Answer:
The dimensions of the field is 185 yards by 48 yards
Step-by-step explanation:
Here, we are interested in calculating the dimensions of the field.
Let the width of the field be x yards
From the question, we are made to know that the length of the field is 7 yards less than quadruple ( 4 times) the width
So mathematically, the length of the field will be ;
(4x -7) yards
The perimeter of the field mathematically is:
2(l + b)
Thus;
2(x + 4x- 7) = 466
2(5x -7) = 466
divide both side by 2
5x - 7 = 466/2
5x - 7 = 233
5x = 233 + 7
5x = 240
x = 240/5
x = 48 yards
Length of field is; 4x -7 = 4(48) -7 = 192 - 7 = 185 yards
Describe the relationship between the angles!! HELP ME PLZ
Answer:
1. alternate exterior angles
2. co-interior angles
3. corresponding angles
4. alternate interior angles
5. corresponding angles
6. co-interior angles
the Function h(x)=2(x+3)/x is a result of the composition. If g(x)=2/x, what is f(x)
Answer:
its b
Step-by-step explanation:
i just did it.
Solve the Following expression d=5 2d+4d-9-7=
Answer:
14
Step-by-step explanation:
d=5 so
2(5)+4(5)-9-7
10+20-9-7
30-9-7
21-7
14
Answer:
2×5+4×5-9-7.
10+20-9-7.
=14.
Answer:
2×5+4×5-9-7.
10+20-9-7.
=14.
The average of x and t is y. If s = 2y, what is the average of s, x,
and t in terms of y?
А. Зу
B. 2y
C. 5y/3
D. 4y/3
E. y
===================================================
Explanation:
First focus on the fact that "the average of x and t is y". This means
(x+t)/2 = y
We basically add x and t, then divide by 2 to get the average y
--------
We are then told that s = 2y, so we double the average
s = 2y
s = 2(x+t)/2
s = x+t .... notice the 2's cancel each other out when dividing
s turns out to be the sum of x and t, which is fitting I think
---------
Now find the average of s, x, and t. You'll add the three values and divide by 3
(s+x+t)/3
(s + (x+t))/3
(s + s)/3 .... replace x+t with s
2s/3
2(2y)/3 ... plug in s = 2y
4y/3
The average of s, x, and t in terms of y is 4y/3. The correct option is D. 4y/3
Calculating AverageFrom the question, we are to determine the average of s, x, and t in terms of y
From the given information
The average of x and t is y
That is,
(x+t)/2 = y
∴ x + t = 2y
Also,
s = 2y
The average of s, x, and t is
(s + x + t) / 3
Putting the values of x + t and s into the above expression, we get
(2y + 2y)/3
This becomes
4y/3
Hence, the average of s, x, and t in terms of y is 4y/3. The correct option is D. 4y/3
Learn more on Calculating average here: https://brainly.com/question/20118982
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If the volume of a cube is 125 cubic meters, what is the length of each arm?
Translated in Bengali
একটি ঘনকের আয়তন ১২৫ ঘন মিটার হলে , এর প্রতি বাহর দৈর্ঘ্য কত?
Answer:
5 metres.
Step-by-step explanation:
The volume is the length of each edge cubed,
so x^3 = 125 where x is that length.
x = ∛125
= 5.
Answer:
5
Step-by-step explanation:
2(8n2 + 9n) +
+ 9n) + 3(4n- 7n)
Answer:
n = 0 or n = -9/16
Step-by-step explanation:
Solve for n:
2 (8 n^2 + 9 n) - 9 n = 0
Hint: | Write the quadratic polynomial on the left hand side in standard form.
Expand out terms of the left hand side:
16 n^2 + 9 n = 0
Hint: | Factor the left hand side.
Factor n from the left hand side:
n (16 n + 9) = 0
Hint: | Find the roots of each term in the product separately.
Split into two equations:
n = 0 or 16 n + 9 = 0
Hint: | Look at the second equation: Isolate terms with n to the left hand side.
Subtract 9 from both sides:
n = 0 or 16 n = -9
Hint: | Solve for n.
Divide both sides by 16:
Answer: n = 0 or n = -9/16
2 x (16+ [1 +9+(5-2)]? – 3] – 22
Step-by-step explanation:
2 x (16 + (10 + 3) - 3) - 22
2 x (16 + 13 - 3) - 22
2 x 26 - 22
2 x 4
= 8
Brad get an allowance of $16 each week, and his younger sister Samantha gets an allowance of $9 each week. Brad save one-half of his allowance and Samantha saves two-thirds oh her allowance. Suppose brad started with $0 savings and Samantha started with $40. How many weeks will it take until they have the same amount in savings?
Answer:
160
Step-by-step explanation:
What is 516x4.2 it is for school i would appreciate the answer.
Answer:
2167.2
Step-by-step explanation:
Answer:
2167.2
Step-by-step explanation:
For this problem, let's use the distributive property to make this multiplication easier.
4.2 can be redistributed into 4 & 1/5, as 0.2 == 1/5.
Now let's multiply these numbers with 516.
(516 * 4) + (516 * 1/5) == ?
(2064) + (103.2) == ?
2167.2 == ?
So the product of 516 and 4.2 is equal to 2167.2.
Cheers.
Round 72895.4177829 to the nearest ten.
The resulting number is 72895.5.
To round the number given on statement we must truncate all digits that are less than a tenth and ascend the tenth digit to its next one. Please notice than tenth digits is the digit right after the separator.
Step 1 - Truncate digits less that a tenth:
[tex]x = 72895.4[/tex]
Step 2 - Ascend the tenth digit to its next one:
[tex]x = 72895.5[/tex]
We kindly invite to see this question related to rounding: https://brainly.com/question/2323275
help me find the area and perimeter please
Answer:
Area = length × width = 15 × 9 = 135
Perimeter = 2 × (length + width) = 2×(15 + 9) = 48
The two rectangles shown below are similar.
13 inches Find the surface chea of a rectangular prism with a height of 6 inches a width of 7 inches, and a length of 13 inches.
Answer:
422 Square Inches
Step-by-step explanation:
6x7=42
7x13=91
6x13=78
(2)42+(2)91+(2)78=422
You are multiplying each calculation by 2 because a rectangular prism has 6 sides. 2 sides height x width, 2 sides height x length, and 2 sides width x length
y = 2x – 1
Please help
Clara wants to paint her bedroom skyblue ,so she mixes blue and white paint.Then she decided to mix paint for her living room.To make sure she has enough paint for the larger room,Ciara plans to use double the amount of white paint and double the amount of blue paint.Which room would be the lighter shade
Answer:
the living room
Step-by-step explanation:
4. The Ferris Wheel Problem:
You are riding a Ferris wheel that has a radius of 50 feet. The center of the wheel is
65 feet off the ground. The wheel makes a complete turn every 40 seconds and it
turns counterclockwise, Riders board the wheel at the 6 o'clock position
You can see a beautiful view from the Ferris wheel as long as you are more than 90
feet off the ground. When will you be able to see the view
acer
Answer: the answer is when the wheel is at 70.43° after 7.82seconds from when you ride on it
Step-by-step explanation:
Rule of 3
65ft center meaning the top point at 90° will be at 115ft since the diameter of the wheel is 50ft
If the 90° gets you at 115ft, at what degree will you reach 90ft?
90°----115ft
X°------90ft
(90x90) ÷ 115 = 70.43°
Then if 360° takes 40seconds which is the complete turn
360°----40s
70.43°--X
(70.43 x 40) ÷ 360 = 7.82s
12. How does the sum of the exterior angles of a square compare to the sum of the exterior angles of a pentagon?
A The sum of the exterior angles of a square is greater.
B The sum of the exterior angles of a pentagon is greater.
C The two sums are equal.
D There is not enough information to compare the two sums.
Answer:
Option C.
The two sums are equal.
Step-by-step explanation:
In geometry, the sum of the exterior angles of any polygon will always give 360 degrees. This is regardless of the type of polygon, whether it is a triangle, quadrilateral, pentagon, or a decagon.
This means that the sum of the exterior angles of a square is equal to that of the pentagon.
As the number of sides that they have increases, the sizes of their internal angles get smaller, making the sum of their external angles remain at 360 degrees
A vending machine has 5 colors (white, red, green, blue, and yellow) of gumballs and an equal chance of dispensing each.
A second machine has 4 different animal-shaped rubber bands (lion, elephant, horse, and alligator) and an equal chance
of dispensing each. If you buy one item from each machine, what is the probability of getting a yellow gumball and a lion
band? (ANSWER FASTT PLESEE)!
Answer in fraction form = 1/20
Answer in decimal form = 0.05
Answer in percent form = 5%
These are three ways to express the same thing
=============================================================
Explanation:
Assume the gumball machine only has 5 gumballs, one of each color. The probability of getting yellow is 1/5 since there is one that is yellow out of 5 total.
The probability of getting a lion rubber band is 1/4 for similar reasoning as above.
Because the two events (getting yellow, getting a lion) are independent, this means we can multiply the two probabilities to get (1/5)*(1/4) = 1/20
Use your calculator to see that 1/20 = 0.05 which converts to 5% when you move the decimal point over 2 spots to the right.
Find the coordinates of the midpoint of the segment with the endpoints
C(3,5) and D (9,5)
Answer:
(6,5)
Step-by-step explanation:
Formula: ([tex]\frac{x_{1}+x_{2} }{2 }[/tex],[tex]\frac{y_{1} +y_{2} }{2 }[/tex])
([tex]\frac{3+9}{2}[/tex],[tex]\frac{5+5}{2}[/tex])=([tex]\frac{12}{2}[/tex],[tex]\frac{10}{2}[/tex])
=(6,5)
What is the half of 21 in a radius
Answer:
Half of 21 in a radius is 10.5.
Answer:
21/2=10.5
Step-by-step explanation:
21/2
I’m confused on my review question. Help ASAP
y = 8x + 3 when rearranged to solve for x
Answer:
x = Y-3 over 8
Step-by-step explanation:
Y = 8x+3
Take the 3 to the other side by subtracting it
so:
Y-3 = 8x
divide 8 to get only x
x = Y-3 over 8
if 225.00 yields 27.00 in x years as simple interest at the rate of 4% per annum find x
Answer:
3 years
Step-by-step explanation:
By simple interest formula:
[tex]i = \frac{prt}{100} \\ \\ 27 = \frac{225 \times 4 \times x}{100} \\ \\ x = \frac{27 \times 100}{900} \\ \\ x = \frac{2700}{900} \\ \\ x = 3 \: years[/tex]
To fully disprove a conjecture, one needs to find only ONE counterexample.
True
False
10 + 2x + 6x = 26 I need help with that pls :)
Answer:
x=2 is the answer.
Step-by-step explanation:
10+2x+6x=26
10+8x=26
Subtracting 10 on both sides to find out the value of x
10-10+8x=26-10
8x=16
Dividing 8 on both sides
8x/8=16/8
x=2
Hope it will help ^_^
Answer:
x =2Step-by-step explanation: I hope it helps :)
[tex]10 + 2x + 6x = 26\\\\\mathrm{Add\:similar\:elements:}\:2x+6x=8x\\10+8x=26\\\\\mathrm{Subtract\:}10\mathrm{\:from\:both\:sides}\\10+8x-10=26-10\\\\Simplify\\8x=16\\\\\mathrm{Divide\:both\:sides\:by\:}8\\\frac{8x}{8}=\frac{16}{8}\\\\Simplify\\x =2[/tex]
What is the domain and range of the graph below in interval notation? If union is needed, use Capital U. If infinity is needed use inf or -inf Format like this: D: (0,1000) R: (-inf,1000) **note the spaces after and after domain, but no spaces inside intervals.
Answer:
DOMAIN: [tex](-\infty,1]\cup(2,\infty)[/tex]
RANGE: [tex](-\infty,\infty)[/tex]
Step-by-step explanation:
The domain of a graph is the span of x-values covered by the graph, while the range of a graph is the span of y-values covered by the graph.
DOMAIN:
From the graph, we can see that the x-values covers everything to the left of x=1. Then we stop and then continue beginning at x=2 all the way until positive infinity.
However, note that at x=1, the dot is a closed circle while at x=2, the dot is an open circle. Thus, we will include x=1 into our domain but not include x=2 into our domain.
So, our domain is all values greater than or less than 1, and all values greater than 2.
In interval notation, this is:
[tex](-\infty,1]\cup(2,\infty)[/tex]
We use brackets with the 1 because we include it in our domain and we use parentheses with the 2 since we do not.
RANGE:
Looking at the graph, it seems that all y-values are covered. The part of the graph on the left covers all y-values less than or equal to 3, while the part of the graph on the right covers all y-values greater than -1. Thus, all y-values are covered.
Our range is all real numbers.
In interval notation, this is:
[tex](-\infty,\infty)[/tex]
Which value is a solution of the equation x2 (squared) = 49?
X = 98
X = 2,401
X = 24.5
X = 7
Answer:
24.5
Step-by-step explanation:
If you multiply 2 and 24.5 together you would get 49
The value of the solution to the given equation is 7, which is the correct answer that would be option (D).
What is the equation?The term "equation" refers to mathematical statements that have at least two terms with variables or integers that are equal.
The equation is given in the question following as:
x² = 49
We have to determine the value of the solution to the given equation
As per the given question, we have
⇒ x² = 49
⇒ x² - 49 = 0
⇒ x² - 7² = 0
We know that the formula as, a² - b² = (a + b)(a - b)
Here a = x and b = 7, and we get
⇒ (x + 7)(x - 7) = 0
⇒ x + 7 = 0 and x - 7 = 0
⇒ x = - 7 = 0 and x = 7
Thus, the value of the solution to the given equation is 7,
Hence, the correct answer would be an option (D).
Learn more about the equation here:
brainly.com/question/10413253
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There are 24 men, 60 women, and 44 children on a bus. Write the ratio men:women:children in simplest form?
Answer:
6 : 15 : 11
Step-by-step explanation:
men:women:children
24 : 60 : 44
Divide each part by 4
24/4 : 60/4 : 44/4
6 : 15 : 11
ram salary is 1500 which is new salary after an increment of 10%.find his basic salary?
Answer:
1363.6
Step-by-step explanation:
let the basic salary be = x
10% of x = 10/100x
So the equation = x + 10/100x = 1500
= x + 0.1x = 1500
= 1.1x = 1500
= x = 1500/1.1
= x = 1363.6
Dave is making cookies for his niece. He wants to
make 1/2 batches. If the recipe calls for 2 1/4 cups of
flour for one batch, how much flour will he need to
use for 1 1/2 batches?
Answer:2.25 + 4.5 = 6.75 cups of flour
2.25
Step-by-step explanation: 1 batch is already 2.25 in decimal form so just infer from there.. divide 2.25 from .5 and get 4.5 then add to the one batch you've already received .. 4.5 + 2.25 = 6.75 and just convert into a fraction 6 3/4