Amanda Roberts works a Monday through Friday work week at a rate of $8.75 per hour. She takes a 1- hour lunch break. If she clocks in each day at 8:45 am and leaves at 5:15 pm, what is her total pay for the week?

Answer:

The reasonable domain is less extensive that the mathematical domain.

Step-by-step explanation:

The reasonable domain for the function is the set of all possible values of the independent variable (in this case x) that make sense to the situation in which the function is being applied.

For the function [tex]f(x)=16.4x+2[/tex], the mathematical domain is the set of real numbers.

Now, in the function the independent variable ''x'' represents the distance (in miles) between the job site and the office. We know that we can't have a negative distance in real life. Therefore, we need to restrict our mathematical domain into the reasonable domain by eliminating all the negative numbers from the set of all real numbers.

Our new domain (reasonable domain) is

{x ∈ IR : x ≥ 0}

The reasonable domain is less extensive that the mathematical domain.

Answer:

1883 mi is the total distance the model airplane flew.

the average speed is about 50 mi/h

Step-by-step explanation:

Answer:

liked = 45 ; disliked = 18

Step-by-step explanation:

Let the number of songs he liked be x & disliked be y.

The ratio of x & y :-

[tex] \frac{x}{y} = \frac{5}{2} \\ = > 2x = 5y \: \: \: \: [/tex]

And total number of songs he listened = 63

Then, x + y = 63...................eqn.1

=> x = 63 - y

Substituting the value of x in eqn. 2x = 5y gives :-

2(63 - y) = 5y

=> 126 - 2y = 5y

=> 7y = 126

=> y = 18

Substituting the value of y in eqn.1 gives

x = 63 - 18

= 45

Hence no. of songs he liked = 45 & disliked = 18

Answer:

The Sandbox must be 19x19 for the area to be 361.

Step-by-step explanation:

(19x19=361)

The length of the sandbox will be 19 feet.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the square in a two-dimensional plane is called the area of the square.

Given that Mr. Drew wants to build a square sandbox with an area of 361 square feet.

The length will be calculated by using the area formula for square;

Area of square = Length x width

Then the area of the square can be written as;

Area of square = ( Length )²

361=  ( Length )²

( Length ) = √361

( Length ) = 19feet

Therefore, the length of the sandbox will be 19feet.

To know more about an area of the square follow;

brainly.com/question/13389992

#SPJ2

Answer: Yes

Step-by-step explanation:

???

Answer:

No.

Step-by-step explanation:

If we line up the digits we see that:

  80,000,000

+           6,200

= 80,006,200

Answer:

False

Step-by-step explanation:

82 - 21 + 10 = 61 is false 82 - 21 + 10 = 71

Answer:

[tex]Noon\ Temperature = 7F[/tex]

Step-by-step explanation:

Given

Initial Temperature = -5F

Change (by noon) = 12 degrees

Required

Determine the temperature at noon

The temperature by noon is calculated as thus;

[tex]Noon\ Temperature = Initial\ Temperature + Change[/tex]

Substitute values for Initial temperature and change

[tex]Noon\ Temperature = -5F + 12[/tex]

[tex]Noon\ Temperature = 7F[/tex]

Hence, the temperature at noon is 7F

Answer:

The range of the data is 19.

Step-by-step explanation:

To solve this problem, we must remember that to calculate the range, we subtract the smallest data point in the set from the largest data point.  In this case, the largest number is 25 and the smallest number is 6.

Therefore the range is:

25 - 6

= 19

Hope this helps!

Answer:

The range is 19

Step-by-step explanation:

6, 8, 16, 22, 8, 20, 7, 25 is

List the numbers from smallest to largest

6,  7,8,   8 ,16,20, 22,25

The range is the largest number minus the smallest number

25 - 6

19

The range is 19

Answer:

The population was 3 times greater in 2010 than in 1970.

Step-by-step explanation:

To find how many times greater the population was, you divide the population from 2010 by the population in 1970.

[tex]\frac{2*10^{7} }{6.7*10^{6} } = 2.985[/tex] ≈ 3

Hope this helps!

population was 3 times greater in 2010

Answer:

Step-by-step explanation:

Total of banana

symbols=4.5+6+3+2.5=16

total bananas=16×6=96

Answer: the answer is false

Step-by-step explanation:

i just took the test :)

Answer:

This is false

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

.7

⅔= .666666

⅝=.625

65%= .65

.625<..65<.666<.7

Answer:

Sam is correct since he followed the rule of powers.

Reina is incorrect.

Step-by-step explanation:

Rule of a power raised to a power.

[tex] (a^m)^n = a^{mn} [/tex]

To raise a power to a power, multiply the powers.

Sam is correct since he multiplied the exponents correctly.

Answer: the answer is when the wheel is at 70.43° after 7.82seconds from when you ride on it

Step-by-step explanation:

Rule of 3

65ft center meaning the top point at 90° will be at 115ft since the diameter of the wheel is 50ft

If the 90° gets you at 115ft, at what degree will you reach 90ft?

90°----115ft

X°------90ft

(90x90) ÷ 115 = 70.43°

Then if 360° takes 40seconds which is the complete turn

360°----40s

70.43°--X

(70.43 x 40) ÷ 360 = 7.82s

Answer 2/3

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

A . 0 it is correct because 0 is an integer

B .It seems like rational number but it is not simplified yet so -18 \ 2= -9

C .

[tex] \sqrt{9} = 3 \: so \: it \: is \: also \: integer[/tex]

D . 4\5 it is decimal so it is rational number not integer

I hope u like it

Answer:

18.18% error

Step-by-step explanation:

Use the percent error formula,

% error = | (measured - accepted) / accepted | x 100

Plug in the values we know:

% error = | (180 - 220) / 220 | x 100

% error = | - 0.18 | x 100

% error = 18.18% error

Answer:

2400 eggs

Step-by-step explanation:

12*200=2400

Answer:

1 mile/hr

Step-by-step explanation:

Let the Speed of the boat still in water = a

Speed of the current = b

We know from this formula that speed = distance/time

Hence,

A canoe traveled Downstream with the current and went a distance of 15 miles in three hours.

Downstream = a + b = 15/3

a + b = 5 .........Equation 1

On the return trip, the canoe traveled Upstream against the current. It took 5 hours to make the return trip.

Upstream = a - b = 15/5

a - b = 3 ..............Equation 2

Combining both Equation together

a + b = 5 .........Equation 1

a - b = 3 ..............Equation 2

Subtracting Equation 2 from Equation 1

2b = 2

b = 2/2

b = 1miles/hr

Since b = speed of the current which can also be called rate of the current, the rate of the current = 1 miles/hr

Answer:

-3/2

Step-by-step explanation:

The average rate of change is synonymous to the slope.

So, to find the average rate of change from the interval x=-2 to x=2, first find the y-values at x=-2 and x=2.

At x=-2, we can see that y is 4. Thus, we have (-2,4).

At x=2, we can see that y is -2. Thus, we have (2,-2).

Now, use the slope formula. The formula for slope is:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let (-2,4) be x₁ and y₁ and let (2,-2) be x₂ and y₂. Therefore:

[tex]m=\frac{-2-4}{2--2}[/tex]

Simplify:

[tex]m=\frac{-6}{4}[/tex]

Reduce:

[tex]m=-3/2[/tex]

So, our average rate of change from the interval x=-2 to x=2 is -3/2.

Answer in fraction form = 1/20

Answer in decimal form = 0.05

Answer in percent form = 5%

These are three ways to express the same thing

=============================================================

Explanation:

Assume the gumball machine only has 5 gumballs, one of each color. The probability of getting yellow is 1/5 since there is one that is yellow out of 5 total.

The probability of getting a lion rubber band is 1/4 for similar reasoning as above.

Because the two events (getting yellow, getting a lion) are independent, this means we can multiply the two probabilities to get (1/5)*(1/4) = 1/20

Use your calculator to see that 1/20 = 0.05 which converts to 5% when you move the decimal point over 2 spots to the right.

Answer:

Q 7. First=33 Second=35 Third=37

Q 8. First=46 Second=48 Third=50

Step-by-step explanation:

Question 7. Find three consecutive odd integers whose sum if 105.

Let x=the first number (the smallest number）

Then, x+2=the second number, x+4=the third number

x+(x+2)+(x+4)=105

x+x+2+x+4=105

3x+6=105

3x=99

x=33

First=33 Second=35 Third=37

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Question 8. The sum of three consecutive even integers is 144. Find the numbers (I think so since you didn't took the whole picture)

Let x=the first number (the smallest number)

Then, x+2=the second number, x+4=the third number

x+(x+2)+(x+4)=144

x+x+2+x+4=144

3x+6=144

3x=138

x=46

First=46 Second=48 Third=50

Hope this helps!! :)

Please let me know if you have any question

4

let the number be x

so by the question , 2x+5=13

solving this we get ,

2x=13-5

2x=8

so x=4

Answer:

the number is 4

Step-by-step explanation:

let the number be ''x''

than twice the number will be 2x

now,

2x + 5 = 13

2x = 13 - 5  

2x = 8

x = 8/2    

x= 4

Answer: Slope - intercept form y = 1/7x - 1

Answer:

Holden's seed is 40 miles per hour

Step-by-step explanation:

The given parameters are;

The distance Holden drove = 110 miles

The  time duration in which Holden drove = 2 and 3/4 hours = 11/4 hours = 2.75 hours

Therefore, Holden's speed, s, can be found from the relationship;

Speed, s = Distance/time = 110 miles/(11/4 hours) = 40 miles per hour

Holden's seed = 40 miles per hour.

Answer:

Line CE

Step-by-step explanation:

Answer:

x = Y-3 over 8

Step-by-step explanation:

Y = 8x+3

Take the 3 to the other side by subtracting it

so:

Y-3 = 8x

divide 8 to get only x

x = Y-3 over 8

Answer:

Graph on the top right.

Step-by-step explanation:

A function is a relation where one domain value is assigned to exactly one range value.

In a table, there would be no values repeating in the x-column.

The graph on the top right does not repeat any x values. Therefore, it is a function.

Why the other options are not functions:

Hope this helps.