28 patients for 2 nurses as a unit rate

Answer:

a. $18.36 for 3 pizzas  :  k  = 6.12

b. $4.17 for 3 pounds of bananas .   k  = 1.39

c. $16.48 for 4 pounds of potatoes .  k  = 4.12

d. 2 cups of flour to make 24 cookie .  k  = 12

Step-by-step explanation:

PROPORTIONALITY:

Two quantities x and y are said to proportional to each other

if for x ∝ y , x = y k.

Here, k is called the PROPORTIONALITY CONSTANT.

⇒[tex]x \propto y \implies k = \frac{x}{y}[/tex]  

Now, for the given quantities:

a.  $18.36 for 3 pizzas [box]    

Here, [tex]k = \frac{x}{y} = \frac{18.36}{3}  = 6.12[/tex]

So, the proportionality constant is 6.12.

b. $4.17 for 3 pounds of bananas [box]

Here, [tex]k = \frac{x}{y} = \frac{4.17}{3}  = 1.39[/tex]

So, the proportionality constant is 1.39.

c. $16.48 for 4 pounds of potatoes [box]

Here, [tex]k = \frac{x}{y} = \frac{16.48}{4}  = 4.12[/tex]

So, the proportionality constant is 4.12.

d. 2 cups of flour to make 24 cookies

Here,  [tex]k = \frac{x}{y} = \frac{24}{2}  = 12[/tex]

So, the proportionality constant is 12.

Answer:

Jo's thinking about the number 20.

Step-by-step explanation:

9x-4=176

9x=176+4

9x=180

x=180/9

x=20

Answer: I am getting a result around the 54,800 area, so I am selecting the 55,000 HP answer.

Answer:

37769 hp

Step-by-step explanation:

from the pro tips given w ( weight of the SS Delphine + trailer + Redeye) = 3922000 + 150000 + 4451 Lbs Crr = 4076451 ibf

coefficient of rolling resistance = 0.015

Combined CDA = 1555 ft ^2

to get Ф = tan ⁻¹ ( 0.07 ) = 4.0041 degrees

To get F (w)  you will multiply it with sin Ф

= F ( w ) = 4076451 ibf * sin( 4.0041 ) = 284655.02 Ibf

to calculate F ( rr ) you will multiply it with cos Ф

F( rr) = 4076451 ibf * 0.015 * cos ( 4.0041 ) = 60997.50 ibf

the total sum of F ( force ) will be

F ( rr ) + F ( w)

= 60997.50 + 284655.02 = 352085.82 Ibf

therefore P ( power ) will be

p = 352085.82 ibf * 59 ft/s = 20773063.27 ft*ibf/s

to calculate how much horsepower the challenger will need to tow the SS Delphine will be calculated as below

HP = (20773063.27 ft*ibf/s ) * ( 1 hp / 550 ft*ibf/s ) = 37769.21 = 37769 hp  

Cost of one daylily is $2 and cost of one geranium is $4.

Step-by-step explanation:

Let,

Cost of one daylily = x

Cost of one geranium = y

According to given statement;

x+5y=22    Eqn 1

13x+y=30    Eqn 2

From Eqn 1;

x=22 - 5y

Putting this value of x in Eqn 2;

[tex]13(22-5y)+y=30\\286-65y+y=30\\-64y=30-286\\-64y=-256[/tex]

Dividing both sides by -64

[tex]\frac{-64y}{-64}=\frac{-256}{-64}\\y=4[/tex]

Putting y=4 in Eqn 1

[tex]x+5(4)=22\\x+20=22\\x=22-20\\x=2[/tex]

Cost of one daylily is $2 and cost of one geranium is $4.

Keywords: linear equation, substitution method

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Answer:

20%

Step-by-step explanation:

1.92 - 1.60 = 0.32

percentage increase = (0.32/1.60) * 100 =

0.2 * 100 = 20%

Answer: required percent increase in price=20%

Step-by-step explanation:

required percent increase in price=[tex]\frac{1.92-1.60}{1.60}[/tex]\times100

                                                       =[tex]\frac{0.32}{1.60}[/tex]\times100

                                                       =[tex]0.20\times100[/tex]

                                                      =20%

Answer:

SAS

Step-by-step explanation:

Answer:

Vertex B to vertex Y

Step-by-step explanation:

The diagram shows two triangles ABC and XYZ. These triangles are congruent by SAS postulate, because

Congruent triangles have congruent corresponding sides and angles, so translation and rotation must be completed such that

So, first, translate vertex B to vertex Y. Next, rotate ΔABC about B to align the sides and angles.

Answer:

Yeah

Step-by-step explanation:

find a formula

Answer:

9.694 years

Step-by-step explanation:

Let the investment is $P.

So, we are asked to determine the time it will grow to triple with the compound interest rate of 12%.

Let the time is y years.

So, from the formula of compound interest we can write

[tex]3P = P(1 + \frac{12}{100} )^{y}[/tex]

⇒ [tex](1 + \frac{12}{100} )^{y} = 3[/tex]

⇒ [tex](1.12)^{y} = 3[/tex]

Now, taking log both sides we get,

y log 1.12 = log 3 {Since, [tex]\log a^{b} = b \log a[/tex] }

⇒ 0.04922y = 0.477712

⇒ y = 9.694 years (Answer)

Answer:

(c) [tex]x + 2y = 8[/tex]

Step-by-step explanation:

The question is missing some important data which is necessary to solve it.

The correct question is as follows:

Which equation shows [tex]y=-\frac{1}{2}x+4[/tex] is in standard form?

(a) [tex]2x-y=8[/tex]

(b) [tex]x + 2y=-8[/tex]

(c) [tex]x + 2y = 8[/tex]

(d) [tex]2x + y = 8[/tex]

Solution:

Given equation:

[tex]y=-\frac{1}{2}x+4[/tex]

To convert the given equation to standard form.

The standard form of a linear equation is given by:

[tex]Ax+By=c[/tex]

where

A is a positive integer  and B and C are integers

We have:

[tex]y=-\frac{1}{2}x+4[/tex]

Multiply both sides by 2  to remove the fraction

[tex]2y=(-\frac{1}{2}x\times 2)+(4\times 2)[/tex]

[tex]2y=-x+8[/tex]

Adding [tex]x[/tex] both sides

[tex]x+2y=x-x+8[/tex]

[tex]x+2y=8[/tex]

∴ The standard form of the equation is ⇒ [tex]x+2y=8[/tex]

Answer:3x+18

Step-by-step explanation:

Answer:

10x

Step-by-step explanation:

Answer:

10x

Step-by-step explanation:

since they both are the same just add them and done

Answer:

39

Step-by-step explanation:

product = 2 numbers multiplied by each other

8 x 4 = 32

32 + 7 = 39

The product of two numbers is when you multiply those two numbers together.

So, the product of 8 and 4 would simply be 8 * 4=32

7 more than 32 would simply be 32 + 7=39

The answer is 39

Answer:

Silver keys = 4

Gold keys = 5

Total number of keys = 9

probability of getting a silver key = P(4/9)

Step-by-step explanation:

P(4/9) because 4 keys are silver among 9 keys. Probability is the number of chosen matter divided by the total number of matters.

Answer:

h=87/3

Step-by-step explanation:

3=87/h

h=87/3

Answer:

1/2e^x -3

Step-by-step explanation:

The resulting function after vertically stretching y = ex by a factor of 2, reflecting it across the x-axis, and shifting it down 3 units is y = -2ex - 3.

The original function is y = ex. To find the resulting function after the described transformations (vertically stretched by a factor of 2, reflected across the x-axis, and shifted down 3 units), we perform each transformation step by step.

Therefore, the resulting function after all transformations is y = -2ex - 3.

Answer:

x=4

Step-by-step explanation:

Using cross multiplication, we can simplify the equation to

-15x=-60

Then we can divide by -15 on both sides getting x=4

Answer:

Step 1) is incorrect.

Step-by-step explanation:

Answer:

Step one is the one that is wrong

Step-by-step explanation:

Cat hacker

Answer:

[tex]\displaystyle -6 > \frac{g}{-2}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{g}{-2} < -6[/tex]

The keywords are fewer than, so the inequality receives the less than symbol, NOT greater than or equal to.

** The above answer is written in reverse, which is the exact same result.

I am joyous to assist you anytime.

The word sentence translates to the inequality 'g / -2 < -6', representing the relationship where the quotient of a number g and -2 is less than -6.

Writing the word sentence 'The quotient of a number g and -2 is fewer than -6' as an inequality involves translating the words into a mathematical expression. Inequality symbols are used to show how two measurements, or in this case, expressions, are related. The quotient of a number and another number is represented by the division of those two numbers. 'Fewer than' indicates that the expression on the left side is less than (<) the expression or value on the right side.

Therefore, the statement can be translated to the mathematical inequality as g / -2 < -6. This inequality shows the relationship between the variable g and the numbers -2 and -6, with the quotient of g and -2 being less than -6.

Answer:

y = x + 2

Step-by-step explanation:

4x - 4y = -8 can be rearranged to slope-intercept form by isolating y.

[tex]4x - 4y = -8\\-4y = -8 - 4x\\y =\frac{-8-4x}{-4} \\y = 2 + x\\y = x + 2[/tex]

Answer:

The Domain D = {y ∈ R / y ≠ [tex]\dfrac{b}{2}[/tex] y ≠ 0}

Step-by-step explanation:

Let ,

f(y) = [tex]\dfrac{b^{2} - 4by }{2y^{2} - by }[/tex] - [tex]\dfrac{4y}{b-2y}[/tex]

The above function would be defined only when the denominator of anyone or both the terms of the function do not become 0 -

[tex]2y^{2} - by[/tex] ≠ 0 and b - 2y ≠ 0

∴ y(2y - b) ≠ 0                 and y ≠[tex]\dfrac{b}{2}[/tex]

Either y ≠ 0 or y ≠ [tex]\dfrac{b}{2}[/tex]

∵ The domain of a function consists of only those points where the function is defined -

The Domain D consists of all y ∈ Real numbers such that y ≠ 0 and y ≠ [tex]\dfrac{b}{2}[/tex]

Answer:

2x + y + 5 = 0

Step-by-step explanation:

y − 1 = -2 (x + 3)

y − 1 = -2x − 6

2x + y + 5 = 0

Answer:

1,495,672

Step-by-step explanation:

Build a table to track the number of adult rats, 3-week old rats (let's call them teens), and baby rats.

[tex]\left[\begin{array}{ccccc}Week&Adult&Teen&Baby\\1&2&0&0\\3&2&0&10\\6&2&10&10\\9&12&10&10\\12&22&10&60\\15&32&60&110\\18&92&110&160\end{array}\right][/tex]

The pattern is this: every 3 weeks, the number of adults becomes the previous number of adults + the number of teens.  The number of teens becomes the previous number of babies.  And the number of babies becomes the previous number of adults × 5.

Continuing:

[tex]\left[\begin{array}{ccccc}Week&Adult&Teen&Baby\\1&2&0&0\\3&2&0&10\\6&2&10&10\\9&12&10&10\\12&22&10&60\\15&32&60&110\\18&92&110&160\\21&202&160&460\\24&362&460&1010\\27&822&1010&1810\\30&1832&1810&4110\\33&3642&4110&9160\\36&7752&9160&18210\\39&16912&18210&38760\\42&35122&38760&84560\\45&73882&84560&175610\\48&158442&175610&369410\\51&334052&369410&792210\end{array}\right][/tex]

So at the end of the year, there are a total of 1,495,672 rats.

The best way that Leroux can reduce the costs of regular health care without driving up the price of their health care plan is this: c. Reduce the co-pay amounts but increase the annual deductible so that the monthly premium can stay the same.

The best way that Leroux can reduce the costs of regular health care without increasing the price of the plan would be for then to reduce the co-pay amounts and then increase the annual deductible.

Annual deductibles are the amounts that the customers are expected to pay themselves while the premium is covered by the health company.

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Answer:

4x+10

Step-by-step explanation:

Emma is guaranteed to use 10 pages when she writes something. Since you can't tell how many hours she has written, you use x to represent the hours she has spent writing. If she writes 4 pages every hour, that would be 4 × (hours spent writing) or 4x. Add 4x to the original guaranteed 10 pages she uses and you have your expression.

Step-by-step explanation: i think it is B

You can solve the kinetic energy formula E = mv² for 'v' by first dividing by 'm' to get E/m = v² and then taking the square root of both sides, resulting in v = sqrt(E/m).

The kinetic energy of an object is given by the equation E = mv², where 'm' is the mass of the object and 'v' is its speed. If you want to solve this formula for 'v', you would start by dividing both sides of the equation by 'm'. Doing this, you would get: E/m = v². Then, you would take the square root of both sides to isolate 'v'. This would give you: v = sqrt(E/m), where sqrt stands for 'square root'.

This means that the speed of the object can be found by taking the square root of the kinetic energy divided by the mass of the object.

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The expression for y is y = [tex]\frac{2E}{m}[/tex].

To solve the kinetic energy formula E=[tex]\frac{1}{2}[/tex] [tex]mv^{2}[/tex] for y, we need to isolate y on one side of the equation. The formula can be rearranged as follows:

E=[tex]\frac{1}{2}[/tex][tex]mv^{2}[/tex]

Multiply both sides of the equation by 2 to eliminate the fraction:

2 E =  [tex]mv^{2}[/tex]

Now, to solve for y, which is represented by [tex]mv^{2}[/tex] , divide both sides by m:

y = [tex]\frac{2E}{m}[/tex]

So, the expression for y is y =  [tex]\frac{2E}{m}[/tex] .

This final equation tells us that y (representing [tex]mv^{2}[/tex] ) is equal to twice the kinetic energy (E) divided by the mass (m) of the object.

In physics, [tex]mv^{2}[/tex] is often associated with momentum or the force needed to change the object's velocity.

This derived formula provides a clear representation of the relationship between kinetic energy, mass, and velocity in terms of y.

Question

The formula for finding the kinetic energy, E, of an object is given below, where m represents the mass and v represents the speed of the object. E= 1/2 mv^2 Solve the formula for y.

Answer: Equation for total cost: T = $25 + 0.04E

Cost of a client who earns $1500 = $85

Step-by-step explanation:

Let E = earning in the first month

Commission (c) = 0.04 (4%) × E

Total cost will be the addition of $25 fixed amount and commission

Therefore, an equation that will represent total cost of finding a job through the hotline will be:

T = $25 + 0.04E

The cost of a client whose first month earnings is $1500 will be

T = $25 + 0.04 ($1500)

T = $25 + $60 = $85

I found that helpful

Answer:

410:1

Step-by-step explanation:

Final answer:

The image of the point (-6,3) after a reflection over the y-axis is (6,3), because a reflection over the y-axis changes the sign of the x-coordinate while leaving the y-coordinate unchanged.

Explanation:

The question is asking for the result of a reflection of the point (-6,3) over the y-axis. A reflection over the y-axis will invert the x-coordinate of the point but leave the y-coordinate unchanged. Hence, the reflected point will have the same y-coordinate but the opposite x-coordinate. The transformation formula for a reflection over the y-axis is (x, y) to (-x, y).

Applying this formula to the point (-6,3), we change the sign of the x-coordinate from -6 to 6, while the y-coordinate remains the same. Therefore, the image of the point (-6,3) after the reflection over the y-axis is (6,3).