Answer:
-2
Step-by-step explanation:
[tex]5x+3 = 2x -3 \\\\\implies 5x -2x = -3 -3\\\\\implies 3x = -6\\\\\implies x = -\dfrac 63 =-2[/tex]
Let's solve this equation.
Step 1
Move the numbers to the right:-
5x=2x-3-3
Step 2
Move the x's to the left
5x-2x=-3-3
Notice I use the opposite operation :)
Step 3
Combine like terms
3x=-6x
Step 4
Divide both sides by 3
x=-2
That's the value of x that makes the equation true.
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
After a 20% discount, the price of an article is 6800$. What is the original price of the article?
Answer:
The total of the discount would be 1,360.
Step-by-step explanation:
If a 6,800$ item had a 20% discount, subtract 6,800 by 20 in percentage, therefore the result would be 1,360 in discount.
Can someone explain how to get the answer, please? Thanks!
Can someone help with these questions?
Answer:
Step-by-step explanation:
#1. 5 and 51/2 since it has the greatest amount of dots and #2. 5.5, 6.0, and 8.0 since it has the least amount of dots
Answer:
1. 5 and 5 1/2
2. 5.5, 6.0 and 8.0
Step-by-step explanation:
1. Both shoe sizes had the most number of dots.
2. All three pearl sizes have the least number of dots.
9x2+x−8=0
This is class 10, Polynomials chapter.
Please somebody solve this step by step.
Answer:
Step-by-step explanation:
What is the measure of \angle D∠Dangle, D?
Answer:
74⁰
Step-by-step explanation:
As in cyclic quadrilateral sum of opposite angles us equal to 180⁰
» Which sentence about measuring angles is true? An angle that turns through 10 360 of a circle has a measure of 10°. An angle that turns through 1 of a circle has a measure of 1°. 12 An angle that turns through 10 360 of a circle has a measure of 36°. 1) An angle that turns through 1 of a circle has a measure of 12°.
The correct answer would be: An angle that turns through 10/360 of a circle has a measure of 10°
Find the slope and the y-intercept of the line.
Y=2-1/3x
Slope:- -1/3
y-intercept:- 2
Solution:-The equation of the line is written in slope-intercept form, which looks like this:- y=mx+b.In this formula, m stands for the slope, and b stands for the y-intercept of the line.In this case, the equation looks like this:- y=b+mxHowever, it does not matter. m is still the slope and b is still the y-intercept.Also, you should notice that the slope is the coefficient of x (the number next to x) and b is the constant (a number added/subtracted to/from the slope)Therefore, the slope of the line is equivalent to:--1/3And the y-intercept is equivalent to the following:-2Hope it helps.
Do comment if you have any query.
Answer:
Slope: -1/3
Y-intercept: 2
Explanation:
The equation y = 2 - 1/3x is in slope-intercept form.
The format of slope intercept is y = mx + b, where m = slope and b = y-intercept.
The slope is the coefficient of x.
Hence, the slope of y = 2 - 1/3x is -1/3.
As for the y-intercept, that is the constant.
The constant in y = 2 - 1/3x is 2. Hence, the y-intercept is 2.
For each ordered pair determine whether it’s a solution to
Y=6x-4
Answer:
The answer is in the image
Step-by-step explanation:
Let’s say that in these congruent triangles, the length of side AB in the first triangle is 6 feet. What is the length of side DE in the second triangle?
Answer:
6 feet
Step-by-step explanation:
Corresponding vertices of the congruent triangles are listed in the same order in the congruence statement. Given that ΔABC ≅ ΔDEF, that means vertices A and B correspond to vertices D and E.
Segment DE will have the same length as segment AB, 6 feet.
Answer:
6
Step-by-step explanation:
Step-by-step explanation: Is (2, 3) a solution to the equation y=x ?
Answer:
no
Step-by-step explanation:
if you substitute it:
3 = 2
but 3 is not equal to 2 so i dont think its a solution
Answer:
(2, 3) is not a solution to the equation y = x
Step-by-step explanation:
Looking at the point (2, 3), we see that the x-coordinate is 2 and the y-coordinate is 3. x = y is false. (2, 3) is not a solution to the equation y = x.
What is an equation of the the line that passes through the point (-1,4) and is parallel to the line x+y=4
This is so important!! Ive tried everything
Answer:
y = -x + 3
Step-by-step explanation:
the equation is parallel to the line
y + x = 4
y = 4 - x
parallel means the same slope. So our new equation has a slope of -1
Now, the equation of a line is given by y = mx + b where m is the slope.
y = -x + b
now we plug in the points given in the question to find b.
4 = 1 + b
b = 3
so the final answer is y = -x +3
make sure to comment if you need any further guidance.
I need the answer to this please
Answer: the answer is D, if you just graph it in the Desmos graphing calculator you can solve it easily
A wall of a building is made from blocks that are each 1 cubic foot. The wall is 6 feet high and 6 feet wide. A window is made by removing some blocks as shown below. The window is 2 feet high by 2 feet wide. The wall is 6 feet high and 6 feet wide. The window is 2 feet high by 2 feet wide and is cut from the center of the wall. Suppose the wall is expanded to be 12 feet high by 12 feet wide, and the window is expanded to be 4 feet high by 4 feet wide. How will this change the volume of the wall? A. The volume will not change. B. The volume of the wall will double. C.
When the window is expanded to be 4 feet high by 4 feet wide, the volume of the wall quadruples or increases by factor of 4.
Volume of the wallThe volume of the wall is determined as follows;
V = h x w x t
where;
t is the thickness of the wallh is height of the wallw is width of the wallInitial volume of the wall when some blocks are removed to make a window is 2 feet high by 2 feet wide.
V1 = (6 - 2) x (6 - 2) x (t)
V1 = 16t ft³
Second volume of the wall when some blocks are removed to make a window is 4 feet high by 4 feet wide.
V2 = (12 - 4) x (12 - 4) x (t)
V2 = 64t ft³
V2 = 4(16t ft³)
V2 = 4(V1)
Thus, when the window is expanded to be 4 feet high by 4 feet wide, the volume of the wall quadruples or increases by factor of 4.
Learn more about volume of cuboid here: https://brainly.com/question/22694657
Find the measure of the arc or angle indicated.
See picture for full problem. Please and thank you so very much!!!
the answer is 118 degrees
Answer:
Angle D = 118°
Step-by-step explanation:
Check out the attached photo.
PLEASE HELP CHOOSING BRAINLIEST
Answer:
C
Step-by-step explanation:
The denominator is the same and the expression can be rewritten as 2n⁴ + 6 - 7 in the numerator, which simplifies to 2n⁴ - 1 over n⁴ + 3.
Algebraically:
[tex]\frac{2n^4+6}{n^4+3} -\frac{7}{n^4+3}[/tex]
[tex]\frac{2n^4+6-7}{n^4+3}[/tex]
[tex]\frac{2n^4-1}{n^4+3}[/tex]
I hope this helps!
What is the radius of circle C?
Answer:
5
Step-by-step explanation:
Check out the attached photo
The angle of elevation to a nearby tree from a point on the ground is measured to be 20∘
. How tall is the tree if the point on the ground is 92 feet from the tree? Round your answer to the nearest hundredth of a foot if necessary.
Answer:
33.49 feetStep-by-step explanation:
This is about the right triangle, where 92 feet side is adjacent leg to 20° angle, x - height.
Use trigonometry to find the height
x / 92 = tan 20°x = 92 tan 20°x = 33.49 feet (rounded)[tex]\\ \rm\rightarrowtail cot\theta=\dfrac{B}{P}[/tex]
[tex]\\ \rm\rightarrowtail cot20=\dfrac{92}{P}[/tex]
[tex]\\ \rm\rightarrowtail P=\dfrac{92}{cot20}[/tex]
[tex]\\ \rm\rightarrowtail P=\dfrac{92}{2.7475}[/tex]
[tex]\\ \rm\rightarrowtail P=33.49ft[/tex]
please help me i don't know the problem
Answer:
see below
Step-by-step explanation:
y = 2x+2
The line is in slope intercept form
y = mx+2 where m is the slope and b is the y intercept
The line intercepts the y axis is b or 2 ( 0,2)
The slope is m = 2
It means we go up 2 and over 1 (2/1)
Starting at (0,2) , up 2 and to the right 1 is ( 1,4)
The next point would be (2,6)
2; 4; 6; 8; ...
1. describe the relationship between the position of the term and the value of the term in the sequence in words
2. write down a general term for the sequence in terms of n: Term n = ........
3. use the general term to find the 10th and the 20th term in each sequence
HURRY SO EASY COMPUTER IS ABOUT TO DIE AGAIN
The pencils at a store cost $0.65 each. Each pencil weighs 1.85 ounces. All the pencils at the store have a combined weight of 44.4 ounces. How much would it cost to buy all the pencils at the store?
Answer:
$15.60
Step-by-step explanation:
Hey there!
In order to solve this word problem, we need to find out how much pencils there are first
To do that, we need to take the total amount of pencil weight, which is 44.4 ounces, and divide that by the weight of one pencil, which is 1.85
44.4 divided by 1.85 is 24
So now we know that there are 24 pencils total in that store
What they are asking is how much does it cost to buy all the pencils in the store
It is already given that one pencil costs $0.65 and we found out that there are 24 pencils in total
So what we need to do is multiply 24 and 0.65 to find out the total cost of all the pencils in the store
24 times 0.65 is 15.60
So the cost to buy all the pencils at the store is $15.60
Can someone help me with this?
Answer:
f (g(x)) = 1/x - 2
Step-by-step explanation:
Given :
f(x) = 1/xg(x) = x - 2To Find :
f (g(x))Solving :
f(x - 2) = 1/x - 2f (g(x)) = 1/x - 2Graph
What is the cube of 6?
A. 216
B. 42
C. 36
D. 18
Answer:
A
Step-by-step explanation:
Cubes are numbers that are multiplied by itself three times so 6 times 6 times 6 is 216
If f(x)=2x-3 then find the expression given by f(a+h)-f(a)/h
[tex]\text{Given that,}~ f(x) =2x-3\\\\\dfrac{f(a+h) - f(a)}{h}\\\\=\dfrac{(2(a+h)-3)-(2a-3)}{h}\\\\=\dfrac{2a+2h-3-2a+3}h}\\\\=\dfrac{2h}{h}\\\\=2[/tex]
Felipe is ordering new carpet for his bedroom floor. (The floor is represented in the picture below as rectangle JKLM). He knows the base edge, ML, measures 18 ft. And the distance of diagonal KM measures 25 ft. What is the area of Felipe’s bedroom floor? Show all work and round your answer to the nearest tenth.
will mark brainlist
Answer: 312.3 square feet
Step-by-step explanation:
The area of Felipe’s bedroom floor is 312.3 square ft.
What is Pythagoras theorem:If we have a right-angled triangle then we can write the following equation,
(Hypotenuse)² = (Base)² + (Height)²
Properties of a rectangle:In the given figure attached below the properties are as follows:
ML = JKKL = JMarea = (Base × Width) = KL × MLIn the given question and in the figure attached below the given values are:
ML = 18 ft.KM = 25 ft.By applying Pythagoras theorem in ΔKML we get,
(KM)² = (KL)² + (ML)²
Putting all the values in the above equation,
(25)² = (KL)² + (18)²
By rearranging,
(KL)² = (25)² - (18)²
Applying the formula, a² - b² = (a + b)(a - b) we get,
(KL)² = (25 + 18)(25 - 18)
(KL)² = 43 × 7
KL = √301 ft.
Now the area is,
area = KL × ML
= (√301 × 18) square ft.
= 312.3 square ft.
Therefore, the area of Felipe’s bedroom floor is 312.3 square ft.
To know more about the area and how to calculate the area of a rectangle click here - brainly.com/question/25292087
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pls help asap tysm: suppose 4
can you maybe write down the questions on my comment in here?
The measures of angles A and B are supplementary. What is the measure of each angle?
Answer:
any angle that can give the 180 degree is the answer but these angle is found face to face each other
There are no competing lemonade stands. One day, each lemonade stand recorded the number of glasses of lemonade they sold
each hour. The number of glasses of lemonade sold are shown in the box plot below.
Stand 1
Stand 2
14
15
16 17 18
19 20 21 22 23 24
Glasses of Lemonade Sold
Based on these samples, what generalization can be made?
A. The range of the hourly number of glasses at lemonade sold at stand 1 is less than the range of the hourly number of
glasses of lemonade sold at stand 2.
OB. The interquartile range of the hourly number of glasses of lemonade sold at stand 1 is greater than the interquartile range
of the hourly number of glasses of lemonade sold at stand 2.
OC. The third quartile of the hourly number of glasses of lemonade sold at stand 1 is less than the third quartile of the hourly
number of glasses of lemonade sold at stand 2.
OD. The median of the hourly number of glasses of lemonade sold at stand 1 is less than the median of the hourly number of
glasses of lemonade sold at stand 2.
Answer:
A
Step-by-step explanation:
I got it correct on study island.
What is the longest line segment that can be drawn in a right rectangular prism that is 15 cm long, 11 cm wide, and 10 cm tall?
Answer:
√446 ≈ 21.12 cm
Step-by-step explanation:
The longest dimension of a rectangular prism is the length of the space diagonal from one corner to the opposite corner through the center of the prism. The Pythagorean theorm tells you the square of its length is the sum of the squares of the dimensions of the prism:
d² = (15 cm)² +(11 cm)² +(10 cm)² = (225 +121 +100) cm² = 446 cm²
d = √446 cm ≈ 21.12 cm
The longest line segment that can be drawn in a right rectangular prism is about 21.12 cm.
_____
Additional comment
The square of the face diagonal is the sum of the squares of the dimensions of that face. The square of the space diagonal will be the sum of that square and the square of the remaining prism dimenaion, hence the sum of squares of all three prism dimensions.
Find the volume of this square-based pyramid. 12, 10, 10
Answer:
400
Step-by-step explanation:
so its actually really easy, take 10x10 and then multiply that by 12 and then divide by the exponent so in this case 10x10x12 then divide by 3
Answer: 400
Step-by-step explanation: 10*10*12/3
A grain silo has a cylindrical shape. Its radius is 8ft, and its height is 36ft. What is the volume of the silo?
Use the value 3.14 for[tex]\pi[/tex], and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
The volume of a silo cylinder with radius of 8 feet and height of 36 feet is 7235 feet cube.
Volume of a cylinderThe volume of a cylinder can be calculated as follows;
Volume = πr²h
where
r = radiush = heightTherefore,
r = 8 ft
h = 36 ft
volume = 3.14 × 8² × 36
volume = 3.14 × 64 × 36
volume of the silo = 7234.56
Therefore, the volume of the cylindrical silo is 7235 ft³
learn more on volume here: https://brainly.com/question/27270919