Aviv thinks of two numbers between 6 and 50. The highest common factor of his two numbers is 5. The lowest common multiple of his two numbers is 60. Write down the two numbers that aviv is thinking of.

Answers

Answer 1

Answer:

15 and 20.

Step-by-step explanation:

The 2 numbers are both divisible by 5.

Listing numbers whose LCM is 60 and divisible by 5.

20 and 30 :- not this as the HCF is 10.

15 and 20 : - HCF = 5 and LCM = 60.

Answer 2

Aviv is thinking of the numbers 60 and 5.

How to determine the two numbers that aviv is thinking of.

Let's consider the factors of 5 and the prime factorization of 60 to find the two numbers Aviv is thinking of.

The prime factorization of 60 is \(2^2 \times 3 \times 5\).

Since the lowest common multiple of two numbers is the product of their highest powers of prime factors, and we know the lowest common multiple is 60, this suggests that one of the numbers includes \(2^2\), \(3\), and \(5\) as prime factors.

However, we also know that the highest common factor of the two numbers is 5. This means that the second number must include \(5\) as a prime factor.

Putting these pieces together, the two numbers that Aviv is thinking of are \(2^2 \times 3 \times 5 = 60\) and \(5\).

So, Aviv is thinking of the numbers 60 and 5.

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Related Questions

identify the errors made in finding the inverse of y = x2 + 12x. An image shows a student's work. Line 1 is x = y squared + 12 x. Line 2 is y squared = x minus 12 x. Line 3 is y squared = negative 11 x. Line 4 is y = Start Root negative 11x End Root, for x greater-than-or-equal 0.

Answers

Answer:  Line 1 should be  x = y² + 12y  NOT (x = y² + 12 x)

Step-by-step explanation:

solving for the inverse of y = x² + 12x

Line 1:    x = y² + 12 x.      

Line 2    y² = x - 12 x.  

Line 3 is y²= - 11 x.

Line 4 is y = √(- 11x)  for x ≥ 0.

The error lies in Line 1. All x's have to be switched with y's and vice versa for the method to work.

As such Line 1 should be  x = y² + 12y  NOT (x = y² + 12 x)

Since Line one is wrong, it messes with all the other lines.

Need help asap pls pls pls

Answers

Answer:

I would say the answer is A) y = x + 3

Step-by-step explanation:

Reason is, if you replace x with the different numbers listed under x and add 3 to them, they would equal the corresponding numbers listed under y.

For example:

x-value

(5) = (2) + 3

y-value

Hope this helps :)

A. Y=x+3 is the correct answer

What is the slope passing through the points (11,-5) and (1,20)

Answers

Answer:

-2.5 or -5/2

Step-by-step explanation:

To find the slope we need to find the change in y and divide it by the change in x:

m = change in y ÷ change in x

m = (-5 - 20) ÷ (11 - 1)

m = 25 ÷ -10

m = -2.5 or -5/2

Hope this helps!

PLEASEEE HELP ME WITH THIS QUESTION!!! I WILL MARK THE BEST ANSWER BRAINLIEST AND GIVE EXTRA POINTS!!

Answers

Answer:

Umm... I'd love to help but... you didnt post a question. Was that an accident?

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The absolute value measures the distance from zero on a number line. A negative number will have the sign change,

solve for x
a) 30
b)45
c) 60
d) 90

Answers

pi=180 degree
pi/6=180/6
=30

A truck can cover 126km in 12 hours.Find the distance
covered by the truck in 8 hours.

Answers

Answer:

[tex] |v| = \frac{d}{t} \\ |v| = \frac{126km}{12hr} = 10.5km. {hr}^{ - 1} \\ d = |v| \times t\\ d = 10.5km. {hr}^{ - 1} \times 8hr \\ \boxed{d = 84km}[/tex]

Solve the following equation for v in terms of all other variables involved.
2(v-h)/k=r

Answers

Answer:

[tex]v = \frac{rk}{2} + h[/tex]

Step-by-step explanation:

Given the equation, [tex]r = \frac{2(v - h)}{k}[/tex], in order to solve for v:

Start by multiplying both sides by k:

[tex](k)r = \frac{2(v - h)}{k} (k)[/tex]

rk = 2(v - h)

Divide both sides by 2:

[tex]\frac{rk}{2} = \frac{2(v-h)}{2}[/tex]

[tex]\frac{rk}{2} = v - h[/tex]

Add h to both sides to isolate v :

[tex]\frac{rk}{2} + h = v - h + h[/tex]

[tex]\frac{rk}{2} + h = v[/tex]

4.

Is the relationship shown by the data linear? If so, model the data with an equation.

A. The relationship is linear; y + 2= -5/4(x + 9).
B. The relationship is not linear.
C. The relationship is linear; y + 2= 4/5(x + 9).
D. The relationship is linear; y + 9= -4/5(x + 2).

Answers

Answer:

D. The relationship is linear; y + 9= -4/5(x + 2).

Step-by-step explanation:

yes its linear because the x values increase by a constant value 4 and the y values by a constant value -5.

one general form for a linear equation is

y - y1 = m(x - x1)      m = slope and (x1,y1) is a point on the line

from the data the slope iis  (-7-(-2)) /  (-5-(-9)  =  -5 / 4

so using the point (3, -17):-

y - (-17) = (-5/4) ( x - 3)

y + 17 = -5x/4 + 15/4

4y + 68 = -5x + 15

4y = -5x - 53  

thats the equation of the line


A paint store sells exterior
paint for $35.75 a gallon and paint rollers for $6.00 each. Write an equation in
standard form for the number of gallons x of paint and rollers y that a customer could buy with $190.

Answers

the equation would be 35.75x+6y=190

Which number is irrational?
Ο Α. π
Ο Β. 0.333...
Ο C. 0.7
Ο D. 0.277277277...

Answers

Answer:

A.π is the correct answer

Given g(x)=-x+3g(x)=−x+3, find g(1)

Answers

Answer:

g(1) = 2

Step-by-step explanation:

g(x)=−x+3

g(1)=

Let x = 1

g(1) = -1+3 = 2

Help ASAP!!! ILL GOVE BRAINLIEST IF YOU GET IT RIGHT!

Answers

Step-by-step explanation:

I am not sure but i think it is D or E (last 2 choices)

Sorry if wrong

Needing help thanks!

erica recorded the number of sales she made during each of the first 4 months when she began her new career erica plottedthe data on a coordinate grid and she noted that the data correlate to an exponential equation as shown (image attached)

What is the domain of the function shown in the graph?

Answers

The domain of the function from the graph.

{10, 20, 40, 80}.

Option B is the correct answer.

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The coordinates from the graph:

(1, 10), (2, 20), (3, 40), (4, 80)

The domain of the function from the graph.

= 10, 20, 40, 80


Thus,

From the graph, the domain of the function

{10, 20, 40, 80}.

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The manager of a bank recorded the amount of time each customer spent waiting in line during peak business hours one Monday. The waiting times are shown below.
2
3
7
21
19
8
S
12
6
5
7
2
Find the mean waiting time. Round your answer to one decimal place.
8.0 min
7.2 min
7.5 min
6.8 min

Answers

The answer is 6.8 minutes

What is 15 percent of 120

Answers

Answer:

18

Step-by-step explanation:

Answer: 18

Step-by-step explanation:

15% is [tex]\frac{15}{100}[/tex] which is equal to 0.15

Multiply 0.15 times 120 and you will get the answer below:

0.15 × 120 = 18

how do i find the sum of (5/4q + 1) + (q - 4) + (-1/4q + 2)

Answers

Answer:

2q-1

Step-by-step explanation:

Add:

Look at only the q's inside the parenthesis and see if there are other q's in it, in this case there are none.

Now look outside the parenthesis and add the q's outside of it which is 5/4q, q and -1/4q

5/4q-1/4q is q

q+q is 2q

Now do the same thing with the numbers that doesn't have variables

1-4+2=-1

So the answer is 2q-1

Hope this helps!

Answer:

2q -1

Step-by-step explanation:

(5/4q + 1) + (q - 4) + (-1/4q + 2)

5/4q + 1 + q - 4 - 1/4q + 2

5/4q + q - 1/4q + 1 - 4 + 2

2q -1

Identify the figure that illustrates "a reflection in line k."

Answers

it’s seems to be the first one on the left!

The successor of -18

Answers

Answer:

-17

Step-by-step explanation:

−18 + 1 = −17

can someone please help me with this

Answers

Answer:

∠ R = 58° , ∠ Q = 32°

Step-by-step explanation:

Complementary angles sum to 90°

∠ Q is 26° less than ∠ R , so ∠ Q = ∠ R - 26° , then

∠ Q + ∠ R = 90° , that is

∠ R - 26° + ∠ R = 90°

2 ∠ R - 26° = 90° ( add 26° to both sides )

2 ∠ R = 116° ( divide both sides by 2 )

∠ R = 58°

∠ Q = 58° - 26° = 32°

Some people advise that in every cold weather, you should keep the gas tank of your car more than half full. Irene’s car had 5.8 gallons in the 13- gallon tank on the coldest day of the year. Irene filled the tank with gas that cost $3.70 per gallon. How much did Irene spend on gas?

Answers

Answer:

$27.72

Step-by-step explanation:

The information that we have its

The cost gas its ​$3.60 per gallon

Irene​'s car had 5.3 gallons

Irene's car tank is 13 gallons

so now for the know, How much did Irene spend on gas?

First

The gas that its necessary for filled de tank its

13gallons-5.3gallons=7.7 gallons

The cost for 7.7 its

7.7g*$3.60/g= $27.72

My friend needs help!

Answers

[tex] \frac{840}{1200} = 0.7 = \frac{7}{10} [/tex]

So, option (c) will be correct

Cheerio :)

guys pls help me!!!!!!

Answers

Answer:

X would also be 59° due to the Corresponding property.

Fatima conducted an experiment where she asked people to estimate the temperature of glasses of water. She recorded how far the estimates were from the actual temperatures, using positive values for guesses that were too high and negative values for guesses that were too low. Her results are in the table below.
Estimate -−minus actual temperature (\degree\text{C})(°C)left parenthesis, degree, start text, C, end text, right parenthesis
Person A Person B Person C
-3−3minus, 3 444 888
-1−1minus, 1 -4−4minus, 4 -2−2minus, 2
000 222 555
222 -3−3minus, 3 111
What is the mean value in Fatima's results?

Answers

The mean value is the sum of the temperature values divided by the total frequency. Hence, the mean value in Fatima's temperature result is -0.75°C

Given the data :

Person 1 :

-3, - 1, 0, 2,

Sum = (-3 + (-1) + 0 + 2) = - 2

Person 2 :

4, -4, 2, - 3

Sum = (4 + (-4) + 2 + (-3)) = - 1

Person 3 :

8, - 2, 5, 1

Sum = (8 + (-2) + 5 + 1) = 12

Mean value = (Total sum ÷ Frequency)

Mean value = [(-2 + (-1) + 12) ÷ 12]

Mean value = - 9 ÷ 12 = - 0.75

Therefore, the mean value of the result is 0.75°C

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The force (F) needed to cause the acceleration (a) of an object of mass, m, is given by the equation, F=ma where m is the object’s mass. If a 12-Newton force causes the object to accelerate to 3 m/s2, what is that object’s mass? The unit for this mass is kg.

Answers

Answer:

F=36

Step-by-step explanation:

F= 12 times 9 divided 3 = 36

The question requires calculating the objects mass in kilogram (kg)

The mass in kg of the objects is 4 kg

Given:

F = ma

Where,

F = Force (N)

M = mass (kg)

a = acceleration (m/s²)

If

F = 12-Newton

m = 3 m/s²

a = ?

F = ma

12 = m × 3

12 = 3m

divide both sides by 3

m = 12/3

m = 4 kg

Therefore, the mass in kg of the objects is 4 kg

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Simplify as far as possible.
√108 − 2 √300

Answers

Answer:

√108 − 2 √300

6v√3 − 20√3

A term may be written in index form to?
a) Make calculation easier
b) Represent large numbers
c) Show repeated multiplication
d) All the above​

Answers

Answer:

A.make calculation easier

please help me, thank you! :)

Answers

Answer:

x=-4

Step-by-step explanation:

2(x+6)=4

2x+12=4

2x=4-12

2x=-8

x=-4

Answer:

x = -4

Step-by-step explanation:

First distribute 2 among everything in the parentheses. So now you'll have 2x + 12 = 4

Next subtract 12 on both sides to get -8.

Lastly divide 2 on both sides to get x = -4

Hope this helps :)

Find the area of the metal sheet below that is required to make this square-shaped traffic sign. (note: square the binomial)

Answers

(7x-4)^2= 49x^2-56x+16
Hope this helps

simplify -3√3(2+√6)
please include steps

Answers

Answer:

-6√3 - 9√2

Step-by-step explanation:

So you distribute like normal:

-3√3 times 2 is -6√3

-3√3 times √6 is -3√18

You can simplify -3√18 into -9√2

(because 9 can be squared into 3 and you can multiply the 3 with the current 3 into 9)

(Also you have to divide 9 out of 18 since you are simplifying)

So the answer will be -6√3-9√2

Hope this helps!

Can someone tell me the answer to this please I got this wrong on my first attempt .-.

Answers

Answer:

B

Step-by-step explanation:

In similar triangles corresponding sides are in same ratio

[tex]\dfrac{CV}{CE}=\dfrac{CU}{CD}\\\\\\\dfrac{CV}{54}=\dfrac{14}{98}\\\\CV=\dfrac{14}{98}*84\\\\CV = \dfrac{1}{7}*84\\\\CV = 12[/tex]

Answer:

B) 12

Step-by-step explanation:

CD - 98

CE - 84

~

CU - 14

CV = 12

-

You set up a proportion: 98/84 = 14/x

x=12

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