Answer:
19
Step-by-step explanation:
in question given ,x = 2, y = 3, z = 5 in this way
(3x+3z+2w) and find the value of w . according to given values and put
Answer:
4 +30/w . . . . for any w≠0
Step-by-step explanation:
The given constraints resolve to 2 equations in 4 unknowns. There are an infinite number of solutions.
The ratio requirement means ...
(x -y +z)/2 = (y -z +2w)/3 = (2x +z -10)/5
Considering the first equality, we can multiply by 6 and subtract the right side.
3(x -y +z) -2(y -z +2w) = 0 ⇒ 3x -5y +5z -4w = 0
Considering the first and last expressions, we can multiply by 10 and subtract the right side.
5(x -y +z) -2(2x +z -10) = 0 ⇒ x -5y +3z = -20
These two equations have solutions ...
x = 10 -z +2w
y = 6 + 0.4z +0.4w
Using these expressions in the ratio of interest, we have ...
(3x +3z -2w) : w = (3(10 -z +2w) +3z -2w) : w = (30 -3z +6w +3z -2w) : w
= (30 +4w) : w
Expressed as a mixed number, the ratio of interest is ...
(30 +4w)/w = 4 +30/w . . . . an infinite number of solutions
__
For positive values of w that are divisors of 30, there are 8 possible values:
(w, ratio) = (1, 34), (2, 19), (3, 14), (5, 10), (6, 9), (10, 7), (15, 6), (30, 5)
_____
Check
It might be interesting to substitute the expressions for x and y into our original equation(s).
(x -y +z)/2 = ((10 -z +2w) -(6 +0.4z +0.4w) +z)/2 = (2 -0.2z +0.8w)
(y -z +2w)/3 = ((6 +0.4z +0.4w) -z +2w)/3 = (2 -0.2z +0.8w)
(2x +z -10)/5 = (2(10 -z +2w) +z -10)/5 = (2 -0.2z +0.8w)
All of these expressions are identical, as they should be.
I NEED HELP! The surface area of a triangle is base times height. True or False?
Answer:
true
Step-by-step explanation:
i learned this in like 7th grade
A middle school took all of its 6th grade students on a field trip to see a symphony at a theater that has 4500 seats. The students filled 2205 of the seats in the theater. What percentage of the seats in the theater were filled by the 6th graders on the trip?
Answer:
49%.
Step-by-step explanation:
2205 100 220500
........... x .......... = .................. = 49 (49%).
4500 1 4500
The theater filled up with 49% of seats with 6th grade students.
What is a expression? What is a mathematical equation? What is Equation Modelling?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have a middle school that took all of its 6th grade students on a field trip to see a symphony at a theater that has 4500 seats. The students filled 2205 of the seats in the theater.
Assume that the theater filled up [x]% of seats at the theater. Then, we can write -
[x]% = (2205/4500) x 100
[x]% = 0.49 x 100
[x]% = 49%
Therefore, the theater filled up with 49% of seats with 6th grade students.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
#SPJ2
help me plssssssssssssss
Answer:
C .......
Step-by-step explanation:
Solve for S
Please help me
Answer:
s = 19°Step-by-step explanation:
opposite angles = equal angles
so
106 = 6s - 8
114 = 6s
s = 114 : 6
s = 19°
--------------- check
106 = 6 * 19 - 8
106 = 106
the answer is good
Find the value of x! GIVING BRAINILEST
Answer:
the value of x must be 71°
Step-by-step explanation:
180° - (38° + 33°) = 109°
x = 180° - 109°
x = 71°
Answer:
x = 71
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
x is an exterior angle of the triangle , then
x = 38 + 33 = 71
n is m% of what? please help its hard.
Answer:" m% = m/100. what = a variable ... "x". for example. "is" means "=". "of" means multiply. n = (m/100)•x.
Step-by-step explanation:
The circle graph below represents the opinions of 100 students about their favorite sports. Each student chose exactly one of these four options: Basketball, Hockey, Football, and Other. The following statements are true about the graph:
The number of students who chose Basketball is three times the number of students who chose Other.
Ten more students chose Football than chose Hockey.
The percent of students who chose Basketball plus the percent of students who chose Football equal 65.
What percent of the students chose Basketball?
Answer:
Yo…what’s the graph?
Step-by-step explanation:
2x-3y=7 and y=3x-7 how do you solve this using subsitution
[tex]2x-3y = 7~~~....(i)\\\\y = 3x -7~~~....(ii)\\\\\\\text{Substitute}~ y = 3x -7~ \text{in equation (i):}\\\\\\2x-3(3x-7) = 7\\\\\implies 2x -9x + 21 =7\\\\\implies -7x = 7 -21\\\\\implies -7x = -14\\\\\implies x = \dfrac{-14}{-7} = 2\\\\\\\text{Substitute x = 2 in equation (ii):}\\\\y=3(2) -7 = 6 -7 = -1\\\\\\\text{Hence (x,y) =(2,-1)}[/tex]
Find the whole number equal to the fraction below. Enter your answer in the
space provided.
Answer:
[tex]\huge\purple{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]
6/2 ÷ 2/2 = 3/1
3 ÷ 1 = 3
Answer: 3
#CarryOnLearning
Carter goes out to lunch. The bill, before tax and tip, was $19.55. A sales tax of 3% was added on. Carter tipped 15% on the amount after the sales tax was added. How much tip did he leave? Round to the nearest cent.
Answer:
$3.02
Step-by-step explanation:
Convert the Percentage to decimals:
3% / 100% = 0.03
15% / 100% = 0.15
3% / 0.03 part:
19.55 * 0.03 = 0.5865
19.55 + 0.5865 = 20.1365
OR, since it was "adde on" you can just use 1.03:
19.55 * 1.03 = 20.1365
15% / 0.15 part:
20.1365 * 0.15 = 3.020475
Round to nearest cent: $3.02
---
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How does the value of 2 dimes compare to the value of 2 dollars
Answer:
The 2 dollars has $1.80 more than the two dimes.
Step-by-step explanation:
2.00-0.20=1.80
Expression 26-(-17)can be rewritten as
Hey there!
The expression 26-(-17) can be rewritten as
26+17
Remember:
a-(-b)=a+bHope it helps. Use the comment section to clarify your doubts.
Answered by
~A felicitous teen who is preparing for the New Year's Day
Good luck. :-)
What is the simplest form of
Answer:
B
Step-by-step explanation:
Angles A,D and G are congruent, and angles c, f and j are congruent. What is the mesure of angle E?
Answer:
60
Step-by-step explanation:
Since the angles A, D, and G are congruent then sum of given angles is eaqual to 180 degrees
x + 20 + 2x + x = 180 add like terms
4x + 20 = 180 subtract 20 from both sides
4x = 160 divide both sides by 4
x = 40
Angles B, E, and H are congruent so E is also = x + 20 and x = 40 so angle E = 60
3.
Which two expressions can be used to find the value of (36)(24)?
A (30-6)(30 - 6)
(30 + 6)(30 - 6)
C 30²- 6²
B
D302 - 360 +62
-
E 30² +62
Answer:
962
Step-by-step explanation: 30²- 6² is 962
Please help ASAP!!! Will give 10 pts!!
What is the solution to the system of equations?
{2x + 3y = 6
x+y=1
Answer: {x,y} = {-3,-4}
Step-by-step explanation:
-6x+6y=9 (1/2,2) please helppppp
Answer:
Not a solution.
Step-by-step explanation:
[tex]-6x + 6y = - 9\\\rule{150}{0.5}\\-6(\frac{1}{2}) + 6(2) = -9\\\\-3 + 12 = -9\\\\9 =-9[/tex]
The final result is a contradiction. It is not a solution to the equation, and therefore, will not be on the line.
Solve using substitution.
y = -9x - 8
y = -6x – 2
Please help
Answer:
y = 10; x = -2
Step-by-step explanation:
Because both are equal to y, you can set them equal to each other.
-9x - 8 = -6x - 2
- 6 = 3x
x = -2
y = -9(-2) - 8 = 10
Help help help help math math
Answer:
<4 = 67 degrees
Step-by-step explanation:
Find <3
30+37+x=180
subtract 37 and 30
x = 180 - 30 - 37
x = 150 - 37
x= 113
Find <4
180 - 113
67
Which equation demonstrates the multiplicative identity property?
(-3+5i)+0--3+5i
(-3+5i)(1)=-3+5i
(-3+5i)(-3+5i) =-16-30i
(-3+5i)(3-5i) = 16+30i
Answer:
C (-3 + 5i) (-3 + 5i) = -16-30i
Step-by-step explanation:
EDGENUNITY
What are the coordinates of the focus of the conic section shown below?
x^2+6x-4y+5=0
Answer:
The coordinates of the focus are [tex](-3,0)[/tex]
Step-by-step explanation:
The general equation for any conic section is [tex]Ax^2+Bxy+Cy^2+Dx+Ey+F=0[/tex] where [tex]A[/tex], [tex]B[/tex], [tex]C[/tex], [tex]D[/tex], [tex]E[/tex], and [tex]F[/tex] are constantsIf [tex]B^2-4AC<0[/tex], the conic section is either a circle or ellipseIf [tex]B^2-4AC=0[/tex], the conic section is a parabolaIf [tex]B^2-4AC>0[/tex], the conic section is a hyperbolaSince [tex]B^2-4AC=0^2-4(1)(0)=0[/tex], the conic section is a parabola.
The standard form equation for a parabola is [tex](x-h)^2=4p(y-k)[/tex]Vertex is [tex](h,k)[/tex]Focus is [tex](h,k+p)[/tex]Directrix is [tex]y=k-p[/tex]Vertical axis is at the line [tex]x=h[/tex][tex]p\neq 0[/tex]Convert general form into standard form by completing the square:
[tex]x^2+6x-4y+5=0[/tex]
[tex]x^2+6x+5=4y[/tex]
[tex]x^2+6x+9=4y+4[/tex]
[tex](x+3)^2=4(y+1)[/tex]
Now that the equation is in the form of [tex](x-h)^2=4p(y-k)[/tex], we can see that [tex]h=-3[/tex] and [tex]k=-1[/tex] which tells us that the vertex is at [tex](-3,-1)[/tex]. To determine the coordinates of the focus, we need to solve the equation [tex]4p=4[/tex] and plug the value of [tex]p=1[/tex] into [tex](h,k+p)[/tex] to get [tex](-3,-1+1)[/tex] which is [tex](-3,0)[/tex].
In conclusion, the coordinates of the focus for the conic section are [tex](-3,0)[/tex].
Austin is running. The number of calories he has burned varies directly with the number of minutes he has run. See the graph below. 400 350+ 300 250 + Calories burned 200+ 150 100+ 50+ 0 20 10 30 80 Number of minutes
a) how many minutes does austin run per calories burned?
b) what is the slope of the graph?
Answer:
223454353.000000000000000000
Step-by-step explanation:
A refrigeration system of 60 kW capacity at an evaporator temperature of – 40°C and a condenser temperature of 20°C is needed in a food storage locker. The refrigerant R134a is sub-cooled by 10°C before entering the expansion valve. The vapour is 0.98 dry as it leaves the evaporator coil. The compression in the compressor is of adiabatic type.
HELPPP!! DUE NOWWWW!
Lucy recently joined a fitness club, she had to pay an initial fee to join. Lucy will also pay an extra fee per class she takes there. The equation below represents the relationship.
f(x)=20+3x
Identify the false statement
A. Lucy paid $3 per class.
B. f(x) represents the total amount Lucy paid.
C. x represents the cost of classes.
D. The initial fee was $20
Answer: C
Step-by-step explanation: x represents the number of classes, not the cost of classes.
Camden has a loyalty card good for a 17% discount at his local hardware store. What number should he multiply the prices on the tags by to find the price he would have to pay, before tax, in one step?
Answer:
0.83Step-by-step explanation:
Let the price is x.
With 17% discount it becomes:
x - 17% of x =x - 0.17x = 0.83xThe number we need is 0.83
Solution,
Assume That The Price is x
When Will Put It in Equation,
[tex] \frak{ \bigstar}{ \rm{ {We \: Will \: Get,}}}[/tex]
[tex]{ \longmapsto{ \sf{x-17 \% \: of x =}}}[/tex][tex]{ \longmapsto { \sf{x-0.17x}}}[/tex]0.83Hence, Required Price is “0.83”
How do we graph y+6=45(x+3)?
Answer:
.....,....................
Solve |2x - 5| = 4.
a. {x | x = 0.5 or x = 4.5}
b. {x | 0.5 < x < 4.5}
c. {x | x = -4.5 or x = 4.5}
I know you’re supposed to change the bounds and break up the integral, but for some reason, I can’t get the 44/3. Can someone explain how to solve this definite integral?
First, look for the zeroes of the integrand in the interval [0, 6] :
x² - 6x + 8 = (x - 4) (x - 2) = 0 ⇒ x = 2 and x = 4
Next, split up [0, 6] into sub-intervals starting at the zeroes we found. Then check the sign of x² - 6x + 8 for some test points in each sub-interval.
• For x in (0, 2), take x = 1. Then
x² - 6x + 8 = 1² - 6•1 + 8 = 3 > 0
so x² - 6x + 8 > 0 over this sub-interval.
• For x in (2, 4), take x = 3. Then
x² - 6x + 8 = 3² - 6•3 + 8 = -1 < 0
so x² - 6x + 8 < 0 over this sub-interval.
• For x in (4, 6), take x = 5. Then
x² - 6x + 8 = 5² - 6•5 + 8 = 3 > 0
so x² - 6x + 8 > 0 over this sub-interval.
Next, recall the definition of absolute value:
[tex]|x| = \begin{cases}x & \text{for }x \ge0 \\ -x & \text{for }x < 0\end{cases}[/tex]
Then from our previous analysis, this definition tells us that
[tex]|x^2 - 6x + 8| = \begin{cases}x^2 - 6x + 8 & \text{for }0<x<2 \text{ or } 4<x<6 \\ - (x^2-6x+8) & \text{for }2<x<4\end{cases}[/tex]
So, in the integral, we have
[tex]\displaystyle \int_0^6 |x^2-6x+8| \, dx = \left\{\int_0^2 - \int_2^4 + \int_4^6\right\} (x^2 - 6x + 8) \, dx[/tex]
Then
[tex]\displaystyle \int_0^2 (x^2 - 6x + 8) \, dx = \left(\frac13 x^3 - 3x^2 + 8x\right) \bigg|_0^2 = \frac{20}3 - 0 = \frac{20}3[/tex]
[tex]\displaystyle \int_2^4 (x^2 - 6x + 8) \, dx = \left(\frac13 x^3 - 3x^2 + 8x\right) \bigg|_2^4 = \frac{16}3 - \frac{20}3 = -\frac43[/tex]
[tex]\displaystyle \int_4^6 (x^2 - 6x + 8) \, dx = \left(\frac13 x^3 - 3x^2 + 8x\right) \bigg|_4^6 = 12 - \frac{16}3 = \frac{20}3[/tex]
and the overall integral would be
20/3 - (-4/3) + 20/3 = 44/3
Two angels in a triangle are equal and their sum is equal to the third angle in the triangle. What are the measures of each of there interior angles?
Answer:
45°, 45°, 90°
Step-by-step explanation:
You have described an isosceles right triangle. The angle measures are ...
45°, 45°, 90°
_____
If x is the smaller angle measure, then the total of angles is ...
x + x + 2x = 180°
x = 180°/4 = 45°
Giving brainilest! Find the measures
Answer:
the answers are <1 = 118°, <2 = 62°
Answer:
∠ 1 = 118° , ∠ 2 = 62°
Step-by-step explanation:
∠ 1 and 118° are corresponding angles and are congruent, then
∠ 1 = 118°
∠ 1 and ∠ 2 are adjacent angles on a straight line and sum to 180°
∠ 2 + 118° = 180° ( subtract 118° from both sides )
∠ 2 = 62°