9514 1404 393
Answer:
274 mL
Step-by-step explanation:
Often medical solutions expressed as a percentage are not really a percentage as such. A percentage is the ratio of two quantities with the same units.
Here, the context given by the problem suggests the "25%" solution is really (25 g)/(100 mL). That is, the units are grams and milliliters--different units.
With that assumption, we want to find the volume (v) of solution needed to deliver 6 g of medicine. An appropriate proportion* is ...
v/(6 g) = (100 mL)/(25 g)
v = (6 g)(100 mL)/(25 g) = 24 mL
So, the total volume of the infusion is ...
250 mL +24 mL = 274 mL
_____
* The concentration is given in terms of g/mL, but we have used a proportion that is mL/g. The reason for that is we want the variable to be in the numerator of the ratio. The variable here represents volume, so we have written the proportion with volumes in the numerators.
Having the variable in the numerator means the equation can be solved in one step--by multiplying by its denominator.
A furniture company is producing three types of furniture. Product A requires 7 board feet of wood and 4 lbs of wicker. Product B requires 5 board feet of wood and 5 lbs of wicker. Product C requires 4 board feet of wood and 3 lbs of wicker. There are 3000 board feet of wood available for product and 1400 lbs of wicker. Product A earns a profit margin of $35 a unit, Product B earns a profit margin of $42 a unit, and Product C earns a profit margin of $20 a unit. Formulate the problem as a linear program.
Given:
Product A requires 7 board feet of wood and 4 lbs of wicker.
Product B requires 5 board feet of wood and 5 lbs of wicker.
Product C requires 4 board feet of wood and 3 lbs of wicker.
Available wood = 3000 board feet
Available wicker = 1400 lbs
Profit margin of A = $35 per unit
Profit margin of B = $42 per unit
Profit margin of C = $20 per unit
To find:
The linear programming problem for given situation.
Solution:
Let the number of units produced of products A, B and C are x, y and z respectively.
Product A Product B Product C Total
Board feet of wood 7 5 4 3000
wicker 4 5 3 1400
Objective function: Maximize [tex]z=35x+42y+20z[/tex]
s.t.,
Board feet of wood : [tex]7x+5y+4x\leq 3000[/tex]
Wicker : [tex]4x+5y+3x\leq 1400[/tex]
Number of units cannot be negative. So, [tex]x,y,z\geq 0[/tex].
Therefore, the required LPP is
Maximize [tex]z=35x+42y+20z[/tex]
s.t.,
[tex]7x+5y+4x\leq 3000[/tex]
[tex]4x+5y+3x\leq 1400[/tex]
[tex]x,y,z\geq 0[/tex]
RQT is a straight angle. What are mRQS and mTQS?
Somone help please
Answer:
RQS=100 & TQS=80
Step-by-step explanation:
add them and set it equal to 180 because it is a straight line
9x+1 + 7x+3 = 180
16x+4=180 (subtract 4 from both sides)
16x=176 (divide 16 from both sides)
x=11 (plug 11 into the angles)
9(11)+1=RQS & 7(11)+3=TQS
only have to solve one of them and subtract it from 180 to get the second angle since they are supplementary
Answer:
RQS=100 & TQS=80
Step-by-step explanation:
add them and set it equal to 180 because it is a straight line
9x+1 + 7x+3 = 180
16x+4=180
16x=176
x=11
9(11)+1=RQS & 7(11)+3=TQS
you only have to solve one of them and subtract it from 180 to get the second angle since they are supplementary .
hope this helped!
p.s it would be cool if you gave me brainliest.
7(9y + 2y – 6) – 9y =
Answer:
68y-42
Step-by-step explanation:
Answer:
68 y-42
Step-by-step explanation:
If paper clips are 7/8 of an inch long and cost $0.02 to make, how much would it cost to produce enough paper clips to make a line, end to end, that stretches 56 inches?
Answer:
$1.12
Step-by-step explanation:
When you multiply 8/7 of 56, you get 64.
This shows that you will need 64 paperclips to make 56 inches worth of paper clips. If each paper clip costs two cents, you need to multiply 56 paperclips by 2 cents. 56x0.02=1.12 so it will cost you 1 dollar and twelve cents
Which statement is true
Answer:
b
Step-by-step explanation:
Answer:
the answer is B
Step-by-step explanation:
If a person walks 1/3 of a mile every 1/6 of an hour, what is their speed in miles per hour?
Answer:
2 mi per hour
Step-by-step explanation:
1/3*6=
6/3= 2
2 mi per hour
Answer:
2mph
Step-by-step explanation:
If a person walks 1/3 of a mile every 1/6 of an hour you divide to solve.
[tex]\frac{\frac{1}{3}}{\frac{1}{6}}[/tex] To solve you flip the bottom and multiply:
[tex]\frac{1}{3} *\frac{6}{1}[/tex] = [tex]\frac{6}{3} = 2[/tex]
The person is walking 2mph
A delivery driver earns a fixed amount for each delivery she makes, and
yesterday her average hourly wage was $16.50 an hour. If she worked 6 hours
yesterday and made 11 deliveries, how much does she earn for each delivery
made?
O A. $9.90
O B. $9.00
O C. $5.50
O D. $5.00
Answer:
9 dollars or B
Step-by-step explanation:
16.50 (hourly wage) x 6 (hours worked) = 99 dollars
$99/11 deliveries= 9 dollars per delivery.
Can someone please explain how to do this? Iʻm not sure.
The school band played at a festival on tuesday the band started playing at 3:48 pm and stopped playing at 6:38 pm how long did that band play?
Answer:
rwqrqwrq
Step-by-step explanation:
Answer:
2 hours 50 minutes
Step-by-step explanation:
subtract 3:48 from 6:38
and you get 2 hours 50 minutes.
please answeeeerrrrrr
Triangle A B C is reflected across the line of reflection m to form triangle A prime B prime C prime. Triangle A prime B prime C prime is rotated about point B prime 270 degrees to form triangle A double-prime B double-prime C double-prime.
Which rule describes the composition of transformations that maps ΔABC to ΔA"B'C"?
Answer:
it is D trust me
Step-by-step explanation:
Answer:
the answer is d
Step-by-step explanation:
the way you can figure this out is by looking at the figures and finding what transformation came first because of the number of prime notations on a letter in a figure. in this case is was ABC first then A'B'C' then A''B''C''
using that we can now determine the order of how the composition will be written. the first step of the composition is the left most part and the last part of the composition is the right most part. basicly the order is left to right.
we see that figure ABC is reflected across the line m to create the figure A'B'C' relections are written like r for the relection and the sub letter is the line the figure is reflected across to in this case it would be written as r sub m meaning that r sub m is the 2nd part of the composition.
the 2nd step in the composition is when figure A'B'C' turns into figure A''B''C'' the way we find out its transformation is determine whether it was slid or if it was rotated aroound a point of rotation. here we have a rotation. now we got to determine what the center of roation is. in this case its B'. looking at the options there is no negative -90 degrees which means that the rotation happened counter clockwise because all valuse are positive. counter clockwise is to the left. now simple math figure A'B'C 180 degrees would make it need 90 more degrees so 180+90=270 thats the degree of the roation around point B'
rotations are written as R sub point of rotation, __ degrees. in our case it is r sub B', 270 degrees. this is the second step so it will be on the right of the equation. the full equation turns out to be R sub B', 270 degrees composition of transformations r sub m.
it must be that way because if you rotated the figure first then reflected it it would look like an entirely different image.
pls give brainliest
2(8+9)=
qsdffffffffffffffffffffffffff
Answer:
34
Step-by-step explanation:
16+18 34 should help
Answer:
34
Step-by-step explanation:
2*8=16
9*2=18
16+18=34
In explaining why their country is an attractive place to invest, the Minister of Commerce from Turgistan has argued that the political problems have been exaggerated and that fewer people have been imprisoned for political reasons than you have been led to believe. However, Amnesty International reports that one third of the prisoners in Turgistan are political prisoners. A representative from your company visited a prison and sampled 500 prisoners in Turgistan, concluding that 90 of them are political prisoners. Test the hypothesis, at the 5% significance level, that one third of the prisoners in Turgistan are political prisoners.
Required:
a. Does this data support the Minister of Commerce or Amnesty International?
b. What other issues might be important when evaluating this data?
Answer:
a
This data does not support the Minister of Commerce or Amnesty
International
b
Another issue that is important when evaluating this data is the judicial system of the Turgistan
Step-by-step explanation:
From the question we are told that
The sample size is n = 500
The number of political prisoners is k = 90
The level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : p = \frac{1}{3} = 0.33[/tex]
The alternative hypothesis is [tex]H_a : p \ne 0.33[/tex]
Generally the sample proportion is mathematically represented as
[tex]\^ p = \frac{k}{n}[/tex]
=> [tex]\^ p = \frac{90}{500}[/tex]
=> [tex]\^ p = 0.18[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\^ p - p}{\sqrt{\frac{p (1- p)}{n} } }[/tex]
=> [tex]z = \frac{0.18 - 0.40}{\sqrt{\frac{0.33 (1- 0.33)}{500} } }[/tex]
=> [tex]z = -7.1429 [/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P( Z > -7.1429)[/tex]
From the normally distribution table
The probability of [tex]P( Z > -7.1429) = 0[/tex]
=> [tex]p-value = 2 * 0[/tex]
=> [tex]p-value = 0[/tex]
From the value obtained we see that the [tex]p-value < \alpha[/tex] hence the decision rule is
Reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that this data does support the Minister of Commerce or Amnesty International
jj
Factor 6(×)^3+43(×)^2+79(×)+12
What is the equation for calculating portion size?
Answer:
How to Easily Calculate the Serving Size in Recipes
Weigh the Food. Before you can accurately divide your recipe into servings, you need to know how much it weighs in total. ...
Divide the Recipe into Servings. ...
Calculate Calories. ...
Save the Information.
Step-by-step explanation:
100204180 translate into words
Answer:
One hundred million, two hundred, 4 thousand one, hundred eighty
The word form of 100204180 is One hundred million, two hundred, 4 thousand one, hundred eighty.
Given,
100204180 .
Now,
To write the numerical from in the word form,
100204180 = One hundred million, two hundred, 4 thousand one, hundred eighty.
Thus the number is of the range of hundred million.
Know more about word form,
https://brainly.com/question/24618016
#SPJ6
Find the product of a^2 (4ab - 6c)
Answer:
4a^3b − 6a^2c
Step-by-step explanation:
What is the degree of the following polynomial?
Answer:
4th degree, so option 2
Step-by-step explanation:
the graph has 4 zeros (coordinates where y=0)
What happens to the median if the game with 3 hits is remqued from the data sset
600 students are studying in a private
school, the average monthly fee of a
student is Rs. 1200. How much amount for
tax does the school pay to the government
as education service tax at the rate of 1% in
a year? *
Answer:
600 ×1200=720,000
720,000×12=8,640,000
8,640,000×1%=8,640,000÷100%=86,400
86,400 per year
6th grade ratios 50 pts
Answer:
13 milliliters
Step-by-step explanation:
it is 13
The line y=2x+7 meets at rthe y-axis at A.
Write down the co-ordinates of A
Answer:
(0, 7)
Step-by-step explanation:
y = mx + c
c is the y-intercept - where the line crosses the y-axis
Choose all sets that contain the number - 2.22.
Natural numbers
whole numbers
integers
Rational numbers
irrational numbers
Real numbers
Answer:
D, F
Step-by-step explanation:
rational numbers
real numbers
a centroid is the intersection of three
1. altitudes in a triangle
2. medians in a triangle
3. angle bisectors in a triangle
4. perpendicular bisectors in a triangle
Answer:
medians in the triangle
Step-by-step explanation:
just took the test
Leon was asked to repaint the sign for his mother's ice cream shop, so he needs to figure out how much paint he will need. Determine the area of the ice cream cone on the sign. Round to the nearest tenth. 6 in 12 in.
Answer:
50.1
The area of the composite figure is 50.1
Trust me
Tracy plans to serve punch along with the chicken wings. According to her calculations, two times the amount of punch needed is more than 4 liters. Write an inequality for y, the amount of punch needed to serve at Tracy’s party.
Answer:
word problems are pretty tricky
Step-by-step explanation:
y= punch
2*y > 4 Liters
y >2 Liters
Answer:2y>4
Step-by-step explanation:
Two times the amount of punch needed =2y. Because this amount must be greater than 4 liters, the inequality is given by 2y>4
Write the equation and slope intercept form: y-4=2(x+3)
Answer:
y = 2x + 10
Step-by-step explanation:
Remember, slope-intercept form is:
y = mx + b
where m is the slope and b is the y-intercept.
To write the equation in slope-intercept form, we can just solve the equation for slope-intercept form.
y - 4 = 2(x + 3)
Distribute the 2 on the right side.
y - 4 = 2x + 6
Add 4 to both sides.
y = 2x + 10
Notice, now we have the equation in slope-intercept form.
I hope this helps. Happy studying.
polynomial time............
Answer:
I'm pretty sure its b
Step-by-step explanation:
I plotted each one to make a polynomial graph and b was the one that had the x-intercepts at -6, 1, and 4.
hope this helped a little :))
5. Paul is x years old.
Rebecca is four times older than Paul.
Gemma is 10 years older than Paul.
the sum of their ages is 82 Years.
(a) Form a simplified equation in terms of x
(b) Solve the equation and work out each persons age.
Answer: A) The equation will be x + 4x + x + 10 = 82 B) Paul's age is 12, Rebecca's age is 48 and Gemma's age is 22.
Step-by-step explanation:
We will represent Paul's age by the equation p= x where p is Paul
We will represent Rebecca's age by the equation r = 4x Where r is Rebecca
We will represent Gemma's age by the equation g = x + 10 where g is also Gemma's age.
We given that the sum of their ages is 82 years so meaning that x + 4x + x + 10 has to equal 82.
A) The equation will be x + 4x + x + 10 = 82
Solve for the x equation to find Paul age because his age is x.
B) (x) + (4x) + (x+10) = 82 combine like terms on the left side
6x + 10 = 82
-10 -10
6x = 72
x= 12
Paul age is 12.
r= 4(12)
r = 48
Rebecca's age is 48.
g= 12 +10
g= 22
Gemma's age is 22.
What is the least common denominator for the fractions 1/6and3/4?