Mathematics Middle School

Which expression is equivalent to 4(3x+5y+2z)+3(x-z)
A. 12x+20y+8z
B. 5(3x+4y-z)
C. 15x+20y+5z

Answers

Answer 1
A. 12x+20y+8z...it's a simple distributive property question :)
Answer 2

Final answer:

The expression 4(3x+5y+2z)+3(x-z) is equivalent to 15x+20y+5z.

Explanation:

To simplify the expression 4(3x+5y+2z)+3(x-z), you need to distribute the 4 and 3 to each term inside the parentheses.

When you distribute the 4 and 3, you get 12x+20y+8z+3x-3z. Combine like terms to simplify further, which gives us 15x+20y+5z.

Therefore, the expression 4(3x+5y+2z)+3(x-z) is equivalent to C. 15x+20y+5z.

Related Questions

rosa, roberto, andrea, and inno find an estamate for the square root of ten who has proposed the best solution

Rosa, use the square root of 9 and the square root of 25
Roberto, use the square root of 4 and the square root of 90
Andrea, use the square root of 11 and the square root of 12
Inno, use the square root of 9 and the square root of 16

Answers

Inno: use the square root of 9 and the square root of 16 10 is between the perfect squares 3^2 = 9 and 4^2 = 16 Rosa's solution of 9 and 25 uses perfect squares but the wider range leaves more room for error. Roberto's as well with the added problem that 90 is not a perfect square and calculating that square root is just as hard as 10. Andrea's solution requires extrapolation which is best avoided if interpolation is an option and 11 and 12 are not perfect squares.

Final answer:

Inno's solution of using the square root of 9 and 16 is the best estimate for the square root of ten, as it provides a narrower and more accurate range for the estimate.

Explanation:

To estimate a square root that is not a perfect square, one strategy is to find integers that the number falls between, and then those integers' respective square roots give us a range within which the square root of the number will fall.

Rosa and Inno's approaches are similar and most appropriate because they both use 9 and another square number that is close to 10.

Rosa uses the square roots of 9 and 25. Since the square root of 9 is 3, and the square root of 25 is 5, we know that √10 is a little more than 3, because 10 is closer to 9 than it is to 25. Inno uses the square roots of 9 and 16. Since the square root of 16 is 4, √10 is closer to 3 than 4 because 10 is closer to 9.

Therefore, Inno's solution gives a closer estimate of the square root of 10, as it falls between 3 and 4 (and closer to 3), and this is the best solution among those proposed.

is 4 3/8 larger than 4.25 lb

Answers

Answer: Yes

Explanation:
4.25 
4[tex] \frac{3}{8} [/tex]    this can be written as a decimal by dividing 3 by 8
3 ÷ 8 = .375 
4.375 > 4.25

4 [tex]\frac{3}{8}[/tex] is  larger than 4.25 lb.

We'll convert the fraction 4 [tex]\frac{3}{8}[/tex]  to a decimal and compare it to the decimal 4.25.

First,

convert the mixed number 4 [tex]\frac{3}{8}[/tex] to an improper fraction:

4 [tex]\frac{3}{8}[/tex] = 4 + [tex]\frac{3}{8}[/tex]

Next,

convert [tex]\frac{3}{8}[/tex]  to a decimal:

3 ÷ 8

= 0.375.

Add the whole number part and the decimal:

4 + 0.375

= 4.375.

Now, we compare 4.375 with 4.25:

4.375 is clearly larger than 4.25.

So, 4 [tex]\frac{3}{8}[/tex]  is larger than 4.25 lb.

Dave rented a limousine for his wife's birthday. The hourly rate is $70. They used the limousine for 4 hours, plus Dave gave the driver a 20% tip. How much did he spend in total for the hourly charges plus tip? Question options: Dave gave the driver a 20% tip. How much did he spend in total for the hourly charges plus tip?
Question 2 options:

A)

$364

B)

$224

C)

$392

D)

$336

Answers

The correct answer is D) $336.

1. First calculate how much he spent on rental fees: $70 x 4 = $280

2. Next calculate how much he gave as a tip: $280 x 0.2 = 56

3. Add the two together $280 + $56 = $336

Muchas luck on your HW!

To make a trail mix you must have 4 cups of pretzels and 2 cups of bread chips. What is the ratio of pretzels to bread chips.

Answers

It's 2:1
4:2 divided by 2 on both sides is 2:1
The answer is 2:1
Hope this helps! Let me know if you need any further assistance!

3 pounds of lawn seeds cover 1800 ft.². How many 4 pound bags are needed to cover 8400 ft.²

Answers

1800/3 = 600
Every pound covers 600 square feet
8400/600 = 14
14/4 = 3.5 (round up) so it would become 4.


You would need 4 bags. 

I hope this helps!

Jose is surveying shoppers about their use of the new pharmacy in a grocery store. Which of the following questions in his survey is a statistical question?

Who is the manager of the pharmacy?
Where is the pharmacy located in the store?
How many pharmacists are there in the pharmacy?
How many hours do you spend at the pharmacy each month?

Answers

the answer would be- How many hours do you spend at the pharmacy each month?

This is the answer because it can be found by using data!

Answer:

How many hours do you spend at the pharmacy each month?

Step-by-step explanation:

A statistical question is a question that will have variable answers. It will not have a single answer. Like - How tall are the students in your class?

So, here the answer is -

How many hours do you spend at the pharmacy each month?

As here, the answer can be variable. Some days it can be 8 hours, some days it can be 12 hours.

Jamie has 7/10 of a pound of chicken to cook for dinner. If she is going to split the chicken beween 3 people,how much chicken will each person get?

Answers

7/30 chicken


Hope this helped :)

Answer:

7/30


Step-by-step explanation:


Write an algebraic expression for the sum of 3 coins and c coins.

Answers

An algebraic expression for this would be 3c=c. Or just 3c.

Martin had 7 pounds of grapes left, and he gave away 2/5 of them. Explain how to use compatible numbers to estimate the amount of grapes he gave away.

Answers

Answer:

Step-by-step explanation:

The amount of grapes that he gave away is 3.5 pounds.

Number of grapes with Martin = 7 pounds

Fraction given away = 2/5

In this case, to use compatible numbers, we have to find a fraction that's close to 2/5 which will be 1/2.

Then, we have to multiply 1/2 by 7 and this will be:

= 1/2 × 7

= 3.5

In conclusion, the amount of grapes that he gave away is 3.5 pounds.

Read related link on:

https://brainly.com/question/15848058

Ten times a number increased by 4 is no more than 25, how do u write it as an inequality?

Answers

number = x

ten times a number is equivalent to 10x

increased by 4 is equivalent to +4

no more than is equivalent to ≤

and 25 is just 25

Piece it all together and you get...

Whallah! 10x + 4 ≤ 25

Hope this helps!
and May the Force Be With You

-Jabba

solve for the variable k.



m/k=x

Answers

m / k = x.....multiply both sides by k. eliminating the k on the left side
m = xk <==

The equation m/k = x solved for k will be k = m / x.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The equation is given below.

m/k = x

Simplify the equation for k, then we have

x = m / k

kx = m

k = m / x

The equation m/k = x solved for k will be k = m / x.

More about the solution of the equation link is given below.

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What are the earnings for:
1.) 5 days at $69.00 a day = $_____
2.) 3.5 days at $27.75 a day = $____

Answers

1. $69.00 * 5 = $345.00

2. $27.75 * 3.5 = $97.13

In your class, there are 12 boys, 9 girls and 1 teacher. What is the ratio of girls to teachers?

Answers

the ratio is 9:1 for girls to teachers
9:1 there are 9 girls and one teacher

What is the absolute value of 7.4

Answers

The answer is -7.4 because you switch from positive to negative
The answer is 7.4 because when having any number the absolute value is that number as long as it is not a negative number. For example the absolute value of 4.4 is 4.4. same goes for your number. Also say the number is -7.4 then the absolute value is 7.4. Just dropping the negative part.

the time a cake must bake is between 25 minutes and 30 minutes, inclusive

Answers

The answer is A.

A. - 25 < x < 30.

Look at image for deh question.

Answers

A function is a relationship where each input (the x axis) has only one output (the y axis). This means that for every x value, there must only be one y value. As the graph shows only one y value for each x value (for example, if the graph were to be a straight vertical line it would not be a function), this is a function!

The sum of 19.3 and a number is 30.4. Which equation can be used to solve the problem?

Answers

30.4 - 19.3 =x because you see if 19.3 plus a number equals 30.4 then that must mean if u do the oppisite you get the same number so u subtract either way the solution would be 11.1

Answer:

YOUR CORRECT ANSWER'S (B.)

Step-by-step explanation:

I TOOK THE TEST.

Factor 3/4 out of 3/4z + 6

Answers

ANSWER

[tex] \frac{3}{4} z + 6 = \frac{3}{4} (z + 8 )[/tex]


EXPLANATION

We want to factor
[tex] \frac{3}{4} [/tex]
out of

[tex] \frac{3}{4} z + 6[/tex]

The first term is already having a factor of
[tex] \frac{3}{4} [/tex]
The constant term which is the second term is not having a factor of
[tex] \frac{3}{4} [/tex]
so we need to use a trick of multiplying and dividing by the same factor to obtain,



[tex] \frac{3}{4} z + 6 = \frac{3}{4} z + \frac{3}{4} \times \frac{6}{ \frac{3}{4} } [/tex]


We can now factor
[tex] \frac{3}{4} [/tex]
out of the right hand side to obtain,

[tex] \frac{3}{4} z + 6 = \frac{3}{4} (z + \frac{6}{ \frac{3}{4} } )[/tex]
Let us rewrite the right most fraction using the normal division symbol.

[tex] \frac{3}{4} z + 6 = \frac{3}{4} (z + 6 \div \frac{3}{4} )[/tex]




We simplify to obtain,

[tex] \frac{3}{4} z + 6 = \frac{3}{4} (z + 6 \times \frac{4}{3} )[/tex]



This further gives us,


[tex] \frac{3}{4} z + 6 = \frac{3}{4} (z + 2 \times 4 )[/tex]



[tex] \frac{3}{4} z + 6 = \frac{3}{4} (z + 8 )[/tex]


Can someone help me with this???

Answers

t=hp
t=20(50%)
t=20(.50)
t=10

Expression equivalent to 45.701

Answers

First, turn the decimal to a fraction then find an equivalent fraction from there

Solve the inequality and graph it...
9x -9 greater than or equal to 2(8x-15)

Answers

9x - 9 > = 2(8x - 15)
9x - 9 > = 16x - 30
9x - 16x > = -30 + 9
-7x > = - 21
x < = -21/-7
x < = 3

closed circle on 3, shaded to the left
closed circle on 3, shaded to the left cred to texascic

hope it helps

Use the Distributive Property to show that x+x=2x

Answers

x+x=2x
2x=2x the problem checks

What are the steps to solve this problem 0.000027 divided by 0.00000.9 in scientific notation explain

Answers

Please double-check the original problem.  0.00000.9 is bad form (because of your having two periods in it).

If you wish to divide 0.000027 by 0.000009, you could rewrite both numbers in scientific notation and then perform the division:

2.7E(-5)         27E(-6)
------------ =  ---------------- = 3
 9E(-6)             9E(-6)

A music store bought a CD set at a cost of ​$10. When the store sold the CD​ set, the percent markup was 30​%. Find the selling price.
PLEASE EXPLAIN THXS HOOMAN

Answers

The selling price is $13.

First, you multiply the percent by the original price. 
$10 *.30 = $3

Then, add the above answer to the original price to get the new selling price. 
$10 + $3 = $13


5x - 2y = 12 solve for y

Answers

1)minus 5x
5x-2y=12
-5x -5x
__________
-2y=-5x+12

2) divide by -2
Y= 5/2x -6 or y= 2½x -6
5(0) - 2y = 12
-2y = 12
-2y/ -2 = 12/-2
y= -6
or
-2y = -5x +12
y= 5/2x -6

Simplify 3x + (-12x) - 5x.

Answers

3x - 12x - 5x
= 3x - 17x
= - 14x

answer
-14x
3x + (-12x) - 5x
3x - 12x - 5x
3x- 17x
-14x

how is the sentence "9 is less than x is -1" written as an equation
A. 9 - x = -1
B. x - 9 = -1
C. x - 9 = 1
D. x - 1 = 9

Answers

Must not have more than ONE "=" sign in an equation like this one.

9 is less than x is -1

I will take the liberty of deleting the first "is" and then write out the expression:

9 less than x is -1, or     x-9 = -1

Add 9 to both sides to determine the value of x:  x = 8 (answer)

The sentence "9 is less than x is -1" written as an equation is A. 9 - x = -1

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now the given sentence is,

9 is less than x is -1

So, since less than means subtraction

Therefore 9 is less than x is written as,

9 - x

And this equal to -1

So we can write,

9 - x = -1

which the required equation of the given sentence.

The sentence "9 is less than x is -1" written as an equation is  9 - x = -1

Thus the correct answer is A. 9 - x = -1.

To learn more about equation:

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The reading speed of second grade students is approximately normal, with a mean of 88 words per minute (wpm) and a standard deviation of 12 wpm. a) What is the probability a randomly selected student will read more than 95 words per minute? b) What is the probability that a random sample of 12 second grade students results in a mean reading rate of more than 95 words per minute? c) What is the probability that a random sample of 24 second grade students results in a mean reading rate of more than 95 words per minute? d) What effect does increasing the sample size have on the probability? Provide an explanation for this result.

Answers

"The reading speed of second grade students is approximately normal, with a mean of 88 words per minute (wpm) and a standard deviation of 12 wpm. a) What is the probability a randomly selected student will read more than 95 words per minute?"
                                                                95-88               7
Calculate the z-score for 95 wpm:  z = --------------- = --------
                                                                     12               12

This fraction is approx. equal to 0.583.

Look in the body of a table of positive z scores for this 0.583.  The table will give you a decimal fraction that represents the area to the LEFT of z=0.583.
Subtract that result from 1.000 to obtain the probability that a student's typing skills will be greater than 95 wpm.  If you have a calculator with the normal cumulative density function (normalcdf) built in, find the area under the normal curve to the left of 0.583 and then subtract this result from 1.000.

My calculator result was 1.000-0.720 = 0.280.

Daniel is completing a home project. He needs 13 pieces of wood, each 1 1/2 feet long, to complete the project. How much wood does Daniel need to complete his home project?

8 2/3 ft

11 1/2 ft

14 1/2 ft

19 1/2 ft

Answers

19 1/2 ft is the correct anwser so its d

Answer:

Daniel will need [tex]19\frac{1}{2}[/tex] feet wood to complete his home project.

Step-by-step explanation:

We are told that Daniel needs 13 pieces of wood, each [tex]1\frac{1}{2}[/tex] feet long, to complete his home project.

To find total amount of wood needed we will multiply number of wood pieces by length of each wooden piece.

First of all we will convert our mixed fraction to improper fraction as: [tex]1 \frac{1}{2} =\frac{3}{2}[/tex]

Now let us multiply our values.

[tex]13*\frac{3}{2} =\frac{39}{2}[/tex]  

Now we will convert this improper fraction to mixed fraction to find our final answer.

[tex]\frac{39}{2}=19\frac{1}{2}[/tex]

Therefore, Daniel needs [tex]19\frac{1}{2}[/tex] feet wood to complete his home project.

The table shows the mean daily temperature in North Dakota during a week in February. Which statment about the data is true?

Answers

The lowest mean temperature was on Friday.

Answer:

The lowest mean temperature was on Friday.

Step-by-step explanation:

TTM Answer

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