The value of x according to the equation is -7/4 and the equivalent equations that Katrina might use is x - 2x - 6 = 8x + 12 - x - 4
Given the equation solved by Katrina expressed as;
x - 2 (x + 3) = 4 (2 x + 3) - (x + 4).Expand using distributive law;
x - 2x - 6 = 4(2x) + 4(3) - x - 4
x - 2x - 6 = 8x + 12 - x - 4
-x - 6 = 7x + 8
-x - 7x = 8 + 6
-8x = 14
x = 14/-8
x = -7/4
Hence the value of x according to the equation is -7/4 and the equivalent equations that Katrina might use is x - 2x - 6 = 8x + 12 - x - 4
Learn more on expressions here: https://brainly.com/question/24734894
The value of x according to the equation is -7/4 and the equivalent equations that Katrina might use is x - 2x - 6 = 8x + 12 - x - 4
Given the equation solved by Katrina expressed as;
x - 2 (x + 3) = 4 (2 x + 3) - (x + 4).
Expand using distributive law;
x - 2x - 6 = 4(2x) + 4(3) - x - 4
x - 2x - 6 = 8x + 12 - x - 4
-x - 6 = 7x + 8
-x - 7x = 8 + 6
-8x = 14
x = 14/-8
x = -7/4
Hence the value of x according to the equation is -7/4 and the equivalent equations that Katrina might use is x - 2x - 6 = 8x + 12 - x - 4
Learn more on expressions here: brainly.com/question/24734894
Find two numbers that round to 387.4 when rounded to the nearest tenth.
Answer 75-82 pls it would be amazing!!!!!
Answer:
75-82=-7
Step-by-step explanation:
e
If y varies directly as x, find y:
{(8, -12). (20, y)}
[tex]\\ \sf\longmapsto x_1y_2=x_2y_1[/tex]
[tex]\\ \sf\longmapsto 8y=-12(20)[/tex]
[tex]\\ \sf\longmapsto 8y=-240[/tex]
[tex]\\ \sf\longmapsto y=-240/8[/tex]
[tex]\\ \sf\longmapsto y=-60[/tex]
Given that Sine theta = StartFraction 21 Over 29 EndFraction, what is the value of cosine theta, for 0 degrees less-than theta less-than 90 degrees? Negative StartRoot StartFraction 20 Over 29 EndFraction EndRoot Negative StartFraction 20 Over 29 EndFraction StartFraction 20 Over 29 EndFraction StartRoot StartFraction 20 Over 29 EndFraction EndRoot.
Answer:
[tex]cos\theta=\frac{20}{29}[/tex]
Step-by-step explanation:
Problem:
[tex]sin\theta=\frac{21}{29},cos\theta=?,0^\circ<\theta<90^\circ[/tex]
Given:
[tex]sin\theta=\frac{opposite}{hypotenuse}=\frac{21}{29}[/tex]
[tex]cos\theta=\frac{adjacent}{hypotenuse}=\frac{x}{29}[/tex]
Solve for adjacent side:
[tex]a^2+b^2=c^2[/tex]
[tex]x^2+21^2=29^2[/tex]
[tex]x^2+441=841[/tex]
[tex]x^2=400[/tex]
[tex]x=20[/tex]
Final answer:
[tex]cos\theta=\frac{20}{29}[/tex]
The value [tex]\rm Cos\theta[/tex] is 20/29 and it can be determined by using the Pythagoras theorem.
Given that,
The value [tex]\rm Sin\theta[/tex] is 21/29,
Where [tex]0^{\circ}< \theta<90 ^{\circ}[/tex].We have to determine,
The value of [tex]\rm Cos\theta[/tex]?
According to the question,
To determine the value of [tex]\rm Cos\theta[/tex] following all the steps given below.
The formula of [tex]\rm Sin\theta[/tex] is,
[tex]\rm Sin\theta =\dfrac{Perpendicular}{Hypotenuse}\\\\[/tex]
On comparing to the given value of [tex]\rm Sin\theta[/tex] is,
[tex]\rm Sin\theta =\dfrac{Perpendicular}{Hypotenuse}\\\\\rm Sin\theta =\dfrac{21}{29}\\\\[/tex]
Here, Hypotenuse = 29, and Perpendicular = 21
Then,
The formula of [tex]\rm Cos\theta[/tex] is,
[tex]\rm Cos\theta =\dfrac{Base}{Hypotenuse}\\\\[/tex]
Let, the base be x,
The value of base finding by using Pythagoras theorem,
[tex]\rm {(Hypotenuse)}2 = (Perpendicular)^2+ (Base)^2\\\\ (29)^2 = (21)^2 + (x)^2\\\\841= 441 +x^2\\\\x^2 = 841-441\\\\x^2 = 400\\\\x = 20[/tex]
The value of the base is 20.
Therefore,
[tex]\rm Cos\theta =\dfrac{Base}{Hypotenuse}\\\\\rm Cos\theta =\dfrac{20}{29}\\\\[/tex]
Hence, The value [tex]\rm Cos\theta[/tex] is 20/29.
For more details about Pythagoras theorem refer to the link given below.
https://brainly.com/question/13710437
2y-7.4y=141.36
solve for y
What is the slope of the graph of
y= 5/2x+3?
-
Answer:
The slope would be 5/2.
Step-by-step explanation:
Use the formula Y=mx+b. m always represents the slope and the b is the intercept. Therefore the slope of this would be 5/2.
Write an equation of a line which has a slope of -2 and goes through the point (-4,11)
Answer:
See answers below
Step-by-step explanation:
slope-intercept form- y=-2x+3
point slope form- y-11=-2(x+4)
Use the given slope and point to substitute into the point-slope formula
then you can solve for y=mx+b
in a class of 33 student 18 play football 1"basketball and 7 play both games how many students play non of the games
Answer:
20
Step-by-step explanation:
I'm pretty sure its 20 but I could be wrong but 20 is my best guess.
Answer:
16 of the 33 plays none.
Step-by-step explanation:
From the list, we get that 18 students play football, 1 basketball, and 7 both.
What we need to do here is add up 18 and 1
then we subtract 19 by 7 to cancel out the people who play both
and then subtract the total number of 33 by 17,
which gives you 16.
find the value of x from the following figure
Answer: 70°
Oki so...
The corresponding angle in a transversal line cut by a parallel line is equal. So in this case, angle QSP is 110°
Line PSR is a straight line and a straight line angle is 180°
So, 180-110=70° (angle QSR)
Now that you know the two angle of the triangle is 40° and 70° and that a triangle is 180°
Simply, 180-(40+70)
This comes 70. So x is 70°
The area of a triangle is 40 square inches.
The base of the triangle is x + 1,
and the height is x - 1.
Find the value of x, and the dimensions of the triangle.
A = 1/2bh
Answer:
+9 and -9
Step-by-step explanation:
A 26 foot ladder is set against the side of a house so that it reaches up 24 feet. If Mila grabs the ladder at its base and pulls it 12 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 12 ft.) Round to the nearest tenth of a foot.
Answer:
13.9 ft
Step-by-step explanation:
if f(x) = 2x-1 what is f(4)
Jacob says that (12 + 31) × 5 is
equivalent to 12 + 31 x 5 because of the
associative property.
Describe the associative property
in words.
Determine if Jacob is correct. Justify
your answer.
Answer:
Step-by-step explanation:
the associative property means that when you are adding OR multiplying you can group the numbers however you want
Jacob is wrong because (12 + 31) x 5 = 215 and 12 + 31 x 5 = 167
Solve the inequality-8≤3x-17<19
Answer: The answer is X∈[3,12).
Answer:
-8≤3x-17<19
-8+8 ≤ 3x - 17 + 8 < 19 + 8
0 ≤ 3x - 9 < 27
0 ≤ 3x - 9 + 9 < 27 + 9
0 ≤ 3x < 36
0 ≤ 3x / 3 < 36/3
0 ≤ x < 12
So x can be 0 or less than 12. A number between 0 and 12
the perimeter of a square is 52cm
We know that:
Perimeter: 52cm4(side) = 52cmTo find the side, we will need to divide 52 by 4.
=> 4(side) = 52cm=> Side = 52 ÷ 4=> Side = 13cmTherefore, the side of the square with 52 cm of perimeter is 13 cm.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
how to find the legs of a right triangle with only the hypotenuse calculator
Answer:
The triangle must be an isosceles triangle so as to only get one measurement
Step-by-step explanation:
The Pythagorean theorem states that the square of the hight and base is added then square rooted to get the hypotenuse
THE FORMULA: A square+b square=c square
What is the value of the expression
Answer:
Option C) 5/8 is correct.
For explanation, Refer to the attachment.
[tex]\Large\textsf{Hope \: It \: Helped}[/tex]
Answer:
C
Step-by-step explanation:
Substitute the values for v and w into the expression.
[tex]\frac{1}{2}[/tex] + ([tex]\frac{3}{4}[/tex] - [tex]\frac{5}{8}[/tex] )
= [tex]\frac{1}{2}[/tex] + ([tex]\frac{6}{8}[/tex] - [tex]\frac{5}{8}[/tex] )
= [tex]\frac{1}{2}[/tex] + [tex]\frac{1}{8}[/tex]
= [tex]\frac{4}{8}[/tex] + [tex]\frac{1}{8}[/tex]
= [tex]\frac{5}{8}[/tex] → C
The perimeter of a rectangle is 80 feet.
Find the dimensions if the length is 5 feet longer than four times the width.
Then find the area of the rectangle.
Answer:
l=33 feet
w=7 feet
Area= 231 feet
Step-by-step explanation:
how to graph equations using x and y intercepts
Answer:
uhhh maybe ( x + 2 ) = y
Step-by-step explanation:
i dont know im on break and I don forgot how to do this
someone please help this is due in 25 minutes
28=9x-8
36=9x
x=4
:) hope it helps!
There is a string of red and blue lights strung around
a window. The red lights blink every 3 seconds, and
the blue lights blink every 5
seconds. How many
times will they blink at the same time in one
minutes?
Answer:
4 times because they will have the common number of 15 and since there is 60 seconds in a minute you would divide 60 by 15, and that equals 4
Step-by-step explanation:
Describe the transformation
Answer:
6 to the right
Step-by-step explanation:
Yes, it might be scary at first sight bexause of the square mark. But it is no more special than any other graph transformation. The sqare mark here nly indicates that this graph is a parabola, and the 6 inside shifts the graph (be careful, it is negative so it moves the graph to the RIGHT, by 6 -- the square mark doesnt apply to that).
Please find the surface area of the pyramid... I will mark you brainliest
Answer:
S.A. = 704 in²
Step-by-step explanation:
Surface area (S.A. ) = 1/2 lp + B where l is the slant height , p is the perimeter of the base, and B is the area of the base .
Given l = 14; The Base figure is a square so the p = 4· side = 4 · 16 = 64 and the area of the Base = s² = 256
S.A = 1/2 · 14 · 64 + 256
S.A. = 448 + 256
S.A. = 704 in²
Find the equation of the line that goes through ( 2, 4 ) and ( 4, 6 ).
Answer:
y=x+2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(6-4)/(4-2)
m=2/2
m=1
y-y1=m(x-x1)
y-4=1(x-2)
y=x-2+4
y=x+2
scores on a test have a mean of 66 and Q3 is 80. The scores have a distribution that is approximately normal. Find the standard deviation. Round your answer to the nearest tenth.
A) 10.5
B) 20.9
C) 9.4
D) 18.7
geometry PLEASE HELP and explain how???
Answer:
x means times
Step-by-step explanation:
if one rents a car from Airport Rent-a-Car, the charge is $79 plus 7 cents a kilometer. Savings Rent-A-Car charges $59 plus 9 cents a kilometer. If one will drive d kilometers, when is it cheaper to use Savings Rent-A-Car?
It will be cheaper to use Savings Rent-A-Car up to 1000 kilometers, from then on it will be cheaper to use Airport Rent-a-Car.
Given that if one rents a car from Airport Rent-a-Car, the charge is $ 79 plus 7 cents a kilometer, while Savings Rent-A-Car charges $ 59 plus 9 cents a kilometer, to determine, if one will drive D kilometers , when it is cheaper to use Savings Rent-A-Car, the following calculation must be performed:
79 + 0.07 x 30 = 79 + 2.1 = 81.1 59 + 0.09 x 30 = 59 + 2.7 = 61.7 79 + 0.07 x 300 = 100 59 + 0.09 x 300 = 86 79 + 0.07 x 600 = 121 59 + 0.09 x 600 = 113 79 + 0.07 x 900 = 142 59 + 0.09 x 900 = 140 79 + 0.07 x 1000 = 149 59 + 0.09 x 1000 = 149
Therefore, it will be cheaper to use Savings Rent-A-Car up to 1000 kilometers, from then on it will be cheaper to use Airport Rent-a-Car.
Learn more about maths in https://brainly.com/question/26027910
at noon, a tank contained 8 in. of water. after several hours, it contained 6 in. of water. what is the percent decrease of water in the tank?
Answer: 25%
Step-by-step explanation:
To find percent decrease, you take your final number minus your initial number, over your initial number, so you start with 6-8/8, and get 2/8 or 1/4, then you multiply that by 100, so you get 25. That's your percent decrease.
Write equations for the horizontal and vertical lines passing through the point (4-1)
Answer:
y = - 1 , x = 4
Step-by-step explanation:
The equation of a horizontal line parallel to the x- axis is
y = c
where c is the value of the y- coordinates the line passes through.
The line passes through (4, - 1 ) with y- coordinate - 1 , then
y = - 1 ← equation of horizontal line
The equation of a vertical line parallel to the y- axis is
x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (4, - 1 ) with x- coordinate 4 , then
x = 4 ← equation of vertical line
The price of an item at the store can be defined by the variable w.
Based on this information, which of the options below represents a markup in price for that item? Select all that apply.
A)0.85w
B)0.92w
C)1.1w
D)1.15w
E)1.25w
Answer:
C) 1.1w
D) 1.15w
E) 1.25w
Step-by-step explanation:
A markup is an added value. The effective multiplier of price will be greater than 1 when the markup is added. Such a multiplier is indicated in choices C, D, and E.
___
Choices A and B represent a markdown, or discount.