a) 2 numbers have a HCF (highest common factor) of 18 and LCM (lowest common multiple) of 360. What could the 2 numbers be?

b) Emily thinks of 2 numbers. The HCF of the two numbers is 1. The LCM of the 2 numbers is a multiple of 40. Write down 2 possible numbers that Emily could be thinking of.

c) Niamh thinks of 2 numbers. The HCF of the two numbers is 8. The LCM of the two numbers is a multiple of 5. Write down 2 possible numbers that she could be thinking of.

Please help, and include an explanation as I would like to understand it!

Answers

Answer 1

The true statements about the numbers are:

The two numbers could  be 180 and 36The two numbers could  be 10 and 4The two numbers could  be 8 and 5

How to determine the two numbers each individual thinks?

As a general rule, the product of any two numbers equals the product of the LCM and HCF of the numbers

Say, the two numbers are x and y;

Then, we have

x * y = LCM * HCF

Using the above as a guide, we have

Two numbers

x * y = 18 * 360

Express 360 as 10 * 36

x * y = 18 * 10 * 36

So, we have

x * y = 180 * 36

This means that

x = 180

y = 36

Hence, the two numbers could  be 180 and 36

Emily's numbers

x * y = 1 * 40

Express 40 as 10 * 4

x * y = 1 * 10 * 4

So, we have

x * y = 10 * 4

This means that

x = 10

y = 4

Hence, the two numbers could  be 10 and 4

Niamh's numbers

x * y = 8 * 5

Express 8 as 4 * 2

x * y = 4 * 2 * 5

So, we have

x * y = 8 * 5

This means that

x = 8

y = 5

Hence, the two numbers could  be 8 and 5

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Related Questions

7th grade what is the tone, or mood in the beginning of the play? "A christmas carol"

A- Violent and frighting
B- Dark and gloomy
C- Silly and sentimental
D- Loving and festive ​

Answers

Answer:

C

Step-by-step explanation:

C

C is thy answer I just took the quiz

pls help me on this​

Answers

Answer:

0.3(25)

Step-by-step explanation:

Of = multiply30% = 0.330% of 25 = 0.3(25)

I hope this helps!

PLEASE ANSWER IMMEDIATELY

Simplify the expression -416 - -613 Explain your solution using the additive inverse property.

Answers

Answer: 203

Step-by-step explanation:

-416 + 613

203

Can someone tell me how to solve this? Thank you

Answers

Answer:

  domain: all real numbers except x=3 and x=5.

Step-by-step explanation:

You want the domain of a composition of rational functions f(x)=1/(x-2) and g(x)=4/(x-3).

Domain

The domain of a function is the set of values of the independent variable for which the function is defined.

To compute f(g(x)), you must first compute g(x). When x=3, the denominator of the function 4/(x-3) is zero, so the value is undefined. The domain must exclude x=3.

The composition is found by substituting g(x) for x in the definition of f(x).

  [tex]f(g(x)) = f(\dfrac{4}{x-3}) =\dfrac{1}{\dfrac{4}{x-3}-2}=\dfrac{x-3}{4-2(x-3)}\\\\f(g(x))=\dfrac{x-3}{4-2x+6}=\dfrac{x-3}{2(5-x)}[/tex]

We have written the composition in this form so you can see there is a denominator factor that will be zero when x=5. The domain of f(g(x)) must also exclude x=5.

The domain of f(g(x)) is all real numbers except x=3 and x=5.

Which line is an asymptote of the function f(x)= -6e^4(x-1) - 2 ?

A. y = 1
B. y = -2
C. y = -6
D. y = 1​

Answers

Answer:

i am positive it is B

Step-by-step explanation:

it is definitely b for sure

the unit rate of 2/1 equivalent to the ratio 4/6: 9/12. True or false?

Answers

Answer:

I think true.

Step-by-step explanation:

Plz, answer. Will mark brainiest. Please! 50 points!!!

Answers

Answer:

12%

(12ish at least, I don't know if this problem requires the exact decimal.)

Answer:

12%

Step-by-step explanation:

:)

What is the value of x in x = inverse of sin(-1/2)?

Answers

Answer:

B. -pi/6

Step-by-step explanation:

Use the information to answer the question.
Consider the triangle.
16x + 5
4x + 2
8x + 1
Part A
Which expression represents the perimeter of the triangle?

Answers

Answer:

13x^8 + 4x^5 - 16x^2 try this

Step-by-step explanation:

Find the instantaneous rate of change of the function
f(x)=2x^3−3x at the point (2,10)

A. -3

B. 5

C. 9

D. 21

E. 33

Answers

We can find the instantaneous rate of change at [tex]x=2[/tex] by evaluating the limit

[tex]\displaystyle \lim_{x\to2} \frac{f(x) - f(2)}{x - 2}[/tex]

(i.e. the definition of the derivative)

Since

[tex]f(x) = 2x^3 - 3x \implies f(2) = 10[/tex]

we have

[tex]\displaystyle \lim_{x\to2} \frac{f(x) - f(2)}{x - 2} = \lim_{x\to3} \frac{2x^3 - 3x - 10}{x - 2}[/tex]

Note that [tex]2x^3-3x-10=0[/tex] when [tex]x=2[/tex], which means [tex]x-2[/tex] divides the numerator exactly. By polynomial division, we can show

[tex]\dfrac{2x^3 - 3x - 10}{x - 2} = 2x^2 + 4x + 5[/tex]

Then in the limit, we can write

[tex]\displaystyle \lim_{x\to2} \frac{f(x) - f(2)}{x - 2} = \lim_{x\to2} \frac{(x-2) (2x^2 + 4x + 5)}{x - 2}[/tex]

As [tex]x\neq2[/tex], we can cancel the factors of [tex]x-2[/tex].

[tex]\displaystyle \lim_{x\to2} \frac{f(x) - f(2)}{x - 2} = \lim_{x\to2} (2x^2 + 4x + 5)[/tex]

The function in the remaining limit is continuous at [tex]x=2[/tex], so we can directly substitute [tex]x=2[/tex] to get its value,

[tex]\displaystyle \lim_{x\to2} \frac{f(x) - f(2)}{x - 2} = 2\cdot2^2 + 4\cdot2 + 5 = \boxed{21}[/tex]

(D)

Ricky Bobby currently has $500 in his savings account, and figures that he will add $25 per week from his
job. He realizes that he can use the equation
S=25w+500 where S is the amount in savings and w= number of weeks from now.
a. How much will he have saved in 15 weeks
b. When will Ricky Bobby have $1200?

Answers

Ricky Bobby will have saved $875 in 15 weeks and he will have $1200 in 28 weeks.

Firstly solving first part of the question. Here, we need to calculate the savings in 15 weeks. To perform this calculation, we will keep the number of weeks in place of variable w.

Savings = 25×15 + 500

Performing multiplication

Savings = 375 + 500

Performing addition

Savings = $875

Now, solving the second part, which is finding the number of weeks. We will keep the savings amount at place of variable S.

1200 = 25w + 500

25w = 1200 - 500

Performing subtraction

25w = 700

w = 700 ÷ 25

Performing division

w = 28

Therefore, Ricky Bobby will have saved $875 in 15 weeks and he will have $1200 in 28 weeks.

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From 10 am to 4 pm the temperature changed -36 degrees. If the temperature changed equally for the last 6 hours, How much did it change each hour?

Answers

Answer:

-6 degrees per hour

Step-by-step explanation:

divide -36 by 6(the number of hours) and get -6

Answer:

6 degrees

Step-by-step explanation:

it changed 6 degrees every hour

Which best describes the dimensions of a line?

A line has zero dimensions because it represents a location on the coordinate plane.
A line has one dimension because it is made up of all points that extend infinitely in either direction.
A line has two dimensions because it is made up of three noncollinear points.
A line has multiple dimensions depending on how many labeled points it contains.

Answers

Answer:

A line has one dimension because it is made up of all points that extend infinitely in either direction.

Step-by-step explanation:

The correct statement which describes the dimensions of a line is,

''A line has one dimension because it is made up of all points that extend infinitely in either direction.''

What is Line segment?

Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.

We have to given that;

To find the dimensions of a line.

We know that;

A line has one dimension because it is made up of all points that extend infinitely in either direction.

Thus, The correct statement which describes the dimensions of a line is,

''A line has one dimension because it is made up of all points that extend infinitely in either direction.''

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help me please! is compound interest​

Answers

Answer:

7,200

Step-by-step explanation:

12x + 16 = 100
100
(Equation)
Solve it and show your work!
15
Simon & Iris earned money
by selling candy. They
earned $12 by recycling.
They split the total and
each got $100. How much
did they earn selling
candy?
Speaker notes

Answers

Answer:

1. x = 7

Step-by-step explanation:

12x + 16 = 100

12x = 84

x = 7

Answer:

1. x = 7

2. Simon and Iris earned $212 selling candy.

Step-by-step explanation:

1. 12(7) + 16 = 100

  84 + 16 = 100

  100 = 100

  Therefore, x = 7.

2. If they split the price by 2, then we need to multiply $100 by 2.

100 x 2 = $200

   $200 + $12 = $212

 Therefore, Simon and Iris earned $212 selling candy.

HELP ONE HOUR LEFT One of the most common uses of exponents is when dealing with scientific notation. Recall that 3.2×10¹
is written in scientific notation where 10 is being raised to the 4th power. If 3.2x10' is the length of a park
in meters and 2.5×106 is the width in meters, what is the area of the park if it is in the shape of a rectangle?
It may help to write the terms out as an extended product and then regroup them.
Area = Length x Width = (3.2×10¹) (2.5×10) =

Answers

Using scientific notation, the area of the park, in m², is given by:

[tex]A = 8 \times 10^{10}[/tex]

What is scientific notation?

A number in scientific notation is given by:

[tex]a \times 10^b[/tex]

With the base being [tex]a \in [1, 10)[/tex].

When two numbers in scientific notation are multiplied, we have that:

The bases are multiplied.The base 10 is kept, while the exponents are added.

Hence the area of the park is given by:

[tex]A = 3.2 \times 2.5 \times 10^{4 + 6} = 8 \times 10^{10}[/tex]

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Mrs.jones waters the plants on her porch every 5 days. She waters the vegetable garden every 2 days. If she waters them both today, how many days will pass before she will water both of them on the same day again?

Answers

the answer is 10. if you take the lcm of 5 and 2 you should get it.

help now i will mark brainly

Answers

Answer:

6. 928 R 3

7. 4/6

8. 2/8

Step-by-step explanation:

Part E
Open the parallel lines rotation application .The right set of parallel lines is a 90° rotation counterclockwise of the left set of
parallel lines. Click the 90° counterclockwise button. Are the two sets of parallel lines the same? What does this mean about
how parallel lines change when you rotate them?

Answers

Two sets of parallel lines continue to stay equidistant to each other in each set of parallel lines, this same parallel line at an angle to the Y-axis will not intersect the parallel line at an angle to the x-axis if they are extended infinitely.

What is Angle Translation?A translation is a type of transformation that involves sliding each point in a figure the same distance in the same direction. In geometry, translating something simply means moving it around. We do not alter it in any way. When we translate a segment, it remains a segment and its length remains constant. Similarly, when we translate an angle, the angle's measure remains constant.

According to the given diagram:

Although the two sets of parallel lines in each set remain equidistant to each other, the parallel line at an angle to the Y-axis will not intersect the parallel line at an angle to the x-axis if they are extended infinitely.

Therefore, two sets of parallel lines continue to stay equidistant to each other in each set of parallel lines, this same parallel line at an angle to the Y-axis will not intersect the parallel line at an angle to the x-axis if they are extended infinitely.

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PLZ HELP ME BRAINLIEST IF CORRECT AND HEART AND 5 STAR RATE

Answers

Answer:

15

Step-by-step explanation:

EVERY 5 SECONDS THE BIRD GETS 75 MILES FASTER AND TRAVELS THE SAME. BRAINLIEST????

Don’t worry about number 4 just tell me the answer to number two

Answers

Answer:

B

Step-by-step explanation:

First, you must combine like terms.

5a - a - a would be 3a.

-6 + 4 would be -2.

3a-2

Answer:

The answer would be B. -a+4+5a-a-6.

You would need to put like terms together. 4 and -6 is -2. -a, 5a, and -a is 3a.

If the area of the triangle with vertices (5,2),(x,4) and (0,3) is 25/2, find x?

Answers

x=7

Pretty Simple..                                                                          h                                                        h                h                                                                                      

The value of the variable 'x' will be 20. Then the third vertice of the triangle is (20, 4).

What is the area of the triangle?

The vertices of the triangle are (x₁, y₁), (x₂, y₂), and (x₃, y₃).

Then the area of the triangle will be

Area = 1/2 |[(x₁y₂ + x₂y₃ + x₃y₁) - (y₁x₂ + y₂x₃ + y₃x₁)]|

The vertices of the triangle are given as,

(x₁, y₁) ⇒ (5, 2)

(x₂, y₂) ⇒ (x, 4)

(x₃, y₃) ⇒ (0, 3)

Then the area will be

Area = 1/2[{5 × 4 + x × 3 + 0 × 2} – {2 × x + 4 × 0 + 3 × 5}]

25/2 = 1/2 [20 + 3x – 2x – 15]

25 = [x + 5]

x = 25 – 5

x = 20

The value of the variable 'x' will be 20. Then the third vertice of the triangle is (20, 4).

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The health benefits Daisy receives from his employer covers 45% of the total montly premium of $350.00. How much does Daisy have to pay each month?

Answers

Answer:

$192.5

Step-by-step explanation:

1. turn 45% into .45

2. multiply .45 x 350

3. get 157.5 and then subtract 350-157.5

4. answer is 192.5

which of the following is a linear function​

Answers

Answer:

The 1st one?

Step-by-step explanation:

Sorry if I'm wrong

The total weight of 50 identical marbles

Answers

Answer:

Is there more parts of the answer?

Answer:

50 * mass per marble

Step-by-step explanation:

Total weight is weight per marble mutiplied by amount of marbles (N*m = M)

2 What is the solution set of
|4x - 1|= 3?

Answers

Answer:

Exact Form:

x = 1 , − 1/ 2

Decimal Form:

x = 1 , − 0.5

Step-by-step explanation:

QUICK MATH

WILL GIVE BRAINLIEST

The difference of two numbers is 2. Their sum is 10. Find the numbers.

Answers

Answer:

6 and 4

Step-by-step explanation:

6 + 4 = 10

6 - 4 = 2

Hope this helped you :)

6 and 4

6-4 = 2

6+4 = 10

They tell you the sum is 10, so think of #'s that make 10:

1,9

2,8

3,7

4,6

5,5

Now, which ones make 2 when subtracted

9-1 = 8

8-2 = 6

7-3 = 4

6-4 = 2

5-5 = 0

Therefore, the answers are 6 and 4

How can you use Triangle Congruence to solve real-world problems?

Answers

Answer:

Many pairs of triangles designed into a building, for example as roof ends, would be congruent, so the roof beam and the top edges of the walls are horizontal.

Need answer asap ...........

Answers

Answer:

25

25

Step-by-step explanation:

3^3 + 10 - 2 * 6

27 + 10 - 12

25

c

10^2 / 2^2

100 / 4

25

Answer:

B.)25

C.) 25

Step-by-step explanation:

B.) 3^3=27

27+10=37

37- 12= 25

_________________________________________

C.) 10^2= 100

100/ 2^2= 25

Brainliest? I am trying to earn a new rank so I can help more people and I would totally appreciate it if you did! Merry Christmas!

What is the quotient of 6 -1/2​

Answers

Answer:

-3

Step-by-step explanation:

because quotient means division,

so you divide 6 by -1/2

-1/2 is equal to -0.5

6/-0.5= -3

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