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.
6+√27/4-√3 can be written in the form r +s√3/13
where are both r and s integers
what are the values of r and s
[tex]r = \left(\dfrac{33}{13}\right)[/tex]
[tex]s = \left(\dfrac{10}{13}\right)[/tex]
Step-by-step explanation:
Let's multiply and divide the given fraction by the conjugate of the denominator:
[tex]\dfrac{6+\sqrt{27}}{4-\sqrt{3}}×\dfrac{4+\sqrt{3}}{4+\sqrt{3}}[/tex]
[tex]\;\;\;\;= \dfrac{24 + 6\sqrt{3} + 4\sqrt{3} + \sqrt{27}\sqrt{3}}{13}[/tex]
[tex]\;\;\;\;=\frac{1}{13}(24 + 10\sqrt{3} + \sqrt{81})[/tex]
[tex]\;\;\;\;=\frac{1}{13}(33 + 10\sqrt{3})[/tex]
[tex]\;\;\;\;=\left(\dfrac{33}{13}\right) + \left(\dfrac{10}{13}\right)\dfrac{\sqrt{3}}{13}[/tex]
We can see here that
[tex]r = \left(\dfrac{33}{13}\right)[/tex]
[tex]s = \left(\dfrac{10}{13}\right)[/tex]
The value of the variable 'r' and 's' will be 33 and 18, respectively.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The two equations are given below.
(6 + √27) / (4 - √3) and (r + s√3) / 13
Simplify the expression (6 + √27) / (4 - √3), then we have
[tex]\rightarrow \dfrac{6 + \sqrt{27}} { 4 - \sqrt3} \times \dfrac{4 + \sqrt3} { 4 + \sqrt3} \\\\[/tex]
⇒ [(6 + 3√3)(4 + √3)] / (4² - 3)
⇒ [(24 + 6√3 + 12√3 + 9)] / (16 - 3)
⇒ (33 + 18√3) / 13
Compare the expression (33 + 18√3) / 13 with (r + s√3) / 13, then the value of r and s will be given as,
r = 33
s = 18
The value of the variable 'r' and 's' will be 33 and 18, respectively.
More about the Algebra link is given below.
https://brainly.com/question/953809
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How much momentum does a 50 kg mass moving west at 10 m/s have?
Answer:
(a) 500 kg·m/s west
Step-by-step explanation:
Momentum is the product of mass and velocity.
p = mv
p = (50 kg)(10 m/2 west)
p = 500 kg·m/s west
To convert from Standard Form to Slope-Intercept Form the strategy is to solve for which variable?
b
m
y
x
Answer: y
Step-by-step explanation:
Slope intercept form is written as
Y=mx+b, so you’d solve for the variable y
Help help help help math
The ratio of the measures of the sides of a triangle is 5:7:8. Find the measures of each angle in the triangle.
Answer:
45°, 63°, 72°
Step-by-step explanation:
The sum of ratio units is 5+7+8=20, so each stands for 180°/20 = 9° of angle. Multiplying the ratio values by 9° gives the angle values:
45° : 63° : 72°
Please answer this question IT IS NOT AVTEST DONT TRY TO DELETE IT.
Find the disFind the distance between the points P and Q shown.
tance between the points P and Q shown below
Step-by-step explanation:
I am sorry but please give detailed question
Which of the following is most likely the next step in the series?
A.
B.
C.
D.
Each consecutive element of the series has one less blue points than the before element, with that, we conclude that the correct option is D, where there is only one blue point.
Which of the following is most likely the next step in the series?
Here we can see a series of 3 elements.
the first element is a circle with 4 blue points on its circumference, such that the points are connected to form a rectangle.
The next element is a circle with 3 blue points on it, such that when the points are connected a triangle is formed.
The third element is a circle, this time with 2 points, and the connection forms a segment.
So what we can see is that in each consecutive element the number of blue points on the circumference of the circles decreases by one, so the logical conclusion is that the next element will have only one point on its perimeter, then the correct option is D, where we can see only one blue point on the perimeter of the circle.
Learn more about series:
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Find m
∠
F
E
D
∠FED. This question is going to be 20 points
Answer:
the answer is : 180° - (61° +61°) = 58°
Help help math math math
Answer:
10
Step-by-step explanation:
substitute -8 into x.
f(-8)=-8+18=10
Answer:
10
Step-by-step explanation:
Solve each inequality 3+1/2(3-x)<_7
Answer:
x > 5
Step-by-step explanation:
multiply the fractions, break up the fraction, group like terms, convert integer into a fraction, combine the fraction, combine the numerator, etc. hope this helps.
What functions have a range of {y £ R | -
Answer:
the second and the fourth have a range of real no
The formula for finding the perimeter of a rectangle is P = 2L + 2W. If a rectangle has a perimeter of 68 inches and the length is 14 inches longer than its width, find the width.
Enter a number answer only.
Answer:
Width = 10 inches
Step-by-step explanation:
Given the perimeter of a rectangle of 68 inches, and a length that is 14 inches longer than its width.
We can establish the following values to help us solve for the width of a rectangle:
Perimeter (P) = 68 inches
Length (L) = 14 + W inches
Width (W) = unknown
Solve for the Width (W)P = 2(L + W) ⇒ This is the same as P = 2L + 2W, except that 2 is factored out from the right-hand side.
Divide both sides by 2:
[tex]\displaystyle\mathsf{\frac{P}{2}\:=\:\frac{2(L\:+\:W)}{2}}[/tex]
[tex]\displaystyle\mathsf{\frac{P}{2}\:=L\:+\:W}[/tex]
Substitute the value of the Perimeter and the length (L) into the formula:
[tex]\displaystyle\mathsf{\frac{68}{2}\:=14\:+W\:+\:W}[/tex]
Combine like terms on the right-hand side, and simplify the left-hand side of the equation:
[tex]\displaystyle\mathsf{34\:=14\:+2W}[/tex]
Subtract 14 from both sides:
34 - 14 = 14 - 14 + 2W
20 = 2W
Divide both sides by 2 to solve for the width (W):
[tex]\displaystyle\mathsf{\frac{20}{2}\:=\:\frac{2W}{2}}[/tex]
W = 10 inches
Therefore, the width of the rectangle is 10 inches.
Double-check:Verify whether the derived value for the width is correct:
P = 2L + 2W
68 = 2(14 + 10) + 2(10)
68 = 2(34) + 20
68 = 48 + 20
68 = 68 (True statement).
Thus, the length of the rectangle is 34 inches, and the width is 10 inches.
Write and solve an absolute value inequality.
18. Students are guessing the number of jelly beans in a jar. Each student who guesses
within 15 of the correct amount will win a prize. The correct amount of jelly beans in the
jar is 389. Write and solve an absolute value inequality to represent this situation.
Express your solution as a compound inequality.
Compound inequalities are used to combine several inequalities
The solution as a compound inequality is [tex]374<x <404[/tex]
Assume the correct amount of jelly beans in the jar is x.
15 away from x can be represented as 15 - x or x - 15
The correct number of jelly beans is given as 389.
So, when the statement is represented as an absolute inequality, we have:
[tex]|x - 15| < 389[/tex]
Express as compound inequality:
[tex]389 - 15<x <389 + 15[/tex]
Evaluate like terms
[tex]374<x <404[/tex]
Hence, the solution as a compound inequality is [tex]374<x <404[/tex]
Read more about compound inequalities at:
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Helppp! I dont completly get the conceptttt
Write the phrase "one more than the product of six and nine" as a mathematical expression.
Answer:
6.9+1
Step-by-step explanation:
hope it helps
[tex]\huge\mathfrak\blue{ ☃ }[/tex]
Answer:
the product of six and nine is fifty five
Which of the following is a proper fraction? A7001/6 B 9/4 C 31/99 D3/2
Answer:
31/99
Step-by-step explanation:
Becuase the numerator is lesser than the denominator
Answer:
C. 31/99
Step-by-step explanation:
It's C because a proper fraction is a fraction with a numerator that is less that it's denominator in its lowest terms
Which of the following equations describes the graph shown above
Answer: D
Step-by-step explanation:
this is in y=Mx+ b form. M stands for the slope and b stands for the y intercept, or where the line intersects with the y-axis.
Going left to right, the line slopes downwards, therefore it is a negative Slope. This narrows down your answer to either a or d. the slope is -1 because you can only ever write x by itself if it means 1x. In this case it is negative so it would look like this: -x
for the y-intercept, simply look at where the line passes through the y-axis. In this case, it is positive 2.
your finished equation would be: y=-x+2
i hope this is helpful
Find the perimeter of a regular polygon with an interior angle of 90° and side length 3.5 ft.
Please be accurate and explain.
Answer:
p=14 ft
Step-by-step explanation:
The figure that meets these conditions is the square
The perimeter:
4(3.5) = 14 ft.
Hope this helps
Help help help help math math
Answer:
y = -2x - 1
See image
Step-by-step explanation:
The "slope-intercept" form of the equation is the
y = mx + b form
So you need to find the slope (m) and the y-intercept (b), which you are able to find on the image in the question.
Slope (m) tells how steep a line is and whether it goes up or down from left to right. It also works just like directions, from any point on the line to any other point on the line.
The y-intercept (b) is the point on the line where the line crosses the y-axis.
The slope is -2 and the y-intercept is -1
So the equation is
y = -2x - 1
See image
a dogs hair grew 2 1/2 inches in 12 1/2weeks how long will the hair grow in 1 week?
Answer:
0.2 inches
Step-by-step explanation:
12.5 weeks = 2.5 inches
1 week = p inches
Cross multiply
12.5p = 2.5
Divide both sides by 12.5
p = 2.5 / 12.5
p = 0.2 inches
Hence, the length grown in 1 week is 0.2 inches
Hope I Helped You:)
Write an equation in standard form for the line that passes through (-1, -2) and (3, 0).
HELP!!!! PLEASE NO LINK SCAM THO
Which graph shows all natural numbers less than 3?
OA)
-4 -3 -2 -1
+
4
o
1
2
3
+
+
OB) -4 -3 -2 -1
+
2 3
o
1
4
+
+
OC) -4 -3 -2 -1
+ +
2 3 4
o
1
OD)
-4 -3 -2 -1
+ +
+
0 1 2 3 4
Answer: C
Step-by-step explanation:
Answer:
The Answer Is B
Step-by-step explanation:
Math isn't really my thing, so if you could help I would really, really appreciate!!
Answer:
1. 0.25
2. 105-40
3. 0.375
4. 0.5
5. 0.4 same as the number 6
Step-by-step explanation:
i hope it helpful i guess?
Sin(180-A)/tan(180-A) × cot(90-A)/tan(90+A) × cos(-A)/ cos(270-A) Please solve
so tan = me sun bathing for 2.5 second
6(25-8w)+20w for w=2
150−28w
i think i dont know
work out the volume of the cone giving your answer to 3 significant figures 7cm 24cm 25cm
Answer:
1230
Step-by-step explanation:
[tex]\frac{\pi }{3}[/tex] x 49 x 24 = 1230 cm^3
What is the slope of the line that passes through the points (4,1) and (6, 2)?
Answer:
1-2
Step-by-step explanation:
honestly idek what this stuff is I just need points
You have been assigned to determine whether more people prefer Coke or Pepsi. Assume that roughly half the population prefers Coke and half prefers Pepsi. How large a sample do you need to take to ensure that you can estimate, with 95% confidence, the proportion of people preferring Coke within 3% of the actual value?
You have to add.
Step-by-step explanation:
I'm trash at math.
Which equation best matches the graph shown below?
Answer:
B
Step-by-step explanation:
because it is actually move to right
Answer:
y= -3(x+1)(x+3)
Step-by-step explanation:
the lowest coordinate of it is -3 and the x-coordinates are 1 and 3