PLEASE HELP
2/3x =10
Show your work in details if you can, I have a hard time understanding this.
Answers
[tex]\\ \sf\longmapsto \dfrac{2}{3}x=10[/tex]
[tex]\\ \sf\longmapsto \dfrac{2x}{3}=10[/tex]
[tex]\\ \sf\longmapsto 2x=3(10)[/tex]
[tex]\\ \sf\longmapsto 2x=30[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{30}{2}[/tex]
[tex]\\ \sf\longmapsto x=15[/tex]
[tex] \begin{cases}\large\bf{\red{ \implies}} \tt \frac{2}{3} x \: = \: 10 \\ \\ \large\bf{\red{ \implies}} \tt \frac{2x}{3} \: = \: 10 \\ \\ \large\bf{\red{ \implies}} \tt 2x \: = \: 3 \: \times \: 10 \\ \\ \large\bf{\red{ \implies}} \tt 2x \: = \: 30 \\ \\ \large\bf{\red{ \implies}} \tt \: x \: = \:\frac{ \cancel{30} \: \: ^{15} }{ \cancel{2}} \\ \\ \large\bf{\red{ \implies}} \tt \: x \: = \: 15 \end{cases}[/tex]
Related Questions
Two trains, X and Y, started simultaneously from opposite ends of a 100-mile route and traveled toward each other on parallel tracks. Train X, traveling at a constant rate, completed the 100-mile trip in 5 hours; Train Y, traveling at a constant rate, completed the 100-mile trip in 3 hours. How many miles had Train X traveled when it met Train Y?
(A) 37.5
(B) 40.0
(C) 60.0
(D) 62.5
(E) 77.5
Answers
Answer:
(A) 37.5 miles
Step-by-step explanation:
The trains x and y are travelling on tracks starting simultaneously from a from opposite ends of 100 miles roads.
Translate these information into a simple represention to visualize the problem. (Picture below)
■■■■■■■■■■■■■■■■■■■■■■■■■■
First let's calculate the velocity of both trains.
The velocity formula is:
● V = d/t
d is the distance travelled and t is the tile needed to do it.
● V(x) = 100/5 = 20 miles per hour
● V(y) = 100/3 = 33.33.. wich is approximatively 33 after rounding to the nearest unit.
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After calculateingboth velocities, Let's find when the trains meet.
First understand what does it mean matematically when both trains meet.
Go back to the representation and notice what happens when the trains meet.
Let t be that moment.
When x and y reches the meeting point at t, the sum of the distances they have travelled is equal to the total distance wich is 100 miles .
We khow that V = d/t so d = V×t
Let's find the expression of the distances both trains travelled when they have met each other.
● d = V(x) × t
● d' = V(y) × t
■■■■■■■■■■■■■■■■■■■■■■■■■■
So the equation will be:
● V(x) × t + V(y) × t = 100
Factor using t
● t (V(x) + V(y) ) = 100
Replace V(x) and V(y) by their values
● t (20+33) = 100
● 53 t = 100
Divide both sides by 53
● 53t /53 = 100/53
● t = 1.88
■■■■■■■■■■■■■■■■■■■■■■■■■
Replace t in the expression of the distance that train x has travelled when meeting y.
● d = V(x) × t
● d = 20 × 1.88
● d = 37.6 wich is approximatively 37.5 miles
Find the lengths of AD, EF, and BC in the trapezoid below.
Answers
Answer:
Step-by-step explanation:
Segment EF is mid-segment of ABCD ⇒ ( 2x - 4 ) + ( x - 5 ) = 2x
x - 9 = 0
x = 9
AD = 4
EF = 9
BC = 14
The length of segments AD, EF, and BC in the trapezoid are 4, 9 and 14 respectively
What is Coordinate Geometry?A coordinate geometry is a branch of geometry where the position of the points on the plane is defined with the help of an ordered pair of numbers also known as coordinates.
We have to find the lengths of AD, EF, and BC in the trapezoid
Segment EF is mid-segment of ABCD
So ( 2x - 4 ) + ( x - 5 ) = 2x
Now let us solve for x
2x-4+x-5=2x
Combine the like terms
x-9=0
x=9
So AD =x-5
=9-5= 4
EF = 9
BC = 2x-4
=18-4
=14
Hence, the length of segments AD, EF, and BC in the trapezoid are 4, 9 and 14 respectively
To learn more on Coordinate Geometry click:
brainly.com/question/27326241
#SPJ2
Given log32≈0.631 and log37≈1.771, what is log314
Answers
Answer:
the log to the base 3 of 14 is 2.402
Step-by-step explanation:
You must find a way to indicate that 3 is the base; you cannot run this '3' together with 2, 7 or 14.
Example:
log to the base 3 of 2 = 0.631
log to the base 3 of 7 = 1.771
Note that 2 times 7 is 14. Thus, to obtain the log to the base 3 of 14, we must ADD the two logs shown above:
0.631
+1.771
----------
2.402
Thus, the log to the base 3 of 14 is 2.402.
Check: Does 3^2.402 = 14? YES
16
Select the correct answer.
If function g is defined by the equation Y-3X = -14, which equation represents the function in function notation?
OA. gx) = 3X - 14
OB. gx) = -3X - 14
OC. g(x) = 3X + 14
OD. gx) = -3X + 14
Reset
Next
Answers
Answer: A) g(x) = 3x - 14
Step-by-step explanation:
Solve the equation for y and replace y with g(x):
y - 3x = -14
y = 3x - 14
g(x) = 3x - 14
the height of a soccer ball that is kicked from the ground can be approximated by the function:
y = -12x^2 + 48x
where y is the height of the soccer ball in feet x seconds after it is kicked. What is the soccer ball's maximum height in feet?
Answers
Answer: 4 seconds
Step-by-step explanation:
x refers to time. Since we want to know how long it is in the air, we need to find the time (x) when the ball lands on the ground (y = 0)
0 = -12x² + 48x
0 = -12x(x - 4)
0 = -12x 0 = x - 4
0 = x 4 = x
x = 0 seconds is when the ball was kicked
x = 4 seconds is when the ball landed on the ground
3 log2 (x+1) - 2 = 13
Answers
Answer:
Hello,
Answer 31
Step-by-step explanation:
[tex]3*log_2(x+1)-2=13\\\\3*log_2(x+1)=13+2\\\\log_2(x+1)=5\\\\\\x+1=2^5\\\\x=32-1\\\\\boxed{x=31}\\[/tex]
On a map, two locations are 0.75 centimeter apart. Their actual distance is 15 kilometers apart. What scale could be
shown on the map? Select three options.
Answers
Answer:
20
Step-by-step explanation:
It is 20 because 0.75 is on the map and its actualy distance is 15 so 15/0.75 is 20
Solve the following system
3x+y=9
4x-3y=6
Answers
Answer:
multiply the first equation with 3, then add the two equations, you'll get the value of x, by putting the value of x in any of the two equations, find y, answer should be this,
x = 33/13,
y = 18/13
Answer:
Step-by-step explanation:
3x+y=9
y=9-3x
4x-3y=6
4x-6=3y
y=(4x-6)/3
y= 4/3x-2
9-3x=4/3x-2
9+2=4/3x+3x
11=13/3x
x=11*3/13
=2.53
y=9-3*2.53
=1.41
Find the missing side or angle round to the nearest tenth b=15 a=30 c=29 A=[?]°
Answers
Answer: 79
Step-by-step explanation:
i just did it on acellus and its right
Which represents the inverse of the function f(x) = 4x?
h(x) = x+ 4
H(x) =x-4
h(x) = 3/4x
h(x) = 1/4x
Answers
Answer:
h(x)=1/4x
Step-by-step explanation:
function×inverse=-1
4x=-1
Answer:
h(x) = 1/4x
Step-by-step explanation:
y = 4x
x = 4y
1/4 x = y
Divide into two triangles in a straight line
Answers
Step-by-step explanation:
I am not sure but is this question like this
if it's not i am sorry
Three measurements are made on each of three individuals in a random sample from a population. X 1 = 2, X2 = 8
and
1
1
187
X3 = 4. The distances d(X1, X2)between X1, X, and d(X2, X3) between X2, X3 respectively are (Use Euclidean inner
L5.
product)
Answers
Step-by-step explanation:
here is the answer hope it helps
Write out in words how to solve the following equation N/3+5-8=2
Answers
(n/3) + 5 - 8 = 2
First add the constants (+5 and -8) on LHS.
(n/3) - 3 = 2
Transfer -3 to RHS, by changing its sign.
n/3 = 2 + 3
Now add the constants (2 and 3) on RHS.
n/3 = 5
Transfer 3 to RHS by changing division to multiplication
n = 5 × 3
Finally multiply the constants (5 and 3) on RHS
n = 15
Twice a number is equal to five more than five times the number.
Write that into an equation
Answers
Answer:
2x=5y+5
Step-by-step explanation:
Let one number be x, other y
Twice a number(2x) is five more(+5) than 5 times the other number(5y),
It means 2x > 5y
By 5 more, so
2x=5y+5
f=((-1,1),(1,-2),(3,-4)) g=((5,0),(-3,4),(1,1),(-4,1)) find (f/g)(1)
Answers
9514 1404 393
Answer:
-2
Step-by-step explanation:
(f/g)(1) = f(1)/g(1) = -2/1 = -2
__
The value of f(1) is the second number in the ordered pair (1, -2) that is part of the definition of function f. Similarly, for g, we look for the ordered pair that has 1 as its first value. The second value is g(1).
Which is the correct label of the line? (1 point)
a
AC
O
CD
D
Ο OllA
Answers
Answer:
The correct label of the line is CD
ILL GIVE BRAINLIEST
Combine like terms.
4x – 7y + 2x – 4 = [ ? ]x + [ ]y + [ ]
Answers
Answer:
[6x] + [-7y] + [-4]
Step-by-step explanation:
There are only two like terms in this expression "4x" and "2x." Since they are like terms we can combine them by adding the coefficients and keeping the variable attached. Therefore we can combine 4x and 2x into 6x. Since there are no more like terms, this expression can be simplified to 6x - 7y - 4.
6x - 7y - 4
Step-by-step explanation:
4x - 7y + 2x - 4
Combine like terms (by either subtracting or adding a number with the same variable)
4x + 2x = 6x
Thus, only one like term so the final answer is
6x - 7y - 4
An organization consists of 8,684 employees. They decided to conduct a survey about their new vacation policies. The organization surveyed 884 of their employees and found that 36% of those surveyed disliked the new vacation policies. Assuming a 95% confidence level, which of the following statements holds true?
Answers
Answer:
A. As the sample size is appropriately large, the margin of error is ±0.032.
Step-by-step explanation:
The margin of error is ±0.032 and the sample size is appropriately large. Therefore, the correct option is A.
A planet rotates on an axis through its poles and 1 revolution takes 1 day 1 day is 24 hours. The distance from the axis to a location the planet 30 degrees north latitude is about 3387.5 miles. Therefore, a location on the planet at 30 degrees north latitude is spinning on a circle of radius 3387.5 miles.
Compute the linear speed on the surface of the planet at 30 degrees north latitude.
Answers
Answer:
The velocity is [tex]v = 886.96 \ m/s[/tex]
Step-by-step explanation:
From the question we are told that
The period of each revolution is [tex]T = 1\ day = 24 \ hours[/tex]
The angle is [tex]\theta = 30^o[/tex]
The radius is [tex]r = 3387.5 \ miles[/tex]
Generally the linear speed is mathematically represented as
[tex]v = w * r[/tex]
Where [tex]w[/tex] is the angular speed which is mathematically represented as
[tex]w = \frac{2 \pi }{T}[/tex]
substituting values
[tex]w = \frac{2 *3.142 }{24}[/tex]
[tex]w = 0.2618 \ rad/s[/tex]
Thus
[tex]v = 0.261833 * 3387.5[/tex]
[tex]v = 886.96 \ m/s[/tex]
If A = {2,4,6,8,10) and B = [4,8,10), then which of the following statements is false?
A n B = B
B C B
A C B
Answers
A C B because all elements of A are not found in B
the sum of two numbers is twenty-four. The second number is equal to twice the first number.
Answers
Answer:
The two numbers are: 8 and 16.
Step-by-step explanation:
Let the two unknown numbers be a and b.
The sum of the two number is 24. In other words:
[tex]a+b=24[/tex]
The second number is equal to twice the first number. In other words:
[tex]a=2b[/tex]
This is a system of equations. Solve by substitution:
[tex]a+b=24\\a=2b\\\\2b+b=24\\3b=24\\b=8\\a=2b\\a=2(8)=16[/tex]
How do you multiply 123 x 62?
Answers
Answer:
(123)(62)=x
Step 1: Simplify both sides of the equation.
7626=x
Step-by-step explanation:
Have a good day.
Answer:7,626
Step-by-step explanation:The easiest way I do it is by taking the numbers and putting them under each other like this
123
62
then take the number 2 for example and multiply it by 3 then 20 then 100 and do the same with the 6=60 and heres how I solve it
2 x 3=6 2 x 20=40 2 x 100=200 60 x 3=180 60 x 20=1,200 60 x 100=6,000 now take all the numbers and add them
6+40+200=246
180+1,200+6,000=7,380
7,380+246=7,626
(if this helps in anyway feel free to put brainiest but thats your choice) :) happy to help.
Find the surface area of the figure round your answer to the nearest tenth if necessary
Answers
Answer:
Step-by-step explanation:
S.A. = (6 + 8 + 10) × 4 + 2(8 × 6) ÷ 2 = 144 mi²
What is the difference between congurent and similar ?
Answers
Answer:
When a shape is congruent they are equal in shape, size, and measure. Although if a shape is similar they will be the same shape, but not the same size, instead they will be proportionate.
Step-by-step explanation:
Answer:
CongruentCongruent figures are identical in size, shape and measure. SimilarTwo figures are similar if they have the same shape, but not necessarily the same size.
Step-by-step explanation:
Please help with this
Answers
Answer:
A
Step-by-step explanation:
● first one:
The diagonals of a rhombus are perpendicular to each others wich means that they form four right angles.
STP is one of them so this statement is true.
● second one:
If ST and PT were equal this would be a square not a rhombus.
● third one:
If SPQ was a right angle, this woukd be a square.
● fourth one:
Again if the diagonals SQ and PR were equal, this would be a square.
X cubed = 343^-1 find the positive value of x
Answers
9514 1404 393
Answer:
x = 1/7
Step-by-step explanation:
x³ = 1/343
x = 1/∛343 = 1/7
The positive value of x is 1/7.
_____
Additional comment
A square root (or any even-index root) will have both positive and negative real values. A cube root (or any odd-index root) will have only one real value, whose sign will match the sign of the value being rooted.
343^(-1/3) is the cube root of a positive number, so it will be a positive real number.
Mary subscribed to a cell phone plan with a $50 monthly fee and a charge of $0.25 for each minute she talks. Find an equation for the total cost for her plan when she uses minutes.
Answers
Answer:
c = 0.25m + 50
Step-by-step explanation:
Let c = cost; let m = number of minutes.
c = 0.25m + 50
x = 4: 3x3 - 2x2 +10
Answers
Answer:
170
Step-by-step explanation:
3(4)³ - 2(4)² + 10
192 - 32 + 10 = 170
Find x and y plz help me show work
Answers
Answer:
Sorry but the photo is not clear
Simplify: 6x^-2
a) 1/6x^2
b) 6/x^2
c) x^2/6
d) 1/36x^2
Answers
Answer:
The correct answer choice is option B. 6/x^2
Step-by-step explanation:
Answer:
6/x^2
Step-by-step explanation:
6 * x^-2
We know that a^ -b = 1/a^b
6 * 1/x^2
6/x^2