Answer:
x = 12
Step-by-step explanation:
Solve for x:
[tex] \longrightarrow [/tex] 5 (x - 6) = 2(x + 3)
Expand out terms of the left hand side:
[tex] \longrightarrow [/tex] 5x - 30 = 2(x + 3)
Expand out terms of the right hand side:
[tex] \longrightarrow [/tex] 5x - 30 = 2x + 6
Subtract 2x from both sides:
[tex] \longrightarrow [/tex] (5x - 2x) - 30 = (2x - 2x) + 6
5x - 2x = 3x:
[tex] \longrightarrow [/tex] 3x - 30 = (2x - 2x) + 6
2x - 2x = 0:
[tex] \longrightarrow [/tex] 3x - 30 = 6
Add 30 to both sides:
[tex] \longrightarrow [/tex] 3x + (30 - 30) = 30 + 6
30 - 30 = 0:
[tex] \longrightarrow [/tex] 3x = 6 + 30
6 + 30 = 36:
[tex] \longrightarrow [/tex] 3x = 36
Divide both sides of 3x = 36 by 3:
[tex] \longrightarrow [/tex] [tex] \sf \dfrac{3}{3}x = \dfrac{36}{3} [/tex]
[tex] \sf \dfrac{3}{3} = 1: [/tex]
[tex] \longrightarrow [/tex] [tex] \sf x = \dfrac{36}{3} [/tex]
[tex] \sf \dfrac{36}{3} = 12: [/tex]
[tex] \longrightarrow [/tex] x = 12
Answer: 12
Step-by-step explanation: On Edge!!!!!!!!!!!!!!!!!!!
Simplify
(35)2
3-2
312
39
38
310
Answer: The answer is 3^12.
Step-by-step explanation:
Answer:
3^12
Step-by-step explanation:
Match the graph shown with the following equation
Answer a and b please
Answer:
a) D b)B
Step-by-step explanation:
a) the graph is of negative slope as it slants downwards hence slop/gradient is negative. y intercept is positive so only option d is right
b) sub each option point into 3y = 2x - 1 if they equate to be the same, it is correct.
3(2) = 2(6) - 1
6 = 11 (not equal)
3(1) = 2(2) - 1
3 = 3 (equal) this is the answer
of course you can sub in the rest to confirm but I'm lazy so yeah I'll stop here
Topic: Linear Graphs and its equations
If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
Use the table to find the ratio. Enter the ratio as a fraction in simplest form.
Color of socks white black blue brown
Number of socks 5 8 4 6
The ratio of blue socks to nonblue socks is-
Answer:
4/19
Step-by-step explanation:
The tail of a kite is 1.5 feet plus twice the length of the kite. Together, the kite and tail are 15.5 ft long. Find the length of the tail.
What is the length of the kite?
7 ft
10 8/15 ft
5 2/3 ft
4 2/3 ft
Answer:
c i think your answer is c
Step-by-step explanation:
A quadratic equation that has X-intercepts of (-2,0) and (8,0), a stretch of 3, and the vertex is a minimum.
a. Factored form equation:
b. Vertex form equation:
c. Standard form equation:
Answer:
a. y = 3 × (x + 2)(x - 8)
b. y = 3·(x - 3)² - 75
c) y = 3·x² - 18·x - 48
Step-by-step explanation:
The x-intercept of the quadratic equation are (-2, 0), (8, 0)
The stretch of the quadratic equation = 3
We have;
a. The factored form y = 3 × (x + 2)(x - 8)
b. From the vertex form, we have;
y = 3 × (x + 2)(x - 8) = 3·x² - 18·x - 48
y = 3·x² - 18·x - 48
The vertex form a(x - h)² + k
Where;
h = -b/(2·a) = 18/6 = 3
h = 3
k = c - b²/(4·a) = -48 - (18²)/12 = -75
The vertex form 3·(x - 3)² - 75
c) The standard form of the quadratic equation, y = a·x² + b·x + c
The standard form of the quadratic equation is y = 3·x² - 18·x - 48.
The window of a room is 20m long and 14m wide. If the
carpenter works to put a metallic frame around it which
costs Rs. 120per metre, then how much will the metallic
frame cost?
Answer:
$8160.00
Step-by-step explanation:
First find the perimeter: 40+28=68
So multiply 68 meters by the price per meter: 68*120=8160
Hope this helps!
Step-by-step explanation:
Answer:
Length =20 m
Breadth =14 m
Perimeter =2(l+b)
2(20+14)=2*34=68 m
Given cost per m =120 rs
Then the total cost =68*120=8160 rs
proportional relationships and graphs
and what is y=3x
Answer:
Well there isn't really a question
Step-by-step explanation:
y=3x means anything on the x axis times 3 = the number on the y axis. This is an example of an proportional relation ship and will create a straight line on a graph.
1. Anne wants to join five pieces of paper together. She plans to use 3 rectangular pieces of the same size and 2 square pieces of the same size. The length of each rectangular piece is 3 1/2 feet. The width of each rectangular piece, w, is the same as the length of each square piece. The expression below can be used to find the total surface area of the five pieces of paper. Anne decides that the width, w, of the rectangular pieces should be 2 feet. What is the total surface area, in square feet, of all five pieces of paper?
Answer and explanation:
Surface area of a rectangle = length * width
Surface area of a square = a² where a is length of a side
To find total surface area of the the five pieces of paper, we add up all the areas of all the shapes
Given that length of rectangle =3.5
And width = 2
Area of rectangle =3.5*2=7
Area of 3 rectangles given they are all equal = 7*3=21
Since width of rectangle equal to width of square and all sides of square are equal
Area of square = 2 *2 =4
Area of the two squares =4*2=8
Total surface area of the five plane shapes = 21+8= 29
can some one please help me
Answer: Number one is C I believe
Step-by-step explanation: 4x - 5 =7
4x -5 + 5=7+5
4x=12
4x-4=12 divided by 4
x= 3
Answer:
A and D
Step-by-step explanation:
When you have an equation that has an x on one side with other things you do the opposite of the thing on the same side as the x. You would add 5 to 17 then you would divide by 4 to seperate the four from the x.
In functions one input has only one output. Since 3 has two outputs it is not a function.
Please help!!!!!!!!!
Answer:
4/9
Step-by-step explanation:
When you square an entire fraction, both the numerator and detonator get squared as well.
Answer:
its too simple see
[tex] (\frac{2}{3} ) {}^{2} = \frac{2 {}^{2} }{3 {}^{2} } = \frac{2 \times 2}{3 \times 3} = \frac{4}{9} \\ [/tex]
hope it help.......(•‿•)
if f(x)=x2+3x+5 what is f(3+h)
what is the equation of the line in slope intercept form
Answer:
y=x+20
Step-by-step explanation:
Modeling With Systems of Equations Quick Check
1 of 5Items
Assessment started: Modeling With Systems of Equations Quick Check.
Item 1
Two of the top-grossing concert tours were by a jazz band and a rock band. Together the two tours visited 177 cities. The jazz band visited 91 cities more than the rock band. Taking into account the constraint that the rock band must visit no less than 50 cities, find how many cities each group visited and determine whether the solution is viable or nonviable.(1 point)
The jazz band visited 134 cities and the rock band visited 43 cities. The solution is nonviable.
The jazz band visited 124 cities and the rock band visited 53 cities. The solution is viable.
The jazz band visited 124 cities and the rock band visited 53 cities. The solution is nonviable.
The jazz band visited 134 cities and the rock band visited 43 cities. The solution is viable.
Answer:
The jazz band visited 124 cities and the rock band visited 53 cities. The solution is viable.
Step-by-step explanation:
Answer:
The jazz band visited 124 cities and the rock band visited 53 cities. The solution is nonviable.
Step-by-step explanation:
Solve: 50 - m = 68
helpoo
Answer:
-18
Step-by-step explanation:
Switch it around.
M = 50 - 68
M = -18
Answer:
-18
Step-by-step explanation:
50 - -18 = 68 because when every you subtract a negative number it really adds the absolute value of the number.
50 - -18 = 50 + 18 = 68
-4 (-3 + 5 + (-2)) show all steps
Answer:
0
Step-by-step explanation:
-4(-3 + 5 + (-2))
-4(-3 + 5 -2)
-4 • 0
0
Answer:
= 0
Step-by-step explanation:
-4(-3 + 5 +(-2 ))
get rid of the "( )"
-4 (- 3 + 5 - 2)
calculate the sum
-4 x 0
anything times 0 = 0 so the answer is;
0
If a cyclist rides at a constant rate of 24 miles per hour, how long would it take the cyclist to ride 120 miles?
Answer:
it is 4.25
Step-by-step explanation:
divide 120 by 24 and you will get 4.25
Pls help please show work and steps
Answer:
No/ False.
Step-by-step explanation:
1.) Substitute the coordinates to the given inequality; x is 2, and y is 2. Then, solve.
[tex]2x-3y\geq 6\\2(2)-3(2)\geq 6\\4-6\geq 6\\-2\geq 6[/tex]
Negative 2 (-)2 is NOT GREATER THAN OR EQUAL to Positive 6 (+6), therefore it is a FALSE STATEMENT.
Answer:
no
Step-by-step explanation:
its in the picture. -2 is not greater than or equal to 6
x-2y=8 in y=mx+b please help me
Answer:
[tex]y \frac{1}{2}x - 4 [/tex]
2 points
Question 12: H. Howard Hughes, Professor Emeritus of Texas Wesleyan
College, and his wife Erin Connor Hughes attended a record 6136
theatrical shows. Write an expression for the number of shows they
attended per year if they accumulated the record over "Y" years. *
Answer:
6136 / Y
Step-by-step explanation:
Total number of theatrical shows = 6136 shows
Total shows was attended over a period of Y years
Hence, number of shows attended per year:
(Total Number of shows / period of years between which shows was attended)
= 6136 / Y
74ft
24ft
b
What is the length of the missing leg?
Answer: 70
Step-by-step explanation:
a^2 + b^2 = c^2
24^2 + b^2 = 74^2
576 + b^2 = 5,476
-576 -576
b^2 =4,900
(square root)
b =70
What is the slope indicated in the table below?*
X. 8 6 4 2
Y. 2 4 6 8
Answer:
-1
Step-by-step explanation:
in order to find the slope you need to look at the change in x over the change in y. x is decreasing by 2 every time, and y is increasing by 2. you now have -2/2 simplify and you get -1
Plz answer if uk theses answer
A coordinate plane with a line passing through (0, negative 3), (2, 0), and (4, 3).
Which equation represents the graphed function?
–3x + 2 = y
–x + 2 = y
x – 3 = y
2x – 3 = y
Answer:
I don't see the answer but it is 3/2x - 3 = y
Step-by-step explanation:
did it on edge 2020
The equation of the line representing the graphed function is y = ( 3/ 2 ) x - 3. Option E is correct.
What is an equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
The equation is formed by finding the slope using the coordinates ( 0,-3 ),( 2, 0 ) and ( 4, 3 ).
The slope is calculated as,
[tex]m = \dfrac{x_2-x_1}{y_2-y_1}[/tex]
x₁ = 0, y₁ = -3 and x₂ = 2, y₂ = 0.
The equation is given as,
y = mx + c
y = (-3/2)x - 3
Therefore, the equation of the line representing the graphed function is y = ( 3/ 2 ) x - 3.
The complete question is given below;-
A coordinate plane with a line passing through (0, negative 3), (2, 0), and (4, 3).
Which equation represents the graphed function?
–3x + 2 = y
–x + 2 = y
x – 3 = y
2x – 3 = y
y = ( 3/ 2 ) x - 3.
To know more about equations follow
https://brainly.com/question/2972832
#SPJ2
Find the unit rate. 2 1/4 mile in 1/4 hour
do yall know this one?
Answer:
8x
Step-by-step explanation:
it's the slope
y = 8x or y = 8/1x
Do not place /1.
The system understands that there is a invisible 1 that's how all whole number can turn into equations.
I WILL GIVE BRAINLIEST
Given ΔDEF : ΔRST, find x.
12
15
16
64
Answer:
The answer would be 12, I am very sure. :)
Sin(a+b)=15/13 Sina=2/3 find sinb
Answer: [tex]\frac{19}{39}[/tex]
Step-by-step explanation:
1. S(a+b) = 15/13
2. I tells us that sina = 2/3
3. 2/3 + sinb = 15/13
4. Solve for sinb which will be 19/39
I hope this is right.
Solve for u. 7/6=u+4/8 Simply the answer.
Answer:
plz mark brainliest
Step-by-step explanation:
16/3 or 5 1/3
Answer:
[tex]u=\frac{16}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define
[tex]\frac{7}{6} =\frac{u+4}{8}[/tex]
Step 2: Solve for u
Cross-multiply: [tex]7(8)=6(u+4)[/tex]Multiply: [tex]56=6(u+4)[/tex]Distribute 6: [tex]56=6u+24[/tex]Isolate u term: [tex]32=6u[/tex]Isolate u: [tex]\frac{32}{6} =u[/tex]Simplify: [tex]\frac{16}{3} =u[/tex]Rewrite: [tex]u=\frac{16}{3}[/tex]Step 3: Check
Plug in u into the original equation to verify it's a solution.
Substitute in u: [tex]\frac{7}{6} =\frac{\frac{16}{3} +4}{8}[/tex]Add: [tex]\frac{7}{6} =\frac{\frac{28}{3}}{8}[/tex]Divide: [tex]\frac{7}{6} =\frac{7}{6}[/tex]Here we see that 7/6 does indeed equal 7/6.
∴ [tex]u=\frac{16}{3}[/tex] is a solution of the equation.
PLS HELPPPPPPPPP!!!!!!!!!!!3. There are many bacteria that live inside of us. By some estimates there are 3.8 x 1013 bacteria that live inside each of our bodies. Each bacterium weighs, on average, 5.1 x 10-12 grams. What is the total gram
weight of bacteria in a human body? Round to the nearest gram.
Answer:
193.8
Step-by-step explanation:
a = 3.8 times 10^13 = 38,000,000,000,000
b = 5.1 times 10^-12 = 0.0000000000051
a times b = 193.8
A. Car B was 20 miles east of car A
B. Car A was 10 miles east of car B
C. Car B was 10 miles east of car A
D. Car A was 30 miles east of car B
Answer:
D
Step-by-step explanation:
Its D because If one was going 60 and then the second one went 150 on the same road. They both had to start off low and the lowest number closer to those to are 30.