus, the equation of line become,

[tex]y=-5x+c[/tex]

The line passes through (1,2). Put these values in the above equation as,

[tex]2=-5(1)+c\\2=-5+c\\c=2+5\\c=7[/tex]

Thus, the equation become,

[tex]y=-5x+7[/tex]

Hence, the equation of the line that passes through (1,2) and is parallel to the line y=-5x+4, is y=-5x+7.

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