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.
how tall is three feet
Answer: if you mean Inches, its 25.
Answer:
36 inches or 1 yard
Step-by-step explanation:
The area of a rectangle is 99 square units. Its width measures 11 units. Find the length of its diagonal. Round to the nearest tenth of a unit.
Answer:
14.21267
Step-by-step explanation:
The second term in a sequence is 13. The term to term rule is "add 6"
Write an expression, in terms of n, for the nth term of the sequence.
Answer:
[tex]a_{n}[/tex] = 6n + 1
Step-by-step explanation:
This is an arithmetic sequence with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 13 - 6 = 7 and d = 6 , then
[tex]a_{n}[/tex] = 7 + 6(n - 1) = 7 + 6n - 6 = 6n + 1
Answer:
the first few terms would be
7, 13, 19, 25, 31
nth term = 7 + 6(n+1)
nth term = 7+ 6n + 6
nth term = 6n + 13
Please show your working too
1. Five men takes 3 hours and 20 minutes paint a house. How long would it take four men to paint a similar house? Give your answer in hours and minutes.
2. If 24 houses can be built by 6 builders in one year, how many builders would it take to build 52 houses in the same amount of time?
3. Two people can build four identical walls in three days. At this rate, how many of these walls could ten people build in 3.75 days?
4. Two toy makers can make eight toy soldiers in two weeks. How many toy soldiers could seven toy makers make in three weeks if they work at the same rate?
Answer:
1. 4hrs and 10mnts
2. 13 builders
3. 25 walls
4. 52 toy soldiers
Step-by-step explanation:
1. then, one man can do it in 16hrs and 40mnts, so, 4 men would take 4hrs and 10mnts
2. one builder can build 4 houses in a year, so 13 builders are needed to build 52 houses
3. they can do it at a rate of 2 walls per person for 3 days, so 10 ppl can make 25 walls in 3.75 days
4. 4 toys per person for 2 weeks, so 7 makers can make 52 toys for 3 weeks
30 points for 2 questions if you got the question correct I’m gonna give you brainlist
Which of the following represents the factorization of the polynomial below?
Answer:
option C
Step-by-step explanation:
2x^2 + 5x + 3
using middle term break method
we need two numbers which gives 6 when multiplied and 5 when added
2x^2 + (3 + 2)x + 3
2x^2 + 3x + 2x + 3
x(2x + 3) + 1(2x + 3)
(2x + 3)(x + 1)
Change 1/3 to a decimal number (show the working)
Answer:
0.33
Step-by-step explanation:
1/3 can also be written as 1 ÷ 3 which equals 0.33
Answer:
0.333333333
Step-by-step explanation
Please help i don't have enough time!! PISA: Exchange rate Mei-ling from Singapore has been preparing to go to South Africa for 3 months as an exchange student. She needed to convert some Singapore dollars (SGD) into South African Rand (ZAR). Mei-Ling discovered that the exchange rate between Singapore Dollar and South African Rand SeM 1 SGD = 4.2 ZAR Mei-Ling changed 3000 Singapore Dollars to South African Rand at this exchange rate. How much money did Mai Ling get in South African Rand?
Answer:
12600 (ZAR)
Step-by-step explanation:
4.2*3000
Rationalise the denominator and simplify:
7/√7
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {√7}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] =\frac{7}{ \sqrt{7} }\\ [/tex]
[tex] = \frac{7}{ \sqrt{7} } \times \frac{ \sqrt{7} }{ \sqrt{7} }\\ [/tex]
[tex] = \frac{7 \sqrt{7} }{ \sqrt{7} \times \sqrt{7} }\\ [/tex]
[tex] = \frac{7 \sqrt{7} }{7}\\ [/tex]
[tex](∵ \sqrt{a} \times \sqrt{a} = a)\\[/tex]
[tex] = √7[/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}[/tex]
Step-by-step explanation:
Given,
7/√7
The denominator is √7.
We know that
Rationalising factor of √a is √a.
Therefore, the rationalising factor of √7 is √7.
On rationalising the denominator them
=> (7/√7) × (√7/√7)
=> 7(√7)/(√7 × 7)
=> 7√7/7.
Hence, the denominator is rationalised.
hank paid #3.50 for 2 hamburgers. how much will he pay for 8 hamburgers?
Answer:
$14
Step-by-step explanation:
3.50/2= 1.75
1.75*8= 14
Factor the following expressions completely. Show and check all work on your own paper.
x2+169
Answer:
The factor is polynomial
Step-by-step explanation:
trust me broski
how many real solutions does the equation sqrt 2x+4=1/2 x+1 have?
Answer:
unfortunately I do not have the answer, but this is like the only way to tell you something
The 3 real roots of the given equation.
To find the real roots.
What is quadratic equation?Any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power. The quadratic formula to solve a quadratic equation ax2 + bx + c = 0 is x = [-b ± √(b2 - 4ac)]/2a.
Given that:
The equation are
[tex]\sqrt{2x+4}=\frac{1}{2x} +1\\[/tex]
By squaring both sides
[tex]2x+4=\frac{1}{4x^{2} }+1+\frac{1}{x} \\\\2x-\frac{1}{x}+3=\frac{1}{4x^{2} }\\\\8x^{3}-4x+12x^{2} -1=0\\ \\8x^{3}+12x^{2}-4x -1=0[/tex]
By solving quadratic equation ,Solutions for x
x1 = -1.74543
x2 = -0.17169
x3 = 0.41712
So, the 3 real roots of the given equation.
Learn more about quadratic equation here:
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The function h(t) = -16t^2 + h, 0 gives the height (in feet) of a ball dropped from a height of h, 0 after t seconds. A ball is dropped from a height of 12 feet. After how many seconds does the ball hit the floor?
could someone explain how to solve the equation? I know it's h(t) = -16^2 + 12
Answer:
Step-by-step explanation
the answee
What are the solutions to the equation (2x+1)^2-(x+13)=3x^2-2x+2
Look below at the picturess!!! pls help me i will give you 100 points !
Answer:
1/4
Step-by-step explanation:
because there 25% change
Answer:
for the blue its 1/4 or 2/8 and not likely.
For the yellow one it is 7/8 and likely.
all of the students at mountain range foreign language. 5/8 students take spanish.3/10 of the students take french.the remaining students take mandarin. what fraction of the students take mandarin?
Fraction of students taking mandarin: 3/40
Hope it helps.
HELP FAST
1. Find the missing angle measurements.
2. Describe how you found the missing angle measurements.
3. List all angle relationships.
4. Identify which angle relationships are Supplementary or Equal.
Answer:
Angle 1: 145 degrees
Angle 2: 35 degrees
Angle 3: 145 degrees
Angle 4: 35 degrees
Angle 5: 145 degrees
Angle 6: 35 degrees
Angle 7: 145 degrees
Angle 8: 35 degrees
Step-by-step explanation:
1) See above.
2) Angles 4 and 2 are equal, because they are vertical angles (share a vertex) where two parallel lines are cut by a transversal (line c?)
Angles 1 and 2 equal 180 degrees when added together, so 180 - 35 = 145, which is the measure of angle 1.
Angles 1 and 3 are also vertical, and therefore equal.
When two or more lines are cut by a transversal, the angles that are in the same relative position are corresponding angles.
When the lines are parallel, the corresponding angles are congruent.
Congruent angles are equal. So Angle 1 = Angle 5 and Angle 2 = Angle 6. Then the rules for vertical angles apply again, giving you the measures for angles 7 and 8.
3) 1 and 3 are vertical, 2 and 4 are vertical, 5 and 7 are vertical, 6 and 8 are vertical.
1 and 5 are corresponding, 2 and 6 are corresponding, 3 and 7 are corresponding, 4 and 8 are corresponding.
4) 1 and 2, 3 and 4, 5 and 6, 7 and 8 are all supplementary pairs.
1 and 4, 2 and 3, 5 and 8, and 6 and 7 are supplementary pairs.
1 and 3, 2 and 4, 5 and 7, 6 and 8 are equal pairs because they are vertical.
1 and 5, 2 and 6, 3 and 7, 4 and 8 are equal pairs because they are corresponding.
Hopefully this covers all they wanted.
Solve for x. Round to one decimal place
Answer:
x ≈ 27.2
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 EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] sinθ = opposite over hypotenuseStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = 54°
Opposite Leg = 22
Hypotenuse = x
Step 2: Solve for x
Substitute in variables [sine]: sin54° = 22/x[Multiplication Property of Equality] Cross-multiply: x = 22/sin54°Evaluate: x = 27.1935Round: x ≈ 27.2The area of a rectangular painting is 5049 cm. If the width of the painting is 51 cm, what is its
length?
Answer:
The length is 99 centimeters.
Step-by-step explanation:
The area of a rectangle is found by multiplying:
A = Length • width
We also know that the area of the rectangular painting is 5,049 cm^2
An equation to represent this is:
51w = 5049
To find w, divide:
5049/51 = 99
CHECK YOUR ANSWER:
Formula tor area of a rectangle:
Length x width
Use formula with the measurements:
99 x 52 = 5049
So the length is 99 centimeters.
HOPE THIS HELPS!
What is 9/12a = 1 ? Also what is 6/5b = 1 ? And Finaly what is 12c = 1 ?
Step-by-step explanation:
hope I understand your question
a = 9/12
b = 6/5
c = 1/12
please simplify the fractions by yourself
Given the first three terms of a linear sequence: 3x – 2;x+9; 2x + 5 Determine the value of x.
Answer:
x = 5
Step-by-step explanation:
The difference between consecutive terms will be equal , then
a₂ - a₁ = a₃ - a₂ , that is
x + 9 - (3x - 2) = 2x + 5 - (x + 9) ← distribute parenthesis on both sides
x + 9 - 3x + 2 = 2x + 5 - x - 9 , simplify both sides
- 2x + 11 = x - 4 ( subtract x from both sides )
- 3x + 11 = - 4 ( subtract 11 from both sides )
- 3x = - 15 ( divide both sides by - 3 )
x = 5
Answer:
x = 5
Step-by-step explanation:
Each new term is 1 greater than the previous term. Therefore:
x + 9 = (3x - 2) + 1 Equivalent to x + 9 = 3x - 2 + 1, or:
9 + 2 - 1 = 2x, or 2x = 10
Thus, x = 5
Check by substituting 5 for x as indicated:
3x - 2 becomes 13 (which means the next term must be 14)
x + 9 becomes 14, and
2x + 5 becomes 15
and these consecutive sequence terms are {13, 14, 15}
pls help and explain on tha pic
Answer:
5. 4
Step-by-step explanation:
[tex] \sqrt{ \frac{1}{25}} \times { \sqrt[4]{81} }^{3} \\ = \frac{1}{5} \times 27 \\ = 5.4[/tex]
brainliest please
explain how you can use a model to find 4 x 3/4 include a drawing and a solution
Answer:
4 x 3/4 = 3
Step-by-step explanation:
can you help me get the answer for this Q, please :)
the standard normal curve shown below models the population distribution of a random variable. what proportion of the values in the population does not lie between the two z-scores indicated on the diagram?
Answer:
The answer is B. 0.1131 because the molecule has been observed and the hill is upwards so there you have
(20x2 – 12x) + (25x– 15)
4x(5x – 3) + 5(5x – 3)
Answer:
4 5
Step-by-step explanation:
I got it right here.
The factored form of (20x² – 12x) + (25x– 15) is (4x+ 5)( 5x- 3).
What is Factorize?The process of breaking or decomposing an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication results in the original number, matrix, etc., is known as factorisation or factoring.
Given:
(20x² – 12x) + (25x– 15)
or, 4x(5x – 3) + 5(5x – 3)
or, (4x+ 5)( 5x- 3)
Hence, the factored form of (20x² – 12x) + (25x– 15) is (4x+ 5)( 5x- 3).
Learn more about factorize here:
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I honestly am so confused right now , pleas help
Answer:
never really liked accounting, but...
The Assets seem to total $33000
and the Liabilities also seem to add to $33000
that seems to be what is supposed to happen in an accounting problem
Step-by-step explanation:
You bought a shirt for 13.50 that was originally 45.00 in terms of percent what discount did you get the shirt?
Complete the solution of the equation. Find the
value of y when x equals -8.
4x + 9y = -14
does anyone know what this is?
Answer:
Y is equal to 2
Step-by-step explanation:
X equals -8
So,
4(-8) + 9y = -14
-32 + 9y = -14
-32 + 32 + 9y = -14 + 32
9y = 18
1/9 × 9y = 18 × 1/9
y = 2
Select the correct answer.
What are the roots of this equation?
Answer:
Hope this helps!
Step-by-step explanation:
