4(4 – 12x) – 2(x – 12) + 5x = –50?
The value of x of the given equation is 2.
What is equation?
An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.
Given:
The given equation is
4(4 – 12x) – 2(x – 12) + 5x = –50
We have to find the value of x.
According to given question we have
4(4 – 12x) – 2(x – 12) + 5x = –50
Rearrange terms we get,
4(– 12x+4) – 2(x – 12) + 5x = –50
Distribute we get,
-48x+16-2x+24+5x=-50
Compare the like terms we get,
-45x=-50-40
-45x=-90
x=2
Therefore, the value of x of the given equation is 2.
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Please help - thanks
Insert parentheses in the appropriate places:
8+ 3-2 ×9 =17
28 ÷ 4+3 × 4+3 =28
5× 3+2 ×6 ÷3 =50
6× 9-4 +3-3 ×4=30
5 ×3+2× 6÷3 =19
5× 3+2×6 ÷3 =25
Answer:
the answer is 27
Step-by-step explanation:
PLEASE HELP ME ITS DUE IN 10 MINUTES (I'm in 5th BTW!!!)
Answer:
1st box: 2000
2nd box: 1
3rd box: 22.99
4th box: 0.11
5th box: 23
Step-by-step explanation:
It's simply splitting up the 2000 and 1, and then diving them by 87 each.
After that you can divide them and round to the nearest 10th, and add them to get 23.
24-{[16-(8-1)]×2 please answer
Answer:
4
Step-by-step explanation:
It look like your are missing a bracket.
Do the inner most parentheses first.
24 -(16 -(7))x2
24 - 9 x 2
24 -18
4
coach ferguson uses a thermometer to measure the temperature (in degrees fahrenheit) at 20 different locations in the school swimming pool. an analysis of the data yields a mean of 77 degrees fahrenheit and a standard deviation of 3 degrees fahrenheit. recall that ∘c
1) The standard deviation of the temperature readings in degrees Celsius is 1.66° C.
2) The mean and standard deviation of Ferguson tip distribution is 1.1 and 0.3 respectively.
1) Let, X be the temperature in Fahrenheit and Y be the temperature in Celsius.
Mean = 77° F
[tex]77^\circ \ F=\frac{5\times77}{9}-\frac{160}{9}[/tex]
[tex]= 25^{\circ}C[/tex]
Variance in Fahrenheit is [tex]3^2=9[/tex]
[tex]Var(aX+b)=a^2VarX[/tex]
Here, [tex]a=\frac{5}{9}[/tex] and [tex]b=-\frac{160}{9}[/tex]
[tex]Var(Y)=\frac{25}{81}\times9[/tex]
[tex]=2.77[/tex]
Standard deviation [tex]= \sqrt{Var(X)[/tex]
[tex]= \sqrt{2.77}[/tex]
[tex]= 1.66^{\circ}[/tex]
2) Let, X be the cost of them meal and Y be the tip he gives.
[tex]Y=2+0.1X[/tex]
[tex]E[X]=9, Var[X] = 9[/tex]
Therefore,
[tex]E[Y]=E[2+0.1X][/tex]
[tex]=0.1E[X]+2[/tex]
[tex]=0.1\times9+2[/tex]
[tex]=1.1[/tex]
[tex]Var[Y] = 0.12Var[X] = 0.01\times9=0.09[/tex]
Standard deviation of [tex]Y = \sqrt{Var[Y]}[/tex]
[tex]= \sqrt{0.09}[/tex]
[tex]= 0.3[/tex]
Therefore,
1) The standard deviation of the temperature readings in degrees Celsius is 1.66° C.
2) The mean and standard deviation of Ferguson tip distribution is 1.1 and 0.3 respectively.
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"Your question is incomplete, probably the complete question/missing part is:"
Coach Ferguson uses a thermometer to measure the temperature (in degrees Fahrenheit) at 20 different locations in the school swimming pool. An analysis of the data yields a mean of 77 degrees Fahrenheit and a standard deviation of 3 degrees Fahrenheit. Recall that [tex]C^{\circ}=\frac{5^{\circ}F}{9} -\frac{160}{9}[/tex]. What is the mean temperature reading in degrees Celsius? What is the standard deviation of the temperature readings in degrees Celsius? When Sam goes to a restaurant, he always tips the server $2 plus 10% of the cost of the meal. If Sam's distribution of meal costs has a mean of $9 and a standard deviation of $3, what are the mean and standard deviation of his tip distribution?
b.a slug takes 4.25 minutes to travel 11.2 centimeters. what is the speed of the slug in meters per second? predicted number of significant digits in answer: 2 or 3 answer value: actual number of significant digits:
Answer:
0.00375 meters per second,
Step-by-step explanation:
0.00375 meters per second, we know this is the answer because, 4.25*60=255 and 255/11.2=0.00375
Which equation represents a line through (4, -6) and (0, 2)?
Answer: C
Step-by-step explanation: Substitute four and zero in each of the choices and see if the sum becomes negative six and two, respectively. If it does, then the equation represents the line.
Third equation substitution:
x = 4
y = -2(4) + 2
y = -8 + 2
y = -6
x = 0
y = -2(0) + 2
y= 0 + 2
y = 2
Therefore, the answer is C.
Note: I skipped to the third equation because the other equations are false.
help pls its algebra quick
Answer:
B
Step-by-step explanation:
Graph is positive and y intercept is on negative 2.
Which of the following ordered triples is the solution to the system of equations?
2x − y − z = −1
3x + y − z = 2
x + y − 5z = −8
Answer:
1,1,2
Step-by-step explanation:
The solution to the given system of equations are:{ x = 1, y = 1, z = 2} which is the corrrect answer would be option (A).
What is an equation?The equation is defined as a mathematical statement with at least two terms that contain variables or values that are equal.
We have been given the system of equations as:
2x − y − z = −1
3x + y − z = 2
x + y − 5z = −8
Isolate the term of x in the equation 2x − y − z = −1, and we get
x = (- 1 + y +z)/2
Substitute the value of x = (- 1 + y +z)/2 in the above both equations,
3(- 1 + y +z)/2 + y − z = 2
(- 1 + y +z)/2 + y − 5z = −8
Simplify the equation to you get,
(5y + z - 3) / 2 = 2
(3y - 9z - 1) / 2 = -8
Isolate the term of y : (5y + z - 3) / 2 = 2 ⇒ y = (-z +7 )/5
Substitute the value of y = (-z +7 )/5 in the equation (3y - 9z - 1) / 2 = -8
(3(-z +7 )/5 - 9z - 1) / 2 = -8
Simplify the equation to you get,
8(-3z + 1)/d = -8
Isolate the term of z : 8(-3z + 1)/d = -8 ⇒ z = 2
Substitute the value of z = 2 in the equation y = (-z + 7) / 5 to simplify to get
⇒ y = 1
Substitute the values of y = 1 and z = 2 in the equation x = (-1 + y + z) / 2 to simplify to get
⇒ x = 1
The solution to the given system of equations are:
{ x = 1, y = 1, z = 2}
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Describe at least two differences between constructing an inscribed regular hexagon and constructing an inscribed square.
100 points and brainliest
There are some differences in the process of constructing a inscribed square and a hexagon inside a circle.
When constructing a square, we start with a circle. Then draw its diameter through the center of the circle. Now putting compass on end points of this diameter, measuring more than half the length of diameter on the compass, draw 4 arcs above and below the diameter. So we get a perpendicular bisector of the diameter. In total, we get 4 points on the circle. Joining the adjacent points, we get the inscribed square.
When constructing the regular hexagon, start drawing a circle. Put the compass on a point on the circle and measure the radius on it. Now draw an arc on the circle. Putting compass on this new point on the circle draw another arc. Continuing like this, we get a total of 6 arcs giving 6 points on the circle. Join the adjacent points to get an inscribed regular hexagon.
So the differences in constructing the square and the regular hexagon are:
Diameter is used in square whereas radius is enough for the regular hexagonPerpendicular bisector is constructed for square while regular hexagon does not need one.For a square,4 arcs giving 4 points on the circle are needed. But for a regular hexagon 6 arcs giving 6 points are there.Learn more about inscribed shapes at https://brainly.com/question/21502832
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What is the area, in square meters, of the shape below? Express your answer as a fraction in simplest form.
Area = 5/12 m².
For image see the attachment below-
Area of Triangle - A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon. The above figure is a triangle denoted as △ABC. Some real-life examples of triangles include sandwiches, traffic signs, cloth hangers, and a rack in billiards.
The basic formula to find the area of a triangle is,
Area of triangle = 1/2 (b × h);
where b = base and
h = height of the triangle.
Now , we have been given that -
Base =5/3 m
Height = 1/2 m
Find out area of the triangle .
The area of a triangle = 1/2 x base x height
Put the values in formula
area of a triangle = 1/2 x 5/3 x 1/2
area of a triangle = (1x5x1)/ (2x3x2)
area of a triangle = 5/12 m².
Hence, the area in square meters of the given shape is 5/12 .
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Which numbers are a distance of 3 units from 12 on a number line?
Select each correct answer.
Answer:
9 and 15
Step-by-step explanation:
ans should be 9 and 15
i dun really understand what this qns wants u to find really bad qns to test
WRITING A quadratic function is increasing on (- ∞ ,2) and decreasing on (2, ∞). Is the vertex the highest or lowest point on the parabola? Explain.
The vertex of the parabola of the quadratic function that is increasing in the interval (-∞, 2), and decreasing in the interval (2, ∞), is the highest point on the parabola.
How can the type of vertex be found from the description of the quadratic function?The given description of the quadratic function is presented as follows;
The interval the function is increasing = (-∞, 2)
The interval the function is decreasing = (2, ∞)
The graph of the function is therefore increasing from -∞ up to the point just before 2.
The graph of the function is decreasing from the point just after 2 to infinity.
The point 2 is therefore the highest point of the graph and also, the vertex of the quadratic function.
Therefore;
The vertex of the parabola of the quadratic function is the highest pointLearn more the graph of a quadratic function here:
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find the area of a cylinder with a height of 8 inches and base radius of 4 inches
Solve the literal equation for x.
13. x + 5y = 2
14. 2x + 5 = 12y + 9
Answer:
x=2
Step-by-step explanation:
You would use substitution. In which x =-5y +2 and x = 6y+2. -5y + 2 = 6y + 2. So would solve for y value then plug it into the equation to solve x.
The Daily Smile store sells bouquets in which 2 out of 5 are white. How many total daisies are there if 8 daisies are white?
please help question is in the image!
x1 = 4 x2 = -4
substitute the values into the given equations!!
(4 + (-4)) / 2 = (0 / 2) = 0
y1 = -5 y2 = 5
(-5 + 5) / 2 = (0 / 2) = 0
midpoint = (0, 0)
bold values - box answers :D
The square below represents one whole. What percent is represented by the shaded area?
Answer:
29%
Step-by-step explanation:
There are 100 boxes. 29 of them are shaded in, so we can divide that by 100.
29/100=0.29
0.29 is equal to 29%
A shop displays a total of 50 type A and type B mice. The cost of a type A mouse is $6 and that of a type B mouse is $13. If the total cost of all 50 mice is $433, find the number of type A mice displayed. The answers is 31
work out the value of (3.5 x 10^6) ÷ (5 x 10^-3) give your answer in standard form.
The standard form of (3.5 x 10^6) ÷ (5 x 10^-3) is 7*10^8
What is standard form?Any number that we can write as a decimal number, between 1.0 and 10.0, multiplied by a power of 10, is said to be in standard form.
Given:
(3.5 x 10^6) ÷ (5 x 10^-3)
On further solving
3.5 * 10^(6 -(-3)) / 5
3.5* 10^9 /5
0.7 * 10^9
7*10^8
Hence, the standard form is 7*10^8.
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how to solve if 5a=6 and 7b=8, 35ab=
(please explain, i need explaination)
Answer:
35ab = 48
Step-by-step explanation:
given
5a = 6 ( divide both sides by 5 )
a = [tex]\frac{6}{5}[/tex]
and
7b = 8 ( divide both sides by 7 )
b = [tex]\frac{8}{7}[/tex]
substitute these values for a and b into the expression and simplify
35ab
= 35 × [tex]\frac{6}{5}[/tex] × [tex]\frac{8}{7}[/tex] ( divide 35 and 5 by 5 )
= 7 × 6 × [tex]\frac{8}{7}[/tex]
= 42 × [tex]\frac{8}{7}[/tex] ( divide 42 and 7 by 7 )
= 6 × 8
= 48
laura runs a 100 m race in 20.0 s. what is her time in kiloseconds ? how long is the race in kilometers
Laura runs for 0.02 kiloseconds
The race is 0.1 kilometers
How to convert to kiloseconds and kilometers ?The first step is to convert 20 seconds to kiloseconds
= 20/1000
= 0.02 kiloseconds
The next step is to calculate the distance in kilometers
Convert 100 meters to kilometer
= 100/1000
= 0.1 km
Hence the race is 0.1 kilometers
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Write 6.42 as a mixed number in simplest form.
6.42=
Answer:
6 [tex]\frac{21}{50}[/tex]
ill give uu crown if you answer this for me
Answer:
Given,points (0,3)and(10,8)
Step-by-step explanation:
slope(m)=
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
=
[tex] \frac{8 - 3}{10 - 0} [/tex]
=
[tex] \frac{5}{10} [/tex]
=
[tex] \frac{1}{2} [/tex]
The slope is 1/2.
If the answer is correct please mark brainliest
The man has 2 he loses one how many does he have left
Answer:
1
Step-by-step explanation:
If a person has 2 apples and gives someone 1 which is 2-1=1
cos x + sin x tan x = sec x
Answer:
Dear Friend
To prove the given equation
Which algebraic expression is equivalent to the expression below?
4(4x + 5) + 4(11 - x)
A.
20x + 64
B.
12x + 24
C.
12x - 64
D.
12x + 64
Answer:
D. 12X + 64
Step-by-step explanation:
4(4x+5)+4(11-x)
4(4x+5)+4(11−x)
4(4x + 5) + 4(11 - x)
1 Expand by distributing terms.
16x+20+4(11-x)
16x+20+4(11−x)
2 Expand by distributing terms.
16x+20+44-4x
16x+20+44−4x
3 Collect like terms.
(16x-4x)+(20+44)
(16x−4x)+(20+44)
4 Simplify.
12x+64
12x+64
Answer:
D. 12x + 64
Step-by-step explanation:
expand the brackets by multiplying:
= 16x + 20 + 44 - 4x
= 12x + 64
brainliest pls :,)
WILL GIVE YOU BRAINILEST or however you spell it
BIRDHOUSES Ebony can build 0.7 birdhouse in 1 day. How many birdhouses can she build in 10 weeks?
Step-by-step explanation:
0.7 birdhouses in 1 day.
how many in 10 weeks ?
for that we need to know how many days are in 10 weeks.
1 week = 7 days
assuming that she is working on the birdhouses also on weekends, that means 10 weeks = 10×7 = 70 days.
and that means she can build
0.7 × 70 = 49 birdhouses in 10 weeks.
now, if she works only Monday to Friday on the birdhouses, then that means
1 week = 5 days
and 10 weeks = 10×5 = 50 days.
and that means she can build
0.7 × 50 = 35 birdhouses in 10 weeks.
if there is really no other information about that, I would use the usual 7 days per week and the first solution (49).
The sum of three lengths of a fence ranges from 45 to 60 inches. Two side lengths are 9 and 18 inches. If the length of the third side is x inches, write and solve a compound inequality to show the possible lengths of the third side.
a. 9 ≤ x ≤ 18
b. 18 ≤ x ≤ 33
c. 36 ≤ x ≤ 42
d. 45 ≤ x ≤ 60
The solution to a compound inequality to show the possible lengths of the third side is 18 ≤ x ≤ 33.
What is Compound Inequality?Two or more inequalities are connected together with or or and to form a compound inequality (also known as a combined inequality).
A value must only make one aspect of an inequality true in order to be the solution to an or inequality. An inequality's solution must make both portions true in order to be effective.
According to the given values;
given parameters are
Range = 45 to 60 inches
Sides = 9, 18 and x
The sum of the three sides is
sum=9 + 18 + x
Evaluate
Sum = 27 + x
Recall that
Range = 47 to 60 inches
So, we have
45 ≤ 27 + x ≤ 60
Subtract through by 27
So, we have
18 ≤ x ≤ 33
Hence, the solution to a compound inequality to show the possible lengths of the third side is 18 ≤ x ≤ 33.
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Brooke and her mom are 21 years apart in age. The sum of their ages I'd 49. How old are Brooke and her mom
Answer: her mom is 35 and she is 14.