After solving the equation, the value obtained for x will be equal to -17/5.
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given statement in the question,
The equation for the given statement will be,
(4x + 1)/3 = (x - 5)/2
8x + 2 = 3x - 15
8x - 3x = -15 - 2
Solve the equation for x.
5x = -17
x = -17/5
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Line segment JK in the coordinate plane has endpoints with coordinates \left(-4,11\right)(−4,11) and \left(8,-1\right)(8,−1).Supposed J, P, and K are collinear on segment JK, and JP:JK=\frac{1}{3}JP:JK=1/3 . What are the coordinates of P?
Answer:
(-1, 8)Step-by-step explanation:
Given P to be the point that divides the coordinates J and K in the ratio 1:3
then the coordinate of point P will be xpressed as;
P(X, Y) = [tex](\frac{bx_1+ax_2}{b+a}, \frac{by_1+ay_2}{b+a})[/tex]
Given J = (-4, 11) and K = (8, -1)
[tex]x_1 = -4, y_1 = 11, x_2 = 8 \ and \ y_2 = -1, a = 1, b = 3[/tex]
substituting the given parameters into the line division formula
[tex]P(X, Y) = (\frac{3(-4)+1(8)}{3+1}, \frac{3(11)+(1)(-1)}{3+1})\\\\P(X, Y) = (\frac{-12+8}{4}, \frac{33-1}{4})\\\\P(X, Y) = (\frac{-4}{4}, \frac{32}{4})\\\\P(X, Y) = (-1, 8)[/tex]
Hence the coordinates of P is (-1, 8)
What is objective ??
Answer:
In math :The objective function is a mathematical term that describes how different variables contribute to a certain value that is being sought to be optimized.
In science: Scientific objectivity is a characteristic of scientific claims, methods and results. It expresses the idea that the claims, methods and results of science are not, or should not be influenced by particular perspectives, value commitments, community bias or personal interests, to name a few relevant factors.
In ela: Being the object or goal of one's efforts or actions. not influenced by personal feelings, interpretations, or prejudice; based on facts; unbiased: an objective opinion. ... being the object of perception or thought; belonging to the object of thought rather than to the thinking subject (opposed to subjective).
Step-by-step explanation:
I need help to make it positive
Answer:
-8c^4/m^3
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
a^-b = 1/a^b
__
[tex](-2)^3\cdot(c^{-2})^{-2}\cdot m^{-6}=-8\cdot c^{(-2)(-2)}\cdot m^{-3}\\\\=\boxed{\dfrac{-8c^4}{m^3}}[/tex]
HELLPP WILL MARK YOU BRAINLIEST
Answer:
≈ 7.28
Step-by-step explanation:
Calculate the length using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = A(- 5, - 4) and (x₂, y₂ ) = B(- 3, 3)
AB = [tex]\sqrt{(-3+5)^2+(3+4)^2}[/tex]
= [tex]\sqrt{2^2+7^2}[/tex]
= [tex]\sqrt{4+49}[/tex]
= [tex]\sqrt{53}[/tex] ≈ 7.28 ( to the nearest hundredth )
ana wants to paint her dogs doghouse. she has 4 colors: Green,Maroon,blue and wheat. one color will cover the walls and another color will be us for the trim.(for example, green walls with wheat trim=GW). which of these answers show all the possible color conbination
Answer:
Step-by-step explanation:
Let us take this one by one. One color can pair with three colors.
Green = Maroon, Blue, Wheat = GM, GB, GW
Maroon = Green, Blue, Wheat = MG, MB, MW
Blue = Green, Maroon, Wheat = BG, BM, BW
Wheat = Green, Maroon, Blue = WG, WM, WB
So the combinations are:
GM, GB, GW, MG, MB, MW, BG, BM, BW, WG, WM, WB
Which is letter B.
Answer:
A.
Step-by-step explanation:
Find 7x+y when x=4 and y=5. *
Answer:
7x+y, when x+4 and y+5
7(4) + 5=
28+5=
33
Step-by-step explanation:
Hope this helps. :)
Please help me. I have been struggling with prob and stats.
Answer:
Step-by-step explanation:10
if it is 9:37 what time would it be a hour and a half later
Answer:
it would be 11:07
Step-by-step explanation:
what grade are u in???
A boy rolls down a hill on a skateboard. At time = 4 seconds, that boy has rolled 6 meters from the top of the hill. At time = 7 seconds, the boy has rolled to a distance of 30 meters. What is his average speed?
Answer:
His average speed is 4.75 m/s
Step-by-step explanation:
Here, we are interested in calculating the average speed of the boy.
At time t = 4 seconds, total distance traveled = 6 meters
The average speed here is distance/time = 6/4 = 1.5 m/s
Now at time 30 7 seconds , he has rolled 30 meters
What this actually means is that for the next 3 seconds after the initial 4 seconds, he rolled a total distance of 30-6 = 24 meters. Hence, he rolled 24 meters in the next three seconds
So mathematically, his average speed for the second part of the rolling is 24/3 = 8 meters per second
Conclusively therefore , his average speed will be (1.5 + 8)/2 = 9.5/2 = 4.75 meters per second
How many times greater is the value of of 2 in 2341 than the value 2 in 1234?
Question: 8n - 3 - 5n > 9
Answer: Inequality Form:
n > 4
Interval Notation:
4, (infinite)
7 less than three times Heather's
age is 14. Write an equation and
solve to find Heather's age.
what equation has x=5 as a soulution
Answer:
7x-15=20
Step-by-step explanation:
7x-15=20
7x=35
x=5
While on vacation in Canada, you notice that temperatures are reported in degrees Celsius. You know there is a linear
relationship between Fahrenheit and Celsius, but you forget the formula. you remember the freezing point of water is 0°C
or 32°F and its boiling point is 100°C or 212°F
a Write an equation that represents degrees Fahrenheit in terms of degrees Celsius. Let x represent the temperature in degrees Celsius and
let y represent the temperature in degrees Fahrenheit
Since , the relation is linear .
Let equation is y = mx + c .
Putting , x = 0 and y = 32 .
32 = c .......( 1 )
Also , putting x = 100 and y = 212 .
We get :
212 = 100m + c .......( 2 )
Comparing equation 1 and 2 .
100m = 212 - 32
x = 1.8
Therefore , y = 1.8x + 32 .
Hence , this is the required solution .
[tex]y=\dfrac{9}{5}x+32[/tex] represents degrees Fahrenheit in terms of degrees Celsius. where x represent the temperature in degrees Celsius and y represents the temperature in degrees Fahrenheit.
Temperature can be expressed in different units like degrees Celsius and degrees Fahrenheit.
Let us consider two variables x and y as following:
x represent the temperature in degrees Celsius
y represent the temperature in degrees Fahrenheit
Equation depicting relation between variable x and y is
[tex]y-y_1=m(x-x_1)[/tex]...........................1
where, [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Using the given conditions:
[tex](x_1,y_1)=(0,32) \text{\ and\ }(x_2,y_2)=(100,212)[/tex]
Substituting to calculate the value of m,
[tex]m=\dfrac{212-32}{100-0}\\\\m=\dfrac{180}{100}\\\\m=9/5[/tex]
From equation 1
[tex]y-32=\dfrac{9}{5}(x-0)\\y-32=\dfrac{9}{5}x\\y=\dfrac{9}{5}x+32[/tex]
Thus, an equation that representing degrees Fahrenheit in terms of degrees Celsius is [tex]y=\dfrac{9}{5}x+32[/tex].
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what is the mathematical expression for the problem withdrawing $10 every week from an outstanding $400?
Answer:
40
Step-by-step explanation:
because if you do 400 divided by 10, it gives you 40
find the value of n and w if w is between x and y.
wx = 6n -10, xy = 17, and wy = 3n
answer:
n=3
Step-by-step explanation:
6n-10+3n=17
6n+3n=27
9n=27
n=3
4 times as much as 3 is
Answer:
12
Step-by-step explanation:
4x3=12
Player 1 and player 2 are running laps around a field. Player 1 runs 1 lap every 6 minutes, while player 2 runs 1 lap every 10 minutes. If player 1 and player 2 begin their run at the same time and location on the field, in how many minutes will they meet to begin their next lap together?
They will meet to begin the next lap together
Answer:
30 minutes
Step-by-step explanation:
Think of it as a fractions. Player 1: 6 min./1 lap, Player 2: 10 min./1 lap. So in order to do this you have to find the greatest common factor. The GCF is 30. [learned this 2 yrs ago, im not entirely sure]
What is the answer??
Answer:
x = -2±i
Step-by-step explanation:
-2(4x + -4) - 3x - 2 =34
Answer:
x = -28/11
Step-by-step explanation:
-2(4x + -4) - 3x - 2 =34
Distribute
-8x+8 -3x-2 =34
Combine like terms
-11x +6 = 34
Subtract 6 from each side
-11x+6-6 = 34-6
-11x = 28
Divide each side by -11
-11x/-11 = 28/-11
x = -28/11
Answer:
x= -28/11
Step-by-step explanation:
Multiply -2 by 4x +4
That equals -8x+8
So the equation is now
-8x+8+3x -2 = 34
Now combine like terms
11x+6=34
Subtract 6 from both sides
11x=28
divide by 11 on both sides
x = -28/11
Study the red pre-image and the associated blue dilation image. The center of dilation is (2, 2). What is the scale factor of the dilation?
A.) 12
B.) 8
C.) 3
D.) 1/3
Answer: The Answer is C
I just took the test
Step-by-step explanation:
The scale factor of the dilation is 3. The correct option is C.
What is the scale factor?The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making. Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.
From the given image:-
The initial size in the image is calculated as 11 - 2 = 9
The dilated size in the image is calculated as 5 - 2 = 3
The scale factor will be given as:-
Scale factor = ratio of the initial size to the dilated size
Scale factor = Initial size / Dilated size
Scale factor = 9 / 3 = 3
Therefore, the scale factor of the dilation is 3. The correct option is C.
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HELP PLS I NEED THIS >3
Answer:
56
Step-by-step explanation:
Here, n = 8, r = 3
[tex] \huge \orange{ \because \: ^nC_r = \frac{n!}{r!(n - r)!} } \\ \\ \huge \therefore \: ^8C_3 = \frac{8!}{3!(8 - 3)!} \\ \\ \huge \therefore \: ^8C_3 = \frac{8 \times 7 \times 6 \times 5!}{3 \times 2 \times 1 \times 5!} \\ \\ \huge \red{ \boxed{\therefore \:^8C_3 = \purple{56}}}[/tex]
Ben wants to try a new honey-glazed salmon recipe. He starts with 1 2/3 cups of honey. He uses 1/5 of it to make the glaze. How much honey does Ben have left?
Answer:
1 1/3
Step-by-step explanation:
Firstly, 1 2/3 is converted into an improper fraction being 5/3. Next, 1/5 of 5/3 is one portion of 5 equal portions. You can split 5/3 into five equal portions of 1/3. Therefore, 1/3 cup of honey was used to make the honey glaze. Lastly, that is subtracted from the 1 2/3 to end up with 1 1/3.
The required amount of honey left is given as 1 1/3.
Given that,
Ben wants to try a new honey-glazed salmon recipe. He starts with 1 2/3 cups of honey. He uses 1/5 of it to make the glaze.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Amount of honey = 1 2/3 = 5 / 3
Amount of honey used is 1/5 times = 1/5 [5 / 3] = 1 / 3
Amount of honey left = 5/3 - 1/3 = 4/3 or 1 1/3
Thus, the required amount of honey left is given as 1 1/3.
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4 2/5 divided by 8.5
Answer:
0.51764705
Step-by-step explanation:
Divide8/9 and 8. Express your answer in simplest form
Answer: The answer is 0.11 in decimal form.
Step-by-step explanation:
write an equation of the line that passes through each pair of points (0,1),(5,3)
which of the following are based on the diagram below? (select all answers that are true)
please help me out here!
Five boxes of crackers cost $9 at this rate how much do 20 boxes cost
5 1.80, the crackers cost $1.80 per box: 20 3 1.80 5 36. So, 20 boxes cost $36.00.
Answer:
$36
Step-by-step explanation:
To find how much one box costs you divide 9÷5 = 1.8
Then you take 1.8 × 20 = 36
If you want me to go over it in depth, let me know! Have a great day!
To amend a country's constitution, 5/6 of the 44 states in that country must approve the amendment.If 35 states approve an amendment, will the constitution be amended?
Three sides of a triangular field are of lengths 10 m, 20 m and 15 m respectively. Find the cost of fencing the field at the rate of Rs 25 per m.
Answer:
Step-by-step explanation:
Length of fence = Perimeter of triangle
= 10 + 20 + 15
Length of the fence = 45 m
Cost of fencing per meter = Rs. 25
Cost of fencing 45 m = 25 * 45
= Rs. 1125
[tex]\huge{\fbox{\fbox{Given:}}}[/tex]
Lengths of the three sides of triangle are 10m,20m and 15m.
Length of the fence =Perimeter of the ∆
[tex](10 + 20 + 15)m \\ = 45m[/tex][tex]\large{\fbox{\gray{Cost \: of \: fencing \: the \: field=}}}[/tex]
[tex]45 \times 25 = Rs1125[/tex]
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