a small school has 78 students. if 24 students are boys,what is the ratio of girls to boys?

Answer:

Interest = $720

Balance = $9,720

Step-by-step explanation:

P = $9,000, the principal

r = 8% = 0.08, the interest rate

n = 2, semiannual compounding

After 6 months, the interest is

9000 * 0.08 = $720

The balance after 6 months is

9000 + 720 = $9720

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Let P and Q be two complex numbers such that

P = a+bi

Q = c+di

Where a,b,c,d are real numbers and i = sqrt(-1).

This means i^2 = -1.

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

Adding P and Q means

P+Q = (a+bi)+(c+di)

P+Q = a+bi + c+di

P+Q = (a+c) + (bi+di)

P+Q = (a+c) + (b+d)i

As you can see, we just add the corresponding components together.

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

Subtraction is a similar story.

P-Q = (a+bi)-(c+di)

P-Q = a+bi - c-di

P-Q = (a-c) + (bi-di)

P-Q = (a-c) + (b-d)i

We subtract the corresponding components

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

Multiplication is a bit more complicated.

We'll use the FOIL rule

P*Q = (a+bi)*(c+di)

P*Q = a*c + a*di + bi*c + bi*di

P*Q = a*c + ad*i + bc*i + bd*i^2

P*Q = a*c + ad*i + bc*i + bd*(-1)

P*Q = a*c + ad*i + bc*i - bd

P*Q = (ac - bd) + (ad*i + bc*i)

P*Q = (ac - bd) + (ad + bc)i

Unfortunately multiplication isn't as simple as addition or subtraction, but we can at least make a tidy formula for it. You could also use the box method to visually organize the terms into a table to help multiply out P and Q.

Answer:

because they have different stepa

Answer:

the son age is 13band Evans age is 52 years old at present day

Dan is 12 years old.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let the Age of Dan is x years

Mr. Evans Age = 4x

If Mr. Evans was 46 years old 2 years ago

The, Present age of Mr. Evans = 48 years

So, Dan's Age = 48/4

                        = 12 years.

Hence, Dan is 12 years old.

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Answer:

Only integer solution is x=8

Step-by-step explanation:

\(\displaystyle \frac{1}{x}+\frac{1}{x+2}=\frac{9}{40}\\\\\frac{x+2}{x^2+2x}+\frac{x}{x^2+2x}=\frac{9}{40}\\\\\frac{2x+2}{x^2+2x}=\frac{9}{40}\\\\40(2x+2)=9(x^2+2x)\\\\80x+80=9x^2+18x\\\\0=9x^2-62x-80\\\\0=x^2-62x-720\\\\0=(x-72)(x+10)\\\\0=(x-8)(9x+10)\\\\x=8,\,x=-\frac{10}{9}\)

Therefore, the only integer solution is x=8

Answer:

it started as -14 degrees F if it dropped that means it goes left on the number line so it's negative and a negative plus a negative is a negative so it'd be -21 degrees F

Hello!

surface area

= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)

= 160cm²

Answer:

If you are asking for what I think then you answer is 138

Step-by-step explanation:

just plug 23 in for Y

23 x 6= 138

Answer:

9

Step-by-step explanation:

3x^2 + 3x - 9

Substitute x = 2 into the equation.

3(2)^2 + 3(2) - 9

3(4) + 6 - 9

12 + 6 - 9

18 - 9 =

9

Answer:

5g/cm^3

Step-by-step explanation:

DENSITY=mass/volume

=100/20

=5g/cm^3

So the density is 5g/cm^3

Answer:

D

Step-by-step explanation:

if the sum of the interior angles of a triangle are 180 just work backwards to find the answer

180 - 30 - 30 = 120

Answer:

4y

Step-by-step explanation:

y - (-3y)

y + 3y

4y

When you see two negatives they basically become an addition symbol. In this case you then add the like terms which are y and 3y to get 4y. Hope this helps!!

Conditional statements are statements that are either true or false, based on certain conditions.

The value of c is true

The condition is given as:

If A and B, then C

Where:

\(\mathbf{A = false}\)

\(\mathbf{B = false}\)

The reverse means that:

If not A and not B, then C

This means that:

\(\mathbf{not\ A = not\ false}\)

\(\mathbf{not\ B = not\ false}\)

So, we have:

\(\mathbf{not\ A = true}\)

\(\mathbf{not\ B = true}\)

For an and condition to be true, both values must be true.

So, we have:

If not A and not B, then C

Substitute known values

If true and true, then C

Because both values are true, then the value of C will also be true

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4x

5+4/2=5 imput x since you cant forget your variable

it's 8=8 meaning it is always true, and infinity.

Answer: all real num.

Step-by-step explanation:

4(a+2) = 8+4a

4a+8 = 8+4a

It can be all real number.

Question Completion

PIE CHART NUMBERS:

Answer:

0.000063

Step-by-step explanation:

Number of Respondents, n=1400

Probability that they would rate their financial shape as​ excellent = 0.09

Number of Those who would rate their financial shape as excellent

=0.09 X 1400

=126

Therefore:

The probability that 4 people chosen at random would rate their financial shape as​ excellent

\(=\dfrac{^{126}C_4 \times ^{1400-126}C_0}{^{1400}C_4} \\=\dfrac{^{126}C_4 \times ^{1274}C_0}{^{1400}C_4}\\=0.000063 $(correct to 6 decimal places)\)

The lateral surface area of a cylinder can be calculated as:

Is the area without counting the base and the top of the object.

A= area

r=radius

h=height

The heigth is h=14 in

The radius is r=8in

For the number pi I'll use it as 3.14

So the area is

The option that is closest to the calculated surface area is 615.75in²

Answer:

16 months

Step-by-step explanation:

In order to find the number of months it will take for Alma's bank account to reach $145, we can plug in 145 for y and solve for x:

Step 1:  Subtract 577 from both sides:

(145 = -27x + 577) - 577

-432 = -27x

Step 2:  Divide both sides by -27 to solve for x:

(-432 = -27x) / -27

16 = x

Thus, it will take 16 months for Alma's account to reach $145.

Answer:

n = 16

Step-by-step explanation:

The equation is,

→ √n = 4

Solving for the value of n,

→ √n = 4

→ n = 4²

→ [ n = 16 ]

Hence, the value of n is 16.

The largest angle of the triangle is ∠C = 66°

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

Now , the measure of ∠A = measure of ∠B = x

And , the measure of ∠C = measure of ∠A + 9°

Substituting the values in the equation , we get

x + x + ( x + 9 ) = 180

On simplifying the equation , we get

3x + 9 = 180

Subtracting 9 on both sides of the equation , we get

3x = 171

Divide by 3 on both sides of the equation , we get

x = 57°

So , the measure of ∠A = 57°

Now , the measure of ∠C = 57 + 9 = 66°

Hence , the measure of ∠C of triangle is 66°

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Answer: Hope this helps!

Step-by-step explanation:

This is distributive property!

4(2x+3)

4*2x=8x

4*3=12

Its is A 8x=12

Answer:

I think it’s B

Step-by-step explanation:

Answer:

36 players

Step-by-step explanation:

Total players = 48

Group 1 : Group 2

1:3

For Group 1:

=48X3÷4

=12

For Group 2:

=48X3÷4

=36

Group 1 players+Group 2 players=48 players

12+36=48

Answer:

3.8

Step-by-step explanation:

4 x 0.95 = 3.8

Answer:

three

Step-by-step explanation:

stem. is the tens place and the leaf is the. ones place

so you want to find 68 so you look in the stem column and look for six

in the row there are 6 numbers which mean:

60, 61, 67, 68, 68, 68

as you can see there is three 68 there for the answer ths 3

The missing statement is the quadratic formula and the correct option therefore is the third option;

The quadratic formula is used to find the solution of a quadratic equation. The quadratic formula is; \(x = \frac{-b\pm\sqrt{b^2-4\cdot a\cdot c} }{2\cdot a}\)

The statements and reasons can be presented algebraically as follows;

Statements \({}\)                                          Reasons

\(x^2+\frac{b}{a}\cdot x+(\frac{b}{2\cdot a} )^2 = -\frac{4\cdot a\cdot c}{4\cdot a^2}+ \frac{b^2}{4\cdot a^2}\)        Find a common denominator on the

                                                            right side of the equation

\(x^2 + \frac{b}{a} \cdot x+(\frac{b}{2\cdot a} )^2 = \frac{b^2-4\cdot a \cdot c}{4\cdot a^2}\)                 Add the fractions together on the

                                                     \({}\)        right side of the equation

\((x +\frac{b}{2\cdot a} )^2 = \frac{b^2 - 4\cdot a \cdot c}{4\cdot a^2}\)                             Rewrite the perfect squared equation

                                                      \({}\)      to the left side of the equation as a

                                                        \({}\)    binomial squared

\(x + \frac{b}{2\cdot a} = \pm\sqrt{\frac{b^2 - 4\cdot a \cdot c}{4\cdot a^2} }\)                   Take the square root of both sides of  the

                                                    \({}\) equation

\(\underline{x = \frac{-b\pm\sqrt{b^2 - 4\cdot a \cdot c} }{2\cdot a}}\)                                 Simplify the right side of the equation    

The correct option is therefore;

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Answer:

A

Step-by-step explanation:

i took the test

have a great day :) .!

Answer:

the product of the decimal equivalents of all discount in the series

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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Answer:

(−∞,∞)

Step-by-step explanation:

Since |x−5| is always positive and −2 is negative, |x−5| is always greater than −2, so the inequality is always true.

All real numbers

So, the answer is (−∞,∞)

Answer:

\(y = 75\)

Step-by-step explanation:

Given

\(y\ \alpha\ \ x\)

\(y=24; x =16\)

Required

Find y when \(x = 50\)

We have:

\(y\ \alpha\ \ x\)

Express as equation

\(y = kx\)

Solve for k

\(k = \frac{y}{x}\)

When \(y=24; x =16\)

\(k = \frac{24}{16}\)

\(k = \frac{3}{2}\)

When \(x = 50\), we have:

\(y = kx\)

\(y = \frac{3}{2} * 50\)

\(y = 75\)