[tex] \huge{ \boxed{ \bf{ \red{Problem:-}}}}[/tex]
Solve for x: 3/2 + 1/2x =2x[tex] \huge{ \boxed{ \bf{ \red{Solution:-}}}}[/tex]
[tex] \bold{ \frac{3}{2} + {\frac{1}{2} x = 2x}}[/tex]
[tex] \bold{ ⇒\frac{3}{2} + {\frac{x}{2} = 2x}} [/tex]
[tex] \bold{⇒\frac{3 + x}{2} = 2x}[/tex]
[tex] \bold{⇒3 + x = 2(2x)}[/tex]
[tex] \bold{⇒3 + x = 4x}[/tex]
[tex] \bold{⇒3 = 4x - x}[/tex]
[tex] \bold{⇒ \frac{3}{3} = x}[/tex]
[tex] \bold{ \therefore{x = 1}}[/tex]
Hope it's helpfulA person sent 213 copies of a junk mail via email. Each email consisted of 2 bytes of data. How many bytes of data were sent altogether? Express the answer in exponential notation.
Step-by-step explanation:
a person sent 213 copies of junk via email
each email consisted of 2 bytes
then 213×2=426
1) (3x-5)^2
2) (3xy-1/3)^2
1)
=(3x)² - 2 × 3x × 5+5²
=3²x²2 × 3x × 5+5²
=9x² -2 × 3x × 5 + 5²
=9x² -2 x 3x x 5 + 25
=9x²30x + 25
35n^2+371n+882. Factor
Answer:
7(x+7)(5x+18)
Step-by-step explanation:
Answer:
factors are (5n + 8)(n + 7)
Step-by-step explanation:
[tex] {35n}^{2} + 371n + 882 \\{ \sf{sum = \frac{371}{35} \: and \: product = \frac{882}{35} }} \\ factors= (5n + 8)(n + 7)[/tex]
Find the greatest commonFoctor for these
numbers 18, 42, 96
Answer:
The greatest common factor for 18,42 and 96 is 6.
Step-by-step explanation:
6 X 3 = 18
6 X 7 = 42
6 X 16 = 96
making 6 your largest common factor.
What is Slope=2, y-intercept =5
y = 2x + 5
x= -3 , y= -11x= -2 , y= -9x= -1 , y= -7x= 0 , y= 5x= 1 , y= 7x= 2 , y= 9x= 3 , y= 13
3a + 2b = 17, b = 4a - 30
If ∠AOB, ∠BOC, and ∠COD are supplementary angles, then what is the value of x and m∠COD?
A.
x = 20; m∠COD = 50°
B.
x = 20; m∠COD = 70°
C.
x = 50; m∠COD = 20°
D.
x = 30; m∠COD = 80°
Answer:
B
Step-by-step explanation:
x=180-90-20-50=20
m∠COD=20+50=70
Answer:
B
Step-by-step explanation:
∠ AOB + ∠ BOC + ∠ COD = 180° ( AOD is a straight line ) , then
20 + 90 + x + 50 = 180 , that is
x + 160 = 180 ( subtract 160 from both sides )
x = 20
Then
∠ COD = x + 50 = 20 + 50 = 70°
Solve the following complex equation
18+22i=3x-2yi
Answer:
[tex]this \: a \: complex \: equation \: so \: compare \\ \: real \: term \: and \: imaginary \: term \\ so \\ 18 = 3x \: \: and \: 22i = - 2yi \\ x = \frac{18}{3} \: \: \: \: and \: y = \frac{22i}{ - 2i} \\ x = 6 \: \: \: y = - 11 \\ then \: 6 \times 3 - - 2 \times 11i \\ = 18 + 22i \\ thank \: you[/tex]
Please help I’ll mark brainlist
Answer:
⚪ 4: three right triangles and one acute-angled triangle.
Step-by-step explanation:
[tex].[/tex]
Find the perimeter. Simplify your answer.
W+1
w+1
W+1
W+1
w + 1 + w + 1 + w + 1 + w + 1 =
= w + w + w + w + 1 + 1 + 1 + 1 = 4w + 4 ← the end
Which describes the process that could be used as the first step in solving this equation? 6x = 4 + 5(x + 8) A) Combine like terms by adding 4 + 5. B) Use distributive property to multiply 5(x + 8). C) Use division property of equality to divide both sides of the equation by 6. D) Use subtraction property of equality to subtract 6x from both sides of the equation.
Answer: B) Use distributive property to multiply 5(x + 8).
Step-by-step explanation:
trust me its right
The first step in solving this equation 6x = 4 + 5(x + 8) is,
⇒ Use distributive property to multiply 5(x + 8).
Option B is true.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ 6x = 4 + 5(x + 8)
Now, We can solve the expression as;
⇒ 6x = 4 + 5(x + 8)
⇒ 6x = 4 + 5x + 40
⇒ 6x - 5x = 44
⇒ x = 44
Thus, The first step in solving this equation is,
⇒ Use distributive property to multiply 5(x + 8).
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
find the complement of the B in universe U. U is the set of natural numbers less than or equal to 8. B is the set of even factors of 8.
Answer:
{1,3,5,6,7,8}
Step-by-step explanation:
U={1,2,3,4,5,6,7,8}
B={2,4}
B is even factors so you won't start with one
The complement of set B will be {1, 3, 5, 6, 7}
A set is an arrangement or collection of numbers. Given the universal sets:
Natural numbers are positive integers starting from 1. Hence the universal set will be:
U = {1, 2, 3, 4, 5, 6, 7, 8}
Factors of 8 are 1, 2, 4 and 8
Set of even factors of 8 will be 2, 4 and 8
B = {2, 4, 8}
Compliment of a set B are sets that are in the universal set but not in set B. Hence the complement of B will be {1, 3, 5, 6, 7}
Learn more here: https://brainly.com/question/18203375
Find the perimeter in units of a polygon with the given vertices (4,-3),(7,10)(-8,2)
Answer:
take the length of each side, and multiply it by the number of sides I'm not sure why you have coordinates
Step-by-step explanation:
What is the sum of a rational number but a product of an irrational one.
I'm going to only focus on part B
If 'a' and 'b' are rational numbers, then
a = p/qb = r/swhere p,q,r,s are integers. Also, q and s are nonzero. In fact, this context would make sense to also have p and r to be nonzero as well.
The perimeter of this rectangle is
P = 2*(length+width)
P = 2*(a+b)
P = 2*(p/q + r/s)
P = 2*(ps/qs + qr/qs)
P = 2*( (ps+qr)/qs )
P = (2ps+2qr)/qs
P = integer/integer = some rational number
We see that the perimeter P is rational if and only if 'a' and 'b' are rational.
From this, notice that the area is
area = length*width = a*b = (p/q)*(r/s) = (pr)/(qs)
Showing that the area is also rational.
If we wanted the area to be irrational, then we'd have to have either 'a' and/or 'b' irrational; this would then make the perimeter irrational as well. This contradiction is sufficient to show that case B is not possible.
There is no way to have a rational perimeter but an irrational area.
The first person to answer this correctly gets Branilist!
Step-by-step explanation:
1)8x-2x=35-17
6x=18
x=18/6
x=3
2)7k-2k=-37-8
5k=-45
k=-45/5
k=-9
3)m-9m=-13-3
-8m=-16
8m=16
m=16/8
m=2
4)-4y+3y=12-6
-y=6
y=-6
5)6a-2a=-40
4a=-40
a=-40/4
a=-10
6)5w+2w=55+29
7w=84
w=84/7
w=12
7)5p-13p=-43+11
-8p=-32
8p=32
p=32/8
p=4
8)-c-5c=-2+50
-6c=48
c=-48/6
c=-8
log(12), round to the nearest thousandths?
Answer:
1.079.
Step-by-step explanation:
Use ur calculator.
1458 smallest whole number by which it should be multiplied so as to get a perfect square number.also find the square root of the square number obtained
9514 1404 393
Answer:
254Step-by-step explanation:
The prime factorization of 1458 is ...
1458 = 2·3^6
The exponent of 3 is even, but we need another factor of 2 to make the exponent of that factor even. You will get a perfect square by multiplying by 2.
√(2·1458) = √2916 = 54
Multiplying by 2 will give the square of 54.
I AM SO CONFUSED HELP PLS
Answer:
x goes up 1 and f(x) is subtracting 3
how do you find x the problem is 9x = -22
Answer:
x = -22/9 or, x = -2.44 in decimal form
Step-by-step explanation:
9x = -22
/9 /9 (divide both sides by 9)
-------------
x = -22/9 (when converted to decimal form, you get x = -2.44)
In the following statement, change the percent to a reduced fraction. Then diagram the statement and answer the questions.
Twenty-five percent of three dozen plants are blooming.
a. What fraction of the total number of plants are not blooming?
b. How many plants are not blooming?
Answer:
a. 3/4 b. 27
Step-by-step explanation:
We know 25% percent are blooming, since 100-25 = 75, 75% aren't blooming.
Since 1 / 4 = 0.25, 3/4 = 0.75, so for question a. 3/4 of the plants aren't blooming.
For question b, we know there are three dozen plants, which is 3 * 12 = 36 plants.
75% of 36 = 36 * 0.75 = 27 plants aren't blooming.
Help please. Domain ASAP
Answer:
x ≥ -1
Step-by-step explanation:
The domain is all the possible x-values of the function.
Reading from left to right, the first x-value is x = -1 (which is included because the dot is filled in.) From there, the graph goes to the right, towards infinity.
So x is greater than or equal to -1.
x ≥ -1
please answer this correctly dont answer it wrong please:):):):)
Answer:
the difference is £0.3 because I have calculated 25% of £1.20 and got£0.3 meaning the Doughnuts at the second shop costs £1.5 which is the sum of 25% of £1.2 and £1.2 and the difference between£1.5 and £1.2 is £0.3
find the cube root of 5832
Answer:
18
hope it helps
What statement is true about these two triangles?
Answer:
Step-by-step explanation:
c
A particular brand of milk is sold in 1L and 2L bottles. If the shop owner orders 120L of milk and receives 97 bottles in total, calculate how many of each size the shop owner receives.
Answer:
74 1L bottles and 23 2L bottles
Step-by-step explanation:
We can use algebra to figure out the answer
let the 1L bottles be called m and the 2L bottles be called n
We know that:
(1) m+n = 97
and
(2) m+2n(2L bottles) = 120L
(2) - (1)
m+2n-m-n = 120-97
n = 23
and so
m = 74
Therefore, The shop owner receives 74 1L bottles and 23 2L bottles
Which graph shows the function f(x) = x with an input of f(x – 3)?
Please Help I really need this to not get behind in my math class.
I would award more points but I fear people are just gonna answer with no actual answer and just for points….
Answer:
1. 12x+19
2.11x+16
3.54
4.3x+5x+8
Step-by-step explanation:
I first wrote the question and grouped like terms.So after grouping these you will get x+2x+8x +x +7 + 2+10 .When you simplify you wil get 12x+19 . If you don't understand comment me
The area of triangle ABC is
square units.
Answer: Area = 17.5 unit²
Concept:
Here, we need to know how to calculate the area of a triangle.
Area (triangle) = b · h · (1/2)
b = base
h = height
Solve:
Given information (By counting grids on the graph)
b (AB) = 7
h (BC) = 5
Given expression
Area = b · h · (1/2)
Substitute values into the expression
Area = (7) · (5) · (1/2)
Simplify by multiplication
Area = (35) · (1/2)
Area = [tex]\boxed{17.5}[/tex]
Hope this helps!! :)
Please let me know if you have any quesitons
The equation of a line in the point-slope form is show below. 4 – 9 = (x – 2) What is the slope of this line?
Answer:
undefined
Step-by-step explanation:
4 - 9 = x - 2
-5 = x - 2
-3 = x
this is a vertical line (parallel to the y-axis) at x = -3.
that means the slope of this line is "undefined". or some would call it "infinite".
as the slope is the ratio of y/x describing how many units y changes, when x changes a certain amount of units.
now the change of x for this line is constant 0.
so, we have a slope y/0, which is undefined.
Expand and simplify 5)3x+2)-2(4x-1)
Answer:
It is 7x + 12
Step-by-step explanation:
[tex]5(3x + 2) - 2(4x - 1)[/tex]
open brackets:
[tex] = 15x + 10 - 8x + 2[/tex]
group like terms together:
[tex] = (15x - 8x) + (10 + 2)[/tex]
factorise out x :
[tex] = x(15 - 8) + 12 \\ = 7x + 12[/tex]