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2 years ago

In a scholl there are 720 boys and 640 girls find the % of girls

Mathematics

1 answer:

Alexus [3.1K]2 years ago

5 0

Answer:

47%

Step-by-step explanation:

720+640=

1360. 640/1360 = 47

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The graph of the quadratic function y = ax^2 + bx + c is given.<br> Find a + b + c.

andrey2020 [161]

Answer:

$\frac{145}{24}\approx 6$ ***

Answers may vary depending on the person reading the graph.

It is hard to tell what they think crosses nicely.

For example, I decided that the graph crossed nicely at the following points:

$(0,3)$

$(2,8)$

$(6,5)$

Step-by-step explanation:

I see that the graph crosses at $(0,3)$ , $(2,8)$ , and $(6,5)$ .

The equation $y=ax^2+bx+c$ tells us the $y$ -intercept is $c$ since when $x=0$ we have $y=a(0)^2+b(0)+c=0+0+c=c$ .

The $y$ -intercept for our graph is $3$ . Therefore, $c=3$ .

So far we have the equation:

$y=ax^2+bx+3$ .

Let's enter the other points creating a system of linear equations to solve:

$8=a(2)^2+b(2)+3$

$5=a(6)^2+b(6)+3$

Let's simplify:

$8=4a+2b+3$

$5=36a+6b+3$

Let's subtract 3 on both sides:

$5=4a+2b$

$2=36a+6b$

I choose to solve the system by elimination.

Let's multiply the top equation by -3:

$-15=-12a-6b$

$2=36a+6b$

Now adding the equations results in:

$-13=24a$

Divide both sides by 24:

$\frac{-13}{24}=a$

Now using one of the equations we can find $b$ :

$5=4a+2b$ with $a=\frac{-13}{24}$

$5=4\frac{-13}{24}+2b$

$5=\frac{-13}{6}+2b$

Add 13/6 on both sides:

$5+\frac{13}{6}=2b$

$\frac{30+13}{6}=2b$

$\frac{43}{6}=2b$

Divide both sides by 2:

$\frac{43}{2(6)}=b$

$\frac{43}{12}=b$

So we have the equation:

$y=\frac{-13}{24}x^2+\frac{43}{12}+3$

Let's evaluate $a+b+c$ now:

$\frac{-13}{24}+\frac{43}{12}+3$

$\frac{-13+86+72}{24}$

$\frac{73+72}{24}$

$\frac{145}{24}$

4 0

3 years ago

Help as soon as possible!

8090 [49]

Step-by-step explanation:

Since both terms are perfect squares, factor using the difference of squares formula, a 2 − b 2 = ( a + b ) ( a − b ) where a = 7 and b = a + x . − ( 7 + a + x ) ( a + x − 7 )

7 0

1 year ago

Which statements about countries with lower GDP and lowest HDI scores are accurate? Check all that apply

yKpoI14uk [10]

Answer:The countries with lower GDP are the same as those with the lowest HDI.

U GDP is a solid indicator of what a country's HDI will be.

da

Step-by-step explanation:

Which statements about countries with lower GDP and lowest HDI scores are accurate?

The countries with lower GDP are the same as those with the lowest HDI - human development index a measure of life expectancy, education and per capita income indicators.

The GDP rank tends to be associated with the lowest HDI.

U GDP - gross domestic product the total monetary value of goods and services in country at a specific time period is a solid indicator of what a country's HDI will be.

The GDP can be used to rank a country's HDI

6 0

2 years ago

Read 2 more answers

When a depependent variable increases and the independent variable increases what is the constant rate of Change

GuDViN [60]

Maybe In a linear equation, the independent variable increases at a constant rate while the dependent variable decreases at a constant rate.

4 0

3 years ago

Solve for x: 4(x-2)+6=2(5x-6)

Katarina [22]

4(x - 2) + 6 = 2(5x - 6) <em>use distributive property</em>

(4)(x) + (4)(-2) + 6 = (2)(5x) + (2)(-6)

4x - 8 + 6 = 10x - 12

4x - 2 = 10x - 12 <em>add 2 to both sides</em>

4x = 10x - 10 <em>subtract 10 from both sides</em>

-6x = -10 <em>divide both sides by (-6)</em>

x = 10/6

8 0

3 years ago