Simon wants to share some money between three different charities. He splits £290 into three amounts that he calls A, B and C. The ratio A: Bis 3:4. The ratio A: C is 2:5. Work out how much money C represents.
Answers
Answer:
150£
Step-by-step explanation:
Isotonic fluids explained.
Shiful Islam
Describe Isotonic fluids and give its examples. Also
write their indications and contraindications
Isotonic fluids refer to solutions that have the same concentration of dissolved particles as the fluids found in the body's cells and blood. When given intravenously, isotonic fluids help to maintain fluid balance, replenish fluid loss, and provide essential electrolytes.
Examples of isotonic fluids include:
Normal saline (0.9% sodium chloride)
Lactated Ringer's solution
5% dextrose in water (D5W)
Indications for isotonic fluids include:
Dehydration caused by vomiting, diarrhea, excessive sweating, or inadequate fluid intake
Electrolyte imbalances, such as hyponatremia (low sodium levels) or hypokalemia (low potassium levels)
Fluid resuscitation for patients with shock or low blood pressure
Maintenance of fluid balance during surgery or after medical procedures
Contraindications for isotonic fluids include:
Patients with congestive heart failure, as excessive fluid intake can exacerbate their condition
Patients with renal failure or compromised renal function, as excessive fluid intake can lead to fluid overload and electrolyte imbalances
Patients with hypernatremia (high sodium levels), as isotonic fluids can exacerbate this condition
Patients with hypervolemia (excessive fluid volume in the body), as isotonic fluids can exacerbate fluid overload.
Shiful Islam
Simon wants to share some money between three different charities. He splits £290 into three amounts that he calls A, B and C. The ratio A: Bis 3:4. The ratio A: C is 2:5. Work out how much money C represents.
Let's start by assigning variables to the unknown amounts of money:
Let's call the amount of money in A "3x" (since the ratio of A to B is 3:4)
Let's call the amount of money in B "4x" (since the ratio of A to B is 3:4)
Let's call the amount of money in C "5y" (since the ratio of A to C is 2:5)
We know that the sum of the three amounts is £290, so we can set up an equation:
3x + 4x + 5y = 290
Simplifying this equation, we get:
7x + 5y = 290
Now we need to use the information about the ratios to set up another equation. We know that the ratio of A to C is 2:5, so we can write:
3x : 5y = 2 : 5
Cross-multiplying, we get:
15x = 10y
Dividing by 10, we get:
x = 2y/3
Now we can substitute this expression for x into the first equation we set up:
7x + 5y = 290
7(2y/3) + 5y = 290
14y/3 + 5y = 290
Multiplying both sides by 3 to eliminate the fraction, we get:
14y + 15y = 870
29y = 870
Dividing both sides by 29, we get:
y = 30
So C represents 5y = 5(30) = £150.
Related Questions
find the volume of the following solids. the base of a solid is the region between the curve y=20 sin x
Answers
To find the volume of the solid, whose base is the region between the curve y=20 sin x.
We know that the base of the solid is the region between the curve y=20 sin x. We also know that the solid is bounded by the x-axis and the plane z=0.
Therefore, the height of the solid is the distance between the curve and the plane z=0. This distance is simply given by the function y=20 sin x.
To find the volume of the solid, we need to integrate the area of each cross-sectional slice of the solid as we move along the x-axis. The area of each slice is simply the area of the base times the height.
The area of the base is given by the integral of y=20 sin x over the region of interest. This integral is:
∫ y=20 sin x dx from x=0 to x=π
= -cos(x) * 20 from x=0 to x=π
= 40
Therefore, the area of the base is 40 square units.
The height of the solid is given by y=20 sin x. Therefore, the volume of each slice is:
dV = (area of base) * (height)
= 40 * (20 sin x) dx
Integrating this expression from x=0 to x=π, we get:
V = ∫ dV from x=0 to x=π
= ∫ 40 * (20 sin x) dx from x=0 to x=π
= 800 [cos(x)] from x=0 to x=π
= 1600
Therefore, the volume of the solid is 1600 cubic units.
Learn more about volume at: https://brainly.com/question/1972490
#SPJ11
To find the volume of the solid, whose base is the region between the curve y=20 sin x.
We know that the base of the solid is the region between the curve y=20 sin x. We also know that the solid is bounded by the x-axis and the plane z=0.
Therefore, the height of the solid is the distance between the curve and the plane z=0. This distance is simply given by the function y=20 sin x.
To find the volume of the solid, we need to integrate the area of each cross-sectional slice of the solid as we move along the x-axis. The area of each slice is simply the area of the base times the height.
The area of the base is given by the integral of y=20 sin x over the region of interest. This integral is:
∫ y=20 sin x dx from x=0 to x=π
= -cos(x) * 20 from x=0 to x=π
= 40
Therefore, the area of the base is 40 square units.
The height of the solid is given by y=20 sin x. Therefore, the volume of each slice is:
dV = (area of base) * (height)
= 40 * (20 sin x) dx
Integrating this expression from x=0 to x=π, we get:
V = ∫ dV from x=0 to x=π
= ∫ 40 * (20 sin x) dx from x=0 to x=π
= 800 [cos(x)] from x=0 to x=π
= 1600
Therefore, the volume of the solid is 1600 cubic units.
Learn more about volume at: https://brainly.com/question/1972490
#SPJ11
A farmer goes to the market to sell a box of eggs. A clumsy horse steps on the box of eggs and breaks a lot of them. The horse’s rider offers to pay for all of the eggs in the box and asks the farmer how many eggs there were. The farmer does not remember the exact number, but when she took them out of the box two at a time, there was 1 egg left. The same thing happened when she took them out three, four, five and six eggs at a time, but when she took them out 7 at a time, there were no eggs left
Answers
The smallest number of eggs that could have been in the box is 1134
The problem is to find the smallest number of eggs that could have been in the box, given the remainder when taking them out by different numbers. Here are the moves toward tackling it:
Allow n to be the quantity of eggs in the container. Then we have the accompanying arrangement of congruences:
n ≡ 1 (mod 2)
n ≡ 1 (mod 3)
n ≡ 1 (mod 4)
n ≡ 1 (mod 5)
n ≡ 1 (mod 6)
n ≡ 0 (mod 7)
For this problem, we have k = 6 k = 6, a i = {1,1,1,1,1,0} a_i = {1,1,1,1,1,0}, M i = {1260,840,630,504,420,720} M_i = {1260,840,630,504,420,720}, and y i = {−1,−2,−3,-4,-5,-6} y_i = {-1,-2,-3,-4,-5,-6}.
Plugging these values into the formula and simplifying modulo 5040, we get:
n = (−1260 + −1680 + −1890 + −2016 + −2100 + 0) mod 5040
n = (−8946) mod 5040
n = (−3906) mod 5040
n = 1134 mod 5040
Therefore, the smallest number of eggs that could have been in the box is 1134
to know more about congruences click here:
https://brainly.com/question/30818154
#SPJ4
Cost of 4 tables and 3 chairs is $225 and 3 tables and 4
chairs cost $195. Find the cost of 2 chairs and 1 table.
Answers
The cost of 2 chairs is = $30
The cost of 1 table = $60
Step-by-step explanation:
Let a table represent x
A chair represents y
4x + 3y = 225.......eq 1
3x + 4y = 195........eq 2
Use elimination method
x - y = 30
x= 30 + y...... Eq 3
Substitute the value of x into equation 1
4(30+ y) + 3y= 225
120 + 4y + 3y= 225
7y + 120= 225
7y= 225-120
7y= 105
y= 15
Substitute the value of y in eq 2
3x + 15 = 195
3x= 195-15
3x= 180
x= 60
Therefore, the cost of 2 chairs is 15 * 2= $30
The cost of 1 table = $60
Answer:
65
Step-by-step explanation:
Select the correct answer from each drop-down menu.
Zeus is considering running a business. He likes the idea of taking on a partner to share in the upstart costs. What are the risks of a partnership?
The biggest risk of a partnership is that they share blank
and blank
Answers
Answer:
shared responsibility and work shared business risk and expenses complementary skills and additional contacts of each partner can lead to the achievement of greater financial results together than would be possible apart
mutual support and motivation
Step-by-step explanation:
find the area of the region between y=x1/2 and y=x1/3 for 0≤x≤1.
Answers
We have to find the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1.
To find the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1, we have to integrate x^(1/2) and x^(1/3) with respect to x. That is, Area = ∫0¹ [x^(1/2) - x^(1/3)] dx= [2/3 x^(3/2) - 3/4 x^(4/3)] from 0 to 1= [2/3 (1)^(3/2) - 3/4 (1)^(4/3)] - [2/3 (0)^(3/2) - 3/4 (0)^(4/3)]= 0.2857 square units
Therefore, the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1 is 0.2857 square units. Note: The question but the answer has been provided in the format requested.
To know more about square units visit:
https://brainly.com/question/2411992
#SPJ11
A partnership had its agreement drawn up by a lawyer. The company made $350,000 in profit at the end of the year. The
agreement identified partner #1 to receive 40% and partner #2 to receive 60% of the profits. If the partners agreed to invest $50,000 of the company's profits back into the business, how much money did partner #2 receive from the profits ?
1) 140,000
2) 120,00
3) 210,000
4) 180,000
Answers
Partner #2 received $180,000 from the profits.
CalculusGiven that a partnership had its agreement drawn up by a lawyer, and the company made $350,000 in profit at the end of the year, and the agreement identified partner #1 to receive 40% and partner #2 to receive 60% of the profits, To determine, if the partners agreed to invest $50,000 of the company's profits back into the business, how much money did partner #2 receive from the profits, the following calculation must be performed:
(350,000 - 50,000) x 0.6 = X300,000 x 0.6 = X180,000 = XTherefore, partner #2 received $180,000 from the profits.
Learn more about calculus in https://brainly.com/question/2811530
find teh exact value of sin 2x given that sec x = 3/2 and csc y = 3 and x and y are in quadrant 1
Answers
The exact value of \(sin 2x\) is \(4√5/9.\)
Given that \(sec x = 3/2 and csc y = 3\)where x and y are in the 2x = 2 sin x quadrant, we need to find the exact value of sin 2x.
In the first quadrant, we have the following values of the trigonometric ratios:\(cos x = 2/3 and sin y = 3/5\)
Also, we know that sin \(2x = 2 sin x cos x.\)
Now, we need to find sin x.
Having sec x = 3/2, we can use the Pythagorean identity
\(^2x + 1 = sec^2xtan^2x + 1 = (3/2)^2tan^2x + 1 = 9/4tan^2x = 9/4 - 1 = 5/4tan x = ± √(5/4) = ± √5/2\)
As x is in the first quadrant, it lies between 0° and 90°.
Therefore, x cannot be negative.
Hence ,\(tan x = √5/2sin x = tan x cos x = √5/2 * 2/3 = √5/3\)
Now, we can find sin 2x by using the value of sin x and cos x derived above sin \(2x = 2 sin x cos xsin 2x = 2 (√5/3) (2/3)sin 2x = 4√5/9\)
Therefore, the exact value of sin 2x is 4√5/9.
To know more about trigonometric visit :
https://brainly.com/question/29156330
#SPJ11
if anyone can find all of the missing angles i'll give you 30 points
Answers
Answer:
Hope this will help :-)
A wire with a length of 54 cm is bent to form a shape as shown in the diagram. what is the length of side AB
Answers
Answer:
Step-by-step explanation:
Length of the wire = 54 cm
12 + (AB + 9) + 9 + 12 + AB = 54
Add the like terms
12+ 9 + 9 + 12 + AB + AB = 54
42 + 2AB = 54
2AB = 54 - 42
2AB = 12
AB = 12/2
AB = 6 cm
In a large city school system with 20 elementary schools, the school board is
considering the adoption of a new policy that would require elementary students to pass
a test in order to be promoted to the next grade. The PTA wants to find out whether
parents agree with this plan.
Listed below are some ideas proposed for gathering data. For each, indicate what kind
of sampling strategy is involved and what (if any) biases might result.
a. Put a big ad in the newspaper asking people to log their opinions on the PTA website.
b. Randomly select one of the elementary schools and contact a parent for each student
in the school.
c. Send a survey home with every student, and ask parents to fill it out and return it the
next day.
d. Randomly select 20 parents from each elementary school. Send them a survey, and
follow up with a phone call if they do not return the survey within a week.
e. Run a poll on the local TV news, asking people to dial one of two phone numbers to
indicate whether they favor or oppose the plan.
f. Hold a PTA meeting at each of the 20 elementary schools, and tally the opinions
expressed by those who attend the meetings.
g. Randomly select one class at each elementary school and contact each of those
parents.
h. Go through the district’s enrollment records, selecting every 40th parent. PTA
volunteers will go to those homes to interview the people chosen.
Answers
a. This is a voluntary response sampling strategy. Bias may occur because only those with strong opinions are likely to respond, which may not represent the views of all parents.
b. This is cluster sampling. Bias may occur if the selected school is not representative of the entire city's school system.
c. This is a census. Bias may occur if some parents do not return the survey, leading to nonresponse bias.
d. This is stratified random sampling. Bias may be minimized as each school is fairly represented, but nonresponse bias could still occur if some parents do not return the survey or respond to the phone call.
e. This is a voluntary response sampling strategy. Bias may occur as only those watching the news and with strong opinions are likely to participate, which may not represent the views of all parents.
f. This is convenience sampling. Bias may occur because only those attending the PTA meetings will have their opinions counted, which may not represent the views of all parents.
g. This is cluster sampling. Bias may occur if the selected classes are not representative of the entire city's school system.
h. This is systematic random sampling. Bias may be minimized as the sample is spread evenly throughout the enrollment records, but nonresponse bias could still occur if some parents are not available for the interview.
To know more about " SAMPLING TECHNIQUES" refer here:
https://brainly.com/question/29852583#
#SPJ11
Which expression can be used to find 640% of 700? A. 640 x 700 B. 64 x 700 C. 6.4 x 700 D. 0.64 x 700
Answers
Answer:
6.40 * 700
Step-by-step explanation:
Of means multiply
640% * 700
Change the percent to a decimal
6.40 * 700
Answer:
its A on edge
Step-by-step explanation:
a manufacturer makes aclosed right cylindrical container whose base has radius 7 inches and whose height measures 14 inches.he also makes another cylindrical container whose base has radius 14 inches and whose height measures 7 inches.Which container requires more metal ?
Answers
The second cylindrical container with a base radius of 14 inches and height of 7 inches requires more metal.
For the first container with a base radius of 7 inches and height of 14 inches:
The area of each base is
= π x 7²
= 49π square inches.
and, lateral surface area is
= 2π x 7 x 14
= 196π square inches.
So, total surface area = 2(49π) + 196π = 294π square inches.
For the second container with a base radius of 14 inches and height of 7 inches:
The area of each base is
= π x 14²
= 196π square inches.
and, lateral surface area is
= 2π x 7 x 14
= 196π square inches.
So, total surface area = 2(196π) + 196π = 588π square inches.
Comparing the two surface areas, we can see that the second container requires more metal, as its surface area is greater.
Learn more about surface area here:
https://brainly.com/question/29298005
#SPJ1
Solve x^2 - 2x is greater than 1
thanks!
Answers
the angles of quadilateral are, x,2x,3x and 4x find the value of x
Answers
Answer:
the angle sum of quadrilateral is 360 degree
x+2x+3x+4x = 360
10x=360
x= 360/10
x= 36
1 angle= 36
2 angle= 2*36=72
3 angle =3*36=108
4 angle= 4*36= 144
Step-by-step explanation:
HELPP PLSSSS Im failing school :(
Answers
Answer:
D.540
if im wrong sorry
Step-by-step explanation:
HELP PLEASEEEE ASAP——————————
Answers
Answer:
both the same
Step-by-step explanation:
what is the greatest common factor of 20x6y 40x4y2−10x5y5? 10x4y 10 x begin power 4 end power y 5x2y5 5 x squared y begin power 5 end power 5x4y 5 begin power 4 end power y 20x6y
Answers
The greatest common factor of \(20x^{6} y+40x^{4} y^{2} -10x^{5} y^{5}\) is \(10x^{4} y\) .
The greatest common factor of a set of numbers is defined as the largest number that divides all the numbers in that given set and leaves 0 as remainder in each case.
In the given expression
\(20x^{6} y+40x^{4} y^{2} -10x^{5} y^{5}\)
Applying Prime Factorization and Writing all the terms in the above expression as
\(20x^{6} y=10x^{4}y *2x^{2}\)
\(40x^{4} y^{2} =10x^{4} y*4y\)
\(10x^{5} y^{5} =10x^{4}y*xy^{4}\)
As we can see that \(10x^{4} y\) is common and greatest in all the terms .
Hence \(10x^{4} y\) is the Greatest common factor.
Therefore , the greatest common factor of \(20x^{6} y+40x^{4} y^{2} -10x^{5} y^{5}\) is \(10x^{4} y\) , the correct option is (a)\(10x^{4} y\).
The given question is incomplete , the complete question is
What is the greatest common factor of \(20x^{6} y+40x^{4} y^{2} -10x^{5} y^{5}\)
(a)\(10x^{4} y\)
(b)\(5x^{2} y^{5}\)
(c)\(5x^{4} y\)
(d)\(20x^{6} y\)
Learn more about Greatest Common Factor here https://brainly.com/question/207329
#SPJ4
HELP!!!!!!!!
Find the direction of vector shown above. A. -68.2 N of E B. -21.8 N of E C. 21.8 N of W D. 68.2 N of W
Answers
The direction of the vector is - 21.8 N of E , Option B is the answer.
What is a Vector ?A vector is an object with both magnitude and direction.
A vector is shown in the graph.
To determine the direction , The angle needs to be determined
The slope of the vector will give the direction of the vector
The vector starts from the point (1 , 1)
Another point on the vector (-4 , 3)
slope = -2 /5
It is making angle x with the line y = 1
tan x = -2 /5
x = - 21.8 N of E.
Therefore the direction of the vector is - 21.8 N of E , Option B is the answer.
To know more about Vector
https://brainly.com/question/13322477
#SPJ1
Determine the base-five representation a) 214 b) 62 c) 8 d) 95 a) 214=
Answers
a) 214 in base-five is 1324.
b) 62 in base-five is 222.
c) 8 in base-five is 13.
d) 95 in base-five is 340.
How is this so?
a) To determine the base five representation of 214, we need to find the largest power of five that is less than or equal to 214.
In this case, 125 (5³) is the largest power of five that is less than 214.
Now, we divide 214 by 125 -
214 ÷ 125 = 1 remainder 89
Next, we divide the remainder, 89, by the next lower power of five, which is 25 (5²) -
89 ÷ 25 = 3 remainder 14
Finally, we divide the remaining 14 by the lowest power of five, which is 5 itself -
14 ÷ 5 = 2 remainder 4
Therefore, the base-five representation of 214 is 1324 in base-five.
b) Following the same steps as above -
62 ÷ 25 = 2 remainder 12
12 ÷ 5 = 2 remainder 2
Hence, the base-five representation of 62 is 222 in base-five.
c) 8 ÷ 5 = 1 remainder 3
this menas that the base-five representation of 8 is 13 in base-five.
d) Following the same steps as above -
95 ÷ 125 = 0 remainder 95
95 ÷ 25 = 3 remainder 20
20 ÷ 5 = 4 remainder 0
Hence, the base-five representation of 95 is 340 in base-five.
Learn more about base 5:
https://brainly.com/question/29100985
#SPJ4
a three digit number is not an odd number, does not contain 6, and one of the digits appear more than once. how many possible three digit numbers are there?
Answers
The total number of possible three-digit numbers is not odd, does not contain 6, and has at least one repeated digit is 13,221,888.
To find the number of possible three-digit numbers we need to use the systematic approach method
Step 1:
we have to find the number of three-digit numbers that are not odd. Number of possible choices for the units digit (0, 2, 4, or 8)= 4
Number of possible choices for tens and hundreds of digits (0-9 excluding 6 = 9
the total number of three-digit numbers that are not odd is,
= 4 x 9 x 9
= 324.
Step 2:
Count the number of three-digit numbers that do not contain 6.
Number of possible choices for each digit (0-5, 7, 8, or 9) = 8
the total number of three-digit numbers that do not contain 6 is,
= 8 x 8 x 8
= 512.
Step 3:
Count the number of three-digit numbers that do not have distinct digits. The number of possible choices for the repeated digit and 9 choices for the other digit = 9
the total number of three-digit numbers that have a repeated digit is
= 9 x 9 = 81.
Step 4:
Find the intersection of the sets of numbers counted in Steps 1-3.
To do this, we multiply the number of choices in each set:
= 324 x 512 x 81
= 13,221,888.
Therefore, 13,221,888 possible three-digit numbers are not odd, do not contain 6, and have at least one repeated digit.
To learn more about the systematic approach method:
https://brainly.com/question/27959993
#SPJ4
if you were to give a horse 1 ml per 250 lb of body weight of an anthelmintic, how many milliliters would you give to a horse that weighs 1250 lb?
Answers
Answer:
5 ml
Step-by-step explanation:
1250 lb * ( 1 ml / 250 lb ) = 5 ml
Cb ⊥ ac by the radius-tangent theorem, so ∠c is a right angle. δabc is a right triangle, so apply the pythagorean theorem. use the steps and solve for the radius. r2 82 = (r 5)2 r2 64 = r2 10r 25 r =
Answers
By the radius-tangent theorem, the radius is equal to 39/10 units.
What is Pythagorean theorem?In Euclidean geometry, Pythagorean's theorem is given by this mathematical expression:
a² + b² = c²
Where:
a, b, and c represents the side lengths of a right-angled triangle.
Since CB is tangent to OA at point C and line segment CB is perpendicular to line segment AC by the radius-tangent theorem, we would determine the radius by applying Pythagorean's theorem as follows;
r^2 + 8^2 = (r + 5)^2
r^2 + 64 = r^2 + 10r + 25
r^2 - r^2 = -10r + 64 - 25
10r = 39
r = 39/10 units.
Read more on Pythagorean theorem here: https://brainly.com/question/9892082
#SPJ1
the product of two consecutive negative integers is 600. what is the value of the lesser integer? –60 –30 –25 –15
Answers
The value of the lesser integer is -25. Let's assume the two consecutive negative integers are x and (x+1). According to the given information, the product of these two integers is 600.
We can set up the equation as follows:
x * (x+1) = 600
Expanding the equation:
x^2 + x = 600
Rearranging the equation:
x^2 + x - 600 = 0
To solve this quadratic equation, we can factorize it or use the quadratic formula. In this case, let's factorize it:
(x - 25)(x + 24) = 0
From the factored form, we have two possible solutions:
x - 25 = 0 or x + 24 = 0
Solving these equations:
x = 25 or x = -24
Since we are looking for a negative integer, the lesser integer is -25.
Therefore, the value of the lesser integer is -25.
Learn more about integer here: brainly.com/question/490943
#SPJ11
QUESTION:
The product of two consecutive negative integers is 600. What is the value of the lesser integer?
A. –60
B. –30
C. –25
D. –15
Select the correct answer. Which logarithmic equation is equivalent to this exponential equation? 2,400=7,500 (10) ^ -x
Answers
The logarithmic equation that is equivalent to this exponential equation 2,400=7,500 (10) ^ -x is \(x = -log_{10} \frac{8}{25}\). Option C
How to solve for the equationfrom the question we have:
2400 = 7500(10)⁻ˣ
we would have to transform the equation that we have here into the logarithm form.
This is written as:
\(\frac{2400}{7500}=10^-^x\)
from here we are to reduce the division
hence we would have:
\(10^-^x = \frac{8}{25}\)
-x = log₁₀8/25
then
\(x = -log_{10} \frac{8}{25}\)
option c is correct
Read more on logarithms here:https://brainly.com/question/25710806
#SPJ1
Rich Borne teaches Chemistry 101. Last week he gave his students a quiz. Their scores are listed below. 24 31 47 29 31 16 48 41 50 54 37 22 54 38 7 16
Answers
The quiz scores of Rich Borne's Chemistry 101 students are as follows: 24, 31, 47, 29, 31, 16, 48, 41, 50, 54, 37, 22, 54, 38, 7, and 16.the performance of Rich Borne's Chemistry 101 students on the quiz
To analyze this data, we can calculate various descriptive statistics such as the mean, median, mode, range, and standard deviation. The mean (average) score can be obtained by summing up all the scores and dividing by the total number of scores. The median represents the middle value when the scores are arranged in ascending order. The mode refers to the most frequently occurring score. The range is the difference between the highest and lowest scores, indicating the spread of the data. The standard deviation measures the variability or dispersion of the scores around the mean.
By calculating these descriptive statistics, we can gain insights into the performance of Rich Borne's Chemistry 101 students on the quiz and understand the central tendency and variability of their scores.
know more about descriptive statistics :brainly.com/question/30764358
#SPJ11
When Mirka is 5 years old, her parents start to give her pocket money of 50p per week. On her birthday each year, her parents increase her pocket money by 50p
How much pocket money does Mirka get in the first year?
Answers
If Mirka is 5 years old, her parents start to give her pocket money of 50p per week , then the amount of pocket money does Mirka get in the first year is £26 .
the amount that Mirka gets per week is = 50p ;
Age of Mirka is = 5 years ;
When Mirka is 5 years old, she starts to receive 50p per week in pocket money. On her birthday, her parents increase her pocket money by 50p.
that means ;
So, for the first year, the pocket money will be 50p per week for 52 weeks (1 year),
Pocket money in the first year = 50p × 52 weeks = £26 .
Therefore , Mirka will get £26 in the first year of her birthday .
Learn more about Pocket Money here
https://brainly.com/question/28160067
#SPJ4
are the measured mean values of vcom,1 and vcom,2 the same or different (i.e. within the experimental uncertainty)?
Answers
Based on this information, we can conclude that the measured mean values of vcom,1 and vcom,2 are not significantly different from each other and fall within the range of experimental error.
Assuming that the mean value of vcom,1 is 5.2 m/s with an experimental uncertainty of 0.1 m/s, and the mean value of vcom,2 is 5.5 m/s with an experimental uncertainty of 0.2 m/s, we can calculate the difference between the two mean values and compare it with the combined experimental uncertainty.
The difference between the two mean values is 0.3 m/s, which is greater than the combined experimental uncertainty of 0.22 m/s (calculated as the square root of (0.1² + 0.2²)). Therefore, we can conclude that the two mean values are different and outside the range of experimental error.
Learn more about Mean values :
https://brainly.com/question/30756017
#SPJ4
The complete question is :
What is the experimental uncertainty of the mean values of vcom,1 and vcom,2, and is the difference between them significant? Can we conclude that the two mean values are the same, or are they within the range of experimental error?
Which expression is equivalent to -80?
-4.6
-4./51
42/51
4.5
Answers
Answer:
None of them.
Step-by-step explanation:
\(-4.6=-4.6\)
\(-4/51=-0.07843137254\)
\(42/51=0.82352941176\)
\(4.5=4.5\)
None of these integers are equal to -80.
Answer:
None of them can possibly equivalent to -80 because the two decimals is greater than -80 and is not an expression, same with the division problems.
If the sum of the first 3n positive integers is 150 more than the sum of the first n positive integers, then what is the sum of the first 4n positive integers?
Answers
Answer: 300
Step-by-step explanation:
\(\sum^{3n}_{k=1} k=\frac{3n(3n+1)}{2}\\\\\sum^{n}_{k=1} k=\frac{n(n+1)}{2}\\\\\therefore \frac{3n(3n+1)}{2}-150=\frac{n(n+1)}{2}\\\\3n(3n+1)-300=n(n+1)\\\\9n^2 +3n-300=n^2 +n\\\\8n^2 +2n-300=0\\\\4n^2 +n-150=0\\\\(n-6)(4n+25)=0\\\\n > 0 \implies n=6\\\\\therefore 4n=24\\\\\implies \sum^{4n}_{k=1} k=\sum^{24}_{k=1} k=\frac{24(25)}{2}=300\)
share one tip or suggestion on how others can represent real-life situations using rational functions
Answers
Answer:
The answer is below
Step-by-step explanation:
There are various tips or suggestions on how others can represent real-life situations using rational functions, one of them is the application of a work problem formula.
By using the work problem formula, one can measure the time it will take different people working at different speeds to complete the work. With the formula w =r*t. Where w = work done, r = rate of work donee, and t = time
One tip or suggestion on how others can represent real life situations using rational functions is;
Modelling the density of an object by the formula; density = mass/volume
Rational functions are very useful tools in representing real-life situations as well as finding solutions to real problems. These functions could represent variations for the model of a lot of real-life situations. Thus, if we can find a function, then we would have taken a big step in representing a real life situation.
When solving real-life situations using rational formulas, it is paramount to begin by solving the formula for the unknown variable.For example, when looking for the density of an object. It is gotten by using the formula; Density = mass/volume
Similarly, when looking for average speed travelled by a vehicle, it is given by the formula;
speed = distance/time
Read more at; https://brainly.in/question/27073767