The number of siblings you have can be given by whole numbers, option A is correct.
The number of siblings you have can be given by whole numbers.
Whole numbers are the most reasonable for the situation because the number of siblings you have is a counting number, which means it is a non-negative integer.
It cannot be a negative number or a fraction or a decimal.
Whole numbers, which include 0, 1, 2, 3, 4, 5, and so on, are the most appropriate for representing the number of siblings.
Hence, the number of siblings you have can be given by whole numbers, option A is correct.
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3.1 Which basic property of operations was used in each of the following
calculations?
3.1.1 25 x 4 = 4 x 25 = 100
3.1.2 412 412 412 + (-412) = 0
3.1.3 25 +37
-
=
= 20 + 5+ 30+7
= 20 +30 +5+7
= 50+ 12 = 62
3.1.1 The basic property of operations used is the commutative property of multiplication.
3.1.2 The basic property of operations used is the additive inverse property.
3.1.3 The basic property of operations used is the associative property of addition.
3.1.1 The basic property of operations used in this calculation is the commutative property of multiplication. It states that the order of the factors in a multiplication problem can be rearranged without changing the product. In this case, the numbers 25 and 4 were swapped, resulting in the same product of 100.
3.1.2 The basic property of operations used in this calculation is the additive inverse property. It states that for any number, there exists an additive inverse such that when the number and its additive inverse are added together, the result is zero. In this case, adding 412 and its additive inverse (-412) results in zero.
3.1.3 The basic property of operations used in this calculation is the associative property of addition. It states that the grouping of numbers being added does not affect the sum. In this case, the numbers 25, 37, 20, 5, 30, and 7 were regrouped to facilitate easier mental addition. By grouping 25 and 37, and then grouping 20, 5, 30, and 7, the final sum of 62 is obtained, which is the same as adding all the numbers together in the original order.
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Suppose carpet for a 12ft by 14ft room costs $400 find the cost to carpet a room 48ft by 56ft
Answer:
\(\$\ 6400\)
Step-by-step explanation:
1. Approach
The easiest way to solve this problem is to find the area of the first room with the dimensions of (12ft) by (14ft). Then one will divide the cost of carpeting the room by the area of the room, this will yield the price of carpeting per square foot. After finding the price of carpeting per square foot, one will find the area of the second room, with the dimensions of (48ft) by (56ft). Finally, one will multiply the price per square foot of carpeting by the area of the second room to find the price for carpeting the second room.
2. Find the area of the first room
Assume that the first room is a rectangle. the following formula can be used to find the area of a rectangle,
\((length)(width)=Area\)
The following are the dimensions of the given room,
\(length = 14\\width = 12\)
Substitute into the formula to find the area and simplify to solve,
\((length)(width)=Area\)
\((14)(12)=Area_1\)
\(168=Area_1\)
3. Find the price of carpeting per square foot
To find the price of carpeting per square foot, divide the total price for carpeting the first room by the area of the first room.
\(\frac{carpeting\ price_1}{area_1}\)
\(=\frac{400}{168}\)
Simplify,
\(=\frac{400}{168}\)
\(=\frac{50}{21}\)
4. FInd the area of the second room
Assume that the second room is also a rectangle. Use a similar strategy to find the area of this room as used for the area of the first room.
\((length)(width)=Area\)
\(length = 48\\width = 56\)
Substitute and simplify to sovle,
\((length)(width)=Area\)
\((48)(56)=Area_2\)
\(2688=Area_2\)
5. Find the price for carpeting the room
Multiply the area of the room by the price for carpeting per square foot to find the price for carpeting the second room.
\((Area_2)*(carpeting\ price)\)
\(2688=Area_2\)
\(\frac{50}{21}=carpeting\ price\)
\((Area_2)*(carpeting\ price)\)
\(=(2688)*(\frac{50}{21})\)
Simplify to solve,
\(=(2688)*(\frac{50}{21})\)
\(=(2688)*(\frac{50}{21})\)
\(=6400\)
Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95
The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.
The correct answer choice is option B.
How much cheaper is the car washes Malcolm orders than the car washes Martha's order?Malcolm's gift card = $50.
Cost Malcolm's car wash per visit = $7
Martha's gift card = $180
Cost Martha's car wash per visit = Difference between gift card balance of first and second visit
= $180 - $160
= $20
How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7
= $13
Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13
The complete question is attached in the diagram.
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SOVLW THIS PLEASE I NEED IT ASAP
smale0e si lo haces bien te vas a sacar un 5
Please explain your answer to the question in the picture with steps
Answer:
x = 31.2
Step-by-step explanation:
You want the solution to the proportion 12/x = 5/13.
Rational equationYou can eliminate the fractions by multiplying this equation by the least common denominator. That value is 13x, the product of these denominators. Multiplying by 13x, we have ...
\(\dfrac{12}{x}\times13x=\dfrac{5}{13}\times13x\\\\\\12\cdot13=5\cdot x\qquad\text{simplified}\)
Now, the value of x is found by dividing both sides by its coefficient.
\(\dfrac{12\cdot13}{5}=\dfrac{5x}{5}\\\\\\\dfrac{156}{5}=x\\\\\boxed{31.2=x}\)
__
Additional comment
The first step we did, multiplying by 13x, is also sometimes called "cross multiplication." The result of that step is that each numerator is multiplied by the opposite denominator.
Multiplying both sides of the equation by the same value (13x) is supported by the multiplication property of equality. The term "cross multiplication" is descriptive of the result, but is not a recognized property of equality. It is a good idea to keep the math operations you do grounded in the properties of equality.
You will notice that the steps we did were "multiply by 13x" and "divide by 5". These can be done at once by "multiply by 13x/5". Of course, that operation is done to both sides of the equation.
Any proportion can be written 4 ways:
\(\dfrac{12}{x}=\dfrac{5}{13}\qquad\dfrac{x}{12}=\dfrac{13}{5}\qquad\dfrac{x}{13}=\dfrac{12}{5}\qquad\dfrac{13}{x}=\dfrac{5}{12}\)
These can be thought of as "upside down" and "sideways." We like the versions with the variable on top of a fraction, because the solution to that is simply multiplication by the variable's denominator.
<95141404393>
2.50p+3b=358 Solve for p.
Answer:
p=143.2-1.2b
Step-by-step explanation:
Subtract 3b; 2.5p=358-3b
divide by 2.5; 143.2-1.2b
jan made 88% of the baskets she attempted. if she got 44 shots in the basket. How many baskets did she attempt
At the sixth-grade school dance, there are 132 boys, 89 girls, and 14 adults.
A. Write the ratio of the number of boys to the number of girls.
B. Write the same ratio using another form (A: B vs. A to B).
C. Write the ratio of the number of boys to the number of adults.
D. Write the same ratio doing another form. (I’m only 11 so I’m in sixth grade)
a. 132:89
b.132 to 89
c.132:14
b. 132 to 14
B. Evaluate
a) [ (-48) ÷ 12 ] ÷ 4
b) [ (-16) +6 ] ÷ [(-2) +1 ]
c) 0 ÷ (-15)
Answer:
A. -1
B.10
C.0
Step-by-step explanation:
Use calculator*
At Tasty Dogs, 2 of the last 12 customers wanted mustard on their hot dogs. Considering this data, how many of the next 6 customers would you expect to want mustard?
We can expect only 1 customer that would want mustard.
What is probability?Probability denotes the possibility of the outcome of any random event. The meaning of this term is to check the extent to which any event is likely to happen.
Given that, 2 of the last 12 customers wanted mustard on their hot dogs, we need to determine the number of customers would expect to want mustard,
So,
6 x 2 / 12
= 12/12
= 1
Hence, we can expect only 1 customer that would want mustard.
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ten minutes later airplane 2 lands with a rate of descent of -97/8 feet per second. which airplane had the fastest rate during its landing?
Airplane 1 had the fastest rate of descent during its landing.
To compare the rates of descent of the two airplanes, we need to convert both rates to a common unit of measurement. Let's convert both rates to feet per minute (ft/min) to make the comparison easier.
Airplane 1 had a rate of descent of -130 ft/s, which is equivalent to:
-130 ft/s × 60 s/min = -7800 ft/min
Airplane 2 had a rate of descent of -97/8 ft/s, which is equivalent to:
(-97/8) ft/s × 60 s/min = -729.375 ft/min
Comparing these two rates, we can see that Airplane 1 had the faster rate of descent during its landing:
-7800 ft/min (Airplane 1) > -729.375 ft/min (Airplane 2)
Therefore, Airplane 1 had the fastest rate of descent during its landing.
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Evaluate the expression
if x = 2, y = 3, and z = 4.
2x²-y + 2(z-1)
Answer:
11
Step-by-step explanation:
Substituting the values of x, y, and z into the expression, we get:
2x² - y + 2(z-1) = 2(2)² - 3 + 2(4-1)
= 2(4) - 3 + 2(3)
= 8 - 3 + 6
= 11
Therefore, if x = 2, y = 3, and z = 4, then the value of the expression 2x² - y + 2(z-1) is 11.
Answer:
11
Step-by-step explanation:
if x = 2, y = 3, and z = 4.
2x²-y + 2(z-1)
Substituting the given values of x, y, and z, we get:
2x² - y + 2(z-1) = 2(2)² - 3 + 2(4-1)
= 2(4) - 3 + 2(3)
= 8 - 3 + 6
= 11
Therefore, the value of the expression when x = 2, y = 3, and z = 4 is 11.
BODMAS (Brackets, Order, Division, Multiplication, Addition, Subtraction) is used to determine the sequence of operations in a mathematical expression. It is used to avoid confusion and ensure that everyone obtains the same answer from a mathematical expression. The rule states that the operations inside the brackets must be done first, followed by orders, then division and multiplication (from left to right), and finally addition and subtraction (from left to right).
how to find the answer for 15x-9y=-9
The value of "x" in the given linear equation of two variable 15x - 9y = -9 will be x = 0.6(-1+y).
As per the question statement, we are given a linear equation of two variable 15x - 9y = -9 and we are supposed to solve it for the variable "x"
First step would be to isolate "x" from the given equation
15x - 9y = -9
15x = -9 + 9y
15x = 9(-1+y) [Distributive property]
x = 9(-1+y)/15
x = 3(-1+y)/5 [Simplified]
or x = 0.6(-1+y)
Hence, the value of "x" in the given linear equation of two variable 15x - 9y = -9 will be x = 0.6(-1+y).
Linear equation: An equation is said to be linear if the maximum power of all the variable is consistently 1. It is also known as one-degree equation.To learn more about linear equation and similar concepts, click on the link given below:
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Divide. Round your answer to the nearest hundredth.
Answer:
775.64
Step-by-step explanation:
On the first of January, Jed had £48 in his bank account and Esther had £180 in her bank account. From then on, at the end of each month Jed put £40 into his account and Esther put £34 into her account. After how many months did they have the same amount of money in their accounts?
After 22 months, Jed and Esther have the same amount of money in their accounts.
How to balance the equations?Simplify both sides of the equation as much as possible using the order of operations (distribute, combine like terms, etc.)
Given: Jed has £48 in his bank account and from then on, at the end of each month he put £40 into his account and
Esther had £180 in her bank account and from then on, at the end of each month she put £34 into her account.
Now, let us consider after 't' months they have same amount of money in their accounts
⇒ £48 + £40t = £180 + £34t
⇒ £40t - £34t = £180 - £48
⇒ 6t = 132
⇒ t = 22.
Therefore, after 22 months, Jed and Esther have the same amount of money in their accounts.
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6. Which of the following is TRUE?
A.
B.
C.
D.
g(x)= = x
2 and f(x) = -2xare inverse functions because f(g(x)) = -xand
g(f(x)) = -x.
g(x) = −2x+2and
g(f(x)) = x.
g(x)=2x-10and
g(f(x)) = x.
F(x) = - =—= x + 1
-x+1 are inverse functions because ƒ(g(x))=x and
2
f(x)= = x+10
2
are inverse functions because f(g(x)) = x and
g(x)=2x−10 and f(x)=x+10
g(f(x)) = -x.
are inverse functions because f(g(x)) = -x and
To verify if two functions are inverse functions, their composites must have a value of x.
What is the composite function of f(x) and g(x) and how does it relates to inverse functions?The composite function of f(x) and g(x) is given by the following rule:
(f ∘ g)(x) = f(g(x)).
It means that the output of the inside function serves as the input for the outside function.
If two functions f(x) and g(x) are inverses, then we have that:
f(g(x)) = x.g(f(x)) = x.Missing InformationThe problem is incomplete, hence the procedure to verify if two functions are inverse is presented.
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8.
A tennis tournament consists of 16 players. In
how many ways can the winner and runner-up
in the tournament be determined?
Answer:
56
Step-by-step explanation:
8 =8=8∙7∙6=56
I NEES HELP STATISTICS
What is the slope of the line?
Answer:
-3
Step-by-step explanation:
goes up 3
goes back -1
3/-1
Answer:
Dose it have the points?
Step-by-step explanation:
slope=M=y2-y1/ x2x1
To find the number in a square, multiply the numbers in the two circles connected to it. Fill in the missing numbers.
The details of the relationship between the numbers is a word problem that can be used to find the values in the other missing values as presented in the attached drawing .
What is a word problem?A word problem is a presentation of a mathematical question using verbal statements.
Please find attached the possible diagram in the question obtained from a similar question posted online
The value in the square is -6
The value in the circle to the top right of the square = -3
Therefore;
The value in the circle in the bottom left corner (in the triangular arrangement) of the square = -6 ÷ -3 = 2The value in the circle to the right of the square with 12 is therefore found by dividing 12 by the value of the circle to the left of 12 as follows;
12 ÷ 2 = 6
The value in the circle to the right of the square containing 12 is 6The value in the blank square is the product of the values in the two circles (The circle at the top (-3) and the circle at the bottom right (6) of the triangle) as follows;
Value in the square left blank = -3 × 6 = -18The figure completed with the missing values in the circles and squares are presented in the attached drawing created with MS Word
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Find the measure of ∠ABC
A boat travels with velocity vector (25, 25√3). What is the directional bearing of the boat?
ON 30° E
OE 30° S
OE 30° N
ON 30° W
In a case whereby a boat travels with velocity vector (25, 25√3) the directional bearing of the boat is ON 30° E.
How can the directional bearing of the boat be determined?The given velocity vector are; 25 and 25√3)
horizontal components =25
vertical components =25√3
Then the angle
Tan(θ) = {vertical component / horizontal component }
= 25√3 / 25
= √3 / 1
= √3
Tangent √3= 60 degrees, Then the directional bearing of angle 60 degrees is 30° E
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Ahmed is planning to cook his family dinner and needs to purchase several food items. He is able to purchase these items either at the local grocery store or the farmer's market. Given in the table are the items and their prices.
Grocery Store Farmer's Market
8 tomatoes for $13.20 10 tomatoes for $17.50
4 cups of mozzarella cheese for $4.60 3 cups of mozzarella cheese for $3.30
12 eggs for $3.00 7 eggs for $1.40
Part A: Choose one of the food items offered at the grocery store and the farmer's market and determine the unit price of the item at each location. Show all necessary work, including the name of the item chosen. (6 points)
Part B: Based on your answer in part A, which location offers a better deal? Explain
Part A: Grocery Store: unit price = $1.65 (Tomatoes)
Farmer's Market: unit price = $1.75
Part B: Grocery Store offers a better deal because the unit price is less.
How to determine the unit price of the item at each location?Unit price is defined as the price for one of something. For example, if 10 oranges cost $50, the unit price will be $50/10 = $5 i.e. $5 for one orange.
PART A:
Let's choose tomatoes
Grocery Store
8 tomatoes for $13.20
Unit price = $13.20/8 = $1.65
Farmer's Market10 tomatoes for $17.50
Unit price = $17.50/10 = $1.75
Part B:
The location that offers a better deal is Grocery Store. This is because the unit price is less.
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A line passes through the point (-7, 5) and has a sloe of 1/2. Which is another point that the line passes through?
-13, 9
-9, 13
9, 13
13, 9
The point through which the same line is passing will be (9,13) so option (C) will be correct.
What is a line segment?A line section that can connect two places is referred to as a segment.
A line segment is just part of a big line that is straight and going unlimited in both directions.
The line is here! It extends endlessly in both directions and has no beginning or conclusion.
The equation of any line with slope m can be given as
y = mx + c
Given,
slope m = 1/2
Point of passing (-7, 5)
So,
5 = -7/2 + c ⇒ c = 17/2
So the equation will be,
y = x/2 + 17/2
2y = x + 17
Now checking all points (9,13) is satisfying.
2(13) = 9 + 17
26 = 26
Hence point (9,13) is passing through the line.
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HELP PLEASE URGENT!!!
A Ferris wheel is 50 meters in diameter and boarded from a platform that is 4 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 2 minutes. How many minutes of the ride are spent higher than 38 meters above the ground?
answer in minutes.
The number of minutes spent higher than 38 meters above the ground on the Ferris wheel ride is approximately 1.0918 minutes.
To solve this problem, we need to determine the angular position of the Ferris wheel when it is 38 meters above the ground.
The Ferris wheel has a diameter of 50 meters, which means its radius is half of that, or 25 meters.
When the Ferris wheel is at its highest point, the radius and the height from the ground are aligned, forming a right triangle.
The height of this right triangle is the sum of the radius (25 meters) and the platform height (4 meters), which equals 29 meters.
To find the angle at which the Ferris wheel is 38 meters above the ground, we can use the inverse sine (arcsine) function.
The formula is:
θ = arcsin(h / r)
where θ is the angle in radians, h is the height above the ground (38 meters), and r is the radius of the Ferris wheel (25 meters).
θ = arcsin(38 / 29) ≈ 1.0918 radians
Now, we know the angle at which the Ferris wheel is 38 meters above the ground.
To calculate the time spent higher than 38 meters, we need to find the fraction of the total revolution that corresponds to this angle.
The Ferris wheel completes one full revolution in 2 minutes, which is equivalent to 2π radians.
Therefore, the fraction of the revolution corresponding to an angle of 1.0918 radians is:
Fraction = θ / (2π) ≈ 1.0918 / (2π)
Finally, we can calculate the time spent higher than 38 meters by multiplying the fraction of the revolution by the total time for one revolution:
Time = Fraction \(\times\) Total time per revolution = (1.0918 / (2π)) \(\times\) 2 minutes
Calculating this expression will give us the answer in minutes.
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A culture started with 6,000 bacteria. After hours, it grew to 7,200 bacteria. Predict how many bacteria will be present after 19 hours. Round your answer to the nearest whole number
Answer:
that would be c i had that ques 5 mns ago
Step-by-step explanation:
Answer:
It’s 3600
Step-by-step explanation:
which expression is modeled by this arrangement of tiles?
O -16÷3
O -16÷2
O -8÷8
O -8÷2
Answer:
the second option
Step-by-step explanation:
hope this helps
Consider the function f(x)=2x−−√−8. If f−1(x) is the inverse function of f(x), find f−1(2)
\(f^(-1)(2) = 6\), which is consistent with our earlier result.
What is inverse function?A function that "undoes" another function is known as an inverse function. If f(x) is a function, then f(x inverse, )'s indicated by f-1(x), is a function that accepts f(x output )'s as an input and outputs f(x initial )'s input.
Given the function f(x) = √(2x - 8), if f^(-1)(x) is the inverse function of f(x), what is \(f^(-1)(2)\)?
Solution:
To find f^(-1)(2), we need to find the value of x such that \(f(x) = 2\) . We can set up an equation:
\(f(x) = \sqrt(2x - 8) = 2\)
Squaring both sides, we get:
\(2x - 8 = 4\)
\(2x = 12\)
\(x = 6\)
Therefore, \(f^(-1)(2) = 6.\)
We can also verify this result by using the definition of an inverse function. If f^(-1)(x) is the inverse function of f(x), then by definition:
\(f(f^(-1)(x)) = x\)
We can substitute x = 2 and solve for f^(-1)(2):
\(f(f^(-1)(2)) = 2\)
\(f^(-1)(2) = (f(6))^(-1)\)
f(6) = √(2(6) - 8) = √4 = 2
Therefore,\(f^(-1)(2) = 6\), which is consistent with our earlier result.
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I need help with this probelm please
What is the answer of this triangle congruence question.
The value of x in the triangles are 9.
What is a quadratic equation?For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.
Given:
The triangles are congruent.
That means, their corresponding angles are also congruent.
In ΔJKL,
the sum of all the angles of the triangle is 180°.
So,
x²-2x + x + 29 + 3x + 52 = 180
x² + 2x - 99 = 0
Solving the quadratic equation,
x² +11x - 9x - 99 = 0.
x (x + 11) -9 (x + 11) = 0
x = 9 and x = -11
Here, we take x = 9.
Therefore, the value of x is 9.
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