MATHEMATICS HIGH SCHOOL

The LCM of two numbers is 14 times their HCF. The sum of LCM and HCF is 600. If one number is 280, then find the other number.

Answers

Answer 1
Answer:

Given:

The LCM of two numbers is 14 times their HCF.

The sum of LCM and HCF is 600.

One number is 280.

To find:

The other number.

Solution:

Let HCF of two numbers be x.

The LCM of two numbers is 14 times their HCF.

LCM = 14x

The sum of LCM and HCF is 600.

14x+x=600

15x=600

x=(600)/(15)

x=40

So, HCF = 40 and the LCM is

LCM=14(40)

LCM=560

We know that, if a and b are two numbers, then

a* b=LCM(a,b)* HCF(a,b)

One number is 280.

280* b=560* 40

b=(560* 40)/(280)

b=2* 40

b=80

Therefore, the other number is 80.

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T Object]User: What is the prime factorization of 1,260?A. 2 × 3 × 5 × 7B. 2 × 3 × 5 × 6 × 7C. 2 × 2 × 3 × 3 × 5 × 7D. 4 × 5 × 7 × 9

Find the area of the region bounded by the graphs of the equations
2y^2 = x + 4 and x = y^2

Answers

Answer:

Step-by-step explanation:

2y^2 = x + 4 \rightarrow x = 2y^2 -4

x=y^2

intersection points

2y^2 - 4 = y^2

y^2 =4

y = \pm 2 \rightarrow (4, -2)~ and~ (4, 2)

\int\limits^2_(-2) (y^2-(2y^2-4)} \, dy

You finish it by yourself

What is the slope of the line passing through the points (1, –5) and (4, 1)?A. 2
B. -4/5
C. 5/4
D. -2

Answers

the slope is a 2
here the stpes 
6/3 got 2
y2-ya
x2-x1
then you get 6/3 devide ad that you slope

Please help! See algebra question..

Answers

Answer:

n = -10

Step-by-step explanation:

solving a one step equation with a missing variable

step 1: subtract 3 from both sides of the equation then simplify

ex: n + 3 - 3 = -7 - 3   (n = -10)

step 2: take your answer of n which is -10 and add plug it in into your original equation n + 3 = -7 and solve to check your answer

ex: n + 3 = -7   (-10 + 3 = -7)

add

-10 + 3 = -7

-7 = -7   (if both sides of the equation are the same numbers like -7 = -7 then your answer is true making n = -10 your answer) i would love to get brain if this is correct and helps <(^w^)>

Answer:

n=-10

Step-by-step explanation:

n+3=-7

n=-7-3

n=-10

this helps thank you

branlist please

How do I solve 1/7 +2/7

Answers

1/7+2/7=3/7 because you only add the numerator not the denominator

Answer: 3/7

Here are two methods to solve this problem.

1. Count on, since you have the same denominator.

  1/7, 2/7, 3/7.

2. Add, but not counting on.

  1 + 2 = 3

  3 = 3/7.

Hope it helps!

Sara travels twice as far as Eli when going to camp. Ashley travels as far as Sara and Eli together. Hazel travels 3 times as far as Sara. In total, all 4 travel a total of 888 miles to camp. How far do each of them travel?

Answers

Eli travels 74 miles

Sara travels 148 miles

Ashley travels 222 miles

Hazel travels 444 miles

Further explanation

Simultaneous Linear Equations could be solved by using several methods such as :

  • Elimination Method
  • Substitution Method
  • Graph Method

If we have two linear equations with 2 variables x and y , then we need to find the value of x and y that satisfying the two equations simultaneously.

Let us tackle the problem!

Let :

Sara's Distance = s

Eli's Distance = e

Ashely's Distance = a

Hazel's Distance = h

Sara travels twice as far as Eli when going to camp.

s = 2e

Ashley travels as far as Sara and Eli together.

a = s + e = 2e + e = 3e

Hazel travels 3 times as far as Sara.

h = 3s = 3(2e) = 6e

In total, all 4 travel a total of 888 miles to camp.

s + a + h + e = 888

2e + 3e + 6e + e = 888

(2 + 3 + 6 + 1)e = 888

12e = 888

e = 888 / 12

e = \boxed {74 ~ \texttt{miles}}

s = 2e = 2(74) = \boxed {148 ~ \texttt{miles}}

a = 3e = 3(74) = \boxed {222 ~ \texttt{miles}}

h = 6e = 6(74) = \boxed {444 ~ \texttt{miles}}

Learn more

Answer details

Grade: High School

Subject: Mathematics

Chapter: Simultaneous Linear Equations

Keywords: Simultaneous , Elimination , Substitution , Method , Linear , Equations
Eli travels the shortest distance, so she'll be the main letter for algebra. She can be 'e'.
Sara travels twice as far, so her distance is 2e.
Ashley travels Sara and Eli, so 2e + e, or 3e
Hazel travels 3 times Sara, so 2e * 3, or 6e. Together they all travel 888 miles.
So e + 2e + 3e + 6e = 888
Simply, 12e = 888
Therefore, e = 888/12, or 74
So Eli travels 1*74 (74) miles
Sara travels 2*74 (148) miles
Ashley travels 3*74 (222) miles
Hazel travels 6*74 (444) miles

A line segment is drawn from (1, 9) to (4, 9) on a coordinate grid. Which answer explains one way that the length of this line segment can be determined? A. Add 9 + 4. B. Add 4 + 1. C. Subtract 9 – 4. D. Subtract 4 – 1.

Answers

One way that the length of this line segment can be determined is by
D. Subtract 4 - 1

Or the distance formula can be used
d = √( (9 - 9)² + (4 - 1)² )
d = √( 0² + 3² )
d = √3²
d = 3
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