Answer:
10 - 4y
Step-by-step explanation:
Combine like terms. 12, 21 and -23 add up to 10, and -5y + y is -4y.
Then, together, we have 10 - 4y (answer)
Answer:
[tex]\large\boxed{10 - 4y}[/tex]
Step-by-step explanation:
12 - 5y + 21 + y - 23
Combine like terms (add -5y to + y)
12 + 21 - 4y - 23
Add 12 + 21
33 - 4y - 23
Subtract 23 from 33
[tex]\large\boxed{10 - 4y}[/tex]
This is the simplest form of the expression.
Hope this helps :)
The cost of a cycle is $ 950 and that of a scooter is $ 23,500. He sold them together for $ 25,000. Find his profit.
actual cost is 950+23,500=24450
he sold them for 25000 so his profit is 25000-950-23500=550
Answer:
A cycle + A scooter
= 950 + 23,500
= 24,450
Profit = Sold - cost
= 25,000 - 24,450
= 550
So the profit is $550
Angle A is circumscribed about circle O. What is the measure of angle O? 46
Answer:
m<O = 134°
Step-by-step explanation:
OC = OB = radius of the circle
AC = AB = tangents of circle O
m<C = m<B = 90°. (Tangent and a radius always form 90°)
m<A = 46°
Therefore,
m<O = 360° - (m<C + m<B + m<A) => sum of angles in a quadrilateral.
m<O = 360° - (90° + 90° + 46°)
m<O = 360° - 226°
m<O = 134°.
Measure of angle A = 134°
plz help me with this problem
p^2 - 36
Answer:
[tex]\large \boxed{ (p+6)(p-6) }[/tex]
Step-by-step explanation:
[tex]p^2 - 36[/tex]
Rewrite 36 as 6 squared.
[tex]p^2 - 6^2[/tex]
Apply difference of two squares formula:
[tex]a^2-b^2 =(a+b)(a-b)[/tex]
[tex]a=p\\b=6[/tex]
[tex]p^2 - 6^2=(p+6)(p-6)[/tex]
Answer:
since is its a possibility of 7 or 11 we add the individual probabilities
so the answer is 1/6+ 1/18=3/18+1/18=4/18=2/9
2/9.
I hope now you'll understand
Simplified. 2c+2d+5d
Answer:
2c +7d
Step-by-step explanation:
2c+2d+5d
Combine like terms
2c + d(2+5)
2c +7d
Answer:
The simplified answer of this expression is 2c + 7d
Step-by-step explanation:
For this problem, you will have to combine like terms.
2c + 2d + 5d
Combine 2d and 5d.
2c + 7d
Shalom, Guys! The Question is in the image down below! Love, Piper Rockelle
Answer:
see below
Step-by-step explanation:
(x³ + 9) / (x³ + 8)
= (x³ + 8) / (x³ + 8) + 1 / (x³ + 8)
= 1 + 1 / (x³ + 8)
Answer:
Your not piper
Step-by-step explanation:
The three-dimensional figure shown consists of a cylinder and a right circular cone. The radius of the base is 10 centimeters. The height of the cylinder is 16 centimeters, and the total height of the figure is 28 centimeters. The slant height of the cone is 13 centimeters. Which choice is the best approximation of the surface area of the figure? Use 3.14 to approximate pi.
Answer:
2,041 square centimeters
Step-by-step explanation:
surface area = (2 × π × r × h) + ((π × r) × (r+ (√(c² + r²))))+(π × r²)
where,
cylinder base radius (r) = 10 cm
height of cylinder (h) = 16 cm
total height = 28 cm
cone height (c) = total height - height of cylinder = 28 - 16 = 12cm
π = 3.14
surface area = (2 × 3.14 × 10 × 16) + ((3.14 × 10) × (10+ (√(12² + 10²))))+(3.14 × 10²)
surface area = 1004.8 + (31.4 * 25.6) + 314
surface area = 2122.64 cm²
therefore the approximate surface area given is 2,041 square centimeters
PLEASE ANSWER THIS! I WILL GIVE AMAZING RATING IF FAST
Answer:
[tex]\boxed{\sf a) \ 120 \ km^2}[/tex]
Step-by-step explanation:
The surface area is the total area of the faces added together.
Area of 2 triangles + Area of 3 rectangles
The two cross-sections are the triangles.
Area of triangle = base × height × 1/2
Area of a rectangle = length × width.
4 × 3 × 1/2 + 4 × 3 × 1/2 + 9 × 3 + 9 × 4 + 9 × 5
6 + 6 + 27 + 36 + 45
= 120
A cyclist travels at $20$ kilometers per hour when cycling uphill, $24$ kilometers per hour when cycling on flat ground, and $30$ kilometers per hour when cycling downhill. On a sunny day, they cycle the hilly road from Aopslandia to Beast Island before turning around and cycling back to Aopslandia. What was their average speed during the entire round trip?
Answer:
Average speed during the trip = 24 km/h
Step-by-step explanation:
Given:
Speed of cyclist uphill, [tex]v_1[/tex] = 20 km/hr
Speed of cyclist on flat ground = 24 km/h
Speed of cyclist downhill, [tex]v_2[/tex] = 30 km/h
Cyclist has traveled on the hilly road to Beast Island from Aopslandia and then back to Aopslandia.
That means, one side the cyclist went uphill will the speed of 20 km/h and then came downhill with the speed of 30 km/h
To find:
Average speed during the entire trip = ?
Solution:
Let the distance between Beast Island and Aopslandia = D km
Let the time taken to reach Beast Island from Aopslandia = [tex]T_1\ hours[/tex]
Formula for speed is given as:
[tex]Speed = \dfrac{Distance}{Time}[/tex]
[tex]v_1 = 20 = \dfrac{D}{T_1}[/tex]
[tex]\Rightarrow T_1 = \dfrac{D}{20} ..... (1)[/tex]
Let the time taken to reach Aopslandia back from Beast Island = [tex]T_2\ hours[/tex]
Formula for speed is given as:
[tex]Speed = \dfrac{Distance}{Time}[/tex]
[tex]v_2 = 30 = \dfrac{D}{T_2}[/tex]
[tex]\Rightarrow T_2 = \dfrac{D}{30} ..... (2)[/tex]
Formula for average speed is given as:
[tex]\text{Average Speed} = \dfrac{\text{Total Distance}}{\text{Total Time Taken}}[/tex]
Here total distance = D + D = 2D km
Total Time is [tex]T_1+T_2[/tex] hours.
Putting the values in the formula and using equations (1) and (2):
[tex]\text{Average Speed} = \dfrac{2D}{T_1+T_2}}\\\Rightarrow \text{Average Speed} = \dfrac{2D}{\dfrac{D}{20}+\dfrac{D}{30}}}\\\Rightarrow \text{Average Speed} = \dfrac{2D}{\dfrac{30D+20D}{20\times 30}}\\\Rightarrow \text{Average Speed} = \dfrac{2D\times 20 \times 30}{{30D+20D}}\\\Rightarrow \text{Average Speed} = \dfrac{1200}{{50}}\\\Rightarrow \bold{\text{Average Speed} = 24\ km/hr}[/tex]
So, Average speed during the trip = 24 km/h
What is the image of (-1,-4) after a reflection over the line y=-x
Answer:
[tex]\huge\boxed{(4,1)}[/tex]
Step-by-step explanation:
The point is (-1,-4)
It is reflected over y = - x, So, the coordinate will be like: ( -y , -x )
So, when it is reflected over y = -x , it becomes (4,1)
When a point is reflected, it must be reflected over a line.
The image of (-1,-4) after a reflection over the line y=-x is (4,1).
The point is given as:
[tex]\mathbf{(x,y) = (-1,-4)}[/tex]
The rule of reflection over line y = -x is:
[tex]\mathbf{(x,y) \to (-y,-x)}[/tex]
So, we have:
[tex]\mathbf{(x,y) \to (-(-4),-(-1))}[/tex]
[tex]\mathbf{(x,y) \to (4,1)}[/tex]
Hence, the image of (-1,-4) is (4,1).
Read more about reflections at:
https://brainly.com/question/938117
Varadha bought two bags of rice of weights 45 kg and 63 kg. Find the maximum weight required, to measure the weight of rice exact number of times. options : 1.6 kg 2.35 kg 3.3 kg 4.9 kg
Answer:
3 kg
Step-by-step explanation:
given data
weights bag1 = 45 kg
weights bag2 = 63 kg
solution
we will take here first HCF of 75 and 69
factor of 75 = 3 × 5 × 5
factor of 69 = 3 × 23
so here HCF of 75 and 69 = 3
so that here maximum weight required, to measure the weight of rice exact 3 times
so correct option is 3. 3 kg
Answer:
4. 9 kg
Step-by-step explanation:
The greatest common factor of 45 kg and 63 kg is 9 kg.
45 = 9×5
63 = 9×7
A 9 kg weight could be used to weigh these amounts exactly.
_____
Comment on the problem statement
Appropriate formatting is helpful. It is difficult to tell that your answer choices are not 1.6, 2.35, 3.3, and 4.9. None of those makes any sense. With minimal formatting effort, you could list them as ...
1. 6 kg
2. 35 kg
3. 3 kg
4. 9 kg
Even better, the choices could be identified using letters and/or a separator other than a decimal point: A) 6 kg, B) 35 kg, and so on. The idea is to make it very clear what the numbers of the choices are. Less confusion is better.
Keenan currently does a total of 8 pushups each day. He plans to increase the number of pushups he does each day by 2 pushups until he is doing a total of 30 pushups each day. Which equation can we use to determine x, the number of days that it will take Keenan to reach his goal? In an expression
Answer:
Number of push up = 8 + 2x
Step-by-step explanation:
Keenan can do 8 push ups each day. He plans to do 2 extra day until he is doing 30 push ups. Each day he does an additional 2 push up, on the first day he does 8 + 2 = 10 push up, on the second day he does 10 + 2 = 12 push ups. This can be represented by the expression:
Number of push up = 8 + 2x
where x is the number of days.
To do 30 push ups, we can calculate the number of days needed:
30 = 8 + 2x
2x = 30 - 8
2x = 22
x = 11
Answer:
8+2x its from khan academy
Step-by-step explanation:
give person above brainliest :)
in a right angle triangle ACB in which AC=X AB=12 and angle ACB=30° Find the value of x
Answer:
According to the Pythagoras Theorem-
[tex]hypotenuse^{2}[/tex] = [tex]alltitude^{2} + base^{2}[/tex]
Another way to write g(h(x)) is
Answer:
((x)h)g
Step-by-step explanation:
Hope this helps and if this is wrong then please comment the right answer and I will edit it thanks :)
What is the area of the trapezoid shown below?
Answer:
180 units
Step-by-step explanation:
In order to solve this, we need to find the length of the missing side of the triangle using the Pythagorean theorem.
a²+b²=c²
a= 7
b=x
c= 25
7²+x²=25²
49+x²=625
Subtract 49 from both sides
x²=576
x=24
The length of the missing side of the triangle is 24, which is also the base of the triangle. We need to find the area of the triangle so we use the formula for the area of a triangle, A=1/2bh.
A= 1/2 (24 x 7)
A=84
Now, we need to find the area of the rectangle.
Formula for area of rectangle: A= bh
A= bh
A= 4 x 24
A= 96
Next, we add the areas of both shapes to get the area of the entire figure.
96+84=180
Area of figure= 180
Answer:
area = 180
Step-by-step explanation:
will make it simple and short
area of a trapezoid = (a + b) h/2
h = sqrt(25² - 7²) = 24
Area = (4 + 11) * 24/2
area = 180
Prove the identity sin^2theta x csc^2 theta = sin^2 theta + cos^2 theta 20 points!!
Answer:
Step-by-step explanation:
sin² Θ csc² Θ =sin² Θ + cos² Θ
sin² Θ 1/sin² Θ = sin² Θ + cos² Θ
1 = sin² Θ + cos ² Θ (this is a trig identity)
what is the image (-9,-2) after a reflection over the x-axis ?
Answer:
(-9,2)
Step-by-step explanation:
The rule for reflecting over the x axis is
(x,y)→(x,−y)
(-9, -2) becomes ( -9, - -2) = (-9,2)
Answer:
(-9,2)
Step-by-step explanation:
It will be -9,2 because when you reflect across x axis you change the y axis not the x axis because if you imagine it it works like that
Find A ∩ B if A = {4, 7, 10, 13, 17} and B = {3, 5, 7, 9}. a.{3, 4, 5, 7, 9, 10, 13, 17} b.Ø c.{7}
Answer:
The answer is option CStep-by-step explanation:
A = {4, 7, 10, 13, 17}
B = {3, 5, 7, 9}
To find A ∩ B means to find the intersection of the two sets A and B
To find the intersection find the elements that occur in both sets.
That's for set A and B the elements that occur in both sets is only 7
So we have
A ∩ B = { 7 }Hope this helps you
Write the expression -5x(4+3x) using words
Answer:
negative five times x, parenthesis four plus three times x
Step-by-step explanation:
Hey there!
Well,
-5x ⇒ negative 5 times x
(4 + 3x) ⇒ parenthesis four plus three times x
Hope this helps :)
I NEED HELP ON THIS QUESTION!!!! I WILL GIVE BRAINLIEST TO THE BEST ANSWER!!!!
Answer: Ruiz and greater
Step-by-step explanation:
I graphed them.
this question is difficult. can someone explain plz! asap
Answer:
See below.
Step-by-step explanation:
Central angles AOB and DOC are vertical angles, so they are congruent.
m<AOB = 50°
BD is a diameter, so the measure of central angle BOD is 180°.
The measure of an arc of a circle is equal to the measure of the central angle that subtends it.
m<AOB + m<AOE + m<EOD = 180°
50° + m<AOE + 60° = 180°
m<AOE + 110° = 180°
m<AOE = 70°
m(arc)AE = m<AOE = 70°
m(arc)AB = m<AOM = 50°
A full circle has 360 deg of central angle and of arc measure.
m(arc)ECB = 360° - m(arc)AE - m(arc)AB
m(arc)ECB = 360° - 70° - 50°
m(arc)ECB = 240°
Angle BOC is vertical with angle AOD.
m<BOC = m<AOD = m<AOE + m<EOD
m<BOC = 70° + 60°
m<BOC = 130°
Find the area of the following rectilinear figure.
Answer:
Area : 14+10+40=64 square unit
Step-by-step explanation:
the area of the top rectangle with sides 2 and 7
A=2*7=14 square unit
the area of the middle rectangle with sides : (7-5)=2 and side (7-2)=5
Area=5*2=10 square unit
the bottom rectangle : sides 10 and 4
Area=10*4=40
add the areas : 14+10+40=64 square unit
7.If 18, a, b, - 3 are in A.P., then a+b = ?
(1 Point)
1212
1515
1616
1111
please give the answer as fast as you can
please
Answer: 15
Step-by-step explanation:
General terms in AP
f, f+d, f+2d, f+3d, .... , where f= first term and d= common difference.
The given A.P. : 18, a, b, - 3
here, f= 18
[tex]f+d= a ...(i)\\\\f+2d = b ...(ii)\\\\f+3d= -3 ...(iii)\\\\[/tex]
Put f= 18 in (iii) ,
[tex]18+3d=-3\\\\\Rightarrow\ 3d= -3-18\\\\\Rightarrow\ 3d= -21\\\\\Rightarrow\ d=-7[/tex]
Put f= 18 and d= -7 in (i) and (ii) , we get
[tex]a=18+(-7)=11\\\\b=18+2(-7)\\\\\Rightarrow\ b=18-14\\\\\Rightarrow\ b=4[/tex]
Now, [tex]a+b= 11+4=15[/tex]
Hence, the correct answer is "15".
Triangle P Q R is shown. The length of P Q is 17, the length of Q R is 15, and the length of P R is 14. Law of cosines: a2 = b2 + c2 – 2bccos(A) What is the measure of AngleP to the nearest whole degree? 35° 52° 57° 72°
Answer:
P = 57°
Step-by-step explanation:
Given the following :
PQ = 17
QR = 15
PR = 14
Using the cosine formula since the length of the three sides are given:
a2 = b2 + c2 – 2bccos(A)
To find P:
QR^2 = PQ^2 + PR^2 – 2(PQ)(PR)cos(P)
15^2 = 17^2 + 14^2 – 2(17)(14)cos(P)
225 = 289 + 196 - 476 cosP
476*CosP = 485 - 225
476*CosP = 260
CosP = 260/476
CosP = 0.5462184
P = Cos^-1(0.5462184)
P = 56.892029
P = 57°
Answer:
57 degrees
Step-by-step explanation:
just took the test on edg2020
Find each rate and unit rate.
420 miles in 7 hours
Answer:
60 miles per hour.
Step-by-step explanation:
420 miles in 7 hours is the same thing as (420 / 7) = 60 miles per hour.
Hope this helps!
Answer:
60 miles / hour
Step-by-step explanation:
The unit rate will be the number of miles in 1 hour. Therefore, we must divide the miles by the hours.
miles/hours
We know it is 420 miles in 7 hours.
420 miles / 7 hours
Divide 420 by 7
420/7=60
60 miles/ hour
The unit rate is 60 miles per hour.
Bryan decides he wants to help pay for a birthday party for his little brother at the ice rink. It cost $50 to rent the party room and then $4 for each person attending. Bryan only has $100 to spend at the party. a) What are the constraints for this situation? b) Find the domain and range for this situation. Make sure you include all values for each using correct notation.
Answer:
a) 4*x + 50 ≤ 100
b) Domain x (0 ; 12 ) Range f(x) ( 50 ; 98 )
Step-by-step explanation:
The constraint is:
4*x + 50 ≤ 100 where "x" is the number of persons
b) Domain for x
x = 0 up to x = 12 x (0 ; 12 )
c) Range for f(x)
f(x) = 4*x + 50
f(0) = 4*0 + 50 f(0) = 50
f(12) = 4*12 + 50 f (12) = 98
f(x) ( 50 ; 98 )
what are the possible polynomial expression for dimensions of the cuboid whose volume is 12y2 + 8y -20
!
!
!
!
!
plz answer fast
Answer:
The answer is below
Step-by-step explanation:
The volume of a cuboid is the product of its length, height and breadth. It is given by:
Volume = length × breadth × height
Since the volume is given by the expression 12y² + 8y - 20. That is:
Volume = 12y² + 8y - 20 = 4(3y² + 2y - 5) = 4(3y² + 5y - 3y -5) = 4[y(3y + 5) -1(3y + 5)]
Volume = 4(y-1)(3y+5)
Or
Volume = 12y² + 8y - 20 = 2(6y² +4y - 10) = 2(6y² + 10y - 6y -10) = 2[y(6y + 10) -1(6y + 10)]
Volume = 2(y-1)(6y+10)
Therefore the dimensions of the cuboid are either 4, y-1 and 3y+5 or 2, y-1 and 6y+10
Answer:
plz mark me as brainiest
are you allowed to simplify a fractional exponent when you are rewriting radicals to have a radical exponent? for example, [tex]\sqrt[8]{y^{2} }[/tex] is written as y^2/8 , but are you allowed to simplify the 2/8 to 1/4?
Answer:
This is true
Step-by-step explanation:
Yes when you make a radical into a power you can simplify the power, like you are saying.
WILL GIVE BRAINLIEST!!!
Answer:
2 x^2 sqrt(13)
Step-by-step explanation:
sqrt( 52x^4)
sqrt( 4*13 * x^2 * x^2)
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt( 4)*sqrt(13) *sqrt( x^2) *sqrt( x^2)
2 sqrt(13) x*x
2 x^2 sqrt(13)
52|2
26|2
13|13
1
[tex]\sqrt{52x^4}=\sqrt{2^2\cdot13\cdot(x^2)^2}=2x^2\sqrt{13}[/tex]
Consider the circle of radius 10 centered at the origin. Find an equation of the line tangent to the circle at the point (6, 8)
Answer:
y = -3/4 x + 25/2
Step-by-step explanation:
x² + y² = 100
Take derivative with respect to x.
2x + 2y dy/dx = 0
2y dy/dx = -2x
dy/dx = -x/y
Evaluate at (6, 8).
dy/dx = -6/8
dy/dx = -3/4
Use point-slope form to write equation:
y − 8 = -3/4 (x − 6)
Simplify.
y − 8 = -3/4 x + 9/2
y = -3/4 x + 25/2
luis almuerza 1/3 de una pizza y juan 2/5 de la misma si deciden distribuirse el resto de la pizza en partes iguales determina que fraccion le tocaria a cada uno
Answer:
A cada uno le toca:
2/15
del total de la pizza.
Step-by-step explanation:
1/3 + 2/5 = 5 / 15 + 6 / 15 = 11/15
los dos, inicialmente, han almorzado
11/15
de la pizza.
Si el resto lo dividen en dos partes:
15/15 - 11/15 = 4/15
el resto es de 4/15
al dividir este resto entre los dos:
(4/15) / 2 = 4/(15*2) = 4/30 = 2/15
A cada uno le tocarían:
2/15
del total de la pizza
