6. Allison wants to start saving for college. She got $250 in birthday money
and plans to save $50 a week from babysitting. Which equation could be
used to determine how many weeks it will take for her to save $1000? *

Rectangle ABCD is not similar to rectangle PQRS because their corresponding sides are not proportional, so rectangle ABCD cannot be dilated to fit exactly over rectangle PQRS.

Similar polygons are polygons that share these two features presented as follows:

The ratio between the equivalent side lengths is given as follows:

Due to the different ratios, they are not proportional, and hence the rectangles are not similar.

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Rational numbers can be expressed as the quotient of two integers

The range is give as: -4.25 and -4.26

-4.255 is a rational number, because it can be expressed a quotient of two integers.

Also, it is between -4.25 and -4.26

Hence, a rational number between -4.25 and -4.26 is -4.255

The range is give as: 5.25 and 5.26

5.25111.... is an irrational number, because it is a non-terminating decimal

Also, it is between 5.25 and 5.26

Hence, an irrational number between 5.25 and 5.26. is 5.25111....

9 is equal to 0, and 0.35 is less than 4

Hence, the true sentences are 9 = 9 and - 0.35 < 4​

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Answer:

280 drinks

Step-by-step explanation:

Answer:

280 drinks. We need to divide 1 2/5 by 1/200 in order to get this answer.

The number of different arrangements that are there is 72.

If there are 5 people standing with 2 people staying adjacent to each other, hence we can take the 2 people as 1 to have a total of 4.

Hence the number of ways they can be arranged if two people are together is 4! * 2

Hence the number of different arrangements that are there is 72.

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Answer:

40 pill bottles

Step-by-step explanation:

pill bottle : ounce of vitamin

1 : 0.033

x : 1.32

\(\frac{1.32}{0.033} *1\) = 40

Jim needs to deposit approximately $16.207 each month to accumulate $1000 at the end of one year with a 6% interest rate, compounded monthly.

To determine how much Jim needs to deposit each month to accumulate $1000 at the end of one year with a 6% interest rate, compounded monthly, we can use the formula for the future value of a series of equal payments, also known as an annuity.

The formula for the future value of an annuity is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV = Future Value (desired amount at the end of one year)

P = Payment per period (monthly deposit)

r = Interest rate per period (monthly interest rate)

n = Number of periods (12 months in this case)

In this case, the desired future value (FV) is $1000, and the interest rate (r) is 6% per year, compounded monthly. We need to convert the annual interest rate to a monthly rate by dividing it by 12 and expressing it as a decimal:

r = 6% / 12 / 100 = 0.005

Substituting the given values into the future value formula, we can solve for the monthly payment (P):

$1000 = P * [(1 + 0.005)^12 - 1] / 0.005

Simplifying further:

$1000 = P * [1.005^12 - 1] / 0.005

Now, let's evaluate the expression inside the brackets:

$1000 = P * [1.061678 - 1] / 0.005

$1000 = P * [0.061678] / 0.005

Dividing both sides by 0.061678:

$1000 / 0.061678 = P / 0.005

P ≈ $16.207

Therefore, Jim needs to deposit approximately $16.207 each month to accumulate $1000 at the end of one year with a 6% interest rate, compounded monthly.

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0.06 es la repuesta

Step-by-step explanation:

Aqui esta como lo podias aser:

1. 3x + 30=80

-30. -30

3x=50

÷3. ÷3

Necesitas que divinir 50 en 3

3(0.06) + 30=80 x=0.06

Answer:

0.55=c

Step-by-step explanation:

0.55(2)=c

1.10=c

The total cost is $1.10

The total impact on GDP from these transactions is $25,000, as it represents the value of the final goods produced and sold to To in the economy. is option D. $25,000

The impact of these transactions on gross domestic product (GDP) is $25,000.

Gross domestic product (GDP) is a measure of the total value of goods and services produced within a country's borders over a specific time period. It includes the value of final goods and services at market prices.

In this scenario, Farmer John sells half of his inventory to people for $20,000 and the other half to Tropicali for $15,000. The $20,000 and $15,000 are both considered as final goods since they are sold directly to the end-users, either consumers or Tropicali, without further processing or resale.

When Tropicali uses the oranges to make roadside stand orange juice and sells it to consumers for $25,000, this transaction also contributes to GDP. The $25,000 represents the value of the final good, which is the orange juice produced by Tropicali and sold to consumers.

Therefore, the total impact on GDP from these transactions is $25,000, as it represents the value of the final goods produced and sold to To in the economy.

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Answer:

Step-by-step explanation:

All the angles in a triangle add up to 180°

So you need to add up all your angles and set them equal to 180°

angleM + angleN + angleO=180

(6x+1) + (3x-10) + (x+19)= 180

We don't actually need all these parentheses; this is all just addition and subtraction.

6x+1+3x-10+x+19 =180

Add all the x terms together. Add all the constants (plain numbers) together.

10x + 10 =180

Subtract 10 from both sides

10x =170

Divide by 10.

x = 17

But you need one more step because if you reread the question, you are being asked for the measure of angle N, which is 3x - 10

3*17 - 10 =

51 - 10 =

41

The measure of angle N is 41°

To calculate the probabilities in this scenario, we need to consider the possible combinations of children's genders. The probability of having at least two boys is determined by calculating the probability of having two boys, three boys, or four boys. The probability of all children being of the same sex can be calculated by considering the probabilities of having all boys or all girls.

(a) To find the probability of having at least two boys, we need to consider the combinations of children's genders that satisfy this condition. There are four possibilities: BBGG, BGBG, GBGB, and GGBB. Each of these combinations has a probability of (1/2) * (1/2) * (1/2) * (1/2) = 1/16. Therefore, the total probability of having at least two boys is 4 * (1/16) = 1/4.

(b) To find the probability of all the children being of the same sex, we need to consider the combinations of all boys or all girls. There are two possibilities: BBBB and GGGG. Each of these combinations has a probability of (1/2) * (1/2) * (1/2) * (1/2) = 1/16. Therefore, the total probability of all children being of the same sex is 2 * (1/16) = 1/8.

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Answer:

B

Step-by-step explanation:

We will investigate how to your direct proportions to evaluate the number of pages Henry can write given a set of time frame.

There is a relationship established between the number of pages that Henry writes in a certain amount off time. We will go ahead and define the variables:

We see that there is a direct relationship between the two variables ( x and y ). We can express a direct relation with the following equation:

Where,

To determine the constant of proportionality ( k ) we need a set of data. I.e the number of pages written in an amount of time. We are given that Henry can write 5 pages of his novel in 3 hours. So:

We will use the direct proportion relation expressed above and evaluate the constant of proportionality ( k ) as follows:

Therefore, the direct relationship between the two variables becomes:

Now we can use the above relation to determine either off the two variables given the other one. We are asked to find the number of pages that Henry can write if he takes 8 hours. Hence,

Using the defined relationship we can calculate as follows:

Therefore, the answer is:

Answer: 57.8

Step-by-step explanation:48.7 seconds + 49.3 seconds.= 57.8

the formula is y=mx+b

mx is the slope and b is the y-intercept

y=-2/7+5

---

hope it helps

Answer:

true

Step-by-step explanation:

they are the same thing just one is smaller

Using the simplex method, the maximum value of Z=5A+4B is found to be 19.2 when A=3.6 and B=1.2. The calculations can be confirmed by using any software that solves linear programming problems.

To solve the given linear programming problem using the simplex method, we start by converting the problem into standard form. We introduce slack variables to convert the inequalities into equations.The initial tableau is as follows:

      | A | B | S1 | S2 | S3 | S4 |   RHS

------------------------------------------

 Z    | -5 | -4 | 0  | 0  | 0  | 0  |    0

------------------------------------------

 S1   |  6 |  4 | 1  | 0  | 0  | 0  |   24

 S2   |  1 |  2 | 0  | 1  | 0  | 0  |    6

 S3   | -1 |  1 | 0  | 0  | 1  | 0  |    1

 S4   |  0 |  1 | 0  | 0  | 0  | 1  |    2

We perform the simplex iterations until the optimal solution is reached. After applying the simplex method, the final tableau is obtained as follows:

      |  A  |  B  |  S1  |  S2  |  S3  |  S4  |   RHS

------------------------------------------------------

 Z    |  0  | 1.8 | 0.2  | -1   | -0.4 |  0.4 | 19.2

------------------------------------------------------

 S1   |  0  |  0  |  0   | 1.5  | -1   |  1   |  3

 S2   |  1  |  0  | -0.5 |  0.5 |  0.5 | -0.5 | 1.5

 A    |  1  |  0  | 0.5  | -0.5 | -0.5 |  0.5 |  0.5

 S4   |  0  |  0  |  1   | -1   | -1   |  1   |  1

From the final tableau, we can see that the maximum value of Z is 19.2 when A=3.6 and B=1.2. This solution satisfies all the constraints of the problem. The calculations can be verified using any software that solves linear programming problems, which should yield the same optimal solution.

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The company needs to sell 6,375 listening devices to earn a profit of $103,750 after covering its expenses.

Two or more expressions with an Equal sign is called as Equation.

Let's denote the number of listening devices the company needs to sell as "x".

From the problem, we know that the profit per listening device is $50 and the total expenses are $215,000.

So the total profit for selling "x" listening devices is:

Total profit = Profit per device × Number of devices sold - Expenses

Total profit = $50x - $215,000

We are given that the company wants to earn a profit of $103,750. So we can set up an equation and solve for "x":

$103,750 = $50x - $215,000

$318,750 = $50x

x = $318,750 / $50

x = 6,375

Therefore, the company needs to sell 6,375 listening devices to earn a profit of $103,750 after covering its expenses.

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Step-by-step explanation:

5.3 > x + 2/5

26.5 > 5x + 2

24.5 > 5x

4.9 > x

or

x < 4.9 = 4 9/10

so, c is the correct answer.

Answer:

C)

Step-by-step explanation:

Cost of purchasing and repairing = 6450

Cost of additional repairs = 2850

Total = 6450 + 2850 = 9300

If he sells the car without carrying out the additional repairs, he will make a loss of:  6450 - 5800 = $650

If he completes the additional repairs and sells for $8,900, he will make a loss of: 9300 - 8900 = $400

He will make a loss either way , therefore option C)

Answer:

C. A short term goal.

Step-by-step explanation:

This is explained to be a goal or target meant and positioned to be hit within short period of time. It is described to be a stepping stone towards a long term goal. Experts has also said that is a bridge that connects the long-term endeavours. This why on a goal standard of living, a car purchase is seen to be a short-term goal. When there are no specific guidelines, the road to your bigger goals becomes murky, this is seen because your compass is wrongly set.

The sequence of events when a NullPointerException is thrown in m3() is as follows:

1. The main() method is called and begins execution.
2. The m1() method is called from main().
3. The m2() method is called from m1().
4. The m3() method is called from m2().
5. A NullPointerException is thrown in m3().
6. The exception is caught in the catch block of m2().
7. The catch block in m2() executes and prints the exception message.
8. The m2() method finishes execution and returns to m1().
9. The m1() method finishes execution and returns to main().
10. The main() method finishes execution and the program terminates.

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The angle that a side of 15 inches makes with the 6-inch side is approximately 78.46 degrees.

c²= a² + b² - 2ab cos(C)

In this case, we know that the lengths of the two congruent sides are both 15 inches, and the length of the remaining side is 6 inches. So we have:

15² = 6² + 15² - 2(6)(15)cos(x)

225 = 261 - 180cos(x)

180cos(x) = 36

cos(x) =\(\frac{36}{180}\)

cos(x) = 0.2

Now we can use the inverse cosine function (\(cos^{-1}\)) to find the value of "x" in degrees:

x = \(cos^{-1}\)(0.2)

x ≈ 78.46 degrees

An angle is a geometric figure formed by two rays with a common endpoint, called the vertex. The rays are known as the sides of the angle. The measure of an angle is usually expressed in degrees, and it represents the amount of rotation needed to rotate one of the sides of the angle onto the other. A full rotation around a point is 360 degrees, so an angle measuring 180 degrees is called a straight angle.

Angles can be classified according to their measure. An acute angle is an angle measuring less than 90 degrees. A right angle is an angle measuring exactly 90 degrees. An obtuse angle measures more than 90 degrees but less than 180 degrees. A reflex angle measures more than 180 degrees but less than 360 degrees.

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The expressions that describe the mass are Mass = 3599 grams, Mass = 126.95 ounces and Mass = 3.599 kilograms

The mass of the penguin is given as

Mass = 3.599 kilograms

Convert the mass from kilograms to grams.

So, we have:

Mass = 3.599 * 1000 grams

Evaluate the product

Mass = 3599 grams

Next, convert the mass from grams to ounce

So, we have:

Mass = 3599/28.35 ounce

Evaluate the quotient

Mass = 126.95 ounces

Hence, the expressions that describe the mass are Mass = 3599 grams, Mass = 126.95 ounces and Mass = 3.599 kilograms

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Explanation:

Going from figure (1) to figure (2) has us rotate 90 degrees counterclockwise. Note the smallest side of the green figure how it is horizontal, and it corresponds to the smallest side of the blue figure and it is vertical. The center of rotation is the top right corner of the green figure.

Then we apply a translation to go from figure (2) to figure (3). This is another way of saying we shifted the figure some distance left/right and up/down. In this case, we shifted 1 unit to the right and 4 units down.

Answer:

(a) 2.0%

(b) Between 62.0% and 66.0%

Step-by-step explanation:

The explanation is attached below.

The HCF of 10125 and 7425 is 675, obtained by prime factorization and identifying the common factors.

To find the highest common factor (HCF) of 10125 and 7425, we can use the method of prime factorization.

Step 1: Prime factorize both numbers.

10125 = 3 × 3 × 3 × 5 × 5 × 5 × 3

7425 = 3 × 3 × 3 × 5 × 5 × 11

Step 2: Identify the common prime factors.

The common prime factors between 10125 and 7425 are 3 and 5.

Step 3: Find the minimum exponent for each common prime factor.

The minimum exponent for 3 is 3 (from 10125) and 3 (from 7425).

The minimum exponent for 5 is 3 (from 10125) and 2 (from 7425).

Step 4: Multiply the common prime factors raised to their minimum exponents.

HCF(10125, 7425) = 3^3 × 5^2 = 27 × 25 = 675.

Therefore, the highest common factor of 10125 and 7425 is 675.

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The data on the map most directly relates to externalities  is land use .

The Interstate Highway System, often referred to as the Eisenhower National System of Interstate and Defense Highways, is a system of controlled-access roads that is a component of the American National Highway System.

With 3,021 miles of east-west transcontinental motorway, Interstate 90 (I-90) is the nation's longest interstate highway (4,862 km). It starts in Seattle, Washington, moves through the Great Plains, the Midwest, the Northeast, and the Pacific Northwest, before coming to an end in Boston, Massachusetts.

The lengths of Interstates 5, 10, 15, 20, 25, 35, 40, 70, 75, 80, 90, 94, and 95 are all greater than one thousand miles.

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Answer:

Land use.

Step-by-step explanation:

Check the picture below: