Mathematics Middle School

Which expression is equivalent to

1/2(2+3x−6)

Answers

Answer 1
1 + 1.5x - 3 is one possibility. That's what you get when you remove the brackets.
Answer 2
There are no expressions to choose from, but if you're simplifying, it would look like this:

=1/2(2+3x−6)
multiply 1/2 by all in parentheses
=(1/2*2)+(1/2*3x) + (1/2*-6)
=2/2 + 3/2x - 6/2
=1 + 3/2x - 3
combine like terms
=3/2x - 2 improper fraction
OR
=1 1/2x - 2 mixed fraction

ANSWER: 3/2x-2 or 1 1/2x-2

Hope this helps! :)

Related Questions

A coin is tossed 20 times. It lands on heads 14 times. What is the relative frecuencue of heads?

Answers

THe relative frequence of heads is 0.7.

What is 5(x+10)+x simplified

Answers

5x + 50 +x
= 5x*2( square ) + 50
Question: 5(x+10)+x
1st step - multiply 5 with everything in the parenthesis.
after multiplying everything in the parenthesis with 5 the answer will be - 5x+50+x.
2nd step - add like terms.  
3rd - the answer will be 6x+50. 
Hope it helps :)

Which of the following had a graph that is wider than the graph of y=3x^2+2?

A. Y=3x^2+3
B. Y=0.5x^2+1
C. Y=-4x^2-1
D. Y=4x^2+1

Answers

the answer is b y=0.5x^2+1

Answer:

Out of the options given prior to the question, the graph that is wider than the graph y = 3x^2 + 2 would be B) y = 0.5x^2 + 1. Hope we helped! :D


Justin is going to the school dance. He went to the mall and bought three new shirts for $21.99 each and a new pair of dress shoes for $45.59. Which two operations would be used in order to figure out how much he spent at the store?
A. add and divide
B. multiply and subtract
C. multiply and add
D. add and subtract

Answers

C. Multiply and add

Cost = (3×21.99)+45.99
Cost = $111.96

How do you do this obe

Answers

A*2 + B*2 = C*2

a*2 + 6 = 16
Subtract 6 from both sides
a= 10
= 3.16

What is the approximate solution of this system of equations?

y = x2 + 3x + 3
y = x2 + x + 2

(-0.5, 0.2)
(-0.5, 1.7)
(-0.1, 1.2)
(0.2, 1.5)

Answers

I believe it's the second one, (-0.5, 1.7)


Comment the correct answer. 

Answer:

(B)

Step-by-step explanation:

The given system of equations are:

[tex]y=x^2+3x+3[/tex]                                      (1)

and [tex]y=x^2+x+2[/tex]                                (2)

Subtracting equation (2) from (1), we get

[tex]0=2x+1[/tex]

⇒[tex]2x=-1[/tex]

⇒[tex]x={\frac{-1}{2}}[/tex]

⇒[tex]x=-0.5[/tex]

Now, substituting the value of x=-0.5 in equation (2), we get

[tex]y=0.25-0.5+2[/tex]

⇒[tex]y=1.7[/tex]

Thus, the values of x and y are -0.5 and 1.7.

Therefore, the approximate solution of the given system of the equation is (-0.5, 1.7).

Hence, option (B) is correct.

What is the volume of a cube with a side length that measures 8cm? ANWSER ASAP please

Answers

what you do is 8 x 8 x 8 and cube your number 
=512
v=512cm3 if tell me if this works your wellcome

Kevin works as a salesperson at a site that specializes in custom made computers. He earns a base pay of 325$ per week and a commission on his sales. If Kevin earned a total of $1125 last week, how much of it was commission?

Answers

800$ in sales is what kevin made

Answer:

$800

Step-by-step explanation:

Kevin works as a sales person at a site that specialize in custom made computers.

Kevin earns a base pay per week = $325

and a commission on his sales.

Kevin earned last week a total of = $1,125

So his commission = Total pay - his base pay

                               = 1,125 - 325

                               = $800.00

His commission was $800.

Estimate 7 1/4-2 5/12

Answers

7 1/4 - 2 5/12 = 29
6
= 45
6
≅ 4.833333

To estimate 7 1/4 - 2 5/12, convert the mixed numbers to improper fractions, find a common denominator, subtract, and simplify. The result is approximately 4.83, which is close to 5.

Estimating 7 1/4 - 2 5/12

To estimate the difference between 7 1/4 and 2 5/12, it's helpful to convert these mixed numbers to improper fractions first. Let's break it down step by step:

Convert the mixed numbers to improper fractions:7 1/4 = (7*4 + 1)/4 = 29/42 5/12 = (2*12 + 5)/12 = 29/12Find a common denominator for the fractions, which is 12:Convert 29/4 to a fraction with a denominator of 12: (29/4) * (3/3) = 87/12Subtract the fractions:87/12 - 29/12 = (87 - 29) / 12 = 58/12Simplify the result:58/12 simplifies to 29/6 or approximately 4.83

Therefore, the estimate of 7 1/4 - 2 5/12 is approximately 5.

What is the value of x in simplest radical form ?

Answers

Solve for X (hypotenuse)

Hypotenuse = [tex] \sqrt{a^{2}+b^{2}} [/tex]

Substitute 20 for A and 21 for B
[tex] \sqrt{20^{2}+21^{2}} [/tex]

Solve exponents
20^2 = 400
21^2 = 441
Hypotenuse = [tex] \sqrt{400 + 441} [/tex]

Add
400 + 441 = 841
Hypotenuse = [tex] \sqrt{841} [/tex]

Solve square root
[tex] \sqrt{841}[/tex] = 29
Hypotenuse = 29

How do u find the mean? I've never done this before the subject is try check and revise

Answers

Example you got

2,4,3,6,5

To find the mean you have to add those numbers

2+4+3+6+5 = 20

So you have to divide 5 by 20 because there are 5 number
20 divide 5 = 4

Mean equal 4

Answer,

The mean is the average of the numbers.  It's quite simple to find the mean. All you do is, add all the numbers togter & divide by how many numbers there are. In simpler words, it is the sum divided by the count.


For example,

The mean of the numbers is, 50

Explanation,

20 + 30 + 40 + 50 + 60 + 70 + 80 = 380

Then we divide 350 by how many numbers there are, 7. Then we get 50.



Hope this helps :-)




Miki, a resident of Kyoto, earns an annual salary of ¥6,760,950. If the Japanese government levies a 29.12% income tax on Miki’s tax bracket, what is her yearly take-home pay, to the nearest whole yen?

Answers

Find 29.12% of 6,760,950. You can do this by converting 29.12% to a decimal by moving the decimal 2 places to the left and getting rid of the percent sign. Do this and you figure out 29.12% is .2912 as a decimal. Now you multiply this decimal with 6,760,950 to find what the government takes for taxes from his annual salary. You get 1,968,788.64. This is not your final answer because you want to find the amount of money he keeps after taxes. So you'd subtract 1,968,788.64 from 6,760,950. This gives you 4,792,161.36. This is his take-home pay, but you have to round to the nearest yen, so your final answer is 4,792,161.

Her yearly take-home pay, to the nearest whole yen is 4792161¥

What is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Given, Miki, a resident of Kyoto, earns an annual salary of ¥6,760,950.

Since,

the Japanese government levies a 29.12% income tax on Miki’s tax bracket

Thus,

tax she pays = 6,760,950 *29.12%

tax she pays =  6,760,950 *29.12/100

tax she pays =  1,968,788.64¥

remaining income to take home = total income - tax

remaining income to take home = 6,760,950 - 1,968,788.64

remaining income to take home = 4792161.36¥

Therefore, her yearly take-home pay, to the nearest whole yen is 4792161¥

Learn more about percentages here:

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A dripping faucet leaks 12 gallons of water per day. How many gallons does the faucet leak in 6 days?

Answers

72, because 12*6 is 72!

how you would write an expression that shows the cost to rent the bicycle for d days.

Answers

C= total cost
d= number of days
r= rental cost

C= r * d
C= rd

Example:
If it cost $10 per day and you rented for 5 days, the total cost would be:
C= ($10)(5)
C= $50

Hope this helps! :)

what is the probability of randomly choosing a day of the week that dosen't begin with the letter t and the letter s

Answers

(S) (M) (T) (W) (T) (F) (S) = 3/7
3/7 there are 7 days of the week and three don't start with T or S

Spin a spinner numbered 1-8 two times, land on two the first time and
land on a factor of 8 the second time

Answers

The correct probability is 1/16.

Explanation:

There is 1 section marked 8 out of 8 sections.  This makes the probability of landing on an 8 1/8.

The factors of 4 on this spinner are 1, 2, 4 and 8.  This makes 4 sections out of 8, which makes the probability of landing on a factor of 8 equal 4/8=1/2.

Together, the probability of both events would be 1/8(1/2) = 1/16.

Answer:

Required probability = 1/16

Step-by-step explanation:

When we spin a spinner numbered 1-8, we find that each spin is independent of the other.

HEnce probability for getting any number from 1 to 8 will be equal to 1/8 and remain the same for each spin.

So Probability on two for the first time and factor of 8 on the second time

=Prob (landing on 2)*Prob (landing on any factor of 8)

P(landing on 2) = 1/8

Factors of 8 are 1,2,4,8

Prob (landing on factor of 8) = 4/8

Hence required prob = 1/8(4/8) =1/16

Help from 1-3 show work please!!

Answers

1. N represents the length of each side

2. (n) + (n+1) + (n + 2) 
(Not to sure of this one, xd)

3.
30x-40

This week Luis made 80% of what he made last week. If he made $72 this week, how much did he make last week

Answers

$57.60 is the answer to the question
The answer would be $90

Suppose that you have 4 shirts (red, green, blue, yellow) and 3 pairs of shoes (black, brown, red). If you choose your shirt and shoes randomly, what is the probability that your shirt and shoes will NOT be the same color?

Answers

There are 4*3 = 12 different outfits to pick. Imagine laying out a grid where you can list all of the possible choices for the outfit. Think of it like a multiplication table. It might be a handy way to visually sort everything out.

Of these 12 combos, only 1 has your shirt and shoes matching in color. This is when you pick the red shirt and red shoes. The other 12-1 = 11 outfits will not match.

The probability that you do not pick the same color shirt and shoes is 11/12 (exact fraction form) since there are 11 cases of nonmatching outfits out of 12 total. This is approximately equal to 0.9167 in decimal form which converts to 91.67%

Laila said 4 equals -4. Is Laila correct? Use the number line and words to support your answer

Answers

[Due to the fact that your question doesnt have enough context here is my answer]

Laila is wrong due to the fact that its not possible to have 4 = -4 on a number line...
She is incorrect, -4 and 4 are different sides of the number line!

Tim fisher received a 1200 discount loan to purchase a computer the loan was offered at 18% for 180 days find the interest in dollars and the proceeds for the following problem

Answers

The interest is $106.30 and the proceeds is approximately $1093.70

Calculating simple interest.

The simple interest is the amount of interest charges on the amount being borrowed and its paid by the borrower.

The simple interest can be determined by using the formula;
[tex]S. I = \dfrac{p\times r \times t}{100}[/tex]

[tex]S. I = \dfrac{1200\times 18 \times \dfrac{180}{365}}{100}[/tex]

S.I = $106.30

The proceeds for the loan = Loan amount - interest

Proceeds = $1200 - $106.30

Proceeds = $1093.70

If the sides of a cube are 2 meters long, then its volume is A) 8 m B) 8 m2 C) 8 m3 D) 8 m4 Eliminate

Answers

Hello there,

The answer to your question would be:

C. [tex] 8m^{3} [/tex]

Hope this answer helps.
Volume = Length x Width x Height 

So 2 x 2 x 2
4 x 2 = 8 and because it's volume (and you are multiplying 3 numbers) the answer is 8m3 or C

How does the graph of g(x)=⌈x⌉+0.5 differ from the graph of f(x)=⌈x⌉?

A. The graph of g(x)=⌈x⌉+0.5 is the graph of f(x)=⌈x⌉ shifted up 0.5 unit.

B. The graph of g(x)=⌈x⌉+0.5 is the graph of f(x)=⌈x⌉ shifted left 0.5 unit.

C. The graph of g(x)=⌈x⌉+0.5 is the graph of f(x)=⌈x⌉ shifted down 0.5 unit.

D. The graph of g(x)=⌈x⌉+0.5 is the graph of f(x)=⌈x⌉ shifted right 0.5 unit.

Answers

In general, a positive constant moves a function upwards and a negative value moves it downwards. Thus, g(x)=⌈x⌉+0.5 is 0.5 units above f(x)=⌈x⌉, as shown in attached picture.

To shift a function left, you add units to the independent variable.To shift it right, you subtract a constant from "x".
Example:
h(x)=⌈x+1⌉ is 1 unit left to f(x).

Answer: Here is your answer!! :)

Step-by-step explanation:

Luis skates 2/3 mile from his home to school. Isabella skates 2/4 mile to get to school. Who skates father?

Answers

In order to figure out whether Luis or Isabella skates farther to get to school, we have to create a common denominator between the two fractions that represent the distance that each person walks.

The least common denominator of 3 and 4 is 12.  This means that we have to change both fractions into equal fractions with denominators of 12.

To figure this out, we must set up a proportion.
2/3 = x/12
To solve this proportion, we must cross-multiply the fractions.  We get:
24 = 3x
If we divide both sides by the coefficient of x which is 3, to get the variable x alone, we get:
x = 8

Therefore, 2/3 = 8/12, so Luis skates 8/12 mile from his home to school.

If we do the same process for the 2/4 mile to get to school for Isabella, we get 6/12, because both fractions are equal to 1/2.

Therefore, we know that Luis skates 8/12 mile to school and Isabella skates 6/12 mile to get to school.  Because they have the same denominator, we can just compare the numerators.  We know that 8 is greater than 6, thus Luis skates farther to get to school.

Final answer:

Luis skates further to school than Isabella, as 2/3 mile is greater than Isabella's distance of 1/2 mile after simplification.

Explanation:

The question revolves around figuring out who skates further to school, Luis or Isabella. Luis skates 2/3 mile from his home to school whereas Isabella skates 2/4 mile (which can be simplified to 1/2 mile) to get to school. To determine who skates further, we look at the fraction representing the distance each person skates.

Luis's distance is 2/3 mile, and Isabella's distance, after simplification, is 1/2 mile. Since 2/3 is greater than 1/2, Luis skates further to get to school than Isabella.

Johanna wants to rent a car for 5 days, and she's interested in the loss damage waiver but not the collision damage waiver. If the daily rate is $29 and LDW totals $62 for the rental period, what is her total rental cost?

Answers

$29 x 5 days = $145 

$145+ $62= $207
 
Her total rental cost would be $207

Answer:

$207

Step-by-step explanation:

yw

What is the value of 6 in the number 45.026

Answers

6 thousandths






i need 20 characters

An iron bar 468 3/4 inches long is to be cut into 6 1/4 inch sections. How many sections of this length will there be?

Answers

468 3/4 divided by 6 1/4 = 75 sections

If 16-7w=w+14-6w16−7w=w+14−6w16, minus, 7, w, equals, w, plus, 14, minus, 6, w, what is the value of w-1w−1w, minus, 1?

Answers

-2.1 Is the answr
Hope dis helps

Answer:

Value of w = 1

w - 1 = 1 - 1 = 0

Explanation:

We have 16 - 7w = w + 14 - 6w

Firstly,  we will find the value of w.

In order to find the value of w, we will solve the linear equation for w.

Now combine like terms

16 - 14 = w - 6w + 7w

2 = 2w

2w = 2

w = [tex] \frac{2}{2}  [/tex]

w = 1

Now we will find the value of w - 1

Plug the value of w = 1 into w - 1

1 - 1

= 0

So, final answer is 0

I hope it will help you.

A fourth degree polynomial with real coefficients can have -4, 8i,+4i, and as its zeros. True or false? Justify your answer.

Answers

You didn't give the fourth zero, but the answer is still false. If you have a root or an imaginary number as a zero, then its conjugate is also a zero. So if 8i is a zero, then -8i must also be a zero, and if 4i is a zero, then -4i must be a zero, with those zeros and -4, the number of zeroes exceeds the number of zeroes that a fourth degree polynomial can have.

The given statement is false, as a fourth degree polynomial with real coefficients -4, 8i,+4i cannot be formed it will form three degree or cubic polynomial as given by f(x) = (x + 4)(x - 8i)(x - 4i)

What is Polynomial ?

Polynomial is an expression that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

Polynomials can be classified based on degree as linear, quadratic, cubic, fourth degree.

Let f(x) represent the function with zeros 4​, 8i ​, and 4i. Hence:

x = -4; 8i; x = 4i

x + 4 = 0; x - 8i = 0; x - 4i = 0

f(x) = (x + 4)(x - 8i)(x - 4i)

The three degree polynomial is given by f(x) = (x + 4)(x - 8i)(x - 4i)

Find out more on polynomial at:

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3. Janet is flying a kite on a string that is 75m long. The kite is 62m above the ground. Estimate the distance between Janet and the spot on the ground directly beneath the kite.
(a) Draw a diagram showing Janet and the kite.
(b) What is the length of the string of the kite?
Answer:

Answers

Hey there! :D

For this, you will need to draw your own diagram, but I think you can do this if I explain it. It should look like a triangle. Where the string is a vertex, and the kite is an upper vertex. The bottom is the distance. Look at the example. You can label the distances on it if you want to. 

c= length of the string (75m)

b= height of the kite (62m)

a will equal the distance between Janet and the spot on the ground beneath the kite. 

Now, we plug it into the Pythagorean theorem.

a^2+b^2= c^2

a^2+ 62^2= 75^2

Square the numbers.

a^2+3844= 5625

Subtract 3844 on both sides. 

a^2= 1781

Find the square root. 

√1781= 42.2 or 42. 

I hope this helps!
~kaikers

*Credit for picture to Google Images* 
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