Mr. Brackett works in factory with his two sons. He is really happy with his job because he gets to spend some time with his beloved sons not only at home but also at work! He is allowed to take a break every 140 minutes while his two sons are allowed to take breaks in 210 minutes and 280 minutes. How many minutes will they have to wait after their first break together to get together again?

Answers

Answer 1

Answer:

840 minutes

Step-by-step explanation:

We solve this question using the LCM Method

Find and list multiples of each number of minutes which is given in the quest as 140, 210 and 280 minutes until the first common multiple is found. This is the lowest common multiple.

Multiples of 140:

140, 280, 420, 560, 700, 840, 980, 1120

Multiples of 210:

210, 420, 630, 840, 1050, 1260

Multiples of 280:

280, 560, 840, 1120, 1400

Therefore,

LCM(140, 210, 280) = 840

Therefore, they would have to wait after their first break together to get together again after 840 minutes


Related Questions

2. What is the equation of the line with a y-intercept of (0,8) and a slope of
-2? *
A. y = 8x + 2
B. y = -8x-2
C. y = 2x + 8
D. y = -2x +8

Answers

Answer:

C

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 2 and c = 8, then

y = - 2x + 8 → C

Answer:

Step-by-step explanation:

3(x - 5) - 9x < 2x + 17

Answers

Answer:

3x-15-9x<2x+17(Collect like terms)

-6x-15<2x+17

-6x-2x<17+15

-8x<32

x>-4

5. Find x in the hexagon below.
PLEASE HELP

Answers

Answer:

this is a required answer.

please help thank you

Answers

Answer:

i think 3.33

Step-by-step explanation:

r = y/x

x=3, y=30

r= 3/10

r=3.33

simplify (4x²y³)(2xy⁶)​

Answers

Answer:

8x^3y^9

Step-by-step explanation:

just multiply 4 by 2. then, add each exponent. for example, there is x² and there is x, so do x² × x = x³. then do y³ × y^6 = y^9.

8x^3 y^9

multiply the 4 and 2 then add the exponents of the common variables

Ahmed buys a house for 179500 a year later he sells the house for 190270 calculate the percentage profit

Answers

Step-by-step explanation:

For percentage profit questions, use this formula:

Percentage 'change' = 'change' / original x 100

(where 'change' is the difference between the 2 values)

Now subsitute the values:

Percentage Change = 10770 / 179500 × 100

Answer :

6

hope this helps

1. Positive
2. Negative
3. Zero
4. Undefined

Answers

Answer:

zero

Step-by-step explanation:

zero graphs are lines that are horizontal.

Does anyone know how to solve this??

Answers

Answer:

(x - 3)² + (y + 1)² = 65

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

The centre C is at the midpoint of the endpoints of the diameter.

Using the midpoint formula to find C

C = ( [tex]\frac{7-1}{2}[/tex], [tex]\frac{6-8}{2}[/tex] ) = ( [tex]\frac{6}{2}[/tex], [tex]\frac{-2}{2}[/tex] ) = (3, - 1 )

The radius is the distance from the centre to either of the endpoints of the diameter.

Using the distance formula to find r

with C (3, - 1 ) and (7, 6 ) , then

r = [tex]\sqrt{(7-3)^2+(6+1)^2}[/tex]

  = [tex]\sqrt{4^2+7^2}[/tex]

  = [tex]\sqrt{16+49}[/tex]

  = [tex]\sqrt{65}[/tex]

Then equation of circle is

(x - 3)² + (y - (- 1) )² = ([tex]\sqrt{65}[/tex] )², that is

(x - 3)² + (y + 1)² = 65 ← equation of circle

Which does not belong? Explain your reasoning.
a. y = 220(1.75)
b. y =64(1.23)
c. y = 40(0.87)
d. y = 56(1.42)

Think about the differences between growth and decay​

Answers

Answer:

c

Step-by-step explanation:

Whats a fraction thats equivalent to 3/4

Answers

Answer:

6/8

Step-by-step explanation:

3/4

3*2=6

4*2=8

6/8= 3/4

Answer: 6/8

Step-by-step explanation:

find y when x=4, if y=7 when x=14

Answers

Answer: y = 2 when x = 4

i looked for a correlation in the given problem, and i realized that "y" will equal half of whatever "x" equals. so when x = 4, y = 2.

point (-4,-8) Reflected across the x-axis

Answers

Answer:

(-4 , 8)

Step-by-step explanation:

The x-axis is the horizontal line. In this case, if you are reflecting over the x-axis, you are flipping the sign of the y-coordinate.

Same with the y-axis. If you are reflecting over the y-axis, you are flipping the sign of the x-coordinate.

In this case, reflect across the x-axis. Flip the sign of the y: (x , y)

(-4 , -8) reflected over the x-axis is (-4 , 8).

~

Gabriel needs d more dollars to buy a new video game console that costs $156.75. He has saved $98.26. Solve the equation $98.26+d=$156.75to find how much more money Gabriel needs.

Answers

Answer:

d=58.5 hope this helps

Step-by-step explanation:

Vineisha earned 22 out of 20 points on her science quiz over the phases of the moon due to an extra credit question. What percent did she earn on the quiz?

Answers

Vineisha earned 110 percent on the science quiz which was about the phases of the moon.

How to calculate the percent earned ?

Vineisha earned 22 out of 20 points on her science quiz over the phases of the moon

The percent earned can be calculated by dividing 20 by 22 and then multiplying the result by 100

22/20 × 100

= 1.1 × 100= 110

Hence the percent she earned on the quiz is 110%

Read more on percent here

https://brainly.com/question/9675344

#SPJ1

i didn't learn about asynchronous cause i missed school​

Answers

Answer:

Go ask your teacher for the video

Step-by-step explanation:

On Dolores's tenth birthday her grandfather deposited $35
in a savings account for her. Each year, her grandfather
deposited twice the amount of the previous year's deposit.
How much money did her grandfather deposit on Dolores's
eighteenth birthday?

Answers

Answer: Her grandfather deposited $4480 on Dolores's  eighteenth birthday.

Step-by-step explanation:

Initial amount deposited = $35 (on tenth birthday)

Amount deposited after a year  = 2 x ($35)  (on eleventh birthday)

Amount deposited after 2 years  =2 x( 2 x ($35))  = 2²(35)(on eleventh birthday)

It is following the geometric progression, where a= 35, r= 2 (common ratio)

nth term in GP =[tex]ar^{n-1}[/tex]

Amount deposited on eighteenth birthday (i.e. n=8) = [tex](35)(2)^{8-1}[/tex]

[tex]=35\times2^7=35\times128=4480[/tex]

Hence, Her grandfather deposited $4480 on Dolores's  eighteenth birthday.

MARKING BRAINLIST! At Marget, a stuffy normally costs $12, but this week it is on sale for $9. What is the Percent of Change on the stuffy?

Answers

Answer:

the stuffy is 25% off

Step-by-step explanation:

hope this helped

Answer:

75%

Its 75% because 50% would be 6 and 25% would be 3

I even verified it on calculator

solve the following systems of equations by elimination

- 2x - 5y=-27
- 2x + 3y = 13​

Answers

Answer:

x= 1

y- 5

Step-by-step explanation:

okay so you know the rules...

we need to eliminate one variable to solve this system so first...

im going to get rid of x first to do so i need to...

multiply any of the equation by negative one to get it to a positive to eliminate

-2x - 5y= -27

( -2x + 3y= 13) -1

-2x -5y= -27

2x -3y= -13   follow the rules of signed integers

we eliminate x and have this left

-5y= -27

-3y= -13    use the second rule of elimination....add the rest up

-8y= -40   divide both sides by -8

y= 5

we arent done yet we need to find the other variable

plug in y to one of the equations like this...

-2x - 5(5)= -27

-2x - 25= -27   add -25 to both sides to get the variable by itself

-2x= -2   divide both sides by -2

x= 1

Hope this helped!

What is the solution to this equation?

X/5 = 25

A. x = 20
B. x= 125
C. x = 5
D. x= 30

Answers

Answer:

A. x=20

Step-by-step explanation:

What is each percent of change? Round to the nearest whole percent if
necessary. Is the percent of change an increase or decrease? 30 to 90.*

Answers

Answer:

Its an increase

30 to 90

I= 100 x (f-i)/i

I= 100 x 90-30/30

I= 100 x 2

200% increase

a proportional relationship is formed when y = 16 x = -4 what is the value of x when y =4

Answers

Step-by-step explanation:

if it is direct proportion

Y=KX

16=K×-4

16/-4 =k

K=-4

then

Y=KX

4= -4×X

X= 4/-4

X= -1

7n+2 = 4n+17 solve the equation

Answers

Answer:

n = -5

Step-by-step explanation:

Solve for n:

n + 2 = 4 n + 17

Hint: | Move terms with n to the left hand side.

Subtract 4 n from both sides:

(n - 4 n) + 2 = (4 n - 4 n) + 17

Hint: | Combine like terms in n - 4 n.

n - 4 n = -3 n:

-3 n + 2 = (4 n - 4 n) + 17

Hint: | Look for the difference of two identical terms.

4 n - 4 n = 0:

2 - 3 n = 17

Hint: | Isolate terms with n to the left hand side.

Subtract 2 from both sides:

(2 - 2) - 3 n = 17 - 2

Hint: | Look for the difference of two identical terms.

2 - 2 = 0:

-3 n = 17 - 2

Hint: | Evaluate 17 - 2.

17 - 2 = 15:

-3 n = 15

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of -3 n = 15 by -3:

(-3 n)/(-3) = 15/(-3)

Hint: | Any nonzero number divided by itself is one.

(-3)/(-3) = 1:

n = 15/(-3)

Hint: | Reduce 15/(-3) to lowest terms. Start by finding the GCD of 15 and -3.

The gcd of 15 and -3 is 3, so 15/(-3) = (3×5)/(3 (-1)) = 3/3×5/(-1) = 5/(-1):

n = 5/(-1)

Hint: | Simplify the sign of 5/(-1).

Multiply numerator and denominator of 5/(-1) by -1:

Answer: n = -5

Answer:

n = 5

Step-by-step explanation:

[tex]7n + 2 = 4n + 17[/tex]

➡️ [tex]7n - 4n = 17 - 2[/tex]

➡️ [tex]3n = 15[/tex]

➡️ [tex]n = 5[/tex] ✅

Joe bought a television that was on sale for 20% off. He paid $160.00 for it. What was the original price?

Answers

160+20%= $192.00 is the original price

trishsa bought bags of tennis balls there are eight tennis balls in each bag Could trisha have 75 tennis balls

Answers

No, Trisha could not have 75 tennis balls for 75 is not able to be divided into 8 bags with the same amount in each bag.

The local Toyota dealership pays an average of $9,260 with a standard deviation of $1099 for used car trade-ins. They sell new cars at an average of $28,451 with a standard deviation of
$3392. Assume independence of new car and trade-ins. What are the mean and standard
deviation of the revenue this dealership should expect when a person trades in a car and purchases a new one?

Answers

Answer:

B i think

Step-by-step explanation:

If two parallel lines are cut by a transversal, then alternate exterior angles are

a.) Congruent
b.) Supplementary

Answers

Answer:

A: Congruent

Step-by-step explanation:

The correct answer is A) Congruent. This means they are equal in size.

Drake's Drugstore is getting ready for the upcoming summer season. The manager of the store wants to
add lawn chairs to the stock. He asks the buyer to determine the two lowest priced wholesalers of lawn
chairs. The table shows the data that the buyer collects from two wholesalers

Answers

Answer:

A) 82.99(p-1) +90.99=C

and

B) 80.99(p-1) + 98.99 = C

plug and chug for p

Step-by-step explanation:

answer 3x + 5 = 2x + 1

Answers

Answer:

3x+5=2x+1

3x-2x=1-5

x= -4

3x + 5 = 2x + 1   | subtract 2x on both sides

x + 5 = 1   | subtract 5 on both sides

x = -4 | final answer

Solve |2x - 3|< 7 help pls!!

Answers

Answer:

I think it is c, sorry if I am wrong.

Answer:

-2<=x<=5

Step-by-step explanation:

|2x - 3|< =7

-7<=2x-3<=7

-4<=2x<=10

-2<=x<=5

The expression 200 - 16t2 models the height in feet of an object that falls from the initial height of 200 feet t seconds after being dropped. Find the height of the object after 0.75 seconds. Make sure and include the units of feet in your answer for full credit. Round your answer to the nearest hundredth place.

Answers

Answer:

Concept: Modeling expressions

We are given the equation [tex]200 - 16 {t}^{2} [/tex]We want to find the time after 0.75 seconds given that t is represented in seconds.Hence we do [tex]200 - 16(0.75)^{2} [/tex]Hence we get the answer to 191 feet

The height of the object that falls after 0.75 seconds given that t is represented in seconds is 191 feet.

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The expression 200 - 16t^2 models the height in feet of an object that falls from the initial height of 200 feet t seconds after being dropped.

We need to find the time after 0.75 seconds given that t is represented in seconds.

The expression is given

[tex]200 - 16t^2[/tex]

time t = 0.75

Substitute the value of t in the given expression

= 200 - 16(0.75)^2

= 200 - 9

= 191

Hence we get the answer to 191 feet.

Learn more about quadratic equations;

brainly.com/question/13197897

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