3/4(3x+6)−1/4(5x−24)

Answers

Answer 1
x+21/2 is the answer i got.
Answer 2

Answer:

Simplified form of the expression will be x + [tex]\frac{21}{2}[/tex]

Step-by-step explanation:

The expression is [tex]\frac{3(3x+6)}{4}-\frac{(5x-24)}{4}[/tex]

Now we have to simplify this expression

[tex]\frac{3(3x+6)}{4}-\frac{(5x-24)}{4}[/tex] = [tex]\frac{(9x+18)}{4}-\frac{(5x-24)}{4}[/tex]

= [tex]\frac{9x+18-5x+24}{4}[/tex]

= [tex]\frac{4x+42}{4}[/tex]

= x + [tex]\frac{42}{4}[/tex]

= x + [tex]\frac{21}{2}[/tex]

Therefore, simplified form of the expression will be x + [tex]\frac{21}{2}[/tex]


Related Questions

Which expressions result in a product that has a best estimate of 80? Select all that apply.

A. 0.82 x 112
B. 42.3 x 21
C. 1.2 x 78
D. 0.19 x 37
E. 8 x 9.62

Answers

Answer:

Step-by-step explanation:

E and B are he answers

Answer:

Step-by-step explanation:

i took it and it was a, c and e

jill has $9.96 in nickles,pennies, and dollar bills. she has 12 more pennies than nickles and fove fewer dollar bills than nickles. how many of each does she have?

Answers

Jill has 14 nickels, 26 pennies, and 9 dollar bills.

To solve Jill's problem involving money in nickels, pennies, and dollar bills, we can use algebra. Let's define the variables as follows:

n for number of nickels

p for number of pennies

d for number of dollar bills

We know that:

p = n + 12

d = n - 5

A nickel is worth 5 pennies, so 5n represents the value of nickels in pennies.

Each dollar bill is worth 100 pennies.

In total, Jill has $9.96, which is the same as 996 pennies.

The total amount in pennies can be written as:

5n (nickels) + p (pennies) + 100d (dollar bills) = 996

Substitute the first two equations into the total:

5n + (n + 12) + 100(n - 5) = 996

Simplify and solve for n:

106n - 500 = 996

106n = 996 + 500

106n = 1496

n = 1496 / 106

n = 14

Using the values we just found for n, we can find p and d:

p = n + 12 = 14 + 12 = 26

d = n - 5 = 14 - 5 = 9

So, Jill has 14 nickels, 26 pennies, and 9 dollar bills.

Flying to miami whit a tailwind a plane averaged 376 mph. On the return trip the plane only averaged 312 mph while flying back into the same wind. Find the speed of the wind and speed of the plane in still air.


please show me the work

Answers

Let x =  the speed of the plane, mph
Let y =  the speed of the wind., mph

When flying with a tailwind, the effective speed of the plane is (x + y), therefore
x + y = 376         (1)

When flying back against the wind, the effective speed is (x-y), therefore
x - y = 312           (2)

Add (1) and (2).
2x = 376+312 = 688
x = 344 mph
y = 376 - x = 32

Answer:
Plane: 344 mph
Wind: 32 mph

Caroline drove 350 miles to the beach the trip took her 5 1/4 hours what was her average speed in miles per hour?

Answers

1.111 repeating miles an hour
Use the formula d = rt to figure this out, where d is distance, r is the rate of travel, and t is the total amount of time taken to travel the distance, d.

So the equation would be 350 = 5.15r (I converted 5 1/4 to a decimal to make it easier.) Now we simply need to solve for the variable r to get the final answer.

Once the equation is solved for r, the final answer is ABOUT 68 mph. So, Caroline drove at an average speed of 68 miles per hour.


write an equation, in slope-intercept form, to model each sitution. : the population of pine bluff is 6791 and is decreasing at the rate of 7 per year.

Answers

6791 of per year answer
y = -7x + 6791 

So since it's decreasing we know that it'll be a negative. It decreases by 7 pine bluffs per year. We can use that equation to model the situation. 
But let me show you an example to prove it. 

Lets say we want to know how many pine bluffs there would be in 3 years
y = -7(3) + 6791 
y = -21 + 6791 

The -21 is the total amount lost in those 3 years, but we have to subtract it from the original amount which was 6791 

y = -21 +6792 
y = 6770
In three years there would only be 6,770 pine bluffs.

1052 divided by 52
Write it in the simplest form

Answers

1052 / 52 = 20.2307692

This can be rounded to equal 20.2.

Hope this helps!
[tex] \dfrac{1052}{52} [/tex] 

For the denominator, recognize that [tex]50\times 2[/tex] 

[tex]Multiple = 2 [/tex]

Multiply both the numerator and denominator by the multiple 2 

[tex] \dfrac{1052*2}{50*2}[/tex] 

[tex] \frac{2104}{100} [/tex] 

[tex]= 21.04[/tex]

Suppose you randomly select a letter from BURGER AND STARBIRD. Imagine writing these letters on Ping-Pong balls – one letter per ball – then putting them all in a barrel and removing one. What is the probability of pulling out an R? What is the probability of pulling out a B? What is the probability of pulling out a letter that appears in the first half of the alphabet? What is the probability of pulling a vowel?

Answers

First, count the total number of letters in BURGER AND STARBIRD.
There are 17 letters.
Now count each type of letter you are interested in and divide by 17.

a) There are four R's, so the probability of pulling out an R is 4/17.

b) There are two B's, so the probability of pulling out an B is 2/17.

c) Letters A through M appear in the first half of the alphabet.
These letters are from the first half of the alphabet:
BGEADABID
There are 9 of them.
The probability of pulling out a letter that appears in the first half of the alphabet is 9/17.

d) These letters are vowels
UEAAI
There are five vowels.
The probability of pulling out a vowel is 5/17.

A cell phone company charges a monthly fee plus $0.25 for each text message. The monthly fee is $30.00 and you owe $59.50. Write and solve an equation to find how many text messages x you had.

Answers

the equation is at the top, the steps are in between, and the answer is at the bottom
hope this helps

Answer:

An equation is 0.25x+30=59.5.

You had 118 text messages.

Step-by-step explanation:

What is 35,506 divided by 438

Answers

81 is your answer!
Hope this helps :)
It's 81. It would be an ongoing decimal, but this is the answer in it's simplest form.

Which of the following is an equivalent form of the mixed number -12 3/4?
A) 45/5
B) -51/4
C) -45/4
D) -48/4

Answers

b is the most reasonable answer. -12 times 4 is -48 plus -3. That's a total of -51/4
B. 51/4 Since 12 multiplied by 4 is 48 and then you add the 3 from the 3/4 and then put the negative sign to make it negative. 

find 43 + 28. draw jumps and label number line to show your thinking

Answers

the answer is 71 sorry I couldn't draw numberline

Round each number to the nearest thousand 95,438 + 62,804

Answers

the answer is 158242 not rounded

95,438 to the nearest thousand is : 95,000.

62,804 to the nearest thousand is : 63,000.

What is 45−−√ in simplest radical form?

Answers

6.708203932499369 is the answer

Andrea gets 3 7/8 yards of purple ribbon, 3.7 yards of pink ribbon and 3 4/5 yards of blue ribbon. List the numbers in order from least to greatest.

Answers

3.7
3 4/5 = 3.75
3 7/8 = 3.875

3.7 yards of pink, 3 4/5 yards of blue, 3 7/8 yards of purple is your answer


you can change all of them to fractions too, but i decided to change them all to decimals

hope this helps

help pleaseeeeeeeeeee

Answers

4/10 and 3/10 are the answers

Solve for a.

6(a+3)=18+6a

no solution

all real numbers

−3

−1

Answers

all real numbers is the answer since the equations are identical. The only differnece is that one is factored and the other is not. If you were to graph both sides of the equation you only see one line. Both are on each other suggesting they are equal at every value for x.

Answer:

All real solutions is your answer.

Step-by-step explanation:

I took the K12 quiz

which function is increasing? HELP

Answers

A because it is 5/1 so you go up 5 and over 1

Hiya :)

The answer is

f(x)=5^x

Hope this helped!!!!

Have a great day!!!!

:)))

Add 13 5/12 +(-4 11/12) . Reduce, if possible

Answers

   Arranging these addends vertically may make the work easier:

    13 5/12
   -4 11/12)
----------------

Since 11/12 is larger than 5/12, we must borrow from 13:

12 + 12/12 + 5/12
 -4        -11/12
--------------------------   
8         17/12-11/12        =    8 6/12   = 8 1/2   = 8.5 (answers)

Answer:

the answer is 8 1/2 or 8.5 :)

Step-by-step explanation:

Use linear approximation to estimate 1/4.002

Answers

The estimation for 1/4.002 is approximately 0.2499.

Linear approximation involves using the equation of a line to estimate a value close to a given point. In this case, to estimate 1/4.002, we can use the fact that 1/4 is approximately 0.25 and find the equation of the line passing through 1/4 and 1/4.002.

To find the linear approximation, we first determine the slope between the two points, which is the derivative of the function at the known point. Then, we use the point-slope form of a line equation to find the approximation. Rounding to four decimal places, the estimate for 1/4.002 is approximately 0.2499

−1.26×n=−10.08
n=?
lololololololololololol

Answers

n= 8. The 8 must be positive due to the fact if it were negative your answer would be 10.08 and not -10.08. You find your answer by diving -10.08 by -1.26. A negative divided by a negative is a positive.

Which digit in 98.765 is in the thousandths place

Answers

The thousandths place is the third digit after the decimal point.
5 is in the thousandths place since it is the third digit after the decimal.

Have an awesome day! :)
5 would be in the thousandths place because 3 spaces away from the decimal point would be the thousandths place

Which expression is equivalent to 5.4−1.8 ? A. −1.8+5.4 B.−1.8−5.4 C. 1.8 + 5.4 D.1.8−5.4

Answers

The correct answer is A: -1.8 + 5.4. Adding a negative is the same as subtracting. 
The answer is A. -1.8 + 5.4

if 2=27,what is the measure of the supplement of gbc

Answers

<GBC and <2 are vertical angles, so they are congruent.
m<GBC = m<2 = 27
Supplementary angles have measures that add to 180 deg.
The supplement of <GBC measures 180 - 27 = 153 deg.

Find the constant proportionality for y = 2/3x

Answers

Hi Jessicaprado539!

The constant proportionality of this equation would be the value that relates the two amounts. In this case, that would be 2/3

I need help with a math problem please show me how to do it step by step here is the problem
40 = -x^2-14x

Answers

Hey there!


Let me help you will quick...

So, we have:

[tex]40=-x^2 -14x [/tex]
Start by subtracting [tex]-x^2 -14x [/tex] from both sides
[tex]40-(-x^2 -14x)=-x^2 -14x-(x^2 -14x) x^2 +14x +40 = 0 [/tex]
Now we need to factorize [tex](x+4)(x+10)=0 Set factors equal to 0 x+4 = 0 or x+10 =0 x = 0 - 4 or x = 0 - 10 x = -4 or x=-10[/tex]

Best of luck with your studies!

Robert's recipe has 5 onions and 9 tomatoes for the pizza. Jeff's recipe has 8 onions and 10 tomatoes for the pizza. Whose recipe has a lower ratio of onions to tomatoes

Answers

Robert- 5/9
Jeff-8/10
5 x 10
Robert-50/90
8 x 9
Jeff-72/90
Jeff has a lower ratio of onions to tomatoes

Please check over this!! 20 points! easy fractions
8 SIMPLE QUESTIONS
______________________________________
QUESTION 1
All of the following fractions are proper fractions, except

A-11/12
B-7/5
C-1/6
or D- 8/15
___________________________________________________________________
QUESTION 2
How could you model the fraction 3/8 with a circle?
A-Divide the circle into eight equal pieces, and shade three of them.
B-Draw three circles, and shade eight pieces.
C-Divide the circle into three equal pieces, and shade eight of them.
D-Divide the circle into eleven pieces, and shade one of them.
_________________________________________________________________
QUESTION 3
Kara has four boy cousins and three girl cousins. Write a fraction to represent the part of her cousins that are girls. Use / for the fraction line.

__________________________________________________________________
QUESTION 4
Josh has eight pairs of white socks, two pairs of black socks, and one pair of blue socks. Write a fraction to represent the part of his socks that are white. Use / for the fraction line.
__________________________________________________________________

Answers

1 is correct
2 is correct
3 is correct
4 is correct
5 is correct
6 is correct
7 is correct
8 is correct

Hoped I helped!








1:B
2:A
3: 3/7 
4: 2/11 for black, 1/11 blue, and 8/11 is the white

When filing jointly, Melvin and Sylvia have a standard deduction of $11,400, they can claim one exemption for each of them for $3650 each, and they don't have any additional adjustments to income. What is their taxable income?

Answers

Final answer:

To calculate Melvin and Sylvia's taxable income when filing jointly, subtract their standard deduction and exemptions from their adjusted gross income.

Explanation:

To calculate Melvin and Sylvia's taxable income when filing jointly, we need to subtract their standard deduction and exemptions from their adjusted gross income.

Given that their standard deduction is $11,400 and they can claim one exemption each valued at $3,650, the calculation is as follows:

Taxable income = Adjusted gross income - (Standard deduction + Exemption)

Let's say their adjusted gross income is $30,000. Plugging in the values, we get:

Taxable income = $30,000 - ($11,400 + $3,650 + $3,650)

Taxable income = $30,000 - $18,700 = $11,300

Therefore, their taxable income is $11,300.

Two quantities, x and y, are directly proportional. If you take a third of x, what happens to y?

A: It is tripled.
B: It is cubed.
C: It depends on the starting value of x.
D: It is multiplied by 1/3.

Answers

D. if something is directly proportional then if something happens to X the exact same thing needs to happen to Y

One-third of x will also give one-third of y. The correct option is D.

What is an expression?

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that two quantities, x and y, are directly proportional. If x is directly proportional to y it means that x varies directly with y.

x ∝ y

If multiply the value of x by ( 1 / 3 ) the value of y will also be multiplied by ( 1 / 3 ).

Therefore, one-third of x will also give one-third of y. The correct option is D.

To know more about an expression follow

https://brainly.com/question/24868934

#SPJ6

Mike is making a nut mixture for an upcoming camping trip. He makes the mixture by combining of a cup of cashews and of a cup of almonds. If he wants to add cashews and almonds in the same ratio to make 28 cups of the mixture, how many cups of cashews and almonds will he need?

Answers

28 ÷ 2 = 14. you need 14 cups of each nut to get a total of 28 cups combined
you will need 14 cups
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