Answer:
A. 4x-2=10
B. x=3
Step-by-step explanation:
4x is the same thing as 4 times x
? times 4 -2 = 10
3x4-2=10
proof
3x4-2=10
12-2=10
10=10
A system of equations is shown below
2x+y=9,x+3y=-13
Which sequence of operations would produce the correct x- or y-value of the solution to this system of equations?
a)multiply the first equation by 3 and add the result to the second equation to eliminate y and solve for x
b)multiply the first equation by –3 and add the result to the second equation to eliminate y and solve for x
c)multiply the second equation by 9/13 and add the result to the first equation to eliminate the constant and solve for x and y
d) multiply the second equation by –1 and add the result to the first equation to eliminate x and solve for y
The sequence of operations is multiply the first equation by –3 and add the result to the second equation to eliminate y and solve for x. The correct option is - b)
Solving a system of equations by EliminationFrom the question, we are to determine the sequence of operations that would produce the correct x- or y-value of the solution to the given system of equations
The given systems of equations are
2x+y=9
x+3y=-13
First, multiply the first equation by -3That is
-3 × (2x+y=9)
-6x-3y=-27
Now, add to the second equation-6x-3y=-27
+(x+3y=-13)
-----------------
-5x = -40
Thus, we can solve for x
These sequence of operations will enable us to eliminate y and solve for x
Hence, the sequence of operations that would produce the correct x- or y-value of the solution to the system of equations is multiply the first equation by –3 and add the result to the second equation to eliminate y and solve for x. The correct option is - b)multiply the first equation by –3 and add the result to the second equation to eliminate y and solve for x
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hep me with this question
will give brainliest
Answer:
a) \(f(x) = x + 9\)
b) 59 positive workers (FOR DAY 70)
c) Day 10
Step-by-step explanation:
X = Days
Y = Positive workers
Suppose x is 1. What is x after x -= 1? A. 0. B. 1. C. 2. D. -1. E. -2.
Answer:
I can't tell if there is a negative sign there but if there is it's -1, if not 1
Step-by-step explanation:
x=1
1=1
After the shorthand statement x -= 1 is executed, the value of x will be 0. So, the correct option is option A. 0.
The "-=" operator is a shorthand notation for subtracting the right-hand side value (in this case, 1) from the left-hand side variable (x) and then assigning the result back to the left-hand side variable. So "x -= 1" is equivalent to "x = x - 1".
The expression x -= 1 is shorthand for x = x - 1, which subtracts 1 from the value of x and then assigns the result back to x.
In this case, since the initial value of x is 1, subtracting 1 from it gives a result of 0, which is then assigned back to x. So the final value of x is 0.
Therefore, the correct answer is A. 0.
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Find area of a parallelogram with a height of 8 inches and a base of 14 inches
Answer:
\( \boxed{ \bold{ \huge{ \boxed{ \sf{112 \: {inches} \: ^{2} }}}}}\)
Step-by-step explanation:
Given,
Height of a parallelogram ( h ) = 8 inches
Base of a parallelogram ( b ) = 14 inches
Area of a parallelogram ( A ) = ?
Finding the area of a parallelogram
\( \boxed{ \sf{area \: of \: parallelogram \: = \: base \: \times \: height}}\)
⇒\( \sf{area \: of \: parallelogram \: = \: 14 \: \times 8}\)
⇒\( \sf{area \: of \: parallelogram = 112 \: {inches}^{2} }\)
Hope I helped!
Best regards! :D
Ostons
3,16 me
pies
1. The Cozy Inn wants to
gather information
about customer
satisfaction
concerning the
cleanliness of its
rooms upon check-in
This Inn has 100
rooms, and the
manager decides to
start with the first room
and place surveys in
this room and every 5th
room thereafter (room
6, room 11. room 16,
etc.)
Complete question :
The Cozy Inn wants to gather information about customer satisfaction concerning the cleanliness of its rooms upon check-in. This Inn has 100 rooms, and the manager decides to start with the first room and place surveys in this room and every 5th room thereafter (room 6, room 11. room 16, etc.). This is an example of a :
Answer: Systematic sampling
Step-by-step explanation: Systematic sampling usually takes an ordered technique or process in dealing with samples. Systematic sampling could assume a randomized start point in selecting observations, However, every other successive points usually follow a fixed order or selection process. In the scenario above, the manager sampling choice involves an ordered and fixed selection process whereby every fifth sample after the initial point is considered. Hence, resulting in predictable points, such as 6th, 11th, 16th, 21st, 26th, 31st,...and so on.
Help! Pls answer correctly!
Answer:
numbers of Ostrich he keep = 725Step-by-step explanation:
Area of field = 30 × 155 + 90 × 45Area of field = 4650 + 4050Area of field = 8700 m²1 ostrich need = 12 m²numbers of Ostrich = 8700 ÷ 12
numbers of Ostrich = 725
Solve: -2/3a - 6 = 12
a =
Answer: -27 is the correct answer. (apparently)
Andrew was taking a math quiz. There was a question on the quiz that had the expression 8x−9−12x+5. Andrew’s teacher told the class there was a typo and the expression was supposed to have one set of parentheses in it.
The parentheses could be put in the expression 8x − 9 − 12x + 5 between 9 and 12x as follows 8x − (9 − 12x) + 5 to be equivalent to the original expression.
What are parentheses in expressions?In mathematical expressions, parentheses modify the order of algebraic operation, PEMDAS.
The values in the parentheses are evaluated first before extending the result to the rest of the expression, following the PEMDAS rule.
PEMDAS simply specifies that mathematical operations should follow this order: Parentheses, Exponents, Multiplication and Division, Addition, and Subtraction.
8x − 9 − 12x + 5 = -4x -4 = -4(x + 1)
8x − (9 − 12x) +5 = 8x − 9 − 12x + 5 = -4x -4 = -4(x + 1)
Thus, the result of the original expression is equivalent to result of the expression in parentheses, rendering the parentheses unnecessary.
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Question Completion:Where could you put parentheses in 8x – 9 – 12x + 5 to make a new expression that is still equivalent to the original expression? How do you know that your new expression is equivalent?
-56=8-2w
What is the answer?
Answer:
Step-by-step explanation:
W=32
−−→AB=(xy)
What values should x and y take?
please answer
The values of x and y are 7 and 4, respectively
How to determine the value of x?From the graph, we have the following highlights:
The point A is at:
A = 7
The point B is located at:
B = 4
The coordinate (x,y) is represented as:
(x,y) = (A,B)
So, we have:
(x,y) = (7,4)
Hence, the values of x and y are 7 and 4, respectively
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helppppppppppppppppppppp
Answer:
heyy I'm sure it's 19 690
Answer:
value of x = -6
Step-by-step explanation:
a school Liberian ordered new books for the library of the new books covered 1/3 are science 2/5 are biography,and the rest of the books are friction. what fraction of the books ordered are fiction?
Given that of the new books the new books the new liberian ordered;
-1/3 are science
-2/5 are biography
Let s, b and f represent the fraction of science, biography and fiction of the new book.
\(s+b+f=1\)substituting the values of s and b given;
\(undefined\)|2x - 3] > 7 is equivalent to:
Answer:
x<5
Step-by-step explanation:
2x-3>7 you add three to both sides
2x>10 you then divide 2x by 2 and 10 by 2 which switches the symbol around
x<5 that's the answer
Answer:
Step-by-step explanation:
x∈(-∞,-2)∪(5,+∞)
Lily finds some dimes and quarters in her piggy bank. How much money (in dollars) does she have if she has 5 dimes and 12 quarters? How much money (in dollars) does she have if she has x dimes and y quarters?
Answer: 7 dollars
Step-by-step explanation:
i think
Answer: A dollar is 100 cents, so you would add the 5 dimes and 12 quarters together. A dime is 10 cents so 10x5 is 50, so you would have 50 cents in dimes. A quarter is 25 cents, so you would multiply 12x25 and you would get 300 and you add those both together to get 350 cents. A dollar is 100 cents so you would have 3 dollars and the remaining 50 cents would stay 50 cents! <33
Step-by-step explanation:
A club has 200 members, 45 of whom are lawyers, 38 of the memebres are liars, while 132 are neither lawyers nor liars. What is the probability that if a random person is randomly chosen from the group of lawyers, the person will be a liar?
The probability that if a random person is chosen from the group of lawyers, the person will be a liar is 38/45, or 0.84.
As a fraction: The probability is given as 38/45, which means that out of 45 people chosen randomly from the group of lawyers, 38 of them are expected to be liars.
As a decimal: To express the probability as a decimal, we divide the numerator (38) by the denominator (45):
38 ÷ 45 ≈ 0.8444444444444444
Rounded to two decimal places, this would be approximately 0.84.
As a percentage: To express the probability as a percentage, we multiply the decimal form by 100:
0.8444444444444444 * 100 ≈ 84.44%
Rounded to two decimal places, this would also be approximately 84.44%.
So, the probability that if a random person is chosen from the group of lawyers, the person will be a liar can be expressed as 38/45 as a fraction, approximately 0.84 as a decimal, or approximately 84.44% as a percentage.
This can be expressed as a fraction, decimal, or percentage, whichever is more helpful.
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The degradation of organic waste to methane and other gases requires water content. Determine the minimum water amount (in gram) to degrade 1 tone of organic solid waste, which has a chemical formula of C130H200096N3. The atomic weight of C, H, O and N are 12, 1, 16 and 14, respectively.
The minimum water amount to degrade 1 tonne of organic solid waste (C130H200096N3) is approximately 188.4 tonnes.
To determine the minimum water amount required for the degradation of organic waste, we need to consider the stoichiometry of the chemical reaction involved. Given the chemical formula of the organic waste (C130H200096N3), we can calculate the molar mass of the waste by summing the atomic weights of each element: (130 * 12) + (200 * 1) + (96 * 16) + (3 * 14) = 16608 g/mol.
Since 1 tonne is equal to 1000 kilograms or 1,000,000 grams, we divide this mass by the molar mass to find the number of moles of the waste: 1,000,000 g / 16608 g/mol = approximately 60.19 moles.
In the process of degradation, organic waste is typically broken down through reactions that involve water. One common reaction is hydrolysis, where water molecules are used to break chemical bonds. For each mole of organic waste, one mole of water is generally required for complete degradation. Therefore, the minimum water amount needed is also approximately 60.19 moles.
To convert moles of water to grams, we multiply the moles by the molar mass of water (18 g/mol): 60.19 moles * 18 g/mol = approximately 1083.42 grams.
However, we initially need to find the water amount required to degrade 1 tonne (1,000,000 grams) of waste. So, we scale up the water amount accordingly: (1,000,000 g / 60.19 moles) * 18 g/mol = approximately 299,516 grams or 299.516 tonnes.
Therefore, the minimum water amount needed to degrade 1 tonne of organic solid waste (C130H200096N3) is approximately 188.4 tonnes.
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An object is moving at a speed of 850 miles per hour. Express this speed in meters per minute. Round your answer to the nearest whole number.
Answer:it would be 1385
Step-by-step explanation:because 850 miles per hour converted into meter per min would be 22799.04 meters per sec and then u would Find the number in the whole number place
4
and look one place to the right for the rounding digit on the right side of the decimal point
7
.Round up if this number is greater than or equal to
5
and round down if it is less than
5
1385
The speed in meters per minute is 22799.
Given that,
An object is moving at a speed of 850 miles per hour.Based on the above information, the calculation is as follows:
We know that
1 miles per hour = 26.822 meters per minute
So for 850 it should be 22799.
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Juan worked 2.5 hours and earned $37.00. Lisa was paid $42.00 for 3 hours of work. Which of the following statements is true?
Juan made a lower rate of pay because he made less money.
Lisa made a better rate of pay because she made more money.
Lisa said she made a better rate of pay because her rate was $14 an hour.
Juan said he made a better rate of pay because he was paid $14.80 an hour.
Answer:
Juan said he made a better rate of pay because he was paid $14.80 an hour.
Step-by-step explanation:
Juan made more because he makes $14.80 an hour, whereas Lisa makes only $14 an hour.
Enjoy your day! :D
Climbing rope will break if pulled hard enough. experiments show that 10.5 mm dynamic nylon rope has a mean breaking point of 5036 lbs with a standard deviation of 122 lbs. assume breaking points of rope are normally distributed.
The sketch of the normal curve has been attached. A proportion of 38.6% of Nylon ropes will break with a load of 5000 points and with a load of 5056.13 lbs, 95% of Nylon ropes will break.
a)
It is already given that the mean of the distribution is 5036lbs and the standard deviation is 122 lbs.
Hence to sketch the distribution we will take up the apex of the bell shape at the mean i.e 5035 lbs.
A normal distribution usually ranges from 6 to 7 standard deviations.
Therefore, we will take up three standard deviations from the mean on both sides and make the curve.
Hence we get the image attached
b)
Here we need to find the proportion of ropes that will break with a 5000 lbs load.
Hence we need to calculate
P(X<5000)
To do this we will first convert it to a standard normal distribution value
To do that we will use the formula
(x - μ)/σ
(500- - 5036)/ 122
= -36/122
= - 0.295
Now
Φ(-0.295) = 1 - Φ(0.295)
= 1 - 0.614
= 0.386
Therefore the proportion is 38.6%
c)
Here we are asked to calculate the load at which 95% of the ropes will break. Hence we need to calculate a value of x for which the probability will be 0.95
Hence we get
Φ((x - μ)/σ) = 0.95
Φ((x - 5036)/122) = 0.95
Looking up the p-value we find that the z-score of 1.65 has the value closest to it hence we get
Φ((x - 5036)/122) = Φ(1.65)
or, x - 5036 = 1.65 X 122
or, x = 20.13 + 5036
or, x = 5056.13
Complete Question
The climbing rope will break if pulled hard enough. Experiments show that 10.5mm Dynamic nylon rope has a mean breaking point of 5036 lbs with a standard deviation of 122 lbs. Assume breaking points of rope are normally distributed.
a) Sketch the distribution of breaking points for this rope.
b) What proportion of ropes will break with 5000 lbs of load?
c) At what load will 95% of all ropes break?
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simplify 4x5 - 25x³/ 2x-5
Help me and I'll reward you.
Answer:
i don't understand
Step-by-step explanation:
the question is 11 divided 2and2over 3
\(=\frac{x^{3}(4x^{2} -25) }{2x-5} \\=\frac{x^{3} (2x+5)(2x-5)}{2x-5} \\=x^{3} (2x+5)\\=2x^{4}+5x^{3}\)
⇒Note there was a 2x-5 in the numerator and a 2x-5 in the denominator so they canceled each other. Leaving the above expression.
Simplify the expression below.
10^3 • 10^7
A. 10^4
B. 10^21
C. 10^12
D. 10^10
Answer:
D. 10^10
Step-by-step explanation:
Multiplying numbers with exponents rule : \(a^b*a^c=a^b^+^c\)
explanation of rule : we simply keep the bases the same and add the exponents.
10^3 • 10^7
keep the base as 10 and add the exponents
\(10^3 * 10^7 =10^3^+^7=10^1^0\)
Keep in mind that this only works when the bases are the same.
Answer:
\(\large\boxed{\boxed{\underline{\underline{\maltese{\pink{\pmb{\sf{\: ANSWER : \: \: \: \: 10^{10} }}}}}}}}\)
Step-by-step explanation:
The given expression, 10³ • 10⁷ has the same base but different exponential values. We know that,
\(\large\sf \: a^{x} * a^{y} = a^{x + y}\)So,
\(\large{\mathfrak{10^{3} * 10^{7} }}\)
= \(\large{\mathfrak{10^{3 + 7} }}\)
= \(\huge{\boxed{\mathfrak{10^{10} }}}\) (3rd option)
_____
Hope it helps!
\(\mathfrak{Lucazz}\)
A cattle farmer wants to save for his daughter's college tuition. He will have to pay P50,000 at the end of every year for the next four years that his daughter attends college. He has 8 years until his daughter starts college to save up for her tuition. Using a 7\% interest rate compounded annually, what is the amount the farmer would have to save every year for the 8 years?
Calculating this expression will give us the amount the farmer needs to save annually over the 8-year period.
Given:
Payment required at the end of each year: P50,000
Number of years until the daughter starts college: 8
Interest rate: 7% (compounded annually)
We can calculate the annual savings using the formula for the present value of an ordinary annuity:
P = \dfrac{PMT \times (1 - (1 + r)^{-n}{r}
Where:
P = Present value (amount to be saved annually)
PMT = Payment amount (P50,000)
r = Interest rate per period (7% or 0.07)
n = Number of periods (8)
Let's substitute the given values into the formula:
\[ P = \dfrac{50,000 \times (1 - (1 + 0.07)^{-8}{0.07} \]
Calculating this expression will give us the amount the farmer needs to save annually over the 8-year period.
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A
5
B
10
C
6
D
4
pls help
Answer:
Pretty sure it's C.
Step-by-step explanation:
A and B are 6 units away from each other.
Answer:
C
Step-by-step explanation:
Count the boxes
find the midpoint between (1,2) and (11,12)
The value of the midpoint between (1, 2) and (11,12) is,
⇒ (6, 7)\
We have to given that;
To find the midpoint between (1,2) and (11,12).
Since, A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
Now, By definition of midpoint, we get;
The midpoint between (1,2) and (11,12) is,
⇒ (1 + 11)/2, (2 + 12) / 2
⇒ (12/2, 14/2)
⇒ (6, 7)
Thus, The value of the midpoint between (1, 2) and (11,12) is,
⇒ (6, 7)\
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Simplify 3.3/2+ 8 divided by 2- (4 + 3)
Answer:
A. 24
Step-by-step explanation:
3 . (9) + 8 ÷ 2 - (7)
27 + 4 - 7
31 - 7
24
The answer is 24.
Simplifying an expression basically means writing the equation in the simplest form.
How to divide 3.3/2+ 8 by 2- (4 + 3)?Given : 3.3/2+ 8 divided by 2- (4 + 3)
3 . (9) + 8 ÷ 2 - (7)
=>27 + 4 - 7
=>31 - 7
=>24.
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malik has a bag with 7 green marbles and 3 black marbles. he will draw a marble from the bag without replacing it. he will then draw a second marble from the bag. what equation can be used to show the probability of malik drawing a green marble and then a black marble?
Probability is the likelihood or chance of an event occurring.
The probability of Malik drawing a green marble on the first draw is 7/10, and the probability of drawing a black marble on the second draw, without replacement, is 3/9 (since there are 9 marbles left in the bag after the first draw, and 3 of them are black). Therefore, the probability of drawing a green marble followed by a black marble is:
P(Green, then Black) = P(Green) x P(Black | Green)
P(Green, then Black) = (7/10) x (3/9)
Simplifying:
P(Green, then Black) = 7/30
So the equation to show the probability of Malik drawing a green marble and then a black marble is:
P(Green, then Black) = (7/10) x (3/9) = 7/30
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A credit card has an annual percentage rate of 23 988% the balanced owed is $1450.00. Assuming no additional charges are made. What is the minimum monthly payment in dollars, required to pay off the balance in 12 months? (No links)
120.83
149.82
175.33
299.65
A national shipping company advertises that standard shipping can
take up to seven days. If you were to write the nuli hypothesis in symbols,
what would it be?. *
A. M= 7 days
B. M>/= 7 days
C. M< 7 days
D. M> 7 days
Question 9 of 10
If you vertically compress the absolute value parent function, F(x) = |x|, by
multiplying by 3/4 what is the equation of the new function?
A: G(x)= |x+3/4|
B: G(x)= 3/4 |x|
C: G(x)= |x|-3/4
D: G(x)= |3/4 x|
Answer:
B. g(x) = 3/4|x|
Step-by-step explanation:
Multiplying the function by a number in front will stretch, compress, and/or reflect the function over the x-axis.
So if the number in front is negative that will flip it upside down, over the x-axis.
If the number is greater than 1, the function will be vertically stretched, narrower, slimmer, skinnier, taller.
In this case, the graph is vertically compressed, making it flatter, fatter, wider smashed. In this case is where the number multiplied in front of the parent function is LESS than one.
g(x) = 3/4 |x|
After preparing and posting the closing entries for revenues and expenses, the income summary account has a debit balance of $23,000. The entry to close the income summary account will be: Debit Owner Withdrawals $23,000; credit Income Summary $23,000. Debit Income Summary $23,000; credit Owner Withdrawals $23,000. Debit Income Summary $23,000; credit Owner Capital $23,000. Debit Owner Capital $23,000; credit Income Summary $23,000. Credit Owner Capital $23,000; debit Owner Withdrawals $23,000
Debit Income Summary $23,000; credit Owner Capital $23,000.
The entry to close the income summary account will be to debit the Income Summary by $23,000 and credit the Owner Capital account by $23,000. This entry transfers the net income or loss from the income summary account to the owner's capital account. Since the income summary account has a debit balance of $23,000, it means that expenses exceeded revenues, resulting in a net loss. By crediting the Owner Capital account, the loss is allocated to the owner's equity, reducing their capital by the amount of the loss.
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