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.
Write the sphere in standard form. 4x2 + 4y2 + 4z2 − 24x + 16y = 1
Answer:
(x -3)^2 +(y +2)^2 +z^2 = 13.25
Step-by-step explanation:
Divide by 4 and complete the squares.
x^2 -6x +y^2 +4y +z^2 = 1/4
(x^2 -6x +9) +(y^2 +4y +4) +z^2 = 13 1/4
(x -3)^2 +(y +2)^2 +z^2 = 13.25
Q1 (a) A random variable X has the following probability function: Х O 1 2 3 4 5 and P(x) 0 k 2k 2k 3k 5k
(i) Determine the value of "k"
(i)Find P(1.5 < X < 4.5/ X > 2)
Answer:
(i) It is known that the sum of probabilities of a probability distribution of random variables is one.
∴0+k+2k+3k+k
2
+2k
2
+(7k
2
+k)=1
⇒10k
2
+9k−1=0
⇒(10k−1)(k+1)=0
⇒k=−1,
10
1
k=−1 is not possible as the probability of an event is never negative.
∴k=
10
1
(ii) P(X<3)=P(X=0)+P(X=1)+P(X=2)
=0+k+2k
=3k
=3×
10
1
=
10
3
(iii) P(X>6)=P(X=7)
=7k
2
+k
=7×
10
1
2
+
10
1
=
100
7
+
10
1
=
100
17
(iv) P(0<X<3)=P(X=1)+P(X=2)
=k+2k
=3k
=3×
10
1
=
10
3
x+3y=-5
4. Tyler and Han are trying to solve this system by substitution:
Tyler's first step is to isolate x in the first equation to get x = -5 - 3y. Han's first step
is to isolate 3y in the first equation to get 3y = -5 - X.
Show that both first steps can be used to solve the system and will yield the same
solution.
Answer:
Tyler's - (-5 - 3y) + (3y) = -5
Han's - (x) + (-5 - x) = -5
Step-by-step explanation:
If we are going to use Tyler's first step then we would use x = - 5 - 3y and substitute it in the original simultaneous equation x + 3y = -5, becoming (-5 - 3y) + (3y) = - 5 giving an exact answer of - 5.
But if we are using Han's first step then we will still substitute into the original simultaneous equation but in 3y. It would become
x + (-5 - x) = - 5 which also gives us an exact answer of -5.
Thus proving that both first steps show the same solution of -5.
10. A wedding reception bartender is faced with a problem: how many litres of fruit juice must be
mixed with 4 litres of a 24% flavoured rum to make a rum punch of 8% strength?
9.14 liters of fruit juice must be mixed with 4 liters of a 24% flavored rum to make a rum punch of 8% strength.
To determine how many liters of fruit juice must be mixed with 4 liters of a 24% flavored rum to make a rum punch of 8% strength, the following calculation must be performed:
(4 x 24 + 4) / 8 = 12.5 (4 x 24 + 8) / 12 = 8.66 (4 x 24 + 9) / 13 = 8.07 (4 x 24 + 9.14) / 13.14 = 8
Therefore, 9.14 liters of fruit juice must be mixed with 4 liters of a 24% flavored rum to make a rum punch of 8% strength.
Learn more about maths in https://brainly.com/question/25865591
if you multiply the number of cars in the parking lot by 4 there would be 32 cars how many cars are in the lot?
Answer:
8
Step-by-step explanation:
there would be 8 cars in the parking lot
1 minute is equal to 60 seconds. How many seconds are in 3 minutes, 37 seconds?
Answer:
217 seconds
Step-by-step explanation:
3 minutes = 180 seconds
180 seconds + 37 seconds = 217 seconds
Find BC.
А В
С
ош
=
=
AD = 10.5
AB = 2
СЕ = 11.5
AE = 15
BC = [?]
=
Answer:
8,5
Step-by-step explanation:
BC=AD-AB
BC=10,5-2
BC=8,5
Need help. I don't understand this question.
Answer:
The first is 1 and the second is 28 i believe
Step-by-step explanation:
Hope this helps:)
find the value of x
[tex]\large\huge\green{\sf{Answer:-}}[/tex]
<AEC =X°
first draw line passing with Eand then ,now<EAB = 116°
the by (consecutive)
180 = <EAB + <1
<1 = (180 - 116 )
<1=. 64°
now second step,<ECD = 124°
then ,180 = <ECD + <2
<2= (180 - 124)
<2= 56°
= Now add <1 + <2
= (64+ 56)°
➡x° = 120°
Answer:
Solution given:
Construction:
EF parallel to AB and CD is drawn.
let suppose <AEF=a
and
<CEF=b
now
<EAB+<EAB=180°[being co interior angle]
116°+a=180°
a=180°-116°=64°
again
<DCE +<CEF=[being co interior angle]
124°+b=180°
b=180°-124°
b=56°
Now
we know
x=a+b=64°+56°=120°
Value of x is 120°
Nicole got a prepaid debit card with $25 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the
ribbon was 22 cents per yard. If after that purchase there was $17.52 left on the card, how many yards of ribbon did Nicole buy?
Answer:
34 yards of ribbon
Step-by-step explanation:
If you will subtract the $17.52 to $25 you will get 7.48 then 7.48 divide to .22 you will get 34 as the answer
IF YOU GET THIS RIGHT YOU GET BRAINLIEST
Tasha has a collection of trading cards. the collection contains 70 cards. she gives 25 of her cards to her friend brad. she gives 10% of her cards to her nephew, she sells 25 cards online. how many cards remain in Tasha's trading card collection
Answer:
13
Step-by-step explanation:
25 x 2 = 50. 10% of 70 equals 7. 50 + 7 = 57. 70 - 57 = 13.
Cards given to her friend brad + cards sold online = cards givin
25+25=50
Amount of cards + cards givin = amount left
70-50=20
10% of 20=2
20-2=18
Tasha has 18 left
Hope this helps
A quadratic function and an exponential function are graphed below. How do the decay rates of the functions compare over the interval -2<= x <= 0?
The exponential function decays at one-half the rate of the quadratic function.
The exponential function decays at the same rate as the quadratic function.
The exponential function decays at two-thirds the rate of the quadratic function.
The exponential function decays at three-fourths the rate of the quadratic function.
Answer:
×e[-2,0}Why;-2<x<0
Write the compound inequality in interval rotationso the answer is;×e[-2,0}brainliest me thanks for later
Answer:
D) The exponential function decays at three-fourths the rate of the quadratic function.
Step-by-step explanation:
Geometric Applications: For the next three questions, use the information below:
A rectangle has a side with a length of 8ft and a width of (2x+4)ft.
Label the rectangle
15 pts
a) Find the perimeter of the Rectangle:
b) Find the area of the rectangle:
c) If the total Area is 80 square feet, find the width in feet.
Answer:
a)Perimeter= 2(8+2x+4)
=(24+4x)ft
b)Area= 8(2x+4)
=(16x+32)square ft
c)16x+32=80
x=3
width= 2x+4 = 2(3)+4 =10ft
The radius of a circle is 2.5 centimeters (cm).
What is the circumference of the circle?
Answer:
15.7 cm to nearest 10th
Step-by-step explanation:
Circumference = 2 pi r = 2 pi 2.5
= 5 * pi
= 15.708 cm.
Please help and I have to do this as soon as possible
Answer:
60
Step-by-step explanation:
→ Work out the change in distance
160 - 40 = 120
→ Work out the change in time
3 - 1 = 2
→ Apple speed = distance over time
120 ÷ 2 = 60
3. Find the area of the trapezoid.
8 ft
4V3
10 ft
Answer:
[tex]32\sqrt3[/tex]
Step-by-step explanation:
We need first to find the measure of the red horizontal line, call it x. The triangle i filled is a right triangle, so we can apply pythagoras theorem,
[tex]8^2 = x^2+(4\sqrt3)^2 \rightarrow 64=x^2+(16\times3) \\x^2=64-48 \rightarrow x^2=16 \rightarrow x=4[/tex]
(we are talking lengths of segment so we take only the positive root!)
At this point we can find the length of the smaller base of the trapezoid (which is [tex]10-4=6[/tex]) and apply the formula, or split the figure in a rectangle of sides 6 and [tex]4\sqrt3[/tex] and a triangle of sides [tex]4\sqrt3[/tex] and 4.
With the trapezoid formula
[tex]A=\frac12(B+b)h = \frac12(10+6)4\sqrt3 = 32\sqrt3[/tex]
With the sum of figures:
[tex]A= bh+\frac12 xh=6\times4\sqrt3 +\frac12\times4\times4\sqrt3=24\sqrt3+8\sqrt3=32\sqrt3[/tex]
expand and simplify 3(5x+1)+5(5x-4)
Answer:
40x-17
Step-by-step explanation:
Which relation is a function?
Answer:
D is a function.
Step-by-step explanation:
cause the line is related to both x and y
The relation that represents a function is the relation (d)
Checking the relations that are functionsFrom the question, we have the following parameters that can be used in our computation:
The relations (1) to (4) represent the given parameter
Next, we test the options
Relation (1)
This relation is not a function
This is because it fails the vertical line test i.e. some output values all point to the same input value,
Relation (2)
This relation is not a function
This is because it fails the vertical line test i.e. some output values all point to the same input value,
Relation (3)
This relation is not a function
This is because it fails the vertical line test i.e. some output values all point to the same input value,
Relation (4)
This relation is a function
This is because the inputs all point to different output values
Hence, the relation that is a function is graph (d)
Read more about functions at
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I need Help please ASAP!!!!
Please
Please
Answer:
1.8?
Step-by-step explanation:
Answer:
its 1 4/5 your welcome
Step-by-step explanation:
Zachary is going out with his friends to see
a movie and shop. He has $32 and the
movie will cost $7.25. Write and solve an
inequality to find how much money
Zachary can spend shopping.
Answer:
7.25 + S ≤ 32
Step-by-step explanation:
Our initial value is 7.25, and that is to watch the movie. Next, the absolute max he can spend is 32, or he would have negative money, which he cannot have. Therefore, we use the ≤ sign and point it as 32, to show that it must be less than or equal to our total of 32. Then, we can represent the money they spend on shopping with s
What is the measurement of ADB?
A. 90
B. 95
C. 105
D. 145
Answer:
C)105
Step-by-step explanation:
sizde benim sorduğum soruları cevaplarsanız sevinirim doğru ve hızlı bir şekilde
Good evening my daughter needs help with the following. thank you
Answer:
3 x 9 = 3 x (5 + 4)
= 15 + 12
= 27
Step-by-step explanation: First you split 9 into 2 parts and ask what plus what equals 9? 5 + 4 = 9 so you got the first equation 3 x (5 + 4).
Then 3 x 5 = 15 and 3 x 4 = 12 so you got the equation 15 + 12 = 27
In 2004 5,545 woman were participating in college lacrosse and in 2008 6,830 woman joined was is the rate of change
Answer:
321.25 per year
Step-by-step explanation:
In 2004 they had 5,545
In 2008 they had 6,830
Subtract them both and you get 4 years, 1285 people
Divide 1285 by 4 and get 321.25 per year.
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
Plz help and explain plz
Answer:
-3/7x +6
Step-by-step explanation:
1/7x +9 -4/7x -3
Combine like terms
1/7x -4/7x +9-3
-3/7x +6
Determine the value of x for the following equation: 9(x + 2) = 72
Answer:
[tex]x=6[/tex]
Step-by-step explanation:
So, first we divide the equation by 9 on both sides to get: [tex]\frac{9\left(x+2\right)}{9}=\frac{72}{9}[/tex]
Then, we simplify to get [tex]x+2=8[/tex]
Now, to leave x alone we subtract 2 from both sides ([tex]x+2-2=8-2[/tex]) to get our final answer of [tex]x=6[/tex]
brainliest pls
PrOblem 1: Find the slope of the line containing the points: (3,-5) and (-1, -2)
Problem 2: Find the x and y intercepts of the line: 2x – 3y = 12
Problem 3: Graph the line x-4y=8
Answer:
1) -3/4
2) (6, 0), (0, -4)
3) connect (0,-2) and (8,0) together
Step-by-step explanation:
1) (-2) - (-5) / (-1) - 3 = -3/4
2) x = 0 -3y=12 y = -4, y= 0 2x = 12 x = 6, x intercept = (6, 0) y intercept = (0, -4)
3) x - 4y = 8 this could be written as y = x/4 - 2 and y intercept is (0, -2) and x intercept is (8, 0) so connect these points together and make a line
#1
m=y2-y1/x2-x1m=-2+5/-1-3m=3/-4#2
Inetercept form x/a+y/b=1
2x-3y=122/12x-3/12y=12/12x/6-y/4=1x inetercept at 6 and y intercect at -4
#3
Graph attached
In a newspaper, it was reported that the number of yearly robberies in Springfield in 2011 was 250, and then went up by 20% in 2012. How many robberies were there in Springfield in 2012?
Which costs the least per can, a 24 pack of cola for 5.52,a 12 pack of cola for 2.64 or a 6 pack of cola for 1.35
Answer:
It would be the 12 pack of cola for 2.64
Step-by-step explanation:
2.64/12 = 0.22
5.52/24 = 0.23
1.35/6 = 0.225
Round 0.225 = 0.23
Subtract 8−2x from 3−6x . Enter your answer by filling in the boxes. $$
Answer:
-4x-5
Step-by-step explanation:
(3-6x)-(8-2x) = 3-8+2x-6x = -4x - 5