Answer:
n = 100
Step-by-step explanation:
We can let n represent the number we're trying to find.
Taking 80% of a number is the same as multiplying the number by 80/100 or 0.80.
Thus, we can use the following equation to find the number:
\(n+0.80n=180\\1.80n=180\\n=100\)
80% of "100" is 80.
80 "added to" 100 is 180
Distributive property to simplify the expression 5(x+5)
Answer:
5x + 25
General Formulas and Concepts:
Pre-Algebra
Distributive Property
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
5(x + 5)
Step 2: Expand
Distribute 5: 5(x) + 5(5)Multiply: 5x + 255 All ping-pong tables are on sale for 25% off at Tables 'N Stuff. The
sale price of a ping-pong table is $158. What is the regular price
of the ping-pong table?
A $245.88
B $178.45
C $330.21
D $210.67
Answer:
Step-by-step explanation:
netry B Unit 5 Test 2023 Unit Test: Unit 5 Test 2023: Geometry Applications The maximum altitude currently allowed by drones is 400 feet, which is approximately 0.12 km. This is to ensure that drones do not interfere with other aircraft or cause safety hazards. If cameras in a drone are set to film toward the horizon, what is the greatest distance that can be filmed, given that the radius of the Earth is approximately 6378 km? Round your answer to the nearest kilometer.
The greatest distance that can be filmed by the drone is 6374.5 km. Rounded to the nearest kilometer, 6375 km.
Now, For the greatest distance that can be filmed by a drone with a maximum altitude of 0.12 km, we can use the Pythagorean theorem.
Let's a right triangle with one leg being the radius of the Earth 6378 km and the other leg being the maximum altitude of the drone 0.12 km.
Hence, The hypotenuse of this triangle represents the line of sight from the drone's camera to the horizon.
Hence, By Using the Pythagorean theorem, we can solve for the length of the hypotenuse:
h² = 6378² + 0.12²
h = √40684000.145
h = 6374.5 km
Therefore, The greatest distance that can be filmed by the drone is 6374.5 km. Rounded to the nearest kilometer, 6375 km.
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18+ 4(28) use the properites of operations to evaluate this expressions?
The value of the expression 18 + 4(28) will be 130.
What is the value of the expression?When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The expression is given below.
⇒ 18 + 4(28)
Simplify the expression, then the value of the expression will be
⇒ 18 + 4 x (28)
⇒ 18 + 4 x 28
⇒ 18 + 112
⇒ 130
Thus, the value of the expression 18 + 4(28) will be 130.
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find an angle measure of angle A and B
A (5y-3)
C (3y+27)
The measure of angle A and C will be 94.5° and 85.5°.
How to calculate the angle?(5y - 3) + (3y + 27) = 180
Collect like terms
5y + 3y - 3 + 27 = 180
8y = 180 - 27 + 3
8y = 156
y = 156/8 = 19.5
(5y - 3) = (5 × 19.5) - 3 = 94.5
(3y + 27) = (3 × 19.5) + 27 = 85.5
Therefore, the measure of angle A and C will be 94.5° and 85.5°.
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Will give brainliest
Answer:b
Step-by-step explanation:
Answer:
b -2/3
Step-by-step explanation:
rise/run
you find two points that intersect a line then do rise over run the slope is negative
What is the value of the expression below if y = 5?
35 = (y + 2) + 4
Answer:
11
Step-by-step explanation:
Using GEMDAS
G-Group
E-Exponent
M-Multiplication
D-Division
A-Addition
S-Subtraction
Step 1: Substitute the value y=5 in the equation
35÷(5+2)+4
Step 2: Evaluate the equation by computing first the parenthesis
35÷(7)+4
Step 3: Next divide 35 by 7
(5)+4
Step 4: Add
=9
The answer is 9.
Abhasra and Aliyah are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of shiny wrapping paper. Abhasra sold 10 rolls of plain wrapping paper and 4 rolls of shiny wrapping paper for a total of $170. Aliyah sold 5 rolls of plain wrapping paper and 3 rolls of shiny wrapping paper for a total of $105. Find the cost each of one roll of plain wrapping paper and one roll of shiny wrapping paper.
Answer:
$9 and $20Step-by-step explanation:
Plain wrapping paper - pShiny wrapping paper - sEquations:
10p + 4s = 1705p + 3s = 105Double the second equation and subtract from the first one:
10p + 4s - 10p - 6s = 170 - 210-2s = - 40s = 20Find p:
10p + 4*20 = 17010p = 90p = 9If a boat uses 15 gallons of gas to travel 70 miles, how many miles can the boat travel on 60 gallons of gas?
Answer:
280 miles
Step-by-step explanation:
First you multiply 15 x 4= 60 gallons. You then multiply 4 x 70=280 miles
Hope this helps!
How many more bones does dog A have than dog B?
Answer:
DOG A. is have a 10 bones and DOG B. have a 2 bones
Two numbers are in the ratio 9:7 if one number is 324, what is the other number?
Answer:
\(\boxed{\bold{\huge{\boxed{\sf x = 252}}}}\)
Step-by-step explanation:
The ratio is 9 : 7
The first number is 324
Let's build the proportion for it.
9 : 7 = 324 : x [We've to find x]
Product of Extremes = Product of Means=> 9 * x = 324 * 7
=> 9x = 2268
Dividing both sides by 9
=> x = 252
So, The other number is 252.
HELP PLEASEEEEE!!!
Which of these equations is correct?
Answer:
A
Step-by-step explanation:
An exponent to an exponent means it's multiplying.
B shows 3 and 2, which is 6 but the answer shows 9 which is wrong
C shows 2 and 4 which is 8, but shows 6 which is also wrong
A and D are fractions because one of the exponents are negative.
For D, -3 and 6 is -18, but it shows 18 which is wrong
But A... 5 and -2 is -10, and it shows -10 which is equal
PASEND ANSWER ASAP:((....
A. Rhoda's circular garden in San Nicolas is enclosed in a 6 m by 6 m square lot. If this will be illustrated on the Cartesian plane, the garden is located on the first quadrant. If the circular garden is tangential to the axes of the plane, find the equation of the circular garden.
The diameter of the circular garden is equal to the side length of the
square lot.
Response:
The equation of the circular garden is; (x - 3)² + (y - 3)² = 3²Method used to derive the equation of the circleThe given parameters are;
The size of the square lot enclosing the garden = 6 m by 6 m
Location of the garden = The first quadrant
The garden is tangential to the axes of the plane, therefore, the tangents are the axes of the plane.
Required:
To find the equation of the circular garden.
Solution:
The diameter of a circle inscribed in a square is equal to the side length of the square, therefore;
Diameter of the circular garden = 6 meters
\(Radius = \mathbf{ \dfrac{Diameter}{2}}\)
\(Radius \ of \ the \ circular \ garden = \dfrac{6 \, m}{2} = 3 \, m\)
Therefore, the center of the circle is a radii length from each axis, which gives;
The center of the circle = (3, 3)
The general equation of a circle is presented as follows;
(x - h)² + (y - k)² = r²
Where:
(h, k) = The coordinates of the center of the circle = (3, 3)
The equation of the circle is therefore;
\(\underline{(x - 3)^2 + (y - 3)^2 = 3^2}\)Learn more about the properties of a circle here:
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What is 5⁶ written in expanded form? o 5+5+5+5+5+5 5.5.5.5.5.5
Answer:
HELLOOO
5⁶ in expanded form is
5×5×5×5×5×5
Step-by-step explanation:
thanks...
Answer: The answer to this basic math question with a basic given math expression about expanding this given basic exponent and the base expression is 5×5×5×5×5×5.
Step-by-step explanation: Mmmm, that was super extremely easy, so anyways, here is a basic step in order to expand this given basic exponent and the base expression:
5⁶ is also known as, "5 to the 6th". 5⁶ is in the expanded form is 5×5×5×5×5×5. 5⁶ is another also known as, "5 to the power of 6". The answer to this math question with a basic given math expression is 15625.I hope that my full given answer with my full given step-by-step explanation is very helpful to your own basic math question with the given basic math expression about expanding this given basic exponent and the base expression, please take care, always be safe, and have a great rest of the holiday winter break, Merry Christmas and a happy new year! :D
Sincerely,
Jason Ta,
The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.
has a perimeter of 52 feet. Let W be the width, L be the length, and P be
the perimeter, all with units in feet.
a. Given two sets of four rectangles, find one rectangle in each set that could have a
perimeter of 52 feet.
b. Which of the symbols W, L, and P are variables?
c. Which of the symbols W, L, and P are constants?
A rectangle that could have a perimeter of 52 feet is a 12 feet by 14 feet rectangle.
The symbols W and L are variables.
The symbol P is a constant.
How to calculate the perimeter of a rectangle?In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);
P = 2(L + W)
Where:
P represent the perimeter of a rectangle.W represent the width of a rectangle.L represent the length of a rectangle.By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;
P = 2(L + W)
52 = 2(12 + 14)
52 = 2(26)
52 feet = 52 feet.
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On a piece of paper graph f(x) = 3x. Then determine which answer choice matches the graph you drew
Answer:
--
Step-by-step explanation:
Show all the options please
Not able to see all options
3 1 A bottle of drink is sold at P4.85. A refund of 25 thebe is offered for returning the empty bottle. (a) Express the refund for an empty bottle as a percentage of the cost of the bottle of drink. 5 points*
Answer:
The cost of the bottle of drink is P4.85. The refund for an empty bottle is 25 thebe.
To express the refund as a percentage of the cost of the drink, we need to convert the refund to the same unit as the cost of the drink.
1 thebe = 0.038 Philippine pesos (as of June 2023)
25 thebe = 0.95 Philippine pesos
Therefore, the refund for an empty bottle is 0.95/4.85 x 100% = 19.59%
So the refund for an empty bottle is 19.59% of the cost of the bottle of drink.
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Mark as brainliest
length of a rectangle is 3 times its width. If the length is 9cm what is the area of the rectangle
Answer:
I think it's 27
because length is 3 times its width
the line with a slope of 9/7 & containing a midpoint of the segment whose end points are (2, -3) & (-6, 5)
Answer:Therefore, the equation of the line with a slope of 9/7 and containing the midpoint of the line segment with endpoints (2, -3) and (-6, 5) is:
y = (9/7)x + 25/7.
Step-by-step explanation:Step 1: Find the midpoint of the line segment.
The midpoint formula is given by:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
Given the endpoints of the line segment as (2, -3) and (-6, 5), we can find the midpoint as follows:
Midpoint = ((2 + (-6)) / 2, (-3 + 5) / 2)
Midpoint = (-4 / 2, 2 / 2)
Midpoint = (-2, 1)
So, the midpoint of the line segment is (-2, 1).
Step 2: Write the equation of the line using the slope-intercept form.
The slope-intercept form of a line is given by:
y = mx + b
where m is the slope and b is the y-intercept.
Given the slope as 9/7, we have:
y = (9/7)x + b
Step 3: Substitute the coordinates of the midpoint to find the value of b.
Using the coordinates of the midpoint (-2, 1), we can substitute these values into the equation:
1 = (9/7)(-2) + b
1 = -18/7 + b
To find the value of b, we can solve this equation:
1 + 18/7 = b
25/7 = b
Step 4: Write the final equation of the line.
Using the value of b, the equation becomes:
y = (9/7)x + 25/7
The concept of best-, worst-, and average-case analyses extends beyond algorithms to other counting problems in mathematics. Recall that the height of a binary tree is the number of edges in the longest path from the root to a leaf. Find the best-case height of a binary tree with seven nodes.
the height of a binary tree is the number of edges in the longest path from the root to a leaf.The best-case height of a binary tree with seven nodes is 3.
A binary tree is a type of tree structure consisting of nodes that are connected by edges. The number of edges in the longest path from a binary tree's root to a leaf determines the tree's height.In the best-case scenario, the binary tree is perfectly balanced and each node has exactly two children. With seven nodes, the best-case height is three because each node has two children and three edges connect the root node to the leaves. This means that the longest path from the root to a leaf is three edges, resulting in a height of three.
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Determine whether the number is a perfect square 36 , 15 PLEASE DO BOTH FOR 15 PTS
Five acres of land were divided into 4 lots of equal size. How many square feet did each lot measure? (1 acre = 43,560 sq ft)
The number of square feet each lot measure is 54, 450 square feet.
How to find the area in square feet of the lot?Five acres of land were divided into 4 lots of equal size. The number of square feet each lot measure can be calculated as follows:
1 acre = 43,560 square ft
5 acres = ?
cross multiply
number of acres = 5 × 43,560
number of acres = 217800 square feet.
Therefore, the lots is divide into 4 equal lots.
Hence,
measure of each lot = 217800 / 4
measure of each lot = 54, 450 square feet.
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The probability of each two occurring given that event he has happened is called wha
Answer:
Conditional Probability
Step-by-step explanation:
Conditional probability refers to the chances that some outcome occurs given that another event has also occurred. It is often stated as the probability of B given A and is written as P(B|A), where the probability of B depends on that of A happening
A cone has a base of 10cm across and a height of 12 cm and has the same volume as a cylinder of the same diameter. what is the cylinder's height?
The height of the cylinder with the same base and volume as the cone is 12 cm.
The volume of a cone and a cylinder of the same base and height can be found using the formula V = πr2h. The radius (r) is half the diameter which, in this case, is 5 cm. Therefore, the equation for the cone is V = \(π(5^2)12\)and the equation for the cylinder is V = π(5^2)h. To find the height of the cylinder, both equations must be set equal to each other, V =\(π(5^2)12\) = \(π(5^2)h\), and h can be isolated by dividing both sides by \(π(5^2)\). This yields h = 12 cm. Thus, the height of the cylinder with the same base and volume as the cone is 12 cm.
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1. For each of 200 randomly selected cities, Gary recorded the number of churches
in the city (x) and the number of homicides in the past decade (y). He calculated
the linear correlation coefficient and was surprised to find a strong positive linear
correlation for the two variables. Does this suggest that building new churches
causes an increase in the number of homicides? Why do you think that a strong
positive linear correlation coefficient was obtained? Explain your answer with
reference to the term lurking variable.
Answer:
Kindly check explanation
Step-by-step explanation:
When certain variables are examined, there seems to be a sort of spurious relatuoshipnornassocuation between the two variables, this is evident in the relationship between churches and the number of homicide, when a strong positive correlation is observed between number of churches and number of homicides, this relationship is most likely to be due to the effect of a lurking or third variable which creeped into our analysis, a factor which has a posithe correlation on both number of churches and homicide level, Number of homicide and number of churches could have been correlated by the lncreasing population which may lead to overcrowding and competition Hence increasing rate of homicide, similarly, with high rise in population, the growth of church to accommodate the populees will also creep in.
A fair die with its faces numbered from 1 to 6 will be rolled. Which of the following is the best interpretation of the probability that the number landing face up will be less than 3?
For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 1/3
For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 1/2
For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 2/3
For three rolls of the die, a number less than 3 will land face up one time.
It will take three rolls of the die before a number less than 3 lands face up for the first time.
The best interpretation of the probability that the number landing face up will be less than 3 is \(\frac{1}{3}\).
For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is \(\frac{1}{3}\).
As per the given question a fair die with its faces numbered from 1 to 6 will be rolled.
Here we have to calculate the probability that the number landing face up will be less than 3.
The event of the number landing face up will be less than 3 is exhaustive, mutually exclusive, and independent face of a die = 6
(1, 2, 3, 4, 5, 6)
Favorable number of faces of a die = 2
(1, 2)
Since the number landing faces up will be less than 3.
Therefore the probability that the number landing face up will be less than 3
\(=\frac{\text { Favourable Number }}{\text { Total Number }}$\)
\(& =\frac{2}{6} \\\)
\(& =\frac{1}{3}\)
Therefore the best interpretation of the probability that the number landing face up will be less than 3 is \(\frac{1}{3}\)
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The long-run relative frequency of a number less than 3 landing face up is 2/3.
The best interpretation of the probability that the number landing face up will be less than 3 is that for many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 2/3. This can be expressed mathematically as P(x<3) = 2/3, where P(x) is the probability of the number landing face up being less than 3.
For a single roll of the die, the probability of a number less than 3 landing face up is 1/2. This is because there are three numbers (1,2,3) which are less than 3, and 6 possible outcomes. Therefore, the probability of any one of those three numbers landing face up is 3/6, or 1/2.
For multiple rolls of the die, the probability of a number less than 3 landing face up is the sum of the probabilities of each of those three numbers landing face up. This can be expressed mathematically as P(x<3) = (1/2) + (1/2) + (1/2), or 2/3.
Therefore, for many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 2/3.
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Rachel and Amanda are planting tulip bulbs. Rachel has planted 45 bulbs and is planting at a rate of 33 bulbs per hour, Amanda is planting at a rate of 36 bulbs per hour and has planted 36 bulbs. How long will it take Rachel and Amanda to plant the same number of bulbs? How many bulbs will that be?
Answer:
3 hours
144 bulbs
Step-by-step explanation:
33t + 45 = 36t + 36
Subtract 33t from both sides
45 = 3t + 36
subtract 36 fromboth sides
9 = 3t
divideboth sides by 3
3 = t
3 hours
How many bulbs will that be?
33(3) + 45
99 + 45
144
sophia says that you can solve the problem in the Example by multiplying both quantities in the ratio 60 : 36 by 1 . Is Sophia correct? Explain.
Answer:
No multiplying both quantities in the ratio 60 : 36 by 1 would not give the answer .
But multiplying both quantities in the ratio 60 : 36 by 1/6 would solve it.
Step-by-step explanation:
Multiplying any number or ratio by 1 gives the same answer no matter what the expression or how much bigger the number is.This will not give the solution .
If it is multiplied with a fraction like 1/6 that would give the correct answer.
Multiplying it with 1/6 reduces the ratio and gives a better estimate.
A:B
60:36
60*1/6: 36*1/6
10: 6
Meaning that for a total of 16 there are 10 of category A and 6 of category B.
But if we do the same procedure with the answer is same which does not solve the question.
A:B
60:36
60*1: 36*1
60: 36
Distribute $1000 into three parts so that one part will be three times as large as the second and the third part will be as large as the sum of the other two.
Answer:
See below
Step-by-step explanation:
x = part 1
3x = part 2
x + 3x = part 3 summed, they equal 1000
x + 3x + x + 3x = 1000
8x = 1000
x = 125 3x = 385 third part = 500
A rectangular tank with a square base, an open top, and a volume of 19 comma 65219,652 ft cubedft3 is to be constructed of sheet steel. Find the dimensions of the tank that has the minimum surface area.
Answer:
34 and 17 feet.
Step-by-step explanation:
We have that the volume is given by:
V = x * x * y = (x ^ 2) * y
The surface area of the tank would be: x ^ 2 + x * y + x * y + x * y + x * y
SA = x ^ 2 + 4 * x * y
we know that the volume is 19652, replacing it would remain:
19652 = (x ^ 2) * y, we solve for y:
y = 19652 / (x ^ 2)
replacing in SA we are left with:
SA = x ^ 2 + 4 * x * 19652 / (x ^ 2)
SA = x ^ 2 + 70608 / x
we derive and equal 0:
SA´ (x) = 2 * x - 70608 / (x ^ 2) = 0
2 * x = 70608 / (x ^ 2)
x ^ 3 = 39304
x = 34
for and would be:
y = 19652 / (34 ^ 2) = 17
dimensions are 34 and 17 feet.