Answer:
[tex]x = 2[/tex]
Step-by-step explanation:
[tex]3\left(12x-16\right)=4\left(12-3x\right)[/tex]
First, let's solve the brackets. Use the distribution property. It simply means multiplying the value outside of the brackets to each value inside the brackets.
[tex]3\left(12x-16\right)[/tex]
[tex]=3\cdot \:12x-3\cdot \:16[/tex]
[tex]=36x-48[/tex]
[tex]4\left(12-3x\right)[/tex]
[tex]=4\cdot \:12-4\cdot \:3x[/tex]
[tex]=48-12x[/tex]
Now we've simplified the expression to:
[tex]36x-48=48-12x[/tex]
[tex]\mathrm{Add\:}48\mathrm{\:to\:both\:sides}[/tex]
[tex]36x-48+48=48-12x+48[/tex]
[tex]36x=-12x+96[/tex]
[tex]\mathrm{Add\:}12x\mathrm{\:to\:both\:sides}[/tex]
[tex]36x+12x=-12x+96+12x[/tex]
[tex]48x=96[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}48[/tex]
[tex]\frac{48x}{48}=\frac{96}{48}[/tex]
[tex]\bold{x=2}[/tex]
Therefore, the answer is [tex]x = 2[/tex]
The solution of the given equation [tex]0. 3(12x - 16) = 0. 4(12 - 3x)[/tex] is [tex]x=2[/tex].
Given equation,[tex]0. 3(12x - 16) = 0. 4(12 - 3x)[/tex]
Use the simple rules of algebra like the BODMAS rule to get the equivalent expression for the given equation.
Simplified expression:Firstly, open the brackets and then multiply the coefficients. In the next step arrange the terms to get the simplified solution.
On Solving the brackets, we get
[tex]3.6x-4.8=4.8-1.2x\\[/tex]
[tex]3.6 \ x+1.2 \ x=4.8+4.8[/tex]
[tex]4.8 \ x=9.6 \\x=\dfrac{9.6}{4.8} \\[/tex]
[tex]\ x= 2[/tex]
Hence, the solution of the given equation is [tex]x=2[/tex].
For more details about expressions follow the link:
https://brainly.com/question/545403
Why can't x^2+9 be factored? And is there a way to tell if a problem can be factored or not just by looking at it?
Answer:
There are no like terms
Step-by-step explanation:
×^2+9
=ײ+9
A multiple-choice test has five questions, each with four choices for the answer. Only one of the choices is correct. You randomly guess the answer to each of the questions. Find the probability that you answer three of the questions correctly. Find the probability that you answer at most two of the questions correctly.
Solve the equation by finding square roots. x2-1/4=0
Answer:
x = ±1/2
Step-by-step explanation:
x^2-1/4=0
Add 1/4 to each side
x^2 -1/4+1/4 = 0+1/4
x^2 = 1/4
Take the square root of each side
sqrt(x^2) = sqrt(1/4)
x = ±1/2
State the slope of the line shown below (help ASAP)
Is it a, b, c or d?
Answer:
D
Step-by-step explanation:
(the above graph depicts a horizontal line that intersects the y axis at -2)
(so, y = -2)
Answer:
0
Step-by-step explanation:
Horizontal line x axis is 0 while the vertical y axis is undefined.
A car salesman claims that the variance of prices on convertibles is higher than the variance on station wagons. To test this claim, he selects random samples of each type of car, and records the prices. The standard deviation of 16 convertibles is $6800 and the standard deviation of 24 station wagons is $3900. For , what is the p-value? Group of answer choices
Answer:
Hence the critical value for the right-tailed test is [tex]F_{15,23,0.05}=2.1282[/tex]. Since the test value is greater than the critical value so we reject the null hypothesis.
Step-by-step explanation:
Hypotheses are:
[tex]H_{0}:\sigma_{1}^{2}=\sigma_{2}^{2}\\H_{a}:\sigma_{1}^{2}>\sigma_{2}^{2}[/tex]
Here we have s_{1}=6800 and s_{2}=3900. Here we will use F -test. The Value of test statistics is
[tex]F=\frac{s_{1}^{2}}{s_{2}^{2}}\\\\F=\frac{6800^{2}}{3900^{2}}\\\\F=3.0401[/tex]
Here the degree of freedom of the numerator is [tex]df_{1}=n_{1}-1=16-1=15[/tex] and The degree of the denominator is
[tex]df_{2}=n_{2}-1 \\\\=24-1=23 .[/tex]
The critical value for the right-tailed test is [tex]F_{15,23,0.05}=2.1282[/tex]. Since the test value is greater than the critical value so we reject the null hypothesis.
Answer:
Step-by-step explanation:
Can someone help me
Answer:
G' (-2,-1) F' (-5,0) E' (-4,3)
Step-by-step explanation:
This is because R90(x,y)=(-y,x)
G(-1,2)=G'(-2,-1)
F(0,5)=F'(-5,0)
E(3,4)= E'(-4,3)
The number of pairs of corresponding angles formed by a transversal of two
lines is
Answer:
When a transversal intersects with two parallel lines eight angles are produced. The eight angles will together form four pairs of corresponding angles.
What is the value of x?
Answer:
x=5
Step-by-step explanation:
Since both of these length are equal, 6x+4=8x-6, 2x=10, x=5
Here are the ages (in years) of 8 professors at a college.
61, 42, 61, 34, 49, 44, 36, 47
What is the percentage of these professors who are younger than 47?
Answer:
50%
Step-by-step explanation:
There are 8 professors. 4 of them are younger than 47 (not equal to 47, YOUNGER)
1. 42
2. 34
3. 44
4. 36
To find percentage we have to do 4/8 x 100
this equals to 50%
Also the same as the other problem
Answer:
30-60-90
Step-by-step explanation:
A 30-60-90 triangle is a right angled triangle
Please mark it as brainliest if it helped
Answered by Gauthmath
Answer:
A (30 - 60 - 90) right triangle has the side ratios: [tex]x, x\sqrt{3}, 2x[/tex].
Step-by-step explanation:
A right triangle with the angle measures (30 - 60 - 90) is often referred to as a special right triangle becaase its sides follow the following ratio,
The side; Angle it's opposite to;
[tex]x[/tex] 30
[tex]x\sqrt{3}[/tex] 60
[tex]2x[/tex] 90
Which inequality is represented by this graph?
Answer:
x> 0
Step-by-step explanation:
There is an open circle at 0 so this means it is not equal to
The line goes to the right so x is greater than
x> 0
Evaluate the expression when b=4.
b^2-7b+3
Answer:
16-28+3 do it now ok!!!!!!
Answer:
If b=4,
b^2-7b+3
=4^2-7(4)+3
=16-28+3
=-9
the perimeter of equilateral triangle is 21m. Find the area. Using Heron's Formula
plzzz answer fast i will mark brainliest.
Answer:
A ≈ 21.22 m²
Step-by-step explanation:
The area (A) of a triangle using Heron's formula is
A = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]
where s is the semi perimeter and a, b, c the sides of the triangle.
Here the perimeter of the equilateral triangle is 21 m , then
a = b = c = 21 ÷ 3 = 7 m
s = 21 ÷ 2 = 10.5
Then
A = [tex]\sqrt{10.5(10.5-7)(10.5-7)(10.5-7)}[/tex]
= [tex]\sqrt{10.5(3.5)(3.5)(3.5)}[/tex]
= [tex]\sqrt{450.1875}[/tex]
≈ 21.22 m² ( to 2 dec. places )
the scale of a map is 1cm to 12km what is the distance on land if the length from town A to town B on the map is 15cm
Answer:
180 km
Step-by-step explanation:
1 cm=12 km
15 cm=12×15=180 km
What is the surface area of the cylinder?
•9377 ft2
•5787 ft2
•1,156 ft2
•2891 ft2
Answer:
3631.681108 ft^2
Step-by-step explanation:
The surface area of a cylinder is
SA = 2pi r^2 + 2pi r h where r is the radius and h is the height
= 2pi (17)^2 + 2 pi (17)(17)
= 578pi +578pi
= 1156pi
Approximate pi with the pi button
3631.681108 ft^2
HELP OVER HERE LOL !!
Find the measure of the intercepted arc
Answer:
arc GH = 74°
Step-by-step explanation:
The inscribed angle GFH is half the measure of the intercepted arc aGH, then
arc GH = 2 × 37° = 74°
Two numbers have a sum of 35 and an
LCM of 42. What are the two numbers?
HELP PLEASE <3
Answer:
14, 21
Step-by-step explanation:
LCM : least common multiplier.
x + y = 35
LCM = 42
means that there is a combination of 2 of the following divisors of 42 :
2, 3, 6, 7, 14, 21
so, which two of these numbers can create the sum of 35 ?
only 14 and 21
I need help to find y=
Answer:
I know but I will not tell you have to do by self
Four thousand runners began the marathon. Eighty-nine percent of them completed the run. What percentage of the runner finished the marathon?
Answer:
3560 people.
Step-by-step explanation:
You have to do 89% × 4000.
Or 0.89×4000=3560.
So 3560 is the answer.
I need help finding the shaded area for d, e and f please and thank you
Answer:
d, 64.26 e, 27.475 f, 126.14
Step-by-step explanation:
For d, the diameter is 12 and the equation to find the circle is πr2. 6 is the radius, so 6x6=36, and 36x3.14 cause π=3.14. 36x3.14=113.04, and we have to divide by 2 cause its only half of the circle is shaded. 113.04/2=56.52. Now we have to do 12x12 to find the whole area of the square which is 144, then 144-113.04 cause we are finding the shade outside of the circle, so 144-113.04=30.96. Finally we divide by four of the outside corners, so 30.96/4=7.74. 7.74+56.52=64.26
So D is 64.26
WARNING: The rest of them i'm not gonna explain much of it i'm just gonna say what to do, but i'll put the answers! they are all very similiar. Also, i might be wrong, so if i'm wrong i'm sorry, i'm learning too!
For E, we have to find the smaller circle that has diameter of 10, then the bigger circle is diameter of 15, so find the area of the bigger circle then minus the smaller circle than divide by 2.
78.5-23.55=54.95
54.95/2=27.475
for F, we have to find the area of the half circle with diameter of 14, so find the area of the whole circle, and we dont have to divide two cause we have the other half on the other half, and half plus a half is a whole. Then we have to do 20x14 to find the whole square minus the circle.
280-153.86=126.14
Remember this might be wrong, so sorry if it is
What is the value of x?
Answer:
126
Step-by-step explanation:
Answer:
126°
Step-by-step explanation:
x = (87+165)/2
x = 252/2
x = 126
Answered by GAUTHMATH
James is studying the decline of a certain bird species. James’ observations are as follows: Year 1900 1950 1990 2005 Population (in thousands) 6012 72 2 .5 What is the best fit exponential decay equation for this decline? 5=6012(1-0.06)105 At what year did the population first drop below 1,000,000? If this trend continues, what will be the population in 2020?
Alaina wants to decide whether her current cell phone plan is better than a package that another company offers. To compare the two plans, she plotted two lines on a graph, where y represented the total cost of one month’s service and x represented the megabytes of data that she used in a month. Which part of the graph will represent the cost per megabyte of data used in each plan?
Answer:
The y-intercepts of the two lines will represent the cost per megabyte of data used in each plan.
Step-by-step explanation:
i also took the test
Answer:
The y intercept forms the two lines.
Step-by-step explanation:
I just took the test
Stuck on this question need help
Answer:
4y4 the 1st one
may this help you
25. Several functions represent different savings account plans. Which functions are linear?
A. y = 3.6 x2
B. y = 5.25 x
c. y = 0,5 Х
D.y = 2.5 x +7
E. y = 2.50(1.3)*
NEED HELPP
Answer:
b, c, d
Step-by-step explanation:
y=kx+b
or
y=kx
so y=5,25x-right
y=0,5x-right
y=2,5x+7-right
The difference between interior angle in centesimal measurement and sexagesimal measurement is 15° of a regular polygon. Find the number of sides of the polygon.
Answer:
8
Step-by-step explanation:
x = centesimal angle (100 degrees in a right angle)
y = sexagesimal angle (90 degrees in a right angle)
x - y = 15
x×90/100 = y
x×9/10 = y
x - x×9/10 = 15
10x/10 - 9x/10 = 15
x/10 = 15
x = 150
y = 150×9/10 = 15×9 = 135
using centesimal system :
the sum of all external angles in a polygon is 400 degrees (a full circle).
one external angle is the complement of one internal angle to 200 degrees = 200-150=50 degrees.
to find the number of sides of the polygon we need to find the number of angles or corners. and that is how many external angles fit into the full circle.
n = 400/50 = 8
the polygon has 8 sides
Calculate the average speed in km/h for a plane that travels 1300km in 4 hours??
Answer:
The plane is going 325 kilometers per hour :)
Step-by-step explanation:
To find the average speed per hour, divide 1300 by 4.
1300/4 = 325
complete the square x^2+45=-14x
URGENT!!! ABCD is parallelogram. If m
Answer:
angle BAD= angle BCD = 100
then,
angle BCD + angle ECD = 180
100+ angle ECD = 180
angle ECD= 180-100 = 80
angle ECD =80
Please help
Solve for x
Answer:
X=15 since it the same
Step-by-step explanation:
X is simply equal to 15 because it an equilateral triangle