Answer: x=30
Step-by-step explanation: if you were looking for the value of x, hope this helps!
first, you have to make sure that the correct values are on the right side to allow us to find the answer faster and easier. your modified formula should look like this: 4x-3.2x=11+13
if you do the operations on each side, it will look like this: 0.8x=24, from here, all you have to do now is divide 24 by 0.8 to get the X value, which will result in 30!
What is the simplified form of y^2+7y+12/y^2-2y-15? Choices:
Answer:
[tex] \frac{y + 4}{y - 5} [/tex]Option C is the correct option
Step-by-step explanation:
[tex] \frac{ {y}^{2} + 7y + 12}{ {y}^{2} - 2y - 15 } [/tex]
Write 7y as a sum
[tex] \frac{ {y}^{2} + 4y + 3y + 12}{ {y}^{2} - 2y - 15} [/tex]
Write -2y as a difference
[tex] \frac{ {y}^{2} + 4y + 3y + 12}{ {y}^{2} + 3y - 5y - 15} [/tex]
Factor out y from the expression
[tex] \frac{y(y + 4) + 3y + 12}{ {y}^{2} + 3y - 5y - 15 } [/tex]
Factor out 3 from the expression
[tex] \frac{y(y + 4) + 3(y + 4)}{ {y}^{2} + 3y - 5y - 15 } [/tex]
factor out y from the expression
[tex] \frac{y(y + 4) + 3(y + 4)}{y(y + 3) - 5y - 15} [/tex]
Factor out -5 from the expression
[tex] \frac{y(y + 4) + 3(y + 4)}{y(y + 3) - 5( y + 3)} [/tex]
factor out y + 4 from the expression
[tex] \frac{(y + 4)(y + 3)}{y(y + 3) - 5(y + 3)} [/tex]
Factor out y + 3 from the expression
[tex] \frac{(y + 4)(y + 3)}{(y + 3)(y - 5)} [/tex]
Reduce the fraction with y + 3
[tex] \frac{y + 4}{y - 5} [/tex]Hope this helps..
Best regards!!
Which of the following is the complete factorization of the polynomial below? x^3-5x^2+2x+8
Answer:
(x+1)(x-4)(x-2)
Step-by-step explanation:
Find the value of each trigonometric ratio.
SOH CAH TOA
Sin = opp/hyp
Cos = adj/hyp
Tan = opp/adj
7) 21/35 or 3/5
8) 21/20
9) 30/50 or 3/5
10) 40/50 or 4/5
Answer:
[tex]{\mathrm{view \: explanation}}[/tex]
Step-by-step explanation:
[tex]sin \theta = \frac{opposite}{hypotenuse}[/tex]
[tex]cos \theta = \frac{adjacent}{hypotenuse}[/tex]
[tex]tan \theta = \frac{opposite }{adjacent }[/tex]
[tex]sinX=\frac{21}{35}[/tex]
[tex]tanX=\frac{21}{20}[/tex]
[tex]sinC=\frac{30}{50}[/tex]
[tex]cosC=\frac{40}{50}[/tex]
These box plots show the prices for two different brands of shoes.
Answer: I’m pretty sure is letter A
Jessica calculated the missing side length of one of these triangles using the Pythagorean Theorem. Which triangle was it?
E
F
G
H
Answer:
G
Step-by-step explanation:
We can find a missing length of a triangle using a Pythagorean theorem if and only the triangle is a right angled triangle.
The side of the missing length is:
a^+b^=c^
2^+4^=c^
4+16=c^
20=c^
[tex] \sqrt{20} = c ^{2} \\ 4 \sqrt{5} = c[/tex]
For each of the following statements about sets A, B, and C, either prove the statement is true or give a counterexample to show that it is false.
a. If A⊆BA⊆B and B⊆CB⊆C, then A⊆CA⊆C.
b. If A∈BA∈B and B⊆CB⊆C, then A⊆CA⊆C.
c. If A∈BA∈B and B⊆CB⊆C, then A∈CA∈C.
d. If A∈BA∈B and B∈CB∈C, then A∈CA∈C.
Answer:
a. True
b. False
c. True
d. False
Step-by-step explanation:
a. Meaning
as we can see that x is an element of Y
So notation is
[tex]x \in Y[/tex]
Therefore x is the subset of Y if each of an element of X is also an element of Y.
So notation is
[tex]X \subseteq Y[/tex]
2. (a) We need to proof
When [tex]A \subseteq B and B \subseteq C \so A \subseteq C[/tex]
We will say that A, B and C are the set that is [tex]A\subseteq B\ and\ B\subseteq C[/tex]
When A = ∅ then [tex]A\subseteq C[/tex] which shows true, as the set of empty is a subset of each set.
Hence, it is safe to say that A is not the empty set.
Now we will proof directly
Let us say x be an element of A
[tex]x \in A[/tex]
As [tex]A \subseteq B,[/tex] each of the element of A is also an element of B
[tex]x \in B[/tex]
As [tex]B \subseteq C[/tex], each if the element of B is also an element of C
[tex]x \in C[/tex]
Therefore, as we can see that each of an element of A is also known an element of C, that states [tex]A \subseteq C[/tex]
So, the given statement is true, as we conclude with a proof.
(b). We will assume {1}, B = {{1},2} and C = {{1},2,3}
As in the point a, which is an element of B, that is [tex]A \in B[/tex] which is true
As all of the elements in B are also an element in C, [tex]B \subseteq C[/tex] which is also correct.
Although, [tex]A \subseteq C[/tex] is false as 1 is an element of A that is not in C.
(c) We need to proof
When [tex]A \in B\ and \ B \subseteq C[/tex] then [tex]A \in C[/tex]
Let us assume that A, B and C are the sets that [tex]A\in B\ and\ B \subseteq C[/tex]
As, [tex]A \in B, \which\ is\ an\ element\ of\ the\ set\ B[/tex]
[tex]A\in B[/tex]
As, [tex]B \subseteq C[/tex], each of the element of B is also an element of C
[tex]A\in C[/tex]
So, its true.
(d) We will assume {1}, B = {{1},2} and C = {{1},2,3}
As in the point a, which is an element of B, that is [tex]A \in B[/tex] which is true
As {{1},2} is an element of B, [tex]B \in C[/tex] is correct
Although [tex]A \in C[/tex] is not correct as {1) is not an element in C.
SO the statement is false
Question 14. A carousel makes one complete revolution every 75 seconds. Levi sits on the carousel 4 feet from its center. If the length of a carousel ride is 5 minutes, how many feet did Levi travel? E. 4 F. 16 G. 8π H. 32π
Answer:
The correct option is;
H. 32·π
Step-by-step explanation:
The given information are;
The time duration for one complete revolution = 75 seconds
The distance from the center of the carousel where Levi sits = 4 feet
The time length of a carousel ride = 5 minutes
Therefore, the number of complete revolutions, n, in a carousel ride of 5 minutes is given by n = (The time length of a carousel ride)/(The time duration for one complete revolution)
n = (5 minutes)/(75 seconds) = (5×60 seconds/minute)/(75 seconds)
n = (300 s)/(75 s) = 4
The number of complete revolutions - 4
The distance of 4 complete turns from where Levi seats = 4 ×circumference of circle of Levi's motion
∴ The distance of 4 complete turns from where Levi seats = 4 × 2 × π × 4 = 32·π.
Please answer this in two minutes
Answer:
469.4ft²
Step-by-step explanation:
We have ∆ WXY in the above question,
From which we have obtained the following values
Angle W = 27°
Angle X = ?
Angle Y = 40°
Side w =?
Side x = ?
Side y = 38ft
Area of the triangle= ?
Step 1
We find Angle X
We know that the Sum of angles in a triangle = 180°
In the question above, we are given 2 angles
Hence,
Angle X = 180 - ( Angle W + Angle Y)
= 180° - (27 + 40)°
= 180° - 67°
Angle X = 113°
Step 2
Find the sides w and x
We find these sides using the Rule of sines
Rule of Sines =
a/ sin A = b/ Sin B = c/Sin C
Hence for triangle WXY
w/ sin W = x/ sin X = y/ sin Y
We have the following values
Angle W = 27°
Angle X = 113°
Angle Y = 40°
We are given side y = 38ft
Determining side w
w/ sin W= y/ sin Y
w/sin 27 = 38/sin 40
Cross Multiply
sin 27 × 38 = w × sin 40
w = sin 27 × 38/sin 40
w = 26.83879ft
w = 26.84ft
Determining side x
w/ sin W = x/ sin X
26.84/ sin 27 = x/sin 113
Cross Multiply
sin 113 × 26.84 = x × sin 27
x = sin 113 × 26.84/sin 27
x = 54.42041ft
x = 54.42ft
To find the area of triangle WXY
We apply the use of heron formula
= √s(s - w) (s - x) (s - y)
Where S = w + x + y/ 2
s = (38 + 26.84 + 54.42)/2
s = 59.63
Area of the triangle = √59.63× (59.63 - 38) × (59.63 - 26.84 ) × (59.63 - 54.42)
Area of the triangle = √ 220343.61423
Area of the triangle = 469.40772706541ft²
Hence, Approximately to the nearest tenth =469.4yd²
It takes 464646 minutes for 101010 people to paint 333 walls. How many minutes does it take 444 people to paint 666 wallsIt takes 464646 minutes for 101010 people to paint 333 walls. How many minutes does it take 444 people to paint 666 walls?
Answer:Answer: It takes 4 person 230 mins to paint 6 walls
Step-by-step explanation:
10 people : 46 mins : 3 walls
--------------------------------------------------------------------------------------
Find the number of people needed to paint 6 walls
--------------------------------------------------------------------------------------
(10 x 2) people : 46 mins : (3 x 2) walls
20 people : 46 mins : 6 walls
⇒ It takes 20 people 46 mins to paint 6 walls.
--------------------------------------------------------------------------------------
Find amount of time to paint all 6 wall by 1 person
--------------------------------------------------------------------------------------
(20 ÷ 20) people : (46 x 20) mins : 6 walls
1 person : 920 mins : 6 walls
⇒It takes 1 person 920 mins to paint 6 walls
--------------------------------------------------------------------------------------
Find the amount of time to paint 6 walls by 4 people
--------------------------------------------------------------------------------------
(1x 4) person : (920 ÷ 4) mins : 6 walls
4 person : 230 mins : 6 walls
⇒ It takes 4 person 230 mins to paint 6 walls
--------------------------------------------------------------------------------------
Answer: It takes 4 person 230 mins to paint 6 walls
--------------------------------------------------------------------------------------
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
Find the volume of the figure.
Answer:
144cm^3
Step-by-step explanation:
A=1/2bh = 1/2 (6)(8)
=24
v=A×H=(24)(6)
=144cm^3
Answer: 144 cm³
Step-by-step explanation:
The volume of a triangular prism can be found by multiplying the area of the base by the prism height. Thus, first calculate the area of the triangle(1/2*bh): 24. Then multiply 24*prism height(6) to get 144.
Consider the formula F = \dfrac{N\cdot M}{P}F= P N⋅M F, equals, start fraction, N, dot, M, divided by, P, end fraction, where FFF represents the fertility of soil, NNN represents the amount of nutrients in the soil, MMM represents the amount of moisture in the soil, and PPP represents the amount of pollutants in the soil. Select an appropriate measurement unit for fertility of soil.
Answer:
C. Fertility= Nutrients * Moisture / Pollutant
Step-by-step explanation:
F=NM/P
F= Fertility of the soil
N= Amount of nutrients in the soil
M= Amount of moisture in the soil
P= Amount of pollutant in the soil
F=NM/P
Fertility of the soil
= Amount of nutrients in the soil * Amount of moisture in the soil / Amount of pollutant in the soil
Fertility= Nutrients * Moisture / Pollutant
Option C is the correct answer
PLEASE HELP ASAP IM REALLY TRING TO FINISH A stick has a length of $5$ units. The stick is then broken at two points, chosen at random. What is the probability that all three resulting pieces are longer than $1$ unit?
Answer:
0.16
Step-by-step explanation:
Length = 5 unitsNumber of broken sticks= 3Equal lengths = 5 units/3See the picture attached for reference.
As you see the best points are the green areas which covers 2 out of 5 zones.
Since it is same for both broken points, the probability of this is:
2/5*2/5 = 4/ 25 = 0.16Answer is 0.16
__♥__♥_____♥__♥___ Put This
_♥_____♥_♥_____♥__ Heart
_♥______♥______♥__ On Your
__♥_____/______♥__ Page If
___♥____\_____♥___ You Had
____♥___/___♥_____ Your Heart
______♥_\_♥_______ Broken
________♥_________…………….
Solve the equation. 2x + 4 = 3x – 2
Answer:
X=6
Step-by-step explanation:
2x+4=3x-2
-4 -4
2x=3x-6
-3x -3x
-1x=-6
--- ---
-1 -1
X=6
Answer:
6
Step-by-step explanation:
2x+4=3x-2
2x-3x=-2-4
-x=-6
(divide both sides by -1)
X=6
Dustin has five hats, five shirts, five pairs of pants, and five pairs of shoes; he has one of each in blue, green, gray, silver, and gold (his five favorite colors). Dustin is picky about what he wears: he insists on his shoes being the same color as at least two other articles of clothing in the outfit. However, he refuses to wear all silver or all gold (because that's tacky). How many possible outfits can Dustin wear?
Answer:
The number of possible outfits Dustin can wear is 73 outfits
Step-by-step explanation:
The information given are;
The number of hats Dustin has = 5
The number of shirts Dustin has = 5
The number of pants Dustin has = 5
The number of shoes Dustin has = 5
The colors of Dustin's clothing are blue, green, gray, silver, and gold
Given that the shoes go with at least two other clothing of the same color, we have;
The number of ways the color of the shoes can be selected = 5 ways
The number of ways of selecting the same color for 2 of the remaining 3 clothing = 3 ways
The number of ways of selecting the color of the fourth clothing = 5 ways
The total number of ways = 5 × 3 × 5 = 75 ways
The number of ways in which all silver can be selected = 1 way
The number of ways in which all gold can be selected = 1 way
Since Dustin refuses to wear all silver and all gold, the total number of ways the outfits can be selected = 75 - 1 - 1 = 73 ways = 73 is the number of possible outfits
Therefore, the number of possible outfits Dustin can wear = 73 outfits.
HELLLPPPP ,The value for the missing side is: 25. 4 5. None of these choices are correct.
Answer: The missing side is 5 units.
Step-by-step explanation:
Pythagorean Theorem states that a^2+b^2=c^2. Let the hypotenuse be x.
[tex]4^2+3^2=x^2\\16+9=x^2\\25=x^2\\\sqrt{25}=\sqrt{x^2}\\\left[\begin{array}{c}x=5\end{array}\right][/tex]
Hope it helps <3
(a) use the pythagorean theorem to determine the length of the unknown side of the triangle, (b) determine the perimeter of the triangle, and (c) determine the area of the triangle. the figure is not drawn to scale.
the length of the unknown side is ____
the perimeter of the triangle is ____
the area of the triangle is ___
Answer/Step-by-step explanation:
a. Unknown side, b, using the Pythagorean theorem is solved as shown below.
[tex] b^2 = c^2 - a^2 [/tex]
[tex] b^2 = 45^2 - 27^2 [/tex]
[tex] b^2 = 1,296 [/tex]
[tex]b = \sqrt{1,296}[/tex]
[tex] b = 36 [/tex]
Unknown side, b, = 36 km
b. Perimeter of the triangle = sum of all the sides of the ∆ = [tex] 36 + 45 + 27 [/tex]
[tex] perimeter = 108 km [/tex]
c. Area of triangle = ½*base*height
where,
Base = 36 km
Height = 27 km
[tex] Area = \frac{1}{2}*36*27 [/tex]
[tex] Area = 18*27 [/tex]
[tex] Area = 486 km^2 [/tex]
If 35%discount is given on a trouser which costs #3,000.00k,how much will a buyer pay for the trouser?
Answer:
1950
Step-by-step explanation:
3000×35/100
=1050
so 3000-1050
=1950
What is the slope of line m?
Answer:
2.
Step-by-step explanation:
The slope is calculated by doing rise over run.
The rise is: 6 - 0 = 6.
The run is: 0 - (-3) = 0 + 3 = 3.
6 / 3 = 2 / 1 = 2.
Hope this helps!
Problem Water boils at 212^\circ212 ∘ 212, degrees Fahrenheit. Write an inequality that is true only for temperatures (t)(t)left parenthesis, t, right parenthesis that are higher than the boiling point of water.
Answer:
t > 212
Step-by-step explanation:
Given
Boiling point = 212°F
Required
Inequality that shows temperature greater than the boiling point
From the question, temperature is represented with t.
The inequality "greater than" is represented with >
So, temperature greater than the boiling point implies that t > 212
Answer: t > 212
Step-by-step explanation:
The question says "Write an inequality that is true only for temperatures that are higher than the boiling point of water."
This means t has to be higher than 212 since it says only for temperatures that are higher than the boiling point.
But since we have to write an inequality the answer would be: t > 212.
I know I did this very late and you probably don't need it but i was bored
List the first 5 terms of the sequence -3n -2.
Answer:
-5,-8,-11,-14,-17
Step-by-step explanation:
-3n -2
n=1 -3(1) -2 = -3-2 = -5
n=2 -3(2) -2 = -6-2 = -8
n=3 -3(3) -2 = -9-2 = -11
n=4 -3(4) -2 = -12-2 = -14
n=5 -3(5) -2 = -15-2 = -17
We can substitute n with each term in order.
First Term:
-3(1) - 2
-3 - 2
-5
Second Term:
-3(2) - 2
-6 - 2
-8
Third Term:
-3(3) - 2
-9 - 2
-11
Fourth Term:
-3(4) - 2
-12 - 2
-14
Fifth Term:
-3(5) - 2
-15 - 2
-17
Therefore, the sequence is -5, -8, -11, - 14, -17
Best of Luck!
Sara needs to pack 108 stalks of roses, 81 stalks of lilies, and 54 stalks of orchids into identical baskets so that each type of flower is equally distributed among the baskets. Find the largest number of the basket that can be packed
Answer:
54
Step-by-step explanation:
There are 108 roses, 81 lilies and 54 orchids.
The problem is asking that every basket contain the same number for that type of flower.
So if I put one of each flower in each basket, I will get 54 baskets at the most.
Sounds correct to you?
Can you tell me the answer to (−7c+8d)0.6
Answer:
-4.2c+4.8d
Step-by-step explanation:
(−7c+8d)0.6
Distribute
-7c*.6 + 8d * .6
-4.2c+4.8d
Answer:
-4.2c + 4.8d
Step-by-step explanation:
We would like to distribute the 0.6 in the expression (-7c + 8d) * 0.6.
Remember that when distributing, we multiply the "outside number" (0.6 in this case) by each of the "inside numbers" (-7c and 8d) and then add those products.
So, the first product will be: 0.6 * (-7c) = -4.2c. The second product will be: 0.6 * 8d = 4.8d. Add these together: -4.2c + 4.8d.
The answer is thus -4.2c + 4.8d.
~ an aesthetics lover
The population of a city increase exponentially at a rate of x% every 5 years
In 1960 the population was 60100
In 2015 the population was 120150
Calculate the value of x
Answer:
1.1460277. Put in your decimal place given to you.
This is the percentage rate.
Step-by-step explanation:
f(x)=0=60100
55=120150
60100=a*b^0
120150/60100=60100/60100*b^5
b^5^(1/5)=5square root(120150/60100)=1.14860277
I WILL GIVE BRAINLIEST AND THANKS SOLVE THE QUADRATIC EQUATION
Answer:
x = -0.907, 2.57
Step-by-step explanation:
Quadratic Formula: [tex]x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}[/tex]
Since we are given a = 3, b = -5, and c = -7 from our quadratic, we simply use the Quadratic Formula:
Step 1: Plug in variables
[tex]x=\frac{-(-5)+/-\sqrt{(-5)^2-4(3)(-7)} }{2(3)}[/tex]
Step 2: Solve
[tex]x=\frac{5+/-\sqrt{25+ 84} }{6}[/tex]
[tex]x=\frac{5+/-\sqrt{109} }{6}[/tex]
Step 3: Evaluate for decimals
You should get x = -0.906718 and 2.57338 as your answers.
Answer:
x = 2.57338441, − 0.90671775
Step-by-step explanation:
x = 5 ±√109/2 x 3
Times 2 by 3
x = 5 ± √109/6
x = 5 ± √109/6
x = 5 + √109/6
x = 5 ± √109/6
x = 5 - √109/6
x = 5 + √109/6, 5 - √109/6
x = 2.57338441, − 0.90671775
What is the solution to x + 7 = 23?
3 of 12 QUESTIONS
X= 14
X=7
X = 30
X = 16
SUBMIT
Answer:
x=16
Step-by-step explanation:
x+7=23
23-7=x
x=16
Determine whether these two functions are inverses. Show your work please. f(x)= 1/x+4-9; g(x)=1/3x+9
Answer: No they are not inverses.
Step-by-step explanation:
If they are inverses, then the inverse of f(x) will equal g(x).
[tex]y=\dfrac{1}{x+4}-9\\\\\\\text{Swap the x's and y's:}\\x=\dfrac{1}{y+4}-9\\\\\\\text{Solve for y:}\\x+9=\dfrac{1}{y+4}\\\\y+4=\dfrac{1}{x+9}\\\\y=\dfrac{1}{x+9}-4[/tex]
f⁻¹(x) ≠ g(x) so they are not inverses
The length of the room is 2½ times the breadth. The perimeter of the room is 70 m. What are the length and breadth of the room?
Answer:
length=25m
breadth=10m
Step-by-step explanation:
2.5units+2.5units+1unit+1unit=7units
70/7=10
length=10x2.5=25
breadth=10
(sorryy im not really sure but i hope it helps :D)
Answer:
Length = 25 cm
Breadth = 10 cm
Step-by-step explanation:
Let breadth of the room be 'x'
Let length of the room be ''
Perimeter ( P ) = 70 cm
Now, let's find the breadth of the room 'x '
Perimeter of rectangle = 2(l+b)
plug the values
70=2(2.5x+x)
Collect the like terms
70=2x3.5x
Calculate the product
70=7x
Swap the sides of the equation
7x=70
Divide both sides of the equation by 7
7x / 7= 70/7
Calculate
x=10cm
Breadth = 10 cm
Now, Let's find the length of the room ' 2.5x '
Length of the room = 2.5x
Plug the value of X
2.5x10
Calculate the product
25cm
Thus , The length and breadth of the room is 25 cm and 10 cm respectively.
Hope this helps..
Best regards!!
The roof of a cabin is to be shingles at a cost of $70 of a square ( a square, shingling, is a region with an area of 100 sq. ft.) Find the cost of the shingling the roof shown, assuming the roof is symmetrical
Answer:
Just multiply 2 by (36*15) which equals 1080
Than divide 1080 by 100
1080/100
Which would give us 10.8 10.8 * 70 = $756.00
So, the answer is $756.00
Step-by-step explanation:
Divide both sides of the equation by the coefficient of t to get t by itself how tall is Theresa in inches
p=paul's height
s=steve's height
t=theresa's height
p=s
1 and 1/2=3/2
1 and 1/3=4/3
p=-16+(3/2)t
s=-6+(4/3)t
p=s so
-16+(3/2)t=-6+(4/3)t
add 6 to both sides
-10+(3/2)t=(4/3)t
times both sides by 6 to clear fractions
-60+9t=8t
minus 9t both sides
-60=-t
times -1
60=t
t=60
theresa is 60 inches or 5ft
steve and paul are 84 inches or 7ft (wow!)
The price of a technology stock was $9.77 yesterday. Today, the price fell to $9.70 . Find the percentage decrease. Round your answer to the nearest tenth of a percent.