The ratio of the cost of one metre of polyester fabric to the cost of one metre of cotton fabric is 2:7
Complete the table of costs
Answers
Answer:
The values of the table of costs in the explanation
Step-by-step explanation:
Let
x ---->the cost of one metre of polyester fabric
y ----> the cost of one metre of cotton fabric
we know that
The ratio of the cost of one metre of polyester fabric to the cost of one metre of cotton fabric is
[tex]\frac{x}{y}=\frac{2}{7}[/tex]
Complete the table
Part 1) For 2 metres of fabric
To find out the costs multiply the ratio by the fraction 2/2
so
[tex](\frac{2}{2})\frac{2}{7}=\frac{4}{14}[/tex]
therefore
[tex]x=\£4\\y=\£14[/tex]
Part 2) For 6 metres of fabric
To find out the costs multiply the ratio by the fraction 6/6
so
[tex](\frac{6}{6})\frac{2}{7}=\frac{12}{42}[/tex]
therefore
[tex]x=\£12\\y=\£42[/tex]
Part 3) For 8 metres of fabric
To find out the costs multiply the ratio by the fraction 8/8
so
[tex](\frac{8}{8})\frac{2}{7}=\frac{16}{56}[/tex]
therefore
[tex]x=\£16\\y=\£56[/tex]
Part 4) For 9 metres of fabric
To find out the costs multiply the ratio by the fraction 9/9
so
[tex](\frac{9}{9})\frac{2}{7}=\frac{18}{63}[/tex]
therefore
[tex]x=\£18\\y=\£63[/tex]
Related Questions
In 2002, there were 972 students enrolled at Oakview High School. Since then, the number of students has increased by 1.5% each year.
Answers
Answer:
The number of student increased each year by 986.58.
Step-by-step explanation:
Given : In 2002, there were 972 students enrolled at Oakview High School.
To find : The number of students has increased by 1.5% each year ?
Solution :
Using the exponential growth function,
[tex]P(t)=P_o(1+r)^t[/tex]
Here, [tex]P_o=972[/tex] is the initial population
r=1.5%=0.015 is the rate
t=1 time
[tex]P(t)=972(1+0.015)^1[/tex]
[tex]P(t)=972(1.015)[/tex]
[tex]P(t)=986.58[/tex]
i.e. the number of student increased each year by 986.58.
Jenny wants to buy a car by making payments of $120 per month in an
account for three years. If her bank account is giving her 2.4% interest rate
per year, compounded monthly. How much money will Jenny have to buy a
car.
Answers
The circumference of a circle is 36 feet. What is the length of the radius of this circle?
A. 9 ft
B. 18 ft
C. 36 ft
D. 72 ft
Please answer now!
Answers
Where is the gap in the data?
Number of Patients Per Hour Who Waited Longer than 15 Minutes
A dot plot going from 0 to 5. 0 has 8 dots, 1 has 6 dots, 2 has 1 dot, 3 has 5 dots, 4 has 0 dots, and 5 has 3 dots.
0
2
4
8
Answers
Answer:
the answer is 4
Answer:
THE ANSWER IS FOUR
Step-by-step explanation:
i need this answered asap !
Answers
Answer:
Week 16
Step-by-step explanation:
Week 1: 3.5 miles => 22.5 miles left
22.5/1.5 increments = 15 weeks
15 weeks + week 1 = 16th week
Answer:
week 16
Step-by-step explanation:
In the equation z/6 = 36, what is the next step in the equation solving sequence
Answers
Answer:
The answer to your solution is z = 36
Step-by-step explanation:
36 divided by 6 = 6
The shape on the left is transformed to the shape on the right.
Shape M N O P is rotated to form shape M prime N prime O prime P prime.
Which of the following statements describes the transformation?
M N O P right-arrow M prime N prime O prime P prime
M prime N prime O prime P prime right-arrow M N O P
P prime O prime M prime N prime right-arrow M O P N
M N O P right-arrow O prime P prime M prime N prime
Answers
Answer:
answer 1, MNOP -> M'N'O'P'
Step-by-step explanation:
this is the most logical answer because it describes how the shape moves
Answer:
MNOP --> M'N'O'P'
Step-by-step explanation:
M --> M'
N --> N'
O --> O'
P --> P'
Which writing algebraic expression correctly translate 2n + 8
Answers
The correct translation for the expression 2n + 8 is "eight more than twice a number."
The expression 2n + 8 represents doubling a number (represented by n) and then adding 8 to it. In simpler terms, it signifies performing the operation of multiplication (twice the number) followed by addition (adding 8). So, when we say "eight more than twice a number," it perfectly encapsulates this mathematical operation: first, we double the number, then add 8 to the result. This succinctly describes the algebraic expression 2n + 8 in a clear and concise manner.
Complete Question:
Which written algebraic expression correctly translate 2 n+8 ?
A. eight more than twice a number
B. eight plus double a number
C. a number squared added to eight
D. the total of eight and twice a number
Determine the perimeter
Answers
Answer:
1.662cm
Step-by-step explanation:
add 0.9 and 0.762 to get 1.662
thats all you literally do.
Can somebody just finish this probability maze for me?
Answers
Answers and Step-by-step explanations:
Start at the first box that says "start":
1) The probability of landing on "N" is 1/7 (because there are 7 sectors and only 1 with N on it) and the probability of landing on a vowel is 3/7 (because there are 7 sectors and 3 vowels). Multiplying these, we get 3/49. So, go down the path with 3/49 on it.
2) The probability of getting a perfect square from the die is 2/6 (because there are 6 total sides, but only two of them are perfect squares: 1 and 4). The probability of getting a number less than 5 is 4/6 (because there are 6 total sides but only four are less than 5). Multiplying these, we get 8/36 = 2/9. So, go down the path with 2/9 on it.
3) The probability of getting a Trix bar is 8/15 (because there are 15 total candy bars and 8 Trix bars), and the probability of getting a Crunch bar is 5/15 (because there are 15 total bars and 7 Crunch bars). Multiplying these, we get 40/225 = 8/45. So, go down the path with 8/45 on it.
4) The probability of getting a head is 1/2. The probability of getting a vowel from "incredible" is 4/10 (because there are 10 total letters and 4 vowels). Multiplying these, we get 4/20 = 1/5. So, go down the path with 1/5 on it.
5) The probability of drawing a diamond or a 7 is 13/52 + 4/52 - 1/52 = 16/52 (13/52 because there are 52 total cards are 13 diamonds, 4/52 because there are four 7's, but then subtract 1/52 because there is a card you counted twice: 7 of diamonds). The probability of choosing November is 1/12. Multiplying these, you get 1/39. So, go down the path with the 1/39 on it.
6) Sarah's probability of getting a strike is 5/18, while David's is 9/25. Multiplying these, we get 45/450 = 1/10. So, go down the path with the 1/10 on it.
7) The probability that the first duck is a winner is 25/75. The probability of the second duck being a winner is 24/74 (because after you picked the first duck, you didn't replace it, so there are 75 - 1 remaining and 25 - 1 winners remaining). Multiplying these, we get 4/37. So, go down the path with the 4/37 on it.
8) The probability of getting a state that starts with "N" is 8/50 (because there are 50 total states and 8 with "N"). The probability of getting a number at least 2 is 5/6. Multiplying these, we get 2/15. So, go down the path with 2/15 on it.
9) The probability of landing on an odd number is 6/12, and the probability of getting a shaded number is 10/12. Multiplying these, we get 60/144 = 5/12. So, go down the path with 5/12 on it.
10) The probability that Mason gets all 5 correct is (1/2)^5 (because he has a 1/2 chance of getting the right answer). So, go down the path that says 1/32.
11) The probability of first getting a nickel is 10/36 (because there are 36 total coins and 10 nickels), and the probability of getting a dime next is 12/35 (because there are 36 - 1 = 35 total coins remaining and 12 dimes). Multiplying these, we get 2/21. So, go down the path that says 2/21.
12) The probability that the first card is a heart is 13/52 (there are 52 total cards and 13 hearts), and the probability that the second card is a heart is 12/51 (because there are 52 - 1 = 51 total remaining and 13 - 1 = 12 hearts remaining). Multiplying these, we get 1/17. So, go down the path that says 1/17.
13) The probability that the car isn't stopped at the first light is 80% = 8/10, while the probability that the car isn't stopped at the second light is 70% = 7/10. Multiplying these, we get 14/25. And, that's the end!
Hope this helps!
A probability maze is solved by assigning probabilities to each path, calculating the probability of each path, and summing these probabilities to determine the total probability for the entire maze.
Explanation:I'm sorry, but as a Brainly tutor, my role is to help guide you to understanding how to navigate through a probability maze, not do the work for you. However, I can certainly explain the process. First, we need to identify the different paths one can travel within your maze. This includes any turns or decision points. Then, assign a probability to each path. They're usually equal unless a rule specifies otherwise.
Next, calculate the probability of successfully traversing each path. When there are several ways to reach a destination point, add the probabilities of each route. Finally, find the total probability by adding up the probabilities of each possible path that leads to the end of the maze. Remember, probability can never be greater than 1, so if your total is more than 1, re-check your work. The understanding of how to calculate probability and solving probability mazes are very important aspects of mathematics in high school.
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a and b are positive integers and a−b = 2. Evaluate the following:
2^a / 2^b
Answers
Answer:
2³/2=4
Step-by-step explanation:
a=2+b
(2+b)²/b²
4+4b+b²/b²
since b²/b² cancel out
4+4b=0
4b=4
b=1
sub into a=b+2
a=3
I'm not exactly sure what I did was correct but I hope it helps anyways.
is the sequence 1,0,-1,0 geometric
Answers
Answer:
no
Step-by-step explanation:
there has to be a common value that they are all multiplied by
If you roll one die there are six possible outcomes (1,2,3,4,5,6). If you roll the die once, what is the probability of getting an even number less than 4?
Answers
Which would be
1, 2, 3
The answer would be 1/2 for all numbers
But since it’s just the even number
2
The probability would be 1/6
Since there is 6 numbers all together
And there is only one even number less the 4 on a six sided dice
What conclusion can be drawn by synthesizing these different sections of text? The problems of disease have been solved through the hard work of disease hunters. Disease is a problem that cannot be solved unless major steps are taken all over the world. While people are studying diseases all the time, more work still needs to be done
Answers
Answer:
while people are studying diseases all the time, more work still needs to be done.
The answer is C
i got it right on edge
Write a system of equations that matches the graph
shown.
Answers
Answer:
no te pases de bago
ednenjnjnjnnjnjnjnjnenjdnjendjen
Step-by-step explanation:
The system of equations that matches the graph is
x + y = 2
3x - y = 1
What is the system of equations
From the question, we are to write a system of equations for the two straight lines shown
To do this, we will pick two points on each line
Red line:
(0, 2) and (2, 0)
Using the formula,
y - y1 / x - x1 = y2 - y1 / x2 - x1
(y - 2) / (x - 0) = (0 - 2) / (2 - 0)
Simplifying
(y - 2) / x = -2 / 2
(y - 2) / x = -1
y - 2 = -x
Thus,
x + y = 2
Blue line:
(1, 1) and (0, -2)
Using the formula,
y - y1 / x - x1 = y2 - y1 / x2 - x1
(y - 1) / (x - 1) = (-2 - 1) / (0 - 1)
Simplifying
(y - 2) / (x - 1) = -3/ -1
(y - 2) / (x - 1) = 3
y - 2 = 3(x - 1)
y - 2 = 3x - 3
Thus,
3x - y = -2 + 3
3x - y = 1
Hence,
The system of equations is
x + y = 2
3x - y = 1
The circular base of a cone has a radius of 5 centimeters.
The height of the cone is 12 centimeters, and the slant
height is 13 centimeters.
What is the approximate surface area of the cone? Use
3.14 for at and round to the nearest whole number.
© 267 cm
© 283 cm2
456 cm
487 cm
13 cm
12 cm
5 cm
Answers
Answer:
283cm^2 Hope that helps ;)
Step-by-step explanation:
The approximate surface area of the cone is 283 cm².
What is Surface Area?The area of a three dimensional object on it's outer surface is called the surface area of the object.
Given that,
The circular base of a cone has a radius of 5 centimeters.
The height of the cone is 12 centimeters, and the slant height is 13 centimeters.
Surface area of a cone = π r² + πrl
where r is the radius and l is the slant height.
Substituting,
Surface area = π (5)² + π(5)(13)
= 25π + 65π
= 90π
= 90 × 3.14
= 282.6 cm² ≈ 283 cm²
Hence the surface area is 283 cm².
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Eleana and her grandfather both had birthdays last week.
• The sum of their ages is 100 years.
• Her grandfather's age is 4 times Eleana's age.
How old is Eleana and her grandfather?
Answers
Answer:
Eleana is 20 years old and her grandfather is 80 years old.
Step-by-step explanation:
So first off, we want to make variables to represent Eleana and her grandfather.
Let x represent Eleana's age.
Since her grandfather is four times older than Eleana,
The expression should be 4x+x=100
Step One
Add the x's together and you get 5x=100.
Step Two
Divide both numbers by 5 to solve for x.
x=20
Convert 7804 meters into kilometers.
Hint: 1 kilometer = 1000 meters
7804 meters = [blank] kilometers
Enter your answer as the number that correctly fills in the blank.
Round the answer to three decimal places, like this: 42.536
Answers
Answer:
7.804 kilometers
Step-by-step explanation:
We would just do 7804/1000 which is 7.804 kilometers.
x- 8.75 = 7.63 helppppp
Answers
+8.75. +8.75
So x= 16.38
hope this helps :)
Hi there! Hopefully this helps!
----------------------------------------------------------------------------------------------
Answer: X = 16.38
To see what X equals, you need to do the inverse of the operation use.
For example, this equation uses subtraction, so to solve it we use addition.
||
\/
8.75 + 7.63 = 16.38.
So, 16.38 - 8.75 = 7.63.
When 3 is taken from five times a certain number, the result is the same as adding 6 to twice the number. Find this number
Answers
Answer:
3
Step-by-step explanation:
5x-3=6+2x
5x-2x=6+3
3x=9
x=3
If n+5/5=f+9/9, then n/5=
Answers
Answer:
f/9
Step-by-step explanation:
(n + 5)/5 = (f + 9)/9
n/5 + 1 = f/9 + 1
n/5 = f/9
Question 1
How can you rewrite the following expression?
Your answer:
4- 2 = 2
4+ (-2) = 2
4+2 = 6
INTL
Answers
(-2)+4=2
2+4=6
Why is this a question
The expression '4 - 2 = 2' can be rewritten as '4 + (-2) = 2' or 'subtracting 2 from 4 equals 2'. However, '4 + 2 = 6' is not equivalent to the initial expression and represents an addition, not a subtraction.
Explanation:The expression '4 - 2 = 2' can be rewritten in a number of ways. Firstly, we can consider '4 - 2' as '4 + (-2)', which indeed equals 2. Moreover, another way to rephrase '4-2' is 'subtracting 2 from 4', still equals 2. A different expression, '4 + 2', however, results in a value of 6, which is not equivalent to our initial expression '4 - 2 = 2'.
We use the concepts of addition and subtraction to rewrite these expressions. It is crucial to understand that the operation of subtraction can be imagined as the addition of a negative number to a positive one. Whereas, the operation 4 + 2 = 6 belongs to a different category, as it is straightforward addition, not a subtraction.
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Find the volume of the cone. Round your answer to the nearest tenth.
Answers
Answer:
V≈351.86
This is my answer for your question
Junior's box of animal crackers contains ten elephants, ten monkeys, ten zebras, and ten lions. Without looking, Junior grabs one cracker from the box and eats it. What is the probability that both crackers were lions?
Answers
Answer:
3/52
Step-by-step explanation:
10/40 x 9/39 = 3/52
Final answer:
The probability that both animal crackers Junior grabs from the box are lions is approximately 5.75%.
Explanation:
The question asks to calculate the probability that both animal crackers Junior grabs from the box are lions. With a total of 40 animal crackers (10 elephants, 10 monkeys, 10 zebras, and 10 lions), the probability of picking a lion first is 10/40 or 1/4. After eating one lion, there are now 39 crackers left and only 9 lions. The probability of picking a second lion is 9/39. To find the probability that both crackers eaten are lions, we multiply the probabilities of these two independent events: (1/4) * (9/39) = 9/156 or 1/17.39. This simplifies to approximately 0.0575 or 5.75%.
If h is instead negative, the curve shifts
Answers
Which two binomials are factors of the trinomial
Answers
4x^2 + 23x - 6
4x^2 + 24x - x - 6
4x (x + 6) - 1(x + 6)
(4x - 1)(x + 6)
B and C
Which number produces
irrational number when added to 3/4?
A. 3.14 (pie)
B. 0.333...
C. 3/5
D. -0.75
Answers
Answer:
A is the answer.
Step-by-step explanation:
A fraction plus a fraction is equal to a fraction. An irrational number cannot be expressed as a fraction.
0.3333333 even though it looks like an irrational number it is actually: 1/3
3/5 is already a fraction so adding it with another fraction will NOT equal an irrational number (decimal)
-0.75 is equal to -3/4 (75/100 => 3/4). Same thing that applies above.
However, Pi cannot be expressed as a fraction exactly. You can round up like 3.14. However it is not the full number. So 3.141592654....+(3/4) is not going to add up perfectly into a fraction.
In short, a fraction is a rational number. Rational + Rational = Rational. Irrational + Rational = Irrational.
Answer:
A (pi)
Step-by-step explanation:
Pi is already an irrational number, therefore, anything added to it must become irrational
Simplify:
(18)2(3)2(4)3
(6)2(2)3
A) 81
B) 124
C) 140
D) 648
Answers
Answer:
The value of a = 4 and b = 3 make the equation true, the correct option is D.
Step-by-step explanation:
Square root
The square root is defined as the value given the original value.
Given information
Equation;
The values of a and b are;
On comparing with the equation both sides;
The value of a is 4 and b is 3.
Hence, The value of a = 4 and b = 3 make the equation true, the correct option is D.
At a certain time of day, a sign 8 ft tall casts a shadow 6 ft long. How long is the shadow of a 6 ft tall person at the same time?
Answers
Answer:
4ft tall
Step-by-step explanation:
what ABOUT THIS ONE
AND HOW IS EVERY ONE DURING LOCKDOWN
Answers
A = 2pir^2 + 2pirh
=> 2pi(7)^ + 2pi(7)(12)
=> 835.66 cm^2
Answer:
835.24 cm²
Step-by-step explanation:
2(pi × r²) + ( 2 × pi × r × h)
2(3.14 × 7²) + (2 × 3.14 × 7 × 12)
835.24 cm²