Answer:
[tex]x = \frac{w}{(u + r)} [/tex]
Step-by-step explanation:
ux + rx = w
x(u + r) = w
x = w/(u + r)
the dash '/' represents fraction
The required solution is x = w/(u + r).
It is required to find the value of x.
What is algebra?A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.
Given:
The given equation is
u x + r x = w
Taking common x we get,
x(u + r) = w
Divide (u + r) on both sides we get,
x = w/(u + r)
Therefore, the required solution is x = w/(u + r).
Learn more details about algebra here:
https://brainly.com/question/24875240
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Please help its due in a hour
Answer:
160
Step-by-step explanation:
because 360 is the total and 50 plus 50 is 100 subtract that by 360 and it's 160
thirty five thousand in decimals
Answer:
Its already a decimal because its no longer a fraction.
Step-by-step explanation:
35000/1 = 35000 or 35000.0
Unless you have:
35000/10 = 3500.0
35000/100 = 350.00
35000/1000 = 35.000
35000/10000 = 3.5000
and so on...
Answer:
It's already a decimal
Step-by-step explanation:
Also there is no "and" signifying the decimal point, so i can't really help, sorry
The figure shows SV intersecting plane A at point P, a right angle. Points R, T and U also lie in the plane. Which statements are true based on the figure?
Based on the figure, the statements that are true are
SV is perpendicular to TPSV is perpendicular to plane Apoint P lies on SV and in plane AThat is, the first, second and fifth statements.
From the image, we will determine the statements that are true based on the figure.
For the first statement - SV is perpendicular to TP
From the figure,
SV is a line intersecting plane A at point P, at right angle. That is, SV is perpendicular to point P. Then, SV is perpendicular to plane A since point P lies on the plane.
Also, P lies on the plane (plane A); then we can infer that TP is parallel to plane A since point T also lie on the plane (plane A).
Since, SV is perpendicular to the plane, then SV is also perpendicular to TP.
∴ The statement (SV is perpendicular to TP) is true
For the second statement - SV is perpendicular to plane A
As stated above, SV is perpendicular to point P. Since point P lies on the plane (plane A), then SV is perpendicular to plane A.
∴ The statement (SV is perpendicular to plane A) is true
For the third statement - points S, P and Q are collinear
Collinear points are points that lie on the same line.
Points S, P and Q are not collinear because, a single line cannot pass through the three points, that is, the points (S, P, and Q) do not lie on a single line.
∴ The statement (points S, P and Q are collinear) is NOT true
(From the image, an example of points that are collinear are points S, P, and V)
For the fourth statement - points R, T, and U are collinear
As explained above, points R, T, and U are not collinear because, a single line cannot pass through the three points, that is, the points (R, T, and U) do not lie on a single line.
∴ The statement (points R, T and U are collinear) is NOT true
NOTE: (The points only lie in the same plane (plane A), that is, they are coplanar)
For the fifth statement - point P lies on SV and in plane A
Since line SV intersects plane A at point P, that means point P lies in plane A. Also point P lies on line SV since it is on the line as shown in the image.
∴ The statement (point P lies on SV and in plane A) is true
For the sixth statement - points U, S, V, and Q are coplanar
Points or lines are said to be coplanar if they lie in the same plane.
Of the given points, only point U lies in plane A. Points S, V, and Q do not lie in the same plane and as well do not lie in the same plane as point U.
∴ The statement (points U, S, V, and Q are coplanar) is NOT true.
(From the image, an example of points that are coplanar are points U,P,R, and T because they lie on the same plane).
Hence, based on the figure, the statements that are true are the first, second and fifth statements. that is
SV is perpendicular to TPSV is perpendicular to plane Apoint P lies on SV and in plane ALearn more here: https://brainly.com/question/17534787
Solve the system using the elimination method.
3x + 2y-z= 8
-3x + 4y + 5z = -14
X- 3y + 4z=-14
Answer:
Step-by-step explanation:
3x + 2y - z = 8
-3x + 4y + 5z = -14
6y + 4z = -6
3x + 2y - z = 8
-3x + 9y - 12z = 42
11y - 13z = 50
6y + 4z = -6
66y - 78z = 300
-66y - 44z = 66
-122z = 366
z = -3
3x + 2y + 3 = 8
3x + 2y = 5
-3x + 4y -15 = -14
-3x + 4y = 1
3x + 2y = 5
-3x + 4y = 1
6y = 6
y = 1
3x + 2 + 3 = 8
3x + 5 = 8
3x = 3
x = 1
x=1, y = 1, z = -3
Water flows through a pipe of a rate 12 cups every 5 hours. express this rate of flow in gallons per week. round your answer to the nearest tenths
Answer:
25.2 gallons per week
Step-by-step explanation:
[tex]\dfrac{12\text{ cups}}{5\text{ h}}\times\dfrac{24\text{ h}}{1\text{ da}}\times\dfrac{7\text{ da}}{1\text{ wk}}\times\dfrac{1\text{ gal}}{16\text{ cups}}=\dfrac{12\cdot24\cdot7\text{ gal}}{5\cdot16\text{ wk}}=\boxed{25.2\text{ gal/wk}}[/tex]
The life expectancy of a monkey is 15 years, an African elephant 35 years, a beaver 5 years, and a grizzly bear 25 years. Write a relation that describes this information. Determine its domain and range.
Answer:
The domain = 1, 3, 5, 7 and the range = 5, 15, 25, and 35
Step-by-step explanation:
The given parameters are;
The life expectancy of a monkey = 15 years
The life expectancy of an African elephant = 35 years
The life expectancy of a beaver = 5 years
The life expectancy of a grizzly bear = 25 years
Therefore, if the life expectancy of a beaver = X, we have;
The life expectancy of a monkey = 3 × The life expectancy of a beaver = 3·X
The life expectancy of a beaver = X
The life expectancy of an African elephant = 7 × The life expectancy of a beaver = 7·X
The life expectancy of a grizzly bear = 5 × The life expectancy of a beaver = 5·X
Therefore;
The domain = 1, 3, 5, 7 and the range = 5, 15, 25, and 35.
Answer:
Relation = {(Monkey, 15), (African elephant, 35), (Beaver, 5), (Grizzly bear, 25)}
Domain = {Monkey, African elephant, Beaver, Grizzly bear}
Range = {5, 15, 25, 35}
Step-by-step explanation:
1. RelationRelation is just (x,y).
{(Monkey, 15), (African elephant, 35), (Beaver, 5), (Grizzly bear, 25)}
2. DomainI like to put domain as least ---> greatest, but in this case, it's just the names
{Monkey, African elephant, Beaver, Grizzly bear}
3. RangeThe numbers.
{5, 15, 25, 35}
Hope this helped! Please mark brainliest :)
~~ SUMMER ~~
(3x^3+4x^2)+(3x^3-4x^2-9x)
Answer:3x • (2x2 - 3)
Step-by-step explanation:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2". 3 more similar replacement(s).
STEP
1
:
Equation at the end of step 1
((3•(x3))+(4•(x2)))+(((3•(x3))-22x2)-9x)
STEP
2
:
Equation at the end of step
2
:
((3•(x3))+(4•(x2)))+((3x3-22x2)-9x)
STEP
3
:
Equation at the end of step
3
:
((3 • (x3)) + 22x2) + (3x3 - 4x2 - 9x)
STEP
4
:
Equation at the end of step
4
:
(3x3 + 22x2) + (3x3 - 4x2 - 9x)
STEP
5
:
STEP
6
:
Pulling out like terms
6.1 Pull out like factors :
6x3 - 9x = 3x • (2x2 - 3)
Trying to factor as a Difference of Squares:
6.2 Factoring: 2x2 - 3
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 2 is not a square !!
Ruling : Binomial can not be factored as the
difference of two perfect squares
Final result :
3x • (2x2 - 3)
The measure of L in triangle LMN is 33°. The measure of M is 79°. What is the measure of N?
Answer:
N = 68°Step-by-step explanation:
Since ∆LMM is a triangle all it's interior angles sum up to 180°
To find M add up all the angles and N and equate it to 180° to find N
That's
L + M + N = 180
33 + N + 79 = 180
N + 112 = 180
N = 180 - 112
We have the final answer as
N = 68°Hope this helps you
what is the vertex of y = - | x + 3 | + 5
Answer:
vertex = (- 3, 5 )
Step-by-step explanation:
The general form of the absolute value function is
y = a | x - h | + k
where (h, k) are the coordinates of the vertex
Given
y = - | x + 3 | + 5 ← in general form, then
vertex = (- 3, 5 )
22. Which is the interquartile range for
the city that has the
greater variability
in temperature?
Answer:
40
Step-by-step explanation:
Variability is a measures of the interquartile range of a given set of data. The greater the interquartile range, the more the variability.
The interquartile range (IQR) = Third quartile (Q3) - First Quartile (Q1)
IQR for City A = 70 - 40 = 30
IQR for City B = 80 - 40 = 40.
City B has a greater IQR value, therefore, it has the greater variability in temperature.
The interquartile range for the city with greater variability is 40.
What is the slope againnn ?
Answer:
-1/2
Step-by-step explanation:
To find the slope, pick two points on the line, and use the slope formula
( 1,9) and (5,7)
m = (7-9 )/(5-1)
-2/4
-1/2
Answer:
slope = -1/2
Step-by-step explanation:
Find two points on the line that are easy to read. The easiest points to read are points that lie on grid intersections.
For example, use point (1, 9) and point (3, 8).
slope = rise/run
Rise is the vertical distance between points. Up is positive. Down is negative.
Run is the horizontal distance between points. Right is positive. Left is negative.
You need to go from one point to the other points and note the rise and run.
Start at (1, 9).
Go 1 unit down. That is a rise of -1 since you went down 1 unit.
Now go 2 units right. That is a run of +2 since you went 2 units to the right.
slope = rise/run = -1/2
Answer: slope = -1/2
PLEASE HELP!!! Find the length of AB. Leave
your answer in terms of T.
А
20° AB = [?]
27
B
Enter
Answer:
3π
Step-by-step explanation:
Arc length is given in terms of central angle θ in radians as ...
s = rθ
For r = 27 and θ = (20/180)π, the arc length is ...
s = (27)(20/180)π = 3π
The arc length is 3π units.
10 times much as 5000
Answer:
50,000
Step-by-step explanation:
10*5,000=50,000
Answer: 50,000
Step-by-step explanation:
10× 5,000= 50,000
Or
Just add one zero to 5,000 :)
Hope this helps :)
George has a part-time job which pays $10 per hour. He has already saved $94 toward the purchase of a new car stereo which
costs $194. If x represents the number of hours he still needs to work in order to buy the stereo, which of the inequalities
symbolizes this situation?
OA $10x + $94 $194
OB. $94x + $ 10 $194
OC $94x + $10 < $194
OD. $10x + $94 s $194
Answer:
[tex]\$10x + \$94\geq\ \$194[/tex]
Step-by-step explanation:
Given
Wage = $10 per hour
Savings = $94
Stereo = $194
Required
Represent the scenario using an inequality
From the question, x represents the number of hours.
If his wage is $10 per hour then, his wage is $10x in x hours
Solving further;
For George to afford the stereo, the sum of his wages and savings must be greater than or equal to the cost of the stereo
Mathematically, this is:
[tex]Wages + Savings \geq\ Stereo[/tex]
Substitute right values for the above expression
[tex]\$10x + \$94\geq\ \$194[/tex]
The options are not well presented, hwever the solution is [tex]\$10x + \$94\geq\ \$194[/tex]
The length of a rectangle is twice it’s with the perimeter of a rectangle is 126 feet.
Answer:
Length = 42 feet
Width = 21 feet
Step-by-step explanation:
Let the length and width be represented by L and W
L = 2W
Perimeter (P) = 126 feet
2(L + W) = 126
L + W = 126/2 = 63
2W + W = 63
3W = 63
W = 63/3 = 21 feet
L = 2W = 2 × 21 feet = 42 feet
Marvin walks at a speed of 7 feet per second. How many feet per hour is this?
Answer:
7 x 60 = 420
420 x 60 = 25,200
25,200 feet per hour
Step-by-step explanation:
pls make me as brainleist
Answer ASAP, will give brainliest
Answer:
cge
Step-by-step explanation:
1. -10=xy+z, solve for x please? 2. h-4/j =k, solve for j please?
Answer:
[tex]x=\frac{-10-z}{y}[/tex]
Step-by-step explanation:
1 Subtract z from both sides.
[tex]-10-z=xy[/tex]
2 Divide both sides by y
[tex]\frac{-10-z}{y} =x[/tex]
3 Switch sides.
[tex]x=\frac{-10-z}{y}[/tex]
2nd question
Answer: [tex]j=-\frac{4}{k-h}[/tex]
Step-by-step explanation:
1 Subtract h from both sides
[tex]-\frac{4}{j} =k-h[/tex]
2 Multiply both sides by j.
[tex]-4=(k-h)j[/tex]
3 Divide both sides by k−h.
[tex]-\frac{4}{k-h}=j[/tex]
4 Switch sides.
[tex]j=-\frac{4}{k-h}[/tex]
Answer:
[tex]\huge \boxed{x= \frac{-10-z}{y} } \\\\\\\\ \huge \boxed{j=\frac{4}{h-k} }[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
Solving for x:
[tex]-10=xy+z[/tex]
Subtracting z from both sides:
[tex]-10-z=xy[/tex]
Divding both sides by y:
[tex]\displaystyle \frac{-10-z}{y} =x[/tex]
Solving for j:
[tex]\displaystyle h-\frac{4}{j} =k[/tex]
Subtracting h from both sides:
[tex]\displaystyle - \frac{4}{j} =-h+k[/tex]
Multiplying both sides by j,
then dividing both sides by (-h + k):
[tex]\displaystyle - \frac{4}{-h+k} =j[/tex]
Simplifying the equation:
[tex]\displaystyle \frac{4}{-(-h+k)} =j[/tex]
[tex]\displaystyle \frac{4}{h-k} =j[/tex]
[tex]\rule[225]{225}{2}[/tex]
When |x−y| = 0, what best describes the possible values of x and y?
Answer:
x must equal y
Step-by-step explanation:
|x−y| = 0
For this to be true
x-y = 0
That means x-y+y = 0+y
x=y
Johnny receives a weekly allowance of $7. He wants to save up for a skateboard that costs $50. Write an inequality that calculates the number of weeks Johnny needs to save in order to purchase the skateboard. Use x for your variable.
Answer:
7× greater than or equal to 50
Step-by-step explanation:
it won't let me put the sign but I think that the correct answer
17. The District of Columbia has a very high population density.
There are 646,449 people in 68.3 square miles.
a. Calculate the unit rate in terms of people per square mile for the District of Columbia.
Make sure the precision of your answer is reasonable.
Answer:
9465 people/square mile.
Step-by-step explanation:
If there are 646,449 people in 68.3 square miles for the district of columbia, the unit rate in terms of people per square mile for the District of Columbia will be expressed as shown;
646,449 people = 68.3 square miles
x people = 1 square mile
Cross multiply
646,449 people * 1 square mile = 68.3 square miles * x people
x = 646,449 people * 1 square mile/68.3 square miles
x = 646,449/68.3 square miles
x = 9464.8463 square miles
x ≈ 9465 people/square mile.
Hence the unit rate in terms of people per square mile for the District of Columbia is approximately 9465 people.
The following chart shows temperatures of cities on a winter morning. City Temperature Buffalo −8 Grand Rapids −3 Denver 10 Chicago −1 Which city had the coldest temperature?
Answer:
Buffalo
Step-by-step explanation:
The number that is father away form 0 is the coldest
Answer:
Buffalo -8
Here’s my explanation
the number line is a weird thing but its under standing here’s a semi graph
the fairest to the left is the coldest and the fairest to the right is the hottest i have out all the possible answers in bold witch on is the farest to the left
-8 -7 -6 -5 -4 -3 -2 -1 (0) 1 2 3 4 5 6 7 8 9 10
if f(x)=3(x+5) +4/x, what is f(a+2)
Answer:
f(a+2)=3(a+7)+4/(a+2)
Step-by-step explanation:
To determinef(a+2) you need to substitute a+2 for each occurrence of x in the given function. See below for full explanation.
Explanation:
If
f(x)=3(x+5)+4/x
Then
f(a+2)=3(a+2+5)+4/a+2
Simplifying gives:
f(a+2)=3(a+7)+4/(a+2)
State the amplitude and period of f(t) = -0.3sin t/3
Answer:
Amplitude is 0.3; period is 6π
Step-by-step explanation:
The amplitude is |-0.3| = 0.3.
The period and frequency are related through
2π
period = ----------
b
where b is the coefficient of the independent variable; here that coefficient is 1/3.
Thus, the period here is found using b = 1/3:
period = 2π/b, or 2π/(1/3), or 6π
What are the factors of x(5x+4)-(5x+4)
Answer:
Step-by-step explanation:
(5[tex]x^{2}[/tex]+4x)-(5x+4)
then we factorise the similar factors
x(5x+4)+1(5x+4)
thus factors will be:
(x+1) and (5x+4)
The position d of bicyclist (measured in kilometres) is a linear function of time t (measured in minutes). At time t= 5 minutes, the position is d= 7 km. If the bicyclist travels 7 km for every 5 minutes, find the position of the bicyclist for time t= 15 minutes.
Answer:
21 kmStep-by-step explanation:
If the bicyclist travels 7 km for every 5 minutes then it is directly proportional
5 min 7 km
15 min x
[tex]x=\dfrac{15\cdot7}{5}=3\cdot7=21\,km[/tex]
Use the number line to determine the absolute value. Enter the value, as a mixed number in simplest form, in the box. ∣∣−2 2/3∣∣ = Pleasee help will gove brainliest!
Answer: 2/23
Step-by-step explanation: Absolute value is a term which is used to indicate the distance of a point or number from the origin of a number line or coordinate system.
Suppose x is a real number. Then the absolute value of x is defined as follows:
For x = 0 or x > 0, | x | = x
For x < 0, | x | = - x
Now, we have to find the absolute value of the given number that means we have to find the distance of from the origin of a number line.
Distance of from the origin is . As distance can never be negative.
Therefore, the absolute value of is 2/23 .
Which property is used in the following expression ? 3 (6 + 5) = 18 + 15
Distributive Property.
multiply the fractions and simplify the product 5/13 * 3/11
Answer: 15/143. cannot be simplified
Answer:
15/143
Step-by-step explanation:
5/13 * 3/11
(5*3)/(13*11)
which is equal to 15/143
no factor can go in the two numbers at the same time
therefore it can not be simplified
the final answer is 15/143
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