509 people.
[tex]700 \div 11 = 63.6363[/tex]
[tex]8 \times 63.6363 = 509.094[/tex]
you can't have 0.094 of someone so we round the answer off the 509.
Plz help!!!!!!!!!!!!!!
Answer:
[tex]\sqrt{5}[/tex]
Step-by-step explanation:
Given
5 ÷ [tex]\sqrt{5}[/tex] = [tex]\frac{5}{\sqrt{5} }[/tex]
To simplify multiply the numerator/ denominator by [tex]\sqrt{5}[/tex]
= [tex]\frac{5}{\sqrt{5} }[/tex] × [tex]\frac{\sqrt{5} }{\sqrt{5} }[/tex]
= [tex]\frac{5\sqrt{5} }{5}[/tex] = [tex]\sqrt{5}[/tex]
Answer: √5
Step-by-step explanation:
[tex]\dfrac{5}{\sqrt5}\bigg(\dfrac{\sqrt5}{\sqrt5}\bigg)=\dfrac{5\sqrt5}{5}=\large{\boxed{\sqrt5}}[/tex]
How do these triangles compare?
Answer:
B option. AB is larger than FD
Step-by-step explanation:
The rule which must be remembered here is:
The side opposite to the larger angle will be larger in measure. We have to compare two sides that are opposite to two angles 72 and 65.
So using the above rule we can say that side opposite to angle 72 will be greater in measure than the side opposite to 65.
The side opposite to 72 is AB and side opposite to 65 is FD.
Therefore, we can conclude that AB is larger in measure than FD, which makes option B as the correct answer,
Answer:
The correct answer option is AB is longer than FD.
Step-by-step explanation:
We are given two triangles, ΔABC and ΔDEF, where AC ≅ FE and BC ≅ DE.
One out of three angles is known for each triangle: ∠ACB = 72° and ∠DEF = 65° and we are to determine which of the statements is correct about AB and FD.
We know that the side opposite to the bigger angle is longer. Since ∠C = 72° is greater than ∠E, therefore side AB is longer than FD.
Which of these equations have no solution? Check all thal apply.
2(x + 2) + 2 = 2(x + 3) + 1
2x + 3(x + 5) = 5(x - 3)
46x + 3) = x + 12
4- (2x + 5) = 2 ( 4x - 2)
5(x + 4) - x = 4(x + 5) - 1
Answer:
2(x + 2) + 2 = 2(x + 3) + 12x + 3(x + 5) = 5(x - 3)5(x + 4) - x = 4(x + 5) - 1Step-by-step explanation:
[tex]2(x+2)+2=2(x+3)+1\qquad\text{use the distributive property}\\2x+4+2=2x+6+1\qquad\text{subtract 2x from both sides}\\6=7\qquad\boxed{FALSE}\to\text{no solution}\\===============================\\2x+3(x+5)=5(x-3)\qquad\text{use the distributive property}\\2x+3x+15=5x-15\\5x+15=5x-15\qquad\text{subtract 5x from both sides}\\15=-15\qquad\boxed{FALSE}\to\text{no solution}\\===============================\\46x+3=x+12\qquad\text{subtract x from both sides}\\45x+3=12\qquad\text{subtract 3 from both sides}\\45x=9\qquad\text{divide both sides by 45}\\x=\dfrac{9}{45}\to x=\dfrac{1}{5}\to\text{one solution}\\===============================\\4-(2x+5)=2(4x-2)\qquad\text{use the distributive property}\\4-2x-5=8x-4\\-2x-1=8x-4\qquad\text{subtract 8x from both sides}\\-10x-1=-4\qquad\text{add 1 to both sides}\\-10x=-3\qquad\text{divide both sides by (-10)}\\x=0.3\to\text{one solution}\\===============================\\5(x+4)-x=4(x+5)-1\qquad\text{use the distributive property}\\5x+20-x=4x+20-1\\4x+20=4x+19\qquad\text{subtract 4x from both sides}\\20=19\qquad\boxed{FALSE}\to\text{no solution}[/tex]
Answer:
A, B, E
Step-by-step explanation:
Complete BOTH parts of the problem below. When you complete the pr
document, upload it into the drop box.
A square Garden is surrounded by a walkway of width x.
a) Find the area of the garden
b) Find the area of the walkway and the garden
Answer:
Answer (a): Area of garden [tex]= 4x^2+12x+9[/tex]
Answer (b): Area of the square garden and the walkway = [tex]16x^2+24x+9[/tex]
Step-by-step explanation:
Answer (a):
From given picture we see that Length of the garden = 2x+3
Width of the garden = 2x+3
Then area of the square garden = (Length)(Width)
[tex]= (2x+3)(2x+3)[/tex]
[tex]= 4x^2+6x+6x+9[/tex]
[tex]= 4x^2+12x+9[/tex]
Answer (b):
From given picture we see that width of the walkway = x
Then length of the garden including walkway =x + (2x+3) +x=4x+3
Similarly width of the garden = 4x+3
Then area of the square garden and the walkway = (Length)(Width)
[tex]= (4x+3)(4x+3)[/tex]
[tex]= 16x^2+12x+12x+9[/tex]
[tex]= 16x^2+24x+9[/tex]
Which is the right answer?
Answer:
D
Step-by-step explanation:
Since the triangle is right use the sine trig ratio to solve for x
noting that sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] ← exact value
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{8}{x}[/tex]
Multiply both sides by x
x × sin45° = 8 ( divide both sides by sin45° )
x = [tex]\frac{8}{sin45}[/tex] = [tex]\frac{8}{\frac{1}{\sqrt{2} } }[/tex] = 8[tex]\sqrt{2}[/tex]
The gym teacher wants to know how many students play a sport. She asks 20 students throughout the day. What is the population?
Final Answer:
The population is the total number of students in the school.
Explanation:
The gym teacher's inquiry regarding the number of students playing a sport pertains to a subset of the larger student body. In statistical terms, the 20 students she questioned represent a sample.
The population, in this context, encapsulates the entirety of students attending the school, irrespective of whether they were asked about their sports participation or not.
When the gym teacher approached 20 students throughout the day, she was essentially drawing information from a limited group within the school. The population, however, extends beyond these 20 individuals to encompass every student enrolled in the institution.
This broader set includes students who might not have been present that day or were not approached by the teacher for their input. Determining the population aids in understanding the context and scale of the sampled data.
For instance, if the gym teacher's goal is to ascertain the percentage of students engaged in sports activities, the population figure (total number of students) becomes crucial for accurate statistical inference.
Consequently, the teacher can use this information to make informed decisions or implement strategies that cater to the entire student body, considering the interests and involvement in sports across the school.
PLAESE HELP!!!!!!!
What is the mean average of hours completing homework each week based on the table below:
Number of hours each week completing homework 1 2 3 4 5
# of students 6 20 15 12 7
Answer the anser is 3
please gimme brainly
Step-by-step explanation:
Which describes this angle?
an angle that measures greater than a right angle measures
an angle that measures the same as a straight line measures
an angle that measures the same as a square corner measures
an angle that measures less than a right angle measures
Answer:
Your answer would be the first option.
A right angle is 90 degrees
An obtuse angle is more than 90 degrees and that angle is more that 90 degrees
Find the value of x. Then classify the triangle
Answer:
x = 60°
Step-by-step explanation:
This is an equilateral triangle. All angles of this triangle are congruent and have a measure of 60°.
Other method.
We know: the sum of the measures of the angles of the triangle is equal to 180 °.
Therefore we have the equation:
x + x + x = 180°
3x = 180° divide both sides by 3
x = 60°
the width of a rectangle is 5 units less than the lenght. if the area is 104 square units, then find the dimensions of the rectangle
The length is 13 and width is 8
Step-by-step explanation:Let the length is L
Width will be L-5
Area of rectangle = Length x Width
Putting the values
104 = L x L-5
104=l(l−5)
Simplify both sides of the equation.
104=l²−5l
Subtract l²-5l from both sides.
104−(l²−5l)=l²−5l−(l²−5l)
−l²+5l+104=0
Factor left side of equation.
(−l−8)(l−13)=0
Set factors equal to 0.
−l−8=0 or l−13=0
l=−8 or l=13
We will take l = 13 because length cannot be negative
Now for width we know that w = l -5
So width is 13 -5 = 8
At Silver Gym, membership is $35 per month, and personal training sessions are $25 each. At Fit Factor, membership is $65 per month, and personal training sessions are $15 each. In one month, how many personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?
Answer: The correct answer is 3.
Step-by-step explanation:
You need to write an equation to solve this problem, using x as the number of personal training sessions.
The equation to solve this problem is
35 + 25 x = 65 + 15x
First, subtract 35 from both sides:
25x = 30 + 15x
Subtract 15x from both sides:
10x = 30
The last step is to divide both sides by 10:
x = 3
You can then double check your work to make sure that the answer is correct:
35 + (25 x 3) = 110
65 + (15 x 3) = 110
what of the following is a like radical to ^3 square 7x
Answer:
4( \sqrt[3]{7x} ) is a like radical to \sqrt[3]{7x}
Step-by-step explanation:
What is the length of LE?
Answer:
2.5
Step-by-step explanation:
if the distance to ET is 5 and l is closer to e it only makes sense for 2.5\
Please help me, please
Answer:
8/27 yd³
Step-by-step explanation:
The equation for the volume of a cube of edge length s is V = s³.
If the edge length, s, is 2/3 yard, then the volume of this cube is:
V = (2/3 yd)³ = 8/27 yd³ (which corresponds to Answer C)
Isabella uses the equation to find the volume of the cone below.
Answer:
The correct answer option is: Isabella should have divided the product of [tex]12\pi[/tex] and 9 by 3 to get [tex]V=\frac{12\pi (9)}{3}[/tex]
Step-by-step explanation:
We are given a diagram of a cone with height [tex] 9 cm [/tex] and area of the base (circle) [tex] 12 \pi cm^ 2 [/tex].
Isabella uses the equation [tex] V = \frac { 1 } { 3 } ( 12 ) ^ 2 ( 9 ) \pi [/tex] and we are to find the error that she is making in finding the volume of this cone.
The volume of a cone is given by: [tex]\pi r^2\frac{h}{3}[/tex] out of which [tex]\pi r^2[/tex] represents the area of the base (circle).
Therefore, Isabella should have divided the product of [tex]12\pi[/tex] and 9 by 3 to get [tex]V=\frac{12\pi (9)}{3}[/tex].
The answer is in fact D or Isabella should have divided the product of 12 Pie and 9 by 3 to get V= 12 Pie (9)/3
Could you answer this for me please?
-1 2/7 x 1/6 =
Answer:
-1 2/7 x 1/6 = -0.21
There are 24 inches of ribbon in each spool. Margaret needs 384 inches of ribbon. Which equation can Margaret use to find the number of spools,
s, she needs?
A) 24s=384
B)384/s=24
C) 384/24=s
D) All of these are correct
Answer: D) All of these are correct
Answer:
D. All of these are correct
Step-by-step explanation:
She needs four inches of ribbon and each spool has 24 inches, so we can write this equation like:
384/24 = s
where s is the number of spools.
If we divide 384 inches by the 24 inches each spool has she will get how many spools she needs.
Now having the equation: 384/24 = s, we can change it and it will mean the same.
384/24 = s is the same as 24s = 384; just sending the 24 to multiply on the other side.
And it is the same as 384/s = 24 just sending the s to the other side dividing.
So all of the answers are correct they are just in different orders.
Which tables represent constant functions?
A. x y
2 -1
2 0
2 1
B. x y
2 -3
4 -7
6 -11
C. x y
2 3
4 3
6 3
D. x y
1 3
2 12
3 27
E. x y
1 -1
2 -1
3 -1
Answer:
C and E repr. constant functions.
Step-by-step explanation:
C and E represent constant functions. One can tell immediately by the fact that y remains the same even when x changes.
Answer:
The correct option is C and E.
Step-by-step explanation:
Constant functions is the function those output value(y) remains same for any input values(x).
Now consider the provided options.
Option A, B and D has different output value(y) for different the different input values(x)
Now consider the option C and E.
Option C and E has same output value(y) for different the different input values(x).
Therefore, the correct option is C and E.
There are 23 cats and 27 dogs what percentage are dogs
Answer:
54%Step-by-step explanation:
Total Number of animals = 23 + 27 = 50
Number of Dogs = 27
Percentage of dogs = [tex]\frac{27}{50}[/tex] × 100 = 54%
The percentage of dogs will be 54%.
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
Number of cats = 23
Number of dogs = 27
Now,
Total number of animals = 23 + 27
= 50
And, Number of dogs = 27
Hence, The percentage of dogs = (27/50) × 100
= 54%
Thus, The percentage of dogs will be 54%.
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How do i solve this equation 3x2(9x)0=
To solve 3x^2(9x)^0, simplify the expression inside the parentheses first, then multiply by 3x^2.
Explanation:To solve the equation 3x2(9x)0, we can simplify the expression inside the parentheses first. Any number raised to the power of 0 is equal to 1. So, (9x)0 becomes 1. Now we have 3x2 * 1. Multiplying any number by 1 doesn't change its value, so the equation simplifies to 3x2.
The area of a rectangle is 54x^9 y^8 square yards. If the length of the rectangle is 6x^3 y^4 which expression represents the width of the rectangle in yards?
Jack knows a=l*w, so he writes the following equation:
54x^9 y^8= 6x^3 y^4*w
He divides both sides by the length:
(54x^9 y^8)/(6x^3 y^4 )=9 x^12 y^12
Error:
Correct solution:
➷ Error: When he divided both sides by the length, he didn't subtract the exponents. Instead on subtracting the exponents, he added them - which is incorrect.
Correct solution: 54x^9 y^8 / 6x^3 y^4 = 9x^6 y^4
The width is 9x^6 y^4
(This is based on the rule that when you divide values with exponents, you have to subtract the exponents)
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Answer:
Error: He added the exponents of the variables. The exponents must be subtracted.
Correct solution: [tex]w=9x^6y^4[/tex]
Step-by-step explanation:
According the quotient property of exponents, when you divide two powers with equal base, you must subtract the exponents.
Therefore, keeping the property above on mind, you have:
[tex]w=\frac{54x^9y^8}{6x^3 y^4}\\\\w=9x^{(9-3)}y^{(8-4)}[/tex]
Therefore, you have that the width of the rectangle is the shown below:
[tex]w=9x^6y^4[/tex]
This set of 3 number are measured of a right triangle 91 41 40
Answer:
False
Step-by-step explanation:
The measures of a right-angle are;
45°,45°,90° (45° right triangle)30°, 60°, 90° (30°- 60° right triangle)A right triangle has a 90° angle and two acute angles and the sum of angles should add up to 180°. The leg angles could be 45 to form an °isosceles triangle.
Which is the simplified form of
Answer:
The simplified form of n to the -6th power times p to the 3rd power is p^3/n^6.
Step-by-step explanation:
For this case we have that by definition of properties of powers, it is fulfilled that:
[tex]a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}[/tex]
We have the following expression:
[tex]n ^ {- 6} * p ^ 3[/tex]
We can rewrite it as:
[tex]\frac {p ^ 3} {n ^ 6}[/tex]
Finally:
[tex]n ^ {- 6} * p ^ 3 = \frac {p ^ 3} {n ^ 6}[/tex]
Answer:
Option C
need help with this...
Answer:
asfvbrgterwgwertbewgrq3geqgrewrgergergfergewrg
Step-by-step explanation:
A triangular sail on a sailboat is 6meter across the bottom and 10 meters tall.
What is the area of this sail?
Answer:
30m^2
Step-by-step explanation:
Formula for the area of a triangle is b * h / 2.
Plug in the values for each variable.
6 * 10 / 2 = 30.
Answer:
A=30m^2
Step-by-step explanation:
area of a triangle equals Length*Height divided by 2
length equals 6 height equals 10
6*10=60 60/2=30 A=30m^2
Rachel has an 80:1 scale drawing of the floor plan of her house. On the floor plan, the dimensions of her rectangular living room are 1 7/8 by 2 1/2 inches. What is the area of her actual living room in square feet?
Answer:
208⅓ ft²
Step-by-step explanation:
The dimensions of Rachel's living room are 80 times the measurements on the scale drawing.
Calculate the width:
w = 80 × 1⅞
Convert the mixed number to an improper fraction = 80 × 15/8
Cancel the 8s = 10 × 15
= 150 in
Convert inches to feet = 150/12
Convert the improper fraction to a mixed number = (144 + 6)/12
= 12⁶/₁₂
Reduce the fraction to lowest terms = 12½ ft
Calculate the length
l = 80 × 2½ = 80 × 5/2 = 40 × 5 = 200 in = 200/12 = (192 + 8)/12
l = 16⁸/₁₂ = 16⅔ ft
Calculate the area
A = lw
A = 16⅔ × 12½
Convert the mixed numbers to improper fractions
A = 50/3× 25/2
Cancel the 2s
= 25/3 × 25
Multiply numerators and denominators
= 625/3
Convert the improper fraction to a mixed number
= (624 + 1)/3
= 208⅓ ft²
The area of Rachel's living room is 208⅓ ft².
Which of the following expressions are equivalent to x - (-x) + y ?
Choose all answers that apply:
A. 0 + y
B. y.
C. None of the above
The given expression x - (-x) + y simplifies to 2x + y. None of the provided options are equivalent to the original expression, hence the answer is 'None of the above'.
Explanation:
The expression you're trying to simplify is x - (-x) + y. In mathematics, subtracting a negative number is the same as adding its positive counterpart. Therefore, the given expression simplifies to x + x + y, which is 2x + y.
It seems the original question was looking for an expression equivalent to x - (-x) + y from the given choices. Based on the simplification we just did, none of the provided choices (0 + y, y, none of the above) are equivalent to the original expression, 2x + y. Therefore, the correct answer is 'None of the above'.
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Which equation can be used to solve for m∠1?
m∠1 = (a – b)
m∠1 = (a + b)
m∠1 = (c – d)
m∠1 = (c + d)
Answer:
m∠1 = (a + b) you will also need to divide the sum by 2
Step-by-step explanation:
The measures of angles formed by intersecting chord can be found by adding their arc measures and dividing in 2.
In this case, m< 1 = 1/2 ( a + b).
Based on the angle of intersecting chords theorem, the equation of that can be used to solve m∠1 is: m∠1 = 1/2(a + b).
What is the Angle of Intersecting Chords Theorem?The angle of intersecting chords theorem states that the measure of any of the vertical angles formed when two chords intersect equals half of the sum of the two intercepted arcs.
Therefore, based on the angle of intersecting chords theorem, the equation of that can be used to solve m∠1 is: m∠1 = 1/2(a + b).
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What is the solution to the equation 4x-6=10x-3?
x=-2
x=-1/2
x=1/2
x=2
Answer:
x=-1/2
Step-by-step explanation:
4x-6=10x-3
Subtract 4x from each side
4x-4x-6=10x-4x-3
-6 =6x-3
Add 3 to each side
-6+3 =6x-3+3
-3 = 6x
Divide each side by 6
-3/6 = 6x/6
-1/2 =x
➷ 4x - 6 = 10x - 3
Add 3 to both sides:
4x - 3 = 10x
Subtract 4x from both sides:
- 3 = 6x
Divide both sides by 6:
x = -1/2
The correct answer would be B. x = -1/2
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The area of a rectangle is 48 square feet. The length is 8 feet longer than the width. 1) Which picture corresponds to the problem? 2) What are the dimensions of the rectangle?
Answer:
1) The picture whose width = x and Length = (x + 8) feet
2) Width = 4 feet
Length = 12 feet
Step-by-step explanation:
A rectangle has one side longer than the other.
Area of a rectangle = product of its sides.
= length × width
Width = x feet
Length = (x + 8) feet
Area = 48
∴ x × (x + 8) = 48
x² + 8x = 48
x² + 8x + 4² = 48 + 4²
(x + 4)² = 64
x + 4 = √64
x = ±8 - 4
x = - 12 or x = 4
Since length can not be negative, x = 4
∴ Width = 4 feet
Length =4 + 8 = 12 feet
The dimensions of the rectangle where its area is 48 square feet and length is 8 feet more than width is 4 feet (width) and 12 feet (length). The question is set on algebra, calculation of area and understanding of shapes.
Explanation:This problem falls under the category of algebra and involves understanding the concept of shapes, particularly rectangles, and calculation of their area.
We know, the area of a rectangle is calculated as the product of its length and width. Given that the area is 48 square feet and the length is 8 feet more than the width. Let's denote the width as 'w' and the length as 'w + 8'.
So, we can set up the equation as: w * (w + 8) = 48. Solving this quadratic equation will give us the values for 'w' and 'w + 8' or the dimensions of the rectangle.
If you factor the quadratic equation, you get (w - 4)(w + 12) = 0. Setting these factors to zero, we find that w = 4 or w = -12. Since width cannot be negative, the width is 4 feet. And the length, which is 8 feet more than the width, will be 4 + 8 = 12 feet.
For the picture representation, simply imagine or draw a rectangle. Label the shorter side as 4 feet (width) and longer side (length) as 12 feet.
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