simplify the expression 3(6/5x+4y+6)-2(9/5x+8y+3)​

Answers

Answer 1

Answer:

-20(y-3)/3

Step-by-step explanation:

Answer 2

The expression can be written simplified as 6x - 4y + 12.

What is the algebraic expression?

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

The expression is given as:

3(6/5x+4y+6)-2(9/5x+8y+3)​

To simplify the expression, we need to use the rules of algebra to combine like terms and perform the necessary operations in the correct order.

First, we can distribute the 3 and the -2 to the terms inside the parentheses:

3(6/5x+4y+6) - 2(9/5x+8y+3)

= 18/5x + 12y + 18 - 18/5x - 16y - 6

Next, we can combine like terms:

= 18/5x - 18/5x + 12y - 16y + 18 - 6

= 6/5x - 4y + 12

Finally, we can simplify the fraction by dividing the numerator and the denominator by their greatest common divisor, which is 1:

= (6/1) / (5/1)x - 4y + 12

= 6x - 4y + 12

Therefore, the simplified expression is 6x - 4y + 12.

Learn more about the algebraic expression here :

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Related Questions

Last Wednesday, two friends met up after school to read the book they were both assigned in Literature class. Kylie can read 1 page per minute, and she had already read 81 pages. Adam, who has a reading speed of 2 pages per minute, had read 37 pages. Eventually they had read the same number of pages. How long did that take? How many pages had each of them read?

Answers

Answer:

45 minutes

Step-by-step explanation:

They both have 127 pages after 45 minutes.

a shopkeeper marks the price of a television 30% above the cost price and allow 20% discount . the purchase price of television is Rs 12000. if a customer pays Rs 14102.40 for the TV including vat ,find the vat percent. {Ans 13%}​

Answers

Answer:

Step-by-step explanation:

cost = 12,000

list price = 1.30×12,000 = 15,600

discounted price = 0.80×15,600 = 12,480

purchase price = (1+VAT)×12,480 = 14,102.40

1+VAT = 14,102.40/12,480 = 1.13

VAT = 0.13 = 13%

The following list of numbers follows a geometric progression 5.-10. 20.-40.... What are the next three terms in the pattern? A. 60.-80, 100 B. -80.160.-320 C. 80.-160,320 D. -60. 80. -100​

Answers

Answer:

C

Step-by-step explanation:

5.-10.20.-40.80.-160.320

This pattern shows each number being multiplied by -2

Having trouble with my functions homework plz can someone help

Answers

Answer:

[tex]g(x) = \frac{ - 19}{3} x \: + 2[/tex]

I hope that is right

PLEASE HELP ME!!!!!!

Answers

Answer:

[tex] \huge \red{ c_3 = - 1}[/tex]

Step-by-step explanation:

[tex]c_1 = 1 \\ \\

c_n= - 2c_{n-1}+5 \\ \\ c_2 = - 2c_{2-1}+5 \\ \\ c_2 = - 2c_{1}+5 \\ \\ c_2 = - 2(1)+5 \\ \\ c_2 = - 2+5 \\ \\ \huge \purple{c_2 =3} \\ \\ c_3 = - 2c_{3-1}+5 \\ \\ c_3 = - 2c_{2}+5 \\ \\ c_3 = - 2(3)+5 \\ \\ c_3= - 6+5 \\ \\ \huge \red{ c_3 = - 1}[/tex]

Farmer Ben has only ducks and cows 24 in total. He can’t remember how many of each he
has. He knows that the animals have a total of 66 legs. Assuming that each animal has all legs intact
and no extra limbs, how many of each animal does farmer Ben have? Draw a clear diagram to answer
this question.


Help ME and plzz show your work thank you love

Answers

Ok so you have d ducks and c cows. We know d+c=24. Also, since ducks have 2 legs and cows have 4 legs, 2d+4c=66.

We now have a systems of equations to solve for a variable using elimination

2(d+c=24)
1(2d+4c=66)

2d+2c=24
2d+4c=66

-2c=-18
c=9

Now that we have the number of cows, we can easily find the number of ducks by plugging in 9 to the equation c+d=24

9+d=24
d=15

There are 9 cows and 15 ducks.

CAN SOMEONE PLEASE HELP ME LABEL THE GRAPH SO I CAN PLOT THE POINTS!!

Answers

Answer:

Era is x and number of wins is y

Edit: I would go up by two's on the y axis and .5 on the x axis

what is the value of the digit 2 in the number 2348

Answers

Answer:

Two thousands or 2000

Step-by-step explanation:

2 is in the 4th column from the right which is the thousands

Answer:

thousands place

Step-by-step explanation:


A rectangle has an area of 24 square feet and a length of 6 feet. Calculate the perimeter of the rectangle.

Answers

l = 6
24/6 = 4
w = 4
2(4+6) = 20
the perimeter is 20 feet

Find the slope of the following graphs

Answers

Answer:

Slope = -1

Step-by-step explanation:

The equation we use for slope is as follows:

m = (y2 - y1) / (x2 - x1)

The graph gives us four points, but we only need two to solve our equation: (-2,5) and (2,1)

Now, we need to define which variable goes with which point:

Y2 = 1

X2 = 2

Y1 = 5

X1 = -2

If we plug these into our equation we get the following:

m = (1 - 5) / (2 - -2)

m = (-4) / (-4)

m = -1

Our slope for this graph = -1

I hope this helps!

-TheBusinessMan

Find the missing angle measurments geometry

Answers

Answer:

?????????

Step-by-step explanation:

wheres the equation

There are 80 students in the sixth grade at mountain middle school. 64 of these students play sports. What percent of the students play sports?

Answers

Answer:

80%

Step-by-step explanation:

80÷64= 0.8

0.8 = 80%

You just need to divide the number of students that play sports by the total number of students and you'll get your answer

Answer:
80%
Explanation:
80÷64= 0.8
0.8 = 80% = 80/100
we can see that our fraction is 80/100, which means that 64/80 as a percentage is 80%.

Solve one of the two problems for x. The answers for both are the same. You are more than welcome to do both to check your answer!
Make sure you round to the nearest tenth if necessary.

Answers

Answer:

x = 49

Step-by-step explanation:

Let's solve for x in the first triangle by applying the leg rule.

Leg rule is given as: hypotenuse/leg = leg/part

Hypotenuse = x

Leg = 28

Part = 16

Plug in the values into the equation

x/28 = 28/16

Cross multiply

x*16 = 28*28

16x = 784

x = 784/16

x = 49

✔️Let's check our answer to see if we would get the same value of x for the other triangle. Apply the same leg rule.

Hypotenuse = x

Leg = 21

Part = 9

Thus:

x/21 = 21/9

Cross multiply

x*9 = 21*21

9x = 441

x = 441/9

x = 49

✔️We have the same value. Therefore, x = 49 is the correct answer.

Why was the invention of the mechanical reaper important?
A. The reaper separated cotton fibers from cotton seed much faster than the manual method used earlier.
B. The reaper made it possible to communicate very quickly across a wire.
C. The reaper replaced the old method of sewing clothes by hand.
D. The reaper could cut grain much faster than the older method of harvesting by hand with a scythe.

Answers

Answer:

A.) The reaper separated cotton fibers from cotton seed much faster than the manual

method used earlier.

B.) The reaper made it possible to communicate very quickly across a wire.

C.) The reaper replaced the old method of sewing clothes by hand.

D.) The reaper could cut grain much faster than the older method of harvesting by hand

with a scythe.Step-by-step explanation:

which ones belong to SAS, SSS, HL, AAS, ASA or not congruent?

Answers

Answer:

1.ASA

2.AAS

3.?

4.ASA

5.SSS

6.SSS

7.ASA

A $5,600 deposit for 45 years at a simple
interest rate of 3%

Answers

Answer:

$13,160

Step-by-step explanation:

5,600*.03=168

168*45= 7,560

5,600+7,560= 13,160

The amount of money in the account of Tom after 3 years with simple interest of 9.5 % is $6135.

What is simple interest?

Calculating the amount of interest that will be charged on a loan can be done quickly and easily using the simple interest formula. To calculate the simple interest, we need to multiply the principle amount, the number of days between payments (in years), and the interest rate (in decimals).

The formula to calculate Simple Interest is:

SI  = P*I*T

Here, P = Principal amount,

I = interest rate (in  decimals),

T = time duration (in years).

putting the values from question:

SI = 5600 * 0.095*3

Simple Interest = 535

The money in the account will be the sum of principal amount and the simple interest.

Final amount = Principal amount + Simple Interest.

A = 5600 + 535

A = 6135

Therefore, the money in the account after 3 years is $6135 .

To know more about simple interest, go to link

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complete question;

Tom deposits $5,600 into a savings account.  The simple interest rate for the account is 9.5%.  If Tom does not withdraw any money from the account, how much money will be in the account after 3 years?

If (4 + 2i) – (a + 5i) = 9 – 3i, find the value of a.

Answers

a = -5
(4-a)+(2i-5i)=9-3i
4-a-3i = 9 -3i
4-a = 9
a = -5

I'd really like the help with these problems please.
Thanks!

Answers

the picture is blank ?

Please help asap! (the question is on the picture)

Answers

Answer:

the answer is 3

explanation:

3x+6/9= 3*7+6/9= 27/9 =3

A community center rents their hall for special events. They charge a fixed fee of $200 plus an hourly fee of $15. Lin has $300 to spend on renting the hall for a fundraiser. How many hours can Lin rent the hall for? 1) Write an equation. 2) List what your variable represents. 3) Solve the equation. 4) Answer the question

Answers

Answer:

6 no 3 yes

Step-by-step explanation:

for 6 hours no because she already used 200 and now she only has 100 to spend

for 3 hours yes because that fee would be UNDER her budget

7x − 8y = 2 a function

Answers

Answer:

x = 2/7 or 0.285714

Step-by-step explanation:

Your welcome :)

You deposit $1,500 in an account earning 2.75% simple interest. How long will it take for the
balance of the account to be $1,995.

Answers

Answer:

12 years if interest is paid yearly

12 months if interest is paid monthly

Step-by-step explanation:

2.75% of $1500 is $41.25 interest per period

$1995-$1500 = $495 total interest

$495 ÷ $41.25 = 12 periods

Therefore it takes 12 interest periods to reach $1995, so the answer is 12 months or 12 years depending on how often interest is paid.

What would it mean to find a solution to an equation that is x squared = 100

Answers

Answer:

There are 2 possible solutions

Step-by-step explanation:

Given

x² = 100 ( take the square root of both sides )

x = ± [tex]\sqrt{100}[/tex] = ± 10

Since 10 × 10 = 100 and - 10 × - 10 = 100

solutions are x = 10 , x = - 10

what is sociallizatioj​

Answers

Answer:

Socialisation is the process through which individuals learn the norms and values of society, leading to social cohesion and a functional society

hope it helps you

please mark me as brainlist

Step-by-step explanation:

mixing up and following social norms and values as a member of the society is called socialization.

A rectangle is 5.1 cm wide and each diagonal is 9.3 cm long. What is the measure of the angle between a diagonal and the shorter side of the rectangle to the nearest tenth of a degree?

Answers

Answer:

56.7°

Step-by-step explanation:

A rectangle is 5.1 cm wide and each diagonal is 9.3 cm long. What is the measure of the angle between a diagonal and the shorter side of the rectangle to the nearest tenth of a degree?

We solve this question using the Trigonometric function of Sine

From the question, we are told that:

A rectangle is 5.1 cm wide

and each diagonal is 9.3 cm long.

Since we have a diagonal, this means the shape is transformed to a triangle.

The width of the rectangle = Adjacent side of a triangle = 5.1cm

The diagonal of the rectangle = Hypotenuse = 9.3cm

Hence,

cosθ = Adjacent/Hypotenuse

cosθ = 5.1/9.3

cosθ = 0.5483870968

θ = arccos(0.5483870968)

θ = 56.743568714°

Approximately = 56.7°

The measure of the angle is 56.7°

What is the HCF of 32 and 21

Answers

it’s 1 as find the prime factorization of both numbers and multiply all common prime factors they share

Answer:

i think is 1

Step-by-step explanation:

Find the unit rate for 405 miles in 8 hours. Rounded to the nearest tenth. Thx

Answers

Answer:  

= 50.6 miles per hour

Showing Work:

This is a fraction equal to

405 miles ÷ 8 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 8

405 miles ÷ 8

8 hours ÷ 8

=  

50.625 miles

1 hour

=  

50.625 miles

hour

= 50.625 miles per hour

rounding to the nearest tenth:

50.6 miles per hour

The owner of an automobile insures it against damage by purchasing an insurance policy with a deductible of 250. In the event that the automobile is damaged, repair costs can be modeled by a uniform random variable on the interval (0, 1500). Determine the standard deviation of the insurance payment in the event that the automobile is damaged.

Answers

Answer:

Step-by-step explanation:

From the given information:

The uniform distribution can be represented by:

[tex]f_x(x) = \dfrac{1}{1500} ; o \le x \le \ 1500[/tex]

The function of the insurance is:

[tex]I(x) = \left \{ {{0, \ \ \ x \le 250} \atop {x -20 , \ \ \ \ \ 250 \le x \le 1500}} \right.[/tex]

Hence, the variance of the insurance can also be an account forum.

[tex]Var [I_{(x}) = E [I^2(x)] - [E(I(x)]^2[/tex]

here;

[tex]E[I(x)] = \int f_x(x) I (x) \ sx[/tex]

[tex]E[I(x)] = \dfrac{1}{1500} \int ^{1500}_{250{ (x- 250) \ dx[/tex]

[tex]= \dfrac{1}{1500 } \dfrac{(x - 250)^2}{2} \Big |^{1500}_{250}[/tex]

[tex]\dfrac{5}{12} \times 1250[/tex]

Similarly;

[tex]E[I^2(x)] = \int f_x(x) I^2 (x) \ sx[/tex]

[tex]E[I(x)] = \dfrac{1}{1500} \int ^{1500}_{250{ (x- 250)^2 \ dx[/tex]

[tex]= \dfrac{1}{1500 } \dfrac{(x - 250)^3}{3} \Big |^{1500}_{250}[/tex]

[tex]\dfrac{5}{18} \times 1250^2[/tex]

[tex]Var {I(x)} = 1250^2 \Big [ \dfrac{5}{18} - \dfrac{25}{144}][/tex]

Finally, the standard deviation  of the insurance payment is:

[tex]= \sqrt{Var(I(x))}[/tex]

[tex]= 1250 \sqrt{\dfrac{5}{48}}[/tex]

≅ 404

What is the solution to the system of equations?

Answers

Answer:

Step-by-step explanation:

There is an error in the question. The table does not show two linear functions.  y₁ is a linear function, but   y₂ is not a straight line. It makes a bend at (-6,1).

Line 1 goes through (-12,-3) and (0,5).

slope  = (5-(-3))/(0-(-12)) = 2/3

y-intercept = 5

y₁ = (2/3)x + 5

Line 2 goes through (-12,-2) and (-6,1).

slope = (1-(-2))/(-6-(-12)) = 1/2

y₂ = (1/2)x + 4

(2/3)x + 5 = (1/2)x + 4

x = -6

y = (2/3)x + 5 = 1

Solution: (-6,1)

Plz help me. But like for real plz

Answers

Answer:

They will pay the same amount!

They will pay the same amount I’ve taken it before and got it right
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