Security A rounds every 2 minutes and 20 seconds in the gate 1. Security B

rounds every 1 minute and 40 seconds in the gate 2. If they conduct rounds at

the same time After how many minutes they will rounds together again?

Answers

Answer 1

Answer:

They will do rounds together again in 11 minutes and 40 seconds.

Step-by-step explanation:

Security A rounds every 2 minutes and 20 seconds in the gate 1.

That is, after 2*60 + 20 = 120 + 20 = 140 seconds.

Security B rounds every 1 minute and 40 seconds in the gate 2.

That is, after 1*60 + 40 = 60 + 40 = 100 seconds.

After how many minutes they will rounds together again?

First, we find this is seconds, which is the least common multiple between 140 and 100. Factoring them by prime factors:

140 - 100|2

70 - 50|2

35 - 25|5

7 - 5|5

7 - 1|7

1 - 1

lcm(140,100) = 2*2*5*5*7 = 700 seconds

They will do rounds together again in 700 seconds, which is 11 minutes and 40 seconds.


Related Questions

The saddleback Seahawks football team gained 37 yards in the first quarter of the game, they lost 88 yards in the second Quarter, lost another 105 yards in the third quarter, and gained 12 yards in the final quarter. Did they have a net gain of loss during the game. How many yards.
Please do this question, did they have a net gain of loss during the game. IT IS DUE. I will give brainlest and extra points please. MY QUESTION IS THAT: DID THEY HAVE A NET GAIN OF LOSS DURING THE GAME.

Answers

Answer:

loss, 144 yds loss

Step-by-step explanation:

Three babies A, B and C cry out at every interval of
time. Baby A cries out at every 20 minutes, while B
cries out at every 30 minutes and C at every 40
minutes. If they are observed at the same time, after
what time will the three of them cry together?​

Answers

Answer:

LCM of 20, 30, and 40

LCM = 120

they would cry together for the first time in 120 minutes.

Answer:

the answer is below :)

Step-by-step explanation:

for this we have to use lcm of 20 30 and 40

2|20,30,40

2|10,15,20

2|5,15,10

5|1,3,2

2|1,3,1

3|,1,1

120÷60

after 2 hours

When playing Yahtzee, I can roll 1 die and I need to roll a 2. What are my chances?

Answers

Answer:

Step-by-step explanation:

There are five dice, so whatever the first die rolls there is a 1/6 chance that the second die is the same number. If that occurs, there's a 1/6 chance that the third die is the same, ditto the fourth and the fifth. So probability of Yahztee in one roll is 1/6 x 1/6 x 1/6 x 1/6 = 1/1296.

Answer:

A 60% chance

Step-by-step explanation:

3 pounds to 24 ounces write each ratio in simplest form

Answers

Answer:

2:1

Step-by-step explanation:

First we convert 3 pounds into ounces which is 3x16 because 1 pound=16 ounces. So 48 ounces=3 pounds. So know we have the ratio 48:24 which we can simplify to 2:1

Hope this helps :)

The required simplest ratio for 3 pounds to 24 ounces is 1 : 8.

Given that,
3 pounds to 24 ounces write each ratio in simplest form is to be determined.

What is the Ratio?

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

What is simplification?

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

Here,
The ratio of 3 pounds to 24 ounces,
Simplest form = 3 / 24 = 1 / 8.

Thus, the required simplest ratio for 3 pounds to 24 ounces is 1 : 8.

Learn more about ratios here:

brainly.com/question/13419413

#SPJ5

In the figure below ABCD is a rectangle and DA and CB are radii of circles tangent externally, AB = 4 cm. Provide the answer in terms of π (Do not approximate)

Find: Radius DA
Area of rectangle ABCD
Area of shaded region
Perimeter of shaded region

PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

a. Radius of DA - 2 cm.

b. Area of rectangle ABCD -

c. Area of shaded - 8-4π

d. Perimeter of shaded region - also 8-4π

Hope this helps!  

plz help. I'm confused ​

Answers

Answer:yes, by SAS

Step-by-step explanation: a e makes the angle and b b finishes the equation brainliest plz thanks

A. Associative Property of Multiplication B. Associative Property of Addition
C. Commutative Property of Addition
D. Distributive Property of Multiplication
Which of the following does not show the Commutative Property of Addition?
A. 8 + x = x8
B 3x + 4y 4y + 3x
C. abba
D abba

Answers

Answer:

no sé carnal

Step-by-step explanation:

no sé eeeeeerrrrrrrree3eee

what number is divisible by 49 that is divisible by 27?​

Answers

9514 1404 393

Answer:

  1,323

Step-by-step explanation:

The smallest positive number divisible by both 49 and 27 is ...

  49×27 = 1,323

__

49 and 27 have no common factors, so the least common multiple is their product.

Plz help me! I’m not sure how to do these!

Answers

Step-by-step explanation:

2. x =101

3. x= 120

4. x= 30

I am very confused in question no 1 and 5 th .

hope this will be helpful to you.

plz mark my answer as brainlist if you find it useful .

Among the following correct statement is

a) The number of ways of expressing 36 as a product of two facrors is 4

b) The sum of odd divisors of 18 is 13 c) 220 and 274 are amicable numbers

d) G.C.D of 100, 25 is 1​

Answers

Answer:

Step-by-step explanation:

a) False. There are three factor pairs for 36:

1×36

2×18

3×12

4×9

6×6

b) True.

18 = 2×3²

Odd divisors of 18: 1, 3, 9

1+3+9 = 13

c) False

100 = 2×5²

25 = 5²

Greatest common divisor = 25

find the value of each variable using sine and cosine round your answers to the nearest tenth​

Answers

a=14.94
to the nearest 10=10
B=11
to the nearest 10=10
Sorry if it’s wrong

9514 1404 393

Answer:

  a = 14.9

  b = 11.1

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relevant relationships.

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

In this triangle, that means ...

  sin(48°) = b/a

  cos(48°) = 10/a

Using the cosine relation, we can find 'a':

  a = 10/cos(48°) ≈ 14.9

Then using the sine relation, we have ...

  b = a·sin(48°) ≈ 11.1

_____

Additional comment

When computing 'b', the full precision value of 'a' should be used.


george is going to buy a used car that is 4,500. he is going to pay 3/4 of the car and his parents are going to pay the rest. how much will his parents pay?​

Answers

Answer:his parents will pay 1125

Step-by-step explanation:

Travis sold 15 of his basecall cards. This represents 20% of his total cards. what is Travis total number of cards?​

Answers

75 is the total number of cards

An animal population is modeled by the function A(t) that satisfies the differential equation dA dt equals the product of A divided by 1125 and the quantity 450 minus A . What is the animal population when the population is increasing most rapidly?
45 animals 225 animals 40 animals 180 animals

Answers

Answer:

225 animals

Step-by-step explanation:

From the given information:

[tex]\dfrac{dA}{dt} = ( \dfrac{A}{1125}) (450 - A)[/tex]

[tex]\dfrac{dA}{dt} = \dfrac{450A - A^2}{1125}[/tex]

For a population increasing most rapidly; we have:

[tex](\dfrac{dA}{dt} \implies max = A')[/tex]

Thus; for [tex]\dfrac{d}{dA} ( \dfrac{dA}{dt}) \implies \dfrac{450-2A}{1125}[/tex]

[tex]\dfrac{dA'}{dA} \implies 0 \\ \\ \\ A = 225[/tex]

Fill the missing values to make the equations true.

Answers

Answer:

a) [tex]\log_{9} 8 + \log_{9} 11 = \log_{9} 88[/tex]

b) [tex]\log_{7} 11 - \log_{7} 3 = \log_{7} \frac{11}{3}[/tex]

c) [tex]\log_{7}\frac{1}{81} = -4\cdot \log_{7} 3[/tex]

Step-by-step explanation:

Now we proceed to solve each case by appropriate rules for logarithms.

a) The following property shall be used: [tex]\log_{c} a +\log_{c} b = \log_{c} a\cdot b[/tex] ([tex]a = 8[/tex], [tex]b = 11[/tex], [tex]c = 9[/tex])

[tex]\log_{9} 8 + \log_{9} 11 = \log_{9} 8\cdot 11[/tex]

[tex]\log_{9} 8 + \log_{9} 11 = \log_{9} 88[/tex]

b) The following property shall be used: [tex]\log_{c} a - \log_{c} b = \log_{c} \frac{a}{b}[/tex] ([tex]a = 11[/tex], [tex]b = 3[/tex], [tex]c = 7[/tex])

[tex]\log_{7} 11 - \log_{7} 3 = \log_{7} \frac{11}{3}[/tex]

c) The following properties shall be used: [tex]\frac{1}{d} = d^{-1}[/tex], [tex]\log_{c} a^{b}[/tex]

[tex]\log_{7} \frac{1}{81} = \log_{7} 81^{-1}[/tex]

[tex]-\log_{7} 81[/tex]

[tex]-\log_{7} 3^{4}[/tex]

[tex]\log_{7}\frac{1}{81} = -4\cdot \log_{7} 3[/tex]

5, 7, 9
Show that the mean of these three numbers is 7.​

Answers

Answer:

Mean= 7

Step-by-step explanation:

The numbers are 5, 7, 9

Mean= sum of numbers/ total numbers

= 5+7+9/3

= 21/3

= 7

Hence the mean is 7

Simplify 8/10 please help me

Answers

Well to simplify 8/10 you divide by 2 for both numbers on top and bottom like this 8/10 divided by 2 would equal to 4/5 the answer will be 4/5

Type the correct answer in each box. Use numerals instead of words.

Answers

Answer:

4 Blue chips

6 Yellow chips

10 Red chips

Imagine 20% as 2 of 10. We have 20 chips, and that's double of that. So if we have 2/10... we will have 4/20

Same with the yellow chips. Imagine 30% as 3 of 10, again double that... 6/20.

It doesn't directly say the percent of design a computer representation but we can infer that if we have 20% and 30%... that makes 50%, there is only 100 in a percent, so that means there is 50% left! We repeat the process where we envision 50% as 5 of 10, double that. Now we have 10 of 20, 50%!

are these right??? Please help

Answers

Answer:

yes as far as i can see and tell

Step-by-step explanation:

Yea you are correct

If (a+b)² =10 and ab=1 then find a²+b²

Answers

Answer:

8

Step-by-step explanation:

so openeing the parenthesis we get

a2+2ab+b2=10

a2+2(1) +b2=10

a2+2+b2= 10

a2+b2=8

if my answer helps please mark as brainliest

Describe the image when a scalene triangle is rotated 180 degrees counterclockwise
about the origin.

Answers

Answer:

It is a same size scalene triangle as the original triangle.

Step-by-step explanation:

:)

Answer: Choice B

It is a same size scalene triangle as the original triangle.

Step-by-step explanation:

A. It is a smaller scalene triangle than the original triangle.

B.(It is a same size scalene triangle as the original triangle.)

C.It is a larger scalene triangle than the original triangle.

many states refused to ratify the constitution unless?​

Answers

Other Federalists claimed that the new government could not violate the people's rights because it only had limited powers. However, most state legislatures refused to ratify the Constitution without the Bill of Rights being added to the document.

which algebraic expression are equivalent to the phrase a number increased by 0.25 select all that apply

Answers

Answer:

number increased by ten. ... y = x + 0.25.

Step-by-step explanation:

finish this question fast

Answers

Answer:

B. -3d + 47.25

Step-by-step explanation:

Each of them has $15.75

Each spent $d

Amount each still has = 15.75 - d

Therefore, total amount the 3 of them has = 3(15.75 - d) = 3*15.75 - 3*d

= 47.25 - 3d

Which is also am equivalent of -3d + 47.25

Which expression is equivalent to 1/5×15: 5÷15, 1÷5, 15÷5, 15÷1

Answers

15/5, the third one 15/5 is 3 and 1/5x15 is 3

Answer:

the question is not valid with "obj."

Which critical thinking issue is most relevant to the following situation:
A survey asks the following: Should the President have the line item veto to eliminate waste?
self-interest study
O assumed accuracy from overly precise numbers
voluntary response bias
Ononresponse bias or missing data
perceived lack of anonymity
loaded or leading question

Answers

Answer: loaded or leading question

Step-by-step explanation:

Loaded or leading questions aim to elicit a particular response from the respondents by including an assumption that makes people feel bad or good if they answer in a certain way. It essentially plays on their emotions and ideals.

The question in the survey is a loaded question because in saying/assuming that the veto will be able to eliminate waste, it makes people more likely to vote in the affirmative as they would want the president to either get rid of waste or would feel bad if they did vote for such an environmental endeavour.

PLEASE HELP !!! ILL GIVE BRAINLIEST!! *DONT SKIP* ILL GIVE 40 POINTS.

Answers

Answer:

5.5

Step-by-step explanation:

57-29.5 / 10-5 = 5.5

Answer:

5.5

Step-by-step explanation:

The rate of change of a relationship is the ratio of corresponding changes in value. Symbolically, we indicate a change with the greek letter Δ (pronounced "delta"). A change in x is written Δx ("delta eks") and a change in y is written Δy ("delta why"). We're looking for the ratio Δy/Δx ("delta y over delta eks").

Mathematically, Δx and Δy are the differences between two corresponding x an y values. To pick these, we can take any two rows in our table. Let's pick rows 4 and 2, nice whole numbers:

[tex]\Delta{x}=20-10=10\\\Delta{y}=112-57=55\\\Delta{y}/\Delta{x}=55/10=11/2=5.5[/tex]

We can confirm that this holds for every other pair, too - picking rows 2 and 1 as an example:

[tex]\Delta{x}=10-5=5\\\Delta{y}=57-29.5=27.5\\\Delta{y}/\Delta{x}=27.5/5=275/50=11/2=5.5[/tex]

what is 14365 round to the nearear hundred​

Answers

Answer:

a. 2 – 8 - [- 4 – (-6 + 3 -9)] X ( -10 ÷2) suprimir los signos de agrupacion

Step-by-step explanation:

A standard deviation of 10 values is 8.19. You add 5 points to each score in the sample. The standard deviation for the new sample is:

Answers

Answer:

8.19

Step-by-step explanation:

Adding 5 points to each score in the sample has no effect on the standard deviation. The standard deviation remains the same and constant.

Therefore, the standard deviation for the new sample is 8.19

You can use the fact that standard deviation is a measure of variation.

The standard deviation of the new sample will be same as the old standard deviation, which is 8.19

What does standard deviation measure?

Standard deviation measures how much the data points vary or disperse from the mean of the data.

The standard deviation is calculated as:

[tex]\sigma = \sqrt{\dfrac{\sum (\overline{x} - x_i)}{n}[/tex]

How to know the standard deviation of the new sample if each score was increased by 5 points?

Since each score was increased by 5 points, we have the mean increased by  5 point too

[tex]\overline{x} = \dfrac{1}{n}\sum(x_i) \\\\x_i -> x_i + 5\\\\\overline{x} = \dfrac{1}{n}\sum(x_i + 5) = \dfrac{5n}{n} + \dfrac{1}{n}\sum(x_i) = 5 + \dfrac{1}{n}\sum(x_i)[/tex]

Putting new mean and new values in the standard deviation formula, we get:

[tex]\sigma = \sqrt{\dfrac{\sum (\overline{x} + 5 - x_i - 5)^2}{n}} = \sqrt{\dfrac{\sum (\overline{x} - x_i)}{n}\\[/tex]

Thus, standard deviation won't change and will stay same as before.

Thus,

The standard deviation of the new sample will be same as the old standard deviation, which is 8.19

Learn more about standard deviation here;

https://brainly.com/question/5916717

The difference between a number and seven

Answers

Answer:

7-n

Step-by-step explanation: do you need an equation?

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