What does -3+x-1/3x+4 equal

Answers

Answer 1
Answer:

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

Step-by-step explanation:1. Combine multiplied terms into a single fraction

-3 + x - [tex]\frac{1}{3}[/tex]x + 4

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

2. Add the numbers

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

1 + x + [tex]\frac{-x}{3}[/tex]

3. Find common denominator

1 + x + [tex]\frac{-x}{3}[/tex]

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

4. Combine fractions with common denominator

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

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

5. Combine like terms

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

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

6. Rearrange Terms

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

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

Solution:

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

I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!


Related Questions

Which of the following is TRUE about the slope of a line? *
A. The slope of a vertical line is zero.
B. The slope of a vertical line is undefined.
C. The slope of a line is always positive. D. The slope of a horizontal line is negative.​

Answers

Answer:

Step-by-step explanation:

The answer is B.

The slope of a verticle line is "undefined" by nature. As it is infinite

Kiara has 80 lollipops and 32 snicker bars. She is feeling individual bags for Halloween in with like each bag contains the same combination of lollipops and snicker bars. How many bags can she feel if she wishes to have no candy left over? How many lollipops is snicker bars are in each bag?

Answers

Answer:

16 bags: 2 snicker bars and 5 lollipops in each

Step-by-step explanation:

The greatest common factor of 80 and 3 is 16.

80÷5=16

32÷2=16



And 5 represents the lollipops and 2 represents the snickers.

what is the ratio of 500 students and 10 classrooms

Answers

Answer:

FOR EVERY 1 CLASSROOMS THERE ARE 50 STUDENTS, SO 50 STUDENTS IN EACH CLASSROOM the ration would be 50:1

Step-by-step explanation:

Answer:

I think its 50:1

Step-by-step explanation:

solve (4,19) and (9,24) in y=mx+b form

Answers

Answer:

Equation of the line:

y = x + 15

slope: 1

a newborn weighing 5 lb (2250 g) needs to eat 3 oz (90 ml) of formula every 3 hours. to meet this goal, how many ounces of formula per day will the parent need to feed the newborn? record your answer using a whole number.

Answers

it would be 72.94 ounces of formula per day will the parent need to feed the newborn

In this problem, the infant is fed for every 3 hours.

Then, the frequency of feeding for a day would be: (24hours/day) / 3(hours/times)= 6 times/ day.

The volume of feeding for a day that the infant need would be:  = 473.68ml/day

The number of milk for every fed would be: (473.68ml/day)/ (6 times/day)=  72.94 ml/times

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If the equation of f(x) goes through (1, 4) and (4, 6), what points does f-1(x) go through?.

Answers

The positions through which the equation of f^-1(x) travels are: (4, 1), (6, 4)

What are equations?

A mathematical statement called an equation is comprised of two expressions joined together with the equal sign.

A formula would just be 3x - 5 = 16, for instance.

When this equation is solved, we observe that the value of the variable x is 7.

So, (1, 4) and (4, 6) are points through which the equation of f(x) goes.

If the f (x) equation contains (x, y).

Therefore, the f^-1(x) equation is as follows: (y, x).

Here, the f (x) equation passes through the following points: (1, 4) and (4, 6).

So, (4, 1) and (6, 4) are the points through which the equation of f^-1(x)  goes through.

Therefore, the positions through which the equation of f^-1(x) travels are:

(4, 1), (6, 4)

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Correct question:
If the equation of f(x) goes through (1,4) and (4,6), what points does f^-1(x) go through?

At a sale, coats were sold for $104 each. If the coats originally cost $160 each, what percentage of its original price was a coat sold for?

Answers

well, if we take 160 to be the 100%, what is 104 off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 160 & 100\\ 104& x \end{array} \implies \cfrac{160}{104}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{ 20 }{ 13 } ~~=~~ \cfrac{100}{x}\implies 20x=1300\implies x=\cfrac{1300}{20}\implies x=\stackrel{\%}{65}[/tex]

Coats sold for 65% of its original price at a sale.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, at a sale, coats were sold for $104 each and the coats originally cost $160 each.

Let x% of $160 be $104.

Now, x% of 160=104

x/100 ×160=104

x=104/160 ×100

x=0.65×100

x=65%

Therefore, 65% of coats original price was a coat sold for.

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What is the length of side bc of the triangle? enter your answer in the box. Units.

Answers

The length of the side  BC Iis equal to 28 units which we get by using congruency.

What is congruency?

In other words, if the lengths of the sides and angles are the same for two shapes, they are congruent (the same in shape and size). When two triangles are congruent, it is frequently useful to know.

* In triangle ABC

∵ Angles B and C comes to be congruent

∴ m∠B = m∠C

* In any triangle if two angles are equal in measure, then the triangle is isosceles means the two sides which opposite to the congruent angles are equal in length

∴ AB = AC

∵ AB = 4x - 7

∵ AC = 2x + 7

∴ 4x - 7 = 2x + 7 ⇒ collect same terms

∴ 4x - 2x = 7 + 7

∴ 2x = 14 ⇒ divide both the sides by 2

∴ x = 14 ÷ 2 = 7

* Now we can find the length of side BC

∵ The length of side BC = 4x ⇒ substituting the value of x

∴ The length of side BC = 4 × 7 = 28 units

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Correct Question

What is the length of side BC of the triangle? Enter your answer in the box. units Triangle A B C with horizontal side B C. Vertex A lies above side B C. Angle B and angle C are marked congruent. The length of side A C is labeled as 2 x plus 7. The length of side A B is labeled as 4 x minus 7. The length of side B C is labeled as 4 x.

573x2883 long divison

Answers

Answer:

The answer is 165,1959 if you don't need to show work.

Is joni correct? explain. joni is not correct, because $230 is just the interest she will earn; she will have $430 total. joni is not correct; $230 will be her balance after 1 year. after 3 years, she will have $290. joni is not correct because she used the simple interest rate formula, not the compound interest rate formula. she will have $231.53. joni is correct. she correctly applied the i = p · r · t formula, and will have $230.

Answers

Joni is mistaken because she applied the compounding rate formula rather than just the simple interest rate equation, which is incorrect. $231.53 will belong to her.

Explain the term compounded annually?The equation A=P(1+r)t can be used to calculate the amount A you would have after t years if you deposit P dollars together in savings account including an annual interest rate of r and also the interest is compounded annually.

The $200 was deposited by Joni into an account that earned interest at a 5% annual compound rate.

Joni calculated and she'll have a final balance of $230 after three years.

The steps are as following,

P = 200, r = 5, t = 3I = 200*0.05* 3I = 3030 + 200 = 230

Because Joni employed the simple interest rate method instead of the compound interest rates formula, she is mistaken $231.53 will belong to her.

The yearly compound interest rate if 5% is stated above.

As a result, she ought to have used the compound interest calculation when calculating.

A = P(1 + r/n)∧(nt)

Amount then becomes:

A = 200(1 + 0.05)³

A = $231.53.

Thus, final amount will be obtained as  $231.53.

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The complete question is-

Joni put $200 in an interest-bearing account with an annual compound interest rate of 5%. Joni determined that after 3 years, she will have a total balance of $230. Her work is shown below. Step 1: P = 200, r = 5, t = 3 Step 2: I = 200 ∙ 0.05 ∙ 3 Step 3: I = 30 Step 4: 30 + 200 = 230 Is Joni correct? Explain. Joni is not correct, because $230 is just the interest she will earn; she will have $430 total. Joni is not correct; $230 will be her balance after 1 year. After 3 years, she will have $290. Joni is not correct because she used the simple interest rate formula, not the compound interest rate formula. She will have $231.53. Joni is correct. She correctly applied the I = P · r · t formula, and will have $230.

Which of the following would you round and estimate to a sum of 11?

3.65 + 7.992
3.41 + 8.051
4.25 + 8.103
4.89 + 7.431

Answers

3.41 + 8.051
= 11.461 rounded down
11
3.41+8.051 I think that

Write this number in word form 84,052

Answers

84,052 = Eighty four thousand fifty two

Answer:

eighty-four thousand fifty-two

Step-by-step explanation:

the way i think about it is writing it as the sum of the digits together.  

80000+4000+50+2

eighty-four thousand fifty-two

Given the diagram below, if Z is the incenter of WXY, WYX =86, and WXZ=33. Find each measure.​

Answers

Triangle is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

The values of each measure:

m∠WYZ = 43

m∠WXY = 33

m∠YWX = 61

m∠ZWX = 30.5

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Z is the incenter of WXY.

m∠WYX = 86

This means,

m∠WYZ = m∠XYZ = x

m∠WYZ + m∠XYZ = m∠WYX

2x = 86

x = 43

m∠WXZ = 33.

m∠WXZ = m∠WXY

Now,

The triangle WXY.

m∠YWX + m∠WXY + m∠WYX = 180

m∠YWX + 33 + 86 = 180

m∠YWX = 180 - 119

m∠YWX = 61

m∠ZWX = 61/2 = 30.5

Thus,

The values of each measure:

m∠WYZ = 43

m∠WXY = 33

m∠YWX = 61

m∠ZWX = 30.5

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nine new employees, two of whom are married to each other, are to be assigned nine desks that are lined up in a row. if the assignment of employees to desks is made randomly, what is the probability that the married couple will have adjacent desks? (round your answer to the nearest tenth of a percent.)

Answers

The probability that the married couple will have adjacent desks is 0.22.

Fundamental Principle of Counting, also called the counting rule, is the method to count how many ways multiple independent events can occur.

Thus, by Fundamental Principle of Counting, the number of possible arrangements where the married coupe has adjacent desks is 80640.

= 8 x 7! x 2

= 80640

Ans the total number of possible arrangements is 362880.

= 9!

= 362880

Probability is defined as the likeliness of an event to occur. The probability of any event to occur ranges from 0 to 1, and the sum of all the probabilities of all the events happening is 1.

probability = desired outcome / total outcomes

probability = 80640/362880

probability = 0.22

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i want one halve of a cupcake for myself 4 halves for my friend and 3 halves for my other friend

Answers

Answer: Split it into 8 pieces.

Step-by-step explanation: If there is 4 halves for your friend, and 3 halves for your other friend, that will be 7. If you add another one, it will be 8. Therefore, you should split the cupcake into 8 pieces.

Darren bought 53.11 pounds of fruit for a class party. The class ate 0.6 pounds of the fruit. How much fruit is left?

Answers

This is pretty simple just do this:
53.11-0.6=52.51
There ya go :)

Can I get 10 comments in 10 minutes

Answers

Answer: Welp, here it is.

Step-by-step explanation:

I clicked the keyboard :)

hhhhhhhhhhhhhhhhhhhhhhhhh

Given: -6x < 36. Choose the solution set. {x | x < -6} {x | x > 6} {x | x > -6} {x | x < 6}.

Answers

The correct answer is this inequality {x | x > -6}

What does a math inequality look like?

The equation-like form of the formula 5x 4 > 2x + 3 has an arrowhead in place of the equals sign. It is an illustration of inequity. This shows that the left half, 5x 4, is bigger than the right part, 2x + 3.

Given that:

-6x < 36

we multiply -1 on both the sides

6x > -36

divide 6 on both the side

x > -6

Hence the correct answer is this inequality {x | x > -6}.

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HELP PLEASE!!!! URGENT!!

Answers

Seen your post like 5 times lol I’ll help you in the other one

your parents gave you $50 to take your brother and sister to the movies. your ticket cost $8.25 and your siblings cost $4.25. if you spent an additional $20 on soda and popcorn, how much money did you bring home with you?

Answers

The money left is $13.25.

Given data,

Your parents handed you $50 to spend on movie tickets for your sister and brother. You paid $8.25 for your ticket, while your siblings paid $4.25.

To know how much money you bring home after spending an extra $20 on soda and popcorn,

Your entry cost is $8.25

$4.25 for the brother's ticket

Sister's entry fee is $4.25.

$20 for soda and popcorn.

Total = 8.25 + 4.25 + 4.25 + 20.00 = $36.75

You received $50 from your parents.

You have spent $36.75.

Balance: 50.00 - 36.75 = $13.25

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Remember
to estimate first
by rounding and multiplying
to find where the first digit
goes in the quotient.
1. 1,593/13

Answers

Answer:

Step-by-step explanation:

1593/13

122.538

answer: 122.5

question if x, y, and z are integers and xy z is an odd integer, is x an even integer? (1) xy xz is an even integer. (2) y xz is an odd integer.

Answers

xy + xz is an even integer & x is even and y + xz is an odd integer &  either (x-1) is even or (y-z) is even .

1. xy + xz is an even integer - SUFFICIENT

Given:

xy + z is odd ...(i)

xy + xz is even ...(ii)

subtracting (ii) from (i)

we get xz - z, which should be odd (* since odd - even = odd)

=> z(x-1) is odd

=> both z and (x-1) is odd

=> since (x-1) is odd, x must be even.

2. y + xz is an odd integer -INSUFFICIENT

Given:

xy + z is odd ...(i)

y + xz is odd ...(ii)

subtracting (ii) from (i)

we get xy + z - y - xz

= (x-1)(y-z) , which should be even

=> either (x-1) is even or (y-z) is even ....insufficient to determine

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a ship is off course. if the ship is traveling at 11 miles per hour, how far off course will it be after 3 hours?

Answers

With an off-course speed of 11 miles per hour, the ship will go 33 miles in 3 hours.

What is multiplication?

Multiplying in math is the same as adding equal groups. The number of items in the group grows as we multiply. Parts of a multiplication issue include the product, the two factors, and the product. The components in the multiplication problem 6 x 9 = 54 are the numbers 6 and 9, and the result is the number 54. One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of same size.

Here,

speed of ship= 11 miles/hour

time given= 3 hours

distance= speed * time

=11*3

=33 miles

The ship will cover 33 miles in 3 hours while moving at the speed of 11 miles/ hour off course.

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Find the 54th term of the arithmetic sequence -2, -8, -14,

Answers

Answer:

-2n+4

-2×54+4

-108+4

-104

What two numbers multiplies to negative 480 and adds to negative 28?​

Answers

Answer:

-40 ,12

Step-by-step explanation:

you will have to look for the factors of 480 that satisfy this condition and for this case , they're -40 and 12

If x = 6 and y = -4, evaluate the following expression: 20 - 5y + 2x​

Answers

answer:

20-5y+2x=52

step-by-step explanation:

plug in the values of x & y into the expression and calculate using the order of operations to get the answer. hope that helps!

Answer: 52

Step-by-step explanation:

1. plug in x and y into the expression : 20 - 5(-4) +2(6)

2. multiply the numbers in the parenthesis:  20 + 20 + 12
3. add all the numbers together (simplify): 52

special industrial battery must have a life of at least 400 hours. a hypothesis test is to be conducted with a 0.02 level of significance. if the batteries from a particular production run have an actual mean use life of 391 hours, the production manager wants a sampling procedure that only 10% of the time would show erroneously that the batch is acceptable. what sample size is recommended for the hypothesis test? use 45 hours as an estimate of the population standard deviation. (round your answer up to the nearest integer.)

Answers

488601 is the sample size recommended for the hypothesis test.

Given,

The life of the battery = 400 hours

Significance level = 0.02

Mean = 391 hours

The production manager needs a sampling technique that would incorrectly indicate that the batch is acceptable only 10% of the time.

We have to find the sample size recommended for the hypothesis test;

Here,

Margin of error E = Z(α/2) × (σ/n²)

From this equation we get n as

n = (z × σ /E)^2

α = 0.02

From the standard normal table value we get

z(α/2) = 2.33

σ = 30

E= 0.1

Therefore,

n =(2.33*30/0.1)^2

n =488601

That is,

The sample size recommended for the hypothesis test is 488601.

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167. for the training adaptation of maximum strength, what is the recommended number of repetitions per set?

Answers

Each strength training exercise should be performed for 2 to 6 sets with no more than 6 repetitions. To encourage the greatest outcomes, the training intensity for each set should be 85% or greater.

What is percent?

In essence, percentages are fractions with a 100 as the denominator. We place the percent sign (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100). %, which is a relative figure used to denote hundredths of any amount. Since one percent (symbolized as 1%) is equal to one tenth of anything, 100 percent stands for everything, while 200 percent refers to double the amount specified.

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Find the value of x in the trapezoid below. Type only the numerical answer.

Answers

The value x of the trapezoid is 3 units.

How to find the side of a trapezoid?

A trapezoid is a quadrilateral with at least one pair of parallel sides .

The midsegment of a trapezoid is the segment connecting the midpoints of the two non-parallel sides.

The midsegment of a trapezoid is parallel to each base, and its measure is half the sum of the lengths of the bases.

Therefore,

29 = 1 / 2 × (23 + 11x + 2)

29 = 1 / 2 × (25 + 11x)

cross multiply

29 × 2 = 25 + 11x

58 = 25 + 11x

58 - 25 = 11x

33 = 11x

divide both sides by 11

x = 33 / 11

x = 3

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chegg how many cards must be selected from a standard deck of 52 cards to guarantee that at least four hearts, four diamonds and five clubs are selected?

Answers

26 cards must be selected from a standard deck of 52 cards to guarantee that at least four hearts, four diamonds and five clubs are selected.

We have given that standard deck of 52 cards.

And we have to find the number of cards must be selected from a deck to get at least four hearts, four diamonds and five clubs.

So four hearts + four diamonds + five clubs = 13 cards

The worst case, we may select all the spade i.e 13 cards before any heart, diamond and club.

So the guarantee that at least four hearts, four diamonds and five clubs are selected, 13 + 13 = 26

Therefore 26 cards must be selected from standard deck of 52 cards to guarantee that at least four hearts, four diamonds and five clubs are selected.

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An estimate of the percentage of defective items in the population is. the nurse will teach patients that antacids are effective in the treatment of hyperacidity based on what mechanism of action? Thermodynamics deals with the macroscopic properties ofmaterials. Scientists can make quantitative predictions about thesemacroscopic properties by thinking on a microscopic scale. Kinetictheory and statistical mechanics provide a way to relate molecularmodels to thermodynamics. Predicting the heat capacities of gasesat a constant volume from the number of degrees of freedom of a gasmolecule is one example of the predictive power of molecularmodels.The molar specific heat C_v of a gas at a constant volume is thequantity of energy required to raise the temperature T of one mole of gas by one degree while thevolume remains the same. 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