a. The multiplication problem is 2/2*4/6
b. The solution to the multiplication problem is 2/3.
What is a multiplication problem?
A multiplication problem is an expression which requires the product of two or more factors. Thus to solve the problem, the product of all factors in the expression has to be determined. And probably, simplification might be required arrive at the final answer as required.
From the given pair of diagrams, the multiplication problem is: 2/2*4/6
But,
2/2*4/6 = 1 *2/3
= 2/3
So that;
2/2*4/6 = 2/3
Therefore the solution to the multiplication problem is 2/3.
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Rent expense in Volusia Company's 2014 income statement is $420,000. If Prepaid Rent was $70,000 at December 31, 2013, and is $95,000 at December 31, 2014, the cash paid for rent during 2014 is:A. $480,000B. $445,000C. $395,000D. $420,000
As per the mentioned informations, the cash paid for rent during 2014 is calculated to be $395,000. So, the correct answer is option (C) i.e. $395,000.
To calculate the cash paid for rent during 2014, we need to use the information given in the problem and apply the following formula:
Cash paid for rent = Rent expense + Prepaid rent at the beginning of the period - Prepaid rent at the end of the period
Substituting the values given in the problem, we get:
Cash paid for rent = $420,000 + $70,000 - $95,000
Cash paid for rent = $395,000
Therefore, it can be concluded that the correct answer is (C) $395,000.
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can someone help pls
Answer:
23.2
12
..........................................
I need help asap thank you
Answer:
Thisis your answer ☺️☺️☺️
a lacrosse league has 20 teams in its first year. The number of teams in the league increases by 20% in it's second year. In the third year, the number of teams decreases by 25% from the second year. How many teams are in the league in the third year?
There are 18 teams in the lacrosse league in the third year. It's important to note that percentages are a way of representing fractions out of 100.
In the first year, the lacrosse league has 20 teams.
In the second year, the number of teams increases by 20%, which is 20/100 x 20 = 4. Therefore, the number of teams in the second year is 20 + 4 = 24.
In the third year, the number of teams decreases by 25% from the second year, which is 25/100 x 24 = 6. Hence, the number of teams in the third year is 24 - 6 = 18.
Therefore, there are 18 teams in the lacrosse league in the third year.
It's important to note that percentages are a way of representing fractions out of 100. In the second year, the 20% increase can also be written as a multiplication factor of 1.2 (1 + 20/100). Similarly, the 25% decrease in the third year can be written as a multiplication factor of 0.75 (1 - 25/100). Using these multiplication factors can make it easier to calculate the number of teams in each year.
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PLEASE PLEASE PLEASE HELP ME ITS A MATH PROBLEM!!! EXPLANATIONS WELCOMED
Answer:
8
Step-by-step explanation:
The given ratios can be combined to a composite ratio using least common multiples.
Given ratiosWe can identify each of the entities with a 2-letter designation:
TT - Tumtum tree; TW - tulgey wood; BS - frumious Bandersnatch;
ST - slithy tove; BG - borogoves; MR - mome raths; JW - Jabberwocky;
JB - Jubjub birds.
Then the given ratios are ...
20 TT : 1 TW1 TW : 1 BS5 ST : 2 BG2 MR : 1 JW2 JB : 200 TT . . . . (reduces to 1 : 100)200 MR : 1 BG5 JB : 1 STComposite ratiosThe path from BS to JW is unique, so we can work our way there one ratio at a time. Having done this once, we can go back and do it again with the least possible multiplier.
Here, that turns out to be 125 Bandersnatches. We can combine these to the composite ratio ...
125 BS : 125 TW : 2500 TT : 25 JB : 5 ST : 2 BG : 400 MR : 200 JW
Then the ratio of Bandersnatches to Jabberwocks is 125 : 200 = 5 : 8.
If there are 5 frumious Bandersnatches, there should be 8 Jabberwocks.
__
Additional comment
We know 1 JW : 2 MR and 200 MR : 1 BG. In order to get a common value of 200 MR in these ratios, we need to multiply the first by 100:
100 JW : 200 MR : 1 BG
Next, we notice the other ratio involving BG is 2 BG : 5 ST, which means we need to multiply by 2 again:
200 JW : 400 MR : 2 BG : 5 ST
The number of JB is 5 times the number of ST, so this extends to ...
... 5 ST : 25 JB
The number of TT is 100 times the number of JB, so we have ...
... 5 ST : 25 JB : 2500 TT
Continuing in like fashion, we get the composite ratio shown above. We originally worked this starting from BS. Reducing the JB/TT ratio from 2/200 to 1/100 helped eliminate an extra factor of 2.
Step-by-step explanation:
it's not really a math problem per se, it is more like a regular riddle with numbers.
true, everything involving numbers is essentially math, but then what will you do in life with things like earning a salary, going shopping, checking a calendar and schedules for bus, train and flights or business meetings, sharing a pizza with friends, playing computer games, ...
life is for a big part numbers and therefore math.
so, don't be afraid, just use your brain and common sense !
let's think this through (just be strict, concentrated, and follow each line literally) :
5 fr. Band. means 5 tulgey woods.
which means 20×5 = 100 tumtum trees.
as there are 2 jubjub birds in 200 tumtum trees, that means that there is 1 jubjub bird in the given 100 tumtum trees.
as there are 5 jubjub birds in 1 slithy toves, but we have only 1 bird, that means we have only 1/5 slithy toves.
there are 5 slithy toves in 2 borogoves. that means 1 slithy toves in 2/5 borogoves. and 1/5 slithy toves in 2/5 / 5 = 2/25 borogoves.
there are 200 mome raths in each borogove. and we have 2/25 borogoves. that means we have
200 × 2/25 = 400/25 = 16 mome raths.
and there are 2 mome raths per jabberwocky. we have 16 raths. how many pairs of raths does that make ?
16/2 = 8 pairs of raths = jabberwocks.
so, there should be 8 jabberwocks.
you see ? that's all that was needed. this was like a labyrinth riddle, where you need to find the way from an inside starting point to the exit without crossing a line (or wall).
Complete the equation with a number that makes the expression on the right side of the = equivalent to the expression on the left side 5x-2. 5*6x-3=-(2x-1)
To complete the equation 5x-2 = -(2x-1) with a number that makes the expressions on both sides equivalent, we need to find the value of x that satisfies this equation, which will be 3/7
First, let's simplify the equation:
5x-2 = -2x + 1
Now, let's isolate the variable x by moving all the terms containing x to one side:
5x + 2x = 1 + 2
Combining like terms:
7x = 3
To solve for x, divide both sides of the equation by 7:
x = 3/7
Therefore, the value of x that makes the expressions on both sides of the equation equivalent is 3/7.
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just give me a RIGHT ANSWER please lol...
What is the multiplicative inverse of -5/6
Answer:
Step-by-step explanation:
Breast-feeding mothers secrete calcium into their milk. Some of the calcium may come from their bones, so mothers may lose bone mineral. Researchers measured the percent change in mineral content of the spines of 47 mothers during three months of breast-feeding.6Here are the data:
Blend Images/Superstock
(a)
The researchers are willing to consider these 47 women as an SRS from the population of all nursing mothers. Suppose that the percent change in this population has standard deviation ? = 2.5%. Make a stemplot of the data to verify that the data follow a Normal distribution quite closely. (Don
To create a stemplot, we first need to separate the data into "stems" and "leaves." Each stem represents the first digit(s) of each data point, while each leaf represents the last digit(s). For example, if the data point is 12.3, the stem would be 12 and the leaf would be 3.
To make a stemplot, the data should be arranged in increasing order, and then separated into stems and leaves.
STEMPLOT OF THE DATAHowever, you can use the data given and arrange it in increasing order and separate it into stems and leaves to make a stemplot. A stemplot is a good way to check if the data follow a normal distribution quite closely, the more the data is spread out and the more symmetric it is, the more likely it is to follow a normal distribution.
Also, it is important to mention that from the given data, it is not possible to conclude if the percent change in this population has standard deviation of 2.5%. This parameter can only be estimated from a sample if it follows a normal distribution which is not clear from the given data.
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What mathematics function is this hint this of 64 is 8.
The required equation is 64x = 8 and the unknown variable is 1/8
Functions and expressionsLet the unknown variable be "x"
If the unknown number of 64 is 8, this can be expressed as:
x of 64 = 8
64x = 8
Divide both sides by 64
64x/64 = 8/64
x = 1/8
Hence the required equation is 64x = 8 and the unknown variable is 1/8
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The Vikings Football League has 150 players on 10 teams. What is the unit rate of the players to teams?
Answer: 15 players per team
Step-by-step explanation:
Unite rate of players on the team refers to the number of players on each of the teams that the Viking Football league has.
You can get this find this out by dividing the number of players, by the number of teams:
= 150/10
= 15 players per team
The table shows differences in political ideology, by education, for a random sample of voters. Use the data to solve the problem.
Find the probability that a randomly selected person from this group is conservative, given they have attended college
P(conservative attended college) = (Type an integer or a simplified fraction)
Answer:
9/33
Step-by-step explanation:
find the total of people that have attended college (9+12+12 =33)
now go to the number of people that are both college and conservative (9)
The probability that a randomly selected person from this group is conservative, given they have attended college; 9/33
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
Given that table shows differences in political ideology, by education, for a random sample of voters.
To find the total of people that have attended college (9+12+12 =33)
P(conservative attended college) = (Type an integer or a simplified fraction)
To the number of people that are both college and conservative (9)
P(conservative attended college) = 9/33
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A scientist is growing bacteria, starting with a culture of 10 bacteria. The colony of bacteria doubles every 3 hours. Which equation represents the relationship between the number of bacteria (b) and the number of hours (t) that have elapsed?
A) B= 10(2)^t
B) B= 10(2)^t/3
C) B= 10(2)^3t
D) B= 10(e)^2t
E) B= log₂(t)
Answer:
B) B=10(2)^(t/3)
Step-by-step explanation:
The Formula used to find Exponential Growth is
\(y=a*b^{\frac{t}{t_{1} } }\)
where y is the Final Amount
a is the Initial Amount
b is the Growth Factor
t is Time
t1 is Time to Complete one Growth
so for our Problem
a=10 and b=2 and t1=3 and y=B
so B=10(2)^(t/3)
So
The expression is
\(\\ \rm\rightarrowtail B=10(2)^{\frac{t}{3}}\)
Option B is correct
Solve this equation: m - 3.6 = 13.8
Answer:
m= 17.4
Step-by-step explanation:
A company that makes hair-care products had 2,000 people try a new shampoo. 2,000
Of the people, 16 had a mild allergic reaction. What percent of the people had a mild allergic reaction?
The percentage of people having a mild allergic reaction is 0.8%.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
As per the given,
16 out of 2000 have a mild allergic reaction.
Percentage of 16 out of 2000 = (16/2000)100 = 0.8%
Hence "The percentage of people having a mild allergic reaction is 0.8%".
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Find the balance in the account.
4. $3,900 principal earning 2%, compounded annually, after 3 years
Answer:
$4138.7
Step-by-step explanation:
P= $3,900
R= 2%
T or n= 3 years
compounded anually (yearly) so:
A= P(1+\(\frac{R}{100}^n\))
A= 3900(1+\(\frac{2}{100}^3\))
A= $4138.7
How to convert ounces to milliliters
Answer:
1oz =29.5735ml
Step-by-step explanation:
Multiply your fluid ounces number by 29.5735 to convert US fluid ounces to millilitres. Multiply your number by 28.4131 if you're using British Imperial fluid ounces as your unit of measurement. The British Imperial ounce is somewhat smaller than the US fluid ounce.
Is 1 oz equivalent to 15 ml?Even though one fluid ounce is slightly less than 29 millilitres, the numbers on nutrition labels are rounded up to 30. In the US, a fluid ounce is a unit of volume. Both fl oz and fluid ounces are acceptable abbreviations for fluid ounces.
What volume in millilitres is an ounce?The ratio of 1 fluid ounce to 29.57353193 millilitres is known as the ounce-to-millilitre conversion factor.
What measurement is an ounce?An ounce is a unit of weight that is equal to 480 grains, or 1/12 pound, in the troy and apothecaries' systems and 1/16 pound (437 1/2 grains) in the avoirdupois system.
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Equation A: 3x + y = 6
Equation B: 6x - 2y = 4
Equation C: y = 3x - 2
Equation D: y = 13x + 7
Which two lines are perpendicular?
A) A and B
B) B and C
C) A and D
D) C and D
None of the given pairs of lines are perpendicular. The answer is none of the above (E).
To determine which two lines are perpendicular, we need to check whether the slopes of the lines are negative reciprocals of each other. If they are, then the lines are perpendicular.
The slope of a line can be determined by examining the coefficient of x in the line's equation.
For Equation A, the slope is -3 (the coefficient of x is 3, and the slope is the negative of the coefficient).
For Equation B, the slope is 3 (the coefficient of x is 6, and the slope is the coefficient divided by -2).
For Equation C, the slope is 3 (the coefficient of x is 3).
For Equation D, the slope is 13.
Now we can check which two lines have slopes that are negative reciprocals of each other. The negative reciprocal of 3 is -1/3, and the negative reciprocal of -3 is 1/3. None of the pairs of lines have slopes that are negative reciprocals of each other. Therefore, none of the given pairs of lines are perpendicular. The answer is none of the above (E).
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Theo has a dog that weighs 9 kilograms and 15 hundredths of a kilogram. Write the weight of Theo's dog as a decimal number.
Answer:
9.15kg
Step-by-step explanation:
1 hundredth: 0.01
15 hundredth: 0.01 × 15 = 0.15
Total weight of Theo's dog = 9 + 0.15
= 9.15kg
2x2 – 3x -9= (Factor completely.)
Answer:
The answer is 31. :)
Step-by-step explanation:
Solve using square root property
3(2x-1)^2=12
May someone pls help :) x(y+4) x=5 and y=2
Answer:
30
Step-by-step explanation:
x(y+4) x=5 and y=2
so substitute the values for the variables
5(2+4)
Order of Operations : Parentheses first
5(6)
=30
or distributive property
5(2) +5(4)
10+20
=30
You get the same answer anyway.
Hope this helped :)
convert the following two’s complement binary numbers to decimal. (a) 10102 (b) 1101102 (c) 011100002 (d) 10011111
Binary numbers into decimals:
(a) 10102 = -42 in decimal
(b) 1101102 = -210 in decimal
(c) 011100002 = 112 in decimal
(d) 10011111 = -9 in decimal
In two's complement binary representation, the most significant bit (MSB) represents the sign bit of the number (1 for negative and 0 for positive). For example, to convert 10102 to decimal, the leftmost bit is 1 which indicates that it is a negative number. The rest of the number is the magnitude of the number in binary.
To convert this binary number to decimal, first convert the number to decimal without taking the sign bit into consideration. In this case, the number is 010 which is equal to 2 in decimal. Then, multiply the sign bit (1) with the magnitude (2) to get the final answer which is -2 in decimal. Similarly, 1101102 is equal to -210 in decimal.
To convert a positive two's complement binary number to decimal, simply convert the binary number to decimal. For example, 011100002 is equal to 112 in decimal. To convert a negative two's complement binary number to decimal, multiply the magnitude with the sign bit (which is 1) and subtract it from the total.
For example, 10011111 is equal to 0111 in decimal. Multiplying the magnitude (0111) with the sign bit (1) gives 0111 which is subtracted from the total to give -9 in decimal.
In summary, two's complement binary numbers can be easily converted to decimal by simply following the rules above.
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Robin Cline is a computer analyst. Her annual salary is $52,789. What is her monthly salary? *
$3,444.22
$4,700.87
$4,399.08
$4,100.00
Answer:
$43999.08 per monthStep-by-step explanation:
step one:
We can calculate her monthly salary by dividing her annual salary by 12
given that her annual salary is $52,789
so we divide $52,789 by 12,
step two:
Note: we are dividing by 12 because in a year we have 12months
so $52,789/12
=$43999.08
step three:
from the division, we can see that in a month Robin Clines monthly salary is
$43999.08 per month
Determine which property of equality will be used as part of isolating the variable. Choose the best answer. Addition Property of Equality Multiplication Property of Equality 2 O = 10 2. C =12 O о T + 3 = 9 O - 23 = 2 O
The Addition Property of Equality will be used as part of isolating the variable in the equation "T + 3 = 9."
To isolate a variable in an equation, we use the properties of equality. The two properties of equality mentioned in the question are the Addition Property of Equality and the Multiplication Property of Equality.
1. Addition Property of Equality:
This property allows us to add the same value to both sides of an equation without changing the equality.
For example, if we have the equation "x + 3 = 9," we can isolate the variable by subtracting 3 from both sides: "x = 9 - 3," which simplifies to "x = 6."
In this case, we used the Addition Property of Equality to isolate the variable by subtracting 3.
2. Multiplication Property of Equality:
This property allows us to multiply both sides of an equation by the same non-zero value without changing the equality.
For example, if we have the equation "2x = 10,"
we can isolate the variable by dividing both sides by 2: "2x/2 = 10/2," which simplifies to "x = 5."
In this case, we used the Multiplication Property of Equality to isolate the variable by dividing both sides by 2.
In the given options, the equation "T + 3 = 9" requires the Addition Property of Equality to isolate the variable.
By subtracting 3 from both sides, we get "T = 9 - 3," which simplifies to "T = 6."
Therefore, the Addition Property of Equality will be used as part of isolating the variable in the equation "T + 3 = 9."
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A department store has 5,615 DVDs in stock. There are 9 large display cases in the store. If each display case holds the same number of DVDs, about how many DVDs can go on each display case
Answer:
623 dvds in one display case.
Step-by-step explanation:
9 display cases 5615 dvds
5615 divided by 9=623.8 repeated
you cant have .8 dvds so the answer would be 623 dvds in one display case.
I need help. Find the ratio of the trig function.
Answer:
tanΘ = \(\frac{4}{3}\)
Step-by-step explanation:
tanΘ = \(\frac{opposite}{adjacent}\)
the opposite side requires to be found.
let the opposite side be x then using Pythagoras' identity in the right triangle
x² + 12² = 20²
x² + 144 = 400 ( subtract 144 from both sides )
x² = 256 ( take square root of both sides )
x = \(\sqrt{256}\) = 16
then
tanΘ = \(\frac{16}{12}\) = \(\frac{4}{3}\)
The ______ is the essential geometric form in the construction and support of a geodesic dome. multiple choice question. hexagon triangle rhombus circle
The triangle is the essential geometric form in the construction and support of a geodesic dome.
A geodesic dome is a spherical structure like a round tent that is formed by the simultaneous placements of triangular structures one along the other. The triangles are placed in such a way it seems that rhombuses are placed one after the other.
They are lightweight, and a layer of canvas or transparent material is placed over the structure to make it water-proof.
It was first created by the American designer Richard Buckminster Fuller in the 20th century.
Although these homes save energy and give a perfect place to live in nature, they can also pose some issues like the placement of the chimney, creating rooms within the dome, leakage in the roof, and so on.
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b. if a is a 35 matrix and t is a transformation defined by t(x)ax, then the domain of t is .
For the matrix the true statement is given by option d. Both A and B are false.
Let's analyze each statement of the matrix as follow,
A) If A is a 3 times 5 matrix and T is a transformation defined by T(x) = Ax, then the domain of T is R⁵.
This statement is false.
The domain of the transformation T is not R⁵.
The domain of T is determined by the dimensionality of the vectors x that can be input into the transformation.
Here, the matrix A is a 3 times 5 matrix, which means the transformation T(x) = Ax can only accept vectors x that have 5 elements.
Therefore, the domain of T is R⁵, but rather a subspace of R⁵.
B) If A is a 3 times 2 matrix, then the transformation x right arrow Ax cannot be onto.
This statement is also false.
The transformation x → Ax can still be onto (surjective) even if A is a 3 times 2 matrix.
The surjectivity of a transformation depends on the rank of the matrix A and the dimensionality of the vector space it maps to.
It is possible for a 3 times 2 matrix to have a rank of 2,
and if the codomain is a vector space of dimension 3 or higher, then the transformation can be onto.
Therefore, as per the matrix both statements are false, the correct answer is d. Both A and B are false.
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The above question is incomplete, the complete question is:
Which of the following best characterizes the following statements:
A) If A is a 3 times 5 matrix and T is a transformation defined by T(x) = Ax, then the domain of T is R^5
B) If A is a 3 times 2 matrix, then the transformation x right arrow Ax cannot be onto
a. Only A is true
b. Only B is true
c. Both A and B are true
d. Both A and B are false
Find the component form of the vector that translates A(-4,8) to A'(7,-9)
The component form of the vector that translates A to A' is (11, -17)
A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.
In translation, the shape of the figure does not change but its size may change.
Other transformation processes are reflection and rotation.
The component form of the vector is governed by the rule; A' - A
so we subtract corresponding x- coordinates and corresponding y- coordinates
A' - A = (7, -9) - (-4, 8)
= ( 7 - - 4, -9 - 8)
-= ( 11, -17)
In conclusion, the vector that translates A to A' is ( 11, -17 )
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