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Answer: 150 boys

Step-by-step explanation:

Let the number of boys be x

Since there were 200 more girls than boys, the number of girls will be: = x + 200

Since the ratio of boys to girls was 3:7, this can be solved further below:

3/7 = x/x+200

Cross multiply

(7 × x) = 3(x + 200)

7x = 3x + 600

7x - 3x = 600

4x = 600

x = 600/4

x = 150

The number of boys enrolled is 150

Number of Girls will be:

= X + 200

= 150 + 200

= 350

Check: Number of boys / Number of girls

= 150/350

= 3/7

= 3:7

Answer:

its A

Step-by-step explanation:

(1) The statement that, "The $2 million is appropriate cash-inflow for the new edition of the book" is False because the cash-inflow is $1.8 million.

(2) The statement that, "Companies should use accounting profits, not cash flows, to make capital budgeting decisions" is False because, companies should focus on cash flows.

Part (1) The $2 million is not appropriate "cash-inflow" for "new-edition" of book. The $2 million represents "expected-sales" revenue from the new edition of "Foundation of Finance," but it does not take into account any costs or expenses associated with producing or marketing the book.

It is mentioned that $200,000 would have been spent on existing past edition of textbook. This expense needs to be deducted from expected sales revenue to determine the appropriate cash inflow.

So, appropriate cash-inflow for the new edition would be $2 million minus $200,000, which equals $1.8 million.

So, the statement is False.

Part (2) : Companies should use cash flows, not accounting-profits, to make capital budgeting decisions. Accounting-profits, also known as net income or earnings, are calculated based on accrual accounting principles and include non-cash items such as depreciation and amortization.

When making capital budgeting decisions, it is essential to consider the actual "cash-flows" generated by an investment project. Cash flows represent the cash inflows and outflows that occur over a specific period, and they are crucial for evaluating the feasibility and profitability of an investment.

Therefore, the statement is False.

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Answer: 1+1-1+2+3/4x8+56+1-7     =   59

Answer: x=-3.5

Step-by-step explanation:

Just warning that I am not sure about this answer, but this is how I view it:

2(RW)=TU

2(-5x+45)=-4x+41

-10x+90=-4x+41

90=-14x+41

49=-14x

x=-3.5

Let me know if this is right!

Answer:

if you are trying to find the length of the other three sides then

40 = 3x + 7

Step-by-step explanation:

The solution of the system of equations from the graph is x = 2.

The point of intersection formula is used to determine where two lines meet, or the point at which they intersect. In Euclidean geometry, the intersection of two lines can be either an empty set, a point, or a line. Two lines must meet certain requirements in order to intersect, including being in the same plane and not being skew lines. The intersection of these lines may be determined using the intersection formula.

The solution of the system of equations can be determined from the graph by determining the point of intersection between the two lines.

From the graph we observe that the point of intersection of the two lines is at (0, 2).

Hence, the solution of the system of equations is x = 2.

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The solutions to the blanks are below:

a) i) 0.2326

ii) 0.4652

b) i) 7

ii) 14

c) i) 11.3137

ii) 0.4242

To solve these questions we need to find the derivative

a) Let y=tan(4x + 6).

i) when x = 4 and dx = 0.2

dy = sec²(4x + 6) dx

dy = sec²(22) (0.2)

= 0.2326

ii) when x = 4 and dx = 0.4

dy = sec²(4x + 6) dx

dy = sec²(22) (0.4)

= 0.4652

b. Let y = 3x² + 5x +4.

i) when x = 5 and dx = 0.2

dy = (6x + 5) dx

dy = (6(5) + 5) (0.2)

= 7

ii) when x = 5 and dx = 0.4

dy = (6x + 5) dx

dy = (6(5) + 5) (0.4)

= 14

c. Let y=4√x.

i) when x = 2 and ∆x = 0.3

Δy = 4(√2.3) - 4(√2)

= 11.3137

ii) when x = 2 and dx = 0.3

dy = 2/√x dx

dy = 2/(√2) (0.3)

= 0.4242

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To prove that the argument is valid using propositional logic, we can apply logical rules and deductions. Let's break down the argument step by step:

(A + B) ^ (C V -B) ^ (-D --> C) ^ A ^ D

We will represent the proposition as follows:

P: (A + B)

Q: (C V -B)

R: (-D --> C)

S: A

T: D

From the given premises, we can deduce the following:

P ^ Q (Conjunction Elimination)

P (Simplification)

Now, let's apply the rules of disjunction elimination:

P (S)

A + B (Simplification)

Next, let's apply the rule of disjunction introduction:

C V -B (S ^ Q)

Using disjunction elimination again, we have:

C (S ^ Q ^ R)

Finally, let's apply the rule of modus ponens:

-D (S ^ Q ^ R)

C (S ^ Q ^ R)

Since we have derived the conclusion C using valid logical rules and deductions, we can conclude that the argument is valid.

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The perpendicular distance in parallelogram from a to bc is 6cm

Having two sets of parallel sides, a parallelogram is a straightforward (non-self-intersecting) quadrilateral. A parallelogram has opposite sides that are facing one another and opposite angles that areaof equal size. It is impossible to demonstrate either condition without referencing the Euclidean parallel postulate or one of its equivalent formulations because the congruence of opposed sides and opposite angles is a direct result of that assumption.

Given that : ABCD is parallelogram, AL⊥CD and AM⊥BC. If AB=7cm, AD=8 cm and AL=6 cm

ABCD is a parallelogram.

AL⊥CD and AM⊥BC          

AB=7 cm, BC= 8cm and AL= 6cm

We are aware that a parallelogram's opposite sides are equal.

AB=CD and AD=BC

 CD=7 cm and BC= 8cm

Area of a parallelogram ABCD=AL×CD

 =6×7

 42\(cm^{2}\) ------ ( 1 )

 Area of a parallelogram ABCD=AM×BC

AM×8   ----- ( 2 )

When we compare (1) to (2), we obtain,

AM×8=42

AM=6cm

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C. 0.0335 mm to 0.0345 mm

Step-by-step explanation:

The least significant digit of Craig's measurement is in the 0.001 mm place. The error in the measurement is presumed to fall within half that value either side of Craig's measurement. So, the actual value is expected to be in the range ...

0.034 - 0.0005 = 0.0335

to

0.034 + 0.0005 = 0.0345

The measurement is presumed to be in the range 0.0335 mm to 0.0345 mm.

Answer:

C

Step-by-step explanation:

cuz...just trust me

The horizontal distance between the base of the ladder and the wall is approximately 16.06 feet.

To find the flat distance between the foundation of the  stool and the wall, we utilize geometry. For this situation, we can utilize the sine capability, which relates the contrary side of a right triangle to the hypotenuse and the point inverse the contrary side.

Let x be the flat distance between the foundation of the stepping stool and the wall. Then, utilizing the given point of 64 degrees, we can compose:

sin(64) = inverse/hypotenuse

where the hypotenuse is the length of the stepping stool, which is 18 feet.

Addressing for the contrary side, which is the even distance we need to find, we get:

inverse = sin(64) x hypotenuse

inverse = sin(64) x 18

inverse = 16.06 feet

Accordingly, the even distance between the foundation of the stepping stool and the wall is roughly 16.06 feet.

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Step-by-step explanation:

sorry but I dont know

Answer: 654 grams

Step-by-step explanation:

that's the answer it gave it when I got it wrong.

After subtraction (3x+4) - (x+7), the resultant answer is 2x-3.

One of the four operations used in mathematics, along with addition, multiplication, and division, is subtraction.

Removal of items from a collection is represented by the operation of subtraction.

For instance, in the following image, there are 5 2 peaches, which means that 5 peaches have had 2 removed, leaving a total of 3 peaches.

So, we have:

(x+7) and (3x+4)

We have to subtract as:

(3x+4) - (x+7)

Now, subtract as follows:

(3x+4) - (x+7)

3x+4 - x-7

2x-3

Therefore, after subtraction (3x+4) - (x+7), the resultant answer is 2x-3.

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A quadratic regression equation for this set of data is y(x) = -69.27x² + 4921.02x - 37722.14.

For a selling price of 19.5 dollars, the profit is 31897.83.

In Mathematics, the standard form of a quadratic function is represented by the following equation;

ax² + bx + c = 0

Next, we would create a system of equation by using the data points provided above;

a(15.75)² + b(15.75) + c = 22602

248.06a + 15.75b + c = 22602    .....equation 1.

a(18.25)² + b(18.25) + c = 29017

333.06a + 18.25b + c = 29017    .....equation 2.

a(23.00)² + b(23.00) + c = 38820

529.00a + 23.00b + c = 38820    .....equation 3.

By solving the system of equations simultaneously, the values of a, b, and c are as follows;

a = -69.27

b = 4921.02

c = -37722.14

Therefore, the required quadratic function in standard form is given by;

ax² + bx + c = 0

y(x) = -69.27x² + 4921.02x - 37722.14

For a selling price of 19.5 dollars, the profit can be calculated as follows:

y(19.5) = -69.27(19.5)² + 4921.02(19.5) - 37722.14

y(19.5) = 31897.83.

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Answer:

Step-by-step explanation:

6x = 54

x = 54 /6

x=9

therefore value of x is 9

Answer:

6x=54 if x =9 because 54/6 equals nine

Step-by-step explanation:

Answer:

Step-by-step explanation:

a. From 4 to 7 is 3 units. 7-10 is another 3 units and so on. The constant 3 units is the common difference.

The formula for a arithmetic sequence is

\(a_{n}=a_{1}+d(n-1)\)

Where d is the common difference and a_1 is the first term.

\(a_{1}=4\) and \(d=3\). Thus the equation of the nth term is

\(a_{n}=4+3(n-1)\)

The first two steps in solving the radical equation √x - 6 + 5 = 12 are:

C. Subtract 5 from both sides and then square both sides.

The first two steps in solving the radical equation √x - 6 + 5 = 12 are:

C. Subtract 5 from both sides and then square both sides.

The correct steps are as follows:

Subtract 5 from both sides:

√x - 6 = 12 - 5

√x - 6 = 7

Square both sides of the equation:

(√x - 6)² = 7²

(x - 6)² = 49

Therefore, the correct choice is option C. Subtract 5 from both sides and then square both sides.

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Answer:

y=1/2x-2

Step-by-step explanation:

4x - 8y = 16

-8y = 16-4x

y=-2+ 1/2x

y=1/2x-2

mark brainliest pls

Answer:

$116

Step-by-step explanation:

The Simple Interest formula is i = prt.  Here,

i = ($1,450)(0.04)(2 yr) = $116

Answer:

y-5=2(x-3)

Explanation:

The point-slope form of the equation of a line is given as:

Given that:

Slope, m =2

Substituting the given values, we get:

This is the point-slope form of the equation of the line.

The Area of the composite figure = area of the rectangle + area of the triangle = 148.5 cm².

The figure formed by the arrow can be decomposed into a rectangle and a triangle.

The area of the composite figure = area of the rectangle + area of the triangle.

Find the area of the rectangle:

Length = 12 cm

Width = 11 cm

Area of the rectangle = (length)(width) = (12)(11)

Area of the rectangle = 132 cm²

Find the area of the triangle

Base = 11 cm

Height = 15 - 12 = 3 cm

Area of the triangle = 1/2(b)(h) = 1/2(11)(3)

Area of the triangle = 16.5 cm²

Area of the composite figure = area of the rectangle + area of the triangle = 132 + 16.5 = 148.5 cm².

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Answer:

Step-by-step explanation:

You can use the Pythagorean Theorem to find the length of the third side AB (Identified as "x" in the figure attached in the problem), which says that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the legs:

a² = b²+c²

As we can see the figure, the triangle does not have an angle of 90°, but it can be divided into two equal parts, leaving two triangles with a right angle. We already have the values of the hypotenuse and a leg in triangle "A" , so we can find the value of the other leg:

b = √(a²-c²) b = √(10²-4²) b = 9.16

With these values, we can find the hypotenuse in the triangle "B": x = √b²+c² x = √(9.16)²+(4)² x = 10

Answer:

80.75

Step-by-step explanation:

The correct journal entry to recognize the event of a $7,000, 30-day, 12% note not being paid by the maker at maturity on November 21 would be: Debit: Notes Receivable - $7,000 and Credit: Accounts Receivable - $7,000

1. The note is not paid at maturity, which means it becomes a bad debt for the company.

2. The amount of the note, $7,000, should be debited to Notes Receivable because it represents the principal amount of the note that is now considered uncollectible.

3. The credit entry of $7,000 should be made to Accounts Receivable because the maker of the note was initially recorded as a debtor (Accounts Receivable) when the note was created.

4. This journal entry reflects the recognition of the uncollectible note and removes the amount from the Accounts Receivable balance.
The entry does not involve the "cash" or "credit notes receivable" accounts because the note is not being paid and does not involve a transaction with cash.

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The situation that does not describe a causal relationship is the population of a country and the census taken every ten years.

The term relation in math defines the relationship between two or more set of values.

Here we need to find in which situation does not describe a causal relationship

As  we looking into the given options, we have identified that the option (b) is not the casual relationship because even though they are kind of related, one doesn't cause or result from  the other.

Therefore, option (b) is correct

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Answer:

1st space: -1

2nd space: 3

3rd space: 5

4th space: 9

Step-by-step explanation: Plug in the x-values into the equation and solve for y.

Answer:

1. D) -4/3 or 4/3

2. A) -6 or 8

Step-by-step explanation:

Answer:

x=4/3 or -4/3

x=8,-6

Step-by-step explanation: