In order to participate in the end of the year filed trip, the students at Francis Scott Key need
to fundraise $1200. They plan to have a fajita dinner. They have enough food to serve 240
people. They are charging adults $6 per plate, and students only have to pay $2 per plate.
How many adults and children need to buy a plate in order for them to exactly meet their
goal?​

Answer:

Step-by-step explanation: there you go

Answer:-10

Step-by-step explanation:

Answer: 4y^2-25

Step-by-step explanation:

The rate of change from 2015 to 2017 is -$250 per year.

Given that,

According to the scenario, computation of the given data are as follows,

Total change = $300 - $800

= -$500

Total years from 2015 to 2017 = 2 years

So rate of change = -$500 \(\div\) 2

= - $250

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Answer:

  8.5 years

Step-by-step explanation:

You want to know the number of years until 18500 depreciates to 9100 at the rate of 8% per year.

The depreciation rate given as a percentage of current value tells you the depreciation is exponential. The formula will be ...

  value = (initial value) × (1 - (depreciation rate))^t

where the rate is "per year" and t is in years.

  value = 18500·(1 -0.08)^t

  9100 = 18500·0.92^t . . . . fill in the value of interest

  9100/18500 = 0.92^t . . . . divide by 18500

  log(91/185) = t·log(0.92) . . . . take logarithms

  t = log(91/185)/log(0.92) ≈ -0.3081/-0.03621 ≈ 8.509

It will be about 8.5 years until the value is $9100.

__

Additional comment

The graph shows the solution to ...

  18500·0.92^t -9100 = 0

We find it fairly easy to locate an x-intercept, so we wrote the equation in the forms that makes the x-intercept the solution.

Given:

Amount borrowed (P)= $25000

Rate of interest (r)= 6%

Time (t)= 4 years.

To find:

The total interest the company pay in all.

Solution:

We know that,

\(A=P(1+r)^t\)

where, A is amount, P is principal, r is rate of interest and t is time period.

\(A=25000(1+\dfrac{6}{100})^4\)

\(A=25000(1.06)^4\)

\(A=25000(1.26247696)\)

\(A=31561.924 \)

Now,

\(I=A-P\)

\(I=31561.924-25000\)

\(I=6561.924\)

Therefore, the total interest is $6561.924.

Answer: $6,000

Step-by-step explanation:

Answer:

the answer is c

Step-by-step explanation:

im dumb don't listen but I know you will figure it out if you use you brain and you notes ; )

The required inequality describes the problem is  x ≤ 12.

A relationship that compares two numbers or other mathematical expressions in an unequal way is known as an inequality in mathematics. On the number line, it is most frequently used to compare the sizes of two numbers.

The term "inequality" in mathematics refers to a relationship between two expressions or values that is not equal to each other. Inequality originates from an imbalance, thus.

We have,

Edna's phone is fully charged, it can operate for up to 18 hours before running out of battery.

let x represent how many more hours edna's phone can operate without running out of battery.

Then

x + 6 ≤ 18

x ≤ 12

Thus,required inequality is x ≤ 12.

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The ocean freight charges for the given shipment in Canadian dollars would be approximately 603.25 CAD.

To calculate the ocean freight charges in Canadian dollars for the given shipment, we need to follow these steps:

Step 1: Calculate the volume and weight of each cargo item:

For the skids of Apple:

Volume = 100 cm x 100 cm x 150 cm

= 1,500,000 cm³

= 1.5 m³

Weight = 400 kg each x 2

= 800 kg

For the boxes of Orange:

Volume = 35" x 25" x 30"

= 26,250 cubic inches

= 0.4292 m³

Weight = 100 kg each x 3

= 300 kg

Step 2: Calculate the total volume and weight of the shipment:

Total Volume = Volume of Apples + Volume of Oranges

= 1.5 m³ + 0.4292 m³

= 1.9292 m³

Total Weight = Weight of Apples + Weight of Oranges

= 800 kg + 300 kg

= 1,100 kg

Step 3: Convert the ocean freight rate to Canadian dollars:

Ocean freight rate to Mumbai = $250 USD / m³

Conversion rate: 1 USD = 1.25 CAD (Canadian dollars)

Freight rate in CAD = $250 USD/m³ x 1.25 CAD/USD

= 312.5 CAD/m³

Step 4: Calculate the freight charges for the shipment:

Freight charges = Total Volume x Freight rate in CAD

Freight charges = 1.9292 m³ x 312.5 CAD/m³

= 603.25 CAD

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The value of the expression is 1/(9x)^2

From the question, we have the following parameters that can be used in our computation:

(-9x)^-2

We can write the expression without negative exponents by using a fraction with a positive exponent:

(-9x)^-2 = 1/(-9x)^2

And without parentheses, this expression becomes:

1/(9x)^2

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Given that sin(θ) = 1/8, we can determine cos(θ) using the Pythagorean identity and trigonometric ratios. It is found that cos(θ) = √(1 - sin²(θ)) = √(1 - (1/8)²) = √(1 - 1/64) = √(63/64) = √63/8.

To find cos(θ) given sin(θ) = 1/8, we can utilize the Pythagorean identity, which states that sin²(θ) + cos²(θ) = 1.

Rearranging this equation, we have cos²(θ) = 1 - sin²(θ).

Substituting sin(θ) = 1/8, we get cos²(θ) = 1 - (1/8)² = 1 - 1/64 = 63/64.

Taking the square root of both sides, we have cos(θ) = √(63/64).

Simplifying the expression further, we can rewrite the square root of 63/64 as √(63)/√(64).

The square root of 64 is 8, so the final result is √63/8.

Therefore, cos(θ) = √63/8 when sin(θ) = 1/8.

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Answer:

A. 13

Step-by-step explanation:

Answer:

y=3/10x

Hope that helped

Give brainiest answer as a thanks! :)

\(y = \frac{3}{10} x\)

um multiplication sign means of so 3/10 * means 3/10 of so yeah

By following the above procedure and having done the calculations the following questions can be answered:

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Answer:

Division C = 9%

Division E = 10%

Step-by-step explanation:

From the pie chart attached,

Let the missing percentage of division C and E are c% and e% respectively.

Since, division B + division C + division D = 50%

[Divisions on one half of the circle]

23% + c% + 18% = 50%

41% + c% = 50%

c = 50 - 41

c = 9%

Similarly, division A + division F + division E = 50%

27 + 13 + e = 50

40 + e = 50

e = 10%

Answer:

same side interior angles

3. What are pair relation exists between angle 7 and angle 4?

Explanation :

⠀

El sistema de ecuaciones queda descrita por las siguientes expresiones:

\(a+c = 12\)

\(2\cdot a + 3\cdot c = 33\)

Donde \(a\) y \(c\) son las cantidades de autos y camionetas.

El enunciado es equivalente a un sistema de dos ecuaciones lineales con dos incógnitas. Una ecuación para la cantidad de vehículos trasladados por el camión y otra ecuación para la masa total trasladada:

\(a+c = 12\) (1)

\(2\cdot a + 3\cdot c = 33\) (2)

Donde:

El sistema de ecuaciones queda descrita por las siguientes expresiones:

\(a+c = 12\)

\(2\cdot a + 3\cdot c = 33\)

Donde \(a\) y \(c\) son las cantidades de autos y camionetas.

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Answer: 2x+3y=5,4x+6y=10

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Answer:

x = 2 and y = -1

Step-by-step explanation:

simplify the first equation by dividing each term by -2

x - 3y = 5

now you can add this to 4x + 3y = 5 and the 'y-values' will be eliminated and you will have:

5x = 10

x = 2

substitute '2' for 'x' to solve for 'y':

-2(2) + 6y = -10

-4 + 6y = -10

6y = -6

y = -1

Answer:

Step-by-step explanation:

from the angles we understand that it is an isosceles right triangle, therefore x is also 13, we find y with the Pythagorean theorem

y = √(13² + 13²)

y = √(169 + 169)

y = √338

y = 18.38 (you can round to 18.4)

Answer:

x = 13 , y = 18.38

Step-by-step explanation:

p.s. There is two ways to answer it.

In Triangle,

if there is a right angle, other angles are the same.

It the angles are the same, the two sides are the same.

So, x = 13

By the Converse of the Pythagorean Theorem , these values make the triangle a right triangle.

(hypotenuse)² = (side of right triangle)² + (other side of right triangle)²

(hypotenuse)² = 13² + 13²

(hypotenuse)² = 169 + 169

(hypotenuse)² = 338

hypotenuse = 18.38

so y = 18.38

Answer:

27+6-2=31

Step-by-step explanation:

Answer:

20mph

Step-by-step explanation:

because when you divide the 280 it goes by 20 mph to get to 280 miles by quarters but in 20s

Step-by-step explanation:

the correct answer is option a 6a-7

Answer:

14

Step-by-step explanation:

answer: 32

Consider 2 digit numbers whose sum is 5

5

x

0

→

5

+

0

=

5

4

x

1

→

4

+

1

=

5

3

x

2

→

3

+

2

=

5

Now reverse the digits and compare with original 2 digit number. Starting with 4 1

4

x

1

→

1

x

4

and

41

−

14

=

27

≠

9

3

x

2

→

2

x

3

and

32

−

23

=

9

⇒

the number is

32

The solution of the given equation is x = 12. The solution is the value, that satisfies the given equation.

Given equation is 5(x - 1) + 3x = 7(x + 1)

On simplifying the equation, we get

5(x - 1) + 3x = 7(x + 1) ⇒ 5x - 5 + 3x = 7x + 7

⇒ 8x - 5 = 7x + 7

⇒ 8x - 7x = 7 + 5

⇒ x = 12

Therefore, the solution for the given equation is x = 12.

Here, the power or the degree of the variable x is 1 in the given equation. Thus, it has only one solution.

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Answer:

5

Step-by-step explanation:

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To find the current that supplies the maximum wattage, we need to take the derivative of the power function with respect to I, set it equal to zero, and solve for I. The derivative of the power function is:

dW/dI = 120 - 24I

Setting this equal to zero and solving for I, we get:

120 - 24I = 024I = 120I = 5

Therefore, the current that supplies the maximum wattage is 5 amps. We can verify that this is a maximum by checking the second derivative of the power function with respect to I. The second derivative is:

d^2W/dI^2 = -24Since the second derivative is negative, the function has a maximum at I = 5.

Please hit brainliest if this helped!

Answer:

We can find the current that supplies the maximum wattage by finding the value of I that maximizes the power function W(I) = 120I - 12I^2.

To do this, we can take the derivative of W with respect to I and set it equal to zero:

dW/dI = 120 - 24I = 0

Solving for I, we get:

I = 5

Therefore, the current that supplies the maximum wattage is 5 amps.

Answer: b. 5

Answer:

2652 is the correct answer

Answer:

Step-by-step explanation:

A$AP BEAN$: Khan Academy can help you. Do your work and stop cheating!!!!!

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The inequality to show the weight limit for the elevator is w < 1,800.

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal.

Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.

In this situation, the sign clearly stated that the total weight in the elevator must be less than 1,800 pounds.

The inequality will be:

w < 1800 where w is the weight.

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Answer:

We can start at the given point (-1, 2) and move down 3 units and right 4 units to plot the next point. Repeat this for however long you want the line to be.

Hope this helps!

Here is the diagram:

A correlation value of -0.8 or lower denotes a significant negative link, whereas one of -0.3 or lower denotes a negligibly weak relationship.

How to interpret a correlation coefficient?

The statistical measure of how well changes in the value of one variable predict changes in the value of another is called a correlation coefficient. The value rises or falls in step with positively associated variables.

Why is correlation coefficient significant? What does it mean?

As a whole, correlation coefficients are used to evaluate the direction and strength of the linear correlations between two sets of variables. When both variables have a normal distribution, use Pearson's correlation coefficient; otherwise, use Spearman's correlation coefficient.

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