Mathematics Middle School

in the red line and the blue line trains just arrived at the station when will the next arrive at the station at the same time. the red line arrives every eight minutes the Blue Line arrives every 10 minutes

Answers

Answer 1

It will be 5 stops for the red one and 4 stops for the blue line before they both arrive at the same time.

Answer 2

Answer:

40 minutes

Step-by-step explanation:

In the red line and the blue line trains just arrived at the station.

The red line arrives every eight minutes.

The Blue Line arrives every 10 minutes.

Next they will arrive at the station at the same time, LCM of 8 minutes and 10 minutes.

Because both train will come at same multiple of 8 and 10.

Factor of 8 : 2 × 2 × 2

Factor of 10 : 2 × 5

LCM : 2 × 2 × 2 × 5 = 40

Hence, After 40 minutes both train will arrive at station at same time.

Related Questions

y= 4x-9
and y=x-3

Also using transitive property

Answers

y = 4x - 9 and y = x-3 so the two right sides (4x-9 and x-3) must be equal

4x-9 = x-3

Let's solve for x

4x-9 = x-3
4x-9+9 = x-3+9 ... add 9 to both sides
4x = x+6
4x-x = x+6-x ... subtract x from both sides
3x = 6
3x/3 = 6/3 ... divide both sides by 3
x = 2

If x = 2, then y is...
y = 4*x - 9 = 4*2-9 = 8-9 = -1
which can also be found by
y = x-3 = 2-3 = -1

So overall x = 2 and y = -1

We have the ordered pair (x,y) = (2,-1)

What is the greatest common factor of a^6b^3 and a^4b^7

Answers

a^6b^3 and a^4b^7

GCF is a^4b^3

The equation of a line is X+3Y=14
what is the y-intercept of the line?

Answers

X+3y=14
-x. -x
3y=-x+14
Divide them all by 3
Y=-x/3+14/3
Y-intercept= 1/3

Answer: The required y-intercept of the given line is [tex]\dfrac{14}{3}.[/tex]

Step-by-step explanation: We are given to find the y-intercept of the following equation of a line :

[tex]x+3y=14~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

The slope-intercept form of the equation of a line is given by

[tex]y=mx+c,[/tex] where m is the slope and c is the y-intercept of the line.

From equation (i), we have

[tex]x+3y=14\\\\\Rightarrow 3y=-x+14\\\\\Rightarrow y=-\dfrac{1}{3}x+\dfrac{14}{3}.[/tex]

Comparing the above equation with the slope-intercept form, we get

[tex]\textup{y-intercept, c}=\dfrac{14}{3}.[/tex]

Thus, the required y-intercept of the given line is [tex]\dfrac{14}{3}.[/tex]

3 and 5/6 minus 2 and 3/4

Answers

The answer is 1.0833

The answer is 1 1/12

Help Me on number 12. A - C
Plz

Answers

3(1) = 3
3(2) = 6
3(3) = 9
3(4) = 12
3(5) = 15
3(6) = 18
3(7) = 21
3(8) = 24
3(9) = 27
3(10) = 30

The set of number is in order, and gives you the product of the first ten numbers when multiplied with 3.
yes, for 12,21,30,216 > 10, you will reach them eventually

hope this helps

please enlighten me on what 3n 7n and 6n is there for, and maybe i can help for those too

what would (-2/3) squared be?

Answers

(-2/3)(-2/3)

Multiply the numerators: -2*-2=4
Multiply the denominators: 3*3=9

Final answer: 4/9

In solving a jigsaw puzzle, a move consists of joining two clusters, including clusters of just one piece. What is the minimum number of moves required to complete a two-thousand piece jigsaw puzzle that is separated into individual pieces?

Answers

Solution: As always, try to find a way of looking at the problem that makes the solution simple. In this problem, regardless of the current state of the puzzle, a move consists of combining two clusters into a single cluster. Therefore every move reduces the number of clusters by 1. Since we begin with 2000 clusters (the single pieces) and end with 1 cluster, we need \[2000-1=\boxed{1999}\] moves to complete the puzzle.

Answer:

1999 moves are required.

Step-by-step explanation:

Given is - In solving a jigsaw puzzle, a move consists of joining two clusters, including clusters of just one piece.

This means exactly [tex]n-1[/tex] moves are required to solve a jigsaw puzzle with n pieces.

Here, n = 2000

So, moves will be = [tex]2000-1=1999[/tex]

Hence. 1999 moves are needed to solve the puzzle.

Rolf spent 15 hours last week practicing his saxophone if 3/10 of the time was spent practicing warm-up routines how much time did he spend practicing warm-up routines

Answers

I'll be 150 by multiplying the number and find the answer

One-sixth of a number is four

Answers

4 divided by 1/6

4*6

24

Hope this helps!

What is the measure of angle B in the triangle?

This triangle is not drawn to scale.

Enter your answer in the box.

m∠B=
°

A triangle labeled ABC with the angles A forty degrees, angle B parenthesis two x minus thirty parenthesis degree, angle C parenthesis x plus twenty parenthesis degrees

Answers

the interior angles of a triangle add up to 180 degrees

40 + 2x - 30 + x + 20 = 180
3x + 30 = 180
3x = 180 - 30
3x = 150
x = 150/3
x = 50

< A = 40
< B = 2x - 30.....2(50) - 30 = 70 <===
< C = x + 20......50 + 20 = 70

Answer:that answer to the test is 70

Step-by-step explanation:

How many times can 2 1/2 be subtracted from 12 1/2

Answers

2 1/2 = 2.5
12 1/2 = 12.5

This means you can calculate how may times it goes in by dividing it and rounding the number down:

12.5 / 2.5 = 5

*5 can not be rounded down so it stays the same

This means that 2 1/2 goes into 12 1/2 5 times. Hope this helps! :)

12.5 divides by 2.5 will give you 5

Karen currently has an account balance of $7,062.25. She opened the account 17 years ago with a deposit of $2,640.95. If the interest compounds monthly, what is the interest rate on the account?

Answers

The interest rate is 0.4833333%

Round 4,589 to the thousands

Answers

That would be 5,000.

5,000 is the answer to your question

In basketball some baskets worth two points others worth three points.in one game the ratio of three point baskets to three point tries for one team was 5:8 if team scored 60 points from three point baskets,how many three point tries did the team have?

Answers

5 actual baskets made and 8 3-point tries. The ratio is 5:8.
You can make a proportion as follows,
5/8=60/x
5 and 60 are equivalent since both are 3-point tries.
What times 5 will equal 60? 12.
So if you multiply 5*12 you will get 60. And if you multiply 8*12 you will get 96.
X=96.
The team tried 96 three-point baskets.

The team tried 96 three point baskets.

All matter is made of atoms that cannot be divided or destroyed.

True
False

Answers

The statement is TRUE because atoms are the smallest unit of matter.

Hope it helps you:)

840,007 rounded to nearest thousand

Answers

840,000 was the answer

800,000 dose this help you better

A model of a famous statue is 1 1/2 inches tall. The actual statues is 3 3/4 feet tall. What is the ratio of the height of the model to the height of the actual statue in simplest form?

Answers

Final answer:

The ratio of the height of the model to the height of the actual statue, once converted to the same units, is 1:30. The actual statue at 3 3/4 feet tall is equivalent to 45 inches, and the model is 1 1/2 inches tall.

Explanation:

To find the ratio of the height of the model to the actual statue, we must first make sure both measurements are in the same units. Since the model is given in inches, we will convert the actual statue's height from feet to inches. There are 12 inches in a foot, so:

3 3/4 feet = 3.75 feet x 12 inches/foot = 45 inches.

Now we can set up the ratio of the model to the actual statue:

1 1/2 inches / 45 inches.

First, convert 1 1/2 inches to an improper fraction, which is (1 x 2 + 1)/2 = 3/2 inches. Our ratio is thus:

(3/2) inches / 45 inches = 3/90 = 1/30.

The ratio in simplest form is 1:30.

math question down below more than one answer

Answers

the third one.

32-9=23
the answr is 23

Evaluate the numerical expression. 5 + (46 + 7) * 2

Answers

5 + (46 + 7) x 2

5 + (53) x 2

5 + 106

111 is answer

PEMDAS (parenthesis, exponent, multiply & divide, add & subtract)

hope this helps

Ok so PEMDAS which is Please Excuse My Dear Aunt Sally. P=parentheses E= exponents M=multiplication D=division A=addition S=subtraction.

[tex]5+(46+7) * 2 [/tex]
[tex]46+7=53[/tex]
[tex]53 * 2=106[/tex]
[tex]5+106=111[/tex]

Theres the full explanation of your answer.

Which of the following ordered pairs are y-intercepts? Check all that apply. (4, 0) (–1, 1) (0, 0) (0, –7) (–2, –2) (0, –0.25)

Answers

Answer:

C,D,F

promise

Answer:

It is C, D, and F. I got it right.

Step-by-step explanation:

The cost to manufacture x number of chairs can be represented by the function C(x) = 36x. In this context, what does C(x) = 2268 mean?

Answers

C(x) = 2268 means that at $36 per chair, when purchasing 63 chairs it will cost $2,268

Michael bought 0.44 pounds of sliced turkey. What is the value of the digit in the hundreths place

Answers

0.44....the digit in the hundredths place is 4....and since it is in the hundredths place, its value is 4/100 (four-hundredths)

0.5 is 10 times as great as

Answers

The answer is: " 0.05 " .
____________________________
Explanation:
____________________________
Take "0.5" and divide by "10" :

0.5 /10 = 0.05 .
____________________________

.5
because when you do .05 x 10 you get .50

What is 24.678 rounded to two decimal places

Answers

It would be 20.000 because you would round down

Salutations!

What is 24.678 rounded to two decimal places?

Rounding off to two decimal place means that you are rounding to the nearest hundredths. For this, you need to check whether the number next to the thousandth place is greater than 5, or lesser than 5, If its greater than 5, you need to round up. If its lesser than 5, you need to round down.

8 is sitting in the thousandth place, therefore, we will be adding+1 to the hundredth place.

24.678 rounded to two decimal place ≈ [tex]24.68[/tex]

Hope I helped (:

Have a great day!

An election ballot asks voters to select two city commissioners from a group of four candidates. In how many ways can this be done?

Answers

Let n = 12
Let r = 6
Replace every n! with 12 and every r! with 6 and then do the math.
nCr = 12!/[(12 - 6)!*6!]
nCr = 479001600/(720)(720)
nCr = 479001600/518400
nCr = 924
There are 924 ways or combinations to select 6 city commissioners from a group of 12 candidates

One 747-airplane can carry 420 passengers. How many total passengers can three planes carry?

Answers

420•3= 1,260 passengers

In the number 8,888.888, how does the 8 in the hundredths place compare to the 8 in the place to its left? A. The 8 in the hundredths place represents of what the 8 to its left represents. B. The 8 in the hundredths place represents of what the 8 to its left represents. C. The 8 in the hundredths place represents 100 times what the 8 to its left represents. D. The 8 in the hundredths place represents 10 times what the 8 to its left represents.

Answers

Final answer:

In the number 8,888.888, the 8 in the hundredths place is one-tenth of the value of the 8 in the tenths place, reflecting the structure of the decimal system where each place to the right of the decimal point is a tenth of the value of the position to its left.

Explanation:

When comparing the 8 in the hundredths place to the 8 in the tenths place (the place to its left), we need to remember that in our decimal numbering system, each place to the left is ten times greater than the place to its right. This is a fundamental property of the powers-of-ten notation, which our counting system is based on.

Therefore, the 8 in the hundredths place is one-tenth the value of the 8 in the tenths place. In other words, each 8 in the decimal part of the number 8,888.888 represents ten times less the value of the 8 to its immediate left. This reflects the structure of the decimal system, where each place to the right of the decimal point represents a fraction of 10 of the position to its left.

Learn more about decimal system here:

https://brainly.com/question/28222265

#SPJ2

If a car can travel 250 miles on 10 gallons of fuel, how many gallons are required to travel 1,325 miles?

Answers

1325 250
------- = -------
x 10

1325(10) = 250x

13250/250 = 250x/250

x = 53

53 gallons are required to travel 1325 miles

hope this helps

Answer:

53 gallons of fuel

Step-by-step explanation:

Step 1: Set up a fraction given the data (Let "x" represent the distance in miles.)

[tex]\frac{10}{250} = \frac{x}{1325}[/tex]

Step 2: Divide the given values (The given values are 10 over 250. We are doing this because we need to know the difference between those two figures.) (Trick: For this case, all you need to do is cancel both zeros and the answer is 25)

[tex]\frac{10}{250}\\\\10 \div 250\\\\= 0.04[/tex]

Step 3: Multiply the result to the last value (Since we've found the difference between them by division, we will have to do the opposite operation in order to find the answer.)

[tex]1325 \times 0.04\\\\= 53[/tex]

Therefore, 53 is the amount of gallons of fuel needed.

Which of the following is a rational number? (4 points)

A. square root of 1

B. square root of 2

C. square root of 3

D. square root of 4

Answers

D is the answer because you can write it as a fraction

D bc a rational number is any number that can be expressed as the quotient or fraction

43.586 to the nearest tenth

Answers

it would be 43.590 because 86 is closer to 90 but it is mainly 43.6

Hi there!

The answer is > 43.6

Hope this helps please mark brainliest.

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