1/3 · (-3x + 4y - 5z)
(1/3 Is A Fraction)
(Write Explanation)

Answers

Answer 1

The value of expression is -(x- 4y/3 + 5z/3)

What is fraction?

A fraction represents a part of a whole or, more generally, any number of equal parts.

Given:

1/3 · (-3x + 4y - 5z)

= 1/3(-3x) + 1/3 *4y + 1/3* (-5z)

= -x +4/3*y -5/3 *z

=-(x- 4y/3 + 5z/3)

Hence, 1/3 · (-3x + 4y - 5z)= -(x- 4y/3 + 5z/3)

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Related Questions

Fraction:
23
100
Decimal: 0.23
Percent: 30 %

Answers

Answer: Below is the correct data.

Fraction: [tex]\frac{23}{100}[/tex]

Decimal: 0.23

Percent: 23%

I hope this helps! Pls mark brainliest!! :)

Jun 21, 6:41:12 PM
What is the slope of a line perpendicular to the line whose equation is x - 3y = 27.

Answers

Answer: [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

perpendicular = opposite recipricol

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

switch the sign and flip it (3/1 => 1/3)

Sahil chooses a number, divides it by 8 , adds 8 to the answer. Then multiples the answer with 8 . He obtains the result as 952 . The number he chooses in the beginning was



TAKE POINTS ​

Answers

Let that be x

(x/8+8)8=952x/8+8=119x/8=119-8x/8=111x=111(8)x=888

The number he chooses, in the beginning, was 888.

How can we interpret the division?

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Division can be interpreted as equally dividing the number that is being divided into total x parts, where x is the number of parts the given number is divided.

Given that Sahil chooses a number, then divides it by 8, adds 8 to the answer. Then multiply the answer by 8.

Let the unknown number be represented by x.

Therefore,

(x/8+8)8 = 952

x/8+8 = 119

x/8 = 119-8

x/8 = 111

x = 111(8)

x = 888

Therefore, the unknown number would be; 888.

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Please explain how it is simplified. Thank you. No random or inexperienced mathematicians please

Answers

Answer:

[tex]\fbox {Work is attached below.} \downarrow[/tex]

Step-by-step explanation:

Find the equation of the line through point (8,−9) ( 8 , − 9 ) and perpendicular to 3+8=4 3 x + 8 y = 4 .

Answers

The equation of the line will be 3y + 8x = 165.

What is an equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given that:-

Find the equation of the line through point (8,−9) ( 8, − 9 ) and perpendicular to 3 x + 8 y = 4.

The given equation of the line is:-

3 x + 8 y = 4.

The slope of this line will be:-

3 x + 8 y = 4.

8y = -3x + 4

y = -3 /8x + ( 1 / 2)

y = mx + c

m = -3 / 8

Since the line is perpendicular to the other line 3x +8y = 4 so the slope will be inverse and negative for the line.

So the slope of the line will be -8 / 3

The equation of the line passing through the point will be given as:-

y - y 1 = m ( x- x1)

y - (-9) = ( -8 / 3) ( x - 8)

Y + 9 = ( -8 / 3 ) ( x -8 )

3 y = -8x + 165

3y + 8x = 165

Therefore the equation of the line will be 3y + 8x = 165.

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If a₁ = 4 and an = 5an-1 then find the value of a5.

Answers

The value of [tex]a_{5}[/tex] is 2500, when [tex]a_{1}=4[/tex] and [tex]5a_{n-1}[/tex].

Given that, [tex]a_{1}=4[/tex] and [tex]5a_{n-1}[/tex].

We need to find the value of [tex]a_{5}[/tex].

What is an arithmetic sequence?

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

Now, to find the value of [tex]a_{5}[/tex] :

[tex]a_{2} =5a_{2-1}=5a_{1}=5 \times4=20[/tex]

[tex]a_{3} =5a_{3-1}=5a_{2}=5 \times20=100[/tex]

[tex]a_{4} =5a_{4-1}=5a_{3}=5 \times100=500[/tex]

[tex]a_{5} =5a_{5-1}=5a_{4}=5 \times500=2500[/tex]

Therefore, the value of [tex]a_{5}[/tex] is 2500.

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OVER DUED HOMEWORK pls help!! T-T

Answers

Answer:

see explanation

Step-by-step explanation:

(9m + 4)² - (9m - 4)² ← expand both factors using FOIL

= 81m² + 72m + 16 - (81m² - 72m + 16) ← distribute parenthesis by - 1

= 81m² + 72m + 16 - 81m² + 72m - 16 ← collect like terms

= 144m

= 72(2m)

which is divisible by 72 for all m


50 points PLEASEE I NEED THIS IN MINUTES sytem of functions thingg

Answers

Answer:

is b i think

hope my answer help you

What is 35.43 rounded to the nearest hundredth’s

Answers

Answer:

it already is rounded up to the nearest hundredth

Step-by-step explanation:

It’s already around to the nearest hundredth’s

help me with math please grade 5

Answers

Answer:

15/7 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Answer:

15/21

Step-by-step explanation:

First do 5 times 3, which is 15 (5+5+5). Then do 7 times 3, which is 21 (7+7+7). Since the denominator is 7 and there is 3 models with 7 parts each, there are 21 total parts. Out of each model, only 5 parts are highlighted/colored out of the 7. Add all the parts that are colored together to get 15. To put it simpler, 15 out of 21 parts are colored. This cannot be further simplified, giving you 15/21

which of the following functions shown in the table below are exponential functions?

Answers

The functions shown in the table below are exponential functions, will be g(x) and k(x). Then the correct option are B and D.

The complete question is attached below.

What is an exponent?

Let a is the base and x is the power of the exponent function and b is the y-intercept.

The exponent is given as

y = aˣ + b

Checking for g(x), then we have

g(x) = 5ˣ

Then the function g(x) satisfies all the condition.

Checking for k(x), then we have

k(x) = 4⁻ˣ

Then the function k(x) satisfies all the condition.

Then the correct option are B and D.

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What is the solution to this rational equation? 24/x-8=4

Answers

Answer:

X = 14

24/x-8 = 4

Multiplying both the sides with x-8

24 = (x-8)*4

24 = 4x - 32

24 + 32 = 4x

56 = 4x

56/4 = X

14= X

(PLEASE HELP!) A rectangular photograph measures 24x19 cm. It is mounted on a card of size such that there is a 2 cm border all around. For the purposes of this question take the length of the photograph to be 24 cm.

If one of the borders must be 2 cm in width, determine the width of a possible length and width so that the inner and outer rectangles are similar.

Answers

Answer: The card is 28 cm by 23 cm

Check out the diagram below

Explanation:

I added 4 cm to each dimension of the "24 x 19". Why 4 instead of 2? Because we're effectively adding two copies of "2 cm" to each of the original length and width. Along the horizontal component, we have the left and right boundaries. Along the vertical component, we have the top and bottom boundaries. The diagram hopefully clears up any confusion you may have.

Evaluate 5x³ + 2 for x = -1.
0 -3
04
06
0-7

Answers

Answer:

-3

Step-by-step explanation:

5x³ + 2 , when x = -1

5(-1)³ + 2

= -5 + 2

= -3

Answer:

-3

(first option listed)

Step-by-step explanation:

we know that 5x³ + 2 is our expression

we want to "evaluate" (find/solve for) when x = -1

we can do this by plugging in -1 to the expression:

5x³ + 2          {note, x = -1}

5(-1)³ + 2    {-1³ = -1}

5(-1) + 2

(-5) + 2

-5 + 2 = - 3

so, when x = -1, the statement is equivalent to -3

hope this helps! :)


Suppose y varies directly as x, and y = 27 when x = 3. Find y when x = 4.

Answers

the initial statement is y ∝ x

to convert to an equation multiply by k the constant of variation

[tex]y = kx[/tex]

to find k use the given condition

[tex]y = 27 \\ \\ when \\ \\ x = 3[/tex]

[tex]y = kx \\ \\ k = \frac{y}{x} = \frac{27}{3} = 9[/tex]

equation is y = 9x

when x = 4 then

[tex]y = 9 \times 4 = 36.[/tex]

Answer:

y = 36

Step-by-step explanation:

given y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

to find k use the condition y = 27 when x = 3 , then

27 = 3k ( divide both sides by 3 )

9 = k

y = 9x ← equation of variation

when x = 4 , then

y = 9 × 4 = 36

Which of the following equations have no solutions? Choose all Answers that apply

Answers

Answer:

B & D

Step-by-step explanation:

-4x+5=-4x-4

-4x+4x=-4-5

0=-1

So, it has no solution.

-4x+5=-4x-5

-4x+4x=-5+5

0=0

So, it has no solution too.

For year y, the population of massachusetts was approximately what percent of the population of vermont?

Answers

Answer: 50%

Step-by-step explanation:  50%


Which set of coordinates, when paired with (-3, -2) and (-5, -2), result in a square?
(-5, -2) and (-3,-2)
(-3,0) and (0, -2)
(-3,0) and (-5, 0)
(0, -2) and (0, -3)
0000

Answers

Step-by-step explanation:

hope this help you the result is In square


Fill in the blank. In the triangle below, x= Round your answer to two
decimal places.

Answers

Answer:

The answer is 44.80 degrees

Step-by-step explanation:

First you want to find z

z = 180-(52+90)=38

and then try to determine which formula will try to give you x = Tan

Tan = Opposite/ Adjacent

Tan(38)=35/x

x=35/Tan(38)

x=44.80

Solve the 2 problem s hurrryyyy

Answers

Answer:

3. n>or=0

5. n>or=0

Step-by-step explanation:

3. -1<or=2n+4-5

    =-1<or=2n-1

    =1-1<or=2n

    =0<or=2n

     =n>or=0.

5. 0<or=2n+3n

  =0<or5n

  =n>or=0

What is the solution set of -|-x| = -12?
O no solution
O {-12}
O {12}
O {-12, 12}


Answers

Answer:

12 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

[tex] - | - x| = - 12 \\ - x = - 12 \\ x = 12 \: \: \: or \: \: \: x = - 12 \\ [/tex]

Solution :{-12,12} so it's D

Please give brainliest

Here are the first five terms of a number sequence .

10 16 22 28 34

The nth term of a sequence T is given by n squared-3

There are numbers that are terms in both the sequence S and the sequence T.

Find one of these numbers.

Answers

Answer:

t=4+6n

Step-by-step explanation:

a = 10

d=6

in general

tn = a + (n-1)*d

tn = 10 + (n-1)*6

tn = 10 + 6n - 6

tn = 4 + 6n

So if n = 5 then

t5= 4+6*5

t5= 4 + 30

t5 = 34 which agrees with your givens.

2 more questions and 100 points answer asap!

Answers

Answer:

-6

Step-by-step explanation:

Well you just plug in the value 3 for x. This will give you the following equation: [tex]\frac{4(3+3)(3+1)}{(3+5)(3-5)}[/tex] which simplifies to [tex]\frac{4(6)(4)}{(8)(-2)}[/tex] which further simplifies to [tex]-\frac{96}{16}[/tex] which can further be simplified by dividing the two numbers and that results in -6

Answer:

A

Step-by-step explanation:

it really only means to replace every x by 3 and then simply calculate.

4(3+3)(3+1) / ((3+5)(3-5)) =

= 4×6×4 / (8×-2) = 96/-16 = -6

2.865; cut it to the ten thousandths

Answers

Answer:

2.865.

Step-by-step explanation:

first get to know the place value of each digit is you move on you will realise that there's no digit for tens of thousands that means that you can add a zero which which will be counted as tens of thousands and since it's not past 5 it can't change the other number. I mean it can't add 1 to 5 so the number remains 2.865 good day.

What is the slope-intercept equation of the line below?

Answers

Answer:

y= 2x - 3

Step-by-step explanation:

To calculate the slope (or gradient) of a line, take two points on the line whose x and y values are easy to read. Then divide the difference of they y-coordinate values by the difference of their x-coordinate values.

Here I have taken the points p (3, 3) and q (1, -1) to calculate the slope.

• slope = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1}}[/tex]

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

         = [tex]\frac{4}{2}[/tex]

         = 2  

The intercept is the y-coordinate value of the point at which the line crosses ("intercepts") the y-axis. I've marked the intercept point with a green line.

• intercept = -3

The slope-intercept equation of a line takes the form:

y = mx + c

where 'm' is the slope and 'c' is the y-intercept.

Substituting the values we found into the equation gives us:

y = 2x + (-3)

y = 2x - 3

question attached below

Answers

If the first inequality is written as:

3x ≤ -12

Then the correct option is D.

If it is written as it is in the problem, then neither of the graphs is the correct option.

How to solve the compound inequality?

Here we have the inequalities:

3x ≤ 12

2x + 3 > 11

(notice that in all the options, the first inequality has a negative sign, while in the two given inequalities there are no negative sign. This means that you will never get the correct answer if you use the given information, as the problem is incorrectly written).

First, we need to isolate x on both inequalities, we will get:

3x ≤ 12

x ≤ 12/3

x ≤ 4

(As you can see, because we don't have the negative sign, this inequality is different to all the ones in the options).

And for the other:

2x + 3 > 11

2x > 11 - 3

x > 8/2

x > 4

So neither of the options is actually correct.

If we instead write the first inequality as:

3x ≤ -12

We would solve this as:

x ≤ -4

And in that case, our two inequalities are:

x ≤ -4

x > 4

So the correct graph is graph D.

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A triangle has two sides of lengths 10 and 14 what value could the length of the third side be

Answers

Answer:

17.20465053

Step-by-step explanation:

17.20465053 or

17.2 (to 1 dp)

Answer:

Third side has to be greater than 4 and less than 24.

Step-by-step explanation:

A triangle is valid if the sum of two sides is greater than the third side. That has to be the case for each of the sides. So let the sides of triangle be a, b and c.

a + b > c

a + c > b

b + c > a

Given:

a = 10

b = 14

We are looking for the third side, c.

First inequality:

a + b > c

10 + 14 > c

24 > c

This tells us that c has to be less than 24.

Second inequality:

a + c > b

c > b - a

c > 14 - 10

c > 4

This tells us that c has to be grater than 4.

Third inequality:

b + c > a

c > a - b

c > 10 - 14

c > -4

This tells us that c has to be greater than -4. But we also know that c has to be greater than 4, so we take 4 as the minimal value for c.

Final answer:

4 < c < 24

Third side has to be greater than 4 and less than 24.

Which inequality is shown on this graph?

Answers

The inequality which shows the graph is [tex]y\le\ 4x+2[/tex].

What is inequality?

A statement of an order relationshipgreater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

As, from the inequalities the graph is representing the fourth inequality.

The graph attached below show the graph corresponding to  

[tex]y\le\ 4x+2[/tex] is shown.

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The cost of the fruit is given by the function y = 3x + 1, where x is the number of fruits and y is the total cost. Find the range of the function.

Answers

The range of the given function will lie from ( -0.333,0) to ( 0,1).

What is the range?

A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

Given that:-

The cost of the fruit is given by the function y = 3x + 1, where x is the number of fruits and y is the total cost.

When we plot the graph of the function we will see that the straight line will cut the x-axis at point (-0.333 ) and the y-axis cut at ( 0,1 ) the points between the two points will be the solutions of the equation.

Therefore range of the given function will lie from ( -0.333,0) to ( 0,1).

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Answer:i think the answer is B

Step-by-step explanation:

What is the area of rectangle ABCD?

coordinate plane with rectangle ABCD at A 0 comma 1, B 0 comma 4, C 4 comma 4, and D 4 comma 1

12 square units
14 square units
16 square units
18 square units

Answers

The area of a 2D form is the amount of space within its perimeter. The area of the rectangle is 12 units². Thus, the correct option is A.

What is an area?

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

As per the given information, the graph of the rectangle can be made as shown below. It can be observed from the graph that the length of the rectangle and width of the rectangle are 4 units and 3 units, respectively. Therefore, the area of the rectangle is,

Area = 4 units × 3 units = 12 units²

Hence, the area of the rectangle is 12 units². Thus, the correct option is A.

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Read the passage from Sugar Changed the World.Sugar was the connection, the tie, between slavery and freedom. In order to create sugar, Europeans and colonists in the Americas destroyed Africans, turned them into objects. Just at that very same moment, Europeansat home and across the Atlanticdecided that they could no longer stand being objects themselves. They each needed to vote, to speak out, to challenge the rules of crowned kings and royal princes. How could that be? Why did people keep speaking of equality while profiting from slaves? In fact, the global hunger for slave-grown sugar led directly to the end of slavery. Following the strand of sugar and slavery leads directly into the tumult of the Age of Revolutions. For in North America, then England, France, Haiti, and once again North America, the Age of Sugar brought about the great, final clash between freedom and slavery.Based on this excerpt, what question are the authors trying to answer?How did colonists challenge the rules of crowned kings?How did the Age of Sugar differ from the Age of Revolutions?When did Europeans decide to speak about equality?Why did some Europeans decide they wanted to speak out about slavery? identify the reasons why medical doctors enjoy high prestige in the united states. A/n ____ is a part of a circle that represents an angle. How to make poultry farm? An electrical resistor is rated at 4500 ohms 3%. Express this tolerance in ohms and state theactual range of resistance. Help meeeeeeeeeeeeeeee Term Definition7. Independent variable a. The number of unpopped popcorn kernels8. Controlled variable b. The brand of popcorn9. Responding variable c. The time the popcorn is cooked Solve 8x + c = k for x.A. x=8(k-c)OB. x=_k+c8O C. x = 8(k+c)O D. x=k-c8 A pregnant client with type i diabetes asks the nurse about how to best control her blood sugar while she is pregnant. the best reply would be for the woman to: The best way to describe the suprematist work of Kazimir Malevich isA. abstract B. stylizedC. naturalisticD. realistic Line q and m are cut by transversal lines j and k. The line and the measures of some of the angles created by the intersections of the lines are shown in the diagram below. What is the measure, in degrees, of angle 1? Dr. Karen shively studied macaque monkeys. How did the subordinate monkeys arteries differ from the dominant monkeys arteries? Calculate the percent covalent character of a chemical bond between iodine and lithium. . An elevator in a building starts with five passengers and stops at seven floors. Say every passenger is equally likely to get off at each floor and all the passengers leave independently of each other. a. How many ways are there for the passengers to be assigned a floor? b. How many ways are there for the passengers to be assigned a floor but no two passengers are on the same floor? only a genius can solve it !![tex] \frac{ \cos(A) }{1 - \sin(A) } + \frac{ \sin(A) }{1 - \cos(A) } + 1 = \frac{ \sin(A) \cos(A) }{(1 - \sin(A)(1 - \cos(A)} [/tex] What is the factored form of the following expressions?x2 x 42 There are 60 students studying Sciences (Biology, Chemistry or Physics). 7 students study Biology, Chemistry and Physics. 12 students study Biology and Chemistry. 15 students study Biology and Physics. 20 students study Chemistry and Physics. 35 students study Biology. 32 students study Physics. B Complete the Venn diagram. E P C There are 60 students studying Sciences ( Biology , Chemistry or Physics ) . 7 students study Biology , Chemistry and Physics . 12 students study Biology and Chemistry . 15 students study Biology and Physics . 20 students study Chemistry and Physics . 35 students study Biology . 32 students study Physics . B Complete the Venn diagram . E P C A gas mixture has a total pressure of 0.56 atm and consists of He and Ne. If the partial pressure of the He in the mixture os 0.27 atm. What is the partial pressure of the Ne in the mixture? y=2x^2-4x-3Solve quadratic questions X^2 + y^2 = 169 and y = -5 as a graph and where are the coordinates of intersection