Step-by-step explanation:
Let H = HCF(A,B) and L = LCM(A,B)
Then A*B = L*H
Here L*H = 100*5 = 500
Also H <= A ,B <= L
So we need to find all A*B = 500, satisfying the above condition. This can be done using prime factorisation of 500.
Here 500 = 2^2 * 5^3
so possible values of A and B are
1 , 500
2, 250
4, 125
5,100
10,50
20,25
(assuming order doesn’t matter.)
so pairs satisfying given condition are → (20,25) and (100,5)
You can write a computer program in language of your choice to do it for other bigger numbers.
Given a right triangle ABC with altitude BD drawn to hypotenuse AC. If AC = 24 and DC = 6, what is the length of BC?
Answer:
BC = 12Step-by-step explanation:
BD is the altitude, it breaks ΔABC into two similar triangles:
ΔABD ~ ΔBCDThe ratios of corresponding sides:
AD/BD = BD/DC ⇒ BD² = AD*DC ⇒ BD² = (24 - 6)*6 ⇒ BD² = 108On the other hand:
BC² = BD² + DC² ⇒ BC² = 108 + 6² = 144 BC = √144BC = 12X + 6 > 18
Please help and show work if can.
Answer:
x > 12
Step-by-step explanation:
[tex]x+6->18-6\\=>x>12[/tex]
That's it for the workout. Hope it helps.
Please help I’ll give brainliest
Answer: A, 4^4
Step-by-step explanation:
4^7/4^3 = 4^4
Answer:
[tex]4^{4}[/tex]
Step-by-step explanation:
Rewrite the division as a fraction.
[tex]\frac{4^{7} }{4^{3} }[/tex]
Cancel the common factors.
[tex]\frac{4^{3}*4^{4} }{4^{3}*1 }[/tex]
[tex]4^{4}[/tex]
Hope this helps!
Reach out to me if you need more help with these types of problems.
What is the x-value in the solution to this system of linear equations?
2x − y = 11
x + 3y = −5
−3
−1
2
4
Answer:
4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsSolving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
2x - y = 11
x + 3y = -5
Step 2: Rewrite Systems
2x - y = 11
[Subtraction Property of Equality] Subtract 2x on both sides: -y = 11 - 2x[Division Property of Equality] Divide -1 on both sides: y = 2x - 11Step 3: Redefine Systems
y = 2x - 11
x + 3y = -5
Step 2: Solve for x
Substitution
Substitute in y [2nd Equation]: x + 3(2x - 11) = -5[Distributive Property] Distribute 3: x + 6x - 33 = -5Combine like terms: 7x - 33 = -5[Addition Property of Equality] Add 33 on both sides: 7x = 28[Division Property of Equality] Divide 7 on both sides: x = 4Answer:
x = 4
Step-by-step explanation:
2x - y = 11
x + 3y = -5
To calculate the value of x , firstly we need to find value of y.
solve for y
2x - y = 11subtract 2x from both side
2x - 2x - y = 11 - 2x-y = 11 - 2xchange the sign of both side of equation
y = -11 + 2xrewrite
y = 2x - 11Solve for x
y = 2x - 11x + 3y = -5substitute the value of y in the equation
x + 3( 2x - 11 ) = -5distribute 3
x + 3 × 2x - 3× 11 = -5x + 6x - 33 = -5combine like terms
7x - 33 = -5Add 33 on both side
7x - 33 + 33 = -5 + 337x = 28divide both side by 7
7x / 7 = 28 / 7x = 4If 1 is added in numerator and denominator then a fraction changes to 4. If 1 is subtracted from the numerator and denominator, fraction changes to 7. Numerator of the fraction is
Answer:
N=15
Step-by-step explanation:
N=numerator
D=denominator
(1+N)/(1+D)=4
(N-1)/(D-1)=7
(1+N)=4(1+D)
N=4D+3
(4D+3-1)/(D-1)=7
4D+2=7(D-1)
4D-7D=-2-7
D=-9/-3=3
N=4D+3=15
Help !!! Hurry I do not know the answer
Answer:
wwiwjwjwjwnwnsnsnssnnssnnssnsnsnsnsnwnwn to
Which is the graph of the system x + 3y > -3 and y < 1/2x + 1
Answer:
4th graph
Step-by-step explanation:
x + 3y > -3
3y > -x - 3
y > -(1/3)x - 1
Blue Line
y < 1/2x + 1
Orange Line
y- intercepts = -1 and 1
Please help me with this question!
Answer:
part 2 of 3 means is it ans
Step-by-step explanation:
I don't understand ur question can u explain me then I I will ans
find the vaule of a in ax+by=c
Answer:
a=[tex]\frac{c-by}{x}[/tex]
Step-by-step explanation:
To find a, we need to change the equation so a is the variable that is left by itself. So...
ax+by=c Get rid of anything else besides the x and its coefficient.
-by -by
ax=c-by Because a has to be completely isolated, get rid of its coefficient.
/x /x
a=[tex]\frac{c-by}{x}[/tex]
Hope this helps and have a great day :D
Answer:
[tex]a x + by = c \\ ax = c - by \\ \frac{ax}{x} = \frac{c - by}{x} \\ a = \frac{c - by}{x}[/tex]
What are the lengths of AD, DB, AE, and EC? Measure and record them.
Kate hiked 14 miles in 6 hours. Which rate represents the number of miles traveled per hour? L
Answer:
That would be 14 miles ÷ 6 hours which would be 2.3333 or 2 and 1/3
pls help quickly!! :(
what is the surface area of the right cone below?
Answer:
B.
Step-by-step explanation:
Answer:
D, 143.
Step by step explanation:
Can anyone help with this question please? Will mark brainliest :)
Answer:
A = 15x^2 +11x+4
Step-by-step explanation:
can we assume you want the area...
A = 1/2 (B1+B2) h
A = 1/2(10x +4)(3x+2)
A= 1/2(30x^2 +22x+8)
A = 15x^2 +11x+4
what is the average of 4741, 4261, 4628?
Answer:
4628
I hope it will help you all
She has 40 coins all made up of quarters and dimes, And when she counted them up she had $7.75 from them, how much of each did she have?
Answer:
x = number of quarters = 25
y = number of dimes = 15
Step-by-step explanation:
Let
x = number of quarters
y = number of dimes
1 dime = $0.10
1 quarter = $0.25
x + y = 40 (1)
0.25x + 0.10y = 7.75 (2)
From (1)
x = 40 - y
Substitute x = 40 - y into (2)
0.25x + 0.10y = 7.75 (2)
0.25(40 - y) + 0.10y = 7.75
10 - 0.25y + 0.10y = 7.75
- 0.25y + 0.10y = 7.75 - 10
-0.15y = -2.25
y = -2.25/-0.15
y = 15
Substitute y = 15 into (1)
x + y = 40 (1)
x + 15 = 40
x = 40 - 15
x = 25
x = number of quarters = 25
y = number of dimes = 15
Total quarters = 25 × $0.25
= $6.25
Total dimes = 15 × $0.10
= $1.5
Aisha wants to paint the four walls of her living room. Each wall is 2.6 m high and 3.5 m long. One wall has a door of 2.2 m by 0.8 m. Tins of paint cost £11 per 2 L tin. Each litre of paint can cover 8 m2 of wall. There is an offer of: Buy 2 tins get the 3rd at half price. How much will Aisha pay to paint her living room
Answer:
£22
Step-by-step explanation:
Area to be painted
4walls - door
a = 4(2.6 * 3.5) - 2.2 * 0.8
a = 34.64 m²
Paint needed
p = 34.64 / 8
p = 4.33
Must round up
p = 5 liters
Tins needed
t = 5/2
t = 2.5
must round up
t = 3
Cost
since 1 is free with 2 will pay for 2
c = 11 * 2
c = 22
£22
Which statements about this system of equations are true? Check all that apply. Negative x + 6 y = 16. 8 x minus 6 y = negative 2.
Step-by-step explanation:
The given equations are :
-x+6y = 16 ...(1)
8x-6y = -2 ...(2)
The y-variable will be eliminated when adding the system of equations.
Adding equations (1) and (2).
-x+6y+8x-6y = 16+(-2)
7x = 14
x = 2
Put the value of x in equation (1).
-2+6y = 16
6y = 16+2
y = 3
There is only one solution to the system of equations i.e. (2,3).
Can someone help me please
Answer:
Yes what is the question?
Step-by-step explanation:
Answer:
What is the question?
Step-by-step explanation:
: Cho tam giác ABC vuông tại C, trong đó AC = 0,9m, BC = 1,2m. Tính các tỉ số lượng giác của góc B, từ đó suy ra các tỉ số lượng giác của góc A.
Answer:
Step-by-step explanation:
Vì tam giác ABC vuông tại C nên ta áp dụng định lí pitago=> AB²=AC²+BC²=0.9²+1.5²=3.06=>AB= (3 căn bậc hai của 34)/10
sin B=AC/AB=(3 căn bậc hai của 34)/34
cos B=BC/AB
tan B= AC/BC
cot B= BC/AC
Tương tự suy ra tỉ số lượng giác góc A
If the abscissa of a point is negative , then in which all quadrants the point can lies?
Answer:
The point can either lie on the second quadrant or the third quadrant
Step-by-step explanation:
Mathematically, we have the ordinate and the abscissa
The ordinate represents the y axis while the abscissa represents the x axis value
For the abscissa to be negative, it means we are talking about the negative x axis
Now, the y axis can either be positive or negative too
When it is positive , we are referring to the point lying on the second quadrant
when it is negative, we are referring to the point lying on the third quadrant
I need help with this question
Answer:
a
Step-by-step explanation:
because- the numbers and then choose correct options
a rack bought for rs.8000 and sold at 15% loss, find selling price
Answer:
Rs 6800
Step-by-step explanation:
Hope this helps
what do you call a french pimple
Answer:
bouton
Step-by-step explanation:
nyatakan nilai digit 3 dalam asas sepuluh, bagi nombor 22314 asas 5
Answer:
75
Step-by-step explanation:
22314 asas 5 => digit 3 dalam asas 10 menjadi :(3×5²) = 3×25 = 75
x+7=2(x-15) solve for x
Answer:
x = 37
Step-by-step explanation:
x+7 = 2(x-15)
x+7 = 2x-(2*15)
x+7 = 2x-30
7+30 = 2x-x
37 = x
So, the answer is x = 37.
Work out the area of a rectangle with base, b = 14mm and perimeter, P = 36mm.
Step-by-step explanation:
perimeter = 2(lenth + base)
perimeter-2b = 2(length)
Area=length×breadth
Answer fast please :( Kristy wants to know what the probability is that a card drawn randomly from a deck will be a club her sample space includes all 52 cards in a standard deck which of these outcomes compose the event
Answer:
.25
Step-by-step explanation:
there are 13 clubs
13/52= 1/4
Arithmetic Sequences
Find the missing term. . . . 14, __, 28, . . .
Answer:
21
Step-by-step explanation:
goes up by 7
Argent deadline is tomorrow a²-(b-c)²
Answer:
[tex]a^2 - ( b- c)^2 = a^ 2- b^2 - c^2 +2 bc[/tex]
Step-by-step explanation:
[tex]Using \ (x - y)^2 = x^2 - 2xy + y^2[/tex]
[tex]a^2 - (b - c)^2 = a^2 - ( b^2 - 2bc + c^2 ) = a^2 - b^2 + 2bc - c^2 = a^2 - b^2 - c^2 + 2bc[/tex]
What is the value of b2 - 4ac for the following equation?
2x^2 - 2x - 1 = 0
Answer:
12
Step-by-step explanation:
We are finding the discriminant
b^2 -4ac
2x^2 - 2x - 1 = 0
a =2 b = -2 c = -1
(-2)^2 - 4(2)(-1)
4 +8
12
Answer:
[tex]b^2 - 4ac= 12[/tex]
Step-by-step explanation:
Standard quadratic equation :
[tex]ax^2 + bx + c = 0[/tex]
Given equation :
[tex]2x^2 - 2x - 1 = 0[/tex]
From the given equation , a = 2, b = -2 , c = -1
Therefore,
[tex]b^2 - 4ac= ( -2)^2 - ( 4 \times 2 \times (-1))[/tex]
[tex]=4 + 8 = 12[/tex]