Create a

number line and plot the decimal

numbers.

0. 75, 0. 279, 1. 008, 0. 44, 0. 705

When 4 nightstands are sold the profit is $1800 since the number of nightstands sold is directly proportional to the profit.

The profit is defined as difference between the cost price and sell price for a product.

A directly proportional relationship means that if two variables x and y are proportional to one another then there exist a constant k such that x = y × k .

The graph of a directly proportional equations is a straight line passing through the origin.

Given that the profit is $900 for 2 sold nightstands, $3600 for 8 night stands and $4500 for 10 sold nightstands.

Now this relationship is directly proportional.

So the constant is given by k=900/2=4500/10=3600/8=450

Hence the profit for selling 4 night stands is 450 × 4 =$1800

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Naomi's burger shack sold a total of 484 hamburgers today .Then  121 cheeseburgers were sold and 363 hamburgers were sold

Naomi's burger shack sold a total of 484 hamburgers today.

three times as many hamburgers were sold without cheese as were sold with cheeseburgers

how many cheeseburgers were sold?

according to the question

Hamburgers (H) + cheeseburgers (C) = 484

C + H =  484

H = 3C

we can solve these equation

C+ 3C = 484

4 C= 484

C = 121

then we can find H by putting the value of C

H = 3* 121 = 363

So, 121 cheeseburgers were sold and 363 hamburgers were sold

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Length of segment 'cd' = 12 units

Given:-

'ol' is the mid-point of line segment 'cd'

'cl' = 13x + 8

'ld' = 23x - 4

We have to find the length of segment 'cd'.

Since the point 'ol' is the median to the segment cd then two expressions given 'cl' and 'ld' must add up to 'cd'.

'cd' = 'cl' + 'ld'

'cd' = (3x - 6) + (7x - 22)

'cd' = 10x - 28

- To determine the value of x we can also say that 'cl' and 'ld' must be equal because 'ol' is the common mid-point on the line segment 'cd'. So we can write:

'cl' = 'ld'

3x - 6 = 7x - 22

22  - 6 = 7x - 3x

       16 = 4x

        x = 4 units

- Now substitute the value of x in the expression developed for 'cd' as follows:

'cd' = 10x - 28

'cd' = 10 × 4 - 28

cd = 40 -28

'cd' = 12 units.

Therefore, the length of segment 'cd' is 12 units.

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The isolated value of h is found to be V/πr²

The three-dimensional solid shape of a cylinder is made up of two parallel bases connected by a curved surface. These bases have the shape of a spherical disc. The axis of the cylinder is a line drawn through the centre or connecting the centres of two circular bases. The density of a cylinder is determined by its volume, which represents how much material may be immersed in it or carried inside of it. The formula πr²h, where r is the radius of the circular base and h is the height of the cylinder, determines the volume of a cylinder. Any substance that can fill the cylinder consistently with liquid or another material may be used as the component.

According to given formulae:

V=πr²h

On dividing both side with πr² we get

⇒V/πr²=πr²h/πr²

(Solving R.H.S)

⇒h=V/πr²

Therefore, the value of h in the given question is V/πr²

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Answer:

P

Step-by-step explanation:

the fancy looking 'p' in the corner tells you what the plane is labeled

Answer: We have 4.5 and 7 as intercept on y-axis

Step-by-step explanation: this is just what my teacher has told my class

Answer:

Step-by-step explanation:

The equation is written in slope-intercept form, y=mx+b.

In slope-intercept form, the slope, m, is always the number before x.

Therefore the slope is 4.5.

[tex]\Large\overbrace{\underbrace{\boldsymbol{\rm{Reflection - RoSe}}}}^\star_\star[/tex]

Answer:

que aa que quiere uste puntos yo tmbb ayuda

y = 2 + 0.0357x shows the relationship between the height of the lemons and days, it will take 16 weeks for the lemon tree to reach 6ft.

Day 0 the plant is 2ft

Every 7 days the plants increase by 3 inches

Recall that, 1 inch = 0.0833 feet

Therfore  3 inches = 3 × 0.0833 = 0.2499ft

The plant increases in  by 0.2499/7 daily

0.25/7 = 0.0357

Let x be the days and the y be plant height, the plant height and the number of days can be related by

y = 2 + 0.0357x

Days (x)

0

7

14

21

24

height (y)

2

2.25

2.50

2.75

3.00

b) when the tree will by 6ft, y = 6ft

      y = 2 + 0.0357x

      6 = 2 + 0.0357x

Collect like terms

6-2 = 0.037x

4 = 0.0357x

x = 4/0.0357

x = 112.04 days

x = 112 days

Converting it to weeks 112/7 = 16 weeks, it will take 16 weeks for the plant to grow to 6ft.

The growth of the plant is linear.

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Answer:

[tex]72cm[/tex]

watch the cm sign too

Step-by-step explanation:

[tex]area = s2[/tex]

I think you should find the square root in order to get the length of one side

[tex] \sqrt{64} [/tex]

answer is 8, then you multiply 8 by 9 to get the length of one side of the board

[tex]9 \times 8[/tex]

[tex] = 72cm[/tex]

that should be your final answer

Answer:

6 (r + 9)

Step-by-step explanation:

6 times the sum of r and 9 means 6 (r + 9)

Yes. The Law of Detachment dictates that Catalina employ Speedy. The conclusion should come naturally if the hypothesis is correct.

According to the Law of Detachment, in order for our desires to manifest in the physical reality, we must dissociate ourselves from the outcome or result. For things to happen after we have done our part, we must learn to let go of the result. And when we do let go, things start to happen. They might not arrive in the manner we anticipated, but they do. Why is letting go so difficult? The most potent and difficult law is the Law of Detachment. The ability to accept things as they come, when they arrive, and in whatever form they take and to learn to be happy no matter what is closely tied to the law of detachment.

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Answer:

Arrow

Because I used a word calc that took me like 5 mins to find lol

Answer:

Step-by-step explanation: Hope my explanation  made sense

Answer:

Thank you, if you need more clarification on the system of parallelograms, let me know.

If the expression is log a², then the expansion of this expression looks like 2 log a.

Given that the expression is log a².

We are required to find the expansion of the expression.

The change of base formula gives the way to re-write a logarithm operation as a fraction of logarithms with a new base.

We know that log [tex]a^{b}[/tex]=b log a.

The expression is log a². So,

log a²=2 log a   (Power of a will come in front of log)

Hence if the expression is log a², then the expansion of this expression looks like 2 log a.

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The result of simplifying each number 1000⁴/₃ / 100³/₂ using the exponent rules is: 10

To solve this exercise we have to resolve algebraic operations following the exponent rules.

(1000⁴/₃) / (100³/₂)

Base: 1000 = 10³

Base: 100 = 10²

As 1000 is the same as 10³ and 100 is the same as 10², we get:

(10³)⁴/₃ / (10²)³/₂

Using the power of a power rule that indicates that: the exponent result will be the multiplication of these exponents, we have:

10³*⁴/₃ / 10²*³/₂

10¹²/₃ / 10⁶/₂

10⁴ / 10³

Using the quotient rule that indicates that: the exponent result will be the subtraction of these exponents, we have:

10⁽⁴⁻³⁾

10

In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.

Example: 3² = 3*3 = 9

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Answer:
a= A∪B

b= A'

c= c

d= b

(II) 5= {2,3,4,5,6,7,8,9}

hope it helps!

According to the solving Mrs. Weatherford spends 15 percent of each weekday  25 hours and 20 minutes in her car.

A % is a relative figure that represents the hundredth part of any amount. One percent (symbolized 1%) is one hundredth part; consequently, 100 percent denotes the complete amount and 200 percent defines twice the supplied amount.

The most fundamental use of percentages is really to compare one number to another, with the second number rebased to 100. Assume we want to know the number among employed females as both a percentage of all employees.

Mrs. Weatherford drives 15% of the time during the week.

We know that:

1 week  = 7days

1day  = 24 hours

So 7 days  = 7 x 24

                  = 168 hours

Mrs. Weatherford drives 15% of the time during the week.

So,

(168/100) * 15

1.68 * 15

25.2 hours

According to the solving Mrs. Weatherford spends 25 hours and 20 minutes in her car.

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Answer:

calculate the area of the triangle first.

12×7.5= your answer

Answer:

12×7.5= your answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

sara has to spend at the farmers market

Step-by-step explanation:

Using long division 2/3 is found to be 0.6667, the value is discontinued by approximating a 6 to 7

3 | 2 =

3 | 2 = 0.

3 | 20 = 0.

3 | 20 = 0.6        20 - 3 * 6 = 20 - 18 = 2

3 | 2 = 0.6

3 | 20 = 0.6

3 | 20 = 0.66      20 - 3 * 6 = 20 - 18 = 2

3 | 2 = 0.66

3 | 20 = 0.66

3 | 20 = 0.666      20 - 3 * 6 = 20 - 18 = 2

The procedure continues unending to get 0.666666666.........

Hence we say that 2/3 = 0.6666...≅ 0.6667

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The measure of variability easiest to compute, but seldom used as the only measure, is the range.

The range is the term that is used to refer to the difference that lies between the highest value and the lowest value in a data set while computing a statistical data.

The measures of variability are 4 in number. These are

Hence we can conclude that The measure of variability easiest to compute, but seldom used as the only measure, is the range.

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The answer of the given expression is 77 .

We have given an expression 68-5-(13-27)=77

First simplify LHS = 68-5-(13-27)            ...(1)    

According to BODMAS first solve the bracket term .

On solving the bracket term , we get

13 - 27 = - 14

Now put this value in equation (1) , we get

   [tex]LHS = 68-5-(-14) \\LHS=68-5+14\\[/tex]

Now , apply addition and subtraction operation

    [tex]LHS = 63+14\\LHS=77[/tex]

as RHS = 77 = LHS

Hence , the evalution is correct.

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The quadratic equation is an equation of the form ax^2 + bx + c =0. Note that the quadratic equation is a polynomial of degree two. This implies that the highest power of x in the quadratic function is power two.

The quadratic formula is given by x = -b ± √b^2- 4ac/2a. The discriminant can be used to obtain the nature of the roots of a quadratic equation. If the roots are real and positive we would have a positive discriminant. If the value of the discriminant is negative then it implies that the roots of the equation are imaginary.

The discriminant can be given as √b^2 - 4ac. The statements that are true about the quadratic formula are;

x = -b/2a gives the line of symmetry

√b^2- 4ac/2a gives the maximum and the minimum points of the quadratic equation

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There will be a 6% rise using the 0.9646 multiplier, then a 9% reduction.

Simply said, a multiplier is a factor that increases the basic value of another object. For example, a 2x multiplier would double the initial value. On the other hand, a multiplier of 0.5x would actually cut the basic amount in half. In finance and economics, multipliers come in a wide variety.

Say that Number is 100N.

growth of 6%

= (6/100)100N

= 6N

Number following reduction: 100N + 6N = 106N

9% lessening

= (9/100)106N

=954N/100

= 9.54N

Final result after reduction = 106N - 9.54N

=96.46N

=9646N/100

= 9646 * 100N/100 * 100

= 9646 * 100N/10000

= 0.9646 * 100N

There will be a 6% rise using the 0.9646 multiplier, then a 9% reduction.

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Answer:10

Step-by-step explanation:

Applying the product rule for exponent numbers, 2⁴ . 2⁵ = 2⁴⁺⁵ = 2⁹

Recall the rules of exponent operations:

Note that the first 3 rules use the same base. If there are more than 1 base number, then group the exponent that have the same base first.

Example:

[tex](2^{3}.3^{-2}) : (2^{-3}.3^{2})=( 2^{3}:2^{-3}).(3^{-2}:.3^{2})[/tex]

Tips: To simplify exponent numbers, sometimes it is useful to modify the base whenever possible.

Example:

8².2⁻⁵ = (2³)². 2⁻⁵ = 2⁶. 2⁻⁵ = 2⁶⁻⁵ = 2¹ = 2

The given problem:

Simplify  (2⁴) (2⁵)

Use the product rule:

2⁴ . 2⁵ = 2⁴⁺⁵ = 2⁹

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Answer:

-5

Step-by-step explanation:

2-(+7)

since the negetive is in front of the parenthesis the 7 turns into a negative

2-7

Seven is greater than two which means that the number will be in the negative section

-5

The perimeter of the triangle will be the addition of all its sides.

It should be noted that the perimeter of a triangle is calculated by adding the values of all its sides

Die example, of the sides are 4cm, 7cm and 5cm. The perimeter of the triangle will be:

= 4cm + 7cm + 5cm

= 16cm

Based on the information given, it's important to add the equations together and equate them to 78 to get the value of AB.

Note that an overview was given as the question is incomplete.

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Answer:

The flow rate of dopamine per hour is 15 mg and the duration is 9.3 hours.

Step-by-step explanation:

It is given that A solution consisting of 70 mg of dopamine in 70 mL of solution is administered at a rate of 15 mL/hr.

A solution consisting of 182 mg of dopamine in 26 mL of solution is administered at a rate of 10 ​mL/hr.

Now, Let's calculate the flow rate of dopamine per hour;

=> Flow rate of dopamine per hour = (70 × 15)/70

=> Flow rate of dopamine per hour = 1050/70

=> Flow rate of dopamine per hour = 15 mg

Further, let's calculate how much the solution should last for a patient that is prescribed to receive 140 mg of dopamine;

=> Prescription = 140 mg

=> Flow rate of dopamine per hour = 15 mg

=> Duration = Prescription/Flow rate of dopamine per hour

=> Duration = 140/15

=> Duration = 9.3 hours

Therefore, the flow rate of dopamine per hour is 15 mg and the duration is 9.3 hours.

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