Mathematics High School

Jack chooses two numbers between 50 and 150

The two numbers have a Lowest Common Multiple (LCM) of 420

They have a Highest Common Factor (HCF) of 28

Work out what the two numbers are.​

Answers

Answer 1

Answer:

84 and 140

Step-by-step explanation:

Jack chooses two numbers between 50 and 150

The two numbers have a Lowest Common Multiple (LCM) of 420

Factors of 420 between 50 to 150

= 60, 70, 84, 105, 140

We are also told that:

They have a Highest Common Factor (HCF) of 28

Hence, we find out of the factors above, which numbers can be divided by 28 without having any remainder.

60/28 = 2.1428571429

70/28 = 2.5

84/28 = 3

105/28 = 3.75

140/28 = 5

Therefore, the two numbers are

84 and 140

Related Questions



Mr. Kowolski ordered 35 boxes of granola bars. Eoch box contained 24 granola bors.
What is the total number of granola bars Mr. Kowolski ordered?

Answers

Answer:

The total amount of granola bars ordered were 840 granola bars.

Step-by-step explanation:

Multiply 35 by 24.

If Mr. Kowolski ordered 35 boxes of granola bars and Eoch box contained 24 granola bors then 840 is the total number of granola bars Mr. Kowolski ordered.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that Mr. Kowolski ordered 35 boxes of granola bars.

Each box contained 24 granola bors.

We need to find the total number of granola bars Mr. Kowolski ordered.

To find this we have to multiply thirty five with twenty four.

Multiplication is a method of finding the product of two or more numbers

35×24

We get eight hundred forty

840

Hence, 840 is the  total number of granola bars Mr. Kowolski ordered.

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Y=2/3x-1
2x-3y=31
HELPPP

Answers

power of wozkzserjfj

Answer:

No answer

Step-by-step explanation:

The two equations are : Y = 2/3x-1 and Y = 2/3x -31. There is no answer.

3x + 25 = 2(4x – 10) solve step by step

Answers

Answer:

x=9

Step-by-step explanation:

3x + 25 = 2(4x – 10)

3x + 25 = 8x-20

3x-8x=-20-25

-5x=-45

5x=45

x=9

The answer is: X=9 first step is to distribute 2 into 4x and -10 then move the 8x over behind the 3x, then combine 8x and 3x together to get -5x=-20-25 combine -20 and -25 to get -45 then divide -45 by -5 to get x=9

Solve the inequality 13 > 3x + 1

Answers

4 > x

step by step explanation:

13 > 3x + 1
-1 -1
12 > 3x
/3 /3
4 > x

I hope it helps you ❤️❤️❤️

shen buys candy that costs $4 per pound he will spend at least $20 on candy what are the possible numbers of pounds he will buy

Answers

5 pounds because 4 x 5 = 20

1. Solve for the value of x

Answers

Answer:

x = 18

Explanation:

Line E B C Needs To Equal 180°Create An Equation

3x + 5 + 3x + 4 + 3x + 9 = 180

Simplify Both Sides Of The Equation

(3x + 3x + 3x) + (5 + 4 + 9) = 180( Combine Like Terms)

9x + 18 = 180

9x + 18 = 180

Subtract 18 From Both Sides

9x + 18 − 18 = 180 − 18

9x = 162

Divide Both Sides By 9

9x / 9 = 162 / 9

x = 18

the solution to a system of equations is (6, -3) choose two equations that might make up the system.

Answers

Answer:

y=x-9

y=2x-15

Step-by-step explanation:

To solve this we can just pick a random number for our slope and solve for the y intercept

For example lets say the slope is 1

we know that wehn x=6 y= -3 so we have the following equation

-3= 6+b

B is -9

which means one equation is

y=x-9

We can just repeat this same process

Let's say the slope is 2

-3 = 2*6+b

-3= 12

b= -15

which means taht

y=2x-15

What is the solution to this equation?
x - 15 = 8
O A. x= -7
O B. x = 7
O c. x= -23
O D. x = 23

Answers

Answer:

D

Step-by-step explanation:

I need help with this plzz

Answers

Answer:

5/2

Step-by-step explanation:

here you go! hope this helps

1.45833333333 as a fraction

Answers

Answer:

¹⁴⁵⁸³³³³³³³³⁄₁₀₀₀₀₀₀₀₀₀₀₀

Step-by-step explanation:

lol

What is the radical form of the expression? 2 4/5 Enter your answer in the box.

Answers

Answer:

Step-by-step explanation:

please help me with this question!

Answers

Answer:

It is perpendicular

Step-by-step explanation:

The Perpendicular is the answers correctly because I think

Solve by completing the square.
x2 + 6x – 22 = 0

Answers

It’s m= 16 that the answer go go

Michael writes down 4 different factors of 60
He adds the 4 factors together.
He gets a number greater than 20 but less than 35
What 4 factors could Michael have written down?
Input note: write them from smallest to biggest, separated with commas, i.e. 1, 2, 3, 4​

Answers

Answer:

34+(-12) =22

Step-by-step explanation:

because they said that adding numbers but they didn't said that negative Or positive. so i took those numbers

divide £720 in the ratio 5 : 7

Answers

5+7=12

£720÷12= 60

5:7

5×60=300

7×60=420

300:420

I need help :,) but I really don’t even know-

Answers

Answer:

8 yards. Trust me. I love mental math.

Step-by-step explanation:

Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.
32,8,2,...

Answers

It’s arithmetic and the common difference is 4

HELP ASAP WHICH OF TJE FOLLOWING IS THE SOLUTION OF THE EQUATION??( I picked a random answer)

Answers

Answer:

A

Step-by-step explanation:

The model is shaded to represent the amount, in liters, of lemonade in a pitcher. If Sarah drinks 0.4 liter of the lemonade, how much will be left?

Answers

Answer:

0.6

Step-by-step explanation:

What are the outputs of the function below?

x
–1
0
7
10
g(x)
6
2
–3
4
–1, 0, –3, 4
–1, 0, 7, 10
6, 2, –3, 4
6, 2, 7, 10

Answers

Answer:

C

Step-by-step explanation:

just took the quiz

A function assigns the value of each element of one set to the other specific element of another set. The output of the function is 6, 2, –3, 4.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The output of the given function in the value of the dependent variable, in the given case, x is the independent variable and upon this independent variable the value of the function will be dependent, therefore, the function will be the output of the function.

Thus, the values in the table that are under g(x) are the range or the output of the function.

Hence, the output of the function is 6, 2, –3, 4.

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Steve drove 270 miles, leaving home at 8:00 a.m. and arriving at his destination at 4:00 p.m. Of this time, he spent 45 minutes eating lunch and 1 hour 15 minutes visiting a museum. What was Steve’s average driving speed for this trip?

Answers

Answer:

Step-by-step explanation:

Driving time = 6 hours

(270 miles)/(6 hours) = 45 miles/hour

x2-36
10.) Reduce the ratio, x2 +4x-12
|
I

Answers

Step-by-step explanation:

Simplify 15 − 10 x 8 x 3 − 12 x 2 \dfrac{15- 10x}{8x^3-12x^2} 8x3−12x215−10xstart fraction, 15, minus, 10, x, divided by, 8,

Is this triangle equilateral? yes​

Answers

You never showed the triangle

There is no Triangle

Can somebody please help me

Answers

What’s the question what are you looking for

11) -104 = 8x
12) 14b=-56
13) -6 = b/18
14) 10n = 40

Answers

Answer:

11) -104÷8=x

-13=x

x=-13

12) b=-56÷14

b=-4

13) -6×18=b

b=-108

14) n=40÷10

n=4

62.5% as a decimal and as a fraction. PLEASE SHOW WORK.

Answers

Answer:

62.5 as a decimal would be 0.625

As a fraction it would be 625/1000.

Step-by-step explanation:

To write 0.625 as a fraction you have to write 0.625 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

0.625 = 0.625/1 = 6.25/10 = 62.5/100 = 625/1000  

And finally we have:

0.625 as a fraction equals 625/1000

Answer:

decimal

⇒[tex]\frac{62.5}{100}[/tex]

⇒62.5÷100

⇒62.5

fraction

⇒[tex]\frac{62.5}{100}[/tex]

Step-by-step explanation:

HELP PLEASE-
I would really appreciate it

Answers

Answer:

61.25

Step-by-step explanation:

7x 3.5 x 1/2= triangle

12.25 x 4 =49

3.5 x 3.5 = 12.25

12.25+49 = 61.25

Solve the system of linear equations by elimination. 11x−20y=28 , 3x+4y=36

Answers

X= 8 Y= 3 math papa can help you and show you steps

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The value of x is 8.

The value of y is 3.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 7 is an equation.

We have,

11x - 20y = 28 ____(1)

3x + 4y = 36 _____(2)

Now,

Multiply 5 on (2).

11x - 20y = 28

15x + 20y = 180

26x          = 208

This means,

x = 208/26

x = 8

Now,

11x - 20y = 28

11 x 8 - 20y = 28

88 - 20y = 28

88 - 28 = 20y

y = 60/20

y = 3

Thus,

The value of x is 8.

The value of y is 3.

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If you would like to make $586 in 6 years, how much would you have to deposit in an account that pays simple interest of 3%?
Round all answers to 2 decimal places.

Answers

Answer:

$3255.56

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 3%/100 = 0.03 per year,

then, solving our equation

P = 586 / ( 0.03 × 6 ) = 3255.5555555556

P = $ 3,255.56

The principal required to

accumulate interest of $ 586.00

on a rate of 3% per year for 6 years is $ 3,255.56.

Find the slope of the line that contains (2, -10) and (-4, 2)

Answers

Answer:

slope=(2--10)/(-4-2)=12/-6=-2

The required slope of the line is -2.

Given that,
To find the slope of the line that contains (2, -10) and (-4, 2).

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
The slope of any line is given as if two points are given,
m = [y₂ - y₁] / [x₂ - x₁]
the slope of the line that contains (2, -10) and (-4, 2)
m = [2 + 10 ] / -4 - 2
m = 12 / -6
m = -2

Thus, the required slope of the line is -2.

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