A rectangular field is fully enclosed with 218 meters of fencing. The length of the field is
17 meters longer than the width, w.
The length and width of a rectangular field fully enclosed with 218 metes fencing are 63 meters and 46 meters respectively.
The perimeter of a rectangle is the sum of the whole four sides. Therefore, the perimeter of a rectangle is defined as follows:
perimeter = 2(l + w)where
l = length
w = width
perimeter = 218 meters
The length of the field is 17 meters longer than the width, w. Therefore, the length is defined as follows:
l = 17 + wThe length and the width can be calculated as follows:
218 = 2(l + w)
218 = 2(17 + w + w)
218 = 34 + 4w
218 - 34 = 4w
184 = 4w
divide both sides by 4
w = 184 / 4
w = 46 meters
length = 17 + 46
length = 63 meters
learn more on rectangle here: https://brainly.com/question/15989799?referrer=searchResul
If the 3rd term in an arithmetic sequence is 10 and the sum of the 1st 6 terms is 72. The fifth term is.
Answer:
5th term = 18
Step-by-step explanation:
a1 + a1+d a1 + 2*d a1+3d a1 + 4*d a1 + 5d
a1 + 2d = 10
6*a1 + 15d = 72
Multiply the first equation by 6
6a1 + 12d = 60
Write the above equation underneath the second equation
6a1 + 15d = 72
6a1 + 12d = 60 Subtract
3*d = 12 Divide by 3
d = 12/3
d = 4
a1 + 2d = 10
a1 + 2*4 = 10
a1 + 8 = 10 Subtract 8 from both sides
a1 - 8 = 10- 8
a1 = 2
The fifth term is
t5 = 2 + 4*4
t5 = 18
Here’s the zoomed graph!
Answer:
10x + 15
Step-by-step explanation:
Answer:
I dont know what the question is asking you but im assuming it was asking you what is the equation:
Slope = 10.
Equation: y=10x+15
Y-intercept: 15
---------------------
Hope this helps!
Step by step? Just ask.
Doubt? --> comment section.
Happy Holidays! (✿◡‿◡)
Bob is buying groceries at the store. The price before tax is $57, and after tax the total is $62.91. What is the sales tax applied to the groceries? Round to the nearest hundredth.
How do I solve this triangle?
Answer:
check the length and the angles and check the height of it
I’m stuck on this question, can anybody help?
Answer: 1/4
Step-by-step explanation:
Noon is 12:00
Supposing that each number is one hour
15 minutes = 1/4 hrs
And therefore 12:15 PM is represented as 1/4
5 ex to the power of 2. minus 36 ex. + 36. = 0
Answer:
The answer is x=6
Is the answer 8? If so, what is the unit?
Step-by-step explanation:
that depends on the expected unit rate.
there are infinite correct answers to this as it is stated. including the initial numbers.
2 miles in 0.25 hours is by itself already a unit rate :
2 m/0.25h
but if we want it to be the classical miles per hour rate for speed, then we need to calculate how many miles she would have run with the same speed in 1 hour.
when we change the denominator of a fraction or ratio by multiplication, but want to keep the overall value of the fraction unchanged, then we need to apply the same factor also to the numerator.
what is the factor for 0.25 hours to create 1 hour ?
you know that 0.25 = 1/4.
0.25 × f = 1
f = 1/0.25 = 1 / 1/4 = 4
we need to multiply by 4 to get 1 hour as denominator.
therefore, by keeping the ratio value unchanged, the whole operation is then
2 m/0.25h × 4/4 = 8 m/1 hour = 8 m/h
the answer is therefore only 8, if we required mph or m/h as unit rate.
we could just as easily request "miles / 10 hours", and we would get 80 as answer. or 0.13 as per 0.13 miles/minute. and so on. infinite possibilities.
you see ? the question in that form is actually not complete.
5^2 + (6.7 - 3.1)
plz help
We begin by calculating the expression inside the parentheses
[tex] {5}^{2} + (6.7 - 3.1) \\ {5}^{2} + (3.6)[/tex]Simplify exponents and square roots
[tex] {5}^{2} + 3.6 \\ 25 + 3.6 \\ = 28.6[/tex]Would the point (4, -2) fall on the graph of y = -0.5x?
No
Yes
Functions can be represented on graphs and vice versa.
It is true that point (4,-2) is on the graph of [tex]y = -0.5x[/tex] i.e. the statement is Yes
The function of the graph is given as:
[tex]y = -0.5x[/tex]
To determine if the point (4,-2) will fall on the graph, we simply substitute 4 for x in the given function.
[tex]y = -0.5\times 4[/tex]
[tex]y = -2[/tex]
The y value for (4,-2) is -2, and the calculated y value for [tex]y = -0.5x[/tex] when x = 4 is -2.
Hence, it is true that point (4,-2) is on the graph of [tex]y = -0.5x[/tex]
Read more about graphs and functions at:
https://brainly.com/question/3939432
which of the follwing equations has the same solution as 3x-5=5x+11?
a. 2x-5=11 b. 3x=5x+6 c. 3x+6=5x d. -5=2x+11
Answer:
-5 = 2x + 11
Step-by-step explanation:
3x - 5 = 5x + 11
→ Minus 5x from both sides
-2x - 5 = 11
→ Add 5 to both sides
-2x = 16
→ Divide both sides by -2
x = -8
Help please I’ll give the highest point ! :)))) tysm I need it done by 10:20
Answer:
hope it helps you.........
Answer:
10/14 - 7/14 = 3/14 :D
Step-by-step explanation:
you have to find the common denominator, in this case its 14. then, whatever number you multiplied the denominator by, you have to multiply the numerator by. so, 5/7x2= 10/14, and 1/2x7 = 7/14, then its just 10-7 which equals 3
HELP ASAP NO LINKS
Amir invested money in an account where interest is compounded every year. He made no withdrawals or deposits.
The function A(t) = 575(1 + 0.06) represents the amount of money in the account after years. How much money did Amir originally invest?
O A. $646.07
OB. $609.50
OC. $575.00
O D. $500.00
Answer: the answer is B which is $609.50
Step-by-step explanation:
I mean the equation is already set up all there is to do is solve put it in the calculator and you should get $609.50
Answer:
What that other person said
What is the equation of the line that passes through the point (-5, -2) and
has a slope of -6/5
Answer:
y=-6/5x-8
Step-by-step explanation:
Because you know the slope of the line, you can put it into the slope-intercept form equation:
y=-6/5(x) +b
Then plug in the x and y values which are -5 and -2:
-2=-6/5(-5) +b
Now you can solve for b:
-2=6 +b
-8=b
Now that you know b and already have the slope, plug those into the equation:
y=-6/5x -8
Grocery Store A is selling bananas for $0.75 for 12 pound. Grocery Store B is selling 5 pounds of bananas for $3.75.
Which store is offering the best unit rate? Show your work.
Step-by-step explanation:
3.75/5=0.75
75 cents per banana for B
0.75/12=0.0625
0.0625 per banana for A
grocery a has the best and lowest unit price.
my Christmas present to you
Answer:
TY
Step-by-step explanation:
Alex wants to buy the same number of stamps and envelops. Stamps are sold in packs of 14 and envelops are sold in the packs of 10.
What is the least number of each he could buy to have the same number of stamps and envelops?
Please show work
Answer:
70
Step-by-step explanation:
the least common multiple of 10 and 14 will be the answer
the prime factorization of 10 is 2 and 5
the prime factorization of 14 is 2 and 7
so you can multiply the number in common, 2, by the ones not common, 5 and 7
2 x 5 x 7 = 70
A treasure map says that a treasure is buried so that it partitions the distance between a rock and a tree in a 5:9 ratio. Marina traced the map onto a coordinate plane to find the exact location of the treasure. X = (StartFraction m Over m n EndFraction) (x 2 minus x 1) x 1 y = (StartFraction m Over m n EndFraction) (y 2 minus y 1) y 1 What are the coordinates of the treasure? If necessary, round the coordinates to the nearest tenth. (11. 4, 14. 2) (7. 6, 8. 8) (5. 7, 7. 5) (10. 2, 12. 6).
The location of the treasure on the treasure map is (b) (7.6,8.8)
The ratio is given as:
[tex]m : n = 5 : 9[/tex]
The coordinates of the rock and the tree are:
[tex]Rock =(3,2)[/tex]
[tex]Tree = (16,21)[/tex]
The x and y coordinates of the location of the treasure are:
[tex](x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})[/tex]
So, we have:
[tex](x,y) = (\frac{5 \times 16 + 9 \times 3}{5 + 9},\frac{5 \times 21 + 9 \times 2}{5 + 9})[/tex]
[tex](x,y) = (\frac{107}{14},\frac{123}{14})[/tex]
[tex](x,y) = (7.6,8.8)[/tex]
Hence, the location of the treasure is (b) (7.6,8.8)
Read more about line segment ratios at:
https://brainly.com/question/14382744
If someone can ride a skateboard 2 miles in 10 minutes how many miles can still ride the skateboard and 1.5 miles
Answer:
7 and a half minutes. have a good one.
Triangle 1 is composed of line segments AB, BC, and CA.
Triangle 2 is composed of line segments DE, EF, and FD.
The triangles are similar with a scale of 5:2.
Select the true statement about the proportions of the sides.
Answer:
Screenshot
Step-by-step explanation:
Given that both triangles are similar and have a scale of 5:2, therefore the true statement about the proportions of the sides is:
B. AC/DF = 5/2
What are Similar Triangles?Similar triangles have corresponding side lengths that are proportional in length.Similar triangles have same shape but are of different sizes.Thus, given that both triangles are similar and have a scale of 5:2, therefore the true statement about the proportions of the sides is:
B. AC/DF = 5/2
Learn more about similar triangles on:
https://brainly.com/question/2644832
1. A vendor at the farmer's market was selling a bag of 8 potatoes for $2.56. Another
vendor was selling a bag of 10 potatoes for $4.32. Which bag is the better deal?
Pls hurry
Answer:
8 potatoes for $2.56 is the better deal.
Step-by-step explanation:
unit price formula; cost ÷ quantity
2.56 ÷ 8 = $0.32
4.32 ÷ 10 = 0.432
round to the nearest hundredth
= $0.43
compare the answers
Answe 42.2
Step-by-step explanation:
The other vender because he got 42.2 dollar other got 20.48
If a cube has a volume of 1 cubic unit, how long is one of its edges?
Answer:
Step-by-step explanation:
If the volume of a cube is 64 cubic inches, Possible Answers: 2 in. 4 in. 9 in. 6 in. 8 in.
Tom has a piece of wood that is 10 and 1/3 inches long. He divides the wood into pieces that are 2 and 1/5 inches long. How many pieces will he have?
Which graph represents a system of equation within solution?
Answer:
B
Step-by-step explanation:
In B, the lines are parallel meaning they will never intersect and have no solution. However, in C you can tell that the lines will intersect eventually so it does have a solution.
Answer:
B
Step-by-step explanation:
From the picture I can see you crossed out A and D, which only leaves B and C. If we extrapolate the graph at C the lines are eventually going to intersect, whereas in B the lines are going in parallel against each other, meaning there will never be an intersection between the two. So B would represent a system of equations with no solutions.
You deposit $50 in your saving account and then add $20 per month. Would this equation be linear or exponential?
Group of answer choices
Exponential
Linear
If e=9, find the value of 4e
Answer:
y = a e bx, b > 0
Step-by-step explanation:
took this test and got an A++
Answer:
36
Step-by-step explanation:
if e=9 then you multiply 4 by 9. E is known as a varible. Varibles are a way to substitue numbers you do not know.
how do you solve this question
Let the ceilings be a & b
and the distance from one corner of the ceiling to the opposite be c
then using Pythagoras theorem
[tex]c = \sqrt{a {}^{2} + b {}^{2} } \\ c = \sqrt{16 {}^{2} + 12 {}^{2} } \\ c = \sqrt{256 + 144 } \\ c = \sqrt{400} \\ c = 20[/tex]
hence ,c .°. the distance from one corner of the ceiling to the opposite is 20
The range of f(x) = |x| is y ≥ 0. If a < 0 and b ≠ 0 for g(x) = a|x| + b, what is the range of function g?
Answer:
blue or maybe green try purple
what is the perimeter of 4in. 4in.
Perimeter = 4 × side
[tex] = 4 \times 4 \\ = 16in[/tex]
The perimeter of a 4-inch square is 16 inches.
Joe has eaten 3/5 of a pizza. Jane has eaten 1/9 of a pizza . How many times more pizza has joe earthen then Jane
Answer:
5/10 more
Step-by-step explanation: