Number line equality to -5< =< -1
one last question! so i am doing this equation 6x-5=8x+2 but as I am doing it I got 7/-2 but in my answer key both are negative? what am I doing wrong?
this is what I have so far
6x-5=8x+2
6x-8x=5+2
-2x=7
Answer:
6x - 5 = 8x + 2
or -5-2 = 8x-6x
or -7 = 2x
or -7 / 2 = x
this is correct answer because in fraction form if one number is negative whole fraction is negative
Hey there!
IF YOUR EQUATION IS:
6x - 5 = 8x + 2
THEN:
SUBTRACT 8x to BOTH SIDES
6x - 5 - 8x = 8x + 2 - 8x
SIMPLIFY IT!
-2x - 5 = 2
ADD 5 to BOTH SIDES
-2x - 5 + 5 = 2 + 5
SIMPLIFY IT!
-2x = 2 + 5
-2x = 7
DIVIDE -2 to BOTH SIDES
-2x/-2 = 7/-2
SIMPLIFY IT!
x = -7/2
The step you had a partial mistake was step 2 because that’s not what had to simplify to get the 7/-2. You should’ve converted your equation to: -2x - 5 = 2 (as I put for STEP 1.1) but your overall result is correct x DOES equal to 7/-2.
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
inverse function of f(x)=3x-2
Step-by-step explanation:
so......im not certain about my solution,but this is what I think
f(x)=3x-2
replace f(x) with the latter Y
so its gonna be...y=3x-2
make x subject of the fomula
so is gonna be...y=3x-2
y-2=3x
x = y-2 3Csc2x=2. Please help me !!!
Answer:
[tex]x=\frac{\pi }{4}[/tex]
Step-by-step explanation:
csc(2x) = 2
is also the same as
sin(2x) = 1/2
so we have to solve for sin(x)=1/2
[tex]x=\frac{\pi }{2}[/tex]
but we want to sin(2x) = 1/2 so we make it.
[tex]\\2x=\frac{\pi }{2} \\x=\frac{\pi }{4}[/tex]
Translate into an Algebraic equation: The quotient of a number and 5
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
Translate into an algebraic equation:-
The quotient of a number and 5.
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
✳︎ First, the word "quotient" indicates that we divide.
Here, we have the quotient of a number and 5, so we divide the number by 5; let the number be d.
So the quotient of d and 5 looks as follows:-
[tex]\bold{\dfrac{f}{5}}[/tex]
Good luck with your studies.[tex]\rule{300}{1}[/tex]
The LCM of 8ab and 12a^2 is
A. 48a³b.
B.) 48a²b.
C. 24a²b.
D. 24ab.
E. 48a².
of 8ab
Answer:
C. 24a²bStep-by-step explanation:
8ab = 4a × (2b)
12a² = 4a × (3a)
Then
LCM(8ab , 12a²) = 4a × (2b) × (3a)
= (4×2×3) × (a×a×b)
= (24) × (a²×b)
= 24a²b
If the length of a rectangle is 2x + 4 and the width is x - 2. write
an expression to represent the perimeter of the rectangle.
Will Give BrainlyIst
Answer:
P = 6x +4
Step-by-step explanation:
Use the given values in the formula for the perimeter of a rectangle:
P = 2(L +W)
__
You have ...
L = 2x +4
W = x -2
So, the perimeter is ...
P = 2((2x +4) +(x -2)) = 2(3x +2)
P = 6x +4
The perimeter of the rectangle is 6x+4.
On a scale drawing, 9 inches
represents 11 miles. How many
inches represent 55 miles?
Answer: you will get 45
Step-by-step explanation:
If you do 9x5=45 and 11x5=55
So the answer would be 45
PLS NEED HELP! 40 point reward if correct. with brainiest!
I need this done before around 6 pm 5/13/2022 in western time (USA)
Answer:
Number 1 could be -x.
I don't know the answer to number 2.
Number 3 is the same as 1.
Step-by-step explanation:
sorry. i probably would know the answer if i remembered.
Kenneth bought 15 chicken sandwiches and tuna sandwiches for $35.10. Each chicken sandwich costs $2.30 and each tuna sandwich costs $2.40. How many chicken sandwiches did Kenneth buy?
Help! Can you do a guess and check? Awarding 20 points!
NONSENSE=REPORT
Answer:
the number of chicken sandwiches = 9
Step-by-step explanation:
let x be the number of chicken sandwiches
y be the number of tuna sandwiches
We have to solve this system:
[tex]\begin{cases}x+y=15&\\ 2.3x+2.4y=35.1&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=15-x&\\ 2.3x+ 2.4(15-x)=35.1&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=15-x&\\ 2.3x+ 36 -2.4x=35.1&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=15-x&\\ -0.1x + 36=35.1&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=15-x&\\ -0.1x=-0.9&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=15-x&\\ x = 9&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=15-9=6&\\ x = 9&\end{cases}[/tex]
In "The Emperor's New Clothes" what does the opening tell you about the characters?
A. Emperor is the main character
B. King is the main character
C. No main character is introduced
D. Queen is the main character
Help please?????????
HURRY PLS
Explain how an enlargement or a reduction in the dimensions of a building would cause a change in the scale factor.
The enlargement or a reduction in the dimensions of a building would cause a change in the scale factor is defined below:
What is Scale Factor?A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object. If the scale factor is a whole number, the copy will be larger. If the scale factor is a fraction, the copy will be smaller.
A dilation is a transformation that enlarges or reduces a figure in size. This means that the pre image and image are similar and are either reduced or enlarged using a scale factor.
As seen in the graphics below. A reduction (think shrinking) is a dilation that creates a smaller image, and an enlargement (think stretch) is a dilation that creates a larger image.
If the scale factor is between 0 and 1 the image is a reduction.
Using dilation scale factors, we can shrink or expand a figure to the size we desire, knowing that each angle is congruent, each segment is proportional, the slope of each segment is maintained, and the perimeter of the pre image and image have the same scale factor.
Hence, this is how an enlargement or a reduction in the dimensions of a building would cause a change in the scale factor.
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Hector is sowing grass seed in his yard. A bag of grass seed
covers an area of 50 square feet. Hector's front yard is
49 feet long and 11 feet wide. He will not be planting grass
in his backyard. How many bags of grass seed will Hector
need, rounded up to the nearest bag?
a. 9 bags
b. 10 bags
c. 11 bags
Jesse measured a farm and made a scale drawing. The scale of the drawing was 1 centimeter = 4 meters. If the actual width of the goat pen is 8 meters, how many centimeters wide is the goat pen in the drawing?
Help! Please i need it badly
Answer:
you should take the time and study
Step-by-step explanation:
The volume of a cone of height hand base radius r is given by:
The volume of a cone is calculated using the formula [tex](\frac{1}{3} )r^2h[/tex], where "h" is the cone's height and "r" is the radius of the base.
Answer:
The formula for the volume of a cone is (1/3)πr2h, where, "h" is the height of the cone, and "r" is the radius of the base.
Step-by-step explanation:
hope it helps you :)
Math
What can you say about the mean rainfall when comparing the two time periods?
The mean in period 2 is higher than the mean in period 1.
The mean in period 1 is higher than the mean in period 2.
The mean in period 1 is the same as the mean in period 2.
Answer:
[tex]\bullet \ \large\text{The mean in period 2 is higher than the mean in period 1.}[/tex]
Step-by-step explanation:
the mean in period 1 :
(2.3+2.1+2.2+2.2+2.2+2.1+2.4+2.5+2.2+2.0+1.9+1.9+2.1+2.2+2.3)÷15=21.733...
the mean in period 2 :
(2.3+2.1+3.3+1.5+3.6+1.6+3.0+1.1+4.7+2.1+2.4+1.9+2.8+0.5+2.3)÷15=23.466...
Since 23.466 > 21.733 then “The mean in period 2 is higher than the mean in period 1”.
An airplane is headed due south with an airspeed of 300 kph. A wind is blowing from the west at 120 kph. What is the ground speed and direction of the plane?
323 kph with a directional bearing of S 22° E
328 kph with a directional bearing of S 68° E
420 kph with a directional bearing of S 22° E
420 kph with a directional bearing of S 68° E
The ground speed and direction of the plane is 323 kph with a directional bearing of S 22° E
To find the ground speed of the plane, we need to know what a vector is
What is a vector?A vector is a variable that has both magnitude and direction.
Since the airplane is headed due south with an airspeed of 300 kph, its vector is V = (-300 kph)j.
Also, the wind is blowing from the west at 120 kph. Its vector is v = (-120 kph)i
Now, the ground speed of the plane V' is the resultant vector of the airspeed and wind speed.
What is a resultant vector?A resultant vector is the sum of two or more vectors.
So, V' = v + V
V' = (-120 kph)i + (-300 kph)j
So, its magnitude V' = √(x² + y²) where
x = -120 kph and y = -300 kph.So, V' = √[(-120 kph)² + (-300 kph)²]
= √[14400 kph² + 90000 kph²]
= √(104400 kph²)
= 323.11 kph
≅ 323 kph
The direction of the planeIts direction, Ф = tan⁻¹(y/x)
Ф = tan⁻¹(-300 kph/-120 kph)
Ф = tan⁻¹(2.5)
Ф = 68.2°
From the South-line we have α = 90° - Ф = 90° - 68.2° = 21.8° ≅ 22°
So, the directional bearing of the plane is S22°E.
So, the ground speed and direction of the plane is 323 kph with a directional bearing of S 22° E
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Answer:
A on edge 2022
Step-by-step explanation:
323 kph and 22 E
A store buys a bike for $140. They mark up the bike 25%. What is the selling price?
Answer:
$175
Step-by-step explanation:
Original Price = $140
Mark up (% increase) = 25%
Selling Price = Original Price (1 + Mark up)
SP = 140 (1 + 25%)SP = 140 (1 + 0.25)SP = 140 (1.25)SP = $175The manufacturer of an energy drink spends $1.20 to make each drink and sells them for $2. The manufacturer also has fixed costs each month of $8000.
Find the revenue function R when x energy drinks are sold.
Graph the solution to the following system of inequalities.
-5x+4y> -4
2x+3y2-6
Then give the coordinates of one point in the solution set.
Answer:
2/3 x 9=99+25x7(78)gxw/98
Step-by-step explanation:
help me please :/
Dana is training to run a marathon. On Monday, she ran 10.2 miles. On Tuesday, she ran 11.4 miles. On Wednesday and Thursday, she ran 11.8 miles each day. On Friday, she ran 12.3 miles. Round each amount to the nearest whole mile to find a reasonable estimate of the total number of miles Dana ran over this five-day period.
Answer:
57 miles.
Step-by-step explanation:
to find
⇒ total number of miles dana ran
given
⇒ monday = 10.2 miles
⇒ tuesday = 11.4 miles
⇒ wednesday and thursday = 11.8 miles
⇒ friday = 12.3 miles
∴ total number of miles = 10.2 + 11.4 + 23.6 + 12.3
⇒ 57.5
⇒ 57 miles
In the lab carmen has two solutions that contain alcohol and is mixing them with each other. She uses 3 times as much solution a as solution b. Solution a is 17% alcohol and solution b is 14% alcohol. How many milliliters of solution b does she use if the resulting mixture has 455 milliliters of pure alcohol?
Answer:1200
Step-by-step explanation:i might be wrong pls dont hurt me
what is 6,973 ×62 equal to
Answer:
432326
Step-by-step explanation:
i just times them together
Answer:
that should be 432,326
Step-by-step explanation:
I do not rly know how to the calculator on this app properly yet but I will try my best to explain it
×6973
62
3×2=6,2×7=14 put 4 under the 6 and take 1 to the 9,2×9 is 18,+1 that we added to the 9=19, put 9 under the 9 and take 1 to the 6 above, and 2×6=12,+1=13
and you get this first
13946
and you also multiply your 6 by all the numbers above giving you
41838
so you arrange it like this and get
13946
41838
and you add it together giving you
432,326.
and the third picture should be your answer.
You may use k to represent the constant of variation in your working if necessary.
Answer:
r = 1.6
Step-by-step explanation:
given r varies directly with m² and inversely as n then the equation relating them is
r = [tex]\frac{km^2}{n}[/tex] ← k is the constant of variation
to find k use the condition r = 18 when m = 6 and n = 4 , then
18 = [tex]\frac{k(6)^2}{4}[/tex] = [tex]\frac{36k}{4}[/tex] ( multiply both sides by 4 to clear the fraction )
72 = 36k ( divide both sides by 36 )
2 = k
r = [tex]\frac{2m^2}{n}[/tex] ← equation of variation
when m = 2 and n = 5 , then
r = [tex]\frac{2(2)^2}{5}[/tex] = [tex]\frac{2(4)}{5}[/tex] = [tex]\frac{8}{5}[/tex] = 1.6
2
Two figures are similar, and the scale factor is
2
Over
3
If a side of the larger figure is 12, then the corresponding side in the smaller figure is…..
6
8
12
18
Choose an answer
Determine which of the following statements is true concerning the values described in column #1 and column #2.
Column #1
The x-coordinate of the vertex of the graph of y = −2x2 − 4x + 12
Column #2
The x-coordinate of the vertex of the graph of y = x2 − 4x + 3
A. The value found in column #1 is greater than the value found in column #2.
B. The value found in column #1 is less than the value found in column #2.
C. The value found in column #1 is equivalent to the value found in column #2.
D. The relationship between column #1 and column #2 cannot be determined by the information given.
The following statements are true concerning the values described in columns #1 and column #2. B. The value found in column #1 is less than the value found in column #2.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree
The equation of curve 1, which is in the shape of a parabola is, when represented in general form
[tex]y = -2x^2 - 4x + 12\\\\y = -2(x^2 - 2x + 6)\\\\\dfrac{y}{-2} = (x^2 - 2x + 6)\\\\\dfrac{y}{-2} +7=(x+1)^2[/tex]
So,
x+1=0
x= -1
and,
y = 14
Therefore, the Coordinate of a vertex is (-1,14).
The x-coordinate of the vertex of the function [tex]y = -2x^2 - 4x + 12[/tex] is equal to -1.
The equation of curve 2 , which is in the shape of a parabola is , when represented in general form
[tex]y = x^2 - 4x + 3\\\\y =( x-2)^2-1\\\\y+1 =( x-2)^2[/tex]
So,
x-2=0
x= 2
and, y+1=0
y= -1
Therefore, the Coordinate of a vertex is (2,-1).
The x-coordinate of the vertex of the function [tex]y = x^2 - 4x + 3[/tex] is equal to 2.
The following statements are true concerning the values described in columns #1 and column #2. B. The value found in column #1 is less than the value found in column #2.
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What is the unfilled volume inside the cylinder? 320π cubic units 597π cubic units 640π cubic units 725π cubic units
The unfilled volume inside the cylinder is 640π cubic units
How to find unfilled volume?Volume of a cylinder = πr²h
= π × 8² × 15
= π × 64 × 15
= 960π cubic unit
h = heightr = radiusl = slant heightVolume of a cone = 1/3πr²√l² × r²
= 1/3 × π × 8² √17² × 8²
= 1/3 × π × 64 √289 × 64
= 1/3 × π × 64 √353
= 320π cubic unit
Unfilled volume = 960π cubic unit - 320π cubic unit
= 640 cubic unit
The complete question:
A solid oblique cone with a slant length of 17 units is inside an empty cylinder with a congruent base of radius 8 units and a height of 15 units. What is the unfilled volume inside the cylinder? 320π cubic units 597π cubic units 640π cubic units 725π cubic units
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Answer:
640pi
Step-by-step explanation:
what is the midpoint of (4,10) (16,0)
Answer:
Midpoint(10,5)
Step-by-step explanation:
Midpoint of coordinatesTo find the midpoints add the x-coordinates and divide that by 2 & add the y-coordinates and divide by 2
[tex]\boxed{\text{\bf midpoint=$\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$}}[/tex]
[tex]\sf = \left(\dfrac{4+16}{2},\dfrac{10+0}{2}\right)\\\\=\left(\dfrac{20}{2},\dfrac{10}{2}\right)\\\\= \left(10,5\right)[/tex]
Work out the sheet below
Answer:
It might be 235.62
Step-by-step explanation:
Answer:
[tex]235.6\ cm^3[/tex]
Step-by-step explanation:
Volume of a cone: [tex]\frac{1}{3} \pi r^2 h[/tex]
[tex]\frac{1}{3} \pi r^2 h\\r = 5\\h = 9\\\frac{1}{3} \pi (5)^2(9)\\\frac{1}{3} \times \pi \times 25 \times 9\\= 75 \pi\\= 235.619449...\\= 235.6\ \text{(1 d.p.)}\ cm^3[/tex]