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3 years ago

There are 45 boys and 54 girls in your school’s senior class. What is the ratio of boys to girls

Mathematics

1 answer:

strojnjashka [21]3 years ago

7 0

Answer:

5/6

Step-by-step explanation:

The ratio is:

45 / 54

Or, reduced:

5 / 6

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Are the graphs of the lines in the pair parallel? Explain. Find the slope of a line parallel to 5x+2y=6

Sonja [21]

Answer:

Yes the graphs of the lines are in pair parallel.

Step-by-step explanation:

They are in pair parallel because they do not touch each other. To find the slope of the line that is parallel to 5x+2y=6...

The first thing to do is subtract 5x since its a positive so it would look like this:

5x+2y=6

-5x =-5x

Next you would divide by 2 on each side so the y can be isolated:

5x+2y=6

-5x =-5x

2y = -5x + 6

2 2

Lastly the 2 divided by 2 gets crossed out because they cancel each other out and divide -5x by 2 and 6 by 2 then you would be stuck with this:

y= -2.5x+3

So your parallel slope would be -2.5x.

8 0

2 years ago

Atile factory earns money by charging a flat fee for delivery and a sales price of $0.25 per tile. One customer paid a

Vesnalui [34]

Answer: the first one is C

the second one is B

5 0

3 years ago

15 POINT PLZ HELP ILL EVEN GIVE BRAINLEST !!!!!!!!!!!! NO ONE EVER AWNSERS THESE KIND OF QUSTIONS I POST!!!! SO PLZ HELP!!thanks

BARSIC [14]

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (2, 5) and (4, 10). Substitute:

$m=\dfrac{10-5}{4-2}=\dfrac{5}{2}=2.5$

This means that 2.5mm of rain falls every hour

3 0

3 years ago

What is -3.5+(-4.9)=?What is the answer please?

musickatia [10]

Answer:

The answer is -8.4

6 0

2 years ago

Write the equation of a parabola having the vertex (1, −2) and containing the point (3, 6) in vertex form. Then, rewrite the equ

In-s [12.5K]

PART A

The equation of the parabola in vertex form is given by the formula,

$y - k = a {(x - h)}^{2}$

where

$(h,k)=(1,-2)$

is the vertex of the parabola.

We substitute these values to obtain,

$y + 2 = a {(x - 1)}^{2}$

The point, (3,6) lies on the parabola.

It must therefore satisfy its equation.

$6 + 2 = a {(3 - 1)}^{2}$

$8= a {(2)}^{2}$

$8=4a$

$a = 2$
Hence the equation of the parabola in vertex form is

$y + 2 = 2 {(x - 1)}^{2}$

PART B

To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.

$y + 2 = 2{(x - 1)}^{2}$

This implies that

$y + 2 = 2(x - 1)(x - 1)$

We expand to obtain,

$y + 2 = 2( {x}^{2} - 2x + 1)$

This will give us,

$y + 2 = 2 {x}^{2} - 4x + 2$

$y = {x}^{2} - 4x$

This equation is now in the form,

$y = a {x}^{2} + bx + c$
where

$a=1,b=-4,c=0$

This is the standard form

7 0

3 years ago