1 a) A restaurant is open 24 hours a day. The manager wants to divide the day into work shifts of equal length. The shifts w=should not overlap. All shifts durations should be a whole number of hours. Describe the different ways this can be done.



b) The manager turns on the restaurant's two neon signs at the same time. Both signs blink as they are turned o. One blinks every 9 seconds. The other sign blinks every 15 seconds. In how many seconds will they blink together again?

The equation of a line describing Carla's motion during the race is                        y = 3x - 5.        

The slope is defined as the rate of change of the y-axis with respect to the x-axis.

As we are representing y as distance in meters and x as time in seconds we can form two co-ordinates for the distance Carla covered, They are

(20,55) and (30,85).

Now to form an equation of a line we have to first determine the slope(m) and y-intercept (b).

We know slope(m) = (y₂-y₁)/(x₂-x₁).

∴ Slope(m) = (85 - 55)/(30 -20).

= 30/10.

= 3.

Now, The equation of this line can be written as slope intercept form as        y = mx + b.

55 = 3(20) + b.

b = -5.

So, y = 3x - 5 is our required equation of this situation represented by a line.

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The number that is divisible by 11 is 154451

The divisor is given as

Divisor = 11

Using the test of divisibility rule, numbers are divisible by 11 are palindrome numbers

This means that the numbers remain the same when reversed

From the list of options, 154451 is a palindrome

Hence, the number that is divisible by 11 is 154451

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Answer:

D They will attract each other

Answer:

-31

Step-by-step explanation:

2 negatives make a positive so you have -51-17+37 which equals -31

Answer:

Step-by-step explanation:

World Population = 7,750,000,000

7,750,000,000 / 7 (for amount of days in a week) = 1,100,00,000 people born on Sunday (roughly)

The printer will print  8photos in 4min and 18photos in 9min ; 12 photos in 6min and 20 photos in  10min .

In the question

it is given that , Printer takes 3min to take 6 photos

So , in 1 min it will print 6/3 photos .

In 1 min printer prints 2 photos

Hence in 4 min printer will print 2+2+2+2 = 8photos.

and in 9 min printer will print 2+2+2+2+2+2+2+2+2 = 18photos

Given in the question

that printer prints 6photos in 3min

So , it will print 1 photo in 3/6min

For printing 1 photo printer takes 1/2 min.

Hence for printing 12 photos it will take 12*(1/2) = 6 min

and for printing 20 photos it will take 20*(1/2) = 10min

Therefore , the printer will print  8photos in 4min and 18photos in 9min ; 12 photos in 6min and 20 photos in  10min .

The complete table is shown below

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If the relation has its domain in the x-axis and its range in the y-axis, then the relation is not a function. But if its domain is in the y-axis and its range is in the x-axis, then the relation is a function.

Relations are characterized by three elements:

A relation is a function if and only if each element of the domain is related only to one element of the range. It must be mentioned that the answer may differ depending on what we assume as domain and range.

If the x-axis represents the domain and the y-axis represents the range, then relation is not a function, but if the x-axis is the range and the y-axis is the domain, the given relation is a function.

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Answer:

3.9

Step-by-step explanation:

im not sure :<

Answer:

9/25 = 0.36 = nine twenty-fiths

Step-by-step explanation:

The algebraic expression which shows how much Maria paid for the tickets including the additional fee is y = 20(5) + 2(5)

let

Total amount Maria paid for the tickets = Cost of each tickets(Number of tickets Maria bought) + Additional fee per tickets(Number of tickets Maria bought)

y = 20(5) + 2(5)

y = 100 + 10

y = $110

Therefore, the algebraic expression which shows how much Maria paid for the tickets including the additional fee is y = 20(5) + 2(5)

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The nouns in the sentence is "family" and "street"

Nouns are the naming word, it is used to name anything in this world. we use noun to refer person, place and things. A noun is a word that generally functions as the name of a specific object or set of objects, such as living creatures, places, actions, qualities, states of existence, or ideas

In the given sentence " A large family once lived across the street"

the nouns are " family" and "street"

Final answer, family and street are the nouns in the given sentence.

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Answer:

-√26, 5.15, 5.2, 16/3

Step-by-step explanation:

-√26 = -5.09

16/3 = 5.33

Using the Empirical Rule, 68% of the students have grade point averages that are between 2.12 and 2.98.

It states that, for a normally distributed random variable:

For this problem, we have that:

Hence 68% of the students have grade point averages that are between 2.12 and 2.98.

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Given the point and slope, the equation of the line is in slope-intercept form is y = (-2/3)x + 2

The formula for equation of line is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given the data in the question;

Point ( 9, -4 )

Since already have the slope, we determine the y-intercept b by substituting the given values into the equation of line formula.

y = mx + b

-4 = (-2/3)9 + b

Solve for b

-4 = -18/3 + b

-4 = -6 + b

b = -4 + 6

b = 2

Now that the values of slope m and y-intercept b is known, plug these into y = mx + b to determine the equation of the line.

y = mx + b

y = (-2/3)x + 2

Given the point and slope, the equation of the line is in slope-intercept form is y = (-2/3)x + 2

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Answer:

24 dogs

Step-by-step explanation:

36 divided by 24= 1.5

1.5 times 16=24

so 24 dogs :)

The ordered pairs in which each of the least corrupt countries corresponds to a corruption rating will be {(A,9.7),(B,9.6),(C,9.6),(D,9.1)}.

It should be noted that an ordered pair is the pair of two numbers or variables that are written inside brackets and are separated by a comma.

An example, (1, 2) is an ordered pair. It should be noted it can represent a point. In this case, the pair should be in the form of:

(Country, corruption rating)

(A, 9.7)

(B, 9.6)

(C, 9.6)

(D, 9.1)

Therefore, this will be {(A,9.7),(B,9.6),(C,9.6),(D,9.1)}.

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It should be noted that using compensation to multiply 4 × 38 will be A. (4 × 40) - (4 × 2) = 152.

Based on the information, it should be noted that the compensation strategy for multiplication has to do with the multiplication of numbers based on the multiple of 10 and the number will then be subtracted afterwards.

Therefore, it should be noted that using compensation to multiply 4 × 38 will be:

= (4 × 40) - (4 × 2)

= 160 - 8

= 152.

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Answer:

d) -32 = 2(3p - 6) is false.

Step-by-step explanation:

A) 6 = 2y - 4

→ 6 = 2(5) - 4

→ 6 = 10 - 4

→ [ 6 = 6 ]

So, the equation is true.

B) 4(b + 5) = 40

→ 4(5 + 5) = 40

→ 4(10) = 40

→ [ 40 = 40 ]

So, the equation is true.

C) (1/5)x + 16 = 17

→ (5/5) + 16 = 17

→ 1 + 16 = 17

→ [ 17 = 17 ]

So, the equation is true.

D) -32 = 2(3p - 6)

→ -32 = 2(15 - 6)

→ -32 = 2 × 9

→ [ -32 ≠ 18 ]

So, the equation is false.

Answer:

20

Step-by-step explanation:

20 yenara they hain aahe aahe

my answer is 20 i guess........

Using the concept of linear equation we can conclude that the number of marbles sold by Mark is 23 and the number of marbles sold by Don is 72.

An equation is said to be linear if the highest power of the variable is 1. It is also called as  one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variable is x and A is the coefficient of x, while B is a constant.

Let the number of marbles Mark sells be ‘x’

then, the number of marbles Don sells can be given by ‘3x+3’

Total number of marbles sold=95

We can for equation by adding the number of marbles Mark sells and the number of marbles Don sells  to the total number of marbles sold. The equation formed is

x+3x+3=95

4x+3=95

4x=95-3

4x=92

x=23

The number of marbles Mark sells =23

Number of marbles Don sells=3x+3

Substituting value of ‘x’

Number of marbles Don sells=(3×23)+3

Number of marbles Don sells=69+3

Number of marbles Don sells=72

Thus, the number of marbles sold by Mark is 23.

While, the number of marbles sold by Don is 72.

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Answer:

A: 24

B: 3

C: -1

D: 12

Step-by-step explanation:

Answer:

If Tina buys a bag containing 9 pounds of dog food, it will last for 9 days.

Step-by-step explanation:

Give Brainliest if I helped!

Answer:

u = -2

Step-by-step explanation:

Group

[tex]6u+9u+18=-12[/tex]

Add similar elements in the equation

[tex]15u+18=-12[/tex]

Subtract 18 from all sides

[tex]15u+18-18=-12-18[/tex]

Simplify this

[tex]15u=-30[/tex]

Divide all sides by 15

[tex]\frac{15u}{15}=\frac{-30}{15}[/tex]

Divide 15 by 15, removing u

[tex]\frac{15}{15} = u[/tex]

Transform [tex]\frac{-30}{15}[/tex] by using the fraction rule.

[tex]-\frac{30}{15}[/tex]

Divide 30 by 15.

[tex]\frac{30}{15} = 2[/tex]

Thus,

u = -2

1) The composite function is f ° g (x) = x / (2 + x). The domain of the composite function is all real numbers except - 2 and the range of the composite function is all real numbers except 1.

2) The composite function is g ° f (x) = 2 · x + 1. Both the domain and the range of the composite function is all real numbers.

Let a, b be functions, there is a composition when the independent variable of one of the functions is substituted by the other function. For instance,

a ° b (x) = a [b (x)]

The domain of a function is the set of x-values such that the function exists, whereas the range of it is the set of y-values.

If we know that f(x) = 1 / (2 · x + 1) and g(x) = 1 / x, then the composite functions and their domains are:

f ° g (x)

f ° g (x) = f [g (x)]

f ° g (x) = 1 / [2 · (1 / x) + 1]

f ° g (x) = 1 / [(2 + x) / x]

f ° g (x) = x / (2 + x)

The domain of the composite function is all real numbers except - 2 and the range of the composite function is all real numbers except 1.

g ° f (x)

g ° f (x) = g [f (x)]

g ° f (x) = 1 / [1 / (2 · x + 1)]

g ° f (x) = 2 · x + 1

Both the domain and the range of the composite function is all real numbers.

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The scientific notation of the number 140.02943 is 1.4002943 × 10⁻².

The given number is;

140.02943

Shift the 2 decimal to the left of the decimal; because of this, the resultant number will get multiplied by  10⁻².

=  1.4002943 × 10⁻²

Thus, the number in the scientific notations will be written as;  1.4002943 × 10⁻².

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The correct question is-

Write scientific notation of -

140.02943

Answer: 6

Step-by-step explanation: How do you find a range?

You can find the range from numbers by subtracting the highest number from the lowest.

Here we have 7, 1, 7, 2, 1, 3, 4, 3.

You can put these in order:

1, 1, 2, 3, 3, 4, 7, 7.

Our highest number is 7 and our lowest is 1.

7-1=6.

6 is your range.

Answer: The star is 2 quadrillion( 1 followed by 15 zeroes) and 301 trillion( 1 followed by 12 zeroes) miles away from Earth. To shorten this into scientific notation(the format used to write large numbers) is: 2.301 x 10^15.

Step-by-step explanation: First, find the exact value of the units of measurement, which in  this case is light years. To do so, your best choice would be to separate the equation given for light years. (Note: the line through the middle is just to separate two very similar series of steps.)

1. 5.9 x 10^12 into 5.9 x (10^12)

2. 10^12 = 1,000,000,000,000. 10^12 is the same as adding 11 zeroes since it is multiplying by tens, not 12 zeroes since there is already a zero on the ten. This number is one-trillion(we will shorten this number to 1T).

3. 5.9 x 1T = 5.9 T. Don't get nervous of the big numbers, this is the same as doing 5.9 x 1 and then adding a name afterwards. Now that we have our number, we must remember the question is asking for miles, so keep in mind this large number is the miles.

4. 5.9T --> 5.9 | T Take off the T from 5.9T for now to make this problem a little simpler for this next part.(Note: the | is a separator)

------------------------------------------------------------------------------------------------------------- 5. 3.9 x 10^2 into 3.9 x (10^2)

6. 10^2 = 100. 10^2 is the same as multiplying adding one zero to the ten. This number is one-hundred.

7. 3.9 x 100 = 390. Please remember that this step is to find the number of light years away from the Earth.

8. 390 x 5.9 = 2301. This is the number of lightyears times the number of miles without the zeroes. The next step is to add the zeroes which brings the number into trillions.

9. 2301 | T --> 2301T. Next is to simplify this number, since every zero  after 3 makes the number into a different name, this number is now has 15 zeroes. This number(one-quadrillion) will be shortened to Qu.

10-ish. 2301T = 2.301Qu. This is the name of a number with 15-17 zeroes.

10. 2.301Qu = 2.301 x 10^15. This is just turning the number into scientific notation.

Done!

The hotel should order 39000 bars of soap if the hotel goes through on an average of 750 soaps each week.

In everyday terms, an average is one number chosen to represent a list of numbers; it is often the sum of the numbers divided by the number of numbers in the list (the arithmetic mean).

Average is calculated by dividing the sum of the data by the frequency of the data.

Average=sum ÷ frequency

For example if the average of the data set {1,2,3,5,10}=(1+2+3+5+10)÷5=21÷5=4.2

Now for the given question average is given as 750 bars of soap.

We know that there are 52 weeks in a year.  ∴ frequency=52

Hence sum of all the averages will give the total number of soap ordered by the hotel in a year.

Sum=average × frequency

or, sum=750 × 52

or, sum=39000 bars of soap.

hence the hotel orders 39000 bars of soap in one year.

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Figures with at least 4 lines of symmetry are:

So, according to the given image, we can say that circle, square, rectangle, and oval can have at least 4 lines of symmetry.

Therefore, figures with at least 4 lines of symmetry are:

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