Answer:
-20(y-3)/3
Step-by-step explanation:
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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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?
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%}
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
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
Answer:
[tex]g(x) = \frac{ - 19}{3} x \: + 2[/tex]
I hope that is right
PLEASE HELP ME!!!!!!
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
CAN SOMEONE PLEASE HELP ME LABEL THE GRAPH SO I CAN PLOT THE POINTS!!
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
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.
Find the slope of the following graphs
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
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?
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
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.
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.
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?
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%
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 .
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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.
I'd really like the help with these problems please.
Thanks!
Please help asap! (the question is on the picture)
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
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
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.
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
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
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?
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
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
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.
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?
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
Answer:
They will pay the same amount!