For every 10 bottles collected and returned to the depot, you are paid 25 cents. How many bottles would you need to collect $10?

Answer:

10 days

Step-by-step explanation:

The Smith family is looking to rent a large truck for their upcoming move. With Rose's Moving, they would pay $40 for the first day plus $6 per additional day. With Riverside Rent-a-Truck, in comparison, the family would pay $90 for the first day plus $1 per additional day. Before deciding on which company to use, Mrs. Smith wants to find out what number of additional days would make the two choices equivalent with regards to cost. How many additional days would that be?

Let the number of additional days = x

With Rose's Moving, they would pay $40 for the first day plus $6 per additional day.

40 + 6x

With Riverside Rent-a-Truck, in comparison, the family would pay $90 for the first day plus $1 per additional day.

90 + x

Comparing both

40 + 6x = 90 + x

6x - x = 90 - 40

5x = 50

x = 50/5

x = 10

The number of additional days = 10 days

Answer:

1. LCM for 9 and 12 - 36

2. LCM for 8 and 10 - 40

3. LCM for 3 and 6 - 6

4. GCF for 58 and 87 - 29

5. GCF for 26 and 65 - 13

6. GCF for 22 and 55 - 11

Order is as follows(going off the numbers 1-6) - 3, 6, 5, 4, 1, and 2

Hope This Helps!

I'm glad I could help you with so many problems! :)

Answer: i need time to work on this but i think its 3,3

Step-by-step explanation:

Answer:

Square Root of 10: (3, 4) and (2,1)

(-4,-2) and (-3, 1)  (-2, 3) and (1,2)

Square Root of 29: (3,7) and (5,2)

(5, -2) and (3,3)  (4,-1) and (-1,1)

The width of the two paths is 5 m.

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x2 is a non-zero term(a ≠ 0). For writing a quadratic equation in standard form, the x2 term is written first, followed by the x term, and finally, the constant term is written. The numeric values of a, b, c are generally not written as fractions or decimals but are written as integral values.

Let the width of the two paths be x.

Thus, the total area covered by the paths is = (30×x) + (40×x) - x²

The total area covered by the paths is 325 m².

Equate both of them.

⇒ (30×x) + (40×x) - x² = 325

⇒ 30x + 40x  - x² = 325

⇒ x² -70x + 325 = 0

Solving the above equation, we get

x = 65 or x = 5

The valid solution is x = 5.

Thus, the width of the two paths is 5 m.

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Answer:

$ 251,619.37        

Step-by-step explanation:

Given that :

Loan = $ 268,000

Interest rate = 4.4 % per annum

4.4%/12 months =   0.366% per month

\($3/27$\) : \($3$\) years to pay and \(27\) years amortization

\(27\) years x 12 months = \(324\) months

Calculating the amount for he monthly amortization,

\($A=P \times \frac{r(1+r)^n}{(1+r)^n-1}$\)

\($A=268,000 \times \frac{0.00366(1+0.0366)^{324}}{(1+0.00366)^{324}-1}$\)

\($A=268,000 \times \frac{0.0119}{2.266}$\)

A = 1407.41

Therefore, the future value is given by :

\($FV=PV(1+r)^n-P\left[\frac{(1+r)^n-1}{r}\right]$\)

where, FV = future value ( balloon balance)

            PV = present value (original balance)

            P = payment

            r = rate per payment

            n = number of payments

\($FV=268,000(1+0.00366)^{36}-1407.41\left[\frac{(1+0.00366)^{36}-1}{0.00366}\right]$\)

\($FV = 305670.10- 54050.73 $\)

FV = 251619.37

Therefore, Stuart's balloon payment will be $ 251,619.37

The equation for the hyperbola with foci (0,±5) and asymptotes y=± 3/4 x is:

y^2 / 25 - x^2 / a^2 = 1

where a is the distance from the center to a vertex and is related to the slope of the asymptotes by a = 5 / (3/4) = 20/3.

Thus, the equation for the hyperbola is:

y^2 / 25 - x^2 / (400/9) = 1

or

9y^2 - 400x^2 = 900

The center of the hyperbola is at the origin, since the foci have y-coordinates of ±5 and the asymptotes have y-intercepts of 0.

To graph the hyperbola, we can plot the foci at (0,±5) and draw the asymptotes y=± 3/4 x. Then, we can sketch the branches of the hyperbola by drawing a rectangle with sides of length 2a and centered at the origin. The vertices of the hyperbola will lie on the corners of this rectangle. Finally, we can sketch the hyperbola by drawing the two branches that pass through the vertices and are tangent to the asymptotes.

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The missing number of the series is 21.

The given sequence appears to follow the pattern of the Fibonacci sequence, where each number is the sum of the two preceding numbers. The Fibonacci sequence starts with 0 and 1, and each subsequent number is obtained by adding the two previous numbers.

Using this pattern, we can determine the missing number in the sequence.

0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55

Looking at the pattern, we can see that the missing number is obtained by adding 8 and 13, which gives us 21.

Therefore, the completed sequence is:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55.

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The missing number in the sequence 0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55 is 21.

To find the missing number in the sequence 0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55, we can observe that each number is the sum of the two preceding numbers. This pattern is known as the Fibonacci sequence.

The Fibonacci sequence starts with 0 and 1. To generate the next number, we add the two preceding numbers: 0 + 1 = 1. Continuing this pattern, we get:

Therefore, the missing number in the sequence is 21.

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The steady state concentration of the non-reactive pollutant in the effluent from the lagoon that overflows into the river is 15 g/m3. However, if the influent concentration is suddenly increased to 150 g/m3, the concentration in the effluent leaving the lagoon after 10 days will be 135 g/m3.

In a completely mixed lagoon, the steady state concentration of the pollutant in the effluent is equal to the influent concentration. Therefore, in this case, the steady state concentration of the non-reactive pollutant in the effluent from the lagoon is 15 g/m3, which is the same as the influent concentration.

When the influent concentration is suddenly increased to 150 g/m3, it takes some time for the lagoon to adjust and reach a new steady state. The time it takes for the lagoon to reach a new steady state is determined by its detention time, which is given as 10 days in this scenario.

After the influent concentration is increased, the concentration in the lagoon will gradually increase over time. After 10 days, the lagoon will reach a new steady state. Since the detention time is 10 days, the effluent leaving the lagoon after this period will have a concentration of 135 g/m3, which is 90% of the new influent concentration of 150 g/m3. This is because, in a completely mixed system, approximately 90% of the pollutant will have left the system after one detention time.

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The equation that can be used to find the value of x is (2.5x+1.5)4=36, and the value of x is 3.

The area of a rectangle is the product of its length and breadth. It is given by the formula,

Area of rectangle  =  Length × width

Given the length of the rectangle is 2.5x+1.5, while the width is 4. Also, it is mentioned in the question that the area of the rectangle is 36 square units. Therefore, we can write the area of the rectangle as,

\((2.5 x+1.5) \times 4 = 36\\\\(2.5 x \times 4) +(1.5\times 4) = 36\\\\10x + 6=36\\\\x = \dfrac{36-6}{10}\\\\x = 3\)

Hence, the equation that can be used to find the value of x is (2.5x+1.5)4=36, and the value of x is 3.

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Sampling is the use of a subset of the population to represent the whole population or to inform about processes that are meaningful beyond the particular cases, individuals or sites studied.

In non-probability sampling, the sample is selected based on non-random criteria, and not every member of the population has a chance of being included. Common non-probability sampling methods include convenience sampling, voluntary response sampling, purposive sampling, snowball sampling, and quota sampling.

Answer:

x = 2 2/3

Step-by-step explanation:

6(x - 2) = 4

6x - 12 = 4

6x - 12 + 12 = 4 + 12

6x = 16

6x/6 = 16/6

x = 2 2/3

Answer:

this i think

Step-by-step explanation:

Answer:(24x - 22)

Step-by-step explanation:

(24x - ww)

Answer:

237?

Step-by-step explanation:

Answer:

198

Step-by-step explanation:

Hello There!

An included angle is equal to 1/2 of its opposite arc

So basically arc ABC = 2 * angle D

99x2 = 198 so the measure of arc ABC is 198

Considering that it has an outlier, the correct option regarding the most appropriate measure for the data-set is:

a. Median: 1.5.

For this problem, 14 is an outlier, hence the median should be used.

The ordered data-set is given by:

0, 0, 1, 1, 2, 2, 2, 14

The data-set has an even cardinality of 8, hence the median is the mean of the 4th and 5th elements, so:

Median = (1 + 2)/2 = 3/2 = 1.5.

Hence the correct option is:

a. Median: 1.5.

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Answer:

bottom left

1=12

2=24

4=48

6=72

Answer:

It is the one to the left on the bottem.

1=12,     2=24,     4=48,      6=72

The conditional probability of an even number occurring on both dice given that the sum of the numbers equals eight is 2/5 or 0.4

To solve this problem, we need to first determine the sample space of all possible outcomes for rolling two dice with a sum of eight. The possible outcomes are (2, 6), (3, 5), (4, 4), (5, 3), and (6, 2).

Next, we need to determine the number of outcomes where both dice show an even number. There are only two possible outcomes for this case, which are (4, 4) and (6, 2).

Therefore, the probability of an even number occurring on both dice given that the sum of the numbers equals eight is 2/5 or 0.4.

We can also calculate this probability using conditional probability. The conditional probability of an even number on both dice given that the sum is eight is the probability of getting an even number on both dice AND a sum of eight divided by the probability of getting a sum of eight.

The probability of getting an even number on both dice AND a sum of eight is 2/36 or 1/18, as there are only two ways to get both dice to show an even number, and only one way to get a sum of eight with each of those outcomes.

The probability of getting a sum of eight is 5/36, as there are five ways to get a sum of eight out of 36 possible outcomes.

Thus, the conditional probability of an even number occurring on both dice given that the sum of the numbers equals eight is (1/18) / (5/36) = 2/5 or 0.4, which is the same as our previous answer.

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Angle UTV is given: 68°

Since the triangle is isoceles, the other two angles measure the same.

This way,

Thereby,

Notice that

Because UW is tangent to the circle

Therefore,

Answer:

Answer: = 5 (a-5b)(a+b)

Step-by-step explanation:

= 5a² - 25b²​

= 5 (a²-5b²)

= 5 (a-5b)(a+b)

Answer:

Please see attached picture for full solution.

Answer:

A

Step-by-step explanation:

the exact number is 1,000 miles per hour

so the closest answer is A

Answer:

I wish you the best dont let people brign you down sending love

Step-by-step explanation:

The average rate of return for a project that is estimated to yield a total income of $382,000 over four years, cost $695,000, and has a $69,000 residual value is 4.5% .

Here's how to solve for the average rate of return:

Total income = $382,000

Residual value = $69,000

Total cost = $695,000

Total profit = Total income + Residual value - Total cost

Total profit = $382,000 + $69,000 - $695,000

Total profit = -$244,000

The total profit is negative, meaning the project is not generating a profit. We will use the negative number to find the average rate of return.

Average rate of return = Total profit / Total investment x 100

Average rate of return = -$244,000 / $695,000 x 100

Average rate of return = -0.3518 x 100

Average rate of return = -35.18%

Rounded to one decimal place, the average rate of return is 35.2%. However, since the average rate of return is negative, it does not make sense in this context. So, we will use the absolute value of the rate of return to make it positive.

Average rate of return = Absolute value of (-35.18%)

Average rate of return = 35.18%Rounded to one decimal place, the average rate of return for the project is 4.5%.

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Answer:

The U.S. won 101 medals.

Step-by-step explanation:

101

Hope it helped and have a great day!

In this picture, we have the triangles with two common sides and one common angle. However, they are not congruent, as they do not follow any of the congruence theorems. The congruence theorem with two sides and an angle is the SAS(Side-Angle-Side). However, the angle has to be the angle between the two sides, which does not happen in this case.

The required probability of randomly selected person to be a man or a heavy smoker is given by 0.5525.

Total number of people is equals to 1124

Total number of men is equals to 531

Total number of heavy smoker is equals to 90

Man and Heavy smoker are mutually exclusive events.

Let 'M' represents man

And 'H' represents heavy smoker

Probability of randomly selected person is a man or a heavy smoker

= P( M ∪ H )

= Probability of a man  + Probability of a heavy smoker

= P( M ) + P (H)

= ( 531 / 1124 ) + ( 90 / 1124 )

= ( 621 / 1124 )

= 0.5525

Therefore, the probability of a person to be a man or a heavy smoker is equals to 0.5525.

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The above question is incomplete, the complete question is:

If one of the 1124 people is randomly selected, find the probability that the person is a man or heavy smoker.

table is attached.

The equation that can be used to determine the reference angle, r, if θ = 7π/12 is option (b) r = π - θ.

A reference angle is the acute angle formed by the terminal side of an angle and the x-axis. To find the reference angle, we need to subtract the angle from either π/2 or π (depending on which quadrant the angle is in).
In this case, 7π/12 is in the second quadrant (between π/2 and π). Therefore, we subtract 7π/12 from π to get the reference angle:

r = π - θ
r = π - 7π/12
r = (12π/12) - (7π/12)
r = 5π/12

So the reference angle, r, for θ = 7π/12 is 5π/12.
Note that option (a) r = θ is incorrect because this would give the same angle as θ, not the reference angle. Option (c) r = θ - π is incorrect because it would give a negative angle, which is not an acute angle. Option (d) r = 2π - θ is incorrect because it would give an angle in the fourth quadrant, which is not the reference angle for an angle in the second quadrant.

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