What is one over eight equals s minus three over four
Answers
Answer:
1/8= s-3/4
s= -5/8
Step-by-step explanation:
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-3/4 multiplied by two so you get the common denominator
-6/8
Then add 6/8 to 1/8 giving you 7/8 so
Answer: S=7/8
Related Questions
What is the slope of the line shown?
Answers
Answer:
The slope is 1/2
Step-by-step explanation:
A theater sold 980 tickets for a ballet. The orchestra seats cost $50 each and the balcony seats cost $35 each. The theater collected $44,350 in ticket sales for the performance. How many balcony tickets were sold?
Answers
Answer:310
Step-by-step explanation:
Answer:
Balcony tickets = 310
Step-by-step explanation:
Let x be orchestra seat
and y be balcony seat
x + y = 980
x = 980 - y................ (1)
50x + 35y = 44350
Substituting in equation 2,
50 (980 - y) + 35y = 44350
y = 310
Pls help anyone!!!!!!!!!!!
Answers
10.) 1
11.) x-axis
12.) 4
13.) y-axis
Top left:2
Bottom left: 3
Bottom right:4
(9-13:) 3, 1, x-axis, 4, y-axis
About how long is the log that goes across the creeks
Answers
Answer:
uhh there is no question
Step-by-step explanation:
Find the value of x. 3x - 9 24+2 27
Answers
the answer is x equal to 18
Use the following scenario for questions 12-14Alison has $5.10 in quarters and dimes in her piggy bank. She has 27 coins in all.12 Write a system of linear equations to represent the situation.
Answers
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
piggy bank:
quarters and dimes = $5.10
# quarters and dimes = 27
Step 02:
system of equations:
quarters = q
dimes = d
equation 1:
q + d = 27
equation 2:
0.25q + 0.10d = 5.10
The answer is:
q + d = 27 eq.1
0.25q + 0.10d = 5.10 eq.2
I need help. Thank KB
Answers
Answer:
\(\huge\boxed{x=20}\)
\(\huge\boxed{H = 58, I = 71, J = 51}\)
Step-by-step explanation:
In order to find the measure of our angle, we have to note angle relationships.
All angles in a triangle will add up to 180°
This means all the angles in this triangle will equal 180, or:
\((4x - 9) + (3x - 2) + (3x-9) = 180\)
We can simplify this equation down to find the value of x.
Combine like terms:
\(10x - 20 = 180\)
Add 20 to both sides:
\(10x = 200\)
Divide both sides by 10:
\(x = 20\)
Now that we know the value of x, we can substitute it into the equation for each angle to find it's value.
m∠H:
\(3x-2\\3(20)-2\\60-2\\\\58\)
m∠I
\(4x-9\\4(20)-9\\80-9\\\\71\)
m∠J
\(3x-9\\3(20)-9\\60-9\\\\51\)
To further prove this is right, we would know that all the angles add up to 180°.
\(51+71+58=180\), so we should be right.
Hope this helped!
given:bac , dec , c is the midpoint of ae , what are the statements and reasons
Answers
Note that the proof that ΔABC ≅ ΔEDC is given as follows:
∠BAC ≅ ∠DEC (Given)C is the midpoint of AE (Given)∠ACB ≅ ∠ ECD - Vertical Angles TheoremΔABC ≅ ΔEDC - ASA Congruence Throrem.What is the ASA Congruence Theorem?According to the ASA rule, if any two angles and sides included between the angles of one triangle are comparable to the corresponding two angles and sides included between the angles of the second triangle, the two triangles are said to be congruent.
Thus, given the above statements, it is clear that ΔABC ≅ ΔEDC
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Full Question:
Angle BAC is congruent to Angle DEC: Given
C is the midpoint of AE: Given
Prove triangle ABC is congruent to triangle EDC
What are the statements and reasons for this proof?
Create a rational expression that simplifies to 2x/(x+1)
and that has the following restrictions on x:
x ≠ −1, 0, 2, 3. Write your expression here.
Answers
Answer:
One possible rational expression that simplifies to 2x/(x+1) and meets the given restrictions is:
(4x^2 - 2x - 3) / [(x + 1)(x - 3)(x - 2)]
To see why this expression simplifies to 2x/(x+1), we can simplify the numerator and denominator separately:
Numerator:
2x(2x-1) = 4x^2 - 2x
Denominator:
(x+1)(x-3)(x-2)
Multiplying the numerator and denominator by -1 gives:
(-2x)(2x-1) / [(3-x)(2-x)(1+x)]
Then, we can rearrange the factors in the denominator to get:
(-2x)(2x-1) / [(x+1)(x-2)(x-3)]
Now we have the desired rational expression that simplifies to 2x/(x+1) and has the given restrictions on x.
Step-by-step explanation:
XYZ has coordinates X(2, 3), Y(1,4), and Z(8,9). A translation maps X to X'(4,7). What are the coordinates for Y' and Z' for this translation?
Answers
Answer:
The coordinates are \(Y'(x,y) = (3, 8)\) and \(Z'(x,y) = (10, 13)\).
Step-by-step explanation:
First, we have to derive an expression for translation under the assumption that each point of XYZ experiments the same translation. Vectorially speaking, translation from X to X' is defined by:
\(X'(x,y) = X(x,y) + T(x,y)\) (1)
Where \(T(x,y)\) is the vector translation.
If we know that \(X(x,y) = (2,3)\) and \(X'(x,y) = (4,7)\), then the vector translation is:
\(T(x,y) = X'(x,y)-X(x,y)\)
\(T(x,y) = (4,7) - (2,3)\)
\(T(x,y) = (2, 4)\)
Then, we determine the coordinates for Y' and Z':
\(Y'(x,y) = Y(x,y) + T(x,y)\)
\(Y'(x,y) = (1,4) + (2,4)\)
\(Y'(x,y) = (3, 8)\)
\(Z'(x,y) = Z(x,y) + T(x,y)\)
\(Z'(x,y) =(8,9) + (2,4)\)
\(Z'(x,y) = (10, 13)\)
The coordinates are \(Y'(x,y) = (3, 8)\) and \(Z'(x,y) = (10, 13)\).
I need the answer for this, i have posted this multiple times
Answers
Answer:
1st staement, second option 2nd statement 3rd option, 3rd staement, 4th option, 4th statement, 1st option
Step-by-step explanation:
hope this is right!
Which equation shows a line perpendicular to y = 3x + 2
a) y-1=1/3 (x-2)
b) y-1=3(x-2)
c) y-1=-1/3(x-2)
d) y-1=-3(x-2)
Answers
The straight line y-1=-1/3(x-2) is perpendicular to y = 3x + 2 .
The common form for two-variable linear equations is Ax + By = C which is also the general form of a straight line.
For instance, the linear equation 6x+5y=11 uses standard form. Finding an equation's two intercepts (x and y) is fairly straightforward with this procedure.
The cartesian equation for a straight line is Y = mx + c, where m stands for the gradient or slope of the line and c for the point at which it intersects the y-axis.
If two geometrical objects cross at a right angle, they are perpendicular.
We know that when two line are perpendicular the product of their respective slopes equal to -1.
Now in the given options let us find the slope of each line.
a) y-1=1/3 (x-2)
slope = 1/3
b) y-1=3(x-2)
slope = 3
c) y-1=-1/3(x-2)
slope = -1/3
d) y-1=-3(x-2)
slope = -3
Therefore the slope of the third equation is the negative reciprocal of the slope of the given line.
Hence y-1=-1/3(x-2) is perpendicular to y = 3x + 2 .
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Use the diagram to the right to determine whether BC. DE. Justify your answer. AD = 15, DB = 12, AE = 10, and EC = 8. The cut part is BC (top to bottom)
Answers
Explanation:
AD = 15, DB = 12, AE = 10, and EC = 8
To determine if line BC is parallel to line DE, we will find the ratio of thier corresponding sides. if it is equal, they are parallelf
Solve the following equations. Note that the solutions should be given as fraction.
7= x/4 + 1/3
Thanksss so much,
Miracle.
Answers
Answer:
80/3 or 26 2/3
Step-by-step explanation:
:) hope this is correct
(1 point) Determine the speed s(t) of a particle with a given trajectory at a time to (in units of meters and seconds). c(t) = (ln(t^2 + 1), t^3), t0 = 14.
Answers
The speed s(t) of the particle with the given trajectory at t = 14 is 166.13 m/s.
What is trajectory?A trajectory is a path or an orbit that an object follows. It is the path that a moving object follows through space and time.
The speed s(t) of a particle with a given trajectory at a given time t is equal to the magnitude of the velocity vector. The velocity vector can be calculated by taking the first derivative of the position vector c(t).
Taking the derivative of c(t) with respect to t yields:
c'(t) = (2t / (t² + 1), 3t²).
The magnitude of c'(t) is equal to the speed of the particle at time t and is given by the following equation:
s(t) = √(4t² / (t² + 1) + 9t⁴).
Substituting t = 14 into the equation above yields:
s(14) = √(4*14² / (14² + 1) + 9*14⁴)
= √(2176 / 15 + 27456)
= √(27601)
= 166.13 m/s.
Therefore, the speed s(t) of the particle with the given trajectory at t = 14 is 166.13 m/s.
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Find the equation of the parallel to the line 3x-2y=5 and passing through the midpoint of the line segment joining the points (-4,2) and (2,4).
Answers
Given:
The equation of parallel line is:
\(3x-2y=5\)
The required line passing through the midpoint of the line segment joining the points (-4,2) and (2,4).
To find:
The equation of required line.
Solution:
Midpoint of line segment joining the points (-4,2) and (2,4) is:
\(Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)\)
\(Midpoint=\left(\dfrac{-4+2}{2},\dfrac{2+4}{2}\right)\)
\(Midpoint=\left(\dfrac{-2}{2},\dfrac{6}{2}\right)\)
\(Midpoint=\left(-1,3\right)\)
It means the required line passes through the point (-1,3).
The slope of line \(Ax+By=C\) is:
\(m=\dfrac{-A}{B}\)
The given equation is:
\(3x-2y=5\)
Here, A=3 and B=-2. So, the slope of the line is:
\(m=\dfrac{-3}{-2}\)
\(m=1.5\)
Slope of parallel lines are same. So, the slope of the required line is 1.5.
The required line passes through the point (-1,3) with slope 1.5. So, the equation of the line is:
\(y-y_1=m(x-x_1)\)
\(y-3=1.5(x-(-1))\)
\(y-3=1.5(x+1)\)
\(y-3=1.5x+1.5\)
Adding 3 on both sides, we get
\(y=1.5x+1.5+3\)
\(y=1.5x+4.5\)
Therefore, the equation of the required line is \(y=1.5x+4.5\).
What slope is perpendicular to m=2
-1/2
-2
1/2
none
2
Answers
Explanation:
Perpendicular lines have slopes that are negative reciprocals of one another. Since the original line has a slope of 2, the perpendicular line must have a slope of -1/2
What is the solution for the system of equations? use the substitution method to solve. 2x + y = 20
−5y = −6x + 12
Answers
Using the substitution method the solution for the system of equations is (x, y) = (7, 6).
The given system of equations is:
2x + y = 20 ---(1)
−5y = −6x + 12 ---(2)
We can use the substitution method to solve this system of equations.
Step 1: Solve one of the equations for one of the variables in terms of the other variable.
Let's solve equation (2) for y:
−5y = −6x + 12
Divide both sides by -5:
y = (6/5)x - 12/5
Step 2: Substitute the expression we found for y into the other equation and solve for x.
Substitute (6/5)x - 12/5 for y in equation (1):
2x + (6/5)x - 12/5 = 20
Multiply both sides by 5 to get rid of the denominator:
10x + 6x - 12 = 100
Combine like terms:
16x = 112
Divide both sides by 16:
x = 7
Step 3: Substitute the value of x into one of the original equations and solve for y.
Let's use equation (2) since we already solved for y in terms of x:
−5y = −6(7) + 12
−5y = −30
Divide both sides by −5:
y = 6
Therefore, the solution for the system of equations is (x, y) = (7, 6).
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Three runners, Dirk, Edith, and Foley all start at the same time for a $24$ km race, and each of them runs at a constant speed. When Dirk finishes the race, Edith is $8$ km behind, and Foley is $12$ km behind. When Edith finishes the race, how far behind is Foley, in km
Answers
Answer:
$12$ km
Step-by-step explanation:
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Answers
2 ( 2 n - 1 ) = - ( n + 7 )
Answers
Answer:
\(\huge\boxed{\sf n = -1}\)
Step-by-step explanation:
Given equation:2(2n - 1) = -(n + 7)
Distribute4n - 2 = -n - 7
Add n to both sides4n + n - 2 = -7
5n - 2 = -7
Add 2 to both sides5n = -7 + 2
5n = -5
Divide both sides by 5n = -5/5
n = -1
\(\rule[225]{225}{2}\)
What’s this answer
Which equation represents a line that is per
Answers
The equation which is perpendicular to the equation of line passing through the points (-4, 7) (1, 3):
y = 5/4x + 8.
What is the equation of line?The equation of a straight line is a relationship between x and y coordinates, The general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept.
To find the equation of a line that is perpendicular to another line, we need to know the slope of the original line.
The slope of the line passing through (-4,7) and (1,3) is:
m = (3 - 7) / (1 - (-4)) = -4/5
The slope of any line perpendicular to this line would be the negative reciprocal of -4/5, which is 5/4.
Therefore, the equation of a line that is perpendicular to the line passing through (-4,7) and (1,3) would be of the form:
y = 5/4 x + b
where b is the y-intercept.
Among the given options, the equation that matches this form is:
A. y = 5/4 x + 8
So the answer is (A) y = 5/4x + 8.
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A cereal box has a length of 4 inches, a width of 5 inches,
and a height of 8 inches. What is the volume of the box?
Justify your answer
Answers
Answer:
160
Step-by-step explanation:
base x width x height = volume
4x5x8=160 in^3
That's all there is to volume of a box
Hope that helps :)
Answer:
160 yet it's supposa be in Cuboid e.g. 160cm3
Step-by-step explanation:
Volume=L×H×W
= 4×5×8
=160
HELP
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Answers
Answer:
\( \frac{1}{8} \)
Step-by-step explanation:
there are 8 numbers
we want one of them (number 4)
which is 1 in 8
that is:
\( \frac{1}{8} \)
PLEASE IM DESPERATE
Answers
The number of rectangular table is equal to 5 rectangular tables.
The number of circular table is equal to 5 circular tables.
How to write a linear system of equations to model this situation?In order to write a linear system of equations to describe this situation, we would a assign variable to the number of circular table and the number of rectangular table respectively, and then translate the word problem into a linear equation as follows:
Let the variable x represent the number of circular table.Let the variable y represent the number of rectangular table.Since there are 9 tables and 80 chairs set up with 8 chairs each for the circular table and 10 chairs each for the rectangular table, a linear equation to model this situation is given by:
8x + 10y = 80 .......equation 1.
x + y = 9 .......equation 2.
In this scenario, we would use an online graphing calculator to plot the linear system of equations in order to determine the solution (point of intersection) as shown in the image attached below, which is at the ordered pair (5, 4).
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Lola bought x pencils that cost $0.25 each and y erasers that cost $0.50. She spent less than $3. Which graph represents lolas purchase
Answers
The graph that represents Lola's Purchase is as shown in the attached file.
How to interpret Inequality Graph?Lola bought x pencils that cost $0.25 and Y erasers that cost $0.50.
Total expenditure is less than $3.
Representing expense in the equation form gives us;
Expense on pencils + expense on erasers < 3
Thus;
0.25X + 0.50Y < 3
Dividing through by 0.25, we have;
X + 2Y < 12
This inequality when graphed, line will be plotted in dots and area below the line will be in the shaded form.
From the standard equation of line in slope intercept form, we can deduce that; Slope of this line is = (-1/2)
The correct graph is attached below.
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If you won the lottery today, and had a choice to receive all the money now, or get the money in the future, what is one big problem with getting it in the future?
a.
they may change their mind and not pay you
b.
the lottery people may go broke, or the lottery may be shut down before you get it all
c.
the money you get in the future will actually buy more because of inflation
d.
if you get it in the future, you can't invest it now
Answers
Answer:
a,b,c,and d..?
Step-by-step explanation:
Write an equation for the nth term of each geometric sequence.
-1, -5, -25,...
Oa. an = (5)-¹-1
Ob. a , = - 1¹( 3 ) - ²
5
Oc. an =-1(5)n-1
Od. an = 1(5)n-1
Answers
Answer:
C
Step-by-step explanation:
the nth term of a geometric sequence is
\(a_{n}\) = a₁ \(r^{n-1}\)
where a₁ is the first term and r the common ratio
here a₁ = - 1 and r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{-5}{-1}\) = 5
then nth term is
\(a_{n}\) = - 1 \((5)^{n-1}\)
Calculate the discriminant to determine the number of real roots of the quadratic equation y=x^2+3x−10.
A) no real roots
B) three real roots
C) one real root
D) two real roots
Answers
Hello!
x² + 3x - 10
The discriminant Δ is calculate by the formula: b² - 4ac
Δ = b² - 4ac
Δ = 3² - 4 * 1 * (-10) = 9 + 40 = 49
The discriminant is > 0 so there are two real roots.
What is the equation of the line that passes through the point (-4,-2) and has a slope of -1/2
Answers
Answer: y=-1/2x-4
Step-by-step explanation:
If you use point slope formula you get
y+2=-1/2(x+4)
simplify that in y=mx+b and you get
y=-1/2x-4