Let's begin by listing out the given information:
The commutative property states that for addition, the order in which we add numbers does not change their sum & for multiplication, the order in which we multiply does not change their product.
Mathematically expressed as:
\(\begin{gathered} x+y+z=y+z+x \\ x\cdot y\cdot z=y\cdot z\cdot x \end{gathered}\)Therefore, the commutative property of this is:
\(\begin{gathered} \frac{4}{3}\cdot\frac{1}{5}\cdot18=\frac{4}{3}\cdot18\cdot\frac{1}{5} \\ \Rightarrow\frac{4}{3}\cdot18\cdot\frac{1}{5} \\ \end{gathered}\)Therefore, Option D is the correct answer
Factors and rewrite the expression 99x+9
Answer:
9(11x+1)
Step-by-step explanation:
99x + 9
The greatest common factor is 9 so put 9 outside of parenthesis
9(11x+9)
Answer:
9(11x+1)
Step-by-step explanation:
We can see that these two values in the equation can be factored by 9 so divide both by 9
99/9= 11
9/9= 1
Rewrite expression by inputting the numbers in parenthesis while keeping the 9 "outside"
9(11x+1)
A gallery owner purchased a very old painting for 3000 dollars. The painting sold for 325 percent increase in price. What is the retail price of the printing?
Answer:
$12,750
Step-by-step explanation:
The price at purchase = 3000 dollars
Sale = 325 percent increase in purchase price.
325% = 3.25
3.25x3000 = 9750 dollars
So, at 325 percent increase in price, this painting sold for $9750.
The retail price of this painting =
Price at purchase + price during sale
= 3000 + 9750
= $12,750
Therefore the retail price is equal to $12,750
Solve this question
(7w^7)k³
The value of the variable 'w' for the given equation 7 ( w + 7 )³ = 7(6³) is equal to w = -1.
As given in the question,
Given equation is equal to :
7 ( w + 7 )³ = 7(6³)
Divide both the side of the equation by 7 we get,
⇒ 7 ( w + 7 )³ / 7 = 7(6³) /7
⇒( w + 7 )³ = (6³)
Take cube root both the side of the equation we get,
⇒∛( w + 7 )³ = ∛(6³)
⇒ w + 7 = 6
Now subtract 7 from both the side of the equation we get,
⇒w + 7 - 7 = 6 - 7
⇒ w = -1
Therefore, the value of the variable 'w' for the given equation is equal to w = -1.
The complete question is:
Solve this equation:
7 ( w + 7 )³ = 7(6³)
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Find the distance between (7,3) and (-3,-1). Round to the nearest tenth.
Answer:
22 ok i eo
Step-by-step explanation:
ok i will explaim
HELPPPPPPPPPPPP plssss -. A bag of cookies cost the cookie company $.50 to make, but the local grocery store sells the same bag of cookies for $4.50. How much does the local grocery store mark up the price of the bag of cookies?
Answer:
$4
Step-by-step explanation:
Company $0.50
Store. $ 4.50
Price up $ X
4.50
- 0.50
------------
4.00
X= $4.00
16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
HELP PLEASE I NEED HELP
What is the length of AB? Help ASAP
Answer:
6/8
Step-by-step explanation:
simplify and find the slope
Solve. −3.5=−4.6x−5.1 Enter your answer as a fraction in simplest form in the box.
Answer:
x = 8/23
Step-by-step explanation:
Adding 3.5 to each side
-3.5 + 3.5 = -4.6x - 5.1 + 3.5-4.6x - 1.6 = 0Adding 4.6x to each side
-4.6x - 1.6 + 4.6x = 0 + 4.6x4.6x = -1.6Dividing each side by 4.6
4.6x/4.6 = -1.6/4.6x = 8/23Given g(x) = (x+2) f(x) = 3x+1. find (Fog)(x)
Answer:
they ask for composite functions better do online search
here you go
= 3(x+2)+1
The Chess Club president brought donuts to the club meeting each week. As the club grew, more donuts were needed so that each member could have a donut. The table below shows the ratios of boxed donuts to the cost.
Donuts A 4 5 C
Cost 13.80 27.60 B 55.20
Determine which table has the correct values for A, B, and C.
Donuts 3 4 5 7
Cost 13.80 27.60 34.95 55.20
Donuts 2 4 5 8
Cost 13.80 27.60 34.95 55.20
Donuts 3 4 5 6
Cost 13.80 27.60 34.50 55.20
Donuts 2 4 5 8
Cost 13.80 27.60 34.50 55.20
The table with correct values of A, B and C is,
⇒ Donuts 2 4 5 8
Cost 13.80 27.60 34.50 55.20
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.
We have to given that;
The table below shows the ratios of boxed donuts to the cost.
Donuts A 4 5 C
Cost 13.80 27.60 B 55.20
Now, By definition of ratio, we get;
⇒ A / 13.80 = 4 / 27.60
⇒ A = 13.80 × 4 / 27.60
⇒ A = 2.00
And,
⇒ 4 / 27.60 = 5 / B
⇒ B = 5 × 27.60 / 4
⇒ B = 34.5
⇒ 4 / 27.60 = C / 55.20
⇒ C = 55.20 × 4 / 27.60
⇒ C = 8
Thus, The table with correct values of A, B and C is,
⇒ Donuts 2 4 5 8
Cost 13.80 27.60 34.50 55.20
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Answer:
a
Step-by-step explanation:
i took the test :)
The scatter plot shows the number of chin-ups and push-ups completed by a sample of fourth grade students.
What is the median number of chin-ups for all students?
Student Name
Label
Number of Chin-ups and Push-ups
10-
9
А
B
H
B
8
Jared
Tonya
Alex
Rishab
L
D
G
с
7-
F
D
K к
Gao
E
E
А
с
F
Riki
Anne
5-
4-
3
2-
G
Amira
H
12
/
Samuel
Lily
0
J
1
6
8
9
10
Abdu
K
2
Chin-ups
Mike
Answer:
9
Step-by-step explanation:
One did 10,one did 9, and 1 did 8 and 9 is the median number of those 3 numbers.
Answer:
Abdu, Tonya, Gao, Lily, Mike, Rishab
Step-by-step explanation:
Solve for x
-22.3=x/3 -3.1
Answer:
-57.6=x
Step-by-step explanation:
-22.3= x/3-3.1
-19.2=x/3
-57.6=x
Five star, brainliest, and a thanks for the correct answers.
Answer:
3.46 gallons
Step-by-step explanation:
write your ratio: x gallons/800in^3 = 1 gallon/231in^3
cross multiply: 1*800 = 231*x
simplify: 800 = 231x
divide both sides by 231: 3.4632034632 = x
round+flip: x = 3.46 gallons
Which equation represents the vertical line shown on the graph?
Answer:
The answer is A. X - 4 = 0 because it represents the vertical line shown on the graph
Kristina paid mortgage interest of
$6,320.00 and Medical Expenses of
$$19,500.00 during 2022. Her
GROSS INCOME was $32,500.
17. Using the deduction that is
best for her, what are her federal
taxes owed for 2022. (She is a
single filer).
To determine Kristina's federal taxes owed for 2022, we need to calculate her taxable income and apply the appropriate tax rate based on the tax brackets for single filers.
From her gross income of $32,500, we need to subtract the deductions that she can claim. Based on the information provided, Kristina can claim either the standard deduction of $12,550 or itemize her deductions, which in her case would be $6,320 + $19,500 = $25,820.
Since the itemized deductions are greater than the standard deduction, we will use the itemized deductions to calculate her taxable income.
Kristina's taxable income would be:
Gross income - Itemized deductions = $32,500 - $25,820 = $6,680
Next, we need to determine which tax bracket Kristina falls into. For tax year 2022, the tax brackets and rates for single filers are:
- 10% on income up to $10,275
- 12% on income between $10,275 and $41,775
- 22% on income between $41,775 and $91,525
- 24% on income between $91,525 and $191,525
- 32% on income between $191,525 and $416,700
- 35% on income between $416,700 and $418,850
- 37% on income over $418,850
Since Kristina's taxable income of $6,680 falls into the 10% tax bracket, her federal tax liability would be:
$6,680 x 0.10 = $668.00
Therefore, Kristina's federal taxes owed for 2022, using the deduction that is best for her, would be $668.00.
Answer:
Step-by-step explanation:
To calculate Kristina's federal taxes owed for 2022, we need to determine her taxable income first. To do this, we need to subtract her deductions from her gross income:
Gross Income = $32,500
Deductions = Mortgage Interest + Medical Expenses
Deductions = $6,320 + $19,500
Deductions = $25,820
Taxable Income = Gross Income - Deductions
Taxable Income = $32,500 - $25,820
Taxable Income = $6,680
Now, we can use the tax brackets and rates for single filers to determine Kristina's federal income tax liability for 2022. Based on the IRS tax tables for 2022, her tax liability would be calculated as follows:
The first $10,275 of taxable income is taxed at 10% = $1,027.50
The amount of taxable income over $10,275 but not over $41,775 is taxed at 12% = $601.20
Total Tax Liability = $1,027.50 + $601.20 = $1,628.70
Therefore, Kristina's federal taxes owed for 2022, using the deduction that is best for her, would be $1,628.70.
Qd =−8.5P+217.
According to the OLS demand curve equation, how much does the quantity demanded decrease, when the price of a burger increases by $1?
Quantity demanded decreases by 8.5 when the price of a burger increases by $1.
What is Demand Curve?Demand curve is a graph which describes the variation of the demand of a goods or a commodity with the variation in the price.
Given demand curve equation is,
Qd = -8.5P + 217
Suppose that the price of a burger increases by $1.
Then the demand equation becomes,
Qd' = -8.5 (P + 1) + 217
= -8.5P - 8.5 + 217
= (-8.5P + 217) - 8.5
= Qd - 1
That is, the quantity demanded decreases by 8.5 when price increases by $1.
Hence the decrease in the quantity demanded is 8.5.
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Write the following number in standard form.
eight hundred twenty-six and four hundredths
8,264
826.4
826.004
826.04
Answer:
D
Step-by-step explanation:
hope this helps :3
Answer:
hundreds
Step-by-step explanation:
Remember the place values:
thousands 8
hundreds 2
tens 1
ones 6
.
tenths 4
The 2 is in the hundreds place.
Points A and B are on opposite sides of a lake. Another point, C. is 94.4 meters from Angle A. The measure of Angle A is 72° and the measure of Angle C is 30°. Find the distance between A and B.
To find the distance between points A and B, we can use trigonometry and the given information.
Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.
Using trigonometry, we can use the tangent function to find the value of "d".
tan(72°) = d / 94.4
To solve for "d", we can rearrange the equation:
d = tan(72°) * 94.4
Using a calculator, we can evaluate the expression:
d ≈ 4.345 * 94.4
d ≈ 408.932
Therefore, the distance between points A and B is approximately 408.932 meters.
Students at Sunnyvale Middle School volunteered to work a 2-hour shift at a
car wash fundraiser. The table shows the number of people who worked each
shift and how many cars they washed.
Is the relationship between the number of
cars washed and the number of workers
proportional? Complete the statement.
The number of cars washed per person
?
of workers, so the relationship is
the same for each number
?
People Working
4
6
8
10
Cars Washed
8
12
20
25
The relationship in this problem is not proportional, as there are different ratios between the number of people and the number of cars washed.
What is a proportional relationship?A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.
The equation that defines the proportional relationship is a linear function with slope k and intercept zero given as follows:
y = kx.
The slope k is the constant of proportionality, representing the increase or decrease in the output variable y when the constant variable x is increased by one.
The ratios between the output and the inputs are given as follows:
8/4 = 2.12/6 = 2.20/8 = 2.5.25/10 = 2.5.Different ratios, hence the relationship is not proportional.
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4x(x + 1) − (3x − 8)(x + 4)
The simplified form of the expression 4x(x + 1) − (3x − 8)(x + 4) is -3x^2 - 4x - 32.
To simplify the expression 4x(x + 1) − (3x − 8)(x + 4), we can expand the parentheses and combine like terms.
Expanding the first term, we get 4x^2 + 4x.
Expanding the second term, we have -(3x)(x) - (3x)(4) - (-8)(x) - (-8)(4), which simplifies to -3x^2 - 12x - (-8x) - (-32), further simplifying to -3x^2 - 12x + 8x - 32.
Combining like terms, we obtain -3x^2 - 4x - 32.
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In a certain video game, there is a mini-game where the main character can choose from a selection of twenty
presents. The presents are wrapped, so the character does not know what is in them. If 7 presents contain money, 3
presents contain gems, 6 presents contain ore, and 4 presents contain fish, what is the probability that the main
character does not choose a present that contains a gem?
Your answer should be an exact decimal value.
The probability of randomly selecting a present that does not contain a gem is
Answer:
There are a total of 20 presents, and 3 of them contain gems. Therefore, there are 20 - 3 = 17 presents that do not contain gems.
The probability of randomly selecting a present that does not contain a gem is 17/20 = 0.85 or 85%.
hope it helps you...
Find the volume of this sphere use three
2916 ft³
Step-by-step explanation:Volume helps describe the amount of space that a shape takes up.
Volume of a Sphere
Volume describes the 3-dimensional size of a shape. Since volume is a 3-D measurement, the units should be cubed; this explains why the answer is given in feet cubed. In order to find the volume, we need to use the radius. The radius of a sphere is the distance from the center to the outside. In this case, we are told that the radius is 9 ft.
Volume Formula
Every regular shape has its own volume formula. For a sphere, the formula is:
\(V = \frac{4}{3}\pi r^{3}\)So, to find the volume, all we need to do is plug in the radius. For this sphere, r = 9.
V = 4/3 * 3 * 9³V = 2916When using 3 for pi, the volume of the sphere is 2916 ft³.
Matthew examines the relation shown in the below.
{(4,-11), (3,1), (0,1), (2,6), (3, -1)}
Is the relation a function? Why or why not?
No. There are x values which map to more than 1 y-value.
Yes. Every y-value maps to exactly 1 x-value.
No. There are y-values which map to more than 1 x-value.
Yes. Every x-value maps to exactly 1 y-value.
No, there are x values which map to more than 1 y-value.
Given that Matthew examines the relation as shown in the below.
{(4, -11), (3,1), (0,1), (2,6), (3, -1)}
We need to check whether the relation is a function or not,
So, we know that,
A relation can map inputs to multiple outputs. It is a function when it maps each input to exactly one output. The set of all functions is a subset of the set of all relations.
If any x values are repeated, and the corresponding y values are different, then we have a relation and not a function.
Here we can see that the y values are repeated, so it is not a function.
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Graph the polygon with the given vertices and its image after the given rotation about point A A(1, 4), B(6, 5), C(8, 2), D(3, 2) ; 90° counterclockwise
Check the picture below.
8 divided by 2 (2+2). 1 or 16
Answer:
16
Step-by-step explanation:
\(8/2(2+2)\)
Following the order of operations (PEMDAS), combine the terms in your parentheses:
\(8/2(4)\)
Remember that we follow the order of operations from left to right.
Divide 8 into 2:
\(4(4)\)
Multiply:
\(16\)
the sum of two numbers is 21. ¾ of the number added to⅔ of the other give a sum of 15 find the two numbers
Answer:
12 and 9
Step-by-step explanation:
Hello.
General idea: You symbolize the numbers with letters and create two simultaneous eqns.
Rotation - Question 5
When the former image is rotated, the dots will be located at section 2 and 7.
What is the effects of image rotation?When an image is rotated, the constituents within it also changes its position as the object is moves from a point to another about a pivot junction.
From the given image above, after the rotation of the initial image, the dot should be located at number 2 and 7 of the new image.
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Find the area of the figure. (Sides meet at right angles.)
3 cm
B cm
4 cm
4 cm
5 cm
Бcm
5 cm
Answer:
80cm²
Step-by-step explanation:
to get the area of the given figure,
we need to split it in to two (see attached)
then area of a rectangle = length x width
A1 = 15 cm x 4 cm = 60 cm² A2 = 5 cm x 4 cm = 20 cm²
Area = A1 + A2
= 60 + 20
= 80 cm²
Find the square root of: 2 + sqrt5
Answer:
3.65
Step-by-step explanation:
The square root of 2 is 1.4 and the square root of 5 is 2.2 adding that together you get 3.6