Ava turtle is half as old as her parrot in 10 years her turtle will be 3/4 as old as her parrot .write the equation to represent this situation.How old is avas turtle

Answers

Answer 1

Answer:

13

Step-by-step explanation:

I think the turtle would be 13 and 1/3 because we know that the turtle is half as old as the parrot. So if we divide 10 by 3/4 we can get how old the turtle is now

Answer 2

The system of the equation is :

\(2x=y\\3y-4x=10\)

Thus, the age of the ava's turtle is 5 years.

Given:

Ava's turtle is half as old as her parrot.

The turtle will be 3/4 as old as her parrot in 10 years.

Let us assume the age of the turtle is x years and the age of the parrot is y years.

According to the first statement, the variables can be related as:

\({x}=\dfrac{y}{2}\\2x=y\)

According to the second statement, the variables can be related as:

\(\begin{aligned}x+10&=\dfrac{3}{4}(y+10)\\4(x+10)&=3(y+10)\\4x+40&=3y+30\\4x-3y&=-10\\3y-4x&=10\end{aligned}\)

Thus, the system of the equation is :

\(2x=y\\3y-4x=10\)

By solving the above system of the equation, we get x=5 and y=10.

Thus, the age of the ava's turtle is 5 years.

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Related Questions

triangle A has sides of 1,10, and 20 and Triangle B has sides of 5,50, and 100 . Are triangle A and Triangle B similar triangles

Answers

Answer:

no

Step-by-step explanation: no becuse   triangles A has sides of 1,10, and 20 and Triangle B has sides of 5,50, and 100 . so triangle A and Triangle B are not similar triangles

What are 3 of the 6 essential principles in Jefferson's Inaugural Address?

GIVE ME 3 OF THEM PLEASEEE

Answers

Answer:

He said that the nation had "room enough for our descendants to the thousandth and thousandth generation" and that his administration would pursue "honest friendship with all nations, entangling alliances with none." He affirmed that America's future depended upon "the preservation of the General government

Step-by-step explanation:

what is -2r plus 3 greater than or equal to 19

Answers

Answer:

r ≤-8

Step-by-step explanation:

-2r + 3 ≥19

Subtract 3 from each side

-2r + 3-3 ≥19-3

-2r≥16

Divide each side by -2, remembering to flip the inequality

-2r/-2 ≤16/-2

r ≤-8

Determine whether the following equence i an arithmetic or geometric progreion. Give a reaon for your anwer. 100p,50p,25p,

Answers

Answer:

Geometric.

Step-by-step explanation:

It is Geometric because there is a common ratio between the terms.

50p/100p = 1/2

25p/50p = 1/2

The common ratio is 1/2.

Each term is obtained by multiplying by 1/2, so the next term in this progression is 25p * 1/2 = 12.5p.

helpppppp plss thanks​

helpppppp plss thanks

Answers

Answer:

I can even see anything can you reupload your answer, please?

Step-by-step explanation:

find the value of X 9^3x9/9^6

Answers

Answer:

729

Step-by-step explanation:

x=

9^3=729

729×(9/9^6)

9/9=1

1^6=1

Therfore, 729×1=729

S = 4LW + 2WH; S = 184, L = 9, W = 4.​

Answers

Step-by-step explanation:

S=4LW+2WH

160=4(9)(4)+2(4)H

160 = 144 + 8H

160- 144 = 144 - 144+8H

16 =8H

16/8H = 8H/8

H=2

Which ratios are equivalent? Check all that apply 9:15 and 18:3021:25 and 30:503:5 and 5:105:6 and 20:24

Answers

Answer:

9:15 and 18:30

Explanation:

To determine which ratios are equivalent, we reduce each one to its lowest form and see if they are the same.

\(\begin{gathered} 9\colon15=3\colon5 \\ 18\colon30=3\colon5 \end{gathered}\)

Next:

\(\begin{gathered} 21\colon25=21\colon25 \\ 30\colon50=3\colon5 \end{gathered}\)

Next we have:

\(\begin{gathered} 3\colon5=3\colon5 \\ 5\colon10=1\colon2 \end{gathered}\)

Finally:

\(\begin{gathered} 5\colon6=5\colon6 \\ 20\colon24=5\colon6 \end{gathered}\)

Therefore, the ratios which are equivalent are Options A and D.

Show your work for the math problem

Show your work for the math problem

Answers

Given :

x + 2x - 20 = 85

To find :

The value of x .

Solution :

According to Question ,

x + 2x - 20 = 85 3x - 20 = 85 3x = 85 + 20 3x = 105 x = 105/3 x = 35

a radioactive material decays according to the formula , where a is the final amount, is the initial amount and t is the time in years. find k, if 700 grams of this material decays to 550 grams in 8 years.

Answers

the decay constant for this material is approximately 0.0445.when t = 8 years, the amount of the material remaining is 550 grams.

The formula for radioactive decay is given by:

a = \(e^(-kt)\\\) * A

where a is the final amount,A is the initial amount, t is the time in years, and k is the decay constant.

We can use the given information to solve for k as follows:

When t = 0, a = A. So, we have:

A = \(e^(0 * k)\) * A

Simplifying this gives:

1 = e^0

Therefore, we can see that k = 0 at the start of the decay process.

Now, when t = 8 years, the amount of the material remaining is 550 grams. Therefore, we have:

550 = \(e^(-8k)\) * 700

Dividing both sides by 700 and taking the natural logarithm of both sides, we get:

ln(550/700) = -8k

Simplifying this gives:

k = ln(700/550)/8

Using a calculator, we can evaluate this expression to get:

k ≈ 0.0445

Therefore, the decay constant for this material is approximately 0.0445.

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Write a number sentence and solve: Jana has $45 in her bank account. After she went shopping, she had -$12. How much did she spend shopping?

Answers

Answer:

57 dollar

Step-by-step explanation:

a man travels from Nigeria to Ghana by air and from Ghana to Liberia by ship .he returns by the same means he has 6 airlines and 4 shipping lines to choose from .in how many ways can he make his journey without using the same airline or shipping line​

Answers

There will be 360 different ways without using the same airline or shipping line.

What is a combination?

A combination in mathematics is a selection of items from a set with distinct members, where the order of selection is irrelevant.

Let's first consider the number of ways the man can choose his outbound journey. He has 6 airlines to choose from, and once he has made his choice of airline, he has 4 shipping lines to choose from.

Therefore, there are 6 × 4 = 24 ways he can choose his outbound journey.

For his return journey, he cannot use the same airline or shipping line that he used for his outbound journey.

This means he now has 5 airlines and 3 shipping lines to choose from. Therefore, there are 5 × 3 = 15 ways he can choose his return journey.

The total number of ways he can make his journey is:

24 × 15 = 360

Therefore, he can make his journey in 360 different ways without using the same airline or shipping line.

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Calculate a 95% confidence interval for the mean gas mileage of a 2012 Prius by all drivers who participate on fueleconomy.gov.

Answers

The 95% confidence interval for the mean gas mileage of a 2012 Prius by all drivers who participate on fueleconomy.gov would depend on the sample size and the sample mean and standard deviation of the gas mileage data.

To calculate a 95% confidence interval for the mean gas mileage of a 2012 Prius by all drivers who participate on fueleconomy.gov, we would need to gather a sample of gas mileage data from the website. We would then calculate the sample mean and standard deviation of the gas mileage.
Assuming the sample follows a normal distribution and we have a sample size of at least 30, we can use the t-distribution to calculate the confidence interval. With a 95% confidence level and n degrees of freedom (n-1 = sample size - 1), we can look up the t-value using a t-distribution table or calculator.
Once we have the t-value, we can plug it into the following formula to calculate the confidence interval:
Confidence interval = sample mean ± (t-value * standard error)
The standard error is calculated by dividing the sample standard deviation by the square root of the sample size.

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please help out with these
questions, thank you
An operations manager observes a new production process. Based on production of the first 4 units, the manager estimates that the learning rate is 96%. If unit #4 took 41.47 minutes to complete and th

Answers

Based on the information provided, the learning rate observed by the operations manager for a new production process is 96%.Given that unit #4 took 41.47 minutes to complete, we can estimate the time required to complete unit #5 using the learning curve formula:$$T_n = T_1 \times n^{-b}$$ where Tn is the time required to complete the nth unit, T1 is the time required to complete the first unit, n is the unit number, and b is the learning rate expressed as a decimal. To use this formula, we need to first find T1.

We can do this by using the time taken to complete unit #4. We know that unit #4 took 41.47 minutes to complete. Using the formula above, we can write:

$T_4 = T_1 \times 4^{-b}$$$$41.47

= T_1 \times 4^{-0.96}$$ Solving for T1,

we get:$$T_1 = \frac{41.47}{4^{-0.96}} \approx 13.559$$

Therefore, T1 ≈ 13.559 minutes. Using this value of T1 and the learning rate of 96%, we can find the time required to complete unit #5:$$T_5 = T_1 \times 5^{-0.96}$$$$T_5 = 13.559 \times 5^{-0.96} \approx 10.016$$Therefore, the estimated time required to complete unit #5 is approximately 10.016 minutes.

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let R be a commutative ring. is a is not equal to 0R and f(x)= a0+a1x+a2x2+...+anxn is a zero divisor in R[x], prove that an is a zero divisor in R

Answers

If the polynomial \(f(x) = a0 + a1x + a2x^2 + ... + anx^n\) is a zero divisor in the polynomial ring R[x], and a is not equal to 0R, then the coefficient an is a zero divisor in the commutative ring R.

To prove that if \(f(x) = a0 + a1x + a2x^2 + ... + anx^n\) is a zero divisor in the polynomial ring R[x] where R is a commutative ring and a is not equal to 0R, then an is a zero divisor in R, we can use a proof by contradiction.

Assume that an is not a zero divisor in R. This means that for any element b in R, if anb = 0, then b must be equal to 0.

Now, suppose f(x) is a zero divisor in R[x]. This means that there exists a nonzero polynomial g(x) in R[x] such that f(x) * g(x) = 0.

Expanding the product, we have:

\((a0 + a1x + a2x^2 + ... + anx^n) * g(x) = 0.\)

Looking at the highest degree terms in this expression, we find that the coefficient of x^(n + deg(g(x))) is equal to an * leading coefficient of g(x), which we'll denote as bg.

Since f(x) * g(x) = 0, we have that an * bg = 0.

Since an is not a zero divisor in R, this implies that bg must be equal to 0. However, this contradicts our assumption that g(x) is a nonzero polynomial, as it would imply that bg = 0 for some nonzero b in R.

Therefore, our assumption that an is not a zero divisor in R leads to a contradiction, and thus, an must be a zero divisor in R.

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find the value. 2⅔×2¹/7​

Answers

Answer: 40/7, if you need, the mixed fraction is 5 5/7

Step-by-step explanation:

First of all, convert all the mixed fraction into improper fraction.

2 2/3=8/3

2 1/7=15/7

Then do the multiplication.

8/3 × 15/7=120/21=40/7 (You can directly simplify it to 40/7 since you can use 15 divided by 3 to get 5 left in the numerator)

Hope this helps!! :)

Please let me know if you have any question

Answer:

5.71

Step-by-step explanation:

two two by three × two one by seven

=8/3×15/7

=8×5/7 as 15 and three will divide and 15 will change to 5

=40/7

=5.71

if 200 group rooms are reserved and only 160 are ultimately occupied, the pick-up rate is group of answer choices 60% 70% 80% 90%

Answers

The pick-up rate in this scenario would be 80%. This is calculated by dividing the number of rooms occupied (160) by the number of rooms reserved (200), and then multiplying by 100 to get a percentage. So, (160/200) x 100 = 80%. This means that 80% of the reserved rooms were ultimately occupied.

It's important to note that a pick-up rate of 80% is generally considered to be a good result in the hospitality industry. It indicates that the hotel was able to accurately predict the number of rooms that would be needed by the groups, and that the groups themselves followed through on their reservations. A lower pick-up rate could suggest that the hotel overestimated demand, or that some of the groups cancelled their bookings at the last minute. On the other hand, a higher pick-up rate could indicate that the hotel was too conservative in its initial estimates, or that some of the groups requested additional rooms after the initial reservation was made. Ultimately, the pick-up rate is a useful metric for assessing the accuracy of a hotel's forecasting and planning processes.

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Meena takes 5 min 4 sec to solve 1 question how much time she took is she had solved 5 questions

Answers

25 minutes and 20 seconds

Simplify the expression.
64 7/12



Answers

Answer:

56.2

Step-by-step explanation:

If that is 674/12 then that's your answer

Answer:

64.5833333333333333333 = 775/12

Step-by-step explanation:

7/12 = 5.83333333333333333.

Which ratio is equivalent to 1 to 8?
7 to 14
7 to 9
6 to 41
6 to 48

Answers

6 to 48 simplified

it becomes 1 to 8

so the answer is 6 to 48

plz mark as brainliest

I think the answer is 7 to 14

saving esenthily, thouda tre pey by moeth of make the ohe-1re payment? What n the sucied monndy discoum iale for me tert?

Answers

When it comes to saving effectively, it is advisable to make regular payments rather than relying solely on a lump sum. By making consistent contributions over time, you can benefit from compounding interest and develop a disciplined saving habit. Additionally, seeking professional advice from financial advisors can help you understand the best strategies to maximize your savings.

To save effectively, it is generally recommended to make regular payments instead of relying on a single lump sum contribution. By consistently saving money over time, you can take advantage of the concept of compounding interest, where your initial savings generate earnings that are reinvested and generate further returns. This compounding effect can significantly increase your savings over the long term. Additionally, by making regular payments, you develop a disciplined saving habit, which can be beneficial in achieving your financial goals.

In order to optimize your savings strategy, it is advisable to consult with financial advisors or professionals who specialize in personal finance. They can provide guidance tailored to your specific financial situation, helping you understand the various investment options available and determining the most suitable approach for your savings goals. Financial advisors can also assist in assessing your risk tolerance, diversifying your portfolio, and creating a comprehensive savings plan that aligns with your objectives and time horizon. Seeking professional advice can provide valuable insights and increase the likelihood of successful long-term savings.

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The event of you going to work is a and the event of you taking leave is b. if these events are mutually exclusive events, using p(a)=0.55, and p(b)=0.10, what is p(a|b)?

Answers

The events are mutually exclusive events, so P(A|B) is 0.

In this question,

If two events are mutually exclusive, there is no chance that both events will occur. Being the intersection an operation whose result is made up of the non-repeated and common events of two or more sets, that is, given two events A and B, their intersection is made up of the elementary events that they have in common, then

⇒ A ∩ B = 0

Now the conditional probability, P(A|B) = \(\frac{P(A \cap B )}{P(B)}\)

⇒ \(\frac{0}{0.10}\)

⇒ 0.

Hence we can conclude that the events are mutually exclusive events, so P(A|B) is 0.

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How do I get the volume of a cuboid of length 6.2cm, width 3.4cm, and height 5cm?

Answers

Considering the provided information and that the volume of a cuboid is the result of multiplying the width by the length by the height, we obtain the following:

Volume of a cuboid= Width * Length * Height

Volume of a cuboid= 3.4cm * 6.2cm * 5cm

Volume of a cuboid= 105.4 cm³

Finally we obtain that the volume of the cuboid is 105.4 cm³

Any and all help would be appreciated!

Any and all help would be appreciated!

Answers

The way we can find out the unit rate (also known as the SLOPE) is by using the table as coordinates!

The slope formula is \(\frac{y2 - y1}{x2 -x1}\)

With the table, the TIME column can be "x"

The DISTANCE column can be "y"

____________________________

As coordinates, it would look like...

(0,0)

(20, 25)

(30, 37.5) and so on!

_____________________________

All we need to do now is use 2 of these coordinates and plug them into the slope formula in their correct places to find the unit rate!

Example:

solve!

\(\frac{37.5 - 25}{30 - 20}\) = 12.5/10 ⇒ 1.25 ( or 5/4 in fraction form)

a folder and a paper clip cost $1.10 in total. the folder costs $1.00 more than the clip. how much does the paper clip cost?

Answers

The paper clip costs $0.05 and the folder Costs $1.00 more, which is $1.05. Together, they add up to the total of $1.10.

Let's solve this problem step by step:

Let's assume the cost of the paper clip is x dollars.

According to the information given, the folder costs $1.00 more than the paper clip, so the cost of the folder would be (x + $1.00).

The total cost of the folder and the paper clip is $1.10, so we can write the equation:

x + (x + $1.00) = $1.10

Combining like terms, we have:

2x + $1.00 = $1.10

Subtracting $1.00 from both sides of the equation, we get:

2x = $0.10

Dividing both sides by 2, we find the value of x:

x = $0.10 / 2

x = $0.05

Therefore, the paper clip costs $0.05.

In summary, the paper clip costs $0.05 and the folder costs $1.00 more, which is $1.05. Together, they add up to the total of $1.10.

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Solve the system of equations.
x = 3y+1
2x+4y=12
A. (10, 3)
B. (1, 4)
C. (4, 1)
D. (3, 10)

Answers

Step-by-step explanation:

C. (4,1)

When x=4 and y=1, the equations become,

4 = 3*1 +1

4=4

2*4+4*1 = 8+4 = 12

Answer:

option C

Step-by-step explanation:

x = 3y + 1      equation(i)

2x + 4y =12    equation(ii)

First working for equation (ii)

substituting the value of x in equation (ii)

2(3y + 1) + 4y = 12

6y + 2 + 4y = 12

10y = 12 - 2

y = 10/10

y =1

now substitute the value of y in equation (i)

x = 3*1 = 1

x=3 + 1

x = 4

therefore , answer is (4,1)

The length of a rectangular kitchen floor is 8 feet longer than w, its width. Which expression represents the area of the floor?

(2w+16) square feet
(4w+16) square feet
(W^2+8) square feet
(W^2+8w) square feet

Answers

Answer:

see below

Step-by-step explanation:

We can write the length as w + 8 and since area is length * width our answer is w * (w + 8) = w² + 8w.

A scenario in which the optimal objective function contour line coincides with one of the binding constraint lines on the boundary of the feasible region leads to _____ solutions.a. unique optimalb. bindingc. alternative optimald. infeasible

Answers

A scenario in which the optimal objective function contour line coincides with one of the binding constraint lines on the boundary of the feasible region leads to binding solutions.

What is the definition of an optimal objective function?

An objective function is optimal when it achieves the highest or lowest value, depending on whether it is a maximum or minimum problem. The objective function is a statement that summarizes the mathematical relationship between the inputs and outputs of the problem. An optimal objective function contour line is the set of all points that have the same objective function value, and it is sometimes referred to as the iso-profit curve.

The binding constraints are the ones that restrict the solution to the problem, and they lie on the boundary of the feasible region. A binding constraint forces the optimal solution to occur at the intersection of the constraint and another boundary of the feasible region.

Therefore, when the optimal objective function contour line coincides with one of the binding constraint lines on the boundary of the feasible region, the optimal solution is binding. Thus, the correct answer is b. binding.

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Choose the equation that satisfies the data in the table.
-1 0 1
0
3
6
X
Y
OA. y = 3x +3
B.y = -x +9
Oc.y=x+9
OD. y=-3x +3

Choose the equation that satisfies the data in the table.-1 0 1036XYOA. y = 3x +3B.y = -x +9Oc.y=x+9OD.

Answers

Answer: A: y= 3x + 3

Step-by-step explanation:

The y intercept has to be 3 which is found when x = 0 that eliminates B and C. Then just plug in -1 or 1 into A or D and you will find that plugging in either with get you the y value provided on A.

which one is the missing symbol.
4/5 ? 1/2

A. >
B. <
C. =

Answers

ANSWER: 1/2 < 4/5

SOLVING STEPS: rearrange from smallest to largest

The correct symbol in between numbers is,

⇒ 4/5 > 1/2

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The numbers are,

⇒ 4/5 and 1/2

Now, We can make denominator equal as;

LCM of 5, 2 = 10

Hence, We get;

⇒ 4/5

⇒ 8/10

⇒ 1/2

⇒ 5/10

Thus, We get;

⇒ 4/5 > 1/2

Therefore, The correct symbol in between numbers is,

⇒ 4/5 > 1/2

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