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2 years ago

The ratio of boys to girls in chorus is 2:5. If there are 42 students in the chorus how many are boys

Mathematics

2 answers:

ASHA 777 [7]2 years ago

8 0

Answer:

Step-by-step explanation:

Let's create a table

$\left[\begin{array}{cc}boys&girls\\2&5\\2x&5x\end{array}\right]$

2 : 5 is the same as 2x : 5x because you multiply both sides in 2:5 by x

If the ratio is 2x : 5x, what is the total?

2x + 5x = 7x

The total is 7x

However, we are given that there are 42 students

So, 7x = 42

x = 6

As we said earlier, boys = 2x

We know that x = 6, so 2x must equal to 12

There are 12 boys.

Hope this helps :)

Have a nice day!

AVprozaik [17]2 years ago

6 0

Answer:

What is the ratio of boys to girls in simplest form?

The ratio of boys : girls →4:5 so you have 4 boys and 5 girls making the whole count 4+5=9 in its simplest form. So to change the ratio proportion into fraction proportion we have: boys →49 of the whole

Step-by-step explanation:

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The equation of a line is y=-2x+1. What is the equation of the line that is parallel to the first line and passes through (2,2)?

Murrr4er [49]

Answer:

The equation in slope-intercept form is y=-2x+6.

The equation in standard form is 2x+y=6.

The equation in point-slope form is y-2=-2(x-2).

Step-by-step explanation:

The slope-intercept form of a line is y=mx+b where m is the slope and b is the y-intercept.

Parallel lines will have the same slope and different y-intercept.

Anyways the slope of y=-2x+1 is -2.

So the equation of our line we are looking for is -2.

So we know our equation is in the form y=-2x+b.

We must inf b using y=-2x+b with (x,y)=(2,2).

y=-2x +b with (x,y)=(2,2)

2=-2(2)+b

2=-4+b

Add 4 on both sides:

2+4=b

Simplify:

6=b

The equation is y=-2x+6.

Now it didn't say what form it wanted.

There are some forms I can give you like standard and point-slope form.

There is also general form but it is not too much different from standard form.

Standard form is ax+by=c where a,b, and c are integers if possible.

Point-slope form is y-y1=m(x-x1) where (x1,y1) is a point on the line and m is the slope.

So let's go for standard form (ax+by=c) first:

y=-2x+6

add 2x on both sides:

2x+y=6

This is standard form because it is in the form

ax+by=c.

Ok we know point (2,2) is on our line and we also know we have slope,m, is -2.

Point-slope form is

y-y1=m(x-x1)

y-2=-2(x-2)

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