If 4–(x – 4) = 1 over 16 what is the value of x?

Answers

Answer 1

Answer:

4x+4=16

4x= 16–4

4x= 12

x= 12/4

x= 3

Alternatively,

4x+4=16

Taking 4 common,

4 (x+1) = 16

x+1 = 16/4

x+1 = 4

x = 4–1

x = 3

Step-by-step explanation:

Answer 2

The value of x is 68.

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Parts of an Equation

There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators. An equation can be formed without these as well, for example, 5 + 10 = 15. This is an arithmetic equation with no variables. As opposed to this, an equation with variables is an algebraic equation.

Given equation:

4/(x - 4) = 1 /16

Now, solving for x

4/(x - 4) = 1 /16

64 = x - 4

x= 68

Hence, the value of x is 68.

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Related Questions

What is the rate of change for the equation x+0.5y=5

Answers

Answer:

Step-by-step explanation:

The rate of change can be found by using the difference quotient formula and in this case it would be -0.5

┍━━━━━»•» «•«━━━━━━»•» «•«━┑

[tex]f (x)= x^{2},(2, 3) -2[/tex]

The gneral rate of change can be found by using the difference quitieont formula. To find the average rate of change over an interval, enter a function with an interval: f (x)= x^{2},(2, 3) -2

┍━━━━━»•» «•«━━━━━━»•» «•«━┑

HOPE THIS HELPS

Select all the shapes that are cross sections of a cylinder.


A line
B oval
C triangle
D rectangle
E circle

Answers

Step-by-step explanation:

only the circle

as cylinder is neither oval nor triangle not a rectangle..

so cylinder has circle as the cross section

Answer:

This is for a different question but hope this helps too!

Step-by-step explanation:

jon had 20 grapes an sally took 14 how many are left

Answers

20-14=6 Jon has 6 grapes left

Bob bought n packs of pencils. Each pack has 15 pencils. Write an equation to represent the total number of pencils that Bob bought.

Answers

Step-by-step explanation:

each pack 15 pencil

n* 15= 15n

A college is building a new basketball court that is 88 feet long and 40 feet wide, but the wood for the court comes only in 8-meter planks that are 10 centimeters wide. How many planks are needed to surface the court?​

Answers

Answer:

2816

Step-by-step explanation:

Cm to m is divide by 100

10 / 100 = 0.1.

0.1 x 8 = 0.8

40 x 88 = 3520

3520 / 0.8 = 2816

325.39 3.26.3 326.15 326.48 from greatest to least

Answers

Answer: 1)3.26.3

2)326.15

3)325.39

4)326.48

Step-by-step explanation: you want to start from the lowest number to get your answer

Can somebody please help me thank you

Answers

Answer: <

Step-by-step explanation:

53688 < 53689

< means less than
Hence it is read as 53688 is less than 53689

Evaluate the expression when g=5 and h=33.
h-4g

Answers

Answer:145

Step-by-step explanation:

if h=33 and g=5 the expression would look like 33-4x5 frist 33-4=29 so now we imes by 5, 29x5=145 so 145 is your answer

Help help help help

Answers

Step-by-step explanation:

can you tell me what you don't understand about this ?

because it is really simple, once you understand the transformations of equations.

remember, whatever we do to one side. we have to do also to the other side, so that the information in general stays the same.

(7 - 3x)/2 = 8 multiply both sides by 2

7 - 3x = 16 subtract 7 from both sides

-3x = 9 divide both sides by 3

-x = 3 multiply both sides by -1

x = -3

and that's the whole "secret" about solving an equation.

Answer:

x = -3

Step-by-step explanation:

In the question we are given with an equation that is ( 7 - 3x ) / 2 = 8 . And we have asked to find the value of x .

Solution : -

[tex] \longrightarrow \qquad \: \dfrac{7 - 3x}{2} = 8[/tex]

Step 1 : Multiplying both sides by 2 :

[tex] \longrightarrow \qquad \: \dfrac{7 - 3x}{ \cancel{2} }\times \cancel{2 }= 8 \times 2 [/tex]

On further calculations, We get :

[tex] \longrightarrow \qquad \: 7 - 3x = 16[/tex]

Step 2 : Subtracting with 7 on both sides :

[tex] \longrightarrow \qquad \: \cancel{ 7 }- 3x - \cancel{ 7 }= 16 - 7[/tex]

On calculating further, We get :

[tex] \longrightarrow \qquad \: - 3x = 9[/tex]

Step 3 : Dividing with -3 on both sides :

[tex] \longrightarrow \qquad \: \dfrac{ \cancel{ - 3}x}{ \cancel{-3}} = \cancel{\dfrac{9}{ - 3} }[/tex]

On calculating further, We get :

[tex] \longrightarrow \qquad \: \red{\underline{\boxed{\frak{x = - 3}}}}[/tex]

Therefore, value of x is -3 .

Verifying : -

Now , we are verifying our answer by substituting value of x in given equation . So ,

( 7 - 3x ) / 2 = 8

[ 7 - 3 ( -3 ) ] / 2 = 8

( 7 + 9 ) / 2 = 8

16 / 2 = 8

8 = 8

L.H.S = R.H.S

Hence, Verified .

Therefore , our answer is valid .

#Keep Learning

Someone help me ASAP !!!!

Answers

Answer:

ok sure wait

Step-by-step explanation:

3.
Find c when a = -4 and b = 2
a-7
C=-
b

Answers

Answer:

[tex]c = 15[/tex]

Step-by-step explanation:

[tex]b = 2a - 7[/tex]

[tex]b = 2(-4) -7[/tex]

[tex]b = (-8)-7[/tex]

[tex]b = (-15)[/tex]

[tex]c = -(-15)[/tex]

[tex]c = 15[/tex]

3/5 + 1/4 = ?
Anyone know what the answer is?

Answers

17/20


you want to get the bottom numbers the same by multiplying:)
5x4= 20 , 4x5= 20
since you multiplied the fraction with the denominator 5 by 4 , you also multiply the number on top by 4
3x4= 12
and since the other fraction with the denominator 4 was multiplied by 5 , you multiply the number on top by 5
1x5= 5
now you add those 2 numbers up
5+12= 17
you put that number on top of the fraction: 17
and take the number you ————
got from the first step and
put it on the bottom: 20

and you get 17/20 or .85

Given the equation, what is the center and radius of the circle?

(x-7) ^2 + (Y-4) ^2= 64 ^2

Answers

We are given the equation of circle (x - 7)² + (y - 3)² = 64² , but let's recall the standard equation of circle i.e (x - h)² + (y - k)² = r², where (h, k) is the centre of the circle and r being the radius ;

So, consider the equation of circle ;

[tex]{:\implies \quad \sf (x-7)^{2}+(y-4)^{2}=(64)^{2}}[/tex]

On comparing this equation with the standard equation of Circle, we will get, centre and radius as follows

Centre = (7, 4)Radius = 64 units

What fraction is equivalent to six tenths and has a denominator of 100?

Answers

Answer:

6 = 6/10

Step-by-step explanation:

.6 = 6/10 , by definition. = 3/5 (reduced -- divide numerator and denominator by 2.

Answer:

[tex]\dfrac{60}{100}[/tex]

Step-by-step explanation:

Six tenths:

[tex]\dfrac{6}{10}[/tex]

where 6 is the numerator and 10 is the denominator

We want the denominator to be 100, so how do we convert 10 into 100?

We multiply by 10, since 10 x 10 = 100

When working out equivalent fractions, we must remember to do the same operation to both the numerator and denominator.  Therefore, we should multiply both by 10:

[tex]\dfrac{6 \times 10}{10 \times 10}=\dfrac{60}{100}[/tex]

Therefore, the fraction that is equivalent to six tenths and has a denominator of 100 is:

[tex]\dfrac{60}{100}[/tex]

(sixty hundredths)

find the area of a circle that has the diameter of 2 feet. ( use 3.14 for pi)

Answers

Answer: area of the circle is [tex]3.14ft^{2}[/tex]

Step-by-step explanation:

1. the equation to find the area of a circle is [tex]\pi r^{2}[/tex]

2. the diameter is equal to 2r, meaning to get the radius, divide the diameter by 2.     [tex]\frac{2}{2} =1[/tex]

3. plug in the the radius into the equation. [tex]3.14*1^{2} =3.14ft^{2}[/tex]

hope this helped! ♡

10+500000000 wats the answer

Answers

Answer:

500,000,010

Step-by-step explanation:

The 10 would be added to the last 2 digits (00) of the number. Therefore, the last 2 digits (00) plus 10 would be 10. The remainder of the number would remain the same, making the answer: 500,000,010

In the electric field [tex]{\vec{E}=3x\hat{i}-2y\hat{j}+5z\hat{k}}[/tex], find the potential difference between the points A(1,3,5) and B(3,2,7)​

Answers

Let's recall that, the potential difference between any two points X(x,y,z) and Y(a,b,c) is given by ;

[tex]{\boxed{\bf{V_{Y}-V_{X}=\displaystyle \bf -\int_{X}^{Y}\overrightarrow{E}\cdot \overrightarrow{dr}}}}[/tex]

So, here ;

[tex]{:\implies \quad \sf \overrightarrow{E}=3x\hat{i}-2y\hat{j}+5z\hat{k}}[/tex]

So, now our second component of the Integrand will just be ;

[tex]{:\implies \quad \sf \overrightarrow{dr}=dx\hat{i}+dy\hat{j}+dz\hat{k}}[/tex]

So, now the whole integrand will just be ;

[tex]{:\implies \quad \sf \overrightarrow{E}\cdot \overrightarrow{dr}=(3x\hat{i}-2y\hat{j}+5z\hat{k})(dx\hat{i}+dy\hat{j}+dz\hat{k})}[/tex]

[tex]{:\implies \quad \sf \overrightarrow{E}\cdot \overrightarrow{dr}=3xdx-2ydy+5zdz}[/tex]

Now, Let's move to the final answer ;

[tex]{:\implies \quad \displaystyle \sf V_{Y}-V_{X}=-\int_{X}^{Y}3xdx-2ydy+5zdz}[/tex]

As,X is the point (1,3,5) and Y being (3,2,7) , so seperate the integral into three integrals with limits as follows respectively;

[tex]{:\implies \quad \displaystyle \sf V_{Y}-V_{X}=-\bigg(\int_{1}^{3}3xdx-\int_{3}^{2}ydy+\int_{5}^{7}zdz\bigg)}[/tex]

[tex]{:\implies \quad \displaystyle \sf V_{Y}-V_{X}=-\bigg(3\int_{1}^{3}xdx-2\int_{3}^{2}ydy+5\int_{5}^{7}zdz\bigg)}[/tex]

[tex]{:\implies \quad \displaystyle \sf V_{Y}-V_{X}=-\bigg\{3\bigg(\dfrac{x^2}{2}\bigg)\bigg|_{1}^{3}-2\bigg(\dfrac{y^2}{2}\bigg)\bigg|_{3}^{2}+5\bigg(\dfrac{z^2}{2}\bigg)\bigg|_{5}^{7}\bigg\}}[/tex]

[tex]{:\implies \quad \displaystyle \sf V_{Y}-V_{X}=-\bigg\{2\bigg(\dfrac{9}{2}-\dfrac12\bigg)-2\bigg(\dfrac{4}{2}-\dfrac92\bigg)+5\bigg(\dfrac{49}{2}-\dfrac{25}{2}\bigg)\bigg\}}[/tex]

[tex]{:\implies \quad \displaystyle \sf V_{Y}-V_{X}=-\{3(4)-(-5)+5(12)\}}[/tex]

[tex]{:\implies \quad \displaystyle \sf V_{Y}-V_{X}=-\{12+5+60\}}[/tex]

[tex]{:\implies \quad \displaystyle \boxed{\bf{V_{Y}-V_{X}=-77\:\: Volt}}}[/tex]

Hence, this is the required answer

When asked to factor the trinomial x^2 - 18x + 81, a student gives the answer (x - 9)(x + 9). Which of the following statements is true?

A. The answer is incorrect; the trinomial cannot be factored.

B. The answer is incorrect; the plus sign should be a minus sign.

C. The answer is incorrect; the minus sign should be a plus sign.

D. The answer is correct.

Answers

Answer:

B.The answer is incorrect; the plus sign should be a minus sign.

Step-by-step explanation:

[tex]x^2-18x+81\\\\=x^2-2\cdot 9x +9^2\\\\=(x-9)^2\\\\=(x-9)(x-9)[/tex]

pls help quick!!
10 points

Answers

Answer:

The angle B = 70°

Step-by-step explanation:

The sum of angles of a triangle is 180°

=> 40°+(2x-30)°+(x+20)° = 180°

=> 40°+2x°-30°+x°+20° = 180°

=> 30°+3x= 180°

=> 3x = 180°-30°

=> 3x = 150°

=> x = 150/3

=> x = 50°

So,the value of x = 50°

now , angle B = (2x-30) = (2×50 -30 ) = (100-30) = 70°

Given ∠4≅∠14, which lines, if any, must be parallel based on the given information? Justify your conclusion. a∥b, Converse of the Same-Side Interior Angles Theorem a∥b, Converse of the Alternate Interior Angles Theorem a∥b, Converse of the Corresponding Angles Theorem not enough information to make a conclusion Two horizontal, parallel lines, line c and line d, where line c is above line d. These lines are intersected by two diagonal parallel lines, line a and line b. Line a is to the left of line b. The angles created by each intersection are numbered. From top left, going clockwise, the angles where line a intersects line c are labeled eleven, ten, nine, and twelve. The angles where line b intersects line c are labeled seven, six, five, and eight. The angles where line a intersects line d are labeled fifteen, fourteen, thirteen and sixteen. The angles where line b intersects line d are labeled three, two, one and four.

Answers

Answer:

a∥b, Converse of the Alternate Interior Angles Theorem

Help picture below problem 13

Answers

Answer:

the measure of 3 is 80 because its l is parlell to r so 80 will be vertical with 3

Step-by-step explanation:

1.what is a sports car average acceleration if it can go from 0m/s to 27m/s in 6.0 seconds?


2.what is cars acceleration when it slow down from an initial velocity of 4.5m/s to a final velocity of 24.5m/s in 3.2 seconds?



3.a car increases its velocity from 50m/s to 80m/s in 2.0 maintaining its direction.what is acceleration?


4.a turtle moves from a initial velocity of 0.50m/s to 0.80m/s in 6seconds.what is the turtels average acceleration?

Answers

Answer:

1.4.5m/s^2

2.6.25m/s^2

3.15m/s^2

4.0.05m/s^2

Step-by-step explanation:

a=v-u

----

t

27-0

------ = 27/6

6

=4.5m/s^2

u=4.5m/s

v=24.5m/s

t=3.2s

(24.5-4.5)÷3.2

=20/3.2

=6.25m/s^2

v=80m/s

u=50m/s

t=2s

(80-50)÷2

15m/s^2

v=0.80m/s

u=0.50m/s

t=6s

(0.80-0.50)÷6

=0.05m/s^2

$5000 principal earning 4% compounded annually, 4 years

Answers

Answer: $7401.22

Step-by-step explanation: it’s right just trust me

50 Points! A section of wall for a mural is shaped like a parallelogram with a base length of 7 feet and a height of 11 feet. A can of paint will cover 20 square feet.

nvm it was 4

Answers

Area = length x height:

Area = 7 x 11 = 77 square feet.


divide area of wall by area per can:

77/20 = 3.85 cans


they will need to buy 4 cans

Round each amount to the nearest hundred to find an estimate of:

3891 ÷ 289

Answers

Answer:

  13

Step-by-step explanation:

Estimates are often made by rounding the operands to 1 or 2 significant digits. Here, that is accomplished by rounding each number to the nearest hundred.

__

Rounded to hundreds, the problem becomes ...

  3900 ÷ 300

  = 39/3 = 13

An estimate of the quotient is 13.

Perform the indicated operation & simplify.

Answers

[tex](8-15i) +(11+24i) = 19+9i\\\\(8-15i)-(11+24i)=-3-39i=-3(1+13i)[/tex]

If x = 12 cm, what is the volume of the prism?

cm3

Answers

Answer:

4320

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)

In a town of 117 000 people, 14000 like to
Watch hockey. What percent of the town's
Populations like to watch hockey?

Answers

Divide number that like hockey by population then multiply by 100:


14,000 / 117,000 = 0.11965

0.11965 x 100 = 11.965%

Round up to 12%

Use a net to find the area of the entire surface of the solid.​


A rectangular prism made of unit cubes. The length is 5 unit cubes, width 4 unit cubes, height 3 unit cubes.


The surface area of the prism is

square units.

Answers

Check the picture below.

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{\textit{front and back}}{2(5\cdot 3)}~~ + ~~\stackrel{\textit{left and right}}{2(3\cdot 4)}~~ + ~~\stackrel{\textit{top and bottom}}{2(5\cdot 4)}}\implies 30+24+40\implies 94[/tex]

The area of the entire surface of the solid given is 94 units².

What is Surface Area?

The area of a three dimensional object on it's outer surface is called the surface area of the object.

Given a rectangular prism.

It consists of 3 pairs of identical rectangular sides.

Area of a rectangle = length × width

Find the area of each rectangular sides to find the total area.

Total area = (5 × 3) + (5 × 3) + (5 × 4) + (5 × 4) + (4 × 3) + (4 × 3)

                 = 15 + 15 + 20 + 20 + 12 + 12

                 = 94 units²

Hence the area of the prism given is 94 units².

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a football player can run 13.5 yards in 4.5 seconds. which equation is used to find r, the number of yards he can run in 1 second

Answers

Answer:

3

Step-by-step explanation:

You just divide 13.5 by 4.5, and you get 3 yards per second.

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