Answer:
The LCM of 3a and 2b = 6P
Step-by-step explanation:
LCM of 3 a and 2 b will be 6 p
Since a is odd, which means it's not divisible by 2. Therefore a can be number 1, 3, 5, 7, 9, 11, .......
b is not divisible by 3, which means b can be number 1, 2, 4, 5, 7, 8, 10, 11, .....
LCM of a and b is P
Factors of 2b can be 2 multiplied by (1, 2, 4, 5, 7, 8, 10, 11, ..... )
Factors of 3a can be 3 multiplied by (1, 3, 5, 7, 9, 11, .......)
So, to get the LCM of 3a and 2b, since we already show the factors of a and b, Then, 3 X 2 X P (remember P is the LCM of a and b)
The LCM of 3a and 2b = 6P
what is 8 to the power of ten?
Answer:
80
Step-by-step explanation:
......................................
Cynthia has $2.15 worth of change in her pocket. She has three more nickels than quarters and twice as many dimes as quarters. How many of each type coin has she?
Answer:
7 nickles
8 dimes
4 quarters
Step-by-step explanation:
q
d = 2q
n = q+3
25q + 10d + 5n = 215
25q + 10(2q) + 5(q + 3) = 215
25q + 20q + 5q - 15 = 215
50q = 200
q = 4
d = 2q = 8
n = q + 3 = 7
Find the distance between the points (5, - 4) and (5, 7)
Find the volume of this square
based pyramid.
Answer:
60
Step-by-step explanation:
I hope this is correct, if it is wrong please feel free to let me know and I will fix it. I'm sorry in advance if it is incorrect.
Can someone help me with this question? Workings would be appreciated :] Adrian, Ben and Charlie share some sweets in the ratio 8:5:10 Charlie got 20 more sweets than Adrian. Work out the total amount of sweets.
Answer: 230 - the total amount of sweets.
Step-by-step explanation:
Adrian received 8 pieces of sweets;
Ben got 5 pieces of sweets;
Charlie received 10 pieces of sweets.
The sum of all parts:
8 + 5 + 10 = 23
Let's calculate how many parts Charlie got more than Adrian:
10 - 8 = 2
It is also known that Charlie received 20 more sweets than Adrian. This means that you can calculate how many sweets are in one part.
20 : 2 = 10
Now we can calculate the total amount of sweets:
10 × 23 = 230
Select ALL the correct answers.
Select all the expressions that are equivalent to the polynomial below
(3x-7)(2x+8)
Answer:
A. 4(x - 4) + 2(3x² + 3x - 20)
C. (11x² + 7x - 55)-(5x² - 3x + 1)
F. (3x² + 5x - 28) + (3x² + 5x - 28)
Step-by-step explanation:
Given:
(3x-7)(2x+8)
= 6x² + 24x - 14x - 56
=6x² + 10x - 56
A. 4(x - 4) + 2(3x² + 3x - 20)
= 4x - 16 + 6x² + 6x - 40
= 6x² + 10x - 56
B. (3x² + 5x - 28) - (2x² + 4x + 28)
= 3x² + 5x - 28 - 2x² - 4x - 28
= x² + x - 56
C. (11x² + 7x - 55)-(5x² - 3x + 1)
= 11x² + 7x - 55 - 5x² + 3x - 1
= 6x² + 10x - 56
D. 4(x - 4) - 2(3x² + 3x - 20)
= 4x - 16 - 6x² - 6x + 40
= - 6x² - 2x + 24
E. (11x² + 7x - 55)-(5x² - 3x + 2)
= 11x² + 7x - 55 - 5x² + 3x - 2
= 11x² - 5x² + 7x + 3x - 55 - 2
= 6x² + 10x - 57
F. (3x² + 5x - 28) + (3x² + 5x - 28)
= 3x² + 5x - 28 + 3x² + 5x - 28
= 6x² + 10x - 56
A cylinder has a diameter of 24 inches. If its height is half its radius, what is the volume of the cylinder in cubic inches?
A.
72π cu. in.
B.
864π cu. in.
C.
3,456π cu. in.
D.
6,912π cu. in.
Answer:
B. 864π cu. in.
Step-by-step explanation:
Given the following data;
Diameter = 24 inches
Radius, r = diameter/2 = 24/2 = 12 inches
Height, h = radius/2 = 12/2 = 6 inches
To find the volume of the cylinder in cubic inches;
First of all, we would determine the area of its circular base.
Area of circle = πr²
Area = π * 12²
Area = 144π in² (in terms of pie, π)
Next, we would find the volume of the cylinder;
Mathematically, the volume of a cylinder is given by the formula;
V = πr²h
Where;
V is the volume of a right circular cylinder.r represents the radius of the cylinder.h represents the height of the cylinder.Substituting into the formula, we have;
Volume = 144π * 6
Volume = 864π cu. in
Answer:
B. 864π cu. in.
Step-by-step explanation:
Find the length of the missing
Answer:
12
Step-by-step explanation:
using pythagoras theorem
here 15 is hypotenuse since it is opposite 0f 90 degree
9 and x are the other smaller sides of a triangle
according to pythagoras thorem the sum of square of two smaller sides of a triangle is equal to the square of hypotenuse. So,
9^2 + x^2 = 15^2
81 + x^2 = 225
x^2 = 225 - 81
x^2 = 144
x = [tex]\sqrt{144[/tex]
x = 12
Cos100x+4/3=0.............
answer:
[tex]{ \tt{ \cos(100x) + \frac{4}{3} = 0}} \\ { \tt{ \cos(100x) = - \frac{4}{3} }} \\ { \tt{100x = { \cos }^{ - 1} ( - \frac{4}{3} )}} \\ { \tt{invalid \: answer}}[/tex]
Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a
15% alcohol solution. The equation 0.10x + 0.15(50 -x) = 0.12(50) can be used to find the amount of 10% alcohol
solution Bruce should use.
How much of the 10% alcohol solution should Bruce use?
40
mL
How much of the 15% alcohol solution should Bruce use?
mL aASAP
Answer:
x = 30 ml of 10%
50 - x = 20 ml of 15%
Step-by-step explanation:
0.10x + 0.15(50 - x) = 0.12(50)
distribute
0.10x + (7.5 - 0.15x) = 6
Combine like terms
-0.05x = -1.5
Divide both sides by -0.05
x = 30 ml of 10%
50 - x = 20 ml of 15%
Will give BRAINLIEST to the correct answer!!!
Find the values of sin 0, cos 0, and tan 0 for the given right triangle. Give the exact values.
Answer:
the length of adjacent =√25²-24²=√49=7
sin 0 = 24/25
cos 0 = 7/25
tan 0 = 24/7
simplify 5x-26y+7x+32y
Please help needed!!! Help me!!!
a = 85°
Step-by-step explanation:
Method 1
5x = 2x + 57° (An exterior angle of a triangle is equal to the sum of its two interior opposite angles)
3x = 57°
x = 57/3 = 19°
a = 180 - 57 - 2x
a = 180 - 57 -2(19)
a = 85°
Method 2
2x + a + 57° = 180°
2x + a = 123° ==> 1
5x + a = 180°
x = (180° - a)/5 ==> 2
By substitution
2((180° - a)/5) + a = 123°
(360° - 2a)/5 + a = 123°
(360° - 2a)/5 = 123° - a
360° - 2a = 5(123° - a)
360° - 2a = 615° - 5a
-2a + 5a = 615° - 360°
3a = 255°
a = 85°
HELP WOULD BE MUCH APPRECIATED
Answer:
the trapezoid will go on the side where it states "will have no pair of parallel sides"
Answer:
A trapezoid has at least one pair of parallel sides.
Step-by-step explanation:
Please solve with explanation
Answer:
56+8√2=8(7+√2)
Step-by-step explanation:
1. P= AB+BC+CD+DE+EF+FG+GA
2. AB=DC=12
BC=16
AG=ED=4
AG+ED+GE=16
4+4+GE=16
GE=16-8
GE=8
GF²= EF²+GE²
GF²=64+64
GF²=128
GF=8√2
3.P= 12+16+12+4+8+8√2+4= 56+8√2
Answer:
Area = 160 sq cm
Perimeter = 67.31 cm
Step-by-step explanation:
Area of the figure = Area of rectangle with dimensions 16 cm and 12 cm - Area of the right triangle with base and height ecah 8 cm.
=16*12 - 1/2 * 8 *8
= 192 - 32
= 160 sq cm
GEF is a right triangle.
Therefore, by Pythagoras theorem:
[tex] FG^2 = FE^2 + GE^2 [/tex]
[tex] \therefore FG^2 = 8^2 + 8^2 [/tex]
[tex] \therefore FG^2 = 64+64 [/tex]
[tex] \therefore FG^2 = 128 [/tex]
[tex] \therefore FG =\sqrt {128}[/tex]
[tex] \therefore FG =11.3137085[/tex]
[tex] \therefore FG = 11.31\: cm[/tex]
Perimeter of the figure
= 12 + 16 + 12+4+8+11.31+4
= 67.31 cm
determine the equation of the circle graphed below.
( help me please )
Answer:
(x+5)²+(y-4)²=17
Step-by-step explanation:
I think it's safe to assume that the (-5,4) coordinate is in the center
To find the x and y coordinate just flip the signs
which means it would look like
(x+5)²+(y-4)²=?
the question mark is equal to the raidus squared
to find the radius use the distance formula
√((-4+5)²+(8-4)²)= 4.123106
square this to get 17
the final answer is then
(x+5)²+(y-4)²=17
The solutions of x^2=16x-28 are
Answer:
the solutions of x^2=16x-28 are
2) 2 and 14
ok pls help i’m so bad at this
Answer:
6,068
Step-by-step explanation:
the length of the segment AB is 7.7*sin(52°) = 6,068
Answer:
6,068
Step-by-step explanation:
the length of the segment AB is 7.7*sin(52°) = 6,068
Step-by-step explanation:
Which of the following represents the factorization of the trinomial below?
-3x2 – 18x2 – 24x
Answer:
-3x(7x+8)
Step-by-step explanation:
-3x^2-18x^2-24x
-3x(x+6x+8)
-3x(7x+8)
The volume of a cube is 270cm cubed. Work out the length of its side rounded to 1 DP
Answer:
a ≈ 6.5 cm
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityGeometry
Volume of a Cube Formula: V = a³
a is a side lengthStep-by-step explanation:
Step 1: Define
Identify
V = 270 cm³
Step 2: Solve for a
Substitute in variables [Volume of a Cube Formula]: 270 cm³ = a³[Equality Property] Cube root both sides: 6.4633 cm = aRewrite: a = 6.4633 cmRound: a ≈ 6.5 cmAnswer:
The length of it's side is 6.5 cm.
Step-by-step explanation:
Here's er have given that the Volume of cube is 270 cm³. And we have to find the length of its side rounded to 1DP.
To find the length of its side we apply the formula ; Volume of cube and then simplify .
Volume of cube = ( a )³
Where , a is the length of side and Volume of cube have given in the question which is 270cm³ .plug the values
270 cm ³ = a³
Taking cube root of both side
[tex] \small \sf \sqrt[3]{270 \: cm {}^{3} } = \sqrt[3]{a {}^{3} } [/tex]
6.4633 cm = a
Rewrite
a = 6.4633 cm
Round nearest to 1DP
a ≈ 6.5 cm
Hence , Length of it's side is 6.5 cm.
A spinner with 12 equal sections is spun. Each section is numbered 1 to 12. What Is the probability of landing on an odd number. A) 25% B) 75% C) 100% D) 50%
Answer:
D
Step-by-step explanation:
What's the perimeter of this shape?
Answer:
32m
Step-by-step explanation:
7+5+5+4+4+1+3+3=32
I WILL GIVE BRAINIEST JUST PLEASE ANSWER THIS IM ON A TEST ;-;
Answer:
a)Fourth coordinate (- 4 , 1 )
b)Dimension : 6 unit by 3 unit
c)Area = 18 square units
Step-by-step explanation:
Given coordinates A = ( 2 , 1) , B = ( 2 , 4 ) , C= ( -4 , 4)
Find D.
Let D = (x , y)
For a rectangle, mid point of diagonal are same.
[tex]Mid - point \ of \ AC = ( \frac{2-4}{2}, \frac{4+1}{2}) = (-1, 2.5)\\\\Mid - point \ of \ BD = ( \frac{x+2}{2}, \frac{y+4}{2} )[/tex]
Since mid-points are same. Equate :
[tex]\frac{x+2}{2} = -1\\\\x+2 = -2\\\\x = -4[/tex]
[tex]\frac{y+4}{2} = 2.5\\\\y + 4 = 5\\\\y = 1[/tex]
a)
Therefore, D = ( -4, 1)
Since parallel sides of a rectangle are the same.
We will find the length of the sides using distance formula.
Distance between ( 2, 1 ) and ( 2, 4)
[tex]Distance_{AB} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} } =\sqrt{(2-2)^2 + (4-1)^2 } = \sqrt{9} = 3[/tex]
AB = 3
Distance between ( 2 , 4 ) and ( -4 , 4)
[tex]Distance_{BC} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} } =\sqrt{(2--4)^2 + (4-4)^2 } = \sqrt{36} = 6[/tex]
BC= 6
CD is parallel to AB , therefore CD = 3
AD is parallel to BC, therefore AD = 6
b) Dimensions : length = 6 , breadth = 3
c) Area = Length x Breadth
= 6 x 3
= 18 square units
in the figure below, mMNO=83*. Find mMLO
Answer:
166degrees
Step-by-step explanation:
Using the theorem which states that the angle at the vertex is twice the angle at the intercepted arc
Angle at the vertex <MNO = 83degrees
Angle at the arc = m<MLO
According to the theorem
83 = 1/2(m<MLO)
m<MLO = 83 * 2
m<MLO = 166degrees
Hence the measure of angle MLO is 166degrees
En el subnivel basica superior de la unidad manuela cañizares el numero de estudiantes que se alimentan de forma inadecuada ( grasa saturada ) el triple del numero de estudiantes que consumen alimentos saludables menos 8. Si existen 392 estudiantes entre los que consumen alimentos sludables y los que no se alimentan de forma adecuada palntea una ecuacion y determina ¿cuantos estudiantes se alimentan de manera saludable y cuantos estudiantes se alimentan inadecuadamente?
Answer:
La cantidad de estudiantes que se alimentan de manera saludable es 100 y la cantidad de estudiantes que se alimentan inadecuadamente es 292.
Step-by-step explanation:
Existen 392 estudiantes entre los que consumen alimentos saludables y los que no se alimentan de forma adecuada. Esto es:
Estudiantes que se alimentan adecuadamente + Estudiantes que no se alimentan adecuadamente= 392
El numero de estudiantes que se alimentan de forma inadecuada es el triple del número de estudiantes que consumen alimentos saludables menos 8. El triple de un número se calcula multiplicando el número por 3. Entonces, siendo x la cantidad de estudiantes que se alimentan adecuadamente, la cantidad de estudiantes que no se alimentan adecuadamente se puede calcular como: 3*x - 8
Por lo que:
x + 3*x - 8= 392
Resolviendo:
x + 3*x= 392 + 8
4*x= 400
x= 400÷4
x= 100
Entonces: 3*x - 8= 3*100 -8= 300 - 8= 292
La cantidad de estudiantes que se alimentan de manera saludable es 100 y la cantidad de estudiantes que se alimentan inadecuadamente es 292.
What must be multiplied by 0.0426 to get 4260 ??
Answer:
[tex]{ \tt{let \: that \: value \: be \: { \bf{x}}}} \\ 0.0426 \times x = 4260 \\ { \tt{0.0426x = 4260}} \\ { \tt{x = \frac{4260}{0.0426} }} = 100000 \\ { \tt{answer = 100000}}[/tex]
0.0426 × y = 4260
y = 4260÷0.0426
y=100000
Nintendo is interested in the gaming experience of players for their new Mario Kart game . What type of survey should they use to gather the data?
Answer:
Online surveys
Explanation:
Online surveys will be the most suitable survey type here to gather gamers' experience with Nintendo's new game. Also being the most common and convenient type of surveys nowadays, online surveys are very much flexible and can be tailored to suit any audience, and even has a broader audience. Nintendo can use online surveys here to gather user's(all over the world) experience through their website, emailed to people directly etc. There is even a wider reach now considering the popular use of mobile devices.
helpppp i neeeed to know this in order to pass
B
The y-values go from at least -6 to at most 9 so B fits that
Answer:
-6 <=y <=9
Step-by-step explanation:
8. Find TN, MP, TQ, PT
Please and thank you!
Answer:
TN = 13 units
MP = 22 units
TQ = 6.93 units
PT = 13 units
Step-by-step explanation:
If T is a circumcenter of the given triangle MNP,
Measure of TN = Measure of TM = Measure of TN
By applying Pythagoras theorem in ΔMRT,
MT² = TR² + MR²
MT² = (12)² + 5²
MT = [tex]\sqrt{169}[/tex]
MT = 13
Measure of TN = 13 units
Since, TQ, TS and RT are the perpendicular bisectors of the sides MP, NP and MN respectively,
Measure of MP = 2(PQ)
= 2(11)
= 22 units
By applying Pythagoras theorem in ΔTQM,
MT² = TQ² + MQ²
(13)² = TQ² + (11)²
TQ = [tex]\sqrt{169-121}[/tex]
TQ = [tex]\sqrt{48}[/tex]
TQ = 6.93
Measure of PT = Measure of TN = 13 units
complete the table of values for y=2x+3
