Answer:
[tex]The \: circle \: has \: a \: bigger \: area \: by \approx 438 \: {ft}^{2} [/tex]
Explanation:
[tex]Diameter \: of \: circle:160 \div 3.14 \approx 51 \: ft \\ Area \: of \: circle : \frac{3.14 \times {51}^{2} }{4} \approx 2038 \: {ft}^{2} \\ Sides \: of \: square:160 \div 4 = 40 \: ft \\
Area \: of \: square: \: {40}^{2} = 1600 \: {ft}^{2} \\ 2038 - 1600\approx 438 \: {ft}^{2} [/tex]
Final answer:
Comparing the areas of a circle and a square with the same perimeter of 160 feet, the circle has a greater area by approximately 435.75 square feet.
Explanation:
We are comparing the areas of a circle and a square which both have a perimeter of 160 feet. For the square, since the perimeter (P) is 160 feet, each side (s) will be P/4, which gives us s = 40 feet. The area of the square (Asquare) is s², so Asquare = 40² = 1600 square feet.
For the circle, the perimeter is the circumference (C), which is 160 feet. The formula for the circumference of a circle is C = 2πr, where r is the radius. So, 160 = 2πr, giving us r = 160/(2π). The area of the circle (Acircle) is πr², so Acircle = π(160/(2π))². After calculation, we find that Acircle ≈ 2035.75 square feet.
Comparing the two areas, the circle has a greater area than the square by Acircle - Asquare ≈ 2035.75 - 1600 ≈ 435.75 square feet.
4/5 divided by 1/4 as a mixed number
To divide 4/5 by 1/4, multiply by the reciprocal of the second fraction to get 16/5, which converts to the mixed number 3 1/5.
Explanation:Dividing Fractions and Conversion to Mixed NumberTo divide two fractions, you multiply the first fraction by the reciprocal of the second fraction. In the case of 4/5 divided by 1/4, you would flip 1/4 to get its reciprocal, which is 4/1, and then multiply it by 4/5.
Step-by-step:
Write the problem as 4/5 × 4/1.Multiply the numerators: 4 × 4 = 16.Multiply the denominators: 5 × 1 = 5.The result of the multiplication is 16/5.To convert to a mixed number, see how many times 5 goes into 16, which is 3 times with a remainder of 1.The mixed number is 3 1/5.Therefore, 4/5 divided by 1/4 as a mixed number is 3 1/5.
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Determine the quotient
2 3/8 / -2 1/2
Answer:
-19/20
Step-by-step explanation:
[tex]2 \frac{3}{8} \div - 2 \frac{1}{2} [/tex]
[tex] \frac{19}{8} \div - \frac{5}{2} [/tex]
Keep Change Flip
[tex] \frac{19}{8} \times - \frac{2}{5} [/tex]
[tex] - \frac{38}{40} = - \frac{19}{20} [/tex]
Mathew got 20 pencils, 3 rulers, 12 erasers,11 pens, 24 notebooks, 8 files, and 11 paper clips from a stationery shop for his brother
Answer:
89
Step-by-step explanation:He bought 89 items because 20 + 3 is 23, 23 + 12 is 35, 35 + 11 is 46, 46 + 24 is 70, and 70 + 11 is 89.
Camden owes $800 on his credit card and $750 on his rent
The total amount of money Camden owes is $1550
Explanation:Hello! remember you have to write complete questions in order to get good and exact answers. Here the question is incomplete so I'll assume you need to know the total amount of money Camden owes. From the statement, we know two facts:
Camden owes $800 on his credit card.Camden owes $750 on his rentLet:
x: Debt on his credit card
y: Debt on his rent
z: Total debt
Then:
[tex]z=x+y \\ \\ x=800 \\ \\ y=750 \\ \\ \\ z=800+750 \\ \\ z=1550[/tex]
So the total amount of money Camden owes is $1550.
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Harold had a summer lemonade stand where he sold small cups of lemonade for $1.25 and large cups for $2.50. Harold sold a total of 155 cups of lemonade and collected a total of $265, how many cups of each type did he sell.
98 small cups of lemonade and 57 large cups of lemonade were sold by Harold.
Step-by-step explanation:
Given,
Cost of small cup of lemonade = $1.25
Cost of large cup of lemonade = $2.50
Total cups sold = 155
Total worth of cups = $265
Let,
x be the number of small cups sold
y be the number of large cups sold
According to given statement;
x+y=155 Eqn 1
1.25x+2.50y=265 Eqn 2
Multiplying Eqn 1 by 1.25
[tex]1.25(x+y=155)\\1.25x+1.25y=193.75\ \ \ Eqn\ 3[/tex]
Subtracting Eqn 3 from Eqn 2
[tex](1.25x+2.50y)-(1.25x+1.25y)=265-193.75\\1.25x+2.50y-1.25x-1.25y=71.25\\1.25y=71.25[/tex]
Dividing both sides by 1.25
[tex]\frac{1.25y}{1.25}=\frac{71.25}{1.25}\\y=57[/tex]
Putting y=57 in Eqn 1
[tex]x+57=155\\x=155-57\\x=98[/tex]
98 small cups of lemonade and 57 large cups of lemonade were sold by Harold.
Keywords: linear equation, elimination method
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WILL MARK BRAINLIEST!!
You buy 6 pairs of socks for $4.50.
Which proportion can be used to find the cost of 9 pairs of socks?
Answer:
$6.75 for 9 socks
Step-by-step explanation:
if 6 pairs of socks is $4.50 you would divided 4.50 by 6 to find the price of one pair of socks. once you do this you find out that one pair of socks is 0.75. to find the price of 9 you multiply 0.75 by 9 and get the answer $6.75
The answer is 4.5/6 = x/9
find the measure of one interior angle of a regular undecagon (11 sided)
Answer:
147.27 degrees.
Step-by-step explanation:
All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the angles, we know that the sum of all the angles is 1620 degrees (from above)... And there are eleven angles... So, the measure of the interior angle of a regular 11-gon is about 147.27 degrees.
The solution is, the measure of the interior angle of a regular 11-gon is about 147.27 degrees.
What is the polygon?A polygon is a two-dimensional geometric figure that has a finite number of sides. The sides of a polygon are made of straight line segments connected to each other end to end. Thus, the line segments of a polygon are called sides or edges.
here, we have,
we know that,
All sides are the same length (congruent) and all interior angles are the same size (congruent).
To find the measure of the angles, we know that the sum of all the angles is 1620 degrees (from above)...
And there are eleven angles...
So, the measure of the interior angle of a regular 11-gon is about 147.27 degrees.
Hence, The solution is, the measure of the interior angle of a regular 11-gon is about 147.27 degrees.
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Micah left for school with 4 boxes of pencils. Each box had 8 pencils.
At school, he gave away 4 pencils from one box.
Which number sentence below can be used to find the total number of pencils that Micah kept ?
A. 4×8-4=x
B. 3×8+4=x
C. 4×8+4=x
D. 3×8-4=x
Answer:
A
Step-by-step explanation:
Roz started with 50 berries in her basket, and then picked another 75 berries every 15 minutes. Which representation matches this scenario?
Which image is a translation of the figure shown below
Answer: image of pi
Step-by-step explanation:
It is known as 3.14
-8=p-13 how do you solve this problem
Answer:
you add -8 to 13
Step-by-step explanation:
-8+13=5
p=5
Answer: 5 = p
Step-by-step explanation: To solve the equation -8 = p - 13, notice that the variable is on the right side of the equation,
don't let this throw you off.
To solve for p, we need to get p by itself on the right side of the equation by adding 13 but if we add 13 to the right side of the equation, we also must add 13 to the left side of the equation.
On the right side of the equation, the -13 and + 13 cancel eachother out and we have p. On the left side of the equation, -8 + 13 is 5 so we have 5 = p which is the solution to our equation.
Find x (Show work to get brainliest)
(-2x + 5) + (5x + 3) = 5
(-2x + 5) + (5x + 3) = 5
3x + 8 = 5
3x = -3
x = -1
(Combine Like Terms)
(−2x+5x)+(5+3)=5 ----> 3x+8=5
Subtract 8 from both sides.
3x + 8 − 8 = 5 − 8 -------> 3x = − 3
Divide both sides by 3.
[tex]\frac{3x}{3} = \frac{-3}{3}[/tex]
x = −1
I NEED THE ANWSER TODAY! PLEASE HELP!
Factor Completely using Grouping:
2x^3+3x^2−18x−27
Answer:- 3
Step-by-step explanation:
Tap for more steps...
x
2
(
2
x
−
3
)
−
9
(
2
x
−
3
)
Factor the polynomial by factoring out the greatest common factor,
2
x
−
3
.
(
2
x
−
3
)
(
x
2
−
9
)
Rewrite
9
as
3
2
.
(
2
x
−
3
)
(
x
2
−
3
2
)
Factor.
Tap for more steps...
(
2
x
−
3
)
(
x
+
3
)
(
x
−
3
)
Answer:
(2x−3)(x+3)(x−3)
Step-by-step explanation:
m*thway factoring polynomial calculator used
The quotient of the sum of 2t and 2 and twice the cube of s
The equation according to the given verbal sentence is [tex]\frac{2 t+2}{2 s^{3}}[/tex] (after solving this [tex]\frac{t+1}{s^{3}}[/tex] ).
Step-by-step explanation:
Rewrite the given verbal sentence and so it will be easier to translate.
Given: The quotient of the sum of 2 t and 2 and twice the cube of s
sum of 2 t and 2 can be written as
2 t + 2
twice the cube of s
[tex]2 s^{3}[/tex]
Now, combine the above according to the given verbal. The quotient of the sum of 2 t and 2 and twice the cube of s means,
2 t + 2 divided by [tex]2 s^{3}[/tex]
Now, the equation would be [tex]\frac{2 t+2}{2 s^{3}}[/tex]
When solving this equation, we get
[tex]\frac{2(t+1)}{2 s^{3}}=\frac{t+1}{s^{3}}[/tex]
The quotient of the sum of 2t and 2 and twice the cube of s is [tex]\frac{t + 1}{s^3} [/tex].
The given parameters:
First number = 2tSecond number = 2Third number = sThe sum of 2t and 2 is written as follows;
sum = 2t + 2
The cube of s is written as follows;
cube = s³
twice the cube of s = 2s³
The quotient of the sum of 2t and 2 and twice the cube of s is calculated as follows;
[tex]= \frac{2t + 2}{2s^3} \\\\ = \frac{2(t + 1)}{2s^3}\\\\ = \frac{t + 1}{s^3} [/tex]
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ASAP plz!!!!!!!!
10 points
FHdhdhdhhdhdjdjddjjdjsjxjxjdjxjdAnswer:
Step-by-step explanation:
Answer:
Option A, 12/5
Step-by-step explanation:
If sin (theta) < 0 that means that the angle is in either quadrant 3 or 4.
Since cos or x is negative, that makes the angle limited to either 2 or 3.
The only quadrant that matches with those to is quadrant 3.
So, to find out what tan (theta) is, you need to make a graph and draw the line in quadrant 3.
Look at the attached graph
tan (theta) = opposite / adjacent
tan (theta) = -12/-5 = 12/5
Answer = Option A, 12/5
The length of the rectangle is x + 12. The width of the rectangle is x + 3. Please determine the area of the rectangle.
Answer:area = x^2 +15x +36
Step-by-step explanation:
--- Find each missing length to the nearest tenth. ----
Answer:
the answer missing length is 7.6 and yes i rounded it to the nearest tenth.
Step-by-step explanation:
How many times does 89 go into 249 equally
Answer:
2
Step-by-step explanation:
If you do 249/89 you will get 2.79775280899
so 89 goes into 249 2 times equally
Answer: 2
Step-by-step explanation:
If you do 249/89 you will get 2.79775280899
so 89 goes into 249 2 times equally
Complete the equation of the line through
(-6, -5) and (-4,-4).
Use exact numbers.
Answer:
y = [tex]\frac{1}{2}[/tex] x - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 6, - 5) and (x₂, y₂ ) = (- 4, - 4)
m = [tex]\frac{-4+5}{-4+6}[/tex] = [tex]\frac{1}{2}[/tex], thus
y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 6, - 5), then
- 5 = - 3 + c ⇒ c = - 5 + 3 = - 2
y = [tex]\frac{1}{2}[/tex] x - 2 ← equation of line
To find the equation of the line through (-6, -5) and (-4, -4), calculate the slope and then apply the point-slope form to yield the line equation y = 1/2x - 2.
Explanation:The question is about finding the equation of the line that passes through two given points, (-6, -5) and (-4, -4). To do this, we first need to find the slope of the line (m) using the formula: m = (y2 - y1) / (x2 - x1). Plugging in the points, we get m = (-4 + 5) / (-4 + 6) = 1 / 2. Next, we use the point-slope form of a linear equation, y - y1 = m(x - x1), to find the equation. Using point (-6, -5) and the slope 1/2, the equation becomes y + 5 = 1/2(x + 6). Finally, simplifying, we get y = 1/2x - 2 as the completed equation of the line.
48 guests are attending a super bowl party. Sixth-eighths of them attended the party last year. How many guests are attending the party for the first time?
Answer:
[tex]Guests\ attending\ the\ party\ first\ time=12[/tex]
Step-by-step explanation:
[tex]Total\ guests=48\\\\Guests\ attended\ the\ party\ last\ year=\frac{6}{8}\ of\ total\ guests\\\\Guests\ attended\ the\ party\ last\ year=\frac{6}{8}\ of\ 48\\\\Guests\ attended\ the\ party\ last\ year=\frac{6}{8}\times 48\\\\Guests\ attended\ the\ party\ last\ year=6\times 6\\\\Guests\ attended\ the\ party\ last\ year=36\\\\Guests\ attending\ the\ party\ first\ time=Total\ guests-Guests\ attended\ the\ party\ last\ year\\\\Guests\ attending\ the\ party\ first\ time=48-36\\\\[/tex]
[tex]Guests\ attending\ the\ party\ first\ time=12[/tex]
Find the value of x. Round your answer to the nearest tenth.
ometry
3-20 - SY19-
tan 12-10
47.0
39.8
21.3
14.5
Answer:
47.0
Step-by-step explanation:
we have
[tex]tan(12^o)=\frac{10}{x}[/tex]
Solve for x
That means ----> Isolate the variable x
Multiply by x both sides
[tex]x(tan(12^o))=10[/tex]
Divide by tan(12°) both sides
[tex]x=\frac{10}{tan(12^o)}[/tex]
using a calculator
[tex]x=47.0[/tex]
Someone please help me with this question I am stuck.
Answer: vertex
Step-by-step explanation:
Answer:
Vertex. The vertex is the point where two points meet, and the point 12 is where the lines meet.
A garden has four sides that are all the same length. Each side measures x+4 units. The garden's perimeter is 112 units.
What is the value of x?
Divide the perimeter by 4 to get the length of a side:
112/4= 28
Now solve for x:
X + 4 = 28
Subtract 4 from both sides:
X = 24
Why is 4r + 5 = 3 not an algebraic expression?
4r + 5 = 3 is not an algebraic expression because expressions are basically equations but WITHOUT answers. In this equation, 3 is shown as the answer, which makes it an equation, not an expression.
Hope this helps! Please correct me if I'm wrong! :D
4r + 5 = 3 is not an algebraic expression because it contains an equals sign making it an equation rather than an algebraic expression. Algebraic expressions are mathematical phrases lacking an equals sign.
Explanation:The equation 4r + 5 = 3 is not an algebraic expression because it is, in fact, an equation. The distinction between these two lies in the presence of the equals sign (=).
An algebraic expression is a mathematical phrase that can contain numbers, variables, and operators (like +, -, ×, ÷), but it does not have an equals sign. For example, 4r + 5 is an algebraic expression. However, when there is an equals sign present, as is the case in 4r + 5 = 3, the resulting mathematical phrase is an equation, which is a statement that two algebraic expressions are equal.
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Which operations would create an equivalent system of equations with opposite like terms?
3x-3y = 3
4x+ 5y = 13
The first equation can be multiplied by 5 and the second equation by 3.
The first equation can be multiplied by -4 and the second equation by -3.
The first equation can be multiplied by 4 and the second equation by -4.
The first equation can be multiplied by 3 and the second equation by 5.
The first equation can be multiplied by 5 and the second equation by 3.
3x - 3y = 3 | × 5
4x + 5y = 13 | × 3
15x - 15y = 15
12x + 15y = 39 +
________________
15x + 12x - 15y + 15y = 15 + 39
27x = 54
x = 54 : 27
x = 2
4·2 + 5y = 13
5y = 13 - 8
5y = 5
y = 5 ; 5
y = 1
Answer:
a
Step-by-step explanation:
Question 1 (10 points)
A summary of selected ledger accounts appear below for S. Ball for the current calendar year.
Answer questions 1 through 4 based on this information.
S. Ball. Capital
S Ball. Withdrawals
12/31 6,500 1 1 27,000
331 2,000 1231 6.000
12 31 4.250
10/31 3,000
S. Bo
123
1.000
12 22
Income Summary
1231 12.750 1231 17,000
12 31 4.250
1. What was the total amount of withdrawals for the year?
A)$6500
B)$1000
C)"O$3000
D)$6000
Answer:
Question 1 10 / 10 points
A summary of selected ledger accounts appear below for S. Ball for the current calendar year.
Answer questions 1 through 4 based on this information.
1. What was the total amount of withdrawals for the year?
$6000
Question 2
2.What was the net income?
$4250
Question 3
3.What was the total revenue?
$17,000
4.What were the total expenses?
$12.750
5.
__2__
Unearned Revenue
__5__
Brandon Jones, Capital
__1__
Cash
__3__
Equipment
__4__
Mortgage
1.
Current Assets
2.
Current Liabilities
3.
Fixed Assets
4.
Long-term Liability
5.
Equity
Question 6
At the end of the closing process, Income Summary will hold a balance.
Question options:
b) False
Step-by-step explanation:
I just took this quiz and got a 100%
The total amount of withdrawals for the year is $7,250.
Explanation:The total amount of withdrawals for the year can be found by adding up the amounts in the S. Ball Withdrawals ledger account. Looking at the provided information, we can see that the withdrawals were as follows: $2,000 on 10/31, $4,250 on 12/31, and $1,000 on 12/22. Adding these amounts together, the total amount of withdrawals for the year is $7,250.
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Wen Ti is on the outer edge of a carousel with a radius of 4.6ft. How far does she travel in one spin of the carousel in terms of π
A. 9.2π
B. 5π
C. 21.16
D. 4.6π
Final answer:
Wen Ti travels 9.2π feet in one complete spin on the outer edge of the carousel, which has a radius of 4.6ft. The correct option is A.
Explanation:
The question asks how far Wen Ti travels in one spin of the carousel, if she is on the outer edge with a radius of 4.6ft. To find this distance, we use the formula for the circumference of a circle, which is C = 2πr, where r is the radius of the circle. Plugging in the given radius of 4.6ft, we find that Wen Ti travels 2π(4.6) = 9.2π feet in one spin of the carousel.
(4x+7)=(6x-63) whats value of x
Answer:
35
Step-by-step explanation:
6x-4x= 2x
+63+7=70
70/2=35
Answer:
x = 35
Step-by-step explanation:
70 = 2x
x = 35
In a week Mike ran 8 km farther than Bill, while Pete ran
1 km less than 3 times as far as Bill. If Pete ran 15 km
farther than Mike, how many kilometers did Bill run?
Answer:
12 km
Step-by-step explanation:
m = b + 8
p = 3b - 1
p = m + 15
p = m + 15....and m = b + 8....so we are gonna sub
p = b + 8 + 15
p = b + 23
b + 23 = 3b - 1
23 + 1 = 3b - b
24 = 2b
24/2 = b
b = 12 <==== Bill ran 12 km
m = b + 8
m = 12 + 8
m = 20 km....this is what mike ran
p = m + 15
p = 20 + 15
p = 35 km....this is what pete ran
Bill ran a distance of 12 kilometers. This was determined through algebraic calculations, taking into account the given information about the distances run by Mike, Pete, and the relationships between their distances.
Let's use algebra to solve this problem. We'll denote the distances run by each person:Bill's distance: B kmMike's distance: B + 8 km (Mike ran 8 km farther than Bill)Pete's distance: 3B - 1 km (Pete ran 1 km less than 3 times as far as Bill)Now, we're given that Pete ran 15 km farther than Mike:Pete's distance (3B - 1) = Mike's distance (B + 8) + 15Now, let's set up this equation:3B - 1 = B + 8 + 15Now, solve for B:3B - 1 = B + 23Subtract B from both sides:2B - 1 = 23Add 1 to both sides:2B = 24Now, divide by 2:B = 24 / 2B = 12So, Bill ran 12 km.For more questions on algebraic calculations -
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What is a equivalent expression of -3(2b-7)
Answer:
-6b+21
Step-by-step explanation: