as I read it, what I get is that
x = returned profits or yielded interest from investment in A
y = returned profits or yielded interest from investment in B
T = total amount invested or namely A + B.
4000 were invested in A, and it yielded 5%, what's 5% of 4000? (5/100)(4000) = 200 = x.
we know the total amount is T, since A get 4000, B must have gotten T - 4000, or the slack. We also know that B yielded a 2% profit, well, what's 2% of T - 4000? (2/100)(T-4000) = y.
we also know that, whatever "x" and "y" are, their sum total yielded a 4% returns from T, or the total principal, what's 4% of T? (4/100)T = 0.04T.
[tex]\bf \begin{cases} T=\textit{total principal}\\[-0.5em] \hrulefill\\ A=4000\\ x = \stackrel{\textit{5\% of A}}{200}\\[-0.5em] \hrulefill\\ B=T-4000\\ y=\stackrel{\textit{2\% of B}}{0.02(T-4000)} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf \stackrel{\textit{5\% of A}}{200}+\stackrel{\textit{2\% of B}}{0.02(T-4000)}~~=~~\stackrel{\textit{4\% of T}}{0.04T} \\\\\\ 200+0.02T-80=0.04T\implies 120+0.02T=0.04T\implies 120=0.02T \\\\\\ \cfrac{120}{0.02}=T\implies 6000=T~\hfill \stackrel{~\hfill \textit{invested in B}}{6000-4000\implies 2000}[/tex]
I really need help answer it correctly please please please I need help I can figured it out show your work answer it correctly please please please .
Answer:
This for a science class I am guessing
Step-by-step explanation:
8 A -3×6
9 C 12×5 - 3×6
10 A 15× 120 min
11 D 5×-50
12 A add profit subtract expenses from profit total
13 B 118- 34 then divide by 2
14 A add the two costs
Justify the last two steps of the proof Given ABCD is a parallelogram Prove ABC CDA
D. Reflexive Property of SSS
Answer:
D
3. Reflexive Property of (Congruence) ≅
4. SSS (Side to Side to Side Congruence rule)
Step-by-step explanation:
3. Any geometric figure compared to itself is congruent to itself so this is why:
[tex]\overline{AC}\cong \overline{CA}\\\angle B\cong \angle B\\(...)[/tex]
4. Since we have a parallelogram, therefore we can say:
[tex]\overline{BC}\cong \overline{DA}\\\\\overline{BA}\cong \overline{DC}\\\\\overline{CA}\cong \overline{AC}\\[/tex]
Both triangles ABC and CDA satisfy the side to side to side congruence, since their 3 sides are congruent.
So, It's D.
P.S.
Notice that the angle measure information is not included in the data above that's why we cannot say it is SAS congruence.
-3x + 5x +-3= 4x + 5x
Answer: -3/7
Step-by-step explanation:
-3x + 5x +-3= 4x + 5x
7x=-3
x=-3/7
Answer:
5x + 3=4x
Step-by-step explanation:
I NEED HELP ASAP First, find the increasing functions. Then, classify each increasing function as having a larger or a smaller unit rate than the function represented in the graph.
witch ones are Larger Unit Rate, Smaller Unit Rate ?
A. y=4/3x-5/3
B. y=5/4x-3
C. y=-2x+17/3
D. y=7/4x-9/4
E. y=6/5x-3/5
F. y=8/5x-7/5
Answer:
In descending order the function are represented as [tex]D>F>A>B>E>C[/tex]
Step-by-step explanation:
Whether it is increasing or is the larger or smaller number it all depends on its slope.
Equation of line [tex]y=m(x)+c[/tex],and [tex]m[/tex] is the slope.
So we will work with the slopes of each equations and arrange them in descending order.[Greater to larger number sequence]
Slopes are [tex]\frac{4}{3}, \frac{5}{4}, \frac{-2}{1},\frac{7}{4}, \frac{6}{5}, \frac{8}{5}[/tex]
We will equate the denominator by taking LCD of it then multiply numerator and denominator with a fix number which can bring all the denominator same.
LCD of the denominator [tex](1,3,4,5)=60[/tex]
Example:
[tex]\frac{4}{3}=\frac{4\times 20}{3\times 20}= \frac{80}{60}[/tex]
Similarly we will equate all the fractions.
So the slope are [tex]\frac{80}{60}, \frac{75}{60}, \frac{-120}{60},\frac{105}{60}, \frac{72}{60}, \frac{96}{60}[/tex]
In descending order the numbers are:
[tex]\frac{105}{60},\frac{96}{60}, \frac{80}{60}, \frac{75}{60},\frac{72}{60},\frac{-120}{60}[/tex]
According to the option the right choice are as follows:
[tex]D>F>A>B>E>C[/tex]
To find increasing functions, examine the slope of each equation, which must be positive for the function to be increasing. Functions A, B, D, E, and F are increasing, with D having the largest unit rate. C is a decreasing function and is not classified with the others.
Explanation:To determine which functions are increasing, we look at the coefficient of x in each equation since that represents the slope of the line. For a function to be increasing, its slope (unit rate) must be positive. Comparing the slopes will help us classify each function as having a larger unit rate or a smaller unit rate than the function represented in the graph. Without the specific function from the graph for comparison, we'll just compare the given functions to each other.
A. y=4/3x-5/3: Increasing function with a slope of 4/3.B. y=5/4x-3: Increasing function with a slope of 5/4.C. y=-2x+17/3: Decreasing function with a negative slope; not an increasing function.D. y=7/4x-9/4: Increasing function with the largest slope of 7/4.E. y=6/5x-3/5: Increasing function with a slope of 6/5.F. y=8/5x-7/5: Increasing function with a slope of 8/5, which is larger than A and E but smaller than D.Based on the slopes, D has the largest unit rate, followed by F, A, B, and E, in that order. Function C is not increasing and thus not part of this classification.
Factor the expression.
2x² + 7x - 4
Answer:
11x-4
Step-by-step explanation:
2x^2+7x-4
2x^2= 2x2 =4 x
4x+7x=11x-4
Solve dy/dx = sqrt x+16 subject to the initial condition y(0)=0
The solution to the differential equation [tex]\( \frac{dy}{dx} = \sqrt{x + 16} \)[/tex]with the initial condition y(0) = 0 is [tex]\( y = \frac{2}{3}(x + 16)^{3/2} - \frac{128}{3} \)[/tex].
To solve the differential equation [tex]\( \frac{dy}{dx} = \sqrt{x + 16} \)[/tex] with the initial condition y(0) = 0, we'll integrate both sides with respect to x.
Given:
[tex]\[ \frac{dy}{dx} = \sqrt{x + 16} \][/tex]
Integrating both sides:
[tex]\[ \int \frac{dy}{dx} \, dx = \int \sqrt{x + 16} \, dx \]\[ \int dy = \int \sqrt{x + 16} \, dx \]\[ y = \frac{2}{3}(x + 16)^{3/2} + C \][/tex]
Now, we'll apply the initial condition y(0) = 0 to find the value of the constant C:
[tex]\[ 0 = \frac{2}{3}(0 + 16)^{3/2} + C \]\[ 0 = \frac{2}{3}(16)^{3/2} + C \]\[ 0 = \frac{2}{3}(64) + C \]\[ C = -\frac{128}{3} \][/tex]
So, the particular solution to the differential equation with the initial condition is:
[tex]\[ y = \frac{2}{3}(x + 16)^{3/2} - \frac{128}{3} \][/tex]
simplify 11/16 - 11/12
Answer:
-11/48
Step-by-step explanation:
11/16-11/12=132/192-176/192=-44/192
simplify
-11/48
PLEASE MARK BRAINLIEST!
Answer:
Your answer is
Step-by-step explanation:
11/16 = 33/48
11/12 = 44/48
33/48 - 44/48 = -11/48
Your answer is -11/48.
I hope this helps!
A cafeteria was putting milk cartons into stacks. They had two hundred sixty-nine cartons and were putting them into stacks with eighteen cartons in each stack. How many full stacks could they make?
Answer:
They could make 14 full stacks
Step-by-step explanation:
All you need to is divided the 269 by the 18 cartons and it will equal 14.944444444
so that means only 14 full stacks and you can't round because that would not make sense
Soulotion to equation if y is =15 when x=2 ,find y when x=8
Answer:
The value of y for x = 8 is 60 .
Step-by-step explanation:
Given expression as :
For x = 2 , y = 15
Let the equation be written with constant k'
So, y = k x
Or, k = [tex]\dfrac{y}{x}[/tex]
∴ k = [tex]\dfrac{15}{2}[/tex]
Now, again
For x = 8
equation can be written as
y = k x
Or, y = [tex]\dfrac{15}{2}[/tex] × 8
Or, y = [tex]\frac{15\times 8}{2}[/tex]
∴ y = 15 × 4
I.e y = 60
Hence The value of y for x = 8 is 60 . Answer
The sum of 5 consecutive odd numbers is 145
The sum of 5 consecutive odd integers is 145. These are the other 4 consecutive odd numbers. Now if we add all of these up we will get this : 25 + 27 + 29 + 31 + 33 = 145.
Hope I helped! ☺☼
The five consecutive odd numbers that sum up to 145 are 25, 27, 29, 31, and 33.
Let's call the middle of the five consecutive odd numbers n. Because these numbers are odd and consecutive, the two numbers before n will be n-2 and n-4, and the two after will be n+2 and n+4. The sum of these five numbers is:
n-4 + n-2 + n + n+2 + n+4 = 5n.
Since the sum of the five numbers is 145, we have:
5n = 145.
To find the value of n, we divide both sides by 5:
n = 145 / 5,
n = 29.
So the middle number is 29, and the five consecutive odd numbers are 25, 27, 29, 31, and 33.
The above question is incomplete, the complete question is:
The sum of 5 consecutive odd numbers is 145. find the numbers.
plz help i really need to get this right
Answer:
y = 2x
Step-by-step explanation:
Note the relationship between x and y, that is
x = - 42 → y = - 84 ← that is y = 2x
x = - 14 → y = - 28 ← that is y = 2x
x = 14 → y = 28 ← that is y = 2x
x = 42 → y = 84 ← that is y = 2x
Thus the linear equation is y = 2x
Answer:
y = 2xStep-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
From the table we have the points (14, 28) and (42, 84).
Substitute:
[tex]m=\dfrac{84-28}{42-14}=\dfrac{56}{28}=2[/tex]
Put the val;ue of a slope and the coordinates of the point (14, 28) to the equation of a line:
[tex]28=2(14)+b[/tex]
[tex]28=28+b[/tex] subtract 28 from both sides
[tex]28-28=28-28+b\\\\0=b\to b=0[/tex]
Finally we have:
[tex]y=2x+0=2x[/tex]
- 2x + y = 14
4x - 6y= 4 system of equations substitution
Hey there! :)
Equation 1) -2x + y = 14
Equation 2) 4x - 6y = 4
Add 2x to both sides of equation 1 so that we can get the value of y.
y = 2x + 14
Now, plug the value of y into our second equation.
4x - 6(2x + 14) = 4
Simplify.
4x - 12x - 84 = 4
Add 84 to both sides.
4x - 12x = 4 + 84
Simplify.
-8x = 88
Divide both sides by -8.
x = -11
Now, plug our value of x into our first equation in order to find y.
-2x + y = 14
-2(-11) + y = 14
22 + y = 14
y = -8
Therefore, the systems of equation variables are : (-11, -8)
~Hope this helped! :)
⠀⠀⠀⠀
Value of x = - 11 Value of y = - 8⠀⠀⠀⠀
━━━━━━━━━━━━━━━━━
➤ How to solve ?⠀⠀⠀⠀
For solving such questions we need to know the linear inequations .
⠀⠀⠀⠀
Liner inequations can be solved with many methods . But here as mentioned we have to solve with substitution method .
⠀⠀⠀⠀
Substitution method is the method of finding the value of one variable from equation 1 and then substituting the value in the equation 2 .
━━━━━━━━━━━━━━━━━
Solution :⠀⠀⠀⠀
⠀⠀
-2x + y = 14 --- ( i )
⠀⠀⠀⠀
4x - 6y = 4
2 ( 2x - 3y ) = 4
2x - 3y = 4 / 2
2x - 3y = 2 --- ( ii )
As given , -2x + y = 14
➠ y = 14 + 2x
Now, we will substitute the value of y in eq ( ii )
⠀⠀⠀⠀
➠ 2x - 3y = 2
➠ 2x - 3 ( 14 + 2x ) = 2
➠ 2x - 42 - 6x = 2
➠ 2x - 6x = 2 + 42
➠ -4x = 44
➠ x = 44 / - 4
⠀⠀⠀⠀
➠ x = -11
⠀⠀⠀⠀
[tex]\sf{\underline{\boxed{\huge{\blue{\mathbb{x = - 11 }}}}}}[/tex]
substituting the value of x in equation ( i )⠀⠀⠀⠀
➠ -2x + y = 14
⠀⠀⠀⠀
➠ - 2 × - 11 + y = 14
⠀⠀⠀⠀
➠ 22 + y = 14
⠀⠀⠀⠀
➠ y = 14 - 22
⠀⠀⠀⠀
➠ y = - 8
⠀⠀⠀⠀
[tex]\sf{\underline{\boxed{\huge{\blue{\mathbb{y = -8}}}}}}[/tex]
━━━━━━━━━━━━━━━━━
During her first year of college, Sara put $2000 in the bank to save for a trip to Italy after graduation. The money earned 3% simple annual interest. After 4 years, how much money did she have in the bank for her trip?
Answer:
Sara will have US$ 2,251.02 in the bank after 4 years for her trip to Italy.
Step-by-step explanation:
1. Let's review the data given to us for solving the question:
Investment of Sara during her 1st year of college = US$ 2,000
Duration of the investment = 4 years
Annual interest rate = 3%
2. Let's find the future value of this investment after 4 years, using the following formula:
FV = PV * (1 + r) ⁿ
PV = Investment of Sara during her 1st year of college = US$ 2,000
number of periods (n) = 4
rate (r) = 3% = 0.03
Replacing with the real values, we have:
FV = 2,000 * (1 + 0.03) ⁴
FV = 2,000 * (1.03) ⁴
FV = 2,000 * 1.12550881
FV = 2,251.02
Sara will have US$ 2,251.02 in the bank after 4 years for her trip to Italy.
Answer:
2240
Step-by-step explanation:
Joseph has 2 2/3 bags of popcorn, Sally has 1 3/4 bags of popcorn. How much do they have together?
Answer:
4 5/12 or four and five twelfths or 4 and 5 over 12
Step-by-step explanation:
Fill in the missing numbers to the linear eqution
Answer:
[tex]y=-30x+0[/tex]
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]k=\frac{y}{x}[/tex] or [tex]y=kx[/tex]
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
In this problem the linear equation represent a proportional relationship, because pass through the origin (0,0).
Find the value of the constant of proportionality k
For x=1, y=-30
substitute
[tex]k=\frac{-30}{1}=-30[/tex]
so
the linear equation is
[tex]y=-30x[/tex]
therefore
[tex]y=-30x+0[/tex]
The function h(t) = - 16t ^ 2 + 32t + 24 represents the height of an object t seconds after being launched straight into the air. What does -16 represent?
A)initial velocity
B)time until the object hits c) the ground maximum height
D) acceleration due to gravity
Answer:
D
Step-by-step explanation:
When we differentiate the function, we get -32x + 32, which is the velocity function of the original.
When we differentiate again, we get -32, which is derived from the initial -16. This -32 represents the acceleration, because it is the 2nd derivative.
Hence, the answer is D, acceleration due to gravity.
Each month the stock decreased in value.
On January 1 it was worth $8,474.
On March 1 it was worth $3,323.
During February it decreased by $1,621.
During January it decreased by $_____.
Answer:
During January it decreased by $3,530.
Step-by-step explanation:
Given data:
Value of stocks in January 1st = $8,474
Value of stocks on March 1st = $3,323
Decrease value during February = $1,621
To find the decrease value during January.
Solution:
Let the decrease value in dollars during January be = [tex]x[/tex]
So, value of stocks in dollars on 1st February will be = [tex]8474-x[/tex]
So, value of stocks in dollars on 1st March will be = [tex]8474-x-1621[/tex]
So, we have
[tex]8474-x-1621=3323[/tex]
[tex]6853-x=3323[/tex]
Subtracting both sides by 6853.
[tex]6853-x-6853=3323-6853[/tex]
[tex]-x=-3530[/tex]
Multiplying both sides by -1.
∴ [tex]x=3530[/tex]
Thus, during January it decreased by $3,530.
the price of an air conditioner was reduced from rs 27000 to rs 24000 find the rate of percentage
Answer:
The percentage decrease in price of Air conditioner is 33.33%
Step-by-step explanation:
Given as :
The initial price of air conditioner = Rs 27000
The reduce price of air conditioner = Rs 24000
Let the rate of percentage = x %
So, % decrease = [tex]\frac{\textrm initial value - \textrm final value}{\textrm initial value}[/tex] × 100
Or, % decrease = [tex]\frac{\textrm 27000 - \textrm 24000}{\textrm 27000}[/tex] × 100
Or , % decrease = [tex]\frac{3000}{27000}[/tex] × 100
Or, % decrease = [tex]\frac{100}{9}[/tex]
Or. % decrease = 33.33 %
Hence The percentage decrease in price of Air conditioner is 33.33% Answer
Find all possible values of parameter a such that x^2−|x−a|−|x−1|+3≥0 inequality holds for all real values of x.
Answer:
x ≤ 2
Explanation:
As with equations, there may be instances in which there is no solution to an inequality. Isolate the absolute value by subtracting 9 from both sides of the inequality. The absolute value of a quantity can never be a negative number, so there is no solution to the inequality.
What is the answer to
2(6d+3)=18-3(16-3d)
Answer:
3
d
=
−
36
Step-by-step explanation:
An antique wooden chest has the shape of a rectangular prism. It has a width of 16 inches. Its length is 4 times its height. The
volume of the chest is 4,096 cubic inches. What is the height of the chest?
Considering the dimensions of the given rectangular prism and it's volume, the height of the chest is of 8 inches.
What is the volume of a rectangular prism?The volume of a rectangular prism of width w, length l and height h is given by the multiplication of these dimensions, as follows:
V = lwh
For this problem, the dimensions are given as follows:
w = 16, l = 4h, V = 4096.
Hence the height of the chest can be found as follows:
lwh = 4096
16 x 4h x h = 4096
h² = 4096/64
h² = 64
h = 8.
Hence, the height of the chest is of 8 inches.
More can be learned about the volume of a rectangular prism at https://brainly.com/question/17223528
#SPJ1
A construction crew can clear 1/2 ton of dirt in 90 minutes. How much dirt can they clear in 4 hours?
Answer:
4/3t
Step-by-step explanation:
1/2t.........90m
x t.............4h->240m
x=(240m*1/2t)/90m
x=120/90
x=4/3t
The construction crew can clear 8/3 tons of dirt in 4 hours.
Explanation:To find out how much dirt the construction crew can clear in 4 hours, we need to first determine their rate of clearing dirt. The question states that they can clear 1/2 ton of dirt in 90 minutes. To calculate their rate, we divide the amount of dirt cleared (1/2 ton) by the time taken (90 minutes):
Rate = 1/2 ton / 90 minutes
Simplify the rate:
Rate = 1/2 × 2/90 ton/minute = 1/180 ton/minute
Now, to find how much dirt they can clear in 4 hours, we multiply their rate by the number of minutes in 4 hours:
Dirt cleared = Rate × Time
Dirt cleared = 1/180 ton/mintue × 4 hours × 60 minutes/hour
Simplify the units:
Dirt cleared = 1/180 × 4 × 60 ton
Calculate the result:
Dirt cleared = 8/3 ton
Therefore, the construction crew can clear 8/3 tons of dirt in 4 hours.
Learn more about Rate of Work here:https://brainly.com/question/14305692
#SPJ2
Complete the statements.
Graph ___ has one real root.
Graph___ has a negative discriminant.
Graph __ has an equation with coefficients
a = 1, b = 4, C = -2
Answer:
First blank -- B
Second blank -- A
Third blank -- C
Step-by-step explanation:
To find characteristics of a quadratic equation from just looking at the graph is very simple. Here are few points which you can keep in mind which solving these type of questions.
If value of a (coefficient of [tex]x^{2}[/tex]) is positive then parabola will open upward and if value of a is negative then parabola will open downward.c is the value of y-intercept of the graph.The number of times the graph will cut the x-axis is the number of real roots of the equation. If graph touches the x-axis then the number of real roots will remain two but now they are equal so the number of solution will be one (For answering questions you can assume that the roots and solutions are one and the same thing so the answer of first question will be graph B). If it doesn't touch or cut the x-axis ( as in case of graph A ) the number of real roots is equal to zero but still there are two roots of this quadratic equation and now they are imaginary roots. (Number of roots of a quadratic are always two. Either both can be real or both can be imaginary)To check which type of roots a quadratic equation has you can check the discriminant of the equation which is (in terms of a, b, c)[tex]D=b^{2} -4ac[/tex]
if D > 0 then two distinct real roots (graph cuts x-axis at two distinct points)
if D = 0 then two equal real roots (graph touches x-axis)
if D < 0 then two imaginary roots (graph doesn't touch x-axis)
For graph A : D < 0 (as it has imaginary roots)
For graph B : D = 0 (as it touches the x-axis)
For graph C : D > 0 (as [tex]D=b^{2}-4ac=4^{2}-4 \times 1 \times (-2)=16+8=24[/tex])
Answer:
Graph B has one real root.
Graph A has a negative discriminant.
Graph C has an equation with coefficients
Step-by-step explanation:
Solve the system of equations by graphing where f(x)=5-2x and g(x)=(2/3)x-2. What is the value of x? 0 1 2 3 4
Answer:
The graph is uploaded in the attachment.
The value of x is 2.625.
Step-by-step explanation:
let us plot f(x), g(x) on y-axisso, f(x)=y and g(x)=y.
the first equation can be written as y=5-2xthe general equation of a straight is y=mx+c( where m is the slope and c is the y-intercept )
now comparing given equation with the general equation mentioned above, the slope of first line is -2 and its y-intercept is 5the slope of second equation i.e, y=(2/3)x-2 is 2/3 and its y-intercept is -2.now plot the graph using above information.(y-intercept is the the coordinate of a point where the line intersects y-axis)
(slope is the angle made by the line with the x-axis)
by seeing the graph, the value of x is 2.625.i need help cause uh i’m dumb
Answer:
$650
Step-by-step explanation:
9100-4500 = 4550
14-7 7
= 650
1
=$650
Graph the line represented by the equation. y−3=−12(x+4)
Answer:
equation of the line = y=12x+45 i cant rlly graph it for you
Step-by-step explanation:
y-3 = 12 (x+4)
y-3 = 12x + 48
-3 -3
y=12x + 45
help fill out the proof
Answer:
Step V: Transitive property of Inequality
Step VI: Subtraction Property of Inequality
Step-by-step explanation:
In Step IV, the RHS of t=both the sides are equal.
So, they equated the LHS of both the sides.
This is the transitive property of equality which states that if a = b and c = b then a = c.
In this case, a = [tex]$ \angle {m_1} + \angle {m_2} $[/tex]
b = 180⁰
c = [tex]$ \angle {m_2} + \angle {m_3} $[/tex]
Consequently, [tex]$ \angle {m_1} + \angle {m_2} = \angle {m_2} + \angle {m_3} $[/tex]
In step VI, [tex]$ \angle {m_2} $[/tex] is subtracted on both the sides. So, this is called as Subtraction Property of Equality.
(7n + 2)(4n+8)
What is the answer?
Answer:
28 n 2 + 64 n + 16
Step-by-step explanation:
can someone please help me
Answer:
1. [tex]\dfrac{44}{13}=3\dfrac{5}{13}[/tex]
2. 9.6
3. 0
Step-by-step explanation:
Thales’ Theorem: If arms of an angle are cut by parallel straight lines, then the ratio of the lengths of the line segments obtained on one arm are equal to the corresponding segments obtained on the second arm.
1. By Thales's theorem,
[tex]\dfrac{9}{4}=\dfrac{11-x}{x}\\ \\9x=4(11-x)\ [\text{Cross multiply}]\\ \\9x=44-4x\\ \\9x+4x=44\\ \\13x=44\\ \\x=\dfrac{44}{13}[/tex]
2. By Thales's theorem,
[tex]\dfrac{8}{12}=\dfrac{x}{24-x}\\ \\12x=8(24-x)\ [\text{Cross multiply}]\\ \\12x=192-8x\\ \\12x+8x=192\\ \\20x=192\\ \\x=9.6[/tex]
3. By Thales's theorem,
[tex]\dfrac{4x}{5x}=\dfrac{4x-8}{6x-10}\\ \\\dfrac{4}{5}=\dfrac{4x-8}{6x-10}\\ \\5(4x-8)=4(6x-10)\ [\text{Cross multiply}]\\ \\20x-40=24x-40\\ \\20x=24x\\ \\4x=0\\ \\x=0[/tex]
Write the correct numbers in the boxes to complete the area model and the equation shown
4306/9= ___ R___
Answer:
478 R 4
Step-by-step explanation: