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

6. Nathan buys packages of bacon. This chart shows the numbers of
packages and the total cost to ship.
Number of Packages Shipping Cost
()
1
$8
2
$16
3
$24
4
$32
Which statement is true?
A The data is proportional, and the unit rate is $8 per package.
B. The data is not proportional, and the unit rate is $8 per package.
C. The data is proportional, and the unit rate is 8 packages per dollar.
D. The data is not proportional, and the unit rate is 8 packages per
dollar.

Answers

Answer:

A  The data is proportional and the unit rate per package is $8   This is because y= 8x

Step-by-step explanation:

/y relationship is no of packages = 1                                                                          x/ = total cost to ship = 8    = 8/1  = 16/2 = 24/3 = 32/4 means they are all proportional to 8/1 = 8    y = 8x  see graph attached  

nnnnnnnbbbbbbbbbbbvvvgbhjnn,,

Answers

Nguvdtgbhfvjcrfugdjvfhcdg

Answer:

Hey!

Step-by-step explanation:

nnnnnnnbbbbbbbbbbbvvvgbhjnn,,

Please someone brilliant answer this!!!
Eighteen plumbers can install 540 water lines in six weeks. How long will it take twelve plumbers to install the same number of lines?

Answers

It will take twelve (12) plumbers 9 weeks to install the same number of lines

From the question,

We have that, 18 plumbers can install 540 water lines in 6 weeks,

To determine how long it will take 12 plumbers to install the same number of lines,

First, we will determine how long it will take 1 plumber.

If 18 plumbers can install 540 water lines in 6 weeks

Then,

1 plumber will install 540 water lines in 18 × 6 weeks

18 × 6 weeks = 108 weeks

∴ It will take 1 plumber 108 weeks to install 540 water lines

Now, for the number of weeks it will take 12 plumbers

If 1 plumber can install 540 water lines in 108 weeks

Then,

12 plumbers will install 540 water lines in [tex]\frac{108}{12}[/tex] weeks

[tex]\frac{108}{12} = 9 \ weeks[/tex]

Hence, it will take twelve (12) plumbers 9 weeks to install the same number of lines

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plss help me for with this math..​

Answers

Answer:

Step-by-step explanation:

3. x^2 +3x=54

x^2 +3x -54 = 0

(x-9)(x+6) = 0

x = 9 and x = -6

4. X^2 - 10x + 21 [(x - 7)(x - 3)

A carpenter is building shelving units for a garage a small shelf requires a total of eight boards to build while large one uses 13 boards he has up to 47 boards to use for this project Select the any quality in standard form that describes the situation use the given numbers in the following variables

Answers

Answer:

8x + 13y has to be less than or equal to 47.

Step-by-step explanation:

What is the value for x?
(6x4) B
Enter your answer in the box
rey-
С
X
PLEASE HELPPP

Answers

Answer:

OOOO Shoot im not in high school

Step-by-step explanation:

GIVING BRAINLIEST TO CORRECT ANSWER

Answers

Answer:

[tex]3 \sqrt{2} [/tex]

Answer:

B = 3

Step-by-step explanation:

([tex]\sqrt{3}[/tex])([tex]\sqrt{6}[/tex]) = [tex]\sqrt{18}[/tex]

[tex]\sqrt{18}[/tex] = 3[tex]\sqrt{2}[/tex]

Genie is making cookies and brownies. Each cookie uses 8 grams of flour and each brownie uses 12 grams of flour. She wants to make more than 125 cookies and brownies altogether. If Genie has a total of 2,000 grams of flour, which system of inequalities models correctly the number of cookies, c, and brownies, b, she can make? ) C+b> 125 A) 8c + 12b s 2000 c+b2 125 8c + 12b s 2000 B) c+b< 125 C) 8c + 12b s 2000 c+bs 125 D) 8c + 12b s 2000

Answers

The system of inequalities models correctly the number of cookies is c + b ≥ 125 and 8c + 12b ≤ 2000

Let c represent the number of cookies and let b represent the number of brownies.

Since Genie want to make more than 125 cookies and brownies altogether, hence this is given by:

c + b ≥ 125   (1)

Also, Genie has a total of 2,000 grams of flour, hence:

8c + 12b ≤ 2000  (2)

Therefore the system of inequalities models correctly the number of cookies is c + b ≥ 125 and 8c + 12b ≤ 2000

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4y²=49 solve the equation​

Answers

Answer:

y = [tex]\frac{7}{2}[/tex] & y= - [tex]\frac{7}{2}[/tex]

Step-by-step explanation:

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact form:

[tex]y = \frac{7}{2} , -\frac{7}{2}[/tex]

Decimal form:

[tex]y = 3.5,-3.5[/tex]

Mixed number form:

[tex]y = 3\frac{1}{2} , -3\frac{1}{2}[/tex]

2(x + 4) < 4x - 6 smallest integer

Answers

Answer:

The smallest integer is 8

Step-by-step explanation:

2( x + 4 ) < 4x - 6

4x - 6 > 2x + 8

2x > 14

x > 7

The smallest integer is 8

Mr. Evans prepared 5 rows for 6 tomato plants in each
row and 5 rows for 2 pepper plants in each row. How
nany plants did he prepare for altogether?

Answers

Answer:

he prepared for 18 plants altogether

The answer to this question is 40

2 +2 - 6 + 8 and then 2

Answers

Step-by-step explanation:

2+2 = 4 - 6= -2+8=6+2=8

Answer: 8

Answer:

48

Step-by-step explanation:

First add 2 + 2 = 4

Next subtract 4 - negative 6 = -2

Then add -2 + 8 = 6

Last multiply 6 * 8 = 48

Find the arc length of the subtending arc for an angle of (3pi)/8 on a circle of radius 4.

Answers

Answer:

3pi/2

Step-by-step explanation:

(4) 3pi/8 =3pi/2

the restraunt bill is $56.39 what is a tip for 20% of bill

Answers

$11.28 so in total it would be $67.67

please help will give brainliest
and please do not scam

Answers

Answer:

Answer: 8PM and 8AM

Step-by-step explanation:

2 |x-2| -12 = 0

2 |x-2| = 12

|x-2| = 6

x-2 = 6

x= 8

12 noon + 8 Hrs

= 8PM

x-2 = -6

x = -4

12 noon - 4 hrs

= 8AM

Find the equation of the line that goes
through the points:
(-1,4) and (-8,11)

Answers

See the picture above for the solution.

Write the following algebraic expression for this sentence:
"The product of eight and a number squared decreased by 5."

Answers

Answer:

8n² - 5

Step-by-step explanation:

n = 'a number'

The expression is  8x² - 5.

what is expression?

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Let's examine the writing of expressions. The other number is x, and a number is 6 greater than half of it. In a mathematical expression, this proposition is denoted by the expression x/2 + 6.

Given:

The product of eight and a number squared decreased by 5

let the number be x.

product of eight and a number squared

= 8x²

and decreased by 5

= 8x² - 5

hence, the expression is  8x² - 5.

Learn more about expression here:

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1. What is 3/4 divided by 1/6

Answers

Answer:

9/2 or 4 1/2

Step-by-step explanation:

3/4 ÷ 1/6 = 3/4 × 63/4 × 6 = 18/418/4 = 9/29/2 = 4 1/2

Therefore, the answer is 9/2 or 4 1/2.

Answer: 3

Step-by-step explanation:

3/4 ÷ 1/6

3/4 × 6/1

Divide 4 and 6 by 2

3/2 × 3/1

3 × 3 / 2 × 1

6 / 2 = 3

8. Oscar purchased two hamburgers for 55.75 X each and two milkshakes for $5,40 each including sales tax. After paying, he received $0.70 back. How much money did Oscar give the sales clerk?
A. $12.85
B. $25.00
C. $23.60
D. $11.45​

Answers

Answer:

I may not be right but I think its C. or D.

Step-by-step explanation:

Sorry i Don't have a good explanation

i need all of the answers THANK UU​

Answers

1. C because 3×3=9

9×3=27

27×3=81.....

2. Answer is C explaination in picture number 2

3. D explaination in picture number 1

what is the value of x in the equation -2/9x = 2/5?

a. -1 4/5
b. -5/9
c. 5/9
d. 1 4/5​

Answers

Is the letter B, I hope I help you.

HELPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer: -15

Step-by-step explanation: in the picture

Step-by-step explanation:

Basically,

expand the brackets; multiply everything in the bracket by -3,

-3(x+5)=-3x+-15

= -3x-15

There ya go, hope this helps...

Below is the table of values of a function. Write the output when the input is n.
input
3
5
6
n
output
6
10
12
_

Answers

Answer:

2n

Step-by-step explanation:

the output will be 2n

please brainliest

1/3x7 ...............

Answers

Answer:

7

Step-by-step explanation:

what does x equel if there are 9 people 2 run away and the remaining number is x

Answers

Answer:

x=7 people

Step-by-step explanation:

x=9-2

I need help plisss giving brainliest

Answers

Answer:

1) [tex]y=\frac{3}{2}x+8[/tex]

2)[tex]y=\frac{13}{11}x +\frac{12}{11}[/tex]

3)[tex]y=\frac{9}{7}x+1[/tex]

4)[tex]y=\frac{1}{3}x-2[/tex]

5)[tex]y=-\frac{6}{5}x-3[/tex]

6)[tex]y=4x-1[/tex]

7)[tex]y=\frac{11}{4}x-8[/tex]

8)[tex]y=\frac{11}{8}x+6[/tex]

Answer:

[tex]\sf 1) 3x-2y=-16[/tex]

subtract both sides by 3x:

[tex]\sf -2y=-16-3x[/tex]

[tex]\sf \cfrac{-2y}{-2} =\cfrac{3x-16}{-2}[/tex]

[tex]\boxed {\sf y=\frac{3}{2}x +8}[/tex]

________________

[tex]\sf 2) 13x-11y=-12[/tex]

Subtract 13x from both sides:

[tex]\sf 13x+11y-13x=-12-13x[/tex]

[tex]\sf \cfrac{-11y}{-11} =\cfrac{-12-13x}{-11-11}[/tex]

[tex]\boxed {\sf y=\cfrac{13}{11} \:x+\cfrac{12}{11} }[/tex]

___________________

[tex]\sf 3) 9x-7y=-7[/tex]

Subtract 9x from both sides:

[tex]\sf \cfrac{-7y}{-7} =\cfrac{9x-7}{-7}[/tex]

[tex]\boxed {\sf y=\cfrac{9}{7} \:x+1}[/tex]

___________________

[tex]\sf 4)x-3y=6[/tex]

Add 3y from both sides:

[tex]\sf x-3y+3y=6+3y[/tex]

[tex]\sf x=6+3y[/tex]

Subtract 6 from both sides:

[tex]\sf x-6=3y[/tex]

Divide both sides by 3:

[tex]\sf \cfrac{x}{3}-\cfrac{6}{3} =\cfrac{3y}{3}[/tex]

[tex]\sf \cfrac{1}{3} \:x-2=y[/tex]

[tex]\boxed {\sf y=\cfrac{1}{3} \:x-2}[/tex]

____________________

[tex]\sf 5) 6x+5y=-15[/tex]

Subtract 6x from both sides:

[tex]\sf \cfrac{5y}{5}=\cfrac{-6x-15}{5}[/tex]

[tex]\boxed {\sf y=-\cfrac{6}{5} \:x-3 }[/tex]

_____________________

[tex]\sf 6) 4x-y=1[/tex]

Subtract 4x from both sides:

[tex]\sf \cfrac{-y}{-1} =\cfrac{-4x+1}{-1}[/tex]

[tex]\boxed {\sf y=4x-1}[/tex]

_______________________

[tex]\sf 7)11x-4y=32[/tex]

Subtract 11x from both sides:

[tex]\sf \cfrac{-4y}{4} =\cfrac{-11x+32}{-4}[/tex]

[tex]\boxed {\sf y=\frac{11}{4} \:x-8}[/tex]

_______________________

[tex]\sf 8) 11x-8y=-48[/tex]

Subtract 11x from both sides:

[tex]\sf \cfrac{-8y}{-8} =\cfrac{11-48}{-8}[/tex]

[tex]\boxed {\sf y=\frac{11}{8} \:x+6}[/tex]

________________________________

At 9 AM,one share of Starbucks stock was $26. By 2 PM the price was $29. The rate the Starbucks stock value was changing is ___ per hour.

Answers

Answer:

60 cents per hour

Step-by-step explanation:

final price minus starting price is 3 divide by 5 hours to get .60

free question
A certain shade of pink is created by adding 3 cups of red paint to 7 cups of white paint.
How many cups of red paint should be added to 1 cup of white paint?

Answers

Answer:

3/4 I think its that

Step-by-step explanation:

its a guess

What is the circumference of this circle?



A.
4
1


B.
20
1


C.
2
1


D.
None of the above
E.

Answers

Answer:

It is 2 π r

Step-by-step explanation:

Hope this helps you!!!1

PLEASE HELP ME AND FAST! ANSWER WITH EXPLANATION PLS, ANSWER RIGHT PLS PLS PLS!
Last year, Deandre had $10,000 to invest. He invested some of it in an account that paid 7% simple interest per year, and he invested the rest in an account that paid 10% simple interest per year. After one year, he received a total of $790 in interest. How much did he invest in each account?
First Account: $?
Second Account: $?

Answers

He had $10,000 in the first account & $900 in the second account.
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