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Unitary method question.
Answers
Answer:
the better value is £9
Step-by-step explanation:
unitary method..
find out how much 1kg will cost in the supermarket and multiply by 12.5kg
For the supermarket
1.83/2.5= 0.732 for one kg.
for 12.5 kg
0.732× 12.5= £9.15
hence the farm shop price is lower than the supermarket price
Related Questions
a person must score in the upper 4% of the population on an iq test to qualify for membership in mensa, the international high iq society, if iq scores are normally distributed with a mean of 100 and a standard deviation of 15, what score must a person have to qualify for mensa. (2 decimals)
Answers
A person must have a score of 126.26 to qualify Mensa.
it is given that,
Mean \((\mu) = 100,\)
Standard deviation \((\sigma) = 15\).
A person must score in the upper 4% of the population,
100% - 4% = 96% = 0.96
P(X < Xo) = 96% = 0.96
P(X < 1.7507) = 0.96 ....................................using the Normal distribution table,
Or, when the Invnorm function is used, Invnorm(0.96) = 1.7507
Therefore, The required value of X is,
\(Z = \frac{(X - \mu )}{ \sigma }\)
1.7507 = (X - 100) / 15
X - 100 = 26.26
X = 100 + 26.26
X = 126.26
thus, the score a person must have to qualify Mensa is 126.26.
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the area of a square garage is 121 square feet. will it fit a car that measures 13 feet long? explain
Answers
Answer:
It won't because the area is length times height. So 11 x 11. So some of the car will be hanging out of the garage.
Step-by-step explanation:
Alessia’s salary in 2022 was 26,000 after tax.
She spends 35% of her after tax salary on rent.
The rest is split between food, petrol and entertainment in the ratio 6:11:8
Work out how much alessia spent on entertainment in 2021
Answers
Alessia spent $5,408 on entertainment in 2021.
To determine how much Alessia spent on entertainment in 2021, we need to work backward from the given information about her salary in 2022.
Let's assume Alessia's salary in 2021 was the same as in 2022, which is $26,000 after tax.
Since Alessia spends 35% of her after-tax salary on rent, we can calculate her rent expenditure:
Rent = 35% × $26,000
= $9,100
The remaining amount is split between food, petrol, and entertainment in the ratio 6:11:8.
To determine the ratio's total parts, we sum the individual parts:
Total parts = 6 + 11 + 8 = 25
Next, we calculate the value of one part of the ratio:
One part = ($26,000 - $9,100) / 25
= $16,900 / 25
= $676
Now, we can calculate how much Alessia spent on entertainment in 2021, which is 8 parts of the ratio:
Entertainment expenditure = 8 × $676
= $5,408
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Which statement best describes Janelle's conclusion? Her conclusion is incorrect because 2x + 10 is not equal to 3x – 5. Her conclusion is incorrect because the angles are not marked; therefore, no conclusion can be drawn. Her conclusion is correct because the value of x is 15. Her conclusion is correct because mAngleLKM + mAngleLKJ = mAngleMKJ.
Answers
Answer:
c
Step-by-step explanation:
Answer:
the answer is C
Step-by-step explanation:
samantha used craft wire to make the design shown. she first made the smaller quadrilateral. then she enlarged the smaller quadrilateral to make the larger quadrilateral, using a scale factor that extended the 6-centimeter side by 3 centimeters. what total length of craft wire did samantha use for both quadrilaterals?
Answers
The total length of craft wire used by Samantha is 10x + 9
What is the scale factor?
A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
Let's call the length of the smaller quadrilateral's 6-centimeter side "x".
Then the length of the corresponding side in the larger quadrilateral would be 6+3=9 centimeters, since the scale factor is 3.
To find the total length of craft wire used, we need to add up the lengths of all the sides in both quadrilaterals.
The smaller quadrilateral has four sides, each with a length of x.
The larger quadrilateral also has four sides, but only one of them has a different length (9 cm), while the other three sides are simply 3 times longer than the corresponding sides in the smaller quadrilateral.
So the total length of craft wire used by Samantha is:
4x + 9 + 3x + 3x + 3x
Simplifying this expression, we get:
10x + 9
Hence, the total length of craft wire used by Samantha is:
10x + 9
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At what value of x does the graph of the following function F(x) have a
vertical asymptote?
A. 2
B. 2
C. -1
D. 0
Answers
Given:
The function is
\(F(x)=\dfrac{1}{x+2}\)
To find:
The vertical asymptote of the given function.
Solution:
Vertical asymptote are the vertical line passes thought the values for which the function is not defined.
To find the vertical asymptote, equate the denominator equal to 0.
We have,
\(F(x)=\dfrac{1}{x+2}\)
Denominator is (x+2).
\(x+2=0\)
\(x=-2\)
The vertical asymptote is \(x=-2\).
Therefore, the correct option is B.
Which of the following best describes the relationship between the number of miles a person runs and the number of calories he/she burns?
A. neither correlation nor causation
B. correlation and causation
C. correlation without causation
D. causation without correlation
Answers
Because the number are either rising or falling
Express 1.2, 2.25, 3.5, 4.06 as a fraction in its simplest form
Answers
Answer:
1.2 = 12/10 = 6/5
2.25 = 225/100 = 9/4
3.5 = 35/10 = 7/2
4.06 = 406/100 = 203/50
Assuming semiannual compounding, a 20 year zero coupon bond with a par value of $1,000 and a required return of 13.2% would be priced at Muluple Choice 577.57 58377 588339 $938.09
Answers
To calculate the price of a zero-coupon bond, we can use the formula:
\(Price = Face Value / (1 + Required Return)^(Number of Periods)\) In this case, the face value of the bond is $1,000, the required return is 13.2%, and the bond has a 20-year maturity with semiannual compounding (40 periods).
Substituting the given values into the formula, we have:
\(Price = $1,000 / (1 + 0.132/2)^40 ≈ $938.09\)
Therefore, the price of the 20-year zero-coupon bond, assuming semiannual compounding and a required return of 13.2%, would be approximately $938.09. The correct answer is D.
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In a class of students, the following data table summarizes how many students play
an instrument or a sport. What is the probability that a student chosen randomly
from the class plays a sport?
Plays a sport
Does not play a sport
Plays an instrument Does not play an instrument
3
8
10
9
Answers
Answer:
3 OR 8 hope this helps!
Step-by-step explanation:
What is the area, in square meters, of the circle? Use 3.14 for π. Round your answer to the nearest tenth.
Answers
Answer: See explanation
Step-by-step explanation:
You didn't give any figures but let me try and help out.
The area of a circle is given as:
= πr²
Let's say we have radius as 8m, the are will be:
= πr²
= 3.14 × 8²
= 3.14 × 64
= 200.96m²
The table shows the distance the students a group of students walked during after-school practice. What was the total distance, in miles, the students walked during after-school practice?
Answers
First let's convert the decimal numbers to mixed numbers:
\(\begin{gathered} 3.4=3+0.4=3+\frac{4}{10}=3+\frac{2}{5}=3\frac{2}{5} \\ 1.75=1+0.75=1+\frac{75}{100}=1+\frac{3}{4}=1\frac{3}{4} \\ 2.25=2+0.25=2+\frac{25}{100}=2+\frac{1}{4}=2\frac{1}{4} \end{gathered}\)Now, adding all the numbers, we have:
\(\begin{gathered} (3+\frac{2}{5})+(3+\frac{1}{5})+(1+\frac{3}{4})+(2+\frac{1}{4})+(1+\frac{7}{10}) \\ =(3+3+1+2+1)+(\frac{2}{5}+\frac{1}{5}+\frac{3}{4}+\frac{1}{4}+\frac{7}{10}) \\ =10+(\frac{3}{5}+1+\frac{7}{10}) \\ =11+(\frac{6}{10}+\frac{7}{10}) \\ =11+\frac{13}{10} \\ =12+\frac{3}{10}=12\frac{3}{10} \end{gathered}\)So the correct option is B.
-6 = 3х - бу4х = 4 + БуSolving systems of equations using substitution method
Answers
-6 = 3x - 6y
4x = 4 + 5y
ok
x = (4 + 5y)/4
Substitution
-6 = 3[(4 + 5y)/4] - 6y
-6 = [12 + 15y]/4 - 6y
-6 + 6y = [12 + 15y]/4
-24 + 24y = 12 + 15y
24y - 15y = 12 + 24
9y = 36
y = 36/9
y = 4
x = (4 + 5(4))/4
x = [4 + 20)/4
x = 24/4
x = 6
Solution x = 6, y = 4
Triangle JKL is similar to triangle PQR, find t. The sides of JKL measures
sJL = 4.5 sLK = 1.5 sJK = 5. The sides of PQR measures sQP = 25 sRP = 22.5 and sRQ = t
Answers
The length of side RQ in triangle PQR is 7.5.
Given,
ΔJKL ≈ ΔPQR
Therefore, sides are in same ratio to each other i.e.
\(\frac{QP}{JK}=\frac{RP}{JL}=\frac{RQ}{LK}\)
\(\frac{25}{5} =\frac{22.5}{4.5}= \frac{t}{1.5}\)
Therefore,
5 = t/1.5
t = 5*1.5
t = 7.5
Hence, length of RQ is 7.5.
Correct question,
Triangle JKL is similar to triangle PQR, find t. The sides of JKL measures
sJL = 4.5 sLK = 1.5 sJK = 5. The sides of PQR measures sQP = 25 sRP = 22.5 and sRQ = t. Find the length of RQ.
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(2³)² solve this problem
Answers
Answer:
\((2^3)^2 = 64\)
Step-by-step explanation:
Option 1:
Using the following rule:
\((a^n)^m = a^{nm}\)
Put in our expression,
a = 2
n = 3
m = 2
\((a^n)^m = a^{nm}\)
\((2^3)^2 = 2^{3*2}=2^6=64\)
Option 2:
Using the following rule:
\(a^n * a^m = a^{n+m}\)
Since our expression is the same as multiplying 2³ with itself, we can write it as a multiplication.
\((2^3)^2 = 2^3 * 2^3\)
If we compare this with \(a^n * a^m\), we can see that
a = 2
n = 3
m = 3 (in this case, n and m are equal)
\(a^n*a^m = a^{n+m}\)
\(2^3*2^3 = 2^{3+3} = 2^6 = 64\)
Answer: \((2^3)^2 = 64\)
Answer:
Formula used : (a^m)^n = a^(m×n)
→ (2³)² = 2³*² = 2⁶ = 64
64 is the right answer.5/6 - 1/9 = ?/? - ?/? = ?/?
please help 20 points
i need to know what each ( ?/? ) is
Answers
5/6 - 1/9=?/? - ?/? = ?/? , value of each (?/?) is
5/6 -1/9 =15 /18 -2/18 =13 /18.
As given,
5/ 6 - 1/9 =?/? -?/? =?/?
Convert the given terms into like terms
Least common multiple of (6,9)=18
Value of each ( ?/?)
(5/6 ) × ( 3/3) -(1/9) × (2/2)
= 15 /18 - 2/18
= 13 /18
Therefore,5/6 - 1/9 = ?/? - ?/? = ?/? , value of each (?/?) is equal to
5/6 -1/9 = 15 /18 -2/18 = 13/18.
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9. The length of each side of a square with area 2500 square inches is increased by 10 inches. What
is the resulting area in square inches?
2520
3250
2510
3600
Answers
Answer: 3600
Step-by-step explanation:
Area of a square = side^2
Area = √2500 = 50
If side is increased by 10, length if side becomes 60 inches
Area = 60^2
Area = 3600 sq. in.
The price received for a bicycle is given by the equation b = 100 – 10x2, where x is the number of bicycles produced, in millions.
It costs the company $60 to make each bicycle.
What is the profit function for the company?
P = –10x2 – 60x + 100
P = –10x3 + 40x
P = – 10x2 + 40
Answers
Answer:
B
Step-by-step explanation:
What is the probability that a test correctly rejects a false null hypothesis called?.
Answers
Power is the probability that a test correctly rejects a false null hypothesis.
What is probability?
Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes—how likely they are—whenever we're uncertain of how an event will turn out.
Power is inversely related to the probability of making a type 2 error (β) which is rejecting the alternative hypothesis when it is true.
The equation of power is:
Power=1-β
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A glitter glue recipe takes a mixture of
1
5
cup of glitter to
2
5
cup of glue.
For A, how many cups of glitter are used for 1 cup of glue?
For B, how many cups of glitter glue is made with 1 cup of glue?
A. cups of glitter
B cups of glitter glue
Answers
0.6 cup of gliter is used for 1 cup of glue and 1.6 cup of gliter glue is made with 1 cup of glue.
Part A
Given that,
15 cup of gliter is for 25 cup of glue ,
Therefore, "X" cup of gliter is for 1 cup of glue
X = (1*15)/25
X= 0.6 cup of gliter
Part B,
Given that,
From part A 0.6 cup of gliter is for 1 cup of glue
Thus, 1 cup of glue and 0.6 cup of gliter when mixed will form "Y" cup of gliter glue
Now, Y= 0.6 cup of gliter + 1 cup of glue
Y= 1.6 cup of gliter glue
which approximates to 2 cup of gliter glue.
pla shop mathematics
Answers
The number of trees more than 10m tall but not more than 20m tall is 18 trees.
How many of the trees are more than 10m tall but not more than 20m tall?0 < h ≤ 5 = 5
height greater than 0m less than or equal to 5m
5 < h ≤ 10 = 9
height greater than 5m less than or equal to 10m
10 < h ≤ 15 = 13
height greater than 10m less than or equal to 15m
15 < h ≤ 20 = 5
height greater than 15m less than or equal to 20m
20 < h ≤ 25 = 1
height greater than 20m less than or equal to 25m
The number of trees that are more than 10m tall but not more than 20m tall are;
10 < h ≤ 15 = 13
15 < h ≤ 20 = 5
So,
13 + 5 = 18 trees
Therefore, the total number of trees which are 10m tall but not more than 20m tall is 18 trees.
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Help meeeeeeeeeeplease
Answers
Answer:
The answer is 8/5. Hope you do great!:)
Step-by-step explanation:
I need every answer and explanation. It’s constant rate of change.
Answers
Answer:
hehehheheyeu7777777yggg
Express as simply as possible with a rational denominator
7/√10
Answers
Answer:
7√10 / 10.
Step-by-step explanation:
7/√10
Multiply top and bottom by √10:
= 7√10 / 10
what distance is travelled by a bus that travels at 105kph in 5 hours
Answers
Answer:
21mph = 33.80 km/h
Step-by-step explanation:
Speed = Distance / Time = 105 kph / 5 hours = 21 mph = 33.80 km/h
What is the distance traveled by the bus at a speed of 105 kph in 5 hours?
Answer:The distance traveled by the bus is 525 kilometers.
Step-by-step explanation:As per the provided information in the given question, we know that the speed is given by 105 kph. The time is given by 5 hours. In this problem, we are tasked to find the distance traveled by the bus.
To do this, we will use the formula below:
\(\large\begin{aligned}\bigstar\:\boxed{\rm{\: Distance = Speed \times Time \:}} \end{aligned}\)
Substitute the given values into the formula given above and solve for Distance:
\(\large\begin{aligned}\rm:\implies{Distance}& = \rm{Speed \times Time} \\\rm:\implies{Distance} & =\rm{105\: kph \times 5\: hrs} \\\rm:\implies{Distance} & =\rm{525\: km} \end{aligned}\)
Hence, the distance traveled by the bus is 525 kilometers.
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Which one of the triangles below is NOT a right triangle
Answers
Answer:
Second one.
Step-by-step explanation:
A right triangle is a triangle with one right angle. A right angle can be shown with a box, we see that in 1, 3, and 4, there is a box, so that means 2 is not a right angle. We can also do out the math for number 2, so 67+67 = 134, and 180 - 134 is not 90.
Let me know if you have any questions.
Malika buys 20 bottles of cranberry juice at the corner store for a total cost of $20. If each bottle costs the same amount, how much is each bottle of juice?
Answers
Answer: 1 dollar per bottle
Step-by-step explanation:
If they cost $20 and she bought 20 bottles, we can use division.
$20 / 20 bottles = 1 dollar per bottle
Please help with number 8
Answers
\(8.3\)
Rewrite as an improper fraction:\( \large \frac{83}{10} \)
Rewrite as percentage:\(830\%\)
Answer:
Fraction: 8.3x10/10 = 83/10
percentage: 83/10 × 100/1 = 830%
. A painter mixes two and a half pints of yellow paint with 4 pints of red paint to make a certain shade of orange paint. How many pints of yellow paint should be mixed with 10 pints of red paint to make this shade of orange? Show your work.
Answers
Answer:
6
Step-by-step explanation:
A painter mixes 2 1/2 pints (2.5 pints) of yellow paint with 4 pints of red paint to make a certain shade of orange paint. The ratio of yellow paint to red paint is 2.5:4. In order to find the pints of yellow paint needed to be mixed with 10 pints of red paint, we will use conversion fractions.
10 red pints × (2.5 yellow pints/ 4 red pints) ≈ 6 pints (we round off to 1 significant figure)
A cylinder has a height of 5 centimeters. Its volume is 1,004.8 cubic centimeters. What is the radius of the cylinder?
Use ≈ 3.14 and round your answer to the nearest hundredth.
Answers
Answer:
r = 8 cm
Step-by-step explanation:
V = π·r²·h
1004.8 = 3.14(5)·r²
r² = 1004.8/15.7
r² = 64
r = √64 = 8