Answer:
[tex]x=6/13[/tex]
Step-by-step explanation:
So we have:
[tex]\frac{2}{3}x+\frac{3}{7}=1-\frac{4}{7}x[/tex]
Remove all the fractions to make things simpler. To do so, we can multiply by the LCM of the denominators.
The denominators are 3 and 7.
The LCM of 3 and 7 is 21. Thus, multiply everything by 21:
[tex]21(\frac{2}{3}x+\frac{3}{7})=21(1-\frac{4}{7}x)[/tex]
Distribute:
[tex]\frac{42}{3}x+\frac{63}{7}=21-\frac{84}{7}x[/tex]
Simplify the fractions:
[tex]14x+9=21-12x[/tex]
Add 12x to both sides:
[tex]26x+9=21[/tex]
Subtract 9 from both sides:
[tex]26x=12[/tex]
Divide both sides by 26:
[tex]x=12/26[/tex]
Reduce:
[tex]x=6/13[/tex]
And that's our answer :)
Answer: x = 6/13
find the common denominator (21);
14/21x + 9/21 = 21/21 - 12/21x
move your variable to one side and your constants to the other:
26/21x = 12/21
multiply all by 21/26 to get a lone x:
x = 12/26
simplify:
x = 6/13
geometry points lines and planes
A) How many points appear in the figure?
B) How many lines appear in the figure?
C)How many planes appear in the figure?
D) Name three collinear points
E) Name four non-coplanar points
F)Give another name for line e
G) Name the intersection of PQ AND MO
H) Name the intersection of Plane K and line c
I) Give another name for plane L
I) Give another name for PQ
Answer:
A.) 9 points
B.) 3 lines
C.) 2 planes
D.) P, N, G / M, N, O / R, N, S
E.) U, T, O, S / There are multiple ways but that will take a while sorry. :)
F.) M, N, O
G.) N
H.) S
I.) I don't know sorry
J.) Line D
Hope this Helps! :)
In geometry, lines, planes and points are very important for description purpose. The answers to the given questions can be stated as follows:
A. 9 points (Points - M, N, O, P, Q, R, S, T, U)
B. 3 lines (Lines - MO, PQ, RS)
C. 2 planes (Planes - K and L)
D. (P, N, Q) , (M, N, O), (R, N, S)
E. (M, P, S, T)
F. M, O
G. N
H. S
I. Horizontal plane
J. Line D
Geometry is an aspect that deals with lines, planes and points. A line is a straight path that connects two points, while a plane is a flat surface which could either be a horizontal or vertical.
To solve the given questions, it is important to understand the given figure and interpret each question with respect to the terminologies in it. Example: Collinear points are points which are connected by a straight line, while non-collinear points are points that can not be linked by a straight line.
Therefore, the answers to the questions are as follows:
A. 9 points (Points - M, N, O, P, Q, R, S, T, U)
B. 3 lines (Lines - MO, PQ, RS)
C. 2 planes (Planes - K and L)
D. (P, N, Q) , (M, N, O), (R, N, S)
E. (M, P, S, T)
F. M, O
G. N
H. S
I. Horizontal plane
J. Line D
Reference: https://brainly.com/question/17721067
Jon was given a radical to simplify. His original problem had nothing already
simplified outside of the square root. His answer was 2xy^3z^4√3xz. What
must have been the original radical that Jon was given?
Answer:
[tex]\sqrt{12x^3y^6z^9}[/tex]
Step-by-step explanation:
[tex]2xy^3z^4\sqrt{3xz}=\sqrt{(2xy^3z^4)^2(3xz)}=\sqrt{(2^2)(3)(x^2)(x)(y^6)(z^8)(z)}\\\\=\boxed{\sqrt{12x^3y^6z^9}}[/tex]
_____
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
a√b = √(a^2·b)
(a^b)(a^c) = a^(b+c)
Solve for x:
2 + 10 ≥ 24 or 1 − 4 < 4
Answer:
There is no x in the question
Find the complement and supplement of the angle with measure 40 degrees
Answer:
The complement is 50 and the supplement is 140
Step-by-step explanation:
Complementary angles add up to 90. Supplementary angles add up to 180. We simply need to subtract to find the difference to fill the gap.
90-40=50
180-40=140
The complement is 50 and the supplement is 140
Answer:
complement angle to 40 degrees is 50 and the supplement angle to 40 degrees is 140
Step-by-step explanation:
complement angle to 40 degrees is 90 - 40 = 50 degrees
Supplement angle to 40 degrees is 180 - 40 = 140 degrees.
question is givenin the photo given above
Step-by-step explanation:
In order to meet at point F, line DF must travel from the top line to the bottom line. If it crosses through E, the midway, that means that it is halfway to the bottom line. This means the distance D E is equal to E F, because both are the distance from midpoint E to one of the sides (top or bottom).
If D E and E F are equal length, then AB and BF must be the length as well, as it is the length DF line takes to get halfway down from the top. Since they are the same length, A F must be twice the length of AB.
Hope this helped!
Hello I wanted to ask if this was right or if im doing it wrong since i am consfused on why there is a second point
1. Three people board the subway train at the first stop. Five people board the train at
the second stop. Seven people board the train at the third stop. If this pattern
continues and no one gets off the train, how many people are on the subway train when
it reaches the seventh and final stop?
Answer:
48 people.
Step-by-step explanation:
The sequence is 3 5 7 ...
The common difference is 2 so by the 7th stop 6 lots of people have boarded and the total is:
3 + 5 + 7 + 9 + 11 + 13 = 48 people.
=
Calculating the Volume of a Cylinder
Calculate the volume of this regular solid.
What is the volume of the cylinder? Round your answer
to the nearest hundredth.
cm?
В B.
13 cm
4 cm -
Answer:
The answer is 653.45
Step-by-step explanation:
-2|5x-1|-3=11 and -2|5x-1|-3=-11
Answer : The values of x are [tex]\frac{-3}{5}[/tex] and 1.
Step-by-step explanation :
The given equation is:
[tex]-2|5x-1|-3=-11[/tex]
The term -3 is moved or added to the right hand side.
[tex]-2|5x-1|=-11+3[/tex]
[tex]-2|5x-1|=-8[/tex]
The term -2 is divided to the right hand side.
[tex]|5x-1|=\frac{-8}{-2}[/tex]
[tex]|5x-1|=4[/tex]
Clear the absolute-value bars by splitting the equation into two cases. One for the positive case and the other for the negative case.
Negative case : [tex]-(5x-1)=4[/tex]
Positive case : [tex](5x-1)=4[/tex]
Now solve both the cases.
Negative case : [tex]-(5x-1)=4[/tex]
[tex]-5x+1=4[/tex]
[tex]-5x=4-1[/tex]
[tex]-5x=3[/tex]
[tex]x=\frac{-3}{5}[/tex]
and,
Positive case : [tex](5x-1)=4[/tex]
[tex]5x=4+1[/tex]
[tex]5x=5[/tex]
[tex]x=1[/tex]
Therefore, the values of x are [tex]\frac{-3}{5}[/tex] and 1.
For Elizabeth’s lemonade recipe, 4 lemons are required to make 2 cups of lemonade. At what rate are lemons used in cups of lemonade per lemon?
Answer:
1/2 cup of lemonade per lemon
Step-by-step explanation:
2 cups of lemonade use 4 lemons
(2 cups of lemonade)/(4 lemons) =
= 2/4 cup of lemonade per lemon
= 1/2 cup of lemonade per lemon
The results from a random sample of 150 students' after-school activities at a school are shown. 68 students prefer soccer. 59 students prefer basketball. 23 students prefer swimming. Part A If there are a total of 500 students in the school, what is the best approximation for how many students in the school prefer basketball? 197 students 197 students 227 students 227 students 295 students 295 students 303 students 303 students
Answer:
≈ 197 students
Step-by-step explanation:
Let's start by writing what we know.
150 students sampled
68 prefer soccer
59 prefer basketball
23 prefer swimming
Part A
If 59 students prefer basketball out of the 150 students sampled then we divide 59/150 in order to get the percentage of students that prefer basketball.
59/150 ≈ 39.33% Remember this is only a sample of the students so it is approximate.
Now that we have the percentage, we can multiply it by the entire student body to get an approximate number of all students that prefer basketball.
39.33% = .3933
.3933 * 500 = 196.66 ≈ 197 students (because we can't have a partial student we round up)
The best approximation of the number of students in the school who prefer basketball is 197.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
The results from a random sample of 150 students' after-school activities at a school are shown.
68 students prefer soccer. 59 students prefer basketball. 23 students prefer swimming.
The percentage of students who prefer soccer will be
[tex]\rightarrow \dfrac{68}{150} = \dfrac{34}{75}[/tex]
The percentage of students who prefer basketball will be
[tex]\rightarrow \dfrac{59}{150}[/tex]
The percentage of students who prefer swimming will be
[tex]\rightarrow \dfrac{23}{150}[/tex]
If there are a total of 500 students in the school. Then the best approximation for how many students in the school prefer basketball will be
[tex]\rightarrow \dfrac{59}{150} \times 500 = 196.667 \approx 197[/tex]
More about the percentage link is given below.
https://brainly.com/question/8011401
. Зу - 18 = -2 + 5y
Answer:
y = -8
Step-by-step explanation:
-18+2 = 5y-3y
-16 = 2y
y = -8
If you need more explaining notify me
Jenny explained to Robert that only rational numbers are considered as a set of real numbers. Robert disagreed stating that irrational numbers could also be a set of real numbers explain which student is correct
Answer: Robert is correct, irrational numbers are part of real numbers.
Explanation:
In mathematics, numbers are classified into different groups or seats. In the case of real numbers, these are a broad category that includes all numbers that can be represented on a line. Moreover, this category includes smaller categories such as rational numbers, for example, 15, 2.4 or 6/2 that can be represented as fractions, as well as, irrational numbers such as [tex]\pi[/tex] that cannot be fractions. In this context, Jenny is incorrect and Robert is correct because irrational numbers are also real numbers.
given that m2(n-l) m=-2 and n=3/4
Answer:
when m= -2 and n=3/4.
-2^2.(3/4-1).
-4(-1/4)
=1.
Phill weighs 120 pounds and is gaining ten pounds each month. Phil weighs 150 pounds and is gaining 4 pounds each month. How many months, m, will it take for Bill to weigh the same as Phil?
Answer:
5 months
Step-by-step explanation:
You had a typo and said that Phil weighed both amounts so I'm assuming that the second amount is Bill's weight
We can use LCM for this
So lets make a list for both of them
Phil:120, 130, 140, 150, 160, 170, 180, 190, 200
Bill: 150, 154, 158, 162, 166, 170, 174
As you can see here, after 5 months, they will have the same weight.
We can check our work to.
lets do 120+(10*5)=170
and 150+(4*5)=170
I hope this makes sense
Identify the domain intervals over which the inverse of the graphed function is also a function. Select all that apply.
Answer:
A, B and D
Step-by-step explanation:
There are two inverse linear functions graphed. One of the is decreasing up to x = 3 excluded, the other one is increasing from the point x = 3 included.
Domain range of the decreasing one is:
( - oo, 3 )Domain range of the increasing one is:
[ 3, +oo )Correct choices are: A, B and D
Note: A and B are same
51:26
A triangle on a coordinate plane is translated according to the rule T-3, 5(x, y). Which is another way to write this
rule?
x
(x,y) → (x - 3, y + 5)
O (x, y) - (x-3, y-5)
O(x, y) = (x + 3, y-5)
O(x, y) = (x + 3, y + 5)
Answer: x+3,y+5
Step-by-step explanation:
solve for n.........
Answer:
[tex]n=\frac{-360}{A-180}[/tex]
Step-by-step explanation:
Step 1: Write out equation
[tex]A=\frac{180(n-2)}{n}[/tex]
Step 2: Multiply both sides by n
[tex]An=180(n-2)[/tex]
Step 3: Distribute
[tex]An=180n-360[/tex]
Step 4: Subtract 180n on both sides
[tex]An-180n=-360[/tex]
Step 5: Factor out n
[tex]n(A-180)=-360[/tex]
Step 6: Divide both sides by (A - 180)
[tex]n=\frac{-360}{A-180}[/tex]
On the basketball team,
Steph Curry made 40% of the
team's points. If he scored
42 points, how many total
points did the Golden State
Warriors score?
Answer:
105 pointsStep-by-step explanation:
1%=0.01 ⇒ 40% = 40•0.01 = 0.4
x - total of team points
40%x = 42
0.4x = 42
÷4 ÷4
0.1x = 10.5
•10 •10
x = 105
Answer:
105 points
Step-by-step explanation:
Eva already has 5 plants in her backyard, and she can also grow 1 plant with every seed
packet she uses. How many seed packets does Eva need to have a total of 45 plants in her
backyard?
4. If mZRST = (12x - 1)º, mZRSU = (9x - 15),
and mZUST = 53°, find each measure.
x=
mZRST =
mZRSU =
Answer:
mZRST = 155°, mZRSU = 102°
Step-by-step explanation:
Given that mZRST = (12x - 1)º, mZRSU = (9x - 15), and mZUST = 53°.
We know that mZRSU + mZUST = mZRST (since S is a common point)
So, (9x - 15)º + 53° = (12x - 1)º
Expanding the brackets we have
9x - 15 + 53 = 12x - 1
collecting like terms, we have
53 - 15 + 1 = 12x - 9x
54 - 15 = 3x
39 = 3x
Dividing through by 3, we have
x = 39/3
x = 13°
So, mZRST = (12x - 1)º
= 12(13) - 1
= 156 - 1
= 155°
So, mZRST = 155°
mZRSU = (9x - 15),
= 9(13) - 15
= 117 - 15
= 102°
So, mZRSU = 102°
Find the quotient.
0/6
Answer:
0
Step-by-step explanation:
Any number divided by zero is undefined.
Zero divided by any number other than zero equals zero.
0/6 = 0
Answer: 0
Answer:
0
Step-by-step explanation:
Anything divided or multiplied by 0 equals 0.
Tiana has already cycled 17 kilometers this year, plus she plans to cycle 3 kilometers during
each trip to work. How many trips will Tiana have to make to cycle a total of 44 kilometers?
Answer( 9 trips )
Step-by-step explanation:
44-17=27
27/3=9
basically you take away 17 kilometers she has already cycled from 44 then divide by 3 because each trip is 3 kilometers which equals 9 trips left.
hope this helped :)
Answer:
9 trips
Step-by-step explanation:
44 minus 17 equals 27
Tiana cycles 3 kilometers every trip to work so to travel 27 more kilometers she will need 9 trips
If a cylinder has a height of 19 cm and a diameter of 60 cms calculate how much liquid this cylinder can hold
Answer:
53721.23
Step-by-step explanation:
V=πr^2h
v = 3.14(30)^2(19)
v = 53721.23
Answer:
a cylinder can hold a liquid of 53,721 cm³
Step-by-step explanation:
volume of a cylinder = π r² h
vol = π * (60/2)² * 19
vol = 53,721 cm³
Deanna is investigating transformations that carry a regular polygon onto itself. She claims that for a regular polygon of k sides, the minimum angle of rotation about its center that carries it onto itself is equal to the measure of each interior angle of the polygon. For what value of k would Deanna's claim be true?
Answer:
The value of k that would make Deanna's claim to be true is k = 4
Step-by-step explanation:
The given transformation that Deanna has a claim for = Rotation
Deanna's claim. the minimum rotation of a polygon about its center that carries the polygon onto itself = The interior angle of the polygon
We note that the rotation of a regular polygon about its center that carries the polygon onto itself = The exterior angle of the polygon
Therefore, given that for a polygon with more than 5 sides, the exterior angle of the polygon < The interior angle of the polygon, Deana statement can be said to be true for the case of a square
Here;
The exterior angle of the polygon = The interior angle of the polygon 90
The value of k which is the number of sides of the polygon, for a square = 4
Therefore, the value of k that would make Deanna's claim to be true is k = 4.
$7.79 + $0.89 + $412.37 + $7
Answer:
428.05
Step-by-step explanation:
Answer:
428.05 US$
Step-by-step explanation:
You add each piece of money to each other
You start with 7.79 and 0.89
then 412.37 and 7
then you get 8.68 and 419.37
you add those to get 428.05
Give three examples of objects that have potential energy
Answer:
A car parked on a hill, A raised weight, A snow pack.
Step-by-step explanation:
To summarize, potential energy is the energy that is stored in an object due to its position relative to some zero position. An object possesses gravitational potential energy if it is positioned at a height above (or below) the zero height.
Three examples of objects that have potential energy are, a child at the top of the seesaw in play-ground, water in dam, rock kept at some finite height of hill.
What is Potential Energy ?
The energy possessed by a body due to its position or configuration is known as potential energy. when an object is at rest, velocity is equal to zero, thus velocity of the object doesn't contribute to potential energy, it only depends upon gravitational constant "g", height h of the object above the Earth's surface and mass m of the object.
The basic formula to determine the Potential Energy possessed by the body is given by :
P.E = mgh
examples of objects that are having potential energy are :
1) a child at the top of the seesaw in play-ground.
2) water in dam.
3) rock kept at some finite height of hill.
Learn more about "Energy" here:
https://brainly.in/question/49548283
#SPJ2
You use it to form general ideas and rules based on your experiences and ______.
The figures below represents which type of transformation?
ale
GA
Reflection across the y-acis. (x,y) --> (23)
Translation up 10 units (x, y) --> (x, y = 10)
Rotation 180°. (*--> -x, y)
Reflection across the x-axis. (x, y) --> (x, y)
Answer:Step-by-step explanation:x+2(-4) yx
The area of a rectangle is (x2 - 5x - 36). What is the width if the length of the rectangle is (x + 4)?
Answer:
Step-by-step explanation:
The width of the rectangle is (x - 9)
(x + 4)(x - 9)
x^2 - 9x + 4x - 36
x^2 - 5x - 36
Answer:
W = ( x - 9 )
Step-by-step explanation:
The area of a rectangle is equal to the length times the width of the rectangle.
So we can say A = LW
A = (x^2 - 5x - 36)
L = (x + 4)
A = LW
W = A / L
W = (x^2 - 5x - 36) / (x + 4)
W = (x + 4) (x - 9) / (x + 4)
W = (x - 9)
Cheers.