A shop sells fence panels with a wooden frame going all the way round each panel. The price of each panel is based on the area of the panel and the length of the wooden frame around the panel.
Use the prices given given in the attachment to find out how much the shop charges per square metre of the panel and per metre for the wooden frame .
a) Each 1m² of fence panel costs:?
b) I metre of wooden frame costs:?
Plz answer this question.
Answers
Answer:
a) Each 1m² of fence panel costs: £2
b) I metre of wooden frame costs: £1
Step-by-step explanation:
Let the price of 1 sq.m. of fence panel be x
Let the price of 1 m of wooden frame be y
In Fig 1
Length = 4 m
Breadth = 3 m
Area =[tex]Length \times breadth = 4 \times 3 = 12 sq.m.[/tex]
Cost of 1 sq.m. = x
Cost of 12 sq.m. = 12x
Perimeter =2(l+b)=2(4+3)=14 m
Cost of 1 m of wooden frame = y
Cost of 14 m of wooden frame = 14y
We are given that total cost of framing and fencing is 38
So. 12x+14y=38 ----1
In Fig 2
Length = 6 m
Breadth = 2 m
Area =[tex]Length \times breadth = 6 \times 2 = 12 sq.m[/tex].
Cost of 1 sq.m. = x
Cost of 12 sq.m. = 12x
Perimeter =2(l+b)=2(6+2)=16 m
Cost of 1 m of wooden frame = y
Cost of 16 m of wooden frame = 16y
We are given that total cost of framing and fencing is 40
So. 12x+16y=40---2
Substitute the value of 12x form 1 in 2
38-14y+16y=40
2y=2
y=1
Substitute the value of y in 2
12x+16=40
12x=24
x=2
So, cost of 1 sq.m. of fence panel is 2 and cost of 1 m of wooden frame is 1
In fig 3
To verify :
Length = 3 m
Breadth = 5 m
Area = [tex]Length \times breadth = 3 \times 5 = 15 sq.m.[/tex]
Cost of 1 sq.m. = 2
Cost of 12 sq.m. =[tex]15 \times 2 = 30[/tex]
Perimeter =2(l+b)=2(3+5)=16 m
Cost of 1 m of wooden frame = 1
Cost of 16 m of wooden frame = 16
So, Total cost = 30+16=46
We are given that cost of fencing and framing is 46
Thus verified
Hence
a) Each 1m² of fence panel costs: £2
b) I metre of wooden frame costs: £1
Related Questions
You and your friend are playing a game where you spin a circular spinner with nine numbered sections of equal
size. In this game, you win if the spinner lands on 1, 4, or 7. Your friend wins if the spinner lands on 2.5. or 8.
You tie if the spinner lands on 3. 6. or 9.
All the possible outcomes of the game are listed in the sample space
S = {1,2,3,4,5,6,7,8,9).
If we take A = {1.3.4.6:7.9} as a subset of the sample space, which of the statements below describe the
subset A?
Choose all answers that apply:
Answers
Answer:
-The subset consists of all of the outcomes where you do not lose.
-The subset consists of all of the outcomes where your friend loses, or there is a tie.
Step-by-step explanation:
Khan Academy
Statements that describe the subset A are option (a) and option (d).
What is a subset?A set of which all the elements are contained in another set. Subset can be empty or equal to the set.
Given sample of space S = {1,2,3,4,5,6,7,8,9}
And subset M of S = {1,4,7} where you win in the spinner game.
If the spinner lands on the subset N of S = {3,6,9} , you tie.
Given A = {1,3,4,6,7,9,} is a subset of S.
Now to verify the options;
In option (a) ;
The subset consists of all the outcomes where you win that means your friend loses or there is a tie. Because subset A does not contain any elements of subset {2,5,8}, where you lose.
In option (b) ;
The subset consists of all the outcomes where your friend ties. That means subset should only contain the elements of subset N = {3,6,9}. Which is clearly not. So this option is incorrect.
In option (c) ;
The subset consists of all the outcomes where there is not a tie and your friend does not win. That means subset S should only contain the elements from {1,4,7}. which is contradiction so this option is also incorrect.
In option (d) ;
The subset consists of all the outcomes where you do not lose. That means subset does not have any element from {2,5,8}.
Hence Correct answers are option (a) and option (d).
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The complete question is ;
You and your friend are playing a game where you spin a circular spinner with nine numbered sections of equal size. In this game, you win if the spinner lands on 1,4, or 7. Your friend wins if the spinner lands on 2,5, or 8. You tie if the spinner lands on 3,6, or 9.
All the possible outcomes of the game are listed in the sample space S= { 1,2,3,4,5,6,7,8,9} If we take A= { 1,3,4,6,7,9} as a subset of the sample space, which of the statements below describe the subset A?
a) The subset consists of all the outcomes where your friend loses or there is a tie.
b) The subset consists of all the outcomes where your friend ties.
c) The subset consists of all the outcomes where there is not a tie and your friend does not win.
d) The subset consists of all the outcomes where you do not lose.
Jarods bicycle wheel has a diameter of 27 inches. How far will the wheel have traveled in one full rotation? Use 3.14 for pi
Answers
Answer:
84.78 in
Step-by-step explanation:
in order to figure out how long it will travel you will need to find the circumference in order to do that you have to do [tex]2 *\pi * radius[/tex] so that is [tex]2*3.14*13.5[/tex] which equals 84.78
A 20-inch bicycle has tires with a diameter of 20 inches. What is the circumference of these tires?
31.4 inches
62.8 inches
314 inches
1256 inches
Answers
Answer:B
Step-by-step explanation:
c=2nr or c=nd
2*3.14 * 10= 62.8
3.14 * 20= 62.8
The circumference of the tires is 62.8 inches.
What is Circumference?Circumference of a circle is defined for non straight curves which is the length of the boundary of the curve.
Given that, a 20-inch bicycle has tires with a diameter of 20 inches.
Diameter of the tire = 20 inches.
Radius of a circle or a circular object is half of the diameter of it.
Radius of the tire = 20 / 2 = 10 inches
Circumference of a circular object = 2πr, r is the radius.
Circumference of the tire = 2π r
= 2 (3.14) (10)
= 62.8 inches
Hence the circumference of a bicycle tire is 62.8 inches.
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Graph the equation below by plotting the
y-intercept and a second point on the
line. When you click Done, your line will
appear.
Answers
Answer:
Step-by-step explanation:
Answer: Second point is (0.833,0)
Step-by-step explanation:
1. To determine slope you must use this formula Y= Mx + B
- M is the slope (positive or negative)
- B is the y-intercept
2. To find y-intercept you use (0, B)
3. M = -6/1
- 6 units down and 1 unit to the right since the slope is negative.
X is at least 2" can be represented by x > 2.
True
False
Answers
Answer:
True
Step-by-step explanation:
Explanation: if x was atleast 2, the sign would have to be a ‘greater than or equal to’ sign, not just a greater than sign
hope this helped! :)
i just need the work for 11 & 12. i know the answer for 11 is (16,4) and 12 is (5,7) but i don’t know how to work it out to get those answers. (solving a system of linear equations)
Answers
Answer:
Step-by-step explanation:let x be the number of bicycles,
let y be the number of tricycles
given x+y=20→equation 1
also given 2x+3y=44→equation 2
from eq 1, y=20-x
substitudin ineq 2
2x+3(20-x)=44
2x+60-3x=44
60-x=44
-x=44-60
=-16
x=+16
then y=20-16=4
no of bicycles=16
no of tricycles=4
hope this helps
plzz mark me brainliest
wil give bianleast
What are the first four terms in the multiplication pattern given by the formula: 2 • 4n?
8, 32, 128, 512
8, 32, 64, 512
2, 8, 32, 128,
32, 128, 512, 2048
Answers
Answer: B, but technically, all of them are correct except C.
Step-by-step explanation:
First, you fill in 1 for n:
= 2 x 4(1)
= 2 x 4
= 8
Next, I filled in 4 for n:
= 2 x 4(4)
= 2 x 16
= 32
Then, I filled in 8 for n:
= 2 x 4(8)
= 2 x 32
= 64
You can already figure this one out, and the answer is B.
Answer:
all are correct except the third choice.
Is this angle acute right obtuse or straight
Answers
Answer:
obtuse
Step-by-step explanation:
Over 90 degrees
Answer:
Obtuse
Step-by-step explanation:
The angle is obtuse because the angle is more than 90 degrees.
help me you don’t have to explain!!
Answers
Answer:
option b ................
7. The distance between point (–4, 5) and another point is 10. What are the possible
coordinates of the other point?
A (2, 2)
B (2, 3)
C (2, –3)
D (–2, –3)
Answers
Answer:
D (-2, -3)
Step-by-step explanation: The distance is 10 units, so you take -4 (x) and go over 2 spaces so your at x = -2, and 2 units are down, 8 more to go. Then for (y) you do 5-8 and get -3 so now y = -3 . Now you have moved 10 spaces because 2 + 8 = 10 spaces, and are left at D (-2, -3).
The Distance Between -4 And 2 Is 6 (6^2=36)
The Distance Between 5 And -3 Is 8 (8^2=64)
36+64 =100 Sq Root Of 100 Is 10
HELP!!!!!!!!!
Plz Show working:)
Answers
Step-by-step explanation:
Hope this help you !! ;))answer of (ii) : perimeter = 66m
area = 272m^2
Please help due in 30 min
Answers
Answer:
take your time dont rush
Step-by-step explanation:
Twenty people apply for an open position at an accountant's office. The distribution of ages of the applicants is shown in the box plot.
Distribution of Applicant's Ages
How many of
age in years
the applicants have ages that fall within the box of the box plot?
Please help!!!!
Answers
Answer:
The number of applicants that have ages that fall within the box of the boxplot = 10.
Step-by-step explanation:
box plot is constructed from five values: the minimum value, the first quartile, the median, the third quartile, and the maximum value.
The boxplot usually consists of a box and a whisker plot.
The whiskers represent data that is less than the first quartile or 25th percentile and data that is more than the third quartile or 75th percentile.
The box of the boxplot is bounded by the first quartile or 25th percentile and the third quartile or 75th percentile.
Hence, the fraction of the distribution that is usually contained in the box of the boxplot is (75 - 25), 50% of the distribution.
The total number of applicants = 20
50% of 20 = 10.
Hence, the number of applicants that have ages that fall within the box of the boxplot = 10
Hope this Helps!!!
The volume of this square pyramid is 200in^3. Find the value of x.
Answers
Answer:
x = 5 in.
Step-by-step explanation:
Volume = 1/3 * area of the base * height
200 = 1/3 * 8*15 * x
200 = 40x
x = 5 in.
HELP ASAP 30 POINTS!~!!!
You start with a penny which doubles each day for 30 days. How much money would you have after 30 days?
Answers
{1, 5, 10, 15} {1, 3, 5, 7} Which of the following shows the union of the sets?
Answers
Answer:
{1, 5}
Step-by-step explanation:
the union is all the values in both sets. The only shared numbers in these two sets are 1, and 5. therefore, the union of the sets is {1, 5}
Hope this helps have a great day! <3
also, pls mark brainliest!!
Solve this system of linear equations. Separate
the x- and y-values with a comma.
6x + 3y = -21
12x + 8y = -52
Enter the correct answer.
Answers
Answer:6.71
Step-by-step explanation:
helphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelp
Answers
Answer:
A proportional relation is a logical relation that establishes a range of conditional relations that together involve direct or inverse correlation.
Some common unit rates are miles (or kilometers) per hour, cost per item, earnings per week, etc. In each case the first quantity is related to 1 unit of the second quantity.
A unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity.
I have to make sure that there is at least one variable that directly effects another.
Some equations are y = 3x, y = 1.5x, and y = 2/3x.
Step-by-step explanation:
A runner won a 100-meter race with a time of 9.73 seconds. How can you use place value to explain this time?
Answers
Answer: The runner is going exactly 10.2774922919 meters per second
Step-by-step explanation: Using the ratio 100:9.73, we can simplify that to 10.2774922919:1
In that school, what is the ratio of the number of students who like math to the number of students who like science? (see picture)
Answers
Answer: 1/2:1/3
I hope this helps
Step-by-step explanation:
In the problem it says 1/2 of the students in the school like math, and it also says in the problem that 1/3 of the students in the school like science. The question is asking for a ratio of students who like math to students who like science, so now the only thing you need to do is input those 2 numbers in the order that they want it in. Which is 1/2:1/3. And don't forget that the colon : is what you always put in between the two numbers.
If this helped you please mark as brainliest :)
Brainliest and 10 points for answer!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
How do you find the x- and y-intercepts of an equation?
A) To find the x-intercept, substitute 0 for x. To find the y-intercept, substitute 0 for x.
B) To find the x-intercept, substitute 0 for x. To find the y-intercept, substitute 0 for y.
C) To find the x-intercept, substitute 0 for y. To find the y-intercept, substitute 0 for x.
D) To find the x-intercept, substitute 0 for y. To find the y-intercept, substitute 0 for y.
Answers
Answer:
To find the x-intercept of a given linear equation, plug in 0 for 'y' and solve for 'x'. To find the y-intercept, plug 0 in for 'x' and solve for 'y'.
Answer:
C
Step-by-step explanation:
A, B, and D don't make sense
Need help asappp
Find the surface area of a triangular prisms, base measures 10 cm, height measures 12 cm, sides measure 13 cm
Answers
Answer:
552
Step-by-step explanation:
What is the completely factored form of f(x) = x^3 – 2x^2 – 5x + 6?
Answers
Answer:
D
Step-by-step explanation:
Answer:d
Step-by-step explanation:
priya finds (1.05) x (2.8) by calculating 105 x 28 then moving the decimal point three spaces to the left
Answers
Answer:
Yes, That is correct.
Step-by-step explanation:
Example: Multiply 0.05 by 1.1
start with:
0.05 × 1.1
multiply without decimal points:
5 × 11 = 55
0.05 has 2 decimal places,
and 1.1 has 1 decimal place,
so the answer has 3 decimal places:
0.055
Priya's method easy finds the product of decimals because multiplying whole numbers is easier than multiplying decimal numbers.
Given that, Priya finds (1.05) × (2.8) by calculating 105 × 28 and then moving the decimal point three spaces to the left.
We need to explain why Priya's method makes sense.
How to multiply two decimals?To multiply decimals, first, multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.
Now, 105 × 28 = 2,940
Moving the decimal point three spaces to the left, we get 2.940.
Also, (1.05) × (2.8) =2.940
Therefore, Priya's method easy finds the product of decimals, because multiplying whole numbers is easier than multiplying decimal numbers.
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Your question is incomplete, probably the complete question/missing part is:
Priya finds (1.05) × (2.8) by calculating 105 × 28 and then moving the decimal point three spaces to the left. Why does Priya's method make sense?
Math question down below
Answers
Answer:
E
E is the only one that ends with 70 and is also all multiples of 6.
The regular hexagon has a radius of 4 in.
What is the approximate area of the hexagon?
O 24 in.2
0 42 in.2
048 in 2
084 in 2
4 in
Answers
Answer:
42
Step-by-step explanation:
A=33
2a2=3·3
2·42≈41.56922
Answer:
42
Step-by-step explanation:
Which is the graph of g(x) = [X + 3]?
Answers
Answer
D or the fourth one because i took the quiz and got it right
How do you find the area of a pizza with a diameter is 18 inches
Answers
Answer:
The area of the pizza with a diameter of 18 inches is 254.34 inches.
Step-by-step explanation:
The formula to find the area of a cirlce is A = pi x r^2 or pi times radius squared.
Second, we need to find our radius. To find the radius we need to divide the diameter by 2 to get the radius. In this case; 18 divided by 2 is 9.
Then, we need to plug the radius in the formula:
A = 3.14 x 9^2
9 squared or 9 times 9 equals 81
Next, multiply 81 by 3.14 and you get 254.34
Lastly, add the units of measurement, which would be inches.
Median income is the
A. the middle income reported
B. income in the middle of the data set when incomes are arranged from least to greatest
C. total incomes reported divided by the total number of people surveyed
D. income reported most frequently
Answers
Median income is the income in the middle of the data set when incomes are arranged from least to greatest.
What is the median income?Median is a measure of central tendency that is used to describe the number that is in the middle of a set of numbers that are arranged either in ascending or descending order
For example, the income of 3 workers for march are : $1000, $5000, $10,000. The median income is $5000.
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Which statement must be true?
Answers
Answer:
A
the two are parallel
Step-by-step explanation:
I hope its right
good luck!
