Answer:
my suggested answer (576)
Step-by-step explanation:
i chose the wrong answer :(
Can you answer the 2 questions plzzz ASAP
Step-by-step explanation:
9. Scale factor
10. Pre image
It costs $10 to enter a petting zoo. Each cup of food to feed the animals is $2. If you have $14, write and solve an equation to determine how many cups of food you can buy.
PLEASE WRITE AN EQUATION
Answer:
5 cups
Step-by-step explanation:
To do this simply, we can just count up how many cups we can buy.
starting balance=
$12.50
after cup 1=
12.5−2.5=$10.00
after cup 2=
10−2.5=$7.50
after cup 3=
7.5−2.5=$5.00
after cup 4=
5−2.5=$2.50
after cup 5=
2.5−2.5=$0.00
From this, we can see that after buying the 5th
cup, the buyer is out of money, so that means that you can buy
5 cups of food to feed the animals before running out of money.
The number of cups is 2 cups
The equation is y = 2x + 10 where the slope of the equation x is the number of cups and y is the total amount
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the total number of cups be = x
The total amount y = $ 14
The cost of entering the zoo = $ 10
The cost of of feeding the animals per cup = $ 2
So , the equation will be
Total amount y = cost of entering the zoo + ( total number of cups x cost of of feeding the animals per cup )
Substituting the values in the equation , we get
y = 2x + 10 be equation (1)
On simplifying the equation , we get
14 = 2x + 10
Subtracting 10 on both sides of the equation , we get
2x = 4
Divide by 2 on both sides of the equation , we get
x = 2 cups
Therefore , the value of x is 2 cups
Hence , the number of cups is 2 cups
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Pleeeeeaaaasee help
The difference of a number and 8 is 46 less the number. Find the number
Answer:
54
Step-by-step explanation:
what u gotta do is add 46 with 8 and you can check my answer with 54-46=8
difference means you subtract
sum means you add
product means you multiply
and quotiant means you divide
The required number is 27.
Given that,
To determine the number the difference of a number and 8 is 46 less than the number
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
Let the number be x
The difference between a number and 8 is 46 less than the number
8 - x = x - 46
2x = 54
x = 27
Thus, the required number is 27.
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Required Information Use the following Information for the Qulck Studies below. (Algo) [The following information applles to the questions displayed below] Equipment costing $4,800 with a 10 -year useful life and an estimated $800 salvage value is acquired and started operating on January 1 . The equipment is estimated to produce 2,000 units of product during its life. It produced 300 units in the first year. QS 8-8 (Algo) Recording depreciation journal entries LO P1 Record the journal entries for equipment depreciation for the first year under straight-line, units-of-production, and double-decining-balance. Journal entry worksheet Record depreciation for the first year under stralght-ine. Wote: Enter debits before credit. Required information Use the following Information for the Culck Studles below. (Algo) the following infomation applies to the questions displayed below] Equipment costing $4,800 with a 10 -year useful life and an estimated $800 salvage value is acquired and started operating on January 1. The equipment is estimated to produce 2,000 units of product during its life. it produced 300 units in the first year. QS 8-8 (Algo) Recording depreciation journal entries LO P1 Record the journal entries for equipment depreciation for the first year under straight-line, units-of-production, and double-declining-balance. Journal entry worksheet Record depredation for the first year under units-of-production. Notest Cutter debits befure aredits. Required information Use the following information for the Qulck Studies below. (Algo) [The following information applies to the questions displayed below] Equipment costing $4,800 with a 10-year useful life and an estimated $800 salvage value is acquired and started operating on January 1 . The equipment is estimated to produce 2,000 units of product during its life. It produced 300 units in the first year. QS 8-8 (Algo) Recording depreciation journal entries LO P1 Record the Journal entries for equipment depreciation for the first year under straight-line, units-of-production, and double-declining-balance. Journal entry worksheet Record depreciabon for the first year under double-declining-balance. Noter: Enter detits before ureditu.
The annual depreciation expense would be calculated as ($4,800 - $800) / 10 = $400. The journal entry for the first year would be:
Depreciation Expense= $400, Accumulated Depreciation = $400
The journal entry for the first year, given the production of 300 units, would be:
Depreciation Expense $600 (300 units * $2)
Accumulated Depreciation $600
The journal entry for the first year, using a double-declining-balance rate of 20% (twice the straight-line rate of 10%), would be:
Depreciation Expense $960 ($4,800 * 20%)
Accumulated Depreciation $960
1. Straight-Line Depreciation:
The straight-line depreciation method allocates an equal amount of depreciation expense each year over the useful life of the equipment. In this case, the annual depreciation expense would be calculated as ($4,800 - $800) / 10 = $400. The journal entry for the first year would be:
Depreciation Expense $400
Accumulated Depreciation $400
2. Units-of-Production Depreciation:
The units-of-production method bases depreciation on the actual units produced. The depreciation per unit is calculated as ($4,800 - $800) / 2,000 = $2 per unit. The journal entry for the first year, given the production of 300 units, would be:
Depreciation Expense $600 (300 units * $2)
Accumulated Depreciation $600
3. Double-Declining-Balance Depreciation:
The double-declining-balance method accelerates depreciation in the early years of the asset's life. The depreciation rate is twice the straight-line rate. The journal entry for the first year, using a double-declining-balance rate of 20% (twice the straight-line rate of 10%), would be:
Depreciation Expense $960 ($4,800 * 20%)
Accumulated Depreciation $960
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Simplify the following expression using Boolean algebra and its identities. List the identity used at each step. x(yz
′
+x)(y
′
+z)
The expansion of Boolean algebra is x^2y + xzy' + xz^2
To simplify the expression using Boolean algebra and its identities, let's break it down step by step:
1. Distributive Property (x(yz' + x)(y' + z)): Distribute the x to both terms inside the first parentheses. xy' + x^2yz' + xy'z + xz
2. Distributive Property (xy' + x^2yz' + xy'z + xz)(y' + z): Distribute the second parentheses to all the terms inside. xy'y + x^2yz'y + xy'zy' + xzy' + xy'z + xz^2
3. Complement Law (xy'y = 0): Since y and y' are complements, their product is always 0. 0 + x^2yz'y + xy'zy' + xzy' + xy'z + xz^2
4. Simplification (x^2yz'y = x^2y): Combine like terms, as z'y + zy' = 1 (by the Complement Law). x^2y + xy'zy' + xzy' + xy'z + xz^2
5. Simplification (xy'zy' = 0): Since y and y' are complements, their product is always 0. x^2y + xzy' + xy'z + xz^2
6. Simplification (xy'z = 0): Since z and z' are complements, their product is always 0. x^2y + xzy' + xz^2
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If a bike shop has 4 rows of bikes. Each row has 16 bikes. If each bike has 2 tires ,how many tires are in the rows.
Answer:
Step-by-step explanation: There are 64 bikes in total.
Each bike has 2 tires so there are 64*2=128 tires
Find the solution set of the inequality: 8x+2 > 34
x > or < or >= or =
Inequality are expressions that are not separated by an equal sign. The solution to the given system of equation is x > 4
Inequality functionInequality are expressions that are not separated by an equal sign.
Given the inequality
8x+2 > 34
Subtract 2 from both sides
8x + 2 - 2 > 34 - 2
8x > 32
Divide both sides by 8
8x/8 = 32/8
x > 4
Hence the solution to the given system of equation is x > 4
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what is the quotient of the expression
\( \frac{21a {}^{3} b - 14ab {}^{2} + 7ab}{7ab} \)
Use the inner product p, q = a0b0 + a1b1 + a2b2 to find p, q , p , q , and d(p, q) for the polynomials in P2. p(x) = 2 − x + 5x2, q(x) = x − x2
(a) {p, q}
(b) ||p||
(c) ||q||
(d) d(p, q)
The inner product of two polynomials p(x) and q(x) is defined as:
p, q = ∫a to b p(x)q(x)dx,
where a and b are the limits of integration. However, in this problem, we are given a different inner product:
p, q = a0b0 + a1b1 + a2b2
where p(x) = a0 + a1x + a2x^2 and q(x) = b0 + b1x + b2x^2.
To find the inner product p, q for p(x) = 2 − x + 5x^2 and q(x) = x − x^2, we need to find the coefficients a0, a1, a2, b0, b1, and b2:
p(x) = 2 - x + 5x^2, so a0 = 2, a1 = -1, and a2 = 5.
q(x) = x - x^2, so b0 = 0, b1 = 1, and b2 = -1.
Then, we can compute the inner product:
p, q = a0b0 + a1b1 + a2b2
= 2(0) + (-1)(1) + 5(-1)
= -6
Therefore, {p, q} = -6.
To find ||p||, we can use the formula:
||p|| = sqrt(p, p)
where p, p is the inner product of p(x) with itself. In this case, we have:
p(x) = 2 - x + 5x^2, so a0 = 2, a1 = -1, and a2 = 5.
Then, we can compute the inner product of p(x) with itself:
p, p = a0a0 + a1a1 + a2a2
= 2(2) + (-1)(-1) + 5(5)
= 30
Therefore, ||p|| = sqrt(30).
Similarly, we can find ||q|| by computing the inner product of q(x) with itself:
q(x) = x - x^2, so b0 = 0, b1 = 1, and b2 = -1.
q, q = b0b0 + b1b1 + b2b2
= 0(0) + 1(1) + (-1)(-1)
= 2
Therefore, ||q|| = sqrt(2).
To find the distance d(p, q) between p(x) and q(x), we can use the formula:
d(p, q) = ||p - q||
where p - q is the vector difference between p(x) and q(x). In this case, we have:
p(x) = 2 - x + 5x^2, so a0 = 2, a1 = -1, and a2 = 5.
q(x) = x - x^2, so b0 = 0, b1 = 1, and b2 = -1.
Then, we can compute the vector difference:
p - q = (2 - 0) - (1 - 0)x + (5 - (-1))x^2
= 2 - x + 6x^2
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Write an R program that simulates a system of n components
connected in parallel. Let the probability that a component fails
be p (use p = 0.01). Estimate the probability that the system
fails.
The program that simulates a system of n components connected in parallel is coded below.
The R program that simulates a system of n components connected in parallel and estimates the probability that the system fails, given the probability that a component fails (p):
simulate_parallel_system <- function(n, p) {
num_trials <- 10000 # Number of trials for simulation
num_failures <- 0 # Counter for system failures
for (i in 1:num_trials) {
system_fail <- FALSE
# Simulate each component
for (j in 1:n) {
component_fail <- runif(1) <= p # Generate a random number and compare with p
if (component_fail) {
system_fail <- TRUE # If any component fails, system fails
break
}
}
if (system_fail) {
num_failures <- num_failures + 1
}
}
probability_failure <- num_failures / num_trials
return(probability_failure)
}
# Usage example
n <- 10
p <- 0.01
probability_system_failure <- simulate_parallel_system(n, p)
print(paste("Estimated probability of system failure:", probability_system_failure))
In this program, the `simulate_parallel_system` function takes two parameters: `n` (the number of components in the system) and `p` (the probability that a component fails). It performs a simulation by running a specified number of trials (here, 10,000) and counts the number of system failures. The probability of system failure is estimated by dividing the number of failures by the total number of trials.
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if the number of times you take the test were independent of the chance you fail what could that mean?
if the number of times you take the test were independent variable of the chance you fail what could that mean the difficulty of the test is consistent and unchanging.
The difficulty of the test is consistent and unchanging, making it so that the chance of failing is solely determined by the individual's performance on the test. Factors such as knowledge of the subject and the ability to focus can play a role in a person's success, but the actual chance of failing is not affected by how many times the test is taken. This means that those who fail the test will have to work harder and prepare better in order to pass it on the next attempt. Taking the test multiple times does not guarantee a higher chance of success, as the difficulty remains the same each time due to independent variable.
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Write the equation of the line that passes through the points (6, -1) and (12, 2).
Use any method you wish, but show your work or explain how you got your solution.
Answer:
y= 1/2x - 4
Step-by-step explanation:
\(slope = y2 - y1 \div x2 - x1\)
\(x1 = 6 \\ x2 = 12 \\ y1 = - 1 \\ y2 = 2 \\ 2 - ( - 1) \div 12 - 6 \\ 3 \div 6 \\ \)
slope=1/2
equation of the line
m
\(m = y2 - y0 \div x2 - x0 \\ \)
1/2=2-y/12-x
\(2(2 - y) = - 1(12 - x) \\ 4 - 2y = 12 + x \\ - 2y = 12 - 4 + x \\ - 2y = 8 + x \\ divide \: by \: - 2 \: both \: sides \)
y=1/2x - 4
Which value of a makes 7+5(x-3) = 22 a true statement?
The statement 7+5(x-3) = 22 is true for x = 6.
Solving an equation:Finding the equation's solution is the concept of solving an equation. The value of the variable that may be used to verify the equation is known as a solution.
The same number added on both sides
Taking away the same amount from both sides
using the same integer on both sides when multiplying
using the same integer to divide into both sides
Here we have
7 + 5(x-3) = 22
The above expression can be solved as follows
7 + 5(x-3) = 22
Multiply 5 and (x - 3) terms
=> 7 + 5x - 15 = 22
=> 5x - 8 = 22 [ ∵ -15 + 7 = -8 ]
Add 8 on both sides
=> 5x - 8 + 8 = 22 + 8
=> 5x = 30
Divided by 5 into both sides
=> 5x/5 = 30/5
=> x = 6
Therefore,
The statement 7+5(x-3) = 22 is true for x = 6.
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BRAINLIEST ASAP AND 15 POINTS Sawyer is creating a scaled drawing of the pentagon for his social studies class. The Pentagon is a regular polygon with each side measuring 921 feet long. He plans to use a scale of 3 cm = 307 feet. What will be the total perimeter of the pentagon on sawyer's drawing?
Answer:
\(9\text{ cm}\)
Step-by-step explanation:
We can write the following proportion:
\(\frac{\text{old perimeter}}{\text{scaled perimeter}}=\frac{\text{old scale factor}}{\text{new scale factor}}\)
We know that the original perimeter of the Pentagon is 921 feet. So, substitute 921 for "old perimeter."
We are going to use a scale of 3 cm = 307 feet. Since the 307 feet corresponds to the original perimeter, we are going to substitute 307 for "old scale factor" and 3 for "new scale factor."
This gives us:
\(\frac{921}{x}=\frac{307}{3}\)
So, to find our scaled perimeter, we just need to find x.
Cross multiply:
\(307x=2763\)
Divide both sides by 307:
\(x=9\)
In other words, the total perimeter of Sawyer's drawing will be 9cm.
And we're done!
A wall 15 m long, 30 cm wide and 4 m high is made of bricks, each measuring
22 cm x 12.5 cm x 7.5 cm . If 1/12 of the total volume of the wall consists of mortar, how many
12
bricks are there in the wall
You deposit $2500 in a bank account. Find the balance after 3 years for an account that pays 2.5% annual interest compounded monthly. Round to the nearest dollar.
pls help test today!!
After 3 years, the balance in the account would be approximately $2,708.
To find the balance after 3 years for an account that pays 2.5% annual interest compounded monthly, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A is the final balance
P is the principal amount (initial deposit)
r is the annual interest rate (as a decimal)
n is the number of times the interest is compounded per year
t is the number of years
In this case:
P = $2500
r = 2.5% = 0.025 (as a decimal)
n = 12 (monthly compounding)
t = 3 years
Plugging in these values into the formula, we get:
A = $2500(1 + 0.025/12)^(12*3)
A = $2500(1.00208333333)^(36)
Using a calculator, we can evaluate the expression inside the parentheses and calculate the final balance:
A ≈ $2500(1.083282498) ≈ $2708.21
Therefore, after 3 years, the balance in the account would be approximately $2,708.
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You are collecting data of your taco sales. The first day you sold 90 fish tacos. The second day you sold 86 fish tacos. The third day you only sold 82 fish tacos. Using this data, predict the amount of fish tacos you will sell over the next three days. Show your work.
Answer:
on the 4th day you'll sell 78 fish tacos
Step-by-step explanation:
your going down by 4 each day
hope this helps :)
but who the heck still eats fish tacos
the scale on a map shows that 5 centermeater =2 kilometers. What number of centameaters on the map represents an actual distance of 7 kilomeaters.
Explain the different ways the bureaucracy can be controlled. Discuss the reasons why it is so difficult to control the bureaucracy.
The complex nature of bureaucracies, combined with factors
such as autonomy, information asymmetry, and institutional resistance, makes it challenging to control them fully.
Combination of legislative oversight, executive control, judicial review, administrative procedures, and public participation
The bureaucracy can be controlled through various means, including,
Legislative Oversight,
The legislature, such as a parliament or congress, can exercise control over the bureaucracy through oversight mechanisms.
This includes holding hearings, conducting investigations, and reviewing agency budgets.
By closely monitoring bureaucratic actions and decision-making processes, the legislature can ensure accountability and transparency.
Executive Control,
The executive branch, which includes the president or prime minister.
Has the power to control the bureaucracy through appointments, policy directives, and administrative orders.
The executive sets the agenda and priorities for the bureaucracy, establishes goals, and monitors performance.
Judicial Review,
The judiciary plays a crucial role in controlling the bureaucracy through the power of judicial review.
Courts can examine bureaucratic actions and determine whether they comply with the law and constitution.
Judicial review acts as a check on excessive bureaucratic power and ensures adherence to legal principles.
Administrative Procedures:,
Implementing standardized administrative procedures and regulations can help control the bureaucracy.
These procedures define the decision-making processes, establish checks and balances, and provide guidelines for accountability.
Rules and regulations can prevent bureaucratic abuse and ensure consistency.
Public Participation and Feedback,
Engaging the public in the decision-making process and seeking their feedback can be an effective way to control the bureaucracy.
By involving citizens, civil society organizations, and interest groups, the bureaucracy can be held accountable to the people it serves.
Despite these control mechanisms, controlling the bureaucracy can be challenging due to several reasons,
Bureaucratic Autonomy,
Bureaucracies often have a degree of independence and discretion in implementing policies and carrying out their functions.
This autonomy can make it difficult for external actors to influence or control their actions.
Complexity and Size,
Bureaucracies are often complex and large organizations with multiple layers and departments.
Managing and controlling such complex systems can be a daunting task.
And it becomes challenging to ensure consistent control throughout the organization.
Information Asymmetry,
Bureaucracies possess specialized knowledge and expertise in their respective domains.
Which can create information imbalances between bureaucrats and external actors.
This information asymmetry can limit effective control and oversight by external actors who may lack the necessary expertise or information.
Institutional Resistance,
Bureaucracies develop their own organizational cultures, norms, and interests over time.
These institutional factors can lead to resistance to external control and influence.
Bureaucrats may seek to protect their autonomy, power, or resources, making it difficult to implement changes or reforms.
Political Interests and Influence,
Bureaucracies can be subject to political pressure and influence, both from within the government and external actors.
Political considerations and interests may sometimes override effective control mechanisms.
Leading to the manipulation of bureaucracy for partisan or personal gains.
Lack of Resources and Expertise,
Controlling the bureaucracy requires adequate resources, technical expertise, and capacity-building efforts.
Insufficient resources or a lack of expertise among external control mechanisms can hinder effective control over the bureaucracy.
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Find the linear approximation of the function f(x, y) = √/10 – 2x² — y² at the point (1, 2). f(x, y) ~ ?
The linear approximation of the function f(x, y) = √/10 – 2x² — y² at the point (1, 2). f(x, y) is 2.4495.
Given function:
f(x,y)=√10−2x²−y²
Linear approximation:
The linear approximation is used to approximate a function at a point by using a linear function, which is in the form of a polynomial of degree one.
The linear approximation of the function f(x,y) = √/10 – 2x² — y² at the point (1, 2) can be found using the following formula:
f(x,y) ~ f(a,b) + fx(a,b) (x-a) + fy(a,b) (y-b), where (a,b) is the point at which the linear approximation is being made, fx and fy are the partial derivatives of f with respect to x and y, respectively.
To find the partial derivatives, we differentiate f(x,y) with respect to x and y respectively.
∂f(x,y)/∂x = -4x/√(10-2x²-y²)∂f(x,y)/∂y
= -2y/√(10-2x²-y²)
Now, we can evaluate the linear approximation at the point (1,2):f(1,2)
= √6fy(1,2)
= -2/√6fx(1,2)
= -4/√6
Hence, the linear approximation of f(x,y) at the point (1,2) is:
f(x,y) ~ √6 - 4/√6 (x-1) - 2/√6 (y-2)
Approximately,f(x,y) = 2.4495 - 1.63299 (x-1) - 1.63299 (y-2)
Therefore, f(x,y) ~ 2.4495.
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Employer A is offering you a position for $35,000 per year. Employer B is offering the same job for $18.00 per hour. Assuming both jobs require a 40-hour work week for 52 weeks, which job pays more?
Answer:
employer b
Step-by-step explanation:
he is offering 37,440.
Answer:
B
Step-by-step explanation:
help me its due today
Answer:
(1,-1)
Step-by-step explanation:
my guy, are you good? dude this question is so easy l m a o
anyways, heres the explanation
where there is an "x," replace it with a 1
so: -4-9y = 5
-9y = 9
y = -1
and the question already gives you what x is so:
(x,y)
(1,-1)
Subtract 0.6 - 0.23.
What is the probability that a randomly chosen young adult has at least a high school education? which rule of probability did you use to find the answer?
The probability that a randomly chosen young adult has at least a high school education can be found using the rule of probability called the "complement rule".
To find the answer, we need to subtract the probability that a randomly chosen young adult does not have at least a high school education from 1. In other words:
Probability of having at least a high school education = 1 - Probability of not having at least a high school education.
By using this rule, we can calculate the probability.
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Justin and Hayden are playing a number game. Justin’s number is the product of 4x0.06. Hayden’s number is 0.04 less than the product of Justin’s number and 4. What is Hayden’s number?
A. 0.92
B. 0.96
C. 0.60
D. 1.0
Answer:
0.92
Step-by-step explanation:
A group of 40 students from your school is part of the audience for a TV game show. The total number of people in the audience is 130. What is the theoretical probability of 5 students from your school being selected as contestants out of 10 possible contestant spots? P(5 students selected) ______
Step 1
Ways to choose 5 from 40 multiplied by ways to choose 5 from the other 90 and number of ways to choose 10 in all from 130 as the denominator
Step 2:
Apply combination formula
\(^nC_r\text{ = }\frac{n!}{(n\text{ - r)!r!}}\)Step 3:
Ways to choose 5 from 40
\(^{40}C_5\text{ = }\frac{40!}{(40-5)!5!}\text{ = 658008 way}\)Step 4
ways to choose 5 from the other 90
\(^{90}C_5\text{ = }\frac{90!}{(90-5)!5!}\text{ = 43949268 ways}\)Step 5
ways to choose 10 in all from 130
\(^{130}C_{10}\text{ = }\frac{130!}{(130-10)!10!}\text{ = 266401260900000 ways}\)Step 6
Ways to choose 5 from 40 multiplied by ways to choose 5 from the other 90 and number of ways to choose 10 in all from 130 as the denominator
\(\begin{gathered} \text{Probability of selecting 5 students from your school} \\ =\text{ }\frac{\text{658008 }\times\text{43949268 }}{\text{266401260900000 }} \\ =\text{ 0.109} \end{gathered}\)Please help asap!!!!
Below is a system of equations. Which method would you use to solve this? Why? Solve the problem, explaining each step.
x = y – 3
2x + y = 12
Answer:
(using substitution to solve the problem)
x=y-3
2x+y=12
2(y-3)+y=12
2y-6+y=12
3y=18
y=6
y=6
x=6-3
= (3, 6)
Step-by-step explanation:
using substitution, substitute the x in the second equation to y-3, to find the value of y. after that distribute the 2 into the parenthesis and collect like terms. once you simplify, you have the value of y, so substitute the value of y into the first equation to find x. once you have both values put them in the ordered pair form and you're done.
i hope this helps :)
diana had 41 stickers she put them in 7 equal groups she put as many possible in each group she gave the leftover stickers to her sister how many stickers did diana give to her sister
6 number of stickers diana given to her sister.
What is Division?A division is a process of splitting a specific amount into equal parts.
Diana had 41 stickers and she put them in 7 equal groups. To find out how many stickers she put in each group, we can divide 41 by 7:
41 ÷ 7 = 5 with a remainder of 6
This means that Diana put 5 stickers in each of the 7 groups, and she had 6 stickers leftover.
She gave the leftover stickers to her sister, so she gave her sister 6 stickers.
Hence, 6 number of stickers diana given to her sister.
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Decide whether enough information is given to prove that the triangles are congruent. If so, state the theorem you would use.
Answer:
(6). SAS
(7). Not enough information
Step-by-step explanation:
Given
See attachment for triangles
Solving (6): \(\triangle ABC\ and\ \triangle DEC\)
In the attachment, we have that:
\(\vert AC \vert = \vert CD \vert\) -- Side
\(\angle ACB = \angle DCE\) --- Angle
and
\(\vert BC \vert = \vert CE \vert\) -- Side
From the information listed out, we can conclude that there is enough information to prove the congruence.
And the postulate is: SAS
Solving (7): \(\triangle FGH\ and\ \triangle JKH\)
In the attachment, we have that:
\(\vert FH \vert = \vert HJ \vert\) -- Side
and
\(\vert HK \vert = \vert HG \vert\) -- Side
The two sides can not be used to prove the congruence of both angles.
what is the answer of 9-4m=19?
Answer:
\(9 - 4m = 19 \\ 4m = 9 - 19 \\ 4m = -10 \\ m = \cancel{\frac{-10}{4} } \\ \\ m = \frac{-5}{2} \\ \\ m = - 2.5\)
hope helpful~
Answer:
m=-2.5
Step-by-step explanation: