Approximately ___% of a district’s students that are eligible for free and reduced meals are homeless at any given time.

Answer:

by Translation.

Using the photo it is (5/-8)

Using the graph, the solution of 1/4 (25x + 3/5) = -2.5 - 3/8x is the point of intersection which is

The variable mappings that satisfy each component equation, or the points where all of these equations intersect, are the solutions of systems of equations.

Finding all of these intersections or common solutions is what it means to solve a system.

Examining the attached graph the point of intersection is  (-0.4,-2.35) and this is hence the solution.

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Answer:

Angle 5 (corresponding angle)

Answer:

B.

Step-by-step explanation:

Answer:

7 in

Step-by-step explanation:

Answer:

a = 7 in

Step-by-step explanation:

\(Area = \frac{a+b}{2} \times h\\\\26.25 = \frac{a + 10.5}{2} \times 3\\\\26.25 \times 2 = (a+ 10.5) \times 3\\\\52.5 = (A + 10.5) \times 3\\\\\frac{52.5}{3} = a + 10.5\\\\17.5 = a + 10.5\\\\a = 17.5 - 10.5 = 7\)

Answer:

Vertical.

Step-by-step explanation:

Slope judges the vertical angle in which the line is moving, from point to point. If the line is vertical in it of itself, there will be no specific point in which you can use to define the slope. The denominator of run is always 0, and having a 0 for denominator will result in the fraction being undefined. You cannot have parts of nothing, mathematically.

Vertical. Please consult the explanation for more details.

Hope it helps.

Do comment if you have any query.

Answer:

The weight increases from 32 lbs to 64 lbs

Step-by-step explanation:

The question is not complete, the complete question is:

An architectural firm must decide on the size of a scale model to present to a client. The area of the base A (in ft^2) is related to the weight of the model W (in lbs) according to the equation W^2 = 4A^3. If the area of the base is currently 16 ft^2? and is increased by 16ft^2 (while keeping the model to scale), determine the corresponding change in the weight of the model

Solution:  

Given that the square of the area of the base (A) is directly proportional to the cube of the weight of the model (W). The relationship is given as:

W² = 4A³

This means a the weight increase, the area also increases. To the determine the corresponding change in the weight of the model, we have to determine the weight when the area is 16 ft² and increased by 16 ft².

At A = 16 ft²

W² = 4A³

W² = 4(16³)

W² = 1024

W = √1024 = 32

W = 32 lbs

When the area is increased by 16 ft² A = 16 ft² + 16 ft² = 32 ft²

W² = 4A³

W² = 4(32³)

W² = 4096

W = √4096 = 64

W = 64 lbs

The weight increases from 32 lbs to 64 lbs

Answer:

B: Smith won 75% of all votes from South District.

Step-by-step explanation:

Find 75% of 180 which is 135, so the statement is true.

Answer: 8.2

Step-by-step explanation:

188.6 divided by the amount of guests is 188.6/23, the answer is 8.2

Answer:

Answer:

13.52 fluid ounces should be the right answer! :)

Step-by-step explanation:

Andre drank from the bottle 13.52 fluid ounces if he drank 80% of bottle.

Percentage is defined as the parts of a number in a whole of 100. This is denoted by the symbol '%'.

In other words, percentage can be defined as the ratio expressed as a fraction of 100.

Any number can be expressed as a percentage of another number by dividing the number with the whole of other number and then multiplying with 100.

Given that, fluid contained in a sports bottle = 16.9 fluid ounces.

Andre drank 80% of the fluid contained in the bottle.

80% of the bottle = 80% × 16.9

                             = (80 / 100) × 16.9

                             = 0.8 × 16.9

                             = 13.52

So this is the total fluid ounces Andre drink.

Hence Andre drank 13.52 fluid ounces from the bottle.

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Answer:

32 cm²

Step-by-step explanation:

U times 2 . 2. 4 = 32 cm²

In this configuration, there are two protons located at the origin and on the x-axis at x1 = 5.74 fm. (a) To calculate the electric potential energy associated with this configuration, we can use the formula U = kq1q2/r, where k is the electrostatic constant (approximately 8.99 x 10^9 Nm²/C²), q1 and q2 are the charges of the two protons (both equal to the elementary charge, approximately 1.6 x 10^-19 C), and r is the distance between them (in this case, 5.74 fm). Plugging in these values, we can calculate the electric potential energy.

(b) When an alpha particle (charge = 2e, mass = 6.64 x 10^-27 kg) is placed at (x2, y2) = (2.67, 2.67) fm, we can calculate the electric potential energy associated with this configuration using the same formula.

(c) If the alpha particle is allowed to escape to infinity while the two protons remain fixed in place, the change in electric potential energy can be calculated by subtracting the initial potential energy (calculated in part (b)) from the potential energy when the alpha particle is at infinity.

(d) Conservation of energy can be used to determine the speed of the alpha particle at infinity. The initial potential energy of the system (when the alpha particle is at (x2, y2)) will be equal to the sum of the kinetic energy of the alpha particle at infinity and the final potential energy of the system (when the alpha particle is at infinity).

(e) If the two protons are released from rest and the alpha particle remains fixed, the speed of the protons at infinity can be calculated using conservation of energy. The initial potential energy of the system (when the protons are at their initial positions) will be equal to the sum of the kinetic energy of the protons at infinity and the final potential energy of the system (when the protons are at infinity).

In summary, the electric potential energy associated with the given configurations is calculated using the formula U = kq1q2/r. By applying conservation of energy, we can determine the change in potential energy and the speeds of the particles at infinity in different scenarios.

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If Danny wants to buy the new sci-fi book for $15.75. Some of the books were signed by the author, and those cost an additional 60%. Then  new selling price for a signed sci-fi book is $25.52

Percentage, a relative value indicating hundredth parts of any quantity.

Given,

Danny wants to buy the new sci-fi book for $15.75.

Some of the books were signed by the author, and those cost an additional 60%

We need to calculate 60% of 15.75

Change 60% to decimal value by dividing with 100

60/100=0.6

Now multiply 0.6 with 15.75 to find 60% of 15.75

0.6×15.75

9.45

So 9.45 is the cost of books.

Add 15.75 with 60% amount

$15.75+$9.45

$25.52

Hence the new selling price for a signed sci-fi book is $25.52

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Answer: 2/10 or 1/5 simplified

Step-by-step explanation: Convert the 1/2 to a common denominator so that subtraction can be done. Once converted the problem will look like \(7/10 - 5/10\). Subtract 5 from the seven and you get \(2/10\) or \(1/5\).

The simplified expression of |(1/4-1/5)+(-3/4+1/8)| is |-0.57|.

In mathematics, the value that is equally divided by the two supplied numbers is known as the LCM of any two. Least Common Multiple is its full name. Another name for it is the Least Common Divisor (LCD). As an illustration, LCM (4, 5) = 20. In this case, the LCM 20 may be divided by both 4 and 5, hence these two numbers are referred to as the divisors of 20.

When the fractions' denominators differ, LCM can also be used to add or subtract any two fractions. LCM is used to make the denominators common when doing any arithmetic operations using fractions, such as addition and subtraction.

The given expression is:

|(1/4-1/5)+(-3/4+1/8)|

Take the LCM:

|(5 - 4)/ 20 + (-24 + 4)  32|

|1/20 - 20/32|

Take the LCM:

|(32 - 400) / 640|

|-368 / 640|

|-0.57|

Hence, the simplified expression of |(1/4-1/5)+(-3/4+1/8)| is |-0.57|.

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Answer:

y = -3

Step-by-step explanation:

As per the condition given

8 + y = 5

y = 5 - 8 = -3

Answer:

q122a

Step-by-step explanation:

The measure of <1 is 147 degree.

Given:

m∠2 = 12x - 15

m∠7 = 3x + 21

Since angles 2 and 7 are alternate Exterior angles, they are congruent.

So, 12x - 15 = 3x + 21

12x - 3x = 21 + 15

9x = 36

x = 4

So, <2 = 12x - 15= 48 - 15 = 33

Now, <1 + <2 = 180 (Linear Pair)

<1 + 33 = 180

<1 = 147 degree

Thus, the measure of <1 is 147 degree.

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No

A point is on a line if that point satisfies the equation.

Testing Points

To test if the point (2,7) is on the line y = 2x + 7, we need to plug the point into the equation. For the coordinate pair (2,7), the x-value is 2 and the y-value is 7. So, plug 2 in for x and 7 in for y.

Then, simplify.

As you can see, 7 does not equal 11. Thus, point (2,7) cannot be a point on the given line.

Other Points

We can do this same test with other points such as (1,9). The x-value is 1 and the y-value is 9, so now we can plug them in.

Since 9 equals 9 is a true statement, the point (1,9) is a point on the given line.

The reliability function is a useful tool for modeling the probability of failure of a system over time. And the probability of failure within 400 hours is approximately 14%.

The reliability function is a common tool used to model the probability of failure of a system over time. In this case, we will use an exponential distribution to model the failure rate of a light bulb.

Assuming an exponential distribution, a particular light bulb has a failure rate of 0.002. The failure rate is the average number of failures per unit of time. The exponential distribution has the property that the probability of failure is proportional to the length of time the system has been in operation.

The reliability function for an exponential distribution is given by R(t) = e^(-λt), where λ is the failure rate. The reliability function gives the probability that the system will still be functioning after t units of time.

So, the probability of failure within 400 hours is given by 1 - R(400), where R(400) is the reliability function evaluated at 400 hours.

1 - R(400) = 1 - e^(-0.002 * 400) = approximately 0.14

So, the probability of failure within 400 hours is approximately 14%.

By assuming an exponential distribution, the reliability function is given by R(t) = e^(-λt), where λ is the failure rate. In this case, the reliability function can be used to calculate the probability of failure within a given time period, such as 400 hours for the light bulb.

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Answer:

Step-by-step explanation:

P/6

The solutions using the relevant theorems are:

13. x = −3 or x = 4

14. x = 12

15. x = 12

16. x = 1/2 or x = 4

17. x = 5

18. x = −1 or x = 6

The midsegment of a triangle that joins two sides of a triangle divides the two sides proportionally based on the triangle midsegment theorem.

The angle bisector of a triangle, according to the angle bisector theorem divides the opposite angles sides in a proportional manner.

The theorem states that when three or more lines that are parallel is cut across by two transversals, they are divided by the transversal proportionally.

13. Apply the angle bisector theorem:

x/3 = (x + 4)/(x + 2)

Cross multiply

x(x + 2) = 3(x + 4)

x² + 2x = 3x + 12

x² + 2x - 3x - 12 = 0

x² - x - 12 = 0

Factorize

x = −3 or x = 4

14. Apply the angle bisector theorem:

16/x = 12/9

x(12) = (16)(9)

12x = 144

x = 12

15. Apply the angle bisector theorem:

(x - 4)/6 = x/9

9(x - 4) = 6x

9x - 36 = 6x

9x - 6x = 36

3x = 36

x = 12

16. Apply the triangle midsegment theorem:

3x/(x + 4) = (x - 1)/(x - 2)

Cross multiply

3x/(x + 4) = (x - 1)/(x - 2)

(x - 1)(x + 4) = 3x(x - 2)

x² + 3x - 4 = 3x² - 6x

x² + 3x - 4 - 3x² + 6x = 0

-2x² + 9x - 4 = 0

Factorize

x = 1/2 or x = 4

17. Apply the Parallel Lines and Proportionality Theorem:

(x + 3)/(2x + 2) = (2x + 2)/(4x - 2)

Cross multiply

4x² + 10x - 6 = 4x² + 8x + 4

4x² + 10x - 6 - 4x² - 8x - 4 = 0

2x - 10 = 0

2x = 10

x = 5

18. Apply the angle bisector theorem:

(2x + 3)/x = (x + 4)/(x - 2)

Cross multiply

(2x + 3)(x - 2) = x(x + 4)

2x² - x - 6 = x² + 4x

2x² - x - 6 - x² - 4x = 0

x² - 5x - 6 = 0

Factorize

x = −1 or x = 6

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Answer:

Decimal form : 66.67

Fraction form: 66 and 2 thirds / 100

Answer:

30 months

Step-by-step explanation:

Let the number of months = x

Carolines hair is 7 inches long and grows up to 1/5 inch each month.

7 + (1/5)x

= 7 + 0.2x

Trinity's hair is 10 inches long and grows about 1/10 inch each month.

10 + (1/10)x

10 + 0.1x

How many months will it take for Carolines hair to be atleast as long as Trinitys hair?

Caroline = Trinity

7 + 0.2x = 10 + 0.1x

0.2x - 0.1x = 10 - 7

0.1x = 3

x = 3/0.1

x = 30 months

Therefore, it will take for 30 months for Caroline's hair to be atleast as long as Trinitys hair

The equation -20,000(F/P, i*, 4) + 10,000 + 5,000 = 0 is used to calculate the project's internal rate of return (i*). The Option A/

The internal rate of return (IRR) is a metric used in financial analysis to estimate the profitability of potential investments. IRR is a discount rate that makes the net present value (NPV) of all cash flows equal to zero in a discounted cash flow analysis.

To get internal rate of return (i*), we need to solve the equation: \(-20 000(F/P, i*, 4) + 10 000 + 5 000 = 0\)

The initial cost of the project is -$20,000, the net annual cash inflow is $10,000 and the salvage value is $5,000. The equation represents the present value of cash flows over the project's duration.

Therefore, by solving the equation, we can determine the internal rate of return (i*) for the project.

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Set up an equation.

88km/1hour x 0.62mile/1km

88 x .62 = 54.56

The car is going 54.56 mph.

Hope this helps

Answer:

62.5%

Step-by-step explanation:

Answer:

62.5%

Step-by-step explanation:

Is means equals and  out of means divide

Let P be the percent

P = 45 / 72

P =.625

Change to percent form by multiplying by 100

P = 62.5%

Answer:

Step-by-step explanation:

I'm assuming you need the age of the bowl. Start with the fact that you have remaining 28% of the original amount before any of it decayed. You always start with 100% of something unless you're told differently. That means that the equation looks like this:

\(28=100e^{-.0001t}\) and begin by dividing both sides by 100 to get

\(.28=e^{-.0001t}\) . To solve for t we have to be able to bring it down from its current position of exponential. To do this we would either take the log or the natural log since the rules for both are the same. However, the natural log is the inverse of e, so they undo each other. We take the natural log of both sides which allows us to pull down the -.0001t. At the same time remember that the natural log and e are inverses of each other so they are both eliminated when we do this.

ln(.28) = -.0001t Now it's easy to solve for t.

\(\frac{ln(.28)}{-.0001}=t\) and

\(\frac{-1.272965676}{-.0001}=t\) so

t = 12729.65676 years or rounded, 12730 years.