The patient should take three-tenths of a tablet every 4 hours and the infusion rate is 0.13 mL per 12 hours.
Given that, a doctor administers a drug to a 34-kg patient, using a dosage formula of 55mg/kg/day.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the number of tablets should a 34-kg patient takes every four hours to be x.
Now, 55 × 34 = 1870 mg/day
For every four hours:
1870 × 1 /24 × 4 = 311.666
≈312 mg per 4 hours
So, x=312/4 × 1/300 = 78 × 0.0033
=0.26 tablet
Liquid suspension is for every 12 hours:
So, 312/12 × 1/200 = 26 × 0.005 = 0.13 mL
Hence, the patient should take three-tenths of a tablet every 4 hours and the infusion rate is 0.13 mL per 12 hours.
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Yield: 90%
Purchase Unit: 10 boxes = 1 case
Case Weight: 20 lbs
Case Cost: $48.00
Portion Size:5oz
Step 1: Determine number of edible portions (EP)
Step 2: Determine food cost per portion
1. The number of edible portions (EP) is 64.
2. The food cost per portion = $0.75 per portion.
How is the number determined?The number of edible portions can be determined by first converting the case weight in pounds into ounces.
There are 16 ounces in a pound. 20 pounds will equal 320 ounces by multiplication (16 x 20).
Then, divide 320oz by 5oz to determine the number of portions.
Data and Calculations:Yield: 90%
Purchase Unit: 10 boxes = 1 case
Case Weight: 20 lbs
Case Cost: $48.00
Portion Size: 5oz
1lb = 16oz
20lbs = 320oz (20 x 16)
Edible portions (EP) = 64 (320oz/5oz)
Food cost per portion = $0.75 per portion ($48/64).
Thus, the number of edible portions is 64 with the food cost per portion as $0.75.
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Mustafa's soccer team is planning a school dance as a fundraiser. The DJ charges $200 and decorations cost $100.
The team decides to charge each student $5.00 to attend the dance. If n represents the number of students attending
the dance, which equation can be used to find the number of students needed to make $1,500 in profit?
Answer:
Step-by-step explanation:
Mustafa's soccer team is planning a school dance as a fundraiser. The DJ charges $200 and decorations cost $100.
The team decides to charge each student $5.00 to attend the dance. If n represents the number of students attending
the dance, which equation can be used to find the number of students needed to make $1,500 in profit?
Answer:
Step-by-step explanation:
This article is about the basic inequality {\displaystyle z\leq x+y}{\displaystyle z\leq x+y}. For other inequalities associated with triangles, see List of triangle inequalities.
Three examples of the triangle inequality for triangles with sides of lengths x, y, z. The top example shows a case where z is much less than the sum x + y of the other two sides, and the bottom example shows a case where the side z is only slightly less than x + y.
In mathematics, the triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side.[1][2] This statement permits the inclusion of degenerate triangles, but some authors, especially those writing about elementary geometry, will exclude this possibility, thus leaving out the possibility of equality.[3] If x, y, and z are the lengths of the sides of the triangle, with no side being greater than z, then the triangle inequality states that
{\displaystyle z\leq x+y,}z\leq x+y,
with equality only in the degenerate case of a triangle with zero area. In Euclidean geometry and some other geometries, the triangle inequality is a theorem about distances, and it is written using vectors and vector lengths (norms):
{\displaystyle \|\mathbf {x} +\mathbf {y} \|\leq \|\mathbf {x} \|+\|\mathbf {y} \|,}\|\mathbf {x} +\mathbf {y} \|\leq \|\mathbf {x} \|+\|\mathbf {y} \|,
A bakery is making whole-wheat bread and apple bran muffins. For each batch of break they make $35 profit. For each batch of muffins, they make $10 profit. The break takes 4 hours to prepare and 1 hour to back. The muffins take 0.5 hours to prepare and 0.5 hours to bake. The maximum preparation time available is 16 hours. The maximum bake time available is 10 hours. Let x = # of the batches of bread and y = # of batches of muffins. How many batches of bread and muffins should be made to maximize profits?
4 batches of bread and 0 batches of muffins
4 batches of bread and 0 batches of muffins
2 batches of bread and 16 batches of muffins
2 batches of bread and 16 batches of muffins
4 batches of bread and 10 batches of muffins
4 batches of bread and 10 batches of muffins
1 batch of bread and 12 batches of muffins
The batches of bread and muffins should be made to maximize profits are 0 batches of bread and 16 batches of muffins
How many batches of bread and muffins should be made to maximize profits?The given parameters can be represented on the following table
Bread (x) Muffins (y)
Prepare 4 1 16
Bake 0.5 0.5 10
Profit 35 10
The parameters from the above table are
Max P = 35x + 10y
Subject to
4x + y <= 16
0.5x + 0.5y <=10
x, y > 0
Solving the above constraints using a graphing calculator, we have the following points
(x, y) = (4, 0) and (0, 16)
Substitute these values in Max P = 35x + 10y
So, we have
P = 35 x 4 + 10 x 0 = 140
P = 35 x 0 + 10 x 16 = 160
160 is greater than 140
Hence, the batches of bread and muffins should be made to maximize profits are 0 batches of bread and 16 batches of muffins
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please help for brainiest !!!!
Answer:
E) Line 5
Step-by-step explanation:
Line 5 contains the first incorrect mathematical process
Process
x−5(x+1)>3x+2
−4x−5>3x+2
−7x−5>2
−7x>7
x<−1
5. Please help and show work
A leading agent leases 15 apartments in the month of sept. If the agent leases 40% more apartments in the next month, how many dies she lease in October?
She will lease out 21 apartments in the month of October.
We are given that a leading agent leases 15 apartments in the month of September.
Number of apartments in the month of September = 15.
Now, it is also given that she leases 40 % more apartment in the next month that is October.
Number of apartments in the month of October. = 15 + 40 % of 15
Number of apartments = 15 + 40 / 100 × 15
Number of apartments = 15 + 6
Number of apartments = 21 apartments.
Therefore, she will lease out 21 apartments in the month of October.
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A region’s average movie theater ticket price in 2007 was $6.51. For 2017, it was estimated to be $8.57. Find the percent of increase in average movie theater ticket price
If a region’s average movie theater ticket price in 2007 was $6.51. For 2017, it was estimated to be $8.57, the percent of increase in average movie theater ticket price is 16%
A region's average movie ticket price in 2007 was $6. 51
A region's average movie ticket price in 2017 was $8. 57
Increase in price = 8.57 - 6. 51 = $1.06
Percentage of increase = (increase in price / original price)*100
= (1.06/6.51)*100
16%
If a region’s average movie theater ticket price in 2007 was $6.51. For 2017, it was estimated to be $8.57, the percent of increase in average movie theater ticket price is 16%
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can someone help me please
Answer:
A(-9/2, 0)B(1, 0)C(0, -9)Step-by-step explanation:
Given the quadratic equation y = 2x² +7x -9, you want the coordinates of the x- and y-intercepts.
X-interceptsThe values of x where y=0 can be found by factoring the equation.
y = (2x +9)(2x -2)/2 = (2x +9)(x -1)
The constants 9 and -2 in the binomial terms are factors of the product of leading and trailing coefficients (2)(-9) = -18. Those factors are chosen because their sum is 7, the middle coefficient.
The x-intercepts are the values of x that make these factors zero:
2x +9 = 0 ⇒ x = -9/2
x -1 = 0 ⇒ x = 1
Points A and B are ...
A(-9/2, 0)B(1, 0)Y-interceptThe y-value at point C is where x=0. It is the constant in the quadratic equation.
y = 2(0²) +7(0) -9 = -9
Point C is ...
C(0, -9)four times the square of a number increased by five times the same number
Answer:
4n^2 + 5n.
Step-by-step explanation:
If the number is n, then:
4n^2 + 5n.
Evaluate the expression a•b for a =24 and b=8
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{a\times b}}[/tex]
[tex]\mathsf{= 24\times8}[/tex]
[tex]\mathsf{= 192}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{192}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
5
Polygon ABCD and polygon WXYZ can be mapped onto each other using similarity transformations.
DCD fell
20
18
16
14
12
VA
10
8
6
4
2
D
AS
B
X
dilatio
Y
Which sequence of transformations maps polygon ABCD onto polygon WXYZ?
➜x
0 2 4 6 8 10 12 14 16 18 20
W
mago with
actor of OF
The correct answer is option D.
The polygon ABCD can be mapped on to WXYZ but first it must be enlarged and then it must be mirrored along BC.
The mirror image of ABCD along BC must be enlarged with a scale factor of 2 to map ABCD to WXYZ.
The scale factor is the ratio of the the object to be transformed to the object with which it is to be compared.
Here, the scale factor is 2 and we must enlarge the image of ABCD along BC to get the desired mapping.
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Determine the domain of the following graph
the domain of the following graph= [-5,10)
Domain :
The domain of a function is the set of its possible inputs, i.e., the set of input values where for which the function is defined. In the function machine metaphor, the domain is the set of objects that the machine will accept as inputs.
For example, when we use the function notation f: R→R, we mean that f is a function from the real numbers to the real numbers. In other words, the domain of f is the set of real numbers R (and its set of possible outputs or codomain is also the set of real numbers R).
To, identify the domain and range of functions by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the
x-axis. The range is the set of possible output values, which are shown on the
y-axis. Keep in mind that if the graph continues beyond the portion of the graph we can see, the domain and range may be greater than the visible values.
We can observe that the horizontal extent of the graph is -5 to 10, so the domain of f is [-5,10)
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Why do we use parenthesis if an interval is infinite on both boundries?
We use parenthesis if an interval is infinite on both boundries in order to exclude end-points .
Square brackets mean the set of all points from a to b .
If we use square brackets , it would mean we are including - infinity and + infinity , which is practically impossible .
When we , use parenthesis only the nos . lying between the two points are taken into consideration , the two points are not included .
So , we use parenthesis to exclude - infinity and + infinity .
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Can you solve this
5 is multiplied by the cube of a number
Step-by-step explanation:
We will assume “a number” is “a”. When it is cubed it will be represented by
= “a³”.
When we multiply the number with 5 then the new cube will be
= (5a)³
Now distribute the exponent to the factors inside the parentheses.
= 125a³
What happens in the parentheses is 5*5*5 = 125
a*a*a = a³
So by multiplying your number with 5 it gets increased by 125 times.
(z^1)^2
Its Khan Academy I need help ASAP.
Please help solve…………………
Answer:
22.5
Step-by-step explanation:
∠EAB=2x (alternate interior angles)
∠AEB=180°-4x (linear pair)
2x+180-4x=6x (exterior angle theorem)180-2x=6x180=8xx=22.5Use the quadratic equation to complete the following sentence.
2^2-4x + 10 =0
The quadratic equation has…
PLEASE HELP WILL GOVE BRIANLIEST
Answer:
your answer is 7/2
What is the standard form for 4x10,000+8x1,000+2x100+3x10+6x1+7x1/10
choices
48,237.07
48,236.7
4,830.07
none of these
:)
Answer:
48,236.7
Step-by-step explanation:
40,000 + 8,000 + 200 + 30 + 6 + 7/10
7/10 can also be written .7
for small changes in temperature, the formula for the expansion of a metal rod under a change in temperature is: g-l=al(t-t), where g is the length of the object at temperature t, and l is the length at temperature t, and a is a constant which depends on the type of metal. a rod is 135 cm long at 115 degrees f and made of a metal with a=10^-3. write an equation giving the length of this rod at temperature t(because a=10^-3 is very small, give an exact answer: do not round expand multiplied numerical products to get rounded decimals).
Equation giving the length of this rod at temperature is g = 0.000085t + 84.991075 cm.
What is temperature ?
A temperature is a unit used to represent voguishness or coolness on any of a number of scales, including Fahrenheit and Celsius. According to temperature, heat energy will naturally move from a hotter( body with an advanced temperature) to a colder( body with a lower temperature)( one at a lower temperature).Given that,
Temperature denoted by T
G - L = aL(t - T)
G = aLt + L(1 - aT)
Slope = aL
Intercept = L(1 - aT)
g = 0.000085t + 84.991075 cm
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Which expressions are equivalent to the one below? Check all that apply.
25X
A. (5.5)*
B. 52x
C. 5.5x
D. 52.5x
E. 5.52x
F. 5.5X
Answer:
bca
Step-by-step explanation:
5x5=25 5 to the power of 2 is 25 plus the power of x on all of them
Raina drove 464 miles in 8 hours.
At the same rate, how long would it take her to drive 638 miles?
0 hours
X
S
A washer and a dryer cost $813
combined. The washer costs $87
less than the dryer. What is the cost of the dryer?
The cost of the dryer will be $450
In the given sum the combined cost of the washer and dryer is $813
let the cost of the dyer be x
the cost of the washer will be (87 - x) as it is mentioned in the question washer costs $87 less than the dryer
According to the problem :
∴ x + (x-87) = 813
=> x+x-87 = 813
=> 2x - 87 = 813
=> 2x = 813 +87
=> 2x = 900
=> x = 900/2
=> x = 450
So the cost of the dryer is $450
The cost of the washer is = x - 87 = 450 - 87 = $363
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if you are given a number x and you subtract a number from it. under what circumstance will the answer be negative
the number x, you must deduct another number from it , conditions will the response be unfavorable,
This is a Tutor Verified Response.
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In an expression, a positive number is subtracted from two other integers. If the value of the negative number is higher than that of the positive number, then the expression's value will be considered negative. Additionally, according to the fundamental rule of integers, the number's sign-bearer must always have a higher value.
For instance,
1. 2 - 3 = -1
2. 10 + (- 8) + (- 11) = -9
3. -6 + 3 = -3
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Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why ACDE=AOPQ?
Check all that apply.
AA
E
A. LL
B. AAS
C. SAS
D. LA
E. HL
F. ASA
Answer is ADEF
Given that, two right tringle = R + ΔHEL , R +ΔPME
Hypotenuse equal , A set of corresponding right angles are equal.{HL};
LL=LE
So ∠E(M tringle HEL)∠LM (M tringle PME)
∠H=∠P 90°
∠L=∠E ⇒AAS
HE PM or LE =EM
∠E = ∠M
EL = ME ⇒ASA
∠L = ∠E
HF = PM
∠E = ∠M ⇒SAS
EL = ME
Hence choose A.D.E.F
{Determination of congruence of right tringle }
explanation of Determination of congruence of right tringle
A plane figure bounded by three finite line segments to form a closed figure is known as a triangle. A right-angled triangle is a special case of the triangle. In a right-angled triangle, one of the interior angles measures 90°. Two right triangles are said to be congruent if they are of the same shape and size. In other words, two right triangles are said to be conger
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The speed of an object can be found by taking the distance it travels and dividing it by the time it takes to travel that distance. An object travels 100 feet in 2.5 seconds. Let the speed, S, be measured in feet per second. Write an equation to represent the relationship between the three quantities (speed, distance, and time).
Answer:
Step-by-step explanation:
s = d/t = 100/2.5
Solve the following equations.
(x+5)/2 + (x-3)/3 = 3 1/6
.
3(x+5) + 2(x-3) = 6(3(1/6))
3x + 15 + 2x - 6 = 3 X 1
5x + 9 = 3
5x = - 7
x = - 7/5
Shirley and Pam, working together, can mow the lawn in 6
6
hours. Working alone, Pam takes three times as long as Shirley. How many hours does it take Shirley to mow the lawn alone? Round your answer to two decimal places, if needed.
Shirley will take 8 hours to complete mowing the field alone.
We are given that Shirley and Pam, working together, can mow the lawn in 6 hours.
So, work done if 1 hour together = 1 / 6
Also, we are given that Pam takes three times as long as Shirley when she works alone.
Time taken by Pam = 3 times Time taken by Shirley.
Let the time taken by Shirley be y.
Job done in 1 hour = 1 / y
Time taken by Pam = 3 y
Job done in 1 hour = 1 / 3y
ATQ:
1 / y + 1 / 3 y = 1 / 6
4 / 3 y =1 / 6
24 = 3 y
y = 24 / 3
y = 8 hours.
Therefore, Shirley will take 8 hours to complete mowing the field alone.
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Does 10x = 2.5x have one solution, no solutions, or infinite solutions?
Answer: One Solution
Step-by-step explanation:
Only the number 0 can solve this equation so it may be correct.
First approaching this problem, I would try to get x on one side of the equation by subtracting 2.5x from both sides.
This leaves us with 7.5x = 0
Therefore, this equation has only one solution, 0.
Which linear equation represents the information shown in the table?
x y
–6 –1
0 0
12 2
Question 21 options:
y = –1/4x
y = 6x
y = 1/6x
y = –2x
Answer:
Only one equation fits all the information on the table which is:
y = 1/6x
Answer:
y = 1/6x
Step-by-step explanation:
To find the equation, let's see if each option works by plugging in x into each equation.
y = –1/4x
Plug -6 into x
y = –1/4(-6)
y = 1.5
y = –1/4x doesn't work because we didn't get -1.
y = 6x
Plug -6 into x
y = 6(-6)
y = -36
y = 6x doesn't work because we didn't get -1.
y = 1/6x
Plug 1/6x into x
y = 1/6(-6)
y = -1
Let's see if the other x values work.
Plug 0 into x
y = 1/6(0)
y = 0
Plug 12 into x
y = 1/6(12)
y = 2
y = 1/6x works.
y = –2x
Plug -6 into x
y = –2(-6)
y = 12
y = -2x doesn't work because we didn't get -1.
y = 1/6x is the only linear equation that worked and got all y values, so that is your answer.
Hope that helped and have a lovely rest of your day!
Drag the decimal values to match the corresponding fraction values.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
1/3 =
1/2 =
1/4 =
3/4 =
2/3 =
to choose from: 0.50 0.75 0.25 0.66 0.33
please help
[tex]1/3 \longrightarrow 0.33 \\ \\ 1/2 \longrightarrow 0.50 \\ \\ 1/4 \longrightarrow 0.25 \\ \\ 3/4 \longrightarrow 0.75 \\ \\ 2/3 \longrightarrow 0.66[/tex]